- Author:
- Shelley Fong <s.fong@auckland.ac.nz>
- Date:
- 2022-03-04 08:58:46+13:00
- Desc:
- Adding time elapsed display
- Permanent Source URI:
- https://models.cellml.org/workspace/8a0/rawfile/53ca87874f8634775dd4155842ace3b1f82a865d/FCU_EC_coupling.m
tic;
[VOI, STATES, ALGEBRAIC, CONSTANTS] = mainFunction();
toc;
function [VOI, STATES, ALGEBRAIC, CONSTANTS] = mainFunction()
% This is the "main function". In Matlab, things work best if you rename this function to match the filename.
[VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel();
end
function [algebraicVariableCount] = getAlgebraicVariableCount()
% Used later when setting a global variable with the number of algebraic variables.
% Note: This is not the "main method".
algebraicVariableCount =231;
end
% There are a total of 57 entries in each of the rate and state variable arrays.
% There are a total of 181 entries in the constant variable array.
%
function [VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel()
[LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends();
% Create ALGEBRAIC of correct size
global algebraicVariableCount; algebraicVariableCount = getAlgebraicVariableCount();
% Initialise constants and state variables
[INIT_STATES, CONSTANTS] = initConsts;
% Set timespan to solve over
tspan = [0, 1e-1];
% Set numerical accuracy options for ODE solver
options = odeset('RelTol', 1e-06, 'AbsTol', 1e-06, 'MaxStep', 1e-3);
% Solve model with ODE solver
[VOI, STATES] = ode15s(@(VOI, STATES)computeRates(VOI, STATES, CONSTANTS), tspan, INIT_STATES, options);
% Compute algebraic variables
[RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS);
ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI);
vlabels = {'I_pulse in component environment (fA)',...
'V_m in component environment (volt)',...
'q_Cai in component environment (fmol)',...
'q_Ca_TRPN in component environment (fmol)',...
'tension in component crossbridge_TRPN (N_per_mm2)'};
[~, i_st, i_alg] = find_indices(vlabels, cellstr(LEGEND_CONSTANTS), cellstr(LEGEND_STATES), cellstr(LEGEND_ALGEBRAIC));
if i_st
plot_selected(i_st,VOI,STATES,'s',LEGEND_STATES,'STATES',ceil(sqrt(length(i_st))))
end
plot_selected(i_alg,VOI,ALGEBRAIC,'s',LEGEND_ALGEBRAIC,'ALGEBRAIC',ceil(sqrt(length(i_alg))))
end
function [i_con, i_st, i_alg] = find_indices(labels, LEGEND_CONSTANTS, LEGEND_STATES, LEGEND_ALGEBRAIC)
% return the indices for the selected labels
all_legends = [LEGEND_CONSTANTS; LEGEND_STATES; LEGEND_ALGEBRAIC];
i_con = [];
for i = 1:length(labels)
i_con = [i_con; find(strcmp(labels{i},LEGEND_CONSTANTS))];
end
i_st = [];
for i = 1:length(labels)
i_st = [i_st; find(strcmp(labels{i},LEGEND_STATES))];
end
i_alg = [];
for i = 1:length(labels)
i_alg = [i_alg; find(strcmp(labels{i},LEGEND_ALGEBRAIC))];
end
if length(i_con) + length(i_st) + length(i_alg) < length(labels)
error('missing index');
end
end
function [] = plot_selected(ids,x,y,legend_x,legend_y,titlestr,ns)
istart = 1;
figure();
% plot stimuli
for i = 1:length(ids)
subplot(ns,ns,i)
plotting_x = x(istart:end);
plotting_y = y(istart:end,ids(i));
if isempty(plotting_y) % probably a constant scalar
plotting_y = repmat(y(ids(i)),2);
plotting_x = [x(istart), x(end)];
end
plot(plotting_x, plotting_y);
xlabel('time (s)');
str = split(legend_y(ids(i),:), ' ');
str = legend_y(ids(i),:);
l = legend(str);
set(l,'interpreter','none');
end
suptitle(titlestr)
end
function [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends()
LEGEND_STATES = ''; LEGEND_ALGEBRAIC = ''; LEGEND_VOI = ''; LEGEND_CONSTANTS = '';
LEGEND_CONSTANTS(:,1) = strpad('kappa_R_TRPNCa in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,2) = strpad('kappa_R_BU in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,3) = strpad('kappa_R_UW in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,4) = strpad('kappa_R_WS in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,5) = strpad('kappa_R_SU in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,6) = strpad('kappa_Ca1 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,7) = strpad('kappa_Ca2 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,8) = strpad('kappa_K1 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,9) = strpad('kappa_K2 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,10) = strpad('kappa_d000 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,11) = strpad('kappa_d010 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,12) = strpad('kappa_d020 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,13) = strpad('kappa_d001 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,14) = strpad('kappa_d011 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,15) = strpad('kappa_d021 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,16) = strpad('kappa_f1_000 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,17) = strpad('kappa_f1_100 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,18) = strpad('kappa_f1_001 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,19) = strpad('kappa_f1_101 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,20) = strpad('kappa_f2_000 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,21) = strpad('kappa_f2_100 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,22) = strpad('kappa_f2_001 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,23) = strpad('kappa_f2_101 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,24) = strpad('kappa_f3_010 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,25) = strpad('kappa_f3_110 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,26) = strpad('kappa_f3_011 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,27) = strpad('kappa_f3_111 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,28) = strpad('kappa_fCa000 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,29) = strpad('kappa_fCa100 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,30) = strpad('kappa_fCa010 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,31) = strpad('kappa_fCa110 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,32) = strpad('kappa_fCa020 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,33) = strpad('kappa_fCa120 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,34) = strpad('kappa_PLBph1 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,35) = strpad('kappa_PLBph2 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,36) = strpad('kappa_PLBd1 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,37) = strpad('kappa_PLBd2 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,38) = strpad('kappa_Inh in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,39) = strpad('kappa_RyR in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,40) = strpad('kappa_OC in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,41) = strpad('kappa_CCI in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,42) = strpad('kappa_CII in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,43) = strpad('kappa_IO in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,44) = strpad('kappa_SERCA_R1_2 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,45) = strpad('kappa_SERCA_R2_4 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,46) = strpad('kappa_SERCA_R2_2a in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,47) = strpad('kappa_SERCA_R4_5 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,48) = strpad('kappa_SERCA_R5_6 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,49) = strpad('kappa_SERCA_R6_8 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,50) = strpad('kappa_SERCA_R8_9 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,51) = strpad('kappa_SERCA_R9_10 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,52) = strpad('kappa_SERCA_R10_1 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,53) = strpad('K_TRPN in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,54) = strpad('K_Cai in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,55) = strpad('K_Ca_TRPN in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,56) = strpad('K_B in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,57) = strpad('K_U in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,58) = strpad('K_W in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,59) = strpad('K_S in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,60) = strpad('K_Cao in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,61) = strpad('K_Ki in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,62) = strpad('K_Ko in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,63) = strpad('K_000_LCC in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,64) = strpad('K_010_LCC in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,65) = strpad('K_020_LCC in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,66) = strpad('K_100_LCC in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,67) = strpad('K_110_LCC in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,68) = strpad('K_120_LCC in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,69) = strpad('K_001_LCC in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,70) = strpad('K_011_LCC in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,71) = strpad('K_021_LCC in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,72) = strpad('K_101_LCC in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,73) = strpad('K_111_LCC in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,74) = strpad('K_121_LCC in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,75) = strpad('K_PLB in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,76) = strpad('K_PKACI in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,77) = strpad('K_PLB_PKACI in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,78) = strpad('K_PP1 in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,79) = strpad('K_PLBp_PP1 in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,80) = strpad('K_PLBp in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,81) = strpad('K_Ip in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,82) = strpad('K_Ip_PP1 in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,83) = strpad('K_Ca_SR in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,84) = strpad('K_C_RyR in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,85) = strpad('K_CI_RyR in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,86) = strpad('K_I_RyR in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,87) = strpad('K_O_RyR in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,88) = strpad('K_P1_SERCA in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,89) = strpad('K_P2_SERCA in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,90) = strpad('K_P2a_SERCA in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,91) = strpad('K_P4_SERCA in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,92) = strpad('K_P5_SERCA in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,93) = strpad('K_P6_SERCA in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,94) = strpad('K_P8_SERCA in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,95) = strpad('K_P9_SERCA in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,96) = strpad('K_P10_SERCA in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,97) = strpad('K_H in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,98) = strpad('K_MgATP in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,99) = strpad('K_MgADP in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,100) = strpad('K_P in component BG_parameters (per_fmol)');
LEGEND_VOI = strpad('time in component environment (second)');
LEGEND_CONSTANTS(:,101) = strpad('vol_myo in component environment (pL)');
LEGEND_CONSTANTS(:,102) = strpad('freq in component environment (dimensionless)');
LEGEND_ALGEBRAIC(:,224) = strpad('v_RyR in component RyR (fmol_per_sec)');
LEGEND_CONSTANTS(:,103) = strpad('C_m in component environment (fF)');
LEGEND_CONSTANTS(:,104) = strpad('F in component constants (C_per_mol)');
LEGEND_STATES(:,1) = strpad('q_membrane in component environment (fC)');
LEGEND_ALGEBRAIC(:,44) = strpad('V_m in component environment (volt)');
LEGEND_CONSTANTS(:,105) = strpad('q_TRPN_init in component environment (fmol)');
LEGEND_CONSTANTS(:,106) = strpad('q_Ca_TRPN_init in component environment (fmol)');
LEGEND_CONSTANTS(:,107) = strpad('q_Cai_init in component environment (fmol)');
LEGEND_CONSTANTS(:,108) = strpad('q_B_init in component environment (fmol)');
LEGEND_CONSTANTS(:,109) = strpad('q_U_init in component environment (fmol)');
LEGEND_CONSTANTS(:,110) = strpad('q_W_init in component environment (fmol)');
LEGEND_CONSTANTS(:,111) = strpad('q_S_init in component environment (fmol)');
LEGEND_CONSTANTS(:,112) = strpad('q_Cao_init in component environment (fmol)');
LEGEND_CONSTANTS(:,113) = strpad('q_Ki_init in component environment (fmol)');
LEGEND_CONSTANTS(:,114) = strpad('q_Ko_init in component environment (fmol)');
LEGEND_CONSTANTS(:,115) = strpad('q_PLB_init in component environment (fmol)');
LEGEND_CONSTANTS(:,116) = strpad('q_PKACI_init in component environment (fmol)');
LEGEND_CONSTANTS(:,117) = strpad('q_PLB_PKACI_init in component environment (fmol)');
LEGEND_CONSTANTS(:,118) = strpad('q_PP1_init in component environment (fmol)');
LEGEND_CONSTANTS(:,119) = strpad('q_PLBp_PP1_init in component environment (fmol)');
LEGEND_CONSTANTS(:,120) = strpad('q_PLBp_init in component environment (fmol)');
LEGEND_CONSTANTS(:,121) = strpad('q_Ip_init in component environment (fmol)');
LEGEND_CONSTANTS(:,122) = strpad('q_Ip_PP1_init in component environment (fmol)');
LEGEND_CONSTANTS(:,123) = strpad('q_Ca_SR_init in component environment (fmol)');
LEGEND_CONSTANTS(:,124) = strpad('q_H_init in component environment (fmol)');
LEGEND_CONSTANTS(:,125) = strpad('q_P_init in component environment (fmol)');
LEGEND_CONSTANTS(:,126) = strpad('q_MgADP_init in component environment (fmol)');
LEGEND_CONSTANTS(:,127) = strpad('q_MgATP_init in component environment (fmol)');
LEGEND_ALGEBRAIC(:,4) = strpad('q_TRPN in component environment (fmol)');
LEGEND_ALGEBRAIC(:,14) = strpad('q_Cai in component environment (fmol)');
LEGEND_ALGEBRAIC(:,18) = strpad('q_Ca_TRPN in component environment (fmol)');
LEGEND_ALGEBRAIC(:,22) = strpad('q_B in component environment (fmol)');
LEGEND_ALGEBRAIC(:,25) = strpad('q_U in component environment (fmol)');
LEGEND_ALGEBRAIC(:,29) = strpad('q_W in component environment (fmol)');
LEGEND_ALGEBRAIC(:,34) = strpad('q_S in component environment (fmol)');
LEGEND_ALGEBRAIC(:,20) = strpad('q_Cao in component environment (fmol)');
LEGEND_ALGEBRAIC(:,24) = strpad('q_Ki in component environment (fmol)');
LEGEND_ALGEBRAIC(:,27) = strpad('q_Ko in component environment (fmol)');
LEGEND_ALGEBRAIC(:,1) = strpad('q_PLB in component environment (fmol)');
LEGEND_ALGEBRAIC(:,11) = strpad('q_PKACI in component environment (fmol)');
LEGEND_ALGEBRAIC(:,15) = strpad('q_PLB_PKACI in component environment (fmol)');
LEGEND_ALGEBRAIC(:,19) = strpad('q_PP1 in component environment (fmol)');
LEGEND_ALGEBRAIC(:,23) = strpad('q_PLBp_PP1 in component environment (fmol)');
LEGEND_ALGEBRAIC(:,26) = strpad('q_PLBp in component environment (fmol)');
LEGEND_ALGEBRAIC(:,30) = strpad('q_Ip in component environment (fmol)');
LEGEND_ALGEBRAIC(:,35) = strpad('q_Ip_PP1 in component environment (fmol)');
LEGEND_ALGEBRAIC(:,31) = strpad('q_Ca_SR in component environment (fmol)');
LEGEND_ALGEBRAIC(:,36) = strpad('q_H in component environment (fmol)');
LEGEND_ALGEBRAIC(:,40) = strpad('q_MgATP in component environment (fmol)');
LEGEND_ALGEBRAIC(:,47) = strpad('q_MgADP in component environment (fmol)');
LEGEND_ALGEBRAIC(:,52) = strpad('q_P in component environment (fmol)');
LEGEND_STATES(:,2) = strpad('q_TRPN in component crossbridge_TRPN (fmol)');
LEGEND_STATES(:,3) = strpad('q_Cai in component crossbridge_TRPN (fmol)');
LEGEND_STATES(:,4) = strpad('q_Ca_TRPN in component crossbridge_TRPN (fmol)');
LEGEND_STATES(:,5) = strpad('q_B in component crossbridge_TRPN (fmol)');
LEGEND_STATES(:,6) = strpad('q_U in component crossbridge_TRPN (fmol)');
LEGEND_STATES(:,7) = strpad('q_W in component crossbridge_TRPN (fmol)');
LEGEND_STATES(:,8) = strpad('q_S in component crossbridge_TRPN (fmol)');
LEGEND_ALGEBRAIC(:,96) = strpad('T_total in component crossbridge_TRPN (kPa)');
LEGEND_STATES(:,9) = strpad('SL in component crossbridge_TRPN (metre)');
LEGEND_STATES(:,10) = strpad('q_Cai in component LCC (fmol)');
LEGEND_STATES(:,11) = strpad('q_Cao in component LCC (fmol)');
LEGEND_STATES(:,12) = strpad('q_Ki in component LCC (fmol)');
LEGEND_STATES(:,13) = strpad('q_Ko in component LCC (fmol)');
LEGEND_ALGEBRAIC(:,163) = strpad('v_Ca_fgate in component LCC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,37) = strpad('q_Ca_fgate in component LCC_gate (fmol)');
LEGEND_STATES(:,14) = strpad('q_PLB in component PLB (fmol)');
LEGEND_STATES(:,15) = strpad('q_PKACI in component PLB (fmol)');
LEGEND_STATES(:,16) = strpad('q_PLB_PKACI in component PLB (fmol)');
LEGEND_STATES(:,17) = strpad('q_PP1 in component PLB (fmol)');
LEGEND_STATES(:,18) = strpad('q_PLBp_PP1 in component PLB (fmol)');
LEGEND_STATES(:,19) = strpad('q_PLBp in component PLB (fmol)');
LEGEND_STATES(:,20) = strpad('q_Ip in component PLB (fmol)');
LEGEND_STATES(:,21) = strpad('q_Ip_PP1 in component PLB (fmol)');
LEGEND_STATES(:,22) = strpad('q_Ca_SR in component RyR (fmol)');
LEGEND_STATES(:,23) = strpad('q_Cai in component RyR (fmol)');
LEGEND_ALGEBRAIC(:,41) = strpad('q_Ca_gate_complexes in component RyR_gate (fmol)');
LEGEND_STATES(:,24) = strpad('q_H in component SERCA (fmol)');
LEGEND_STATES(:,25) = strpad('q_Cai in component SERCA (fmol)');
LEGEND_STATES(:,26) = strpad('q_Ca_SR in component SERCA (fmol)');
LEGEND_STATES(:,27) = strpad('q_MgATP in component SERCA (fmol)');
LEGEND_STATES(:,28) = strpad('q_MgADP in component SERCA (fmol)');
LEGEND_STATES(:,29) = strpad('q_P in component SERCA (fmol)');
LEGEND_ALGEBRAIC(:,48) = strpad('q_SERCA_Ca_complexes in component SERCA (fmol)');
LEGEND_ALGEBRAIC(:,39) = strpad('I_pulse in component environment (fA)');
LEGEND_CONSTANTS(:,128) = strpad('pulse_start in component environment (second)');
LEGEND_CONSTANTS(:,129) = strpad('pulse_end in component environment (second)');
LEGEND_CONSTANTS(:,130) = strpad('pulseMag in component environment (fA)');
LEGEND_CONSTANTS(:,131) = strpad('pulseHolding in component environment (fA)');
LEGEND_ALGEBRAIC(:,225) = strpad('v_E_RyR in component environment (fA)');
LEGEND_ALGEBRAIC(:,217) = strpad('v_E_LCC in component LCC (fA)');
LEGEND_ALGEBRAIC(:,227) = strpad('sum_I in component environment (fA)');
LEGEND_CONSTANTS(:,132) = strpad('zCa in component ion_valences (dimensionless)');
LEGEND_CONSTANTS(:,133) = strpad('zK in component ion_valences (dimensionless)');
LEGEND_ALGEBRAIC(:,53) = strpad('Ca_T in component environment (fmol)');
LEGEND_ALGEBRAIC(:,32) = strpad('PLB_T in component environment (fmol)');
LEGEND_ALGEBRAIC(:,21) = strpad('PKACI_T in component environment (fmol)');
LEGEND_ALGEBRAIC(:,42) = strpad('Ip_T in component environment (fmol)');
LEGEND_ALGEBRAIC(:,28) = strpad('K_i_T in component environment (fmol)');
LEGEND_ALGEBRAIC(:,33) = strpad('K_o_T in component environment (fmol)');
LEGEND_CONSTANTS(:,134) = strpad('R in component constants (J_per_K_per_mol)');
LEGEND_CONSTANTS(:,135) = strpad('T in component constants (kelvin)');
LEGEND_CONSTANTS(:,136) = strpad('zNa in component ion_valences (dimensionless)');
LEGEND_CONSTANTS(:,137) = strpad('zCl in component ion_valences (dimensionless)');
LEGEND_CONSTANTS(:,138) = strpad('n_Tm in component crossbridge_TRPN (dimensionless)');
LEGEND_ALGEBRAIC(:,38) = strpad('mu_TRPN in component crossbridge_TRPN (J_per_mol)');
LEGEND_ALGEBRAIC(:,43) = strpad('mu_Cai in component crossbridge_TRPN (J_per_mol)');
LEGEND_ALGEBRAIC(:,49) = strpad('mu_Ca_TRPN in component crossbridge_TRPN (J_per_mol)');
LEGEND_ALGEBRAIC(:,54) = strpad('mu_B in component crossbridge_TRPN (J_per_mol)');
LEGEND_ALGEBRAIC(:,58) = strpad('mu_U in component crossbridge_TRPN (J_per_mol)');
LEGEND_ALGEBRAIC(:,63) = strpad('mu_W in component crossbridge_TRPN (J_per_mol)');
LEGEND_ALGEBRAIC(:,68) = strpad('mu_S in component crossbridge_TRPN (J_per_mol)');
LEGEND_ALGEBRAIC(:,108) = strpad('v_R_TRPNCa in component crossbridge_TRPN (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,73) = strpad('v_R_BU in component crossbridge_TRPN (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,82) = strpad('v_R_UW in component crossbridge_TRPN (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,87) = strpad('v_R_WS in component crossbridge_TRPN (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,92) = strpad('v_R_SU in component crossbridge_TRPN (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,100) = strpad('tension in component crossbridge_TRPN (N_per_mm2)');
LEGEND_ALGEBRAIC(:,104) = strpad('mu_tension in component crossbridge_TRPN (J_per_mol)');
LEGEND_CONSTANTS(:,139) = strpad('kf_coeff in component crossbridge_TRPN (dimensionless)');
LEGEND_CONSTANTS(:,174) = strpad('n in component crossbridge_TRPN (J_per_mol)');
LEGEND_CONSTANTS(:,140) = strpad('hh in component crossbridge_TRPN (mm2_per_N)');
LEGEND_CONSTANTS(:,141) = strpad('SL_0 in component crossbridge_TRPN (metre)');
LEGEND_CONSTANTS(:,142) = strpad('q_MS in component crossbridge_TRPN (fmol)');
LEGEND_CONSTANTS(:,143) = strpad('r_s in component crossbridge_TRPN (dimensionless)');
LEGEND_CONSTANTS(:,144) = strpad('r_w in component crossbridge_TRPN (dimensionless)');
LEGEND_CONSTANTS(:,145) = strpad('A_eff in component crossbridge_TRPN (dimensionless)');
LEGEND_CONSTANTS(:,146) = strpad('phi in component crossbridge_TRPN (dimensionless)');
LEGEND_CONSTANTS(:,147) = strpad('k_uw in component crossbridge_TRPN (per_sec)');
LEGEND_CONSTANTS(:,148) = strpad('k_ws in component crossbridge_TRPN (per_sec)');
LEGEND_STATES(:,30) = strpad('G_w in component crossbridge_TRPN (metre)');
LEGEND_STATES(:,31) = strpad('G_s in component crossbridge_TRPN (metre)');
LEGEND_CONSTANTS(:,171) = strpad('c_w in component crossbridge_TRPN (per_sec)');
LEGEND_CONSTANTS(:,172) = strpad('c_s in component crossbridge_TRPN (per_sec)');
LEGEND_CONSTANTS(:,173) = strpad('A_w in component crossbridge_TRPN (dimensionless)');
LEGEND_CONSTANTS(:,176) = strpad('A_s in component crossbridge_TRPN (dimensionless)');
LEGEND_ALGEBRAIC(:,12) = strpad('mu_1 in component crossbridge_TRPN (J_per_m)');
LEGEND_CONSTANTS(:,177) = strpad('mu_2 in component crossbridge_TRPN (J_per_m)');
LEGEND_ALGEBRAIC(:,2) = strpad('mu_3 in component crossbridge_TRPN (J_per_m)');
LEGEND_ALGEBRAIC(:,13) = strpad('mu_4 in component crossbridge_TRPN (J_per_m)');
LEGEND_CONSTANTS(:,180) = strpad('mu_5 in component crossbridge_TRPN (J_per_m)');
LEGEND_ALGEBRAIC(:,3) = strpad('mu_6 in component crossbridge_TRPN (J_per_m)');
LEGEND_ALGEBRAIC(:,16) = strpad('v_1 in component crossbridge_TRPN (m_per_s)');
LEGEND_CONSTANTS(:,149) = strpad('v_2 in component crossbridge_TRPN (m_per_s)');
LEGEND_ALGEBRAIC(:,17) = strpad('v_4 in component crossbridge_TRPN (m_per_s)');
LEGEND_CONSTANTS(:,150) = strpad('v_to_mu in component crossbridge_TRPN (Js_per_m2)');
LEGEND_ALGEBRAIC(:,69) = strpad('T_active in component crossbridge_TRPN (kPa)');
LEGEND_CONSTANTS(:,151) = strpad('T_ref in component crossbridge_TRPN (kPa)');
LEGEND_ALGEBRAIC(:,64) = strpad('mu_T_a in component crossbridge_TRPN (kPa)');
LEGEND_ALGEBRAIC(:,55) = strpad('mu_T_S in component crossbridge_TRPN (kPa)');
LEGEND_ALGEBRAIC(:,59) = strpad('mu_T_W in component crossbridge_TRPN (kPa)');
LEGEND_STATES(:,32) = strpad('Cdd in component crossbridge_TRPN (metre)');
LEGEND_ALGEBRAIC(:,74) = strpad('eta in component crossbridge_TRPN (per_sec)');
LEGEND_CONSTANTS(:,152) = strpad('eta_l in component crossbridge_TRPN (per_sec)');
LEGEND_CONSTANTS(:,153) = strpad('eta_s in component crossbridge_TRPN (per_sec)');
LEGEND_CONSTANTS(:,154) = strpad('k in component crossbridge_TRPN (dimensionless)');
LEGEND_CONSTANTS(:,155) = strpad('alpha in component crossbridge_TRPN (kPa)');
LEGEND_ALGEBRAIC(:,81) = strpad('v_Cdd in component crossbridge_TRPN (m_per_s)');
LEGEND_ALGEBRAIC(:,75) = strpad('mu_d in component crossbridge_TRPN (J_per_m)');
LEGEND_ALGEBRAIC(:,76) = strpad('mu_k in component crossbridge_TRPN (J_per_m)');
LEGEND_ALGEBRAIC(:,77) = strpad('mu_f in component crossbridge_TRPN (J_per_m)');
LEGEND_ALGEBRAIC(:,86) = strpad('mu_T_passive in component crossbridge_TRPN (kPa)');
LEGEND_ALGEBRAIC(:,91) = strpad('T_passive in component crossbridge_TRPN (kPa)');
LEGEND_CONSTANTS(:,178) = strpad('RT in component LCC (J_per_mol)');
LEGEND_ALGEBRAIC(:,50) = strpad('mu_E in component LCC (J_per_C)');
LEGEND_ALGEBRAIC(:,78) = strpad('mu_mem_Ca in component LCC (J_per_mol)');
LEGEND_ALGEBRAIC(:,83) = strpad('mu_mem_K in component LCC (J_per_mol)');
LEGEND_ALGEBRAIC(:,168) = strpad('v_CaGHK_i in component LCC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,145) = strpad('v_CaGHK_o in component LCC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,148) = strpad('v_KGHK_i in component LCC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,149) = strpad('v_KGHK_o in component LCC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,56) = strpad('mu_Cai in component LCC (J_per_mol)');
LEGEND_ALGEBRAIC(:,60) = strpad('mu_Cao in component LCC (J_per_mol)');
LEGEND_ALGEBRAIC(:,65) = strpad('mu_Ki in component LCC (J_per_mol)');
LEGEND_ALGEBRAIC(:,70) = strpad('mu_Ko in component LCC (J_per_mol)');
LEGEND_ALGEBRAIC(:,117) = strpad('mu_S111 in component LCC_gate (J_per_mol)');
LEGEND_ALGEBRAIC(:,133) = strpad('mu_S121 in component LCC_gate (J_per_mol)');
LEGEND_ALGEBRAIC(:,119) = strpad('Af_Ca1 in component LCC (J_per_mol)');
LEGEND_ALGEBRAIC(:,121) = strpad('Ar_Ca1 in component LCC (J_per_mol)');
LEGEND_ALGEBRAIC(:,127) = strpad('v_Ca1 in component LCC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,143) = strpad('v_Ca2 in component LCC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,129) = strpad('v_K1 in component LCC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,146) = strpad('v_K2 in component LCC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,135) = strpad('Af_Ca2 in component LCC (J_per_mol)');
LEGEND_ALGEBRAIC(:,137) = strpad('Ar_Ca2 in component LCC (J_per_mol)');
LEGEND_ALGEBRAIC(:,123) = strpad('Af_K1 in component LCC (J_per_mol)');
LEGEND_ALGEBRAIC(:,125) = strpad('Ar_K1 in component LCC (J_per_mol)');
LEGEND_ALGEBRAIC(:,139) = strpad('Af_K2 in component LCC (J_per_mol)');
LEGEND_ALGEBRAIC(:,141) = strpad('Ar_K2 in component LCC (J_per_mol)');
LEGEND_ALGEBRAIC(:,150) = strpad('v_fCa00 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,152) = strpad('v_fCa01 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,154) = strpad('v_fCa02 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,156) = strpad('v_fCa10 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,158) = strpad('v_fCa11 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,160) = strpad('v_fCa12 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,216) = strpad('v_gate in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,45) = strpad('v_pulse in component LCC (fmol_per_sec)');
LEGEND_STATES(:,33) = strpad('q_S000 in component LCC_gate (fmol)');
LEGEND_STATES(:,34) = strpad('q_S010 in component LCC_gate (fmol)');
LEGEND_STATES(:,35) = strpad('q_S020 in component LCC_gate (fmol)');
LEGEND_STATES(:,36) = strpad('q_S100 in component LCC_gate (fmol)');
LEGEND_STATES(:,37) = strpad('q_S110 in component LCC_gate (fmol)');
LEGEND_STATES(:,38) = strpad('q_S120 in component LCC_gate (fmol)');
LEGEND_STATES(:,39) = strpad('q_S001 in component LCC_gate (fmol)');
LEGEND_STATES(:,40) = strpad('q_S011 in component LCC_gate (fmol)');
LEGEND_STATES(:,41) = strpad('q_S021 in component LCC_gate (fmol)');
LEGEND_STATES(:,42) = strpad('q_S101 in component LCC_gate (fmol)');
LEGEND_STATES(:,43) = strpad('q_S111 in component LCC_gate (fmol)');
LEGEND_STATES(:,44) = strpad('q_S121 in component LCC_gate (fmol)');
LEGEND_ALGEBRAIC(:,88) = strpad('mu_S000 in component LCC_gate (J_per_mol)');
LEGEND_ALGEBRAIC(:,97) = strpad('mu_S010 in component LCC_gate (J_per_mol)');
LEGEND_ALGEBRAIC(:,105) = strpad('mu_S020 in component LCC_gate (J_per_mol)');
LEGEND_ALGEBRAIC(:,111) = strpad('mu_S100 in component LCC_gate (J_per_mol)');
LEGEND_ALGEBRAIC(:,115) = strpad('mu_S110 in component LCC_gate (J_per_mol)');
LEGEND_ALGEBRAIC(:,131) = strpad('mu_S120 in component LCC_gate (J_per_mol)');
LEGEND_ALGEBRAIC(:,93) = strpad('mu_S001 in component LCC_gate (J_per_mol)');
LEGEND_ALGEBRAIC(:,101) = strpad('mu_S011 in component LCC_gate (J_per_mol)');
LEGEND_ALGEBRAIC(:,109) = strpad('mu_S021 in component LCC_gate (J_per_mol)');
LEGEND_ALGEBRAIC(:,113) = strpad('mu_S101 in component LCC_gate (J_per_mol)');
LEGEND_ALGEBRAIC(:,187) = strpad('v_f1_000 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,190) = strpad('v_f2_000 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,194) = strpad('v_f3_010 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,196) = strpad('v_f1_100 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,198) = strpad('v_f2_100 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,200) = strpad('v_f3_110 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,164) = strpad('v_d000 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,169) = strpad('v_d010 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,172) = strpad('v_d020 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,175) = strpad('v_d001 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,179) = strpad('v_d011 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,183) = strpad('v_d021 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,202) = strpad('v_f1_001 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,205) = strpad('v_f2_001 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,206) = strpad('v_f3_011 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,208) = strpad('v_f1_101 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,210) = strpad('v_f2_101 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,212) = strpad('v_f3_111 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,195) = strpad('v_S000 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,199) = strpad('v_S010 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,197) = strpad('v_S020 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,201) = strpad('v_S100 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,203) = strpad('v_S110 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,204) = strpad('v_S120 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,207) = strpad('v_S001 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,211) = strpad('v_S011 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,209) = strpad('v_S021 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,213) = strpad('v_S101 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,214) = strpad('v_S111 in component LCC_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,215) = strpad('v_S121 in component LCC_gate (fmol_per_sec)');
LEGEND_CONSTANTS(:,156) = strpad('z_rCa in component LCC_gate (dimensionless)');
LEGEND_CONSTANTS(:,157) = strpad('z_fd in component LCC_gate (dimensionless)');
LEGEND_CONSTANTS(:,158) = strpad('z_ff1 in component LCC_gate (dimensionless)');
LEGEND_CONSTANTS(:,159) = strpad('z_ff2 in component LCC_gate (dimensionless)');
LEGEND_CONSTANTS(:,160) = strpad('z_ff3 in component LCC_gate (dimensionless)');
LEGEND_CONSTANTS(:,161) = strpad('z_rd in component LCC_gate (dimensionless)');
LEGEND_CONSTANTS(:,162) = strpad('z_rf1 in component LCC_gate (dimensionless)');
LEGEND_CONSTANTS(:,163) = strpad('z_rf2 in component LCC_gate (dimensionless)');
LEGEND_CONSTANTS(:,164) = strpad('z_rf3 in component LCC_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,89) = strpad('vPLBph1 in component PLB (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,94) = strpad('vPLBph2 in component PLB (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,98) = strpad('vPLBd1 in component PLB (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,102) = strpad('vPLBd2 in component PLB (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,106) = strpad('vInh in component PLB (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,46) = strpad('mu_PLB in component PLB (J_per_mol)');
LEGEND_ALGEBRAIC(:,51) = strpad('mu_PKACI in component PLB (J_per_mol)');
LEGEND_ALGEBRAIC(:,57) = strpad('mu_PLB_PKACI in component PLB (J_per_mol)');
LEGEND_ALGEBRAIC(:,61) = strpad('mu_PP1 in component PLB (J_per_mol)');
LEGEND_ALGEBRAIC(:,66) = strpad('mu_PLBp_PP1 in component PLB (J_per_mol)');
LEGEND_ALGEBRAIC(:,71) = strpad('mu_PLBp in component PLB (J_per_mol)');
LEGEND_ALGEBRAIC(:,79) = strpad('mu_Ip in component PLB (J_per_mol)');
LEGEND_ALGEBRAIC(:,84) = strpad('mu_Ip_PP1 in component PLB (J_per_mol)');
LEGEND_CONSTANTS(:,165) = strpad('nCa_1 in component RyR (dimensionless)');
LEGEND_CONSTANTS(:,166) = strpad('nCa_2 in component RyR (dimensionless)');
LEGEND_ALGEBRAIC(:,218) = strpad('mu_Ca_SR in component RyR (J_per_mol)');
LEGEND_ALGEBRAIC(:,219) = strpad('mu_Cai in component RyR (J_per_mol)');
LEGEND_ALGEBRAIC(:,231) = strpad('v_gate_Cai in component RyR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,223) = strpad('mu_O_RyR in component RyR_gate (J_per_mol)');
LEGEND_ALGEBRAIC(:,226) = strpad('v_OC in component RyR_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,228) = strpad('v_CCI in component RyR_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,229) = strpad('v_CII in component RyR_gate (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,230) = strpad('v_IO in component RyR_gate (fmol_per_sec)');
LEGEND_STATES(:,45) = strpad('q_C_RyR in component RyR_gate (fmol)');
LEGEND_STATES(:,46) = strpad('q_CI_RyR in component RyR_gate (fmol)');
LEGEND_STATES(:,47) = strpad('q_I_RyR in component RyR_gate (fmol)');
LEGEND_STATES(:,48) = strpad('q_O_RyR in component RyR_gate (fmol)');
LEGEND_ALGEBRAIC(:,220) = strpad('mu_C_RyR in component RyR_gate (J_per_mol)');
LEGEND_ALGEBRAIC(:,221) = strpad('mu_CI_RyR in component RyR_gate (J_per_mol)');
LEGEND_ALGEBRAIC(:,222) = strpad('mu_I_RyR in component RyR_gate (J_per_mol)');
LEGEND_CONSTANTS(:,167) = strpad('n_Cai in component SERCA (dimensionless)');
LEGEND_CONSTANTS(:,168) = strpad('n_Ca_SR in component SERCA (dimensionless)');
LEGEND_CONSTANTS(:,169) = strpad('n_H in component SERCA (dimensionless)');
LEGEND_STATES(:,49) = strpad('q_P1_SERCA in component SERCA (fmol)');
LEGEND_STATES(:,50) = strpad('q_P2_SERCA in component SERCA (fmol)');
LEGEND_STATES(:,51) = strpad('q_P2a_SERCA in component SERCA (fmol)');
LEGEND_STATES(:,52) = strpad('q_P4_SERCA in component SERCA (fmol)');
LEGEND_STATES(:,53) = strpad('q_P5_SERCA in component SERCA (fmol)');
LEGEND_STATES(:,54) = strpad('q_P10_SERCA in component SERCA (fmol)');
LEGEND_STATES(:,55) = strpad('q_P6_SERCA in component SERCA (fmol)');
LEGEND_STATES(:,56) = strpad('q_P8_SERCA in component SERCA (fmol)');
LEGEND_STATES(:,57) = strpad('q_P9_SERCA in component SERCA (fmol)');
LEGEND_ALGEBRAIC(:,5) = strpad('c_Cai in component SERCA (mM)');
LEGEND_ALGEBRAIC(:,6) = strpad('c_Ca_SR in component SERCA (mM)');
LEGEND_ALGEBRAIC(:,7) = strpad('c_H in component SERCA (mM)');
LEGEND_ALGEBRAIC(:,8) = strpad('c_MgADP in component SERCA (mM)');
LEGEND_ALGEBRAIC(:,9) = strpad('c_MgATP in component SERCA (mM)');
LEGEND_ALGEBRAIC(:,10) = strpad('c_P in component SERCA (mM)');
LEGEND_CONSTANTS(:,170) = strpad('vol_i in component SERCA (pL)');
LEGEND_CONSTANTS(:,175) = strpad('vol_sr in component SERCA (pL)');
LEGEND_CONSTANTS(:,179) = strpad('vol_isr in component SERCA (pL)');
LEGEND_ALGEBRAIC(:,62) = strpad('mu_Cai in component SERCA (J_per_mol)');
LEGEND_ALGEBRAIC(:,176) = strpad('v_Cai in component SERCA (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,67) = strpad('mu_Ca_SR in component SERCA (J_per_mol)');
LEGEND_ALGEBRAIC(:,184) = strpad('v_Ca_SR in component SERCA (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,72) = strpad('mu_H in component SERCA (J_per_mol)');
LEGEND_ALGEBRAIC(:,191) = strpad('v_H in component SERCA (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,80) = strpad('mu_MgADP in component SERCA (J_per_mol)');
LEGEND_ALGEBRAIC(:,170) = strpad('v_MgADP in component SERCA (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,85) = strpad('mu_MgATP in component SERCA (J_per_mol)');
LEGEND_ALGEBRAIC(:,165) = strpad('v_MgATP in component SERCA (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,95) = strpad('mu_P1 in component SERCA (J_per_mol)');
LEGEND_ALGEBRAIC(:,166) = strpad('v_P1 in component SERCA (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,90) = strpad('mu_P in component SERCA (J_per_mol)');
LEGEND_ALGEBRAIC(:,161) = strpad('v_P in component SERCA (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,99) = strpad('mu_P2 in component SERCA (J_per_mol)');
LEGEND_ALGEBRAIC(:,177) = strpad('v_P2 in component SERCA (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,103) = strpad('mu_P2a in component SERCA (J_per_mol)');
LEGEND_ALGEBRAIC(:,173) = strpad('v_P2a in component SERCA (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,107) = strpad('mu_P4 in component SERCA (J_per_mol)');
LEGEND_ALGEBRAIC(:,180) = strpad('v_P4 in component SERCA (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,110) = strpad('mu_P5 in component SERCA (J_per_mol)');
LEGEND_ALGEBRAIC(:,181) = strpad('v_P5 in component SERCA (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,114) = strpad('mu_P6 in component SERCA (J_per_mol)');
LEGEND_ALGEBRAIC(:,185) = strpad('v_P6 in component SERCA (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,116) = strpad('mu_P8 in component SERCA (J_per_mol)');
LEGEND_ALGEBRAIC(:,188) = strpad('v_P8 in component SERCA (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,118) = strpad('mu_P9 in component SERCA (J_per_mol)');
LEGEND_ALGEBRAIC(:,192) = strpad('v_P9 in component SERCA (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,112) = strpad('mu_P10 in component SERCA (J_per_mol)');
LEGEND_ALGEBRAIC(:,193) = strpad('v_P10 in component SERCA (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,124) = strpad('Af_R1_2 in component SERCA (J_per_mol)');
LEGEND_ALGEBRAIC(:,126) = strpad('Ar_R1_2 in component SERCA (J_per_mol)');
LEGEND_ALGEBRAIC(:,162) = strpad('v_SERCA_R1_2 in component SERCA (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,128) = strpad('Af_R5_6 in component SERCA (J_per_mol)');
LEGEND_ALGEBRAIC(:,130) = strpad('Ar_R5_6 in component SERCA (J_per_mol)');
LEGEND_ALGEBRAIC(:,167) = strpad('v_SERCA_R5_6 in component SERCA (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,132) = strpad('Af_R2_2a in component SERCA (J_per_mol)');
LEGEND_ALGEBRAIC(:,134) = strpad('Ar_R2_2a in component SERCA (J_per_mol)');
LEGEND_ALGEBRAIC(:,171) = strpad('v_SERCA_R2_2a in component SERCA (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,136) = strpad('Af_R2_4 in component SERCA (J_per_mol)');
LEGEND_ALGEBRAIC(:,138) = strpad('Ar_R2_4 in component SERCA (J_per_mol)');
LEGEND_ALGEBRAIC(:,174) = strpad('v_SERCA_R2_4 in component SERCA (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,140) = strpad('Af_R4_5 in component SERCA (J_per_mol)');
LEGEND_ALGEBRAIC(:,142) = strpad('Ar_R4_5 in component SERCA (J_per_mol)');
LEGEND_ALGEBRAIC(:,178) = strpad('v_SERCA_R4_5 in component SERCA (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,144) = strpad('Af_R6_8 in component SERCA (J_per_mol)');
LEGEND_ALGEBRAIC(:,147) = strpad('Ar_R6_8 in component SERCA (J_per_mol)');
LEGEND_ALGEBRAIC(:,182) = strpad('v_SERCA_R6_8 in component SERCA (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,151) = strpad('Af_R8_9 in component SERCA (J_per_mol)');
LEGEND_ALGEBRAIC(:,153) = strpad('Ar_R8_9 in component SERCA (J_per_mol)');
LEGEND_ALGEBRAIC(:,186) = strpad('v_SERCA_R8_9 in component SERCA (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,155) = strpad('Af_R9_10 in component SERCA (J_per_mol)');
LEGEND_ALGEBRAIC(:,157) = strpad('Ar_R9_10 in component SERCA (J_per_mol)');
LEGEND_ALGEBRAIC(:,189) = strpad('v_SERCA_R9_10 in component SERCA (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,120) = strpad('Af_R10_1 in component SERCA (J_per_mol)');
LEGEND_ALGEBRAIC(:,122) = strpad('Ar_R10_1 in component SERCA (J_per_mol)');
LEGEND_ALGEBRAIC(:,159) = strpad('v_SERCA_R10_1 in component SERCA (fmol_per_sec)');
LEGEND_RATES(:,1) = strpad('d/dt q_membrane in component environment (fC)');
LEGEND_RATES(:,3) = strpad('d/dt q_Cai in component crossbridge_TRPN (fmol)');
LEGEND_RATES(:,2) = strpad('d/dt q_TRPN in component crossbridge_TRPN (fmol)');
LEGEND_RATES(:,4) = strpad('d/dt q_Ca_TRPN in component crossbridge_TRPN (fmol)');
LEGEND_RATES(:,5) = strpad('d/dt q_B in component crossbridge_TRPN (fmol)');
LEGEND_RATES(:,6) = strpad('d/dt q_U in component crossbridge_TRPN (fmol)');
LEGEND_RATES(:,7) = strpad('d/dt q_W in component crossbridge_TRPN (fmol)');
LEGEND_RATES(:,8) = strpad('d/dt q_S in component crossbridge_TRPN (fmol)');
LEGEND_RATES(:,30) = strpad('d/dt G_w in component crossbridge_TRPN (metre)');
LEGEND_RATES(:,9) = strpad('d/dt SL in component crossbridge_TRPN (metre)');
LEGEND_RATES(:,31) = strpad('d/dt G_s in component crossbridge_TRPN (metre)');
LEGEND_RATES(:,32) = strpad('d/dt Cdd in component crossbridge_TRPN (metre)');
LEGEND_RATES(:,10) = strpad('d/dt q_Cai in component LCC (fmol)');
LEGEND_RATES(:,11) = strpad('d/dt q_Cao in component LCC (fmol)');
LEGEND_RATES(:,12) = strpad('d/dt q_Ki in component LCC (fmol)');
LEGEND_RATES(:,13) = strpad('d/dt q_Ko in component LCC (fmol)');
LEGEND_RATES(:,33) = strpad('d/dt q_S000 in component LCC_gate (fmol)');
LEGEND_RATES(:,39) = strpad('d/dt q_S001 in component LCC_gate (fmol)');
LEGEND_RATES(:,34) = strpad('d/dt q_S010 in component LCC_gate (fmol)');
LEGEND_RATES(:,40) = strpad('d/dt q_S011 in component LCC_gate (fmol)');
LEGEND_RATES(:,35) = strpad('d/dt q_S020 in component LCC_gate (fmol)');
LEGEND_RATES(:,41) = strpad('d/dt q_S021 in component LCC_gate (fmol)');
LEGEND_RATES(:,36) = strpad('d/dt q_S100 in component LCC_gate (fmol)');
LEGEND_RATES(:,42) = strpad('d/dt q_S101 in component LCC_gate (fmol)');
LEGEND_RATES(:,37) = strpad('d/dt q_S110 in component LCC_gate (fmol)');
LEGEND_RATES(:,43) = strpad('d/dt q_S111 in component LCC_gate (fmol)');
LEGEND_RATES(:,38) = strpad('d/dt q_S120 in component LCC_gate (fmol)');
LEGEND_RATES(:,44) = strpad('d/dt q_S121 in component LCC_gate (fmol)');
LEGEND_RATES(:,14) = strpad('d/dt q_PLB in component PLB (fmol)');
LEGEND_RATES(:,15) = strpad('d/dt q_PKACI in component PLB (fmol)');
LEGEND_RATES(:,16) = strpad('d/dt q_PLB_PKACI in component PLB (fmol)');
LEGEND_RATES(:,17) = strpad('d/dt q_PP1 in component PLB (fmol)');
LEGEND_RATES(:,18) = strpad('d/dt q_PLBp_PP1 in component PLB (fmol)');
LEGEND_RATES(:,19) = strpad('d/dt q_PLBp in component PLB (fmol)');
LEGEND_RATES(:,20) = strpad('d/dt q_Ip in component PLB (fmol)');
LEGEND_RATES(:,21) = strpad('d/dt q_Ip_PP1 in component PLB (fmol)');
LEGEND_RATES(:,22) = strpad('d/dt q_Ca_SR in component RyR (fmol)');
LEGEND_RATES(:,23) = strpad('d/dt q_Cai in component RyR (fmol)');
LEGEND_RATES(:,48) = strpad('d/dt q_O_RyR in component RyR_gate (fmol)');
LEGEND_RATES(:,45) = strpad('d/dt q_C_RyR in component RyR_gate (fmol)');
LEGEND_RATES(:,46) = strpad('d/dt q_CI_RyR in component RyR_gate (fmol)');
LEGEND_RATES(:,47) = strpad('d/dt q_I_RyR in component RyR_gate (fmol)');
LEGEND_RATES(:,25) = strpad('d/dt q_Cai in component SERCA (fmol)');
LEGEND_RATES(:,26) = strpad('d/dt q_Ca_SR in component SERCA (fmol)');
LEGEND_RATES(:,24) = strpad('d/dt q_H in component SERCA (fmol)');
LEGEND_RATES(:,28) = strpad('d/dt q_MgADP in component SERCA (fmol)');
LEGEND_RATES(:,27) = strpad('d/dt q_MgATP in component SERCA (fmol)');
LEGEND_RATES(:,29) = strpad('d/dt q_P in component SERCA (fmol)');
LEGEND_RATES(:,49) = strpad('d/dt q_P1_SERCA in component SERCA (fmol)');
LEGEND_RATES(:,50) = strpad('d/dt q_P2_SERCA in component SERCA (fmol)');
LEGEND_RATES(:,51) = strpad('d/dt q_P2a_SERCA in component SERCA (fmol)');
LEGEND_RATES(:,52) = strpad('d/dt q_P4_SERCA in component SERCA (fmol)');
LEGEND_RATES(:,53) = strpad('d/dt q_P5_SERCA in component SERCA (fmol)');
LEGEND_RATES(:,54) = strpad('d/dt q_P10_SERCA in component SERCA (fmol)');
LEGEND_RATES(:,55) = strpad('d/dt q_P6_SERCA in component SERCA (fmol)');
LEGEND_RATES(:,56) = strpad('d/dt q_P8_SERCA in component SERCA (fmol)');
LEGEND_RATES(:,57) = strpad('d/dt q_P9_SERCA in component SERCA (fmol)');
LEGEND_STATES = LEGEND_STATES';
LEGEND_ALGEBRAIC = LEGEND_ALGEBRAIC';
LEGEND_RATES = LEGEND_RATES';
LEGEND_CONSTANTS = LEGEND_CONSTANTS';
end
function [STATES, CONSTANTS] = initConsts()
VOI = 0; CONSTANTS = []; STATES = []; ALGEBRAIC = [];
CONSTANTS(:,1) = 114.037;
CONSTANTS(:,2) = 6.18867;
CONSTANTS(:,3) = 0.298505;
CONSTANTS(:,4) = 0.00702365;
CONSTANTS(:,5) = 126426;
CONSTANTS(:,6) = 8.20611;
CONSTANTS(:,7) = 15.3452;
CONSTANTS(:,8) = 0.0925573;
CONSTANTS(:,9) = 0.17308;
CONSTANTS(:,10) = 956.69;
CONSTANTS(:,11) = 23.603;
CONSTANTS(:,12) = 44.137;
CONSTANTS(:,13) = 0.174044;
CONSTANTS(:,14) = 0.00429394;
CONSTANTS(:,15) = 0.00802955;
CONSTANTS(:,16) = 1.76246;
CONSTANTS(:,17) = 8.75195;
CONSTANTS(:,18) = 0.000320633;
CONSTANTS(:,19) = 0.00159218;
CONSTANTS(:,20) = 3.22785;
CONSTANTS(:,21) = 16.0287;
CONSTANTS(:,22) = 0.000587221;
CONSTANTS(:,23) = 0.00291599;
CONSTANTS(:,24) = 9067.48;
CONSTANTS(:,25) = 45026.8;
CONSTANTS(:,26) = 1.64958;
CONSTANTS(:,27) = 8.19142;
CONSTANTS(:,28) = 59592.5;
CONSTANTS(:,29) = 295921;
CONSTANTS(:,30) = 1470.24;
CONSTANTS(:,31) = 7300.85;
CONSTANTS(:,32) = 2749.31;
CONSTANTS(:,33) = 13652.4;
CONSTANTS(:,34) = 45.5263;
CONSTANTS(:,35) = 6.55904;
CONSTANTS(:,36) = 0.386674;
CONSTANTS(:,37) = 1.21269;
CONSTANTS(:,38) = 431.435;
CONSTANTS(:,39) = 3.53995e+06;
CONSTANTS(:,40) = 8.83262;
CONSTANTS(:,41) = 0.12618;
CONSTANTS(:,42) = 883.262;
CONSTANTS(:,43) = 73.6052;
CONSTANTS(:,44) = 2.27229e-05;
CONSTANTS(:,45) = 106884;
CONSTANTS(:,46) = 2.78115e+06;
CONSTANTS(:,47) = 106884;
CONSTANTS(:,48) = 3440.8;
CONSTANTS(:,49) = 3.04364e+06;
CONSTANTS(:,50) = 1.03099e+07;
CONSTANTS(:,51) = 1.03099e+07;
CONSTANTS(:,52) = 0.00568924;
CONSTANTS(:,53) = 14.0366;
CONSTANTS(:,54) = 0.0527926;
CONSTANTS(:,55) = 0.0509829;
CONSTANTS(:,56) = 6.75199;
CONSTANTS(:,57) = 2.532;
CONSTANTS(:,58) = 16.5554;
CONSTANTS(:,59) = 4.13884e-06;
CONSTANTS(:,60) = 0.0527926;
CONSTANTS(:,61) = 0.00367934;
CONSTANTS(:,62) = 0.00367934;
CONSTANTS(:,63) = 0.0147906;
CONSTANTS(:,64) = 0.599501;
CONSTANTS(:,65) = 0.320594;
CONSTANTS(:,66) = 0.00297853;
CONSTANTS(:,67) = 0.120727;
CONSTANTS(:,68) = 0.064561;
CONSTANTS(:,69) = 81.3015;
CONSTANTS(:,70) = 3295.35;
CONSTANTS(:,71) = 1762.25;
CONSTANTS(:,72) = 16.3725;
CONSTANTS(:,73) = 663.616;
CONSTANTS(:,74) = 354.881;
CONSTANTS(:,75) = 0.00235741;
CONSTANTS(:,76) = 0.395191;
CONSTANTS(:,77) = 0.638527;
CONSTANTS(:,78) = 0.361989;
CONSTANTS(:,79) = 0.203757;
CONSTANTS(:,80) = 0.326014;
CONSTANTS(:,81) = 5.41093;
CONSTANTS(:,82) = 0.0673793;
CONSTANTS(:,83) = 0.0527926;
CONSTANTS(:,84) = 115.191;
CONSTANTS(:,85) = 1.15191;
CONSTANTS(:,86) = 0.00197471;
CONSTANTS(:,87) = 0.197471;
CONSTANTS(:,88) = 901.774;
CONSTANTS(:,89) = 2579.2;
CONSTANTS(:,90) = 270.718;
CONSTANTS(:,91) = 7044.18;
CONSTANTS(:,92) = 0.0214593;
CONSTANTS(:,93) = 1241.21;
CONSTANTS(:,94) = 75.0041;
CONSTANTS(:,95) = 73.0274;
CONSTANTS(:,96) = 104.747;
CONSTANTS(:,97) = 279.929;
CONSTANTS(:,98) = 1068.12;
CONSTANTS(:,99) = 1.32969e-05;
CONSTANTS(:,100) = 0.0245424;
CONSTANTS(:,101) = 34.4;
CONSTANTS(:,102) = 500;
CONSTANTS(:,103) = 1.381e5;
CONSTANTS(:,104) = 96485;
STATES(:,1) = -13039;
CONSTANTS(:,105) = 2.57;
CONSTANTS(:,106) = 1e-18;
CONSTANTS(:,107) = 6.82e-3;
CONSTANTS(:,108) = 1;
CONSTANTS(:,109) = 0;
CONSTANTS(:,110) = 0;
CONSTANTS(:,111) = 0;
CONSTANTS(:,112) = 6.84;
CONSTANTS(:,113) = 5.51E+03;
CONSTANTS(:,114) = 2.05E+02;
CONSTANTS(:,115) = 4.028E+00;
CONSTANTS(:,116) = 2.234E-03;
CONSTANTS(:,117) = 1e-18;
CONSTANTS(:,118) = 3.382E-02;
CONSTANTS(:,119) = 1e-18;
CONSTANTS(:,120) = 1e-18;
CONSTANTS(:,121) = 1.999E-03;
CONSTANTS(:,122) = 1e-18;
CONSTANTS(:,123) = 0.641;
CONSTANTS(:,124) = 0.004028;
CONSTANTS(:,125) = 570;
CONSTANTS(:,126) = 1.3794;
CONSTANTS(:,127) = 3.8;
STATES(:,2) = 1e-16;
STATES(:,3) = 1e-16;
STATES(:,4) = 1e-16;
STATES(:,5) = 1e-16;
STATES(:,6) = 1e-16;
STATES(:,7) = 1e-16;
STATES(:,8) = 1e-16;
STATES(:,9) = 1e-6;
STATES(:,10) = 1e-16;
STATES(:,11) = 1e-16;
STATES(:,12) = 1e-16;
STATES(:,13) = 1e-16;
STATES(:,14) = 1e-16;
STATES(:,15) = 1e-16;
STATES(:,16) = 1e-16;
STATES(:,17) = 1e-16;
STATES(:,18) = 1e-16;
STATES(:,19) = 1e-16;
STATES(:,20) = 1e-16;
STATES(:,21) = 1e-16;
STATES(:,22) = 1e-16;
STATES(:,23) = 1e-16;
STATES(:,24) = 1e-16;
STATES(:,25) = 1e-16;
STATES(:,26) = 1e-16;
STATES(:,27) = 1e-16;
STATES(:,28) = 1e-16;
STATES(:,29) = 1e-16;
CONSTANTS(:,128) = 4e-2;
CONSTANTS(:,129) = 4.1e-2;
CONSTANTS(:,130) = 1e8;
CONSTANTS(:,131) = 0;
CONSTANTS(:,132) = 2;
CONSTANTS(:,133) = 1;
CONSTANTS(:,134) = 8.31;
CONSTANTS(:,135) = 310;
CONSTANTS(:,136) = 1;
CONSTANTS(:,137) = -1;
CONSTANTS(:,138) = 1.1;
CONSTANTS(:,139) = -0.0118;
CONSTANTS(:,140) = 1;
CONSTANTS(:,141) = 2e-6;
CONSTANTS(:,142) = 1e-6;
CONSTANTS(:,143) = 0.25;
CONSTANTS(:,144) = 0.5;
CONSTANTS(:,145) = 25;
CONSTANTS(:,146) = 2.23;
CONSTANTS(:,147) = 26;
CONSTANTS(:,148) = 4;
STATES(:,30) = 1e-6;
STATES(:,31) = 1e-6;
CONSTANTS(:,149) = 0;
CONSTANTS(:,150) = 1;
CONSTANTS(:,151) = 40.5;
STATES(:,32) = 0;
CONSTANTS(:,152) = 200e3;
CONSTANTS(:,153) = 200e3;
CONSTANTS(:,154) = 7;
CONSTANTS(:,155) = 2.1;
STATES(:,33) = 3.6989e-07;
STATES(:,34) = 7.3239e-05;
STATES(:,35) = 3.6989e-07;
STATES(:,36) = 3.7363e-09;
STATES(:,37) = 7.3979e-07;
STATES(:,38) = 3.7363e-09;
STATES(:,39) = 4.1099e-08;
STATES(:,40) = 8.1377e-06;
STATES(:,41) = 4.1099e-08;
STATES(:,42) = 4.1514e-10;
STATES(:,43) = 8.2199e-08;
STATES(:,44) = 4.1514e-10;
CONSTANTS(:,156) = 2;
CONSTANTS(:,157) = 2.1404;
CONSTANTS(:,158) = -1.1495;
CONSTANTS(:,159) = 0.72162;
CONSTANTS(:,160) = 4.2933;
CONSTANTS(:,161) = -2.1404;
CONSTANTS(:,162) = 1.8993;
CONSTANTS(:,163) = -0.52288;
CONSTANTS(:,164) = 0;
CONSTANTS(:,165) = 1;
CONSTANTS(:,166) = 2;
STATES(:,45) = 0.25e-3;
STATES(:,46) = 0.25e-3;
STATES(:,47) = 0.25e-3;
STATES(:,48) = 0.25e-3;
CONSTANTS(:,167) = 2;
CONSTANTS(:,168) = 2;
CONSTANTS(:,169) = 2;
STATES(:,49) = 0.11111;
STATES(:,50) = 0.11111;
STATES(:,51) = 0.11111;
STATES(:,52) = 0.11111;
STATES(:,53) = 0.11111;
STATES(:,54) = 0.11111;
STATES(:,55) = 0.11111;
STATES(:,56) = 0.11111;
STATES(:,57) = 0.11111;
CONSTANTS(:,170) = 34.0;
CONSTANTS(:,171) = ( CONSTANTS(:,146).*CONSTANTS(:,147).*(1.00000 - CONSTANTS(:,144)))./CONSTANTS(:,144);
CONSTANTS(:,172) = ( CONSTANTS(:,146).*CONSTANTS(:,148).*(1.00000 - CONSTANTS(:,143)).*CONSTANTS(:,144))./CONSTANTS(:,143);
CONSTANTS(:,173) = ( CONSTANTS(:,145).*CONSTANTS(:,143))./( (1.00000 - CONSTANTS(:,143)).*CONSTANTS(:,144)+CONSTANTS(:,143));
CONSTANTS(:,174) = CONSTANTS(:,139).*CONSTANTS(:,134).*CONSTANTS(:,135);
CONSTANTS(:,175) = CONSTANTS(:,170).*0.0350000;
% CONSTANTS(:,180) = CONSTANTS(:,149);
CONSTANTS(:,176) = CONSTANTS(:,173);
CONSTANTS(:,177) = - CONSTANTS(:,173).*CONSTANTS(:,149).*CONSTANTS(:,150);
CONSTANTS(:,178) = CONSTANTS(:,134).*CONSTANTS(:,135);
CONSTANTS(:,179) = CONSTANTS(:,170)+CONSTANTS(:,175);
CONSTANTS(:,180) = - CONSTANTS(:,176).*CONSTANTS(:,149).*CONSTANTS(:,150);
if (isempty(STATES)), warning('Initial values for states not set');, end
end
function [RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS)
disp(VOI)
global algebraicVariableCount;
statesSize = size(STATES);
statesColumnCount = statesSize(2);
if ( statesColumnCount == 1)
STATES = STATES';
ALGEBRAIC = zeros(1, algebraicVariableCount);
utilOnes = 1;
else
statesRowCount = statesSize(1);
ALGEBRAIC = zeros(statesRowCount, algebraicVariableCount);
RATES = zeros(statesRowCount, statesColumnCount);
utilOnes = ones(statesRowCount, 1);
end
RATES(:,9) = CONSTANTS(:,149);
ALGEBRAIC(:,2) = CONSTANTS(:,171).*STATES(:,30).*CONSTANTS(:,150);
ALGEBRAIC(:,12) = - CONSTANTS(:,177) - ALGEBRAIC(:,2);
ALGEBRAIC(:,16) = ALGEBRAIC(:,12)./CONSTANTS(:,150);
RATES(:,30) = ALGEBRAIC(:,16);
ALGEBRAIC(:,3) = CONSTANTS(:,172).*STATES(:,31).*CONSTANTS(:,150);
ALGEBRAIC(:,13) = - CONSTANTS(:,180) - ALGEBRAIC(:,3);
ALGEBRAIC(:,17) = ALGEBRAIC(:,13)./CONSTANTS(:,150);
RATES(:,31) = ALGEBRAIC(:,17);
ALGEBRAIC(:,18) = CONSTANTS(:,106)+STATES(:,4);
ALGEBRAIC(:,49) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,55).*ALGEBRAIC(:,18));
ALGEBRAIC(:,22) = CONSTANTS(:,108)+STATES(:,5);
ALGEBRAIC(:,54) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,56).*ALGEBRAIC(:,22));
ALGEBRAIC(:,25) = CONSTANTS(:,109)+STATES(:,6);
ALGEBRAIC(:,58) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,57).*ALGEBRAIC(:,25));
ALGEBRAIC(:,73) = CONSTANTS(:,2).*(exp((ALGEBRAIC(:,54)+ CONSTANTS(:,138).*ALGEBRAIC(:,49))./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp((ALGEBRAIC(:,58)+ CONSTANTS(:,138).*ALGEBRAIC(:,49))./( CONSTANTS(:,134).*CONSTANTS(:,135))));
RATES(:,5) = - ALGEBRAIC(:,73);
[CONSTANTS, STATES, ALGEBRAIC] = rootfind_0(VOI, CONSTANTS, STATES, ALGEBRAIC);
ALGEBRAIC(:,81) = ALGEBRAIC(:,75)./CONSTANTS(:,150);
RATES(:,32) = ALGEBRAIC(:,81);
ALGEBRAIC(:,29) = CONSTANTS(:,110)+STATES(:,7);
ALGEBRAIC(:,63) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,58).*ALGEBRAIC(:,29));
ALGEBRAIC(:,82) = CONSTANTS(:,3).*(exp(ALGEBRAIC(:,58)./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,63)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,34) = CONSTANTS(:,111)+STATES(:,8);
ALGEBRAIC(:,68) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,59).*ALGEBRAIC(:,34));
ALGEBRAIC(:,87) = CONSTANTS(:,4).*(exp(ALGEBRAIC(:,63)./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,68)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
RATES(:,7) = ALGEBRAIC(:,82) - ALGEBRAIC(:,87);
ALGEBRAIC(:,92) = CONSTANTS(:,5).*(exp(ALGEBRAIC(:,68)./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,58)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
RATES(:,6) = (ALGEBRAIC(:,73) - ALGEBRAIC(:,82))+ALGEBRAIC(:,92);
RATES(:,8) = ALGEBRAIC(:,87) - ALGEBRAIC(:,92);
ALGEBRAIC(:,1) = CONSTANTS(:,115)+STATES(:,14);
ALGEBRAIC(:,46) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,75).*ALGEBRAIC(:,1));
ALGEBRAIC(:,11) = CONSTANTS(:,116)+STATES(:,15);
ALGEBRAIC(:,51) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,76).*ALGEBRAIC(:,11));
ALGEBRAIC(:,15) = CONSTANTS(:,117)+STATES(:,16);
ALGEBRAIC(:,57) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,77).*ALGEBRAIC(:,15));
ALGEBRAIC(:,89) = CONSTANTS(:,34).*(exp((ALGEBRAIC(:,46)+ALGEBRAIC(:,51))./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,57)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,26) = CONSTANTS(:,120)+STATES(:,19);
ALGEBRAIC(:,71) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,80).*ALGEBRAIC(:,26));
ALGEBRAIC(:,94) = CONSTANTS(:,35).*(exp(ALGEBRAIC(:,57)./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp((ALGEBRAIC(:,71)+ALGEBRAIC(:,51))./( CONSTANTS(:,134).*CONSTANTS(:,135))));
RATES(:,15) = ALGEBRAIC(:,94) - ALGEBRAIC(:,89);
RATES(:,16) = ALGEBRAIC(:,89) - ALGEBRAIC(:,94);
ALGEBRAIC(:,19) = CONSTANTS(:,118)+STATES(:,17);
ALGEBRAIC(:,61) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,78).*ALGEBRAIC(:,19));
ALGEBRAIC(:,23) = CONSTANTS(:,119)+STATES(:,18);
ALGEBRAIC(:,66) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,79).*ALGEBRAIC(:,23));
ALGEBRAIC(:,98) = CONSTANTS(:,36).*(exp((ALGEBRAIC(:,71)+ALGEBRAIC(:,61))./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,66)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
RATES(:,19) = ALGEBRAIC(:,94) - ALGEBRAIC(:,98);
ALGEBRAIC(:,102) = CONSTANTS(:,37).*(exp(ALGEBRAIC(:,66)./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp((ALGEBRAIC(:,46)+ALGEBRAIC(:,61))./( CONSTANTS(:,134).*CONSTANTS(:,135))));
RATES(:,14) = ALGEBRAIC(:,102) - ALGEBRAIC(:,89);
RATES(:,18) = ALGEBRAIC(:,98) - ALGEBRAIC(:,102);
ALGEBRAIC(:,30) = CONSTANTS(:,121)+STATES(:,20);
ALGEBRAIC(:,79) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,81).*ALGEBRAIC(:,30));
ALGEBRAIC(:,35) = CONSTANTS(:,122)+STATES(:,21);
ALGEBRAIC(:,84) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,82).*ALGEBRAIC(:,35));
ALGEBRAIC(:,106) = CONSTANTS(:,38).*(exp((ALGEBRAIC(:,61)+ALGEBRAIC(:,79))./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,84)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
RATES(:,17) = (ALGEBRAIC(:,102) - ALGEBRAIC(:,98)) - ALGEBRAIC(:,106);
RATES(:,20) = - ALGEBRAIC(:,106);
RATES(:,21) = ALGEBRAIC(:,106);
ALGEBRAIC(:,4) = CONSTANTS(:,105)+STATES(:,2);
ALGEBRAIC(:,38) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,53).*ALGEBRAIC(:,4));
ALGEBRAIC(:,14) = CONSTANTS(:,107)+STATES(:,3)+STATES(:,10)+STATES(:,23)+STATES(:,25);
ALGEBRAIC(:,43) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,54).*ALGEBRAIC(:,14));
ALGEBRAIC(:,55) = (CONSTANTS(:,151)./( CONSTANTS(:,141).*CONSTANTS(:,142).*CONSTANTS(:,143))).*STATES(:,8).*(STATES(:,31)+CONSTANTS(:,141));
ALGEBRAIC(:,59) = (CONSTANTS(:,151)./( CONSTANTS(:,141).*CONSTANTS(:,142).*CONSTANTS(:,143))).*STATES(:,7).*STATES(:,30);
ALGEBRAIC(:,64) = ALGEBRAIC(:,55)+ALGEBRAIC(:,59);
ALGEBRAIC(:,69) = ALGEBRAIC(:,64);
ALGEBRAIC(:,86) = (( CONSTANTS(:,155).*ALGEBRAIC(:,74))./CONSTANTS(:,141)).*ALGEBRAIC(:,81);
ALGEBRAIC(:,91) = ALGEBRAIC(:,86);
ALGEBRAIC(:,96) = ALGEBRAIC(:,69)+ALGEBRAIC(:,91);
ALGEBRAIC(:,100) = ALGEBRAIC(:,96).*1000.00;
ALGEBRAIC(:,104) = CONSTANTS(:,140).*CONSTANTS(:,174).*ALGEBRAIC(:,100);
ALGEBRAIC(:,108) = CONSTANTS(:,1).*(exp((ALGEBRAIC(:,43)+ALGEBRAIC(:,38))./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp((ALGEBRAIC(:,49)+ALGEBRAIC(:,104))./( CONSTANTS(:,134).*CONSTANTS(:,135))));
RATES(:,3) = - ALGEBRAIC(:,108);
RATES(:,2) = - ALGEBRAIC(:,108);
RATES(:,4) = ALGEBRAIC(:,108);
ALGEBRAIC(:,50) = STATES(:,1)./CONSTANTS(:,103);
ALGEBRAIC(:,78) = CONSTANTS(:,132).*CONSTANTS(:,104).*ALGEBRAIC(:,50);
ALGEBRAIC(:,56) = CONSTANTS(:,178).*log( CONSTANTS(:,54).*ALGEBRAIC(:,14));
ALGEBRAIC(:,117) = CONSTANTS(:,178).*log( CONSTANTS(:,73).*STATES(:,43));
ALGEBRAIC(:,119) = ALGEBRAIC(:,56)+ALGEBRAIC(:,78)+ALGEBRAIC(:,117);
ALGEBRAIC(:,20) = CONSTANTS(:,112)+STATES(:,11);
ALGEBRAIC(:,60) = CONSTANTS(:,178).*log( CONSTANTS(:,60).*ALGEBRAIC(:,20));
ALGEBRAIC(:,121) = ALGEBRAIC(:,60)+ALGEBRAIC(:,117);
ALGEBRAIC(:,127) = piecewise({ALGEBRAIC(:,78)==0.000000, CONSTANTS(:,6).*(exp(ALGEBRAIC(:,119)./CONSTANTS(:,178)) - exp(ALGEBRAIC(:,121)./CONSTANTS(:,178))) }, ((( CONSTANTS(:,6).*ALGEBRAIC(:,78))./CONSTANTS(:,178))./(exp(ALGEBRAIC(:,78)./CONSTANTS(:,178)) - 1.00000)).*(exp(ALGEBRAIC(:,119)./CONSTANTS(:,178)) - exp(ALGEBRAIC(:,121)./CONSTANTS(:,178))));
ALGEBRAIC(:,133) = CONSTANTS(:,178).*log( CONSTANTS(:,74).*STATES(:,44));
ALGEBRAIC(:,135) = ALGEBRAIC(:,56)+ALGEBRAIC(:,78)+ALGEBRAIC(:,133);
ALGEBRAIC(:,137) = ALGEBRAIC(:,60)+ALGEBRAIC(:,133);
ALGEBRAIC(:,143) = piecewise({ALGEBRAIC(:,78)==0.000000, CONSTANTS(:,7).*(exp(ALGEBRAIC(:,135)./CONSTANTS(:,178)) - exp(ALGEBRAIC(:,137)./CONSTANTS(:,178))) }, ((( CONSTANTS(:,7).*ALGEBRAIC(:,78))./CONSTANTS(:,178))./(exp(ALGEBRAIC(:,78)./CONSTANTS(:,178)) - 1.00000)).*(exp(ALGEBRAIC(:,135)./CONSTANTS(:,178)) - exp(ALGEBRAIC(:,137)./CONSTANTS(:,178))));
ALGEBRAIC(:,145) = ALGEBRAIC(:,143)+ALGEBRAIC(:,127);
RATES(:,11) = ALGEBRAIC(:,145);
ALGEBRAIC(:,83) = CONSTANTS(:,133).*CONSTANTS(:,104).*ALGEBRAIC(:,50);
ALGEBRAIC(:,24) = CONSTANTS(:,113)+STATES(:,12);
ALGEBRAIC(:,65) = CONSTANTS(:,178).*log( CONSTANTS(:,61).*ALGEBRAIC(:,24));
ALGEBRAIC(:,123) = ALGEBRAIC(:,65)+ALGEBRAIC(:,83)+ALGEBRAIC(:,117);
ALGEBRAIC(:,27) = CONSTANTS(:,114)+STATES(:,13);
ALGEBRAIC(:,70) = CONSTANTS(:,178).*log( CONSTANTS(:,62).*ALGEBRAIC(:,27));
ALGEBRAIC(:,125) = ALGEBRAIC(:,70)+ALGEBRAIC(:,117);
ALGEBRAIC(:,129) = piecewise({ALGEBRAIC(:,83)==0.000000, CONSTANTS(:,8).*(exp(ALGEBRAIC(:,123)./CONSTANTS(:,178)) - exp(ALGEBRAIC(:,125)./CONSTANTS(:,178))) }, ((( CONSTANTS(:,8).*ALGEBRAIC(:,83))./CONSTANTS(:,178))./(exp(ALGEBRAIC(:,83)./CONSTANTS(:,178)) - 1.00000)).*(exp(ALGEBRAIC(:,123)./CONSTANTS(:,178)) - exp(ALGEBRAIC(:,125)./CONSTANTS(:,178))));
ALGEBRAIC(:,139) = ALGEBRAIC(:,65)+ALGEBRAIC(:,83)+ALGEBRAIC(:,133);
ALGEBRAIC(:,141) = ALGEBRAIC(:,70)+ALGEBRAIC(:,133);
ALGEBRAIC(:,146) = piecewise({ALGEBRAIC(:,83)==0.000000, CONSTANTS(:,9).*(exp(ALGEBRAIC(:,139)./CONSTANTS(:,178)) - exp(ALGEBRAIC(:,141)./CONSTANTS(:,178))) }, ((( CONSTANTS(:,9).*ALGEBRAIC(:,83))./CONSTANTS(:,178))./(exp(ALGEBRAIC(:,83)./CONSTANTS(:,178)) - 1.00000)).*(exp(ALGEBRAIC(:,139)./CONSTANTS(:,178)) - exp(ALGEBRAIC(:,141)./CONSTANTS(:,178))));
ALGEBRAIC(:,148) = - ALGEBRAIC(:,129) - ALGEBRAIC(:,146);
RATES(:,12) = ALGEBRAIC(:,148);
ALGEBRAIC(:,149) = ALGEBRAIC(:,146)+ALGEBRAIC(:,129);
RATES(:,13) = ALGEBRAIC(:,149);
ALGEBRAIC(:,112) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,96).*STATES(:,54));
ALGEBRAIC(:,120) = ALGEBRAIC(:,112);
ALGEBRAIC(:,95) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,88).*STATES(:,49));
ALGEBRAIC(:,52) = CONSTANTS(:,125)+STATES(:,29);
ALGEBRAIC(:,90) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,100).*ALGEBRAIC(:,52));
ALGEBRAIC(:,122) = ALGEBRAIC(:,95)+ALGEBRAIC(:,90);
ALGEBRAIC(:,159) = CONSTANTS(:,52).*(exp(ALGEBRAIC(:,120)./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,122)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,161) = ALGEBRAIC(:,159);
RATES(:,29) = ALGEBRAIC(:,161);
ALGEBRAIC(:,40) = CONSTANTS(:,127)+STATES(:,27);
ALGEBRAIC(:,85) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,98).*ALGEBRAIC(:,40));
ALGEBRAIC(:,124) = ALGEBRAIC(:,95)+ALGEBRAIC(:,85);
ALGEBRAIC(:,99) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,89).*STATES(:,50));
ALGEBRAIC(:,126) = ALGEBRAIC(:,99);
ALGEBRAIC(:,162) = CONSTANTS(:,44).*(exp(ALGEBRAIC(:,124)./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,126)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,165) = - ALGEBRAIC(:,162);
RATES(:,27) = ALGEBRAIC(:,165);
ALGEBRAIC(:,166) = ALGEBRAIC(:,159) - ALGEBRAIC(:,162);
RATES(:,49) = ALGEBRAIC(:,166);
ALGEBRAIC(:,88) = CONSTANTS(:,178).*log( CONSTANTS(:,63).*STATES(:,33));
ALGEBRAIC(:,93) = CONSTANTS(:,178).*log( CONSTANTS(:,69).*STATES(:,39));
ALGEBRAIC(:,150) = CONSTANTS(:,28).*(exp(ALGEBRAIC(:,88)./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,93)+ CONSTANTS(:,156).*ALGEBRAIC(:,56))./CONSTANTS(:,178)));
ALGEBRAIC(:,97) = CONSTANTS(:,178).*log( CONSTANTS(:,64).*STATES(:,34));
ALGEBRAIC(:,101) = CONSTANTS(:,178).*log( CONSTANTS(:,70).*STATES(:,40));
ALGEBRAIC(:,152) = CONSTANTS(:,30).*(exp(ALGEBRAIC(:,97)./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,101)+ CONSTANTS(:,156).*ALGEBRAIC(:,56))./CONSTANTS(:,178)));
ALGEBRAIC(:,105) = CONSTANTS(:,178).*log( CONSTANTS(:,65).*STATES(:,35));
ALGEBRAIC(:,109) = CONSTANTS(:,178).*log( CONSTANTS(:,71).*STATES(:,41));
ALGEBRAIC(:,154) = CONSTANTS(:,32).*(exp(ALGEBRAIC(:,105)./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,109)+ CONSTANTS(:,156).*ALGEBRAIC(:,56))./CONSTANTS(:,178)));
ALGEBRAIC(:,111) = CONSTANTS(:,178).*log( CONSTANTS(:,66).*STATES(:,36));
ALGEBRAIC(:,113) = CONSTANTS(:,178).*log( CONSTANTS(:,72).*STATES(:,42));
ALGEBRAIC(:,156) = CONSTANTS(:,29).*(exp(ALGEBRAIC(:,111)./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,113)+ CONSTANTS(:,156).*ALGEBRAIC(:,56))./CONSTANTS(:,178)));
ALGEBRAIC(:,115) = CONSTANTS(:,178).*log( CONSTANTS(:,67).*STATES(:,37));
ALGEBRAIC(:,158) = CONSTANTS(:,31).*(exp(ALGEBRAIC(:,115)./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,117)+ CONSTANTS(:,156).*ALGEBRAIC(:,56))./CONSTANTS(:,178)));
ALGEBRAIC(:,131) = CONSTANTS(:,178).*log( CONSTANTS(:,68).*STATES(:,38));
ALGEBRAIC(:,160) = CONSTANTS(:,33).*(exp(ALGEBRAIC(:,131)./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,133)+ CONSTANTS(:,156).*ALGEBRAIC(:,56))./CONSTANTS(:,178)));
ALGEBRAIC(:,163) = CONSTANTS(:,132).*(ALGEBRAIC(:,156)+ALGEBRAIC(:,158)+ALGEBRAIC(:,154)+ALGEBRAIC(:,152)+ALGEBRAIC(:,150)+ALGEBRAIC(:,160));
ALGEBRAIC(:,168) = (ALGEBRAIC(:,163) - ALGEBRAIC(:,127)) - ALGEBRAIC(:,143);
RATES(:,10) = ALGEBRAIC(:,168);
ALGEBRAIC(:,110) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,92).*STATES(:,53));
ALGEBRAIC(:,128) = ALGEBRAIC(:,110);
ALGEBRAIC(:,47) = CONSTANTS(:,126)+STATES(:,28);
ALGEBRAIC(:,80) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,99).*ALGEBRAIC(:,47));
ALGEBRAIC(:,114) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,93).*STATES(:,55));
ALGEBRAIC(:,130) = ALGEBRAIC(:,80)+ALGEBRAIC(:,114);
ALGEBRAIC(:,167) = CONSTANTS(:,48).*(exp(ALGEBRAIC(:,128)./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,130)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,170) = ALGEBRAIC(:,167);
RATES(:,28) = ALGEBRAIC(:,170);
ALGEBRAIC(:,36) = CONSTANTS(:,124)+STATES(:,24);
ALGEBRAIC(:,72) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,97).*ALGEBRAIC(:,36));
ALGEBRAIC(:,132) = ALGEBRAIC(:,99)+ALGEBRAIC(:,72);
ALGEBRAIC(:,103) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,90).*STATES(:,51));
ALGEBRAIC(:,134) = ALGEBRAIC(:,103);
ALGEBRAIC(:,171) = CONSTANTS(:,46).*(exp(ALGEBRAIC(:,132)./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,134)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,173) = ALGEBRAIC(:,171);
RATES(:,51) = ALGEBRAIC(:,173);
ALGEBRAIC(:,62) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,54).*ALGEBRAIC(:,14));
ALGEBRAIC(:,136) = ALGEBRAIC(:,99)+ CONSTANTS(:,167).*ALGEBRAIC(:,62);
ALGEBRAIC(:,107) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,91).*STATES(:,52));
ALGEBRAIC(:,138) = ALGEBRAIC(:,107);
ALGEBRAIC(:,174) = CONSTANTS(:,45).*(exp(ALGEBRAIC(:,136)./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,138)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,176) = - CONSTANTS(:,167).*ALGEBRAIC(:,174);
RATES(:,25) = ALGEBRAIC(:,176);
ALGEBRAIC(:,177) = ALGEBRAIC(:,162) - ALGEBRAIC(:,174);
RATES(:,50) = ALGEBRAIC(:,177);
ALGEBRAIC(:,140) = ALGEBRAIC(:,107);
ALGEBRAIC(:,142) = ALGEBRAIC(:,110)+ CONSTANTS(:,169).*ALGEBRAIC(:,72);
ALGEBRAIC(:,178) = CONSTANTS(:,47).*(exp(ALGEBRAIC(:,140)./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,142)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,180) = ALGEBRAIC(:,174) - ALGEBRAIC(:,178);
RATES(:,52) = ALGEBRAIC(:,180);
ALGEBRAIC(:,181) = ALGEBRAIC(:,178) - ALGEBRAIC(:,167);
RATES(:,53) = ALGEBRAIC(:,181);
ALGEBRAIC(:,144) = ALGEBRAIC(:,114);
ALGEBRAIC(:,31) = CONSTANTS(:,123)+STATES(:,22)+STATES(:,26);
ALGEBRAIC(:,67) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,83).*ALGEBRAIC(:,31));
ALGEBRAIC(:,116) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,94).*STATES(:,56));
ALGEBRAIC(:,147) = ALGEBRAIC(:,116)+ CONSTANTS(:,168).*ALGEBRAIC(:,67);
ALGEBRAIC(:,182) = CONSTANTS(:,49).*(exp(ALGEBRAIC(:,144)./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,147)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,184) = CONSTANTS(:,168).*ALGEBRAIC(:,182);
RATES(:,26) = ALGEBRAIC(:,184);
ALGEBRAIC(:,185) = ALGEBRAIC(:,167) - ALGEBRAIC(:,182);
RATES(:,55) = ALGEBRAIC(:,185);
ALGEBRAIC(:,151) = ALGEBRAIC(:,116)+ CONSTANTS(:,169).*ALGEBRAIC(:,72);
ALGEBRAIC(:,118) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,95).*STATES(:,57));
ALGEBRAIC(:,153) = ALGEBRAIC(:,118);
ALGEBRAIC(:,186) = CONSTANTS(:,50).*(exp(ALGEBRAIC(:,151)./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,153)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,188) = ALGEBRAIC(:,182) - ALGEBRAIC(:,186);
RATES(:,56) = ALGEBRAIC(:,188);
ALGEBRAIC(:,155) = ALGEBRAIC(:,118);
ALGEBRAIC(:,157) = ALGEBRAIC(:,72)+ALGEBRAIC(:,112);
ALGEBRAIC(:,189) = CONSTANTS(:,51).*(exp(ALGEBRAIC(:,155)./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,157)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,191) = (( CONSTANTS(:,169).*ALGEBRAIC(:,178) - ALGEBRAIC(:,171)) - CONSTANTS(:,169).*ALGEBRAIC(:,186))+ALGEBRAIC(:,189);
RATES(:,24) = ALGEBRAIC(:,191);
ALGEBRAIC(:,193) = ALGEBRAIC(:,189) - ALGEBRAIC(:,159);
RATES(:,54) = ALGEBRAIC(:,193);
ALGEBRAIC(:,192) = ALGEBRAIC(:,186) - ALGEBRAIC(:,189);
RATES(:,57) = ALGEBRAIC(:,192);
ALGEBRAIC(:,187) = CONSTANTS(:,16).*(exp((ALGEBRAIC(:,88)+ CONSTANTS(:,158).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,97)+ CONSTANTS(:,162).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,190) = CONSTANTS(:,20).*(exp((ALGEBRAIC(:,88)+ CONSTANTS(:,159).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,105)+ CONSTANTS(:,163).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,164) = CONSTANTS(:,10).*(exp((ALGEBRAIC(:,88)+ CONSTANTS(:,157).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,111)+ CONSTANTS(:,161).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,195) = (( - ALGEBRAIC(:,164) - ALGEBRAIC(:,187)) - ALGEBRAIC(:,190)) - ALGEBRAIC(:,150);
RATES(:,33) = ALGEBRAIC(:,195);
ALGEBRAIC(:,194) = CONSTANTS(:,24).*(exp((ALGEBRAIC(:,97)+ CONSTANTS(:,160).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,105)+ CONSTANTS(:,164).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,172) = CONSTANTS(:,12).*(exp((ALGEBRAIC(:,105)+ CONSTANTS(:,157).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,131)+ CONSTANTS(:,161).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,197) = ( - ALGEBRAIC(:,172)+ALGEBRAIC(:,194)+ALGEBRAIC(:,190)) - ALGEBRAIC(:,154);
RATES(:,35) = ALGEBRAIC(:,197);
ALGEBRAIC(:,196) = CONSTANTS(:,17).*(exp((ALGEBRAIC(:,111)+ CONSTANTS(:,158).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,115)+ CONSTANTS(:,162).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,169) = CONSTANTS(:,11).*(exp((ALGEBRAIC(:,97)+ CONSTANTS(:,157).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,115)+ CONSTANTS(:,161).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,199) = (( - ALGEBRAIC(:,169) - ALGEBRAIC(:,194))+ALGEBRAIC(:,196)) - ALGEBRAIC(:,152);
RATES(:,34) = ALGEBRAIC(:,199);
ALGEBRAIC(:,198) = CONSTANTS(:,21).*(exp((ALGEBRAIC(:,111)+ CONSTANTS(:,159).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,131)+ CONSTANTS(:,163).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,201) = (( - ALGEBRAIC(:,198)+ALGEBRAIC(:,164)) - ALGEBRAIC(:,196)) - ALGEBRAIC(:,156);
RATES(:,36) = ALGEBRAIC(:,201);
ALGEBRAIC(:,200) = CONSTANTS(:,25).*(exp((ALGEBRAIC(:,115)+ CONSTANTS(:,160).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,131)+ CONSTANTS(:,164).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,203) = ((ALGEBRAIC(:,196)+ALGEBRAIC(:,169)) - ALGEBRAIC(:,158)) - ALGEBRAIC(:,200);
RATES(:,37) = ALGEBRAIC(:,203);
ALGEBRAIC(:,204) = ((ALGEBRAIC(:,198)+ALGEBRAIC(:,172)) - ALGEBRAIC(:,160))+ALGEBRAIC(:,200);
RATES(:,38) = ALGEBRAIC(:,204);
ALGEBRAIC(:,175) = CONSTANTS(:,13).*(exp((ALGEBRAIC(:,93)+ CONSTANTS(:,157).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,113)+ CONSTANTS(:,161).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,202) = CONSTANTS(:,18).*(exp((ALGEBRAIC(:,93)+ CONSTANTS(:,158).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,101)+ CONSTANTS(:,162).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,205) = CONSTANTS(:,22).*(exp((ALGEBRAIC(:,93)+ CONSTANTS(:,159).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,109)+ CONSTANTS(:,163).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,207) = (( - ALGEBRAIC(:,175) - ALGEBRAIC(:,202)) - ALGEBRAIC(:,205))+ALGEBRAIC(:,150);
RATES(:,39) = ALGEBRAIC(:,207);
ALGEBRAIC(:,183) = CONSTANTS(:,15).*(exp((ALGEBRAIC(:,109)+ CONSTANTS(:,157).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,133)+ CONSTANTS(:,161).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,206) = CONSTANTS(:,26).*(exp((ALGEBRAIC(:,101)+ CONSTANTS(:,160).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,109)+ CONSTANTS(:,164).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,209) = - ALGEBRAIC(:,183)+ALGEBRAIC(:,206)+ALGEBRAIC(:,205)+ALGEBRAIC(:,154);
RATES(:,41) = ALGEBRAIC(:,209);
ALGEBRAIC(:,179) = CONSTANTS(:,14).*(exp((ALGEBRAIC(:,101)+ CONSTANTS(:,157).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,117)+ CONSTANTS(:,161).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,208) = CONSTANTS(:,19).*(exp((ALGEBRAIC(:,113)+ CONSTANTS(:,158).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,117)+ CONSTANTS(:,162).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,211) = ( - ALGEBRAIC(:,179) - ALGEBRAIC(:,206))+ALGEBRAIC(:,208)+ALGEBRAIC(:,152);
RATES(:,40) = ALGEBRAIC(:,211);
ALGEBRAIC(:,210) = CONSTANTS(:,23).*(exp((ALGEBRAIC(:,113)+ CONSTANTS(:,159).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,133)+ CONSTANTS(:,163).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,213) = (( - ALGEBRAIC(:,210)+ALGEBRAIC(:,175)) - ALGEBRAIC(:,208))+ALGEBRAIC(:,156);
RATES(:,42) = ALGEBRAIC(:,213);
ALGEBRAIC(:,212) = CONSTANTS(:,27).*(exp((ALGEBRAIC(:,117)+ CONSTANTS(:,160).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,133)+ CONSTANTS(:,164).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,214) = (ALGEBRAIC(:,208)+ALGEBRAIC(:,179)+ALGEBRAIC(:,158)) - ALGEBRAIC(:,212);
RATES(:,43) = ALGEBRAIC(:,214);
ALGEBRAIC(:,215) = ALGEBRAIC(:,210)+ALGEBRAIC(:,183)+ALGEBRAIC(:,160)+ALGEBRAIC(:,212);
RATES(:,44) = ALGEBRAIC(:,215);
ALGEBRAIC(:,44) = STATES(:,1)./CONSTANTS(:,103);
ALGEBRAIC(:,218) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,83).*ALGEBRAIC(:,31));
ALGEBRAIC(:,219) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,54).*ALGEBRAIC(:,14));
ALGEBRAIC(:,223) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,87).*STATES(:,48));
ALGEBRAIC(:,224) = CONSTANTS(:,39).*exp(ALGEBRAIC(:,223)./( CONSTANTS(:,134).*CONSTANTS(:,135))).*(exp((ALGEBRAIC(:,218)+ CONSTANTS(:,132).*CONSTANTS(:,104).*ALGEBRAIC(:,44))./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,219)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
RATES(:,22) = - ALGEBRAIC(:,224);
ALGEBRAIC(:,39) = piecewise({VOI>CONSTANTS(:,128)&VOI<CONSTANTS(:,129), CONSTANTS(:,130) }, CONSTANTS(:,131));
ALGEBRAIC(:,225) = CONSTANTS(:,132).*ALGEBRAIC(:,224).*CONSTANTS(:,104);
ALGEBRAIC(:,216) = ALGEBRAIC(:,205).*(CONSTANTS(:,163) - CONSTANTS(:,159))+ ALGEBRAIC(:,206).*(CONSTANTS(:,164) - CONSTANTS(:,160))+ ALGEBRAIC(:,208).*(CONSTANTS(:,162) - CONSTANTS(:,158))+ ALGEBRAIC(:,210).*(CONSTANTS(:,163) - CONSTANTS(:,159))+ ALGEBRAIC(:,212).*(CONSTANTS(:,164) - CONSTANTS(:,160))+ ALGEBRAIC(:,202).*(CONSTANTS(:,162) - CONSTANTS(:,158))+ ALGEBRAIC(:,183).*(CONSTANTS(:,161) - CONSTANTS(:,157))+ ALGEBRAIC(:,179).*(CONSTANTS(:,161) - CONSTANTS(:,157))+ ALGEBRAIC(:,175).*(CONSTANTS(:,161) - CONSTANTS(:,157))+ ALGEBRAIC(:,200).*(CONSTANTS(:,164) - CONSTANTS(:,160))+ ALGEBRAIC(:,198).*(CONSTANTS(:,163) - CONSTANTS(:,159))+ ALGEBRAIC(:,196).*(CONSTANTS(:,162) - CONSTANTS(:,158))+ ALGEBRAIC(:,194).*(CONSTANTS(:,164) - CONSTANTS(:,160))+ ALGEBRAIC(:,190).*(CONSTANTS(:,163) - CONSTANTS(:,159))+ ALGEBRAIC(:,187).*(CONSTANTS(:,162) - CONSTANTS(:,158))+ ALGEBRAIC(:,172).*(CONSTANTS(:,161) - CONSTANTS(:,157))+ ALGEBRAIC(:,169).*(CONSTANTS(:,161) - CONSTANTS(:,157))+ ALGEBRAIC(:,164).*(CONSTANTS(:,161) - CONSTANTS(:,157));
ALGEBRAIC(:,217) = CONSTANTS(:,104).*((ALGEBRAIC(:,216) - CONSTANTS(:,132).*(ALGEBRAIC(:,127)+ALGEBRAIC(:,143))) - CONSTANTS(:,133).*(ALGEBRAIC(:,129)+ALGEBRAIC(:,146)));
ALGEBRAIC(:,227) = ( - ALGEBRAIC(:,225) - ALGEBRAIC(:,217))+ALGEBRAIC(:,39);
RATES(:,1) = ALGEBRAIC(:,227);
ALGEBRAIC(:,220) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,84).*STATES(:,45));
ALGEBRAIC(:,226) = CONSTANTS(:,40).*(exp(ALGEBRAIC(:,223)./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp((ALGEBRAIC(:,220)+ CONSTANTS(:,166).*ALGEBRAIC(:,219))./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,221) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,85).*STATES(:,46));
ALGEBRAIC(:,228) = CONSTANTS(:,41).*(exp((ALGEBRAIC(:,220)+ CONSTANTS(:,165).*ALGEBRAIC(:,219))./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,221)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
RATES(:,45) = ALGEBRAIC(:,226) - ALGEBRAIC(:,228);
ALGEBRAIC(:,222) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,86).*STATES(:,47));
ALGEBRAIC(:,229) = CONSTANTS(:,42).*(exp((ALGEBRAIC(:,221)+ CONSTANTS(:,166).*ALGEBRAIC(:,219))./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,222)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
RATES(:,46) = ALGEBRAIC(:,228) - ALGEBRAIC(:,229);
ALGEBRAIC(:,230) = CONSTANTS(:,43).*(exp(ALGEBRAIC(:,222)./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp((ALGEBRAIC(:,223)+ CONSTANTS(:,165).*ALGEBRAIC(:,219))./( CONSTANTS(:,134).*CONSTANTS(:,135))));
RATES(:,48) = ALGEBRAIC(:,230) - ALGEBRAIC(:,226);
RATES(:,47) = ALGEBRAIC(:,229) - ALGEBRAIC(:,230);
ALGEBRAIC(:,231) = (( CONSTANTS(:,166).*ALGEBRAIC(:,226) - CONSTANTS(:,165).*ALGEBRAIC(:,228)) - CONSTANTS(:,166).*ALGEBRAIC(:,229))+ CONSTANTS(:,165).*ALGEBRAIC(:,230);
RATES(:,23) = ALGEBRAIC(:,224)+ALGEBRAIC(:,231);
RATES = RATES';
end
% Calculate algebraic variables
function ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI)
statesSize = size(STATES);
statesColumnCount = statesSize(2);
if ( statesColumnCount == 1)
STATES = STATES';
utilOnes = 1;
else
statesRowCount = statesSize(1);
utilOnes = ones(statesRowCount, 1);
end
ALGEBRAIC(:,2) = CONSTANTS(:,171).*STATES(:,30).*CONSTANTS(:,150);
ALGEBRAIC(:,12) = - CONSTANTS(:,177) - ALGEBRAIC(:,2);
ALGEBRAIC(:,16) = ALGEBRAIC(:,12)./CONSTANTS(:,150);
ALGEBRAIC(:,3) = CONSTANTS(:,172).*STATES(:,31).*CONSTANTS(:,150);
ALGEBRAIC(:,13) = - CONSTANTS(:,180) - ALGEBRAIC(:,3);
ALGEBRAIC(:,17) = ALGEBRAIC(:,13)./CONSTANTS(:,150);
ALGEBRAIC(:,18) = CONSTANTS(:,106)+STATES(:,4);
ALGEBRAIC(:,49) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,55).*ALGEBRAIC(:,18));
ALGEBRAIC(:,22) = CONSTANTS(:,108)+STATES(:,5);
ALGEBRAIC(:,54) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,56).*ALGEBRAIC(:,22));
ALGEBRAIC(:,25) = CONSTANTS(:,109)+STATES(:,6);
ALGEBRAIC(:,58) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,57).*ALGEBRAIC(:,25));
ALGEBRAIC(:,73) = CONSTANTS(:,2).*(exp((ALGEBRAIC(:,54)+ CONSTANTS(:,138).*ALGEBRAIC(:,49))./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp((ALGEBRAIC(:,58)+ CONSTANTS(:,138).*ALGEBRAIC(:,49))./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,81) = ALGEBRAIC(:,75)./CONSTANTS(:,150);
ALGEBRAIC(:,29) = CONSTANTS(:,110)+STATES(:,7);
ALGEBRAIC(:,63) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,58).*ALGEBRAIC(:,29));
ALGEBRAIC(:,82) = CONSTANTS(:,3).*(exp(ALGEBRAIC(:,58)./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,63)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,34) = CONSTANTS(:,111)+STATES(:,8);
ALGEBRAIC(:,68) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,59).*ALGEBRAIC(:,34));
ALGEBRAIC(:,87) = CONSTANTS(:,4).*(exp(ALGEBRAIC(:,63)./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,68)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,92) = CONSTANTS(:,5).*(exp(ALGEBRAIC(:,68)./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,58)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,1) = CONSTANTS(:,115)+STATES(:,14);
ALGEBRAIC(:,46) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,75).*ALGEBRAIC(:,1));
ALGEBRAIC(:,11) = CONSTANTS(:,116)+STATES(:,15);
ALGEBRAIC(:,51) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,76).*ALGEBRAIC(:,11));
ALGEBRAIC(:,15) = CONSTANTS(:,117)+STATES(:,16);
ALGEBRAIC(:,57) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,77).*ALGEBRAIC(:,15));
ALGEBRAIC(:,89) = CONSTANTS(:,34).*(exp((ALGEBRAIC(:,46)+ALGEBRAIC(:,51))./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,57)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,26) = CONSTANTS(:,120)+STATES(:,19);
ALGEBRAIC(:,71) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,80).*ALGEBRAIC(:,26));
ALGEBRAIC(:,94) = CONSTANTS(:,35).*(exp(ALGEBRAIC(:,57)./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp((ALGEBRAIC(:,71)+ALGEBRAIC(:,51))./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,19) = CONSTANTS(:,118)+STATES(:,17);
ALGEBRAIC(:,61) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,78).*ALGEBRAIC(:,19));
ALGEBRAIC(:,23) = CONSTANTS(:,119)+STATES(:,18);
ALGEBRAIC(:,66) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,79).*ALGEBRAIC(:,23));
ALGEBRAIC(:,98) = CONSTANTS(:,36).*(exp((ALGEBRAIC(:,71)+ALGEBRAIC(:,61))./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,66)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,102) = CONSTANTS(:,37).*(exp(ALGEBRAIC(:,66)./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp((ALGEBRAIC(:,46)+ALGEBRAIC(:,61))./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,30) = CONSTANTS(:,121)+STATES(:,20);
ALGEBRAIC(:,79) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,81).*ALGEBRAIC(:,30));
ALGEBRAIC(:,35) = CONSTANTS(:,122)+STATES(:,21);
ALGEBRAIC(:,84) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,82).*ALGEBRAIC(:,35));
ALGEBRAIC(:,106) = CONSTANTS(:,38).*(exp((ALGEBRAIC(:,61)+ALGEBRAIC(:,79))./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,84)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,4) = CONSTANTS(:,105)+STATES(:,2);
ALGEBRAIC(:,38) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,53).*ALGEBRAIC(:,4));
ALGEBRAIC(:,14) = CONSTANTS(:,107)+STATES(:,3)+STATES(:,10)+STATES(:,23)+STATES(:,25);
ALGEBRAIC(:,43) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,54).*ALGEBRAIC(:,14));
ALGEBRAIC(:,55) = (CONSTANTS(:,151)./( CONSTANTS(:,141).*CONSTANTS(:,142).*CONSTANTS(:,143))).*STATES(:,8).*(STATES(:,31)+CONSTANTS(:,141));
ALGEBRAIC(:,59) = (CONSTANTS(:,151)./( CONSTANTS(:,141).*CONSTANTS(:,142).*CONSTANTS(:,143))).*STATES(:,7).*STATES(:,30);
ALGEBRAIC(:,64) = ALGEBRAIC(:,55)+ALGEBRAIC(:,59);
ALGEBRAIC(:,69) = ALGEBRAIC(:,64);
ALGEBRAIC(:,86) = (( CONSTANTS(:,155).*ALGEBRAIC(:,74))./CONSTANTS(:,141)).*ALGEBRAIC(:,81);
ALGEBRAIC(:,91) = ALGEBRAIC(:,86);
ALGEBRAIC(:,96) = ALGEBRAIC(:,69)+ALGEBRAIC(:,91);
ALGEBRAIC(:,100) = ALGEBRAIC(:,96).*1000.00;
ALGEBRAIC(:,104) = CONSTANTS(:,140).*CONSTANTS(:,174).*ALGEBRAIC(:,100);
ALGEBRAIC(:,108) = CONSTANTS(:,1).*(exp((ALGEBRAIC(:,43)+ALGEBRAIC(:,38))./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp((ALGEBRAIC(:,49)+ALGEBRAIC(:,104))./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,50) = STATES(:,1)./CONSTANTS(:,103);
ALGEBRAIC(:,78) = CONSTANTS(:,132).*CONSTANTS(:,104).*ALGEBRAIC(:,50);
ALGEBRAIC(:,56) = CONSTANTS(:,178).*log( CONSTANTS(:,54).*ALGEBRAIC(:,14));
ALGEBRAIC(:,117) = CONSTANTS(:,178).*log( CONSTANTS(:,73).*STATES(:,43));
ALGEBRAIC(:,119) = ALGEBRAIC(:,56)+ALGEBRAIC(:,78)+ALGEBRAIC(:,117);
ALGEBRAIC(:,20) = CONSTANTS(:,112)+STATES(:,11);
ALGEBRAIC(:,60) = CONSTANTS(:,178).*log( CONSTANTS(:,60).*ALGEBRAIC(:,20));
ALGEBRAIC(:,121) = ALGEBRAIC(:,60)+ALGEBRAIC(:,117);
ALGEBRAIC(:,127) = piecewise({ALGEBRAIC(:,78)==0.000000, CONSTANTS(:,6).*(exp(ALGEBRAIC(:,119)./CONSTANTS(:,178)) - exp(ALGEBRAIC(:,121)./CONSTANTS(:,178))) }, ((( CONSTANTS(:,6).*ALGEBRAIC(:,78))./CONSTANTS(:,178))./(exp(ALGEBRAIC(:,78)./CONSTANTS(:,178)) - 1.00000)).*(exp(ALGEBRAIC(:,119)./CONSTANTS(:,178)) - exp(ALGEBRAIC(:,121)./CONSTANTS(:,178))));
ALGEBRAIC(:,133) = CONSTANTS(:,178).*log( CONSTANTS(:,74).*STATES(:,44));
ALGEBRAIC(:,135) = ALGEBRAIC(:,56)+ALGEBRAIC(:,78)+ALGEBRAIC(:,133);
ALGEBRAIC(:,137) = ALGEBRAIC(:,60)+ALGEBRAIC(:,133);
ALGEBRAIC(:,143) = piecewise({ALGEBRAIC(:,78)==0.000000, CONSTANTS(:,7).*(exp(ALGEBRAIC(:,135)./CONSTANTS(:,178)) - exp(ALGEBRAIC(:,137)./CONSTANTS(:,178))) }, ((( CONSTANTS(:,7).*ALGEBRAIC(:,78))./CONSTANTS(:,178))./(exp(ALGEBRAIC(:,78)./CONSTANTS(:,178)) - 1.00000)).*(exp(ALGEBRAIC(:,135)./CONSTANTS(:,178)) - exp(ALGEBRAIC(:,137)./CONSTANTS(:,178))));
ALGEBRAIC(:,145) = ALGEBRAIC(:,143)+ALGEBRAIC(:,127);
ALGEBRAIC(:,83) = CONSTANTS(:,133).*CONSTANTS(:,104).*ALGEBRAIC(:,50);
ALGEBRAIC(:,24) = CONSTANTS(:,113)+STATES(:,12);
ALGEBRAIC(:,65) = CONSTANTS(:,178).*log( CONSTANTS(:,61).*ALGEBRAIC(:,24));
ALGEBRAIC(:,123) = ALGEBRAIC(:,65)+ALGEBRAIC(:,83)+ALGEBRAIC(:,117);
ALGEBRAIC(:,27) = CONSTANTS(:,114)+STATES(:,13);
ALGEBRAIC(:,70) = CONSTANTS(:,178).*log( CONSTANTS(:,62).*ALGEBRAIC(:,27));
ALGEBRAIC(:,125) = ALGEBRAIC(:,70)+ALGEBRAIC(:,117);
ALGEBRAIC(:,129) = piecewise({ALGEBRAIC(:,83)==0.000000, CONSTANTS(:,8).*(exp(ALGEBRAIC(:,123)./CONSTANTS(:,178)) - exp(ALGEBRAIC(:,125)./CONSTANTS(:,178))) }, ((( CONSTANTS(:,8).*ALGEBRAIC(:,83))./CONSTANTS(:,178))./(exp(ALGEBRAIC(:,83)./CONSTANTS(:,178)) - 1.00000)).*(exp(ALGEBRAIC(:,123)./CONSTANTS(:,178)) - exp(ALGEBRAIC(:,125)./CONSTANTS(:,178))));
ALGEBRAIC(:,139) = ALGEBRAIC(:,65)+ALGEBRAIC(:,83)+ALGEBRAIC(:,133);
ALGEBRAIC(:,141) = ALGEBRAIC(:,70)+ALGEBRAIC(:,133);
ALGEBRAIC(:,146) = piecewise({ALGEBRAIC(:,83)==0.000000, CONSTANTS(:,9).*(exp(ALGEBRAIC(:,139)./CONSTANTS(:,178)) - exp(ALGEBRAIC(:,141)./CONSTANTS(:,178))) }, ((( CONSTANTS(:,9).*ALGEBRAIC(:,83))./CONSTANTS(:,178))./(exp(ALGEBRAIC(:,83)./CONSTANTS(:,178)) - 1.00000)).*(exp(ALGEBRAIC(:,139)./CONSTANTS(:,178)) - exp(ALGEBRAIC(:,141)./CONSTANTS(:,178))));
ALGEBRAIC(:,148) = - ALGEBRAIC(:,129) - ALGEBRAIC(:,146);
ALGEBRAIC(:,149) = ALGEBRAIC(:,146)+ALGEBRAIC(:,129);
ALGEBRAIC(:,112) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,96).*STATES(:,54));
ALGEBRAIC(:,120) = ALGEBRAIC(:,112);
ALGEBRAIC(:,95) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,88).*STATES(:,49));
ALGEBRAIC(:,52) = CONSTANTS(:,125)+STATES(:,29);
ALGEBRAIC(:,90) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,100).*ALGEBRAIC(:,52));
ALGEBRAIC(:,122) = ALGEBRAIC(:,95)+ALGEBRAIC(:,90);
ALGEBRAIC(:,159) = CONSTANTS(:,52).*(exp(ALGEBRAIC(:,120)./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,122)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,161) = ALGEBRAIC(:,159);
ALGEBRAIC(:,40) = CONSTANTS(:,127)+STATES(:,27);
ALGEBRAIC(:,85) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,98).*ALGEBRAIC(:,40));
ALGEBRAIC(:,124) = ALGEBRAIC(:,95)+ALGEBRAIC(:,85);
ALGEBRAIC(:,99) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,89).*STATES(:,50));
ALGEBRAIC(:,126) = ALGEBRAIC(:,99);
ALGEBRAIC(:,162) = CONSTANTS(:,44).*(exp(ALGEBRAIC(:,124)./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,126)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,165) = - ALGEBRAIC(:,162);
ALGEBRAIC(:,166) = ALGEBRAIC(:,159) - ALGEBRAIC(:,162);
ALGEBRAIC(:,88) = CONSTANTS(:,178).*log( CONSTANTS(:,63).*STATES(:,33));
ALGEBRAIC(:,93) = CONSTANTS(:,178).*log( CONSTANTS(:,69).*STATES(:,39));
ALGEBRAIC(:,150) = CONSTANTS(:,28).*(exp(ALGEBRAIC(:,88)./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,93)+ CONSTANTS(:,156).*ALGEBRAIC(:,56))./CONSTANTS(:,178)));
ALGEBRAIC(:,97) = CONSTANTS(:,178).*log( CONSTANTS(:,64).*STATES(:,34));
ALGEBRAIC(:,101) = CONSTANTS(:,178).*log( CONSTANTS(:,70).*STATES(:,40));
ALGEBRAIC(:,152) = CONSTANTS(:,30).*(exp(ALGEBRAIC(:,97)./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,101)+ CONSTANTS(:,156).*ALGEBRAIC(:,56))./CONSTANTS(:,178)));
ALGEBRAIC(:,105) = CONSTANTS(:,178).*log( CONSTANTS(:,65).*STATES(:,35));
ALGEBRAIC(:,109) = CONSTANTS(:,178).*log( CONSTANTS(:,71).*STATES(:,41));
ALGEBRAIC(:,154) = CONSTANTS(:,32).*(exp(ALGEBRAIC(:,105)./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,109)+ CONSTANTS(:,156).*ALGEBRAIC(:,56))./CONSTANTS(:,178)));
ALGEBRAIC(:,111) = CONSTANTS(:,178).*log( CONSTANTS(:,66).*STATES(:,36));
ALGEBRAIC(:,113) = CONSTANTS(:,178).*log( CONSTANTS(:,72).*STATES(:,42));
ALGEBRAIC(:,156) = CONSTANTS(:,29).*(exp(ALGEBRAIC(:,111)./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,113)+ CONSTANTS(:,156).*ALGEBRAIC(:,56))./CONSTANTS(:,178)));
ALGEBRAIC(:,115) = CONSTANTS(:,178).*log( CONSTANTS(:,67).*STATES(:,37));
ALGEBRAIC(:,158) = CONSTANTS(:,31).*(exp(ALGEBRAIC(:,115)./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,117)+ CONSTANTS(:,156).*ALGEBRAIC(:,56))./CONSTANTS(:,178)));
ALGEBRAIC(:,131) = CONSTANTS(:,178).*log( CONSTANTS(:,68).*STATES(:,38));
ALGEBRAIC(:,160) = CONSTANTS(:,33).*(exp(ALGEBRAIC(:,131)./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,133)+ CONSTANTS(:,156).*ALGEBRAIC(:,56))./CONSTANTS(:,178)));
ALGEBRAIC(:,163) = CONSTANTS(:,132).*(ALGEBRAIC(:,156)+ALGEBRAIC(:,158)+ALGEBRAIC(:,154)+ALGEBRAIC(:,152)+ALGEBRAIC(:,150)+ALGEBRAIC(:,160));
ALGEBRAIC(:,168) = (ALGEBRAIC(:,163) - ALGEBRAIC(:,127)) - ALGEBRAIC(:,143);
ALGEBRAIC(:,110) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,92).*STATES(:,53));
ALGEBRAIC(:,128) = ALGEBRAIC(:,110);
ALGEBRAIC(:,47) = CONSTANTS(:,126)+STATES(:,28);
ALGEBRAIC(:,80) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,99).*ALGEBRAIC(:,47));
ALGEBRAIC(:,114) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,93).*STATES(:,55));
ALGEBRAIC(:,130) = ALGEBRAIC(:,80)+ALGEBRAIC(:,114);
ALGEBRAIC(:,167) = CONSTANTS(:,48).*(exp(ALGEBRAIC(:,128)./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,130)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,170) = ALGEBRAIC(:,167);
ALGEBRAIC(:,36) = CONSTANTS(:,124)+STATES(:,24);
ALGEBRAIC(:,72) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,97).*ALGEBRAIC(:,36));
ALGEBRAIC(:,132) = ALGEBRAIC(:,99)+ALGEBRAIC(:,72);
ALGEBRAIC(:,103) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,90).*STATES(:,51));
ALGEBRAIC(:,134) = ALGEBRAIC(:,103);
ALGEBRAIC(:,171) = CONSTANTS(:,46).*(exp(ALGEBRAIC(:,132)./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,134)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,173) = ALGEBRAIC(:,171);
ALGEBRAIC(:,62) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,54).*ALGEBRAIC(:,14));
ALGEBRAIC(:,136) = ALGEBRAIC(:,99)+ CONSTANTS(:,167).*ALGEBRAIC(:,62);
ALGEBRAIC(:,107) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,91).*STATES(:,52));
ALGEBRAIC(:,138) = ALGEBRAIC(:,107);
ALGEBRAIC(:,174) = CONSTANTS(:,45).*(exp(ALGEBRAIC(:,136)./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,138)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,176) = - CONSTANTS(:,167).*ALGEBRAIC(:,174);
ALGEBRAIC(:,177) = ALGEBRAIC(:,162) - ALGEBRAIC(:,174);
ALGEBRAIC(:,140) = ALGEBRAIC(:,107);
ALGEBRAIC(:,142) = ALGEBRAIC(:,110)+ CONSTANTS(:,169).*ALGEBRAIC(:,72);
ALGEBRAIC(:,178) = CONSTANTS(:,47).*(exp(ALGEBRAIC(:,140)./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,142)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,180) = ALGEBRAIC(:,174) - ALGEBRAIC(:,178);
ALGEBRAIC(:,181) = ALGEBRAIC(:,178) - ALGEBRAIC(:,167);
ALGEBRAIC(:,144) = ALGEBRAIC(:,114);
ALGEBRAIC(:,31) = CONSTANTS(:,123)+STATES(:,22)+STATES(:,26);
ALGEBRAIC(:,67) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,83).*ALGEBRAIC(:,31));
ALGEBRAIC(:,116) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,94).*STATES(:,56));
ALGEBRAIC(:,147) = ALGEBRAIC(:,116)+ CONSTANTS(:,168).*ALGEBRAIC(:,67);
ALGEBRAIC(:,182) = CONSTANTS(:,49).*(exp(ALGEBRAIC(:,144)./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,147)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,184) = CONSTANTS(:,168).*ALGEBRAIC(:,182);
ALGEBRAIC(:,185) = ALGEBRAIC(:,167) - ALGEBRAIC(:,182);
ALGEBRAIC(:,151) = ALGEBRAIC(:,116)+ CONSTANTS(:,169).*ALGEBRAIC(:,72);
ALGEBRAIC(:,118) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,95).*STATES(:,57));
ALGEBRAIC(:,153) = ALGEBRAIC(:,118);
ALGEBRAIC(:,186) = CONSTANTS(:,50).*(exp(ALGEBRAIC(:,151)./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,153)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,188) = ALGEBRAIC(:,182) - ALGEBRAIC(:,186);
ALGEBRAIC(:,155) = ALGEBRAIC(:,118);
ALGEBRAIC(:,157) = ALGEBRAIC(:,72)+ALGEBRAIC(:,112);
ALGEBRAIC(:,189) = CONSTANTS(:,51).*(exp(ALGEBRAIC(:,155)./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,157)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,191) = (( CONSTANTS(:,169).*ALGEBRAIC(:,178) - ALGEBRAIC(:,171)) - CONSTANTS(:,169).*ALGEBRAIC(:,186))+ALGEBRAIC(:,189);
ALGEBRAIC(:,193) = ALGEBRAIC(:,189) - ALGEBRAIC(:,159);
ALGEBRAIC(:,192) = ALGEBRAIC(:,186) - ALGEBRAIC(:,189);
ALGEBRAIC(:,187) = CONSTANTS(:,16).*(exp((ALGEBRAIC(:,88)+ CONSTANTS(:,158).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,97)+ CONSTANTS(:,162).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,190) = CONSTANTS(:,20).*(exp((ALGEBRAIC(:,88)+ CONSTANTS(:,159).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,105)+ CONSTANTS(:,163).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,164) = CONSTANTS(:,10).*(exp((ALGEBRAIC(:,88)+ CONSTANTS(:,157).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,111)+ CONSTANTS(:,161).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,195) = (( - ALGEBRAIC(:,164) - ALGEBRAIC(:,187)) - ALGEBRAIC(:,190)) - ALGEBRAIC(:,150);
ALGEBRAIC(:,194) = CONSTANTS(:,24).*(exp((ALGEBRAIC(:,97)+ CONSTANTS(:,160).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,105)+ CONSTANTS(:,164).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,172) = CONSTANTS(:,12).*(exp((ALGEBRAIC(:,105)+ CONSTANTS(:,157).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,131)+ CONSTANTS(:,161).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,197) = ( - ALGEBRAIC(:,172)+ALGEBRAIC(:,194)+ALGEBRAIC(:,190)) - ALGEBRAIC(:,154);
ALGEBRAIC(:,196) = CONSTANTS(:,17).*(exp((ALGEBRAIC(:,111)+ CONSTANTS(:,158).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,115)+ CONSTANTS(:,162).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,169) = CONSTANTS(:,11).*(exp((ALGEBRAIC(:,97)+ CONSTANTS(:,157).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,115)+ CONSTANTS(:,161).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,199) = (( - ALGEBRAIC(:,169) - ALGEBRAIC(:,194))+ALGEBRAIC(:,196)) - ALGEBRAIC(:,152);
ALGEBRAIC(:,198) = CONSTANTS(:,21).*(exp((ALGEBRAIC(:,111)+ CONSTANTS(:,159).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,131)+ CONSTANTS(:,163).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,201) = (( - ALGEBRAIC(:,198)+ALGEBRAIC(:,164)) - ALGEBRAIC(:,196)) - ALGEBRAIC(:,156);
ALGEBRAIC(:,200) = CONSTANTS(:,25).*(exp((ALGEBRAIC(:,115)+ CONSTANTS(:,160).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,131)+ CONSTANTS(:,164).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,203) = ((ALGEBRAIC(:,196)+ALGEBRAIC(:,169)) - ALGEBRAIC(:,158)) - ALGEBRAIC(:,200);
ALGEBRAIC(:,204) = ((ALGEBRAIC(:,198)+ALGEBRAIC(:,172)) - ALGEBRAIC(:,160))+ALGEBRAIC(:,200);
ALGEBRAIC(:,175) = CONSTANTS(:,13).*(exp((ALGEBRAIC(:,93)+ CONSTANTS(:,157).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,113)+ CONSTANTS(:,161).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,202) = CONSTANTS(:,18).*(exp((ALGEBRAIC(:,93)+ CONSTANTS(:,158).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,101)+ CONSTANTS(:,162).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,205) = CONSTANTS(:,22).*(exp((ALGEBRAIC(:,93)+ CONSTANTS(:,159).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,109)+ CONSTANTS(:,163).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,207) = (( - ALGEBRAIC(:,175) - ALGEBRAIC(:,202)) - ALGEBRAIC(:,205))+ALGEBRAIC(:,150);
ALGEBRAIC(:,183) = CONSTANTS(:,15).*(exp((ALGEBRAIC(:,109)+ CONSTANTS(:,157).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,133)+ CONSTANTS(:,161).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,206) = CONSTANTS(:,26).*(exp((ALGEBRAIC(:,101)+ CONSTANTS(:,160).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,109)+ CONSTANTS(:,164).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,209) = - ALGEBRAIC(:,183)+ALGEBRAIC(:,206)+ALGEBRAIC(:,205)+ALGEBRAIC(:,154);
ALGEBRAIC(:,179) = CONSTANTS(:,14).*(exp((ALGEBRAIC(:,101)+ CONSTANTS(:,157).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,117)+ CONSTANTS(:,161).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,208) = CONSTANTS(:,19).*(exp((ALGEBRAIC(:,113)+ CONSTANTS(:,158).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,117)+ CONSTANTS(:,162).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,211) = ( - ALGEBRAIC(:,179) - ALGEBRAIC(:,206))+ALGEBRAIC(:,208)+ALGEBRAIC(:,152);
ALGEBRAIC(:,210) = CONSTANTS(:,23).*(exp((ALGEBRAIC(:,113)+ CONSTANTS(:,159).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,133)+ CONSTANTS(:,163).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,213) = (( - ALGEBRAIC(:,210)+ALGEBRAIC(:,175)) - ALGEBRAIC(:,208))+ALGEBRAIC(:,156);
ALGEBRAIC(:,212) = CONSTANTS(:,27).*(exp((ALGEBRAIC(:,117)+ CONSTANTS(:,160).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)) - exp((ALGEBRAIC(:,133)+ CONSTANTS(:,164).*CONSTANTS(:,104).*ALGEBRAIC(:,50))./CONSTANTS(:,178)));
ALGEBRAIC(:,214) = (ALGEBRAIC(:,208)+ALGEBRAIC(:,179)+ALGEBRAIC(:,158)) - ALGEBRAIC(:,212);
ALGEBRAIC(:,215) = ALGEBRAIC(:,210)+ALGEBRAIC(:,183)+ALGEBRAIC(:,160)+ALGEBRAIC(:,212);
ALGEBRAIC(:,44) = STATES(:,1)./CONSTANTS(:,103);
ALGEBRAIC(:,218) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,83).*ALGEBRAIC(:,31));
ALGEBRAIC(:,219) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,54).*ALGEBRAIC(:,14));
ALGEBRAIC(:,223) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,87).*STATES(:,48));
ALGEBRAIC(:,224) = CONSTANTS(:,39).*exp(ALGEBRAIC(:,223)./( CONSTANTS(:,134).*CONSTANTS(:,135))).*(exp((ALGEBRAIC(:,218)+ CONSTANTS(:,132).*CONSTANTS(:,104).*ALGEBRAIC(:,44))./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,219)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,39) = piecewise({VOI>CONSTANTS(:,128)&VOI<CONSTANTS(:,129), CONSTANTS(:,130) }, CONSTANTS(:,131));
ALGEBRAIC(:,225) = CONSTANTS(:,132).*ALGEBRAIC(:,224).*CONSTANTS(:,104);
ALGEBRAIC(:,216) = ALGEBRAIC(:,205).*(CONSTANTS(:,163) - CONSTANTS(:,159))+ ALGEBRAIC(:,206).*(CONSTANTS(:,164) - CONSTANTS(:,160))+ ALGEBRAIC(:,208).*(CONSTANTS(:,162) - CONSTANTS(:,158))+ ALGEBRAIC(:,210).*(CONSTANTS(:,163) - CONSTANTS(:,159))+ ALGEBRAIC(:,212).*(CONSTANTS(:,164) - CONSTANTS(:,160))+ ALGEBRAIC(:,202).*(CONSTANTS(:,162) - CONSTANTS(:,158))+ ALGEBRAIC(:,183).*(CONSTANTS(:,161) - CONSTANTS(:,157))+ ALGEBRAIC(:,179).*(CONSTANTS(:,161) - CONSTANTS(:,157))+ ALGEBRAIC(:,175).*(CONSTANTS(:,161) - CONSTANTS(:,157))+ ALGEBRAIC(:,200).*(CONSTANTS(:,164) - CONSTANTS(:,160))+ ALGEBRAIC(:,198).*(CONSTANTS(:,163) - CONSTANTS(:,159))+ ALGEBRAIC(:,196).*(CONSTANTS(:,162) - CONSTANTS(:,158))+ ALGEBRAIC(:,194).*(CONSTANTS(:,164) - CONSTANTS(:,160))+ ALGEBRAIC(:,190).*(CONSTANTS(:,163) - CONSTANTS(:,159))+ ALGEBRAIC(:,187).*(CONSTANTS(:,162) - CONSTANTS(:,158))+ ALGEBRAIC(:,172).*(CONSTANTS(:,161) - CONSTANTS(:,157))+ ALGEBRAIC(:,169).*(CONSTANTS(:,161) - CONSTANTS(:,157))+ ALGEBRAIC(:,164).*(CONSTANTS(:,161) - CONSTANTS(:,157));
ALGEBRAIC(:,217) = CONSTANTS(:,104).*((ALGEBRAIC(:,216) - CONSTANTS(:,132).*(ALGEBRAIC(:,127)+ALGEBRAIC(:,143))) - CONSTANTS(:,133).*(ALGEBRAIC(:,129)+ALGEBRAIC(:,146)));
ALGEBRAIC(:,227) = ( - ALGEBRAIC(:,225) - ALGEBRAIC(:,217))+ALGEBRAIC(:,39);
ALGEBRAIC(:,220) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,84).*STATES(:,45));
ALGEBRAIC(:,226) = CONSTANTS(:,40).*(exp(ALGEBRAIC(:,223)./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp((ALGEBRAIC(:,220)+ CONSTANTS(:,166).*ALGEBRAIC(:,219))./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,221) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,85).*STATES(:,46));
ALGEBRAIC(:,228) = CONSTANTS(:,41).*(exp((ALGEBRAIC(:,220)+ CONSTANTS(:,165).*ALGEBRAIC(:,219))./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,221)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,222) = CONSTANTS(:,134).*CONSTANTS(:,135).*log( CONSTANTS(:,86).*STATES(:,47));
ALGEBRAIC(:,229) = CONSTANTS(:,42).*(exp((ALGEBRAIC(:,221)+ CONSTANTS(:,166).*ALGEBRAIC(:,219))./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp(ALGEBRAIC(:,222)./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,230) = CONSTANTS(:,43).*(exp(ALGEBRAIC(:,222)./( CONSTANTS(:,134).*CONSTANTS(:,135))) - exp((ALGEBRAIC(:,223)+ CONSTANTS(:,165).*ALGEBRAIC(:,219))./( CONSTANTS(:,134).*CONSTANTS(:,135))));
ALGEBRAIC(:,231) = (( CONSTANTS(:,166).*ALGEBRAIC(:,226) - CONSTANTS(:,165).*ALGEBRAIC(:,228)) - CONSTANTS(:,166).*ALGEBRAIC(:,229))+ CONSTANTS(:,165).*ALGEBRAIC(:,230);
ALGEBRAIC(:,5) = STATES(:,25)./CONSTANTS(:,170);
ALGEBRAIC(:,6) = STATES(:,26)./CONSTANTS(:,175);
ALGEBRAIC(:,7) = STATES(:,24)./CONSTANTS(:,179);
ALGEBRAIC(:,8) = STATES(:,28)./CONSTANTS(:,170);
ALGEBRAIC(:,9) = STATES(:,27)./CONSTANTS(:,170);
ALGEBRAIC(:,10) = STATES(:,29)./CONSTANTS(:,170);
ALGEBRAIC(:,21) = ALGEBRAIC(:,11)+ALGEBRAIC(:,15);
ALGEBRAIC(:,28) = ALGEBRAIC(:,24);
ALGEBRAIC(:,32) = ALGEBRAIC(:,1)+ALGEBRAIC(:,15)+ALGEBRAIC(:,26)+ALGEBRAIC(:,23);
ALGEBRAIC(:,33) = ALGEBRAIC(:,27);
ALGEBRAIC(:,37) = CONSTANTS(:,156).*(STATES(:,33)+STATES(:,34)+STATES(:,35)+STATES(:,36)+STATES(:,37)+STATES(:,38));
ALGEBRAIC(:,41) = CONSTANTS(:,166).*STATES(:,48)+ CONSTANTS(:,165).*STATES(:,46)+ (CONSTANTS(:,165)+CONSTANTS(:,166)).*STATES(:,47);
ALGEBRAIC(:,42) = ALGEBRAIC(:,30)+ALGEBRAIC(:,35);
ALGEBRAIC(:,45) = ALGEBRAIC(:,39)./( CONSTANTS(:,132).*CONSTANTS(:,104));
ALGEBRAIC(:,48) = CONSTANTS(:,167).*STATES(:,52)+ CONSTANTS(:,167).*STATES(:,53)+ CONSTANTS(:,168).*STATES(:,55);
ALGEBRAIC(:,53) = ALGEBRAIC(:,14)+ALGEBRAIC(:,18)+ALGEBRAIC(:,31)+ALGEBRAIC(:,20)+ALGEBRAIC(:,37)+ALGEBRAIC(:,48)+ALGEBRAIC(:,41);
end
% Functions required for solving differential algebraic equation
function [CONSTANTS, STATES, ALGEBRAIC] = rootfind_0(VOI, CONSTANTS_IN, STATES_IN, ALGEBRAIC_IN)
ALGEBRAIC = ALGEBRAIC_IN;
CONSTANTS = CONSTANTS_IN;
STATES = STATES_IN;
global initialGuess_0;
if (length(initialGuess_0) ~= 4), initialGuess_0 = [0.1,0.1,0.1,0.1];, end
options = optimset('Display', 'off', 'TolX', 1E-6);
if length(VOI) == 1
residualfn = @(algebraicCandidate)residualSN_0(algebraicCandidate, ALGEBRAIC, VOI, CONSTANTS, STATES);
soln = fsolve(residualfn, initialGuess_0, options);
initialGuess_0 = soln;
ALGEBRAIC(:,74) = soln(1);
ALGEBRAIC(:,75) = soln(2);
ALGEBRAIC(:,76) = soln(3);
ALGEBRAIC(:,77) = soln(4);
else
SET_ALGEBRAIC(:,74) = logical(1);
SET_ALGEBRAIC(:,75) = logical(1);
SET_ALGEBRAIC(:,76) = logical(1);
SET_ALGEBRAIC(:,77) = logical(1);
for i=1:length(VOI)
residualfn = @(algebraicCandidate)residualSN_0(algebraicCandidate, ALGEBRAIC(i,:), VOI(i), CONSTANTS, STATES(i,:));
soln = fsolve(residualfn, initialGuess_0, options);
initialGuess_0 = soln;
TEMP_ALGEBRAIC(:,74) = soln(1);
TEMP_ALGEBRAIC(:,75) = soln(2);
TEMP_ALGEBRAIC(:,76) = soln(3);
TEMP_ALGEBRAIC(:,77) = soln(4);
ALGEBRAIC(i,SET_ALGEBRAIC) = TEMP_ALGEBRAIC(SET_ALGEBRAIC);
end
end
end
function resid = residualSN_0(algebraicCandidate, ALGEBRAIC, VOI, CONSTANTS, STATES)
ALGEBRAIC(:,74) = algebraicCandidate(1);
ALGEBRAIC(:,75) = algebraicCandidate(2);
ALGEBRAIC(:,76) = algebraicCandidate(3);
ALGEBRAIC(:,77) = algebraicCandidate(4);
resid(1) = ALGEBRAIC(:,74) - piecewise({ALGEBRAIC(:,75)>0.000000, CONSTANTS(:,152) }, CONSTANTS(:,153));
resid(2) = ALGEBRAIC(:,76) - (CONSTANTS(:,154)./ALGEBRAIC(:,74)).*STATES(:,32).*CONSTANTS(:,150);
resid(3) = ALGEBRAIC(:,77) - (CONSTANTS(:,154)./ALGEBRAIC(:,74)).*(STATES(:,9) - CONSTANTS(:,141)).*CONSTANTS(:,150);
resid(4) = ALGEBRAIC(:,75) - ( - ALGEBRAIC(:,76)+ALGEBRAIC(:,77));
end
% Compute result of a piecewise function
function x = piecewise(cases, default)
set = [0];
for i = 1:2:length(cases)
if (length(cases{i+1}) == 1)
x(cases{i} & ~set,:) = cases{i+1};
else
x(cases{i} & ~set,:) = cases{i+1}(cases{i} & ~set);
end
set = set | cases{i};
if(set), break, end
end
if (length(default) == 1)
x(~set,:) = default;
else
x(~set,:) = default(~set);
end
end
% Pad out or shorten strings to a set length
function strout = strpad(strin)
req_length = 160;
insize = size(strin,2);
if insize > req_length
strout = strin(1:req_length);
else
strout = [strin, blanks(req_length - insize)];
end
end
