Generated Code
The following is matlab code generated by the CellML API from this CellML file. (Back to language selection)
The raw code is available.
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 =62;
end
% There are a total of 31 entries in each of the rate and state variable arrays.
% There are a total of 70 entries in the constant variable array.
%
function [VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel()
% 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, 10];
% Set numerical accuracy options for ODE solver
options = odeset('RelTol', 1e-06, 'AbsTol', 1e-06, 'MaxStep', 1);
% 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);
% Plot state variables against variable of integration
[LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends();
figure();
plot(VOI, STATES);
xlabel(LEGEND_VOI);
l = legend(LEGEND_STATES);
set(l,'Interpreter','none');
end
function [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends()
LEGEND_STATES = ''; LEGEND_ALGEBRAIC = ''; LEGEND_VOI = ''; LEGEND_CONSTANTS = '';
LEGEND_VOI = strpad('time in component environment (ms)');
LEGEND_STATES(:,1) = strpad('V in component membrane (mV)');
LEGEND_CONSTANTS(:,1) = strpad('R in component membrane (gas_constant_units)');
LEGEND_CONSTANTS(:,2) = strpad('T in component membrane (kelvin)');
LEGEND_CONSTANTS(:,3) = strpad('F in component membrane (faradays_constant_units)');
LEGEND_ALGEBRAIC(:,16) = strpad('i_Na in component fast_sodium_current (uA_per_mm2)');
LEGEND_ALGEBRAIC(:,20) = strpad('i_Ca_L_Ca in component L_type_Ca_channel (uA_per_mm2)');
LEGEND_ALGEBRAIC(:,22) = strpad('i_Ca_L_K in component L_type_Ca_channel (uA_per_mm2)');
LEGEND_ALGEBRAIC(:,26) = strpad('i_K in component time_dependent_potassium_current (uA_per_mm2)');
LEGEND_ALGEBRAIC(:,32) = strpad('i_K1 in component time_independent_potassium_current (uA_per_mm2)');
LEGEND_ALGEBRAIC(:,36) = strpad('i_NaCa in component Na_Ca_exchanger (uA_per_mm2)');
LEGEND_ALGEBRAIC(:,35) = strpad('i_Kp in component plateau_potassium_current (uA_per_mm2)');
LEGEND_ALGEBRAIC(:,37) = strpad('i_p_Ca in component sarcolemmal_calcium_pump (uA_per_mm2)');
LEGEND_ALGEBRAIC(:,39) = strpad('i_Na_b in component sodium_background_current (uA_per_mm2)');
LEGEND_ALGEBRAIC(:,41) = strpad('i_Ca_b in component calcium_background_current (uA_per_mm2)');
LEGEND_ALGEBRAIC(:,44) = strpad('i_NaK in component sodium_potassium_pump (uA_per_mm2)');
LEGEND_ALGEBRAIC(:,61) = strpad('i_ns_Ca in component non_specific_calcium_activated_current (uA_per_mm2)');
LEGEND_CONSTANTS(:,4) = strpad('Cm in component membrane (uF_per_mm2)');
LEGEND_ALGEBRAIC(:,7) = strpad('I_stim in component membrane (uA_per_mm2)');
LEGEND_CONSTANTS(:,5) = strpad('stim_start in component membrane (ms)');
LEGEND_CONSTANTS(:,6) = strpad('stim_end in component membrane (ms)');
LEGEND_CONSTANTS(:,7) = strpad('stim_period in component membrane (ms)');
LEGEND_CONSTANTS(:,8) = strpad('stim_duration in component membrane (ms)');
LEGEND_CONSTANTS(:,9) = strpad('stim_amplitude in component membrane (uA_per_mm2)');
LEGEND_ALGEBRAIC(:,14) = strpad('E_Na in component fast_sodium_current (mV)');
LEGEND_CONSTANTS(:,10) = strpad('g_Na in component fast_sodium_current (mS_per_mm2)');
LEGEND_STATES(:,2) = strpad('Nai in component ionic_concentrations (mM)');
LEGEND_CONSTANTS(:,11) = strpad('Nao in component ionic_concentrations (mM)');
LEGEND_STATES(:,3) = strpad('m in component fast_sodium_current_m_gate (dimensionless)');
LEGEND_STATES(:,4) = strpad('h in component fast_sodium_current_h_gate (dimensionless)');
LEGEND_STATES(:,5) = strpad('j in component fast_sodium_current_j_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,1) = strpad('alpha_m in component fast_sodium_current_m_gate (per_ms)');
LEGEND_ALGEBRAIC(:,8) = strpad('beta_m in component fast_sodium_current_m_gate (per_ms)');
LEGEND_ALGEBRAIC(:,2) = strpad('alpha_h in component fast_sodium_current_h_gate (per_ms)');
LEGEND_ALGEBRAIC(:,9) = strpad('beta_h in component fast_sodium_current_h_gate (per_ms)');
LEGEND_ALGEBRAIC(:,3) = strpad('alpha_j in component fast_sodium_current_j_gate (per_ms)');
LEGEND_ALGEBRAIC(:,10) = strpad('beta_j in component fast_sodium_current_j_gate (per_ms)');
LEGEND_CONSTANTS(:,12) = strpad('P_Ca in component L_type_Ca_channel (mm_per_ms)');
LEGEND_CONSTANTS(:,13) = strpad('P_K in component L_type_Ca_channel (mm_per_ms)');
LEGEND_ALGEBRAIC(:,21) = strpad('p_k in component L_type_Ca_channel (mm_per_ms)');
LEGEND_CONSTANTS(:,14) = strpad('i_Ca_L_Ca_half in component L_type_Ca_channel (uA_per_mm2)');
LEGEND_ALGEBRAIC(:,18) = strpad('i_Ca_L_Ca_max in component L_type_Ca_channel (uA_per_mm2)');
LEGEND_STATES(:,6) = strpad('O in component L_type_Ca_channel (dimensionless)');
LEGEND_STATES(:,7) = strpad('O_Ca in component L_type_Ca_channel (dimensionless)');
LEGEND_ALGEBRAIC(:,4) = strpad('alpha in component L_type_Ca_channel (per_ms)');
LEGEND_ALGEBRAIC(:,11) = strpad('beta in component L_type_Ca_channel (per_ms)');
LEGEND_ALGEBRAIC(:,19) = strpad('gamma in component L_type_Ca_channel (per_ms)');
LEGEND_ALGEBRAIC(:,15) = strpad('alpha_a in component L_type_Ca_channel (per_ms)');
LEGEND_ALGEBRAIC(:,17) = strpad('beta_b in component L_type_Ca_channel (per_ms)');
LEGEND_CONSTANTS(:,15) = strpad('a in component L_type_Ca_channel (dimensionless)');
LEGEND_CONSTANTS(:,16) = strpad('b in component L_type_Ca_channel (dimensionless)');
LEGEND_CONSTANTS(:,17) = strpad('g in component L_type_Ca_channel (per_ms)');
LEGEND_CONSTANTS(:,18) = strpad('f in component L_type_Ca_channel (per_ms)');
LEGEND_CONSTANTS(:,19) = strpad('g_ in component L_type_Ca_channel (per_ms)');
LEGEND_CONSTANTS(:,20) = strpad('f_ in component L_type_Ca_channel (per_ms)');
LEGEND_CONSTANTS(:,21) = strpad('omega in component L_type_Ca_channel (per_ms)');
LEGEND_STATES(:,8) = strpad('C0 in component L_type_Ca_channel (dimensionless)');
LEGEND_STATES(:,9) = strpad('C1 in component L_type_Ca_channel (dimensionless)');
LEGEND_STATES(:,10) = strpad('C2 in component L_type_Ca_channel (dimensionless)');
LEGEND_STATES(:,11) = strpad('C3 in component L_type_Ca_channel (dimensionless)');
LEGEND_STATES(:,12) = strpad('C4 in component L_type_Ca_channel (dimensionless)');
LEGEND_STATES(:,13) = strpad('C_Ca0 in component L_type_Ca_channel (dimensionless)');
LEGEND_STATES(:,14) = strpad('C_Ca1 in component L_type_Ca_channel (dimensionless)');
LEGEND_STATES(:,15) = strpad('C_Ca2 in component L_type_Ca_channel (dimensionless)');
LEGEND_STATES(:,16) = strpad('C_Ca3 in component L_type_Ca_channel (dimensionless)');
LEGEND_STATES(:,17) = strpad('C_Ca4 in component L_type_Ca_channel (dimensionless)');
LEGEND_STATES(:,18) = strpad('Ca_SS in component calcium_subsystem (mM)');
LEGEND_CONSTANTS(:,22) = strpad('Cao in component ionic_concentrations (mM)');
LEGEND_STATES(:,19) = strpad('Ko in component ionic_concentrations (mM)');
LEGEND_STATES(:,20) = strpad('Ki in component ionic_concentrations (mM)');
LEGEND_STATES(:,21) = strpad('y in component L_type_Ca_channel_y_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,5) = strpad('y_infinity in component L_type_Ca_channel_y_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,12) = strpad('tau_y in component L_type_Ca_channel_y_gate (ms)');
LEGEND_ALGEBRAIC(:,23) = strpad('g_K in component time_dependent_potassium_current (mS_per_mm2)');
LEGEND_CONSTANTS(:,23) = strpad('g_K_max in component time_dependent_potassium_current (mS_per_mm2)');
LEGEND_ALGEBRAIC(:,24) = strpad('E_K in component time_dependent_potassium_current (mV)');
LEGEND_CONSTANTS(:,24) = strpad('P_NaK in component time_dependent_potassium_current (dimensionless)');
LEGEND_STATES(:,22) = strpad('X in component time_dependent_potassium_current_X_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,25) = strpad('Xi in component time_dependent_potassium_current_Xi_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,6) = strpad('alpha_X in component time_dependent_potassium_current_X_gate (per_ms)');
LEGEND_ALGEBRAIC(:,13) = strpad('beta_X in component time_dependent_potassium_current_X_gate (per_ms)');
LEGEND_ALGEBRAIC(:,28) = strpad('E_K1 in component time_independent_potassium_current (mV)');
LEGEND_ALGEBRAIC(:,27) = strpad('g_K1 in component time_independent_potassium_current (mS_per_mm2)');
LEGEND_CONSTANTS(:,25) = strpad('g_K1_max in component time_independent_potassium_current (mS_per_mm2)');
LEGEND_ALGEBRAIC(:,31) = strpad('K1_infinity in component time_independent_potassium_current_K1_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,29) = strpad('alpha_K1 in component time_independent_potassium_current_K1_gate (per_ms)');
LEGEND_ALGEBRAIC(:,30) = strpad('beta_K1 in component time_independent_potassium_current_K1_gate (per_ms)');
LEGEND_ALGEBRAIC(:,33) = strpad('E_Kp in component plateau_potassium_current (mV)');
LEGEND_CONSTANTS(:,26) = strpad('g_Kp in component plateau_potassium_current (mS_per_mm2)');
LEGEND_ALGEBRAIC(:,34) = strpad('Kp in component plateau_potassium_current (dimensionless)');
LEGEND_CONSTANTS(:,27) = strpad('k_NaCa in component Na_Ca_exchanger (uA_per_mm2)');
LEGEND_CONSTANTS(:,28) = strpad('K_mNa in component Na_Ca_exchanger (mM)');
LEGEND_CONSTANTS(:,29) = strpad('K_mCa in component Na_Ca_exchanger (mM)');
LEGEND_CONSTANTS(:,30) = strpad('k_sat in component Na_Ca_exchanger (dimensionless)');
LEGEND_CONSTANTS(:,31) = strpad('eta in component Na_Ca_exchanger (dimensionless)');
LEGEND_STATES(:,23) = strpad('Cai in component calcium_subsystem (mM)');
LEGEND_CONSTANTS(:,32) = strpad('K_mpCa in component sarcolemmal_calcium_pump (mM)');
LEGEND_CONSTANTS(:,33) = strpad('I_pCa in component sarcolemmal_calcium_pump (uA_per_mm2)');
LEGEND_CONSTANTS(:,34) = strpad('g_Nab in component sodium_background_current (mS_per_mm2)');
LEGEND_ALGEBRAIC(:,38) = strpad('E_NaN in component sodium_background_current (mV)');
LEGEND_CONSTANTS(:,35) = strpad('g_Cab in component calcium_background_current (mS_per_mm2)');
LEGEND_ALGEBRAIC(:,40) = strpad('E_CaN in component calcium_background_current (mV)');
LEGEND_CONSTANTS(:,36) = strpad('I_NaK in component sodium_potassium_pump (uA_per_mm2)');
LEGEND_ALGEBRAIC(:,42) = strpad('f_NaK in component sodium_potassium_pump (dimensionless)');
LEGEND_CONSTANTS(:,37) = strpad('K_mNai in component sodium_potassium_pump (mM)');
LEGEND_CONSTANTS(:,38) = strpad('K_mKo in component sodium_potassium_pump (mM)');
LEGEND_CONSTANTS(:,67) = strpad('sigma in component sodium_potassium_pump (dimensionless)');
LEGEND_ALGEBRAIC(:,53) = strpad('i_ns_Na in component non_specific_calcium_activated_current (uA_per_mm2)');
LEGEND_ALGEBRAIC(:,59) = strpad('i_ns_K in component non_specific_calcium_activated_current (uA_per_mm2)');
LEGEND_ALGEBRAIC(:,50) = strpad('I_ns_Na in component non_specific_calcium_activated_current (uA_per_mm2)');
LEGEND_ALGEBRAIC(:,57) = strpad('I_ns_K in component non_specific_calcium_activated_current (uA_per_mm2)');
LEGEND_CONSTANTS(:,39) = strpad('K_m_ns_Ca in component non_specific_calcium_activated_current (mM)');
LEGEND_CONSTANTS(:,40) = strpad('P_ns_Ca in component non_specific_calcium_activated_current (mm_per_ms)');
LEGEND_ALGEBRAIC(:,46) = strpad('EnsCa in component non_specific_calcium_activated_current (mV)');
LEGEND_ALGEBRAIC(:,48) = strpad('VnsCa in component non_specific_calcium_activated_current (mV)');
LEGEND_CONSTANTS(:,41) = strpad('Am in component calcium_subsystem (per_mm)');
LEGEND_CONSTANTS(:,42) = strpad('V_myo in component calcium_subsystem (dimensionless)');
LEGEND_ALGEBRAIC(:,43) = strpad('RyR_open in component calcium_subsystem (dimensionless)');
LEGEND_STATES(:,24) = strpad('P_O1 in component calcium_subsystem (dimensionless)');
LEGEND_STATES(:,25) = strpad('P_O2 in component calcium_subsystem (dimensionless)');
LEGEND_STATES(:,26) = strpad('P_C1 in component calcium_subsystem (dimensionless)');
LEGEND_STATES(:,27) = strpad('P_C2 in component calcium_subsystem (dimensionless)');
LEGEND_CONSTANTS(:,43) = strpad('v1 in component calcium_subsystem (per_ms)');
LEGEND_CONSTANTS(:,44) = strpad('v2 in component calcium_subsystem (per_ms)');
LEGEND_CONSTANTS(:,45) = strpad('v3 in component calcium_subsystem (mM_per_ms)');
LEGEND_CONSTANTS(:,46) = strpad('nCa in component calcium_subsystem (dimensionless)');
LEGEND_CONSTANTS(:,47) = strpad('mCa in component calcium_subsystem (dimensionless)');
LEGEND_CONSTANTS(:,48) = strpad('k_a_plus in component calcium_subsystem (per_mM4_per_ms)');
LEGEND_CONSTANTS(:,49) = strpad('k_a_minus in component calcium_subsystem (per_ms)');
LEGEND_CONSTANTS(:,50) = strpad('k_b_plus in component calcium_subsystem (per_mM3_per_ms)');
LEGEND_CONSTANTS(:,51) = strpad('k_b_minus in component calcium_subsystem (per_ms)');
LEGEND_CONSTANTS(:,52) = strpad('k_c_plus in component calcium_subsystem (per_ms)');
LEGEND_CONSTANTS(:,53) = strpad('k_c_minus in component calcium_subsystem (per_ms)');
LEGEND_CONSTANTS(:,54) = strpad('k_htrpn_plus in component calcium_subsystem (per_mM_per_ms)');
LEGEND_CONSTANTS(:,55) = strpad('k_htrpn_minus in component calcium_subsystem (per_ms)');
LEGEND_CONSTANTS(:,56) = strpad('k_ltrpn_plus in component calcium_subsystem (per_mM_per_ms)');
LEGEND_CONSTANTS(:,57) = strpad('k_ltrpn_minus in component calcium_subsystem (per_ms)');
LEGEND_CONSTANTS(:,58) = strpad('tau_tr in component calcium_subsystem (ms)');
LEGEND_STATES(:,28) = strpad('Ca_JSR in component calcium_subsystem (mM)');
LEGEND_STATES(:,29) = strpad('Ca_NSR in component calcium_subsystem (mM)');
LEGEND_CONSTANTS(:,70) = strpad('V_JSR in component calcium_subsystem (dimensionless)');
LEGEND_CONSTANTS(:,69) = strpad('V_NSR in component calcium_subsystem (dimensionless)');
LEGEND_CONSTANTS(:,68) = strpad('V_SS in component calcium_subsystem (dimensionless)');
LEGEND_CONSTANTS(:,59) = strpad('K_mup in component calcium_subsystem (mM)');
LEGEND_CONSTANTS(:,60) = strpad('K_mCMDN in component calcium_subsystem (mM)');
LEGEND_CONSTANTS(:,61) = strpad('K_mCSQN in component calcium_subsystem (mM)');
LEGEND_CONSTANTS(:,62) = strpad('tau_xfer in component calcium_subsystem (ms)');
LEGEND_CONSTANTS(:,63) = strpad('HTRPN_tot in component calcium_subsystem (mM)');
LEGEND_CONSTANTS(:,64) = strpad('LTRPN_tot in component calcium_subsystem (mM)');
LEGEND_STATES(:,30) = strpad('HTRPNCa in component calcium_subsystem (mM)');
LEGEND_STATES(:,31) = strpad('LTRPNCa in component calcium_subsystem (mM)');
LEGEND_CONSTANTS(:,65) = strpad('CSQN_tot in component calcium_subsystem (mM)');
LEGEND_CONSTANTS(:,66) = strpad('CMDN_tot in component calcium_subsystem (mM)');
LEGEND_ALGEBRAIC(:,62) = strpad('Bi in component calcium_subsystem (dimensionless)');
LEGEND_ALGEBRAIC(:,54) = strpad('B_SS in component calcium_subsystem (dimensionless)');
LEGEND_ALGEBRAIC(:,55) = strpad('B_JSR in component calcium_subsystem (dimensionless)');
LEGEND_ALGEBRAIC(:,45) = strpad('J_rel in component calcium_subsystem (mM_per_ms)');
LEGEND_ALGEBRAIC(:,47) = strpad('J_leak in component calcium_subsystem (mM_per_ms)');
LEGEND_ALGEBRAIC(:,49) = strpad('J_up in component calcium_subsystem (mM_per_ms)');
LEGEND_ALGEBRAIC(:,51) = strpad('J_tr in component calcium_subsystem (mM_per_ms)');
LEGEND_ALGEBRAIC(:,52) = strpad('J_xfer in component calcium_subsystem (mM_per_ms)');
LEGEND_ALGEBRAIC(:,60) = strpad('J_trpn in component calcium_subsystem (mM_per_ms)');
LEGEND_ALGEBRAIC(:,56) = strpad('J_htrpn in component calcium_subsystem (mM_per_ms)');
LEGEND_ALGEBRAIC(:,58) = strpad('J_ltrpn in component calcium_subsystem (mM_per_ms)');
LEGEND_RATES(:,1) = strpad('d/dt V in component membrane (mV)');
LEGEND_RATES(:,3) = strpad('d/dt m in component fast_sodium_current_m_gate (dimensionless)');
LEGEND_RATES(:,4) = strpad('d/dt h in component fast_sodium_current_h_gate (dimensionless)');
LEGEND_RATES(:,5) = strpad('d/dt j in component fast_sodium_current_j_gate (dimensionless)');
LEGEND_RATES(:,8) = strpad('d/dt C0 in component L_type_Ca_channel (dimensionless)');
LEGEND_RATES(:,9) = strpad('d/dt C1 in component L_type_Ca_channel (dimensionless)');
LEGEND_RATES(:,10) = strpad('d/dt C2 in component L_type_Ca_channel (dimensionless)');
LEGEND_RATES(:,11) = strpad('d/dt C3 in component L_type_Ca_channel (dimensionless)');
LEGEND_RATES(:,12) = strpad('d/dt C4 in component L_type_Ca_channel (dimensionless)');
LEGEND_RATES(:,6) = strpad('d/dt O in component L_type_Ca_channel (dimensionless)');
LEGEND_RATES(:,13) = strpad('d/dt C_Ca0 in component L_type_Ca_channel (dimensionless)');
LEGEND_RATES(:,14) = strpad('d/dt C_Ca1 in component L_type_Ca_channel (dimensionless)');
LEGEND_RATES(:,15) = strpad('d/dt C_Ca2 in component L_type_Ca_channel (dimensionless)');
LEGEND_RATES(:,16) = strpad('d/dt C_Ca3 in component L_type_Ca_channel (dimensionless)');
LEGEND_RATES(:,17) = strpad('d/dt C_Ca4 in component L_type_Ca_channel (dimensionless)');
LEGEND_RATES(:,7) = strpad('d/dt O_Ca in component L_type_Ca_channel (dimensionless)');
LEGEND_RATES(:,21) = strpad('d/dt y in component L_type_Ca_channel_y_gate (dimensionless)');
LEGEND_RATES(:,22) = strpad('d/dt X in component time_dependent_potassium_current_X_gate (dimensionless)');
LEGEND_RATES(:,26) = strpad('d/dt P_C1 in component calcium_subsystem (dimensionless)');
LEGEND_RATES(:,24) = strpad('d/dt P_O1 in component calcium_subsystem (dimensionless)');
LEGEND_RATES(:,25) = strpad('d/dt P_O2 in component calcium_subsystem (dimensionless)');
LEGEND_RATES(:,27) = strpad('d/dt P_C2 in component calcium_subsystem (dimensionless)');
LEGEND_RATES(:,30) = strpad('d/dt HTRPNCa in component calcium_subsystem (mM)');
LEGEND_RATES(:,31) = strpad('d/dt LTRPNCa in component calcium_subsystem (mM)');
LEGEND_RATES(:,23) = strpad('d/dt Cai in component calcium_subsystem (mM)');
LEGEND_RATES(:,18) = strpad('d/dt Ca_SS in component calcium_subsystem (mM)');
LEGEND_RATES(:,28) = strpad('d/dt Ca_JSR in component calcium_subsystem (mM)');
LEGEND_RATES(:,29) = strpad('d/dt Ca_NSR in component calcium_subsystem (mM)');
LEGEND_RATES(:,2) = strpad('d/dt Nai in component ionic_concentrations (mM)');
LEGEND_RATES(:,20) = strpad('d/dt Ki in component ionic_concentrations (mM)');
LEGEND_RATES(:,19) = strpad('d/dt Ko in component ionic_concentrations (mM)');
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 = [];
STATES(:,1) = -84.1638;
CONSTANTS(:,1) = 8.3145e3;
CONSTANTS(:,2) = 310;
CONSTANTS(:,3) = 9.6845e4;
CONSTANTS(:,4) = 0.01;
CONSTANTS(:,5) = 100;
CONSTANTS(:,6) = 10100;
CONSTANTS(:,7) = 500;
CONSTANTS(:,8) = 1;
CONSTANTS(:,9) = 0.516289;
CONSTANTS(:,10) = 0.128;
STATES(:,2) = 10.2042;
CONSTANTS(:,11) = 140;
STATES(:,3) = 0.0328302;
STATES(:,4) = 0.988354;
STATES(:,5) = 0.99254;
CONSTANTS(:,12) = 33.75e-6;
CONSTANTS(:,13) = 1e-9;
CONSTANTS(:,14) = -4.58e-3;
STATES(:,6) = 9.84546e-21;
STATES(:,7) = 0;
CONSTANTS(:,15) = 2;
CONSTANTS(:,16) = 2;
CONSTANTS(:,17) = 2;
CONSTANTS(:,18) = 0.3;
CONSTANTS(:,19) = 0;
CONSTANTS(:,20) = 0;
CONSTANTS(:,21) = 0.01;
STATES(:,8) = 0.997208;
STATES(:,9) = 6.38897e-5;
STATES(:,10) = 1.535e-9;
STATES(:,11) = 1.63909e-14;
STATES(:,12) = 6.56337e-20;
STATES(:,13) = 2.72826e-3;
STATES(:,14) = 6.99215e-7;
STATES(:,15) = 6.71989e-11;
STATES(:,16) = 2.87031e-15;
STATES(:,17) = 4.59752e-20;
STATES(:,18) = 1.36058e-4;
CONSTANTS(:,22) = 1.8;
STATES(:,19) = 5.4;
STATES(:,20) = 143.727;
STATES(:,21) = 0.998983;
CONSTANTS(:,23) = 0.001128;
CONSTANTS(:,24) = 0.01833;
STATES(:,22) = 0.000928836;
CONSTANTS(:,25) = 7.5e-3;
CONSTANTS(:,26) = 8.28e-5;
CONSTANTS(:,27) = 50;
CONSTANTS(:,28) = 87.5;
CONSTANTS(:,29) = 1.38;
CONSTANTS(:,30) = 0.1;
CONSTANTS(:,31) = 0.35;
STATES(:,23) = 9.94893e-11;
CONSTANTS(:,32) = 0.5e-3;
CONSTANTS(:,33) = 1.15e-2;
CONSTANTS(:,34) = 1.41e-5;
CONSTANTS(:,35) = 6.032e-5;
CONSTANTS(:,36) = 0.013;
CONSTANTS(:,37) = 10;
CONSTANTS(:,38) = 1.5;
CONSTANTS(:,39) = 1.2e-3;
CONSTANTS(:,40) = 1.75e-9;
CONSTANTS(:,41) = 546.69;
CONSTANTS(:,42) = 0.92;
STATES(:,24) = 1.19168e-3;
STATES(:,25) = 6.30613e-9;
STATES(:,26) = 0.762527;
STATES(:,27) = 0.236283;
CONSTANTS(:,43) = 1.8;
CONSTANTS(:,44) = 0.58e-4;
CONSTANTS(:,45) = 1.8e-3;
CONSTANTS(:,46) = 4;
CONSTANTS(:,47) = 3;
CONSTANTS(:,48) = 1.215e10;
CONSTANTS(:,49) = 0.1425;
CONSTANTS(:,50) = 4.05e7;
CONSTANTS(:,51) = 1.93;
CONSTANTS(:,52) = 0.018;
CONSTANTS(:,53) = 0.0008;
CONSTANTS(:,54) = 20;
CONSTANTS(:,55) = 0.066e-3;
CONSTANTS(:,56) = 40;
CONSTANTS(:,57) = 0.04;
CONSTANTS(:,58) = 34.48;
STATES(:,28) = 1.17504;
STATES(:,29) = 1.243891;
CONSTANTS(:,59) = 0.5e-3;
CONSTANTS(:,60) = 2.38e-3;
CONSTANTS(:,61) = 0.8;
CONSTANTS(:,62) = 3.125;
CONSTANTS(:,63) = 0.14;
CONSTANTS(:,64) = 0.07;
STATES(:,30) = 0.13598;
STATES(:,31) = 0.00635;
CONSTANTS(:,65) = 15;
CONSTANTS(:,66) = 0.05;
CONSTANTS(:,67) = (1.00000./7.00000).*(exp(CONSTANTS(:,11)./67.3000) - 1.00000);
CONSTANTS(:,68) = 5.82800e-05.*CONSTANTS(:,42);
CONSTANTS(:,69) = 0.0810000.*CONSTANTS(:,42);
CONSTANTS(:,70) = 0.00464000.*CONSTANTS(:,42);
if (isempty(STATES)), warning('Initial values for states not set');, end
end
function [RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS)
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(:,6) = CONSTANTS(:,18).*STATES(:,12) - CONSTANTS(:,17).*STATES(:,6);
RATES(:,7) = CONSTANTS(:,20).*STATES(:,17) - CONSTANTS(:,19).*STATES(:,7);
RATES(:,26) = - CONSTANTS(:,48).*power(STATES(:,18), CONSTANTS(:,46)).*STATES(:,26)+ CONSTANTS(:,49).*STATES(:,24);
RATES(:,24) = ( CONSTANTS(:,48).*power(STATES(:,18), CONSTANTS(:,46)).*STATES(:,26) - ( CONSTANTS(:,49).*STATES(:,24)+ CONSTANTS(:,50).*power(STATES(:,18), CONSTANTS(:,47)).*STATES(:,24)+ CONSTANTS(:,52).*STATES(:,24)))+ CONSTANTS(:,51).*STATES(:,25)+ CONSTANTS(:,53).*STATES(:,27);
RATES(:,25) = CONSTANTS(:,50).*power(STATES(:,18), CONSTANTS(:,47)).*STATES(:,24) - CONSTANTS(:,51).*STATES(:,25);
RATES(:,27) = CONSTANTS(:,52).*STATES(:,24) - CONSTANTS(:,53).*STATES(:,27);
ALGEBRAIC(:,1) = ( 0.320000.*(STATES(:,1)+47.1300))./(1.00000 - exp( - 0.100000.*(STATES(:,1)+47.1300)));
ALGEBRAIC(:,8) = 0.0800000.*exp( - STATES(:,1)./11.0000);
RATES(:,3) = ALGEBRAIC(:,1).*(1.00000 - STATES(:,3)) - ALGEBRAIC(:,8).*STATES(:,3);
ALGEBRAIC(:,2) = piecewise({STATES(:,1)< - 40.0000, 0.135000.*exp((80.0000+STATES(:,1))./ - 6.80000) }, 0.00000);
ALGEBRAIC(:,9) = piecewise({STATES(:,1)< - 40.0000, 3.56000.*exp( 0.0790000.*STATES(:,1))+ 310000..*exp( 0.350000.*STATES(:,1)) }, 1.00000./( 0.130000.*(1.00000+exp((STATES(:,1)+10.6600)./ - 11.1000))));
RATES(:,4) = ALGEBRAIC(:,2).*(1.00000 - STATES(:,4)) - ALGEBRAIC(:,9).*STATES(:,4);
ALGEBRAIC(:,3) = piecewise({STATES(:,1)< - 40.0000, ( ( - 127140..*exp( 0.244400.*STATES(:,1)) - 3.47400e-05.*exp( - 0.0439100.*STATES(:,1))).*(STATES(:,1)+37.7800))./(1.00000+exp( 0.311000.*(STATES(:,1)+79.2300))) }, 0.00000);
ALGEBRAIC(:,10) = piecewise({STATES(:,1)< - 40.0000, ( 0.121200.*exp( - 0.0105200.*STATES(:,1)))./(1.00000+exp( - 0.137800.*(STATES(:,1)+40.1400))) }, ( 0.300000.*exp( - 2.53500e-07.*STATES(:,1)))./(1.00000+exp( - 0.100000.*(STATES(:,1)+32.0000))));
RATES(:,5) = ALGEBRAIC(:,3).*(1.00000 - STATES(:,5)) - ALGEBRAIC(:,10).*STATES(:,5);
ALGEBRAIC(:,5) = 1.00000./(1.00000+exp((STATES(:,1)+55.0000)./7.50000))+0.100000./(1.00000+exp(( - STATES(:,1)+21.0000)./6.00000));
ALGEBRAIC(:,12) = 20.0000+600.000./(1.00000+exp((STATES(:,1)+30.0000)./9.50000));
RATES(:,21) = (ALGEBRAIC(:,5) - STATES(:,21))./ALGEBRAIC(:,12);
ALGEBRAIC(:,6) = ( 7.19000e-05.*(STATES(:,1)+30.0000))./(1.00000 - exp( - 0.148000.*(STATES(:,1)+30.0000)));
ALGEBRAIC(:,13) = ( 0.000131000.*(STATES(:,1)+30.0000))./( - 1.00000+exp( 0.0687000.*(STATES(:,1)+30.0000)));
RATES(:,22) = ALGEBRAIC(:,6).*(1.00000 - STATES(:,22)) - ALGEBRAIC(:,13).*STATES(:,22);
ALGEBRAIC(:,4) = 0.400000.*exp((STATES(:,1)+12.0000)./10.0000);
ALGEBRAIC(:,11) = 0.0500000.*exp((STATES(:,1)+12.0000)./ - 13.0000);
ALGEBRAIC(:,19) = ( 0.187500.*STATES(:,18))./1.00000;
RATES(:,8) = ( ALGEBRAIC(:,11).*STATES(:,9)+ CONSTANTS(:,21).*STATES(:,13)) - ( 4.00000.*ALGEBRAIC(:,4)+ALGEBRAIC(:,19)).*STATES(:,8);
RATES(:,9) = ( 4.00000.*ALGEBRAIC(:,4).*STATES(:,8)+ 2.00000.*ALGEBRAIC(:,11).*STATES(:,10)+ (CONSTANTS(:,21)./CONSTANTS(:,16)).*STATES(:,14)) - (ALGEBRAIC(:,11)+ 3.00000.*ALGEBRAIC(:,4)+ ALGEBRAIC(:,19).*CONSTANTS(:,15)).*STATES(:,9);
RATES(:,10) = ( 3.00000.*ALGEBRAIC(:,4).*STATES(:,9)+ 3.00000.*ALGEBRAIC(:,11).*STATES(:,11)+ (CONSTANTS(:,21)./power(CONSTANTS(:,16), 2.00000)).*STATES(:,15)) - ( ALGEBRAIC(:,11).*2.00000+ 2.00000.*ALGEBRAIC(:,4)+ ALGEBRAIC(:,19).*power(CONSTANTS(:,15), 2.00000)).*STATES(:,10);
RATES(:,11) = ( 2.00000.*ALGEBRAIC(:,4).*STATES(:,10)+ 4.00000.*ALGEBRAIC(:,11).*STATES(:,12)+ (CONSTANTS(:,21)./power(CONSTANTS(:,16), 3.00000)).*STATES(:,16)) - ( ALGEBRAIC(:,11).*3.00000+ALGEBRAIC(:,4)+ ALGEBRAIC(:,19).*power(CONSTANTS(:,15), 3.00000)).*STATES(:,11);
RATES(:,12) = ( ALGEBRAIC(:,4).*STATES(:,11)+ CONSTANTS(:,17).*STATES(:,6)+ (CONSTANTS(:,21)./power(CONSTANTS(:,16), 4.00000)).*STATES(:,17)) - ( ALGEBRAIC(:,11).*4.00000+CONSTANTS(:,18)+ ALGEBRAIC(:,19).*power(CONSTANTS(:,15), 4.00000)).*STATES(:,12);
ALGEBRAIC(:,15) = ALGEBRAIC(:,4).*CONSTANTS(:,15);
ALGEBRAIC(:,17) = ALGEBRAIC(:,11)./CONSTANTS(:,16);
RATES(:,13) = ( ALGEBRAIC(:,17).*STATES(:,14)+ ALGEBRAIC(:,19).*STATES(:,8)) - ( 4.00000.*ALGEBRAIC(:,15)+CONSTANTS(:,21)).*STATES(:,13);
RATES(:,14) = ( 4.00000.*ALGEBRAIC(:,15).*STATES(:,13)+ 2.00000.*ALGEBRAIC(:,17).*STATES(:,15)+ ALGEBRAIC(:,19).*CONSTANTS(:,15).*STATES(:,9)) - (ALGEBRAIC(:,17)+ 3.00000.*ALGEBRAIC(:,15)+CONSTANTS(:,21)./CONSTANTS(:,16)).*STATES(:,14);
RATES(:,15) = ( 3.00000.*ALGEBRAIC(:,15).*STATES(:,14)+ 3.00000.*ALGEBRAIC(:,17).*STATES(:,16)+ ALGEBRAIC(:,19).*power(CONSTANTS(:,15), 2.00000).*STATES(:,10)) - ( ALGEBRAIC(:,17).*2.00000+ 2.00000.*ALGEBRAIC(:,15)+CONSTANTS(:,21)./power(CONSTANTS(:,16), 2.00000)).*STATES(:,15);
RATES(:,16) = ( 2.00000.*ALGEBRAIC(:,15).*STATES(:,15)+ 4.00000.*ALGEBRAIC(:,17).*STATES(:,17)+ ALGEBRAIC(:,19).*power(CONSTANTS(:,15), 3.00000).*STATES(:,11)) - ( ALGEBRAIC(:,17).*3.00000+ALGEBRAIC(:,15)+CONSTANTS(:,21)./power(CONSTANTS(:,16), 3.00000)).*STATES(:,16);
RATES(:,17) = ( ALGEBRAIC(:,15).*STATES(:,16)+ CONSTANTS(:,19).*STATES(:,7)+ ALGEBRAIC(:,19).*power(CONSTANTS(:,15), 4.00000).*STATES(:,12)) - ( ALGEBRAIC(:,17).*4.00000+CONSTANTS(:,20)+CONSTANTS(:,21)./power(CONSTANTS(:,16), 4.00000)).*STATES(:,17);
ALGEBRAIC(:,47) = CONSTANTS(:,44).*(STATES(:,29) - STATES(:,23));
ALGEBRAIC(:,49) = ( CONSTANTS(:,45).*power(STATES(:,23), 2.00000))./(power(CONSTANTS(:,59), 2.00000)+power(STATES(:,23), 2.00000));
ALGEBRAIC(:,51) = (STATES(:,29) - STATES(:,28))./CONSTANTS(:,58);
RATES(:,29) = ( (ALGEBRAIC(:,49) - ALGEBRAIC(:,47)).*CONSTANTS(:,42))./CONSTANTS(:,69) - ( ALGEBRAIC(:,51).*CONSTANTS(:,70))./CONSTANTS(:,69);
ALGEBRAIC(:,56) = CONSTANTS(:,54).*STATES(:,23).*(CONSTANTS(:,63) - STATES(:,30)) - CONSTANTS(:,55).*STATES(:,30);
RATES(:,30) = ALGEBRAIC(:,56);
ALGEBRAIC(:,18) = ( (( CONSTANTS(:,12).*4.00000.*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( 0.00100000.*exp(( 2.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 0.341000.*CONSTANTS(:,22)))./(exp(( 2.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
ALGEBRAIC(:,20) = ALGEBRAIC(:,18).*STATES(:,21).*(STATES(:,6)+STATES(:,7));
ALGEBRAIC(:,54) = 1.00000./(1.00000+( CONSTANTS(:,66).*CONSTANTS(:,60))./power(CONSTANTS(:,60)+STATES(:,18), 2.00000));
ALGEBRAIC(:,43) = STATES(:,24)+STATES(:,25);
ALGEBRAIC(:,45) = CONSTANTS(:,43).*ALGEBRAIC(:,43).*(STATES(:,28) - STATES(:,18));
ALGEBRAIC(:,52) = (STATES(:,18) - STATES(:,23))./CONSTANTS(:,62);
RATES(:,18) = ALGEBRAIC(:,54).*((( ALGEBRAIC(:,45).*CONSTANTS(:,70))./CONSTANTS(:,68) - ( ALGEBRAIC(:,52).*CONSTANTS(:,42))./CONSTANTS(:,68)) - ( ALGEBRAIC(:,20).*CONSTANTS(:,41))./( 2.00000.*CONSTANTS(:,68).*CONSTANTS(:,3)));
ALGEBRAIC(:,55) = 1.00000./(1.00000+( CONSTANTS(:,65).*CONSTANTS(:,61))./power(CONSTANTS(:,61)+STATES(:,28), 2.00000));
RATES(:,28) = ALGEBRAIC(:,55).*(ALGEBRAIC(:,51) - ALGEBRAIC(:,45));
ALGEBRAIC(:,14) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,11)./STATES(:,2));
ALGEBRAIC(:,16) = CONSTANTS(:,10).*power(STATES(:,3), 3.00000).*STATES(:,4).*STATES(:,5).*(STATES(:,1) - ALGEBRAIC(:,14));
ALGEBRAIC(:,36) = (( (( (( CONSTANTS(:,27).*1.00000)./(power(CONSTANTS(:,28), 3.00000)+power(CONSTANTS(:,11), 3.00000))).*1.00000)./(CONSTANTS(:,29)+CONSTANTS(:,22))).*1.00000)./(1.00000+ CONSTANTS(:,30).*exp(( (CONSTANTS(:,31) - 1.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( exp(( CONSTANTS(:,31).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(STATES(:,2), 3.00000).*CONSTANTS(:,22) - exp(( (CONSTANTS(:,31) - 1.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(CONSTANTS(:,11), 3.00000).*STATES(:,23));
ALGEBRAIC(:,38) = ALGEBRAIC(:,14);
ALGEBRAIC(:,39) = CONSTANTS(:,34).*(STATES(:,1) - ALGEBRAIC(:,38));
ALGEBRAIC(:,42) = 1.00000./(1.00000+ 0.124500.*exp(( - 0.100000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))+ 0.0365000.*CONSTANTS(:,67).*exp(( - STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,44) = ( (( CONSTANTS(:,36).*ALGEBRAIC(:,42).*1.00000)./(1.00000+power(CONSTANTS(:,37)./STATES(:,2), 1.50000))).*STATES(:,19))./(STATES(:,19)+CONSTANTS(:,38));
ALGEBRAIC(:,46) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log((STATES(:,19)+CONSTANTS(:,11))./(STATES(:,20)+STATES(:,2)));
ALGEBRAIC(:,48) = STATES(:,1) - ALGEBRAIC(:,46);
ALGEBRAIC(:,50) = ( (( CONSTANTS(:,40).*power(1.00000, 2.00000).*ALGEBRAIC(:,48).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( 0.750000.*STATES(:,2).*exp(( ALGEBRAIC(:,48).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 0.750000.*CONSTANTS(:,11)))./(exp(( ALGEBRAIC(:,48).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
ALGEBRAIC(:,53) = ( ALGEBRAIC(:,50).*1.00000)./(1.00000+power(CONSTANTS(:,39)./STATES(:,23), 3.00000));
RATES(:,2) = ( - (ALGEBRAIC(:,16)+ALGEBRAIC(:,39)+ALGEBRAIC(:,53)+ ALGEBRAIC(:,36).*3.00000+ ALGEBRAIC(:,44).*3.00000).*CONSTANTS(:,41))./( CONSTANTS(:,42).*CONSTANTS(:,3));
ALGEBRAIC(:,58) = CONSTANTS(:,56).*STATES(:,23).*(CONSTANTS(:,64) - STATES(:,31)) - CONSTANTS(:,57).*STATES(:,31);
RATES(:,31) = ALGEBRAIC(:,58);
ALGEBRAIC(:,21) = CONSTANTS(:,13)./(1.00000+ALGEBRAIC(:,18)./CONSTANTS(:,14));
ALGEBRAIC(:,22) = ( (( ALGEBRAIC(:,21).*STATES(:,21).*(STATES(:,6)+STATES(:,7)).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( STATES(:,20).*exp(( STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - STATES(:,19)))./(exp(( STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
ALGEBRAIC(:,23) = CONSTANTS(:,23).*power((STATES(:,19)./5.40000), 1.0 ./ 2);
ALGEBRAIC(:,24) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log((STATES(:,19)+ CONSTANTS(:,24).*CONSTANTS(:,11))./(STATES(:,20)+ CONSTANTS(:,24).*STATES(:,2)));
ALGEBRAIC(:,25) = 1.00000./(1.00000+exp((STATES(:,1) - 56.2600)./32.1000));
ALGEBRAIC(:,26) = ALGEBRAIC(:,23).*ALGEBRAIC(:,25).*power(STATES(:,22), 2.00000).*(STATES(:,1) - ALGEBRAIC(:,24));
ALGEBRAIC(:,28) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(STATES(:,19)./STATES(:,20));
ALGEBRAIC(:,27) = CONSTANTS(:,25).*power((STATES(:,19)./5.40000), 1.0 ./ 2);
ALGEBRAIC(:,29) = 1.02000./(1.00000+exp( 0.238500.*((STATES(:,1) - ALGEBRAIC(:,28)) - 59.2150)));
ALGEBRAIC(:,30) = ( 0.491240.*(exp( 0.0803200.*((STATES(:,1)+5.47600) - ALGEBRAIC(:,28)))+exp( 0.0617500.*(STATES(:,1) - (ALGEBRAIC(:,28)+594.310)))))./(1.00000+exp( - 0.514300.*((STATES(:,1) - ALGEBRAIC(:,28))+4.75300)));
ALGEBRAIC(:,31) = ALGEBRAIC(:,29)./(ALGEBRAIC(:,29)+ALGEBRAIC(:,30));
ALGEBRAIC(:,32) = ALGEBRAIC(:,27).*ALGEBRAIC(:,31).*(STATES(:,1) - ALGEBRAIC(:,28));
ALGEBRAIC(:,33) = ALGEBRAIC(:,28);
ALGEBRAIC(:,34) = 1.00000./(1.00000+exp((7.48800 - STATES(:,1))./5.98000));
ALGEBRAIC(:,35) = CONSTANTS(:,26).*ALGEBRAIC(:,34).*(STATES(:,1) - ALGEBRAIC(:,33));
ALGEBRAIC(:,57) = ( (( CONSTANTS(:,40).*power(1.00000, 2.00000).*ALGEBRAIC(:,48).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( 0.750000.*STATES(:,20).*exp(( ALGEBRAIC(:,48).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 0.750000.*STATES(:,19)))./(exp(( ALGEBRAIC(:,48).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
ALGEBRAIC(:,59) = ( ALGEBRAIC(:,57).*1.00000)./(1.00000+power(CONSTANTS(:,39)./STATES(:,23), 3.00000));
RATES(:,20) = ( - (ALGEBRAIC(:,22)+ALGEBRAIC(:,26)+ALGEBRAIC(:,32)+ALGEBRAIC(:,35)+ALGEBRAIC(:,59)+ - ALGEBRAIC(:,44).*2.00000).*CONSTANTS(:,41))./( CONSTANTS(:,42).*CONSTANTS(:,3));
RATES(:,19) = ( (ALGEBRAIC(:,22)+ALGEBRAIC(:,26)+ALGEBRAIC(:,32)+ALGEBRAIC(:,35)+ALGEBRAIC(:,59)+ - ALGEBRAIC(:,44).*2.00000).*CONSTANTS(:,41))./( CONSTANTS(:,42).*CONSTANTS(:,3));
ALGEBRAIC(:,37) = ( CONSTANTS(:,33).*STATES(:,23))./(CONSTANTS(:,32)+STATES(:,23));
ALGEBRAIC(:,40) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./( 2.00000.*CONSTANTS(:,3))).*log(CONSTANTS(:,22)./STATES(:,23));
ALGEBRAIC(:,41) = CONSTANTS(:,35).*(STATES(:,1) - ALGEBRAIC(:,40));
ALGEBRAIC(:,61) = ALGEBRAIC(:,53)+ALGEBRAIC(:,59);
ALGEBRAIC(:,7) = piecewise({VOI>=CONSTANTS(:,5)&VOI<=CONSTANTS(:,6)&(VOI - CONSTANTS(:,5)) - floor((VOI - CONSTANTS(:,5))./CONSTANTS(:,7)).*CONSTANTS(:,7)<=CONSTANTS(:,8), CONSTANTS(:,9) }, 0.00000);
RATES(:,1) = (ALGEBRAIC(:,7) - (ALGEBRAIC(:,16)+ALGEBRAIC(:,20)+ALGEBRAIC(:,22)+ALGEBRAIC(:,26)+ALGEBRAIC(:,36)+ALGEBRAIC(:,32)+ALGEBRAIC(:,35)+ALGEBRAIC(:,37)+ALGEBRAIC(:,39)+ALGEBRAIC(:,41)+ALGEBRAIC(:,44)+ALGEBRAIC(:,61)))./CONSTANTS(:,4);
ALGEBRAIC(:,62) = 1.00000./(1.00000+( CONSTANTS(:,66).*CONSTANTS(:,60))./power(CONSTANTS(:,60)+STATES(:,23), 2.00000));
ALGEBRAIC(:,60) = ALGEBRAIC(:,56)+ALGEBRAIC(:,58);
RATES(:,23) = ALGEBRAIC(:,62).*((ALGEBRAIC(:,47)+ALGEBRAIC(:,52)) - (ALGEBRAIC(:,49)+ALGEBRAIC(:,60)+( ((ALGEBRAIC(:,41) - 2.00000.*ALGEBRAIC(:,36))+ALGEBRAIC(:,37)).*CONSTANTS(:,41))./( 2.00000.*CONSTANTS(:,42).*CONSTANTS(:,3))));
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(:,1) = ( 0.320000.*(STATES(:,1)+47.1300))./(1.00000 - exp( - 0.100000.*(STATES(:,1)+47.1300)));
ALGEBRAIC(:,8) = 0.0800000.*exp( - STATES(:,1)./11.0000);
ALGEBRAIC(:,2) = piecewise({STATES(:,1)< - 40.0000, 0.135000.*exp((80.0000+STATES(:,1))./ - 6.80000) }, 0.00000);
ALGEBRAIC(:,9) = piecewise({STATES(:,1)< - 40.0000, 3.56000.*exp( 0.0790000.*STATES(:,1))+ 310000..*exp( 0.350000.*STATES(:,1)) }, 1.00000./( 0.130000.*(1.00000+exp((STATES(:,1)+10.6600)./ - 11.1000))));
ALGEBRAIC(:,3) = piecewise({STATES(:,1)< - 40.0000, ( ( - 127140..*exp( 0.244400.*STATES(:,1)) - 3.47400e-05.*exp( - 0.0439100.*STATES(:,1))).*(STATES(:,1)+37.7800))./(1.00000+exp( 0.311000.*(STATES(:,1)+79.2300))) }, 0.00000);
ALGEBRAIC(:,10) = piecewise({STATES(:,1)< - 40.0000, ( 0.121200.*exp( - 0.0105200.*STATES(:,1)))./(1.00000+exp( - 0.137800.*(STATES(:,1)+40.1400))) }, ( 0.300000.*exp( - 2.53500e-07.*STATES(:,1)))./(1.00000+exp( - 0.100000.*(STATES(:,1)+32.0000))));
ALGEBRAIC(:,5) = 1.00000./(1.00000+exp((STATES(:,1)+55.0000)./7.50000))+0.100000./(1.00000+exp(( - STATES(:,1)+21.0000)./6.00000));
ALGEBRAIC(:,12) = 20.0000+600.000./(1.00000+exp((STATES(:,1)+30.0000)./9.50000));
ALGEBRAIC(:,6) = ( 7.19000e-05.*(STATES(:,1)+30.0000))./(1.00000 - exp( - 0.148000.*(STATES(:,1)+30.0000)));
ALGEBRAIC(:,13) = ( 0.000131000.*(STATES(:,1)+30.0000))./( - 1.00000+exp( 0.0687000.*(STATES(:,1)+30.0000)));
ALGEBRAIC(:,4) = 0.400000.*exp((STATES(:,1)+12.0000)./10.0000);
ALGEBRAIC(:,11) = 0.0500000.*exp((STATES(:,1)+12.0000)./ - 13.0000);
ALGEBRAIC(:,19) = ( 0.187500.*STATES(:,18))./1.00000;
ALGEBRAIC(:,15) = ALGEBRAIC(:,4).*CONSTANTS(:,15);
ALGEBRAIC(:,17) = ALGEBRAIC(:,11)./CONSTANTS(:,16);
ALGEBRAIC(:,47) = CONSTANTS(:,44).*(STATES(:,29) - STATES(:,23));
ALGEBRAIC(:,49) = ( CONSTANTS(:,45).*power(STATES(:,23), 2.00000))./(power(CONSTANTS(:,59), 2.00000)+power(STATES(:,23), 2.00000));
ALGEBRAIC(:,51) = (STATES(:,29) - STATES(:,28))./CONSTANTS(:,58);
ALGEBRAIC(:,56) = CONSTANTS(:,54).*STATES(:,23).*(CONSTANTS(:,63) - STATES(:,30)) - CONSTANTS(:,55).*STATES(:,30);
ALGEBRAIC(:,18) = ( (( CONSTANTS(:,12).*4.00000.*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( 0.00100000.*exp(( 2.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 0.341000.*CONSTANTS(:,22)))./(exp(( 2.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
ALGEBRAIC(:,20) = ALGEBRAIC(:,18).*STATES(:,21).*(STATES(:,6)+STATES(:,7));
ALGEBRAIC(:,54) = 1.00000./(1.00000+( CONSTANTS(:,66).*CONSTANTS(:,60))./power(CONSTANTS(:,60)+STATES(:,18), 2.00000));
ALGEBRAIC(:,43) = STATES(:,24)+STATES(:,25);
ALGEBRAIC(:,45) = CONSTANTS(:,43).*ALGEBRAIC(:,43).*(STATES(:,28) - STATES(:,18));
ALGEBRAIC(:,52) = (STATES(:,18) - STATES(:,23))./CONSTANTS(:,62);
ALGEBRAIC(:,55) = 1.00000./(1.00000+( CONSTANTS(:,65).*CONSTANTS(:,61))./power(CONSTANTS(:,61)+STATES(:,28), 2.00000));
ALGEBRAIC(:,14) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,11)./STATES(:,2));
ALGEBRAIC(:,16) = CONSTANTS(:,10).*power(STATES(:,3), 3.00000).*STATES(:,4).*STATES(:,5).*(STATES(:,1) - ALGEBRAIC(:,14));
ALGEBRAIC(:,36) = (( (( (( CONSTANTS(:,27).*1.00000)./(power(CONSTANTS(:,28), 3.00000)+power(CONSTANTS(:,11), 3.00000))).*1.00000)./(CONSTANTS(:,29)+CONSTANTS(:,22))).*1.00000)./(1.00000+ CONSTANTS(:,30).*exp(( (CONSTANTS(:,31) - 1.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( exp(( CONSTANTS(:,31).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(STATES(:,2), 3.00000).*CONSTANTS(:,22) - exp(( (CONSTANTS(:,31) - 1.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(CONSTANTS(:,11), 3.00000).*STATES(:,23));
ALGEBRAIC(:,38) = ALGEBRAIC(:,14);
ALGEBRAIC(:,39) = CONSTANTS(:,34).*(STATES(:,1) - ALGEBRAIC(:,38));
ALGEBRAIC(:,42) = 1.00000./(1.00000+ 0.124500.*exp(( - 0.100000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))+ 0.0365000.*CONSTANTS(:,67).*exp(( - STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,44) = ( (( CONSTANTS(:,36).*ALGEBRAIC(:,42).*1.00000)./(1.00000+power(CONSTANTS(:,37)./STATES(:,2), 1.50000))).*STATES(:,19))./(STATES(:,19)+CONSTANTS(:,38));
ALGEBRAIC(:,46) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log((STATES(:,19)+CONSTANTS(:,11))./(STATES(:,20)+STATES(:,2)));
ALGEBRAIC(:,48) = STATES(:,1) - ALGEBRAIC(:,46);
ALGEBRAIC(:,50) = ( (( CONSTANTS(:,40).*power(1.00000, 2.00000).*ALGEBRAIC(:,48).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( 0.750000.*STATES(:,2).*exp(( ALGEBRAIC(:,48).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 0.750000.*CONSTANTS(:,11)))./(exp(( ALGEBRAIC(:,48).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
ALGEBRAIC(:,53) = ( ALGEBRAIC(:,50).*1.00000)./(1.00000+power(CONSTANTS(:,39)./STATES(:,23), 3.00000));
ALGEBRAIC(:,58) = CONSTANTS(:,56).*STATES(:,23).*(CONSTANTS(:,64) - STATES(:,31)) - CONSTANTS(:,57).*STATES(:,31);
ALGEBRAIC(:,21) = CONSTANTS(:,13)./(1.00000+ALGEBRAIC(:,18)./CONSTANTS(:,14));
ALGEBRAIC(:,22) = ( (( ALGEBRAIC(:,21).*STATES(:,21).*(STATES(:,6)+STATES(:,7)).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( STATES(:,20).*exp(( STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - STATES(:,19)))./(exp(( STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
ALGEBRAIC(:,23) = CONSTANTS(:,23).*power((STATES(:,19)./5.40000), 1.0 ./ 2);
ALGEBRAIC(:,24) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log((STATES(:,19)+ CONSTANTS(:,24).*CONSTANTS(:,11))./(STATES(:,20)+ CONSTANTS(:,24).*STATES(:,2)));
ALGEBRAIC(:,25) = 1.00000./(1.00000+exp((STATES(:,1) - 56.2600)./32.1000));
ALGEBRAIC(:,26) = ALGEBRAIC(:,23).*ALGEBRAIC(:,25).*power(STATES(:,22), 2.00000).*(STATES(:,1) - ALGEBRAIC(:,24));
ALGEBRAIC(:,28) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(STATES(:,19)./STATES(:,20));
ALGEBRAIC(:,27) = CONSTANTS(:,25).*power((STATES(:,19)./5.40000), 1.0 ./ 2);
ALGEBRAIC(:,29) = 1.02000./(1.00000+exp( 0.238500.*((STATES(:,1) - ALGEBRAIC(:,28)) - 59.2150)));
ALGEBRAIC(:,30) = ( 0.491240.*(exp( 0.0803200.*((STATES(:,1)+5.47600) - ALGEBRAIC(:,28)))+exp( 0.0617500.*(STATES(:,1) - (ALGEBRAIC(:,28)+594.310)))))./(1.00000+exp( - 0.514300.*((STATES(:,1) - ALGEBRAIC(:,28))+4.75300)));
ALGEBRAIC(:,31) = ALGEBRAIC(:,29)./(ALGEBRAIC(:,29)+ALGEBRAIC(:,30));
ALGEBRAIC(:,32) = ALGEBRAIC(:,27).*ALGEBRAIC(:,31).*(STATES(:,1) - ALGEBRAIC(:,28));
ALGEBRAIC(:,33) = ALGEBRAIC(:,28);
ALGEBRAIC(:,34) = 1.00000./(1.00000+exp((7.48800 - STATES(:,1))./5.98000));
ALGEBRAIC(:,35) = CONSTANTS(:,26).*ALGEBRAIC(:,34).*(STATES(:,1) - ALGEBRAIC(:,33));
ALGEBRAIC(:,57) = ( (( CONSTANTS(:,40).*power(1.00000, 2.00000).*ALGEBRAIC(:,48).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( 0.750000.*STATES(:,20).*exp(( ALGEBRAIC(:,48).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 0.750000.*STATES(:,19)))./(exp(( ALGEBRAIC(:,48).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000);
ALGEBRAIC(:,59) = ( ALGEBRAIC(:,57).*1.00000)./(1.00000+power(CONSTANTS(:,39)./STATES(:,23), 3.00000));
ALGEBRAIC(:,37) = ( CONSTANTS(:,33).*STATES(:,23))./(CONSTANTS(:,32)+STATES(:,23));
ALGEBRAIC(:,40) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./( 2.00000.*CONSTANTS(:,3))).*log(CONSTANTS(:,22)./STATES(:,23));
ALGEBRAIC(:,41) = CONSTANTS(:,35).*(STATES(:,1) - ALGEBRAIC(:,40));
ALGEBRAIC(:,61) = ALGEBRAIC(:,53)+ALGEBRAIC(:,59);
ALGEBRAIC(:,7) = piecewise({VOI>=CONSTANTS(:,5)&VOI<=CONSTANTS(:,6)&(VOI - CONSTANTS(:,5)) - floor((VOI - CONSTANTS(:,5))./CONSTANTS(:,7)).*CONSTANTS(:,7)<=CONSTANTS(:,8), CONSTANTS(:,9) }, 0.00000);
ALGEBRAIC(:,62) = 1.00000./(1.00000+( CONSTANTS(:,66).*CONSTANTS(:,60))./power(CONSTANTS(:,60)+STATES(:,23), 2.00000));
ALGEBRAIC(:,60) = ALGEBRAIC(:,56)+ALGEBRAIC(:,58);
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