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 =73;
end
% There are a total of 31 entries in each of the rate and state variable arrays.
% There are a total of 93 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_CONSTANTS(:,1) = strpad('Aca_IC50_IKr in component acacetin (uM)');
LEGEND_CONSTANTS(:,2) = strpad('Aca_IC50_IKs in component acacetin (uM)');
LEGEND_CONSTANTS(:,3) = strpad('Aca_IC50_Ito in component acacetin (uM)');
LEGEND_CONSTANTS(:,4) = strpad('Aca_hill_IKr in component acacetin (dimensionless)');
LEGEND_CONSTANTS(:,5) = strpad('Aca_hill_IKs in component acacetin (dimensionless)');
LEGEND_CONSTANTS(:,6) = strpad('Aca_hill_Ito in component acacetin (dimensionless)');
LEGEND_CONSTANTS(:,7) = strpad('conc in component acacetin (uM)');
LEGEND_CONSTANTS(:,66) = strpad('fKr in component acacetin (dimensionless)');
LEGEND_CONSTANTS(:,67) = strpad('fKs in component acacetin (dimensionless)');
LEGEND_CONSTANTS(:,68) = strpad('fto in component acacetin (dimensionless)');
LEGEND_CONSTANTS(:,8) = strpad('Aj_nj in component cell (um2)');
LEGEND_CONSTANTS(:,9) = strpad('BCa in component calcium (mM)');
LEGEND_CONSTANTS(:,10) = strpad('CSQN in component calcium (mM)');
LEGEND_STATES(:,1) = strpad('Ca_SRi in component calcium (mM)');
LEGEND_STATES(:,2) = strpad('Ca_SRss in component calcium (mM)');
LEGEND_STATES(:,3) = strpad('Ca_i in component calcium (mM)');
LEGEND_STATES(:,4) = strpad('Ca_ss in component calcium (mM)');
LEGEND_CONSTANTS(:,11) = strpad('DCa in component calcium (m2_per_s_times_1e_minus_9)');
LEGEND_CONSTANTS(:,12) = strpad('DCaSR in component calcium (m2_per_s_times_1e_minus_9)');
LEGEND_CONSTANTS(:,13) = strpad('F in component phys (C_per_mmol)');
LEGEND_ALGEBRAIC(:,43) = strpad('ICaL in component ical (pA)');
LEGEND_ALGEBRAIC(:,45) = strpad('ICap in component icap (pA)');
LEGEND_ALGEBRAIC(:,47) = strpad('INaCa in component inaca (pA)');
LEGEND_ALGEBRAIC(:,55) = strpad('I_tot in component calcium (pA)');
LEGEND_ALGEBRAIC(:,54) = strpad('IbCa in component ibca (pA)');
LEGEND_ALGEBRAIC(:,51) = strpad('JCa in component calcium (kat_times_1e_minus_15)');
LEGEND_ALGEBRAIC(:,66) = strpad('JCass in component calcium (kat_times_1e_minus_15)');
LEGEND_ALGEBRAIC(:,64) = strpad('JSRCaSS in component calcium (kat_times_1e_minus_15)');
LEGEND_ALGEBRAIC(:,50) = strpad('JSRCai in component calcium (kat_times_1e_minus_15)');
LEGEND_ALGEBRAIC(:,1) = strpad('JSRCaleaki in component calcium (kat_times_1e_minus_15)');
LEGEND_ALGEBRAIC(:,20) = strpad('JSRCaleakss in component calcium (kat_times_1e_minus_15)');
LEGEND_ALGEBRAIC(:,46) = strpad('J_SERCASR in component serca (kat_times_1e_minus_15)');
LEGEND_ALGEBRAIC(:,61) = strpad('J_SERCASRss in component serca (kat_times_1e_minus_15)');
LEGEND_ALGEBRAIC(:,48) = strpad('J_bulkSERCA in component serca (kat_times_1e_minus_15)');
LEGEND_ALGEBRAIC(:,63) = strpad('J_bulkSERCAss in component serca (kat_times_1e_minus_15)');
LEGEND_ALGEBRAIC(:,32) = strpad('Jj_nj in component calcium (kat_times_1e_minus_15)');
LEGEND_ALGEBRAIC(:,44) = strpad('Jreli in component ryr (kat_times_1e_minus_15)');
LEGEND_ALGEBRAIC(:,59) = strpad('Jrelss in component ryr (kat_times_1e_minus_15)');
LEGEND_CONSTANTS(:,14) = strpad('KdBCa in component calcium (mM)');
LEGEND_CONSTANTS(:,15) = strpad('KdCSQN in component calcium (mM)');
LEGEND_CONSTANTS(:,16) = strpad('KdSLhigh in component calcium (mM)');
LEGEND_CONSTANTS(:,17) = strpad('KdSLlow in component calcium (mM)');
LEGEND_CONSTANTS(:,18) = strpad('SLhigh in component calcium (mM)');
LEGEND_CONSTANTS(:,19) = strpad('SLlow in component calcium (mM)');
LEGEND_CONSTANTS(:,70) = strpad('VSRi in component cell (um3)');
LEGEND_CONSTANTS(:,71) = strpad('VSRss in component cell (um3)');
LEGEND_CONSTANTS(:,69) = strpad('Vnj in component cell (um3)');
LEGEND_CONSTANTS(:,89) = strpad('Vss in component cell (um3)');
LEGEND_ALGEBRAIC(:,36) = strpad('calcium_Ca_SRi_beta in component calcium (dimensionless)');
LEGEND_ALGEBRAIC(:,37) = strpad('calcium_Ca_SRss_beta in component calcium (dimensionless)');
LEGEND_ALGEBRAIC(:,40) = strpad('calcium_Ca_i_beta in component calcium (dimensionless)');
LEGEND_ALGEBRAIC(:,41) = strpad('calcium_Ca_ss_beta in component calcium (dimensionless)');
LEGEND_CONSTANTS(:,72) = strpad('dx2 in component cell (um2)');
LEGEND_CONSTANTS(:,20) = strpad('kSRleak in component calcium (mS_per_uF)');
LEGEND_VOI = strpad('time in component engine (ms)');
LEGEND_CONSTANTS(:,21) = strpad('xj_nj in component cell (um)');
LEGEND_CONSTANTS(:,22) = strpad('Cm in component cell (pF)');
LEGEND_CONSTANTS(:,23) = strpad('Vi in component cell (um3)');
LEGEND_CONSTANTS(:,24) = strpad('dx in component cell (um)');
LEGEND_CONSTANTS(:,25) = strpad('pace in component engine (dimensionless)');
LEGEND_ALGEBRAIC(:,53) = strpad('ECa in component nernst (mV)');
LEGEND_STATES(:,5) = strpad('V in component membrane (mV)');
LEGEND_CONSTANTS(:,73) = strpad('gbCa in component ibca (mS_per_uF)');
LEGEND_ALGEBRAIC(:,68) = strpad('ENa in component nernst (mV)');
LEGEND_ALGEBRAIC(:,69) = strpad('IbNa in component ibna (pA)');
LEGEND_CONSTANTS(:,74) = strpad('gbNa in component ibna (mS_per_uF)');
LEGEND_CONSTANTS(:,26) = strpad('ErL in component ical (mV)');
LEGEND_STATES(:,6) = strpad('d in component ical (mS_per_uF)');
LEGEND_STATES(:,7) = strpad('f in component ical (mS_per_uF)');
LEGEND_STATES(:,8) = strpad('fca in component ical (mS_per_uF)');
LEGEND_CONSTANTS(:,75) = strpad('gCaL in component ical (mS_per_uF)');
LEGEND_ALGEBRAIC(:,2) = strpad('ical_d_a in component ical (ms)');
LEGEND_ALGEBRAIC(:,21) = strpad('ical_d_inf in component ical (dimensionless)');
LEGEND_ALGEBRAIC(:,33) = strpad('ical_d_tau in component ical (ms)');
LEGEND_ALGEBRAIC(:,3) = strpad('ical_f_inf in component ical (dimensionless)');
LEGEND_ALGEBRAIC(:,22) = strpad('ical_f_tau in component ical (ms)');
LEGEND_ALGEBRAIC(:,4) = strpad('ical_fca_inf in component ical (dimensionless)');
LEGEND_CONSTANTS(:,27) = strpad('ical_fca_tau in component ical (ms)');
LEGEND_CONSTANTS(:,28) = strpad('icapbar in component icap (A_per_F)');
LEGEND_CONSTANTS(:,29) = strpad('kmcap in component icap (mM)');
LEGEND_ALGEBRAIC(:,56) = strpad('EK in component nernst (mV)');
LEGEND_ALGEBRAIC(:,58) = strpad('IK1 in component ik1 (pA)');
LEGEND_CONSTANTS(:,30) = strpad('gK1 in component ik1 (mS_per_uF)');
LEGEND_ALGEBRAIC(:,60) = strpad('IKr in component ikr (pA)');
LEGEND_CONSTANTS(:,76) = strpad('gKr in component ikr (mS_per_uF)');
LEGEND_ALGEBRAIC(:,5) = strpad('ikr_xr_a in component ikr (mS_per_uF)');
LEGEND_ALGEBRAIC(:,23) = strpad('ikr_xr_b in component ikr (mS_per_uF)');
LEGEND_ALGEBRAIC(:,34) = strpad('ikr_xr_inf in component ikr (dimensionless)');
LEGEND_ALGEBRAIC(:,38) = strpad('ikr_xr_tau in component ikr (ms)');
LEGEND_STATES(:,9) = strpad('xr in component ikr (mS_per_uF)');
LEGEND_ALGEBRAIC(:,62) = strpad('IKs in component iks (pA)');
LEGEND_CONSTANTS(:,77) = strpad('gKs in component iks (mS_per_uF)');
LEGEND_ALGEBRAIC(:,6) = strpad('iks_xs_a in component iks (mS_per_uF)');
LEGEND_ALGEBRAIC(:,24) = strpad('iks_xs_b in component iks (mS_per_uF)');
LEGEND_ALGEBRAIC(:,35) = strpad('iks_xs_inf in component iks (dimensionless)');
LEGEND_ALGEBRAIC(:,39) = strpad('iks_xs_tau in component iks (ms)');
LEGEND_STATES(:,10) = strpad('xs in component iks (mS_per_uF)');
LEGEND_STATES(:,11) = strpad('BC in component ikur (mS_per_uF)');
LEGEND_STATES(:,12) = strpad('BO in component ikur (mS_per_uF)');
LEGEND_CONSTANTS(:,78) = strpad('FRT in component phys (per_mV)');
LEGEND_ALGEBRAIC(:,65) = strpad('IKur in component ikur (pA)');
LEGEND_CONSTANTS(:,31) = strpad('KC in component ikur (m3_per_s_per_mol_times_1e6)');
LEGEND_CONSTANTS(:,32) = strpad('KO in component ikur (m3_per_s_per_mol_times_1e6)');
LEGEND_CONSTANTS(:,33) = strpad('K_Q10 in component ikur (dimensionless)');
LEGEND_CONSTANTS(:,34) = strpad('LC in component ikur (mS_per_uF)');
LEGEND_CONSTANTS(:,35) = strpad('LO in component ikur (mS_per_uF)');
LEGEND_CONSTANTS(:,79) = strpad('ZKC in component ikur (dimensionless)');
LEGEND_CONSTANTS(:,80) = strpad('ZKO in component ikur (dimensionless)');
LEGEND_CONSTANTS(:,36) = strpad('ZLC in component ikur (dimensionless)');
LEGEND_CONSTANTS(:,81) = strpad('ZLO in component ikur (dimensionless)');
LEGEND_STATES(:,13) = strpad('a in component ikur (mS_per_uF)');
LEGEND_CONSTANTS(:,82) = strpad('gKur in component ikur (mS_per_uF)');
LEGEND_STATES(:,14) = strpad('i in component ikur (mS_per_uF)');
LEGEND_ALGEBRAIC(:,7) = strpad('ikur_a_inf in component ikur (dimensionless)');
LEGEND_ALGEBRAIC(:,25) = strpad('ikur_a_tau in component ikur (ms)');
LEGEND_ALGEBRAIC(:,8) = strpad('ikur_i_inf in component ikur (dimensionless)');
LEGEND_ALGEBRAIC(:,26) = strpad('ikur_i_tau in component ikur (ms)');
LEGEND_STATES(:,15) = strpad('BA in component ina (mS_per_uF)');
LEGEND_STATES(:,16) = strpad('BI in component ina (mS_per_uF)');
LEGEND_ALGEBRAIC(:,70) = strpad('INa in component ina (pA)');
LEGEND_CONSTANTS(:,83) = strpad('drug_Ka in component ina (m3_per_s_per_mol_times_1e6)');
LEGEND_CONSTANTS(:,84) = strpad('drug_Ki in component ina (m3_per_s_per_mol_times_1e6)');
LEGEND_CONSTANTS(:,37) = strpad('drug_La in component ina (mS_per_uF)');
LEGEND_CONSTANTS(:,38) = strpad('drug_Li in component ina (mS_per_uF)');
LEGEND_CONSTANTS(:,39) = strpad('drug_concen in component ina (uM)');
LEGEND_CONSTANTS(:,40) = strpad('gNa in component ina (mS_per_uF)');
LEGEND_STATES(:,17) = strpad('h in component ina (mS_per_uF)');
LEGEND_ALGEBRAIC(:,9) = strpad('ina_h_alpha in component ina (mS_per_uF)');
LEGEND_ALGEBRAIC(:,27) = strpad('ina_h_beta in component ina (mS_per_uF)');
LEGEND_ALGEBRAIC(:,10) = strpad('ina_j_alpha in component ina (mS_per_uF)');
LEGEND_ALGEBRAIC(:,28) = strpad('ina_j_beta in component ina (mS_per_uF)');
LEGEND_ALGEBRAIC(:,11) = strpad('ina_m_alpha in component ina (mS_per_uF)');
LEGEND_ALGEBRAIC(:,29) = strpad('ina_m_beta in component ina (mS_per_uF)');
LEGEND_STATES(:,18) = strpad('j in component ina (mS_per_uF)');
LEGEND_STATES(:,19) = strpad('m in component ina (mS_per_uF)');
LEGEND_CONSTANTS(:,41) = strpad('Ca_o in component ion (mM)');
LEGEND_STATES(:,20) = strpad('Na_i in component sodium (mM)');
LEGEND_CONSTANTS(:,42) = strpad('Na_o in component ion (mM)');
LEGEND_CONSTANTS(:,43) = strpad('gammalr in component inaca (dimensionless)');
LEGEND_CONSTANTS(:,44) = strpad('kmcalr in component inaca (mM)');
LEGEND_CONSTANTS(:,45) = strpad('kmnalr in component inaca (mM)');
LEGEND_CONSTANTS(:,46) = strpad('knacalr in component inaca (A_per_F)');
LEGEND_CONSTANTS(:,47) = strpad('ksatlr in component inaca (dimensionless)');
LEGEND_ALGEBRAIC(:,52) = strpad('INaK in component inak (pA)');
LEGEND_CONSTANTS(:,85) = strpad('I_bar in component inak (A_per_F)');
LEGEND_CONSTANTS(:,48) = strpad('K_o in component ion (mM)');
LEGEND_ALGEBRAIC(:,49) = strpad('fnak in component inak (dimensionless)');
LEGEND_CONSTANTS(:,49) = strpad('kmko in component inak (mM)');
LEGEND_CONSTANTS(:,50) = strpad('kmnai in component inak (mM)');
LEGEND_CONSTANTS(:,86) = strpad('sigma in component inak (dimensionless)');
LEGEND_ALGEBRAIC(:,67) = strpad('Ito in component ito (pA)');
LEGEND_CONSTANTS(:,87) = strpad('gto in component ito (mS_per_uF)');
LEGEND_ALGEBRAIC(:,12) = strpad('ito_r_inf in component ito (dimensionless)');
LEGEND_ALGEBRAIC(:,30) = strpad('ito_r_tau in component ito (ms)');
LEGEND_ALGEBRAIC(:,13) = strpad('ito_s_inf in component ito (dimensionless)');
LEGEND_ALGEBRAIC(:,31) = strpad('ito_s_tau in component ito (ms)');
LEGEND_STATES(:,21) = strpad('r in component ito (mS_per_uF)');
LEGEND_STATES(:,22) = strpad('s in component ito (mS_per_uF)');
LEGEND_ALGEBRAIC(:,71) = strpad('i_ion in component membrane (pA)');
LEGEND_ALGEBRAIC(:,73) = strpad('i_stim in component stimulus (pA)');
LEGEND_STATES(:,23) = strpad('K_i in component potassium (mM)');
LEGEND_CONSTANTS(:,51) = strpad('R in component phys (J_per_mol_per_K)');
LEGEND_CONSTANTS(:,52) = strpad('T in component phys (kelvin)');
LEGEND_ALGEBRAIC(:,42) = strpad('RyRSRCai in component ryr (dimensionless)');
LEGEND_ALGEBRAIC(:,57) = strpad('RyRSRCass in component ryr (dimensionless)');
LEGEND_STATES(:,24) = strpad('a_i in component ryr (mS_per_uF)');
LEGEND_STATES(:,25) = strpad('a_ss in component ryr (mS_per_uF)');
LEGEND_STATES(:,26) = strpad('c_i in component ryr (mS_per_uF)');
LEGEND_STATES(:,27) = strpad('c_ss in component ryr (mS_per_uF)');
LEGEND_CONSTANTS(:,90) = strpad('nui in component ryr (m3_per_s_times_1e_minus_15)');
LEGEND_CONSTANTS(:,92) = strpad('nuss in component ryr (m3_per_s_times_1e_minus_15)');
LEGEND_STATES(:,28) = strpad('o_i in component ryr (mS_per_uF)');
LEGEND_STATES(:,29) = strpad('o_ss in component ryr (mS_per_uF)');
LEGEND_ALGEBRAIC(:,14) = strpad('ryr_a_i_inf in component ryr (dimensionless)');
LEGEND_CONSTANTS(:,53) = strpad('ryr_a_i_tau in component ryr (ms)');
LEGEND_ALGEBRAIC(:,15) = strpad('ryr_a_ss_inf in component ryr (dimensionless)');
LEGEND_CONSTANTS(:,54) = strpad('ryr_a_ss_tau in component ryr (ms)');
LEGEND_ALGEBRAIC(:,16) = strpad('ryr_c_i_inf in component ryr (dimensionless)');
LEGEND_CONSTANTS(:,88) = strpad('ryr_c_i_tau in component ryr (ms)');
LEGEND_ALGEBRAIC(:,17) = strpad('ryr_c_ss_inf in component ryr (dimensionless)');
LEGEND_CONSTANTS(:,55) = strpad('ryr_c_ss_tau in component ryr (ms)');
LEGEND_ALGEBRAIC(:,18) = strpad('ryr_o_i_inf in component ryr (dimensionless)');
LEGEND_CONSTANTS(:,56) = strpad('ryr_o_i_tau in component ryr (ms)');
LEGEND_ALGEBRAIC(:,19) = strpad('ryr_o_ss_inf in component ryr (dimensionless)');
LEGEND_CONSTANTS(:,57) = strpad('ryr_o_ss_tau in component ryr (ms)');
LEGEND_STATES(:,30) = strpad('SERCACa in component serca (mM)');
LEGEND_STATES(:,31) = strpad('SERCACass in component serca (mM)');
LEGEND_CONSTANTS(:,58) = strpad('cpumps in component serca (mM)');
LEGEND_CONSTANTS(:,59) = strpad('k1 in component serca (per_mM2_per_ms)');
LEGEND_CONSTANTS(:,60) = strpad('k2 in component serca (mS_per_uF)');
LEGEND_CONSTANTS(:,61) = strpad('k3 in component serca (per_mM2_per_ms)');
LEGEND_CONSTANTS(:,62) = strpad('k4 in component serca (mS_per_uF)');
LEGEND_CONSTANTS(:,91) = strpad('amplitude in component stimulus (pA)');
LEGEND_CONSTANTS(:,63) = strpad('duration in component stimulus (ms)');
LEGEND_CONSTANTS(:,64) = strpad('offset in component stimulus (ms)');
LEGEND_ALGEBRAIC(:,72) = strpad('pace in component stimulus (dimensionless)');
LEGEND_CONSTANTS(:,65) = strpad('period in component stimulus (ms)');
LEGEND_RATES(:,1) = strpad('d/dt Ca_SRi in component calcium (mM)');
LEGEND_RATES(:,2) = strpad('d/dt Ca_SRss in component calcium (mM)');
LEGEND_RATES(:,3) = strpad('d/dt Ca_i in component calcium (mM)');
LEGEND_RATES(:,4) = strpad('d/dt Ca_ss in component calcium (mM)');
LEGEND_RATES(:,6) = strpad('d/dt d in component ical (mS_per_uF)');
LEGEND_RATES(:,7) = strpad('d/dt f in component ical (mS_per_uF)');
LEGEND_RATES(:,8) = strpad('d/dt fca in component ical (mS_per_uF)');
LEGEND_RATES(:,9) = strpad('d/dt xr in component ikr (mS_per_uF)');
LEGEND_RATES(:,10) = strpad('d/dt xs in component iks (mS_per_uF)');
LEGEND_RATES(:,11) = strpad('d/dt BC in component ikur (mS_per_uF)');
LEGEND_RATES(:,12) = strpad('d/dt BO in component ikur (mS_per_uF)');
LEGEND_RATES(:,13) = strpad('d/dt a in component ikur (mS_per_uF)');
LEGEND_RATES(:,14) = strpad('d/dt i in component ikur (mS_per_uF)');
LEGEND_RATES(:,15) = strpad('d/dt BA in component ina (mS_per_uF)');
LEGEND_RATES(:,16) = strpad('d/dt BI in component ina (mS_per_uF)');
LEGEND_RATES(:,17) = strpad('d/dt h in component ina (mS_per_uF)');
LEGEND_RATES(:,18) = strpad('d/dt j in component ina (mS_per_uF)');
LEGEND_RATES(:,19) = strpad('d/dt m in component ina (mS_per_uF)');
LEGEND_RATES(:,21) = strpad('d/dt r in component ito (mS_per_uF)');
LEGEND_RATES(:,22) = strpad('d/dt s in component ito (mS_per_uF)');
LEGEND_RATES(:,5) = strpad('d/dt V in component membrane (mV)');
LEGEND_RATES(:,23) = strpad('d/dt K_i in component potassium (mM)');
LEGEND_RATES(:,24) = strpad('d/dt a_i in component ryr (mS_per_uF)');
LEGEND_RATES(:,25) = strpad('d/dt a_ss in component ryr (mS_per_uF)');
LEGEND_RATES(:,26) = strpad('d/dt c_i in component ryr (mS_per_uF)');
LEGEND_RATES(:,27) = strpad('d/dt c_ss in component ryr (mS_per_uF)');
LEGEND_RATES(:,28) = strpad('d/dt o_i in component ryr (mS_per_uF)');
LEGEND_RATES(:,29) = strpad('d/dt o_ss in component ryr (mS_per_uF)');
LEGEND_RATES(:,30) = strpad('d/dt SERCACa in component serca (mM)');
LEGEND_RATES(:,31) = strpad('d/dt SERCACass in component serca (mM)');
LEGEND_RATES(:,20) = strpad('d/dt Na_i in component sodium (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 = [];
CONSTANTS(:,1) = 32.4;
CONSTANTS(:,2) = 81.4;
CONSTANTS(:,3) = 9.3;
CONSTANTS(:,4) = 0.9;
CONSTANTS(:,5) = 0.8;
CONSTANTS(:,6) = 0.9;
CONSTANTS(:,7) = 1e-14;
CONSTANTS(:,8) = 2.49232441199999994e+03;
CONSTANTS(:,9) = 0.024;
CONSTANTS(:,10) = 6.7;
STATES(:,1) = 9.89241162100000015e-01;
STATES(:,2) = 9.77916803700000004e-01;
STATES(:,3) = 1.40313306500000005e-04;
STATES(:,4) = 1.31359510499999994e-04;
CONSTANTS(:,11) = 0.78;
CONSTANTS(:,12) = 0.044;
CONSTANTS(:,13) = 96.4867;
CONSTANTS(:,14) = 0.00238;
CONSTANTS(:,15) = 0.8;
CONSTANTS(:,16) = 0.013;
CONSTANTS(:,17) = 1.1;
CONSTANTS(:,18) = 13.0;
CONSTANTS(:,19) = 165.0;
CONSTANTS(:,20) = 6e-06;
CONSTANTS(:,21) = 0.8225;
CONSTANTS(:,22) = 100.0;
CONSTANTS(:,23) = 13668.0;
CONSTANTS(:,24) = 1.625;
CONSTANTS(:,25) = 0.0;
STATES(:,5) = -7.71325583600000044e+01;
CONSTANTS(:,26) = 65.0;
STATES(:,6) = 2.26716127700000005e-04;
STATES(:,7) = 9.35421288100000026e-01;
STATES(:,8) = 7.27082366600000030e-01;
CONSTANTS(:,27) = 2.0;
CONSTANTS(:,28) = 0.275;
CONSTANTS(:,29) = 0.0005;
CONSTANTS(:,30) = 0.09;
STATES(:,9) = 1.57418133000000000e-03;
STATES(:,10) = 2.22597964100000011e-02;
STATES(:,11) = 3.06272282199999992e-15;
STATES(:,12) = 2.35547751699999996e-16;
CONSTANTS(:,31) = 2.47871658999999998e-03;
CONSTANTS(:,32) = 1.94459589999999990e-04;
CONSTANTS(:,33) = 3.0;
CONSTANTS(:,34) = 2.86367149999999988e-04;
CONSTANTS(:,35) = 2.90998690000000002e-04;
CONSTANTS(:,36) = 8.37073022689999946e-01;
STATES(:,13) = 2.41788180099999987e-04;
STATES(:,14) = 9.51727886399999945e-01;
STATES(:,15) = 0.0;
STATES(:,16) = 0.0;
CONSTANTS(:,37) = 0.1;
CONSTANTS(:,38) = 0.01;
CONSTANTS(:,39) = 0.0;
CONSTANTS(:,40) = 7.8;
STATES(:,17) = 9.16842028100000039e-01;
STATES(:,18) = 9.38018356399999975e-01;
STATES(:,19) = 5.63181991600000039e-03;
CONSTANTS(:,41) = 1.8;
STATES(:,20) = 1.03039701200000007e+01;
CONSTANTS(:,42) = 140.0;
CONSTANTS(:,43) = 0.35;
CONSTANTS(:,44) = 1.38;
CONSTANTS(:,45) = 87.5;
CONSTANTS(:,46) = 1600.0;
CONSTANTS(:,47) = 0.1;
CONSTANTS(:,48) = 5.4;
CONSTANTS(:,49) = 1.5;
CONSTANTS(:,50) = 10.0;
STATES(:,21) = 1.22370601099999997e-02;
STATES(:,22) = 8.84913984200000003e-01;
STATES(:,23) = 1.31867138000000011e+02;
CONSTANTS(:,51) = 8.3143;
CONSTANTS(:,52) = 310.0;
STATES(:,24) = 2.97721944299999985e-01;
STATES(:,25) = 1.41927157299999995e-01;
STATES(:,26) = 9.79023869800000002e-01;
STATES(:,27) = 9.57197650200000028e-01;
STATES(:,28) = 3.66799927299999980e-04;
STATES(:,29) = 4.56694440999999974e-04;
CONSTANTS(:,53) = 250.0;
CONSTANTS(:,54) = 250.0;
CONSTANTS(:,55) = 15.0;
CONSTANTS(:,56) = 5.0;
CONSTANTS(:,57) = 5.0;
STATES(:,30) = 9.58584701999999969e-03;
STATES(:,31) = 9.38694111799999974e-03;
CONSTANTS(:,58) = 0.04;
CONSTANTS(:,59) = 7500.0;
CONSTANTS(:,60) = 4.68749999999999983e-04;
CONSTANTS(:,61) = 2.31481500000000001e-03;
CONSTANTS(:,62) = 0.0075;
CONSTANTS(:,63) = 0.5;
CONSTANTS(:,64) = 10.0;
CONSTANTS(:,65) = 1000.0;
CONSTANTS(:,66) = 1.00000 - 1.00000./(1.00000+power(CONSTANTS(:,1)./CONSTANTS(:,7), CONSTANTS(:,4)));
CONSTANTS(:,67) = 1.00000 - 1.00000./(1.00000+power(CONSTANTS(:,2)./CONSTANTS(:,7), CONSTANTS(:,5)));
CONSTANTS(:,68) = 1.00000 - 1.00000./(1.00000+power(CONSTANTS(:,3)./CONSTANTS(:,7), CONSTANTS(:,6)));
CONSTANTS(:,69) = 6.00000.*2531.00;
CONSTANTS(:,70) = 2.00000.*57.0000;
CONSTANTS(:,71) = 2.00000.*80.0000;
CONSTANTS(:,72) = CONSTANTS(:,24).*CONSTANTS(:,24);
CONSTANTS(:,73) = 1.40000.*0.00113100;
CONSTANTS(:,74) = 0.800000.*0.000674438;
CONSTANTS(:,75) = 0.129400.*0.750000;
CONSTANTS(:,76) = 0.800000.*0.0294118;
CONSTANTS(:,77) = 0.800000.*0.129412;
CONSTANTS(:,78) = (CONSTANTS(:,13)./CONSTANTS(:,51))./CONSTANTS(:,52);
CONSTANTS(:,79) = - 0.327024;
CONSTANTS(:,80) = - 0.257320;
CONSTANTS(:,81) = - 0.0128016;
CONSTANTS(:,82) = 0.00639800.*0.900000;
CONSTANTS(:,83) = 0.100000./1000.00;
CONSTANTS(:,84) = 0.100000./1000.00;
CONSTANTS(:,85) = 1.40000.*0.599339;
CONSTANTS(:,86) = (exp(CONSTANTS(:,42)./67.3000) - 1.00000)./7.00000;
CONSTANTS(:,87) = 0.754710.*0.196200;
CONSTANTS(:,88) = 2.00000.*15.0000;
CONSTANTS(:,92) = 0.00000;
CONSTANTS(:,89) = 2.00000.*49.9232;
CONSTANTS(:,90) = 0.00100000.*CONSTANTS(:,69);
CONSTANTS(:,91) = - 8000.00;
CONSTANTS(:,92) = 0.625000.*CONSTANTS(:,89);
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(:,23) = CONSTANTS(:,92);
RATES(:,11) = ( ( ( ( CONSTANTS(:,31).*exp( ( - CONSTANTS(:,79).*STATES(:,5)).*CONSTANTS(:,78))).*CONSTANTS(:,7)).*STATES(:,14)).*(1.00000 - STATES(:,13))).*((1.00000 - STATES(:,12)) - STATES(:,11)) - ( CONSTANTS(:,34).*STATES(:,11)).*exp( ( - CONSTANTS(:,36).*STATES(:,5)).*CONSTANTS(:,78));
RATES(:,12) = ( ( ( ( CONSTANTS(:,32).*exp( ( - CONSTANTS(:,80).*STATES(:,5)).*CONSTANTS(:,78))).*CONSTANTS(:,7)).*STATES(:,14)).*STATES(:,13)).*((1.00000 - STATES(:,12)) - STATES(:,11)) - ( CONSTANTS(:,35).*STATES(:,12)).*exp( ( - CONSTANTS(:,81).*STATES(:,5)).*CONSTANTS(:,78));
RATES(:,15) = ( ( ( ( CONSTANTS(:,83).*CONSTANTS(:,39)).*power(STATES(:,19), 3.00000)).*STATES(:,17)).*STATES(:,18)).*((1.00000 - STATES(:,15)) - STATES(:,16)) - CONSTANTS(:,37).*STATES(:,15);
RATES(:,16) = ( ( CONSTANTS(:,84).*CONSTANTS(:,39)).*(1.00000 - STATES(:,17))).*((1.00000 - STATES(:,15)) - STATES(:,16)) - CONSTANTS(:,38).*STATES(:,16);
ALGEBRAIC(:,4) = 1.00000./(1.00000+STATES(:,4)./0.000350000);
RATES(:,8) = (ALGEBRAIC(:,4) - STATES(:,8))./CONSTANTS(:,27);
ALGEBRAIC(:,14) = 0.505000 - 0.427000./(1.00000+exp(( 2000.00.*STATES(:,3) - 0.290000)./0.0820000));
RATES(:,24) = (ALGEBRAIC(:,14) - STATES(:,24))./CONSTANTS(:,53);
ALGEBRAIC(:,15) = 0.505000 - 0.427000./(1.00000+exp(( 1000.00.*STATES(:,4) - 0.290000)./0.0820000));
RATES(:,25) = (ALGEBRAIC(:,15) - STATES(:,25))./CONSTANTS(:,54);
ALGEBRAIC(:,16) = 1.00000./(1.00000+exp(( 2000.00.*STATES(:,3) - (STATES(:,24)+0.0200000))./0.0100000));
RATES(:,26) = (ALGEBRAIC(:,16) - STATES(:,26))./CONSTANTS(:,88);
ALGEBRAIC(:,17) = 1.00000./(1.00000+exp(( 1000.00.*STATES(:,4) - (STATES(:,25)+0.0200000))./0.0100000));
RATES(:,27) = (ALGEBRAIC(:,17) - STATES(:,27))./CONSTANTS(:,55);
ALGEBRAIC(:,18) = 1.00000 - 1.00000./(1.00000+exp(( 2000.00.*STATES(:,3) - (STATES(:,24)+0.220000))./0.0300000));
RATES(:,28) = (ALGEBRAIC(:,18) - STATES(:,28))./CONSTANTS(:,56);
ALGEBRAIC(:,19) = 1.00000 - 1.00000./(1.00000+exp(( 1000.00.*STATES(:,4) - (STATES(:,25)+0.220000))./0.0300000));
RATES(:,29) = (ALGEBRAIC(:,19) - STATES(:,29))./CONSTANTS(:,57);
ALGEBRAIC(:,3) = exp( - (STATES(:,5)+28.0000)./6.90000)./(1.00000+exp( - (STATES(:,5)+28.0000)./6.90000));
ALGEBRAIC(:,22) = ( ( 1.50000.*2.00000).*3.00000)./( 0.0197000.*exp( - power(0.0337000, 2.00000).*power(STATES(:,5)+10.0000, 2.00000))+0.0200000);
RATES(:,7) = (ALGEBRAIC(:,3) - STATES(:,7))./ALGEBRAIC(:,22);
ALGEBRAIC(:,7) = 1.00000./(1.00000+exp( - (STATES(:,5)+5.52000)./8.60000));
ALGEBRAIC(:,25) = ( ( (45.6667./(1.00000+exp((STATES(:,5)+11.2306)./11.5255))+4.26754).*(0.262186./(1.00000+exp((STATES(:,5)+35.8658)./ - 3.87511))+0.291755)).*1.00000)./CONSTANTS(:,33);
RATES(:,13) = (ALGEBRAIC(:,7) - STATES(:,13))./ALGEBRAIC(:,25);
ALGEBRAIC(:,8) = 0.524240./(1.00000+exp((STATES(:,5)+15.1142)./7.56702))+0.458078;
ALGEBRAIC(:,26) = (2328.00./(1.00000+exp((STATES(:,5) - 9.43500)./3.58270))+1739.14)./CONSTANTS(:,33);
RATES(:,14) = (ALGEBRAIC(:,8) - STATES(:,14))./ALGEBRAIC(:,26);
ALGEBRAIC(:,9) = piecewise({STATES(:,5)>= - 40.0000, 0.00000 }, 0.135000.*exp((STATES(:,5)+80.0000)./ - 6.80000));
ALGEBRAIC(:,27) = piecewise({STATES(:,5)>= - 40.0000, 1.00000./( 0.130000.*(1.00000+exp((STATES(:,5)+10.6600)./ - 11.1000))) }, 3.56000.*exp( 0.0790000.*STATES(:,5))+ 310000..*exp( 0.350000.*STATES(:,5)));
RATES(:,17) = ALGEBRAIC(:,9).*(1.00000 - STATES(:,17)) - ALGEBRAIC(:,27).*STATES(:,17);
ALGEBRAIC(:,10) = piecewise({STATES(:,5)>= - 40.0000, 0.00000 }, ( ( - 127140..*exp( 0.244400.*STATES(:,5)) - 3.47400e-05.*exp( - 0.0439100.*STATES(:,5))).*(STATES(:,5)+37.7800))./(1.00000+exp( 0.311000.*(STATES(:,5)+79.2300))));
ALGEBRAIC(:,28) = piecewise({STATES(:,5)>= - 40.0000, ( 0.300000.*exp( - 2.53500e-07.*STATES(:,5)))./(1.00000+exp( - 0.100000.*(STATES(:,5)+32.0000))) }, ( 0.121200.*exp( - 0.0105200.*STATES(:,5)))./(1.00000+exp( - 0.137800.*(STATES(:,5)+40.1400))));
RATES(:,18) = ALGEBRAIC(:,10).*(1.00000 - STATES(:,18)) - ALGEBRAIC(:,28).*STATES(:,18);
ALGEBRAIC(:,11) = piecewise({abs(STATES(:,5)+47.1300)<1.00000e-10, 3.20000 }, ( 0.320000.*(STATES(:,5)+47.1300))./(1.00000 - exp( - 0.100000.*(STATES(:,5)+47.1300))));
ALGEBRAIC(:,29) = 0.0800000.*exp( - STATES(:,5)./11.0000);
RATES(:,19) = ALGEBRAIC(:,11).*(1.00000 - STATES(:,19)) - ALGEBRAIC(:,29).*STATES(:,19);
ALGEBRAIC(:,12) = 1.00000./(1.00000+exp((STATES(:,5) - 1.00000)./ - 11.0000));
ALGEBRAIC(:,30) = 3.50000.*exp( - (STATES(:,5)./30.0000).*2.00000)+1.50000;
RATES(:,21) = (ALGEBRAIC(:,12) - STATES(:,21))./ALGEBRAIC(:,30);
ALGEBRAIC(:,13) = 1.00000./(1.00000+exp((STATES(:,5)+40.5000)./11.5000));
ALGEBRAIC(:,31) = 25.6350.*exp( - ((STATES(:,5)+52.4500)./15.8827).*2.00000)+14.1400;
RATES(:,22) = (ALGEBRAIC(:,13) - STATES(:,22))./ALGEBRAIC(:,31);
ALGEBRAIC(:,21) = 1.00000./(1.00000+exp((STATES(:,5)+10.0000)./ - 8.00000));
ALGEBRAIC(:,2) = 1.00000./(1.00000+exp((STATES(:,5)+10.0000)./ - 6.24000));
ALGEBRAIC(:,33) = piecewise({abs(STATES(:,5)+10.0000)<1.00000e-10, ALGEBRAIC(:,2).*4.57900 }, ( ALGEBRAIC(:,2).*(1.00000 - exp((STATES(:,5)+10.0000)./ - 6.24000)))./( 0.0350000.*(STATES(:,5)+10.0000)));
RATES(:,6) = (ALGEBRAIC(:,21) - STATES(:,6))./ALGEBRAIC(:,33);
ALGEBRAIC(:,34) = 1.00000./(1.00000+exp((STATES(:,5)+14.1000)./ - 6.50000));
ALGEBRAIC(:,5) = piecewise({abs(STATES(:,5)+14.1000)<1.00000e-10, 0.00150000 }, ( 0.000300000.*(STATES(:,5)+14.1000))./(1.00000 - exp((STATES(:,5)+14.1000)./ - 5.00000)));
ALGEBRAIC(:,23) = piecewise({abs(STATES(:,5) - 3.33280)<1.00000e-10, 0.000378361 }, ( 7.38980e-05.*(STATES(:,5) - 3.33280))./(exp((STATES(:,5) - 3.33280)./5.12370) - 1.00000));
ALGEBRAIC(:,38) = 1.00000./(ALGEBRAIC(:,5)+ALGEBRAIC(:,23));
RATES(:,9) = (ALGEBRAIC(:,34) - STATES(:,9))./ALGEBRAIC(:,38);
ALGEBRAIC(:,35) = power((1.00000./(1.00000+exp((STATES(:,5) - 19.9000)./ - 12.7000))), 1.0 ./ 2);
ALGEBRAIC(:,6) = piecewise({abs(STATES(:,5) - 19.9000)<1.00000e-10, 0.000680000 }, ( 4.00000e-05.*(STATES(:,5) - 19.9000))./(1.00000 - exp((STATES(:,5) - 19.9000)./ - 17.0000)));
ALGEBRAIC(:,24) = piecewise({abs(STATES(:,5) - 19.9000)<1.00000e-10, 0.000315000 }, ( 3.50000e-05.*(STATES(:,5) - 19.9000))./(exp((STATES(:,5) - 19.9000)./9.00000) - 1.00000));
ALGEBRAIC(:,39) = 0.500000./(ALGEBRAIC(:,6)+ALGEBRAIC(:,24));
RATES(:,10) = (ALGEBRAIC(:,35) - STATES(:,10))./ALGEBRAIC(:,39);
ALGEBRAIC(:,1) = ( ( 0.500000.*CONSTANTS(:,20)).*(STATES(:,1) - STATES(:,3))).*CONSTANTS(:,69);
ALGEBRAIC(:,46) = ( ( 0.750000.*( ( - CONSTANTS(:,61).*power(STATES(:,1), 2.00000)).*(CONSTANTS(:,58) - STATES(:,30))+ CONSTANTS(:,62).*STATES(:,30))).*CONSTANTS(:,69)).*2.00000;
ALGEBRAIC(:,42) = 1.00000 - 1.00000./(1.00000+exp((STATES(:,1) - 0.300000)./0.100000));
ALGEBRAIC(:,44) = ( ( ( CONSTANTS(:,90).*STATES(:,28)).*STATES(:,26)).*ALGEBRAIC(:,42)).*(STATES(:,1) - STATES(:,3));
ALGEBRAIC(:,50) = (ALGEBRAIC(:,46) - ALGEBRAIC(:,1)) - ALGEBRAIC(:,44);
ALGEBRAIC(:,36) = 1.00000./(1.00000+( CONSTANTS(:,10).*CONSTANTS(:,15))./power(STATES(:,1)+CONSTANTS(:,15), 2.00000));
RATES(:,1) = ( 1000.00.*ALGEBRAIC(:,36)).*( CONSTANTS(:,12).*(((STATES(:,2) - 2.00000.*STATES(:,1))+STATES(:,1))./CONSTANTS(:,72)+(STATES(:,1) - STATES(:,2))./( ( 2.00000.*3.00000).*CONSTANTS(:,72)))+ALGEBRAIC(:,50)./CONSTANTS(:,70));
ALGEBRAIC(:,48) = ( ( 0.750000.*( ( CONSTANTS(:,59).*power(STATES(:,3), 2.00000)).*(CONSTANTS(:,58) - STATES(:,30)) - CONSTANTS(:,60).*STATES(:,30))).*CONSTANTS(:,69)).*2.00000;
RATES(:,30) = ( - ALGEBRAIC(:,46)+ALGEBRAIC(:,48))./CONSTANTS(:,69);
ALGEBRAIC(:,32) = (( ( 2.50000.*CONSTANTS(:,11)).*CONSTANTS(:,8))./CONSTANTS(:,21)).*(STATES(:,4) - STATES(:,3));
ALGEBRAIC(:,51) = (( - ALGEBRAIC(:,48)+ALGEBRAIC(:,1))+ALGEBRAIC(:,44))+ALGEBRAIC(:,32);
ALGEBRAIC(:,40) = 1.00000./(1.00000+( CONSTANTS(:,9).*CONSTANTS(:,14))./power(STATES(:,3)+CONSTANTS(:,14), 2.00000));
RATES(:,3) = (ALGEBRAIC(:,51)./CONSTANTS(:,69)).*ALGEBRAIC(:,40);
ALGEBRAIC(:,20) = ( ( 0.500000.*CONSTANTS(:,20)).*(STATES(:,2) - STATES(:,4))).*CONSTANTS(:,89);
ALGEBRAIC(:,61) = ( ( 0.750000.*( ( - CONSTANTS(:,61).*power(STATES(:,2), 2.00000)).*(CONSTANTS(:,58) - STATES(:,31))+ CONSTANTS(:,62).*STATES(:,31))).*CONSTANTS(:,89)).*2.00000;
ALGEBRAIC(:,57) = 1.00000 - 1.00000./(1.00000+exp((STATES(:,2) - 0.300000)./0.100000));
ALGEBRAIC(:,59) = ( ( ( CONSTANTS(:,92).*STATES(:,29)).*STATES(:,27)).*ALGEBRAIC(:,57)).*(STATES(:,2) - STATES(:,4));
ALGEBRAIC(:,64) = (ALGEBRAIC(:,61) - ALGEBRAIC(:,20)) - ALGEBRAIC(:,59);
ALGEBRAIC(:,37) = 1.00000./(1.00000+( CONSTANTS(:,10).*CONSTANTS(:,15))./power(STATES(:,2)+CONSTANTS(:,15), 2.00000));
RATES(:,2) = ( 1000.00.*ALGEBRAIC(:,37)).*( CONSTANTS(:,12).*(((STATES(:,2) - 2.00000.*STATES(:,2))+STATES(:,1))./CONSTANTS(:,72)+(STATES(:,2) - STATES(:,1))./( ( 2.00000.*4.00000).*CONSTANTS(:,72)))+ALGEBRAIC(:,64)./CONSTANTS(:,71));
ALGEBRAIC(:,63) = ( ( 0.750000.*( ( CONSTANTS(:,59).*power(STATES(:,4), 2.00000)).*(CONSTANTS(:,58) - STATES(:,31)) - CONSTANTS(:,60).*STATES(:,31))).*CONSTANTS(:,89)).*2.00000;
RATES(:,31) = ( - ALGEBRAIC(:,61)+ALGEBRAIC(:,63))./CONSTANTS(:,89);
ALGEBRAIC(:,43) = ( ( ( ( ( 1.33333.*CONSTANTS(:,22)).*CONSTANTS(:,75)).*STATES(:,6)).*STATES(:,7)).*STATES(:,8)).*(STATES(:,5) - CONSTANTS(:,26));
ALGEBRAIC(:,45) = ( ( ( 1.26000.*CONSTANTS(:,22)).*CONSTANTS(:,28)).*STATES(:,4))./(STATES(:,4)+CONSTANTS(:,29));
ALGEBRAIC(:,47) = (((( ( 1.40000.*CONSTANTS(:,22)).*CONSTANTS(:,46))./(power(CONSTANTS(:,45), 3.00000)+power(CONSTANTS(:,42), 3.00000)))./(CONSTANTS(:,44)+CONSTANTS(:,41)))./(1.00000+ CONSTANTS(:,47).*exp( ( (CONSTANTS(:,43) - 1.00000).*STATES(:,5)).*CONSTANTS(:,78)))).*( ( power(STATES(:,20), 3.00000).*CONSTANTS(:,41)).*exp( ( STATES(:,5).*CONSTANTS(:,43)).*CONSTANTS(:,78)) - ( power(CONSTANTS(:,42), 3.00000).*STATES(:,4)).*exp( ( STATES(:,5).*(CONSTANTS(:,43) - 1.00000)).*CONSTANTS(:,78)));
ALGEBRAIC(:,53) = 13.3500.*log(CONSTANTS(:,41)./STATES(:,3));
ALGEBRAIC(:,54) = ( ( 1.00000.*CONSTANTS(:,22)).*CONSTANTS(:,73)).*(STATES(:,5) - ALGEBRAIC(:,53));
ALGEBRAIC(:,55) = (( - ALGEBRAIC(:,43) - ALGEBRAIC(:,54)) - ALGEBRAIC(:,45))+ 2.00000.*ALGEBRAIC(:,47);
ALGEBRAIC(:,66) = (( - ALGEBRAIC(:,32)+ALGEBRAIC(:,20)) - ALGEBRAIC(:,63))+ALGEBRAIC(:,59);
ALGEBRAIC(:,41) = 1.00000./(((1.00000+( CONSTANTS(:,19).*CONSTANTS(:,17))./power(STATES(:,4)+CONSTANTS(:,17), 2.00000))+( CONSTANTS(:,18).*CONSTANTS(:,16))./power(STATES(:,4)+CONSTANTS(:,16), 2.00000))+( CONSTANTS(:,9).*CONSTANTS(:,14))./power(STATES(:,4)+CONSTANTS(:,14), 2.00000));
RATES(:,4) = ALGEBRAIC(:,41).*(ALGEBRAIC(:,66)./CONSTANTS(:,89)+ALGEBRAIC(:,55)./( ( 2.00000.*CONSTANTS(:,89)).*CONSTANTS(:,13)));
ALGEBRAIC(:,68) = 26.7100.*log(CONSTANTS(:,42)./STATES(:,20));
ALGEBRAIC(:,69) = ( ( 1.70000.*CONSTANTS(:,22)).*CONSTANTS(:,74)).*(STATES(:,5) - ALGEBRAIC(:,68));
ALGEBRAIC(:,70) = ( ( ( ( ( CONSTANTS(:,40).*power(STATES(:,19), 3.00000)).*STATES(:,17)).*STATES(:,18)).*(STATES(:,5) - ALGEBRAIC(:,68))).*CONSTANTS(:,22)).*((1.00000 - STATES(:,15)) - STATES(:,16));
ALGEBRAIC(:,49) = 1.00000./((1.00000+ 0.124500.*exp( ( - 0.100000.*STATES(:,5)).*CONSTANTS(:,78)))+ ( 0.0365000.*CONSTANTS(:,86)).*exp( - STATES(:,5).*CONSTANTS(:,78)));
ALGEBRAIC(:,52) = (( ( ( ( 1.28000.*CONSTANTS(:,22)).*CONSTANTS(:,85)).*ALGEBRAIC(:,49)).*CONSTANTS(:,48))./(CONSTANTS(:,48)+CONSTANTS(:,49)))./(1.00000+power(CONSTANTS(:,50)./STATES(:,20), 4.00000));
RATES(:,20) = ((( - 3.00000.*ALGEBRAIC(:,52) - 3.00000.*ALGEBRAIC(:,47)) - ALGEBRAIC(:,69)) - ALGEBRAIC(:,70))./( CONSTANTS(:,13).*CONSTANTS(:,23));
ALGEBRAIC(:,56) = 26.7100.*log(CONSTANTS(:,48)./STATES(:,23));
ALGEBRAIC(:,58) = ( ( CONSTANTS(:,22).*CONSTANTS(:,30)).*(STATES(:,5) - ALGEBRAIC(:,56)))./(1.00000+exp( 0.0700000.*(STATES(:,5)+80.0000)));
ALGEBRAIC(:,60) = ( ( ( ( CONSTANTS(:,22).*CONSTANTS(:,66)).*CONSTANTS(:,76)).*STATES(:,9)).*(STATES(:,5) - ALGEBRAIC(:,56)))./(1.00000+exp((STATES(:,5)+15.0000)./22.4000));
ALGEBRAIC(:,62) = ( ( ( ( CONSTANTS(:,22).*CONSTANTS(:,67)).*CONSTANTS(:,77)).*STATES(:,10)).*STATES(:,10)).*(STATES(:,5) - ALGEBRAIC(:,56));
ALGEBRAIC(:,65) = ( ( ( ( ( CONSTANTS(:,22).*CONSTANTS(:,82)).*(4.51280+1.89977./(1.00000+exp((STATES(:,5) - 20.5232)./ - 8.26597)))).*((1.00000 - STATES(:,12)) - STATES(:,11))).*STATES(:,13)).*STATES(:,14)).*(STATES(:,5) - ALGEBRAIC(:,56));
ALGEBRAIC(:,67) = ( ( ( ( ( 1.05000.*CONSTANTS(:,68)).*CONSTANTS(:,22)).*CONSTANTS(:,87)).*STATES(:,21)).*STATES(:,22)).*(STATES(:,5) - ALGEBRAIC(:,56));
ALGEBRAIC(:,71) = (((((((((((ALGEBRAIC(:,70))+ALGEBRAIC(:,67))+ALGEBRAIC(:,65))+ALGEBRAIC(:,60))+ALGEBRAIC(:,62))+ALGEBRAIC(:,43))+ALGEBRAIC(:,58))+ALGEBRAIC(:,69))+ALGEBRAIC(:,54))+ALGEBRAIC(:,47))+ALGEBRAIC(:,52))+ALGEBRAIC(:,45);
ALGEBRAIC(:,72) = piecewise({(VOI - CONSTANTS(:,64)) - CONSTANTS(:,65).*floor((VOI - CONSTANTS(:,64))./CONSTANTS(:,65))<CONSTANTS(:,63), 1.00000 }, 0.00000);
ALGEBRAIC(:,73) = CONSTANTS(:,91).*ALGEBRAIC(:,72);
RATES(:,5) = - (ALGEBRAIC(:,71)+ALGEBRAIC(:,73))./CONSTANTS(:,22);
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(:,4) = 1.00000./(1.00000+STATES(:,4)./0.000350000);
ALGEBRAIC(:,14) = 0.505000 - 0.427000./(1.00000+exp(( 2000.00.*STATES(:,3) - 0.290000)./0.0820000));
ALGEBRAIC(:,15) = 0.505000 - 0.427000./(1.00000+exp(( 1000.00.*STATES(:,4) - 0.290000)./0.0820000));
ALGEBRAIC(:,16) = 1.00000./(1.00000+exp(( 2000.00.*STATES(:,3) - (STATES(:,24)+0.0200000))./0.0100000));
ALGEBRAIC(:,17) = 1.00000./(1.00000+exp(( 1000.00.*STATES(:,4) - (STATES(:,25)+0.0200000))./0.0100000));
ALGEBRAIC(:,18) = 1.00000 - 1.00000./(1.00000+exp(( 2000.00.*STATES(:,3) - (STATES(:,24)+0.220000))./0.0300000));
ALGEBRAIC(:,19) = 1.00000 - 1.00000./(1.00000+exp(( 1000.00.*STATES(:,4) - (STATES(:,25)+0.220000))./0.0300000));
ALGEBRAIC(:,3) = exp( - (STATES(:,5)+28.0000)./6.90000)./(1.00000+exp( - (STATES(:,5)+28.0000)./6.90000));
ALGEBRAIC(:,22) = ( ( 1.50000.*2.00000).*3.00000)./( 0.0197000.*exp( - power(0.0337000, 2.00000).*power(STATES(:,5)+10.0000, 2.00000))+0.0200000);
ALGEBRAIC(:,7) = 1.00000./(1.00000+exp( - (STATES(:,5)+5.52000)./8.60000));
ALGEBRAIC(:,25) = ( ( (45.6667./(1.00000+exp((STATES(:,5)+11.2306)./11.5255))+4.26754).*(0.262186./(1.00000+exp((STATES(:,5)+35.8658)./ - 3.87511))+0.291755)).*1.00000)./CONSTANTS(:,33);
ALGEBRAIC(:,8) = 0.524240./(1.00000+exp((STATES(:,5)+15.1142)./7.56702))+0.458078;
ALGEBRAIC(:,26) = (2328.00./(1.00000+exp((STATES(:,5) - 9.43500)./3.58270))+1739.14)./CONSTANTS(:,33);
ALGEBRAIC(:,9) = piecewise({STATES(:,5)>= - 40.0000, 0.00000 }, 0.135000.*exp((STATES(:,5)+80.0000)./ - 6.80000));
ALGEBRAIC(:,27) = piecewise({STATES(:,5)>= - 40.0000, 1.00000./( 0.130000.*(1.00000+exp((STATES(:,5)+10.6600)./ - 11.1000))) }, 3.56000.*exp( 0.0790000.*STATES(:,5))+ 310000..*exp( 0.350000.*STATES(:,5)));
ALGEBRAIC(:,10) = piecewise({STATES(:,5)>= - 40.0000, 0.00000 }, ( ( - 127140..*exp( 0.244400.*STATES(:,5)) - 3.47400e-05.*exp( - 0.0439100.*STATES(:,5))).*(STATES(:,5)+37.7800))./(1.00000+exp( 0.311000.*(STATES(:,5)+79.2300))));
ALGEBRAIC(:,28) = piecewise({STATES(:,5)>= - 40.0000, ( 0.300000.*exp( - 2.53500e-07.*STATES(:,5)))./(1.00000+exp( - 0.100000.*(STATES(:,5)+32.0000))) }, ( 0.121200.*exp( - 0.0105200.*STATES(:,5)))./(1.00000+exp( - 0.137800.*(STATES(:,5)+40.1400))));
ALGEBRAIC(:,11) = piecewise({abs(STATES(:,5)+47.1300)<1.00000e-10, 3.20000 }, ( 0.320000.*(STATES(:,5)+47.1300))./(1.00000 - exp( - 0.100000.*(STATES(:,5)+47.1300))));
ALGEBRAIC(:,29) = 0.0800000.*exp( - STATES(:,5)./11.0000);
ALGEBRAIC(:,12) = 1.00000./(1.00000+exp((STATES(:,5) - 1.00000)./ - 11.0000));
ALGEBRAIC(:,30) = 3.50000.*exp( - (STATES(:,5)./30.0000).*2.00000)+1.50000;
ALGEBRAIC(:,13) = 1.00000./(1.00000+exp((STATES(:,5)+40.5000)./11.5000));
ALGEBRAIC(:,31) = 25.6350.*exp( - ((STATES(:,5)+52.4500)./15.8827).*2.00000)+14.1400;
ALGEBRAIC(:,21) = 1.00000./(1.00000+exp((STATES(:,5)+10.0000)./ - 8.00000));
ALGEBRAIC(:,2) = 1.00000./(1.00000+exp((STATES(:,5)+10.0000)./ - 6.24000));
ALGEBRAIC(:,33) = piecewise({abs(STATES(:,5)+10.0000)<1.00000e-10, ALGEBRAIC(:,2).*4.57900 }, ( ALGEBRAIC(:,2).*(1.00000 - exp((STATES(:,5)+10.0000)./ - 6.24000)))./( 0.0350000.*(STATES(:,5)+10.0000)));
ALGEBRAIC(:,34) = 1.00000./(1.00000+exp((STATES(:,5)+14.1000)./ - 6.50000));
ALGEBRAIC(:,5) = piecewise({abs(STATES(:,5)+14.1000)<1.00000e-10, 0.00150000 }, ( 0.000300000.*(STATES(:,5)+14.1000))./(1.00000 - exp((STATES(:,5)+14.1000)./ - 5.00000)));
ALGEBRAIC(:,23) = piecewise({abs(STATES(:,5) - 3.33280)<1.00000e-10, 0.000378361 }, ( 7.38980e-05.*(STATES(:,5) - 3.33280))./(exp((STATES(:,5) - 3.33280)./5.12370) - 1.00000));
ALGEBRAIC(:,38) = 1.00000./(ALGEBRAIC(:,5)+ALGEBRAIC(:,23));
ALGEBRAIC(:,35) = power((1.00000./(1.00000+exp((STATES(:,5) - 19.9000)./ - 12.7000))), 1.0 ./ 2);
ALGEBRAIC(:,6) = piecewise({abs(STATES(:,5) - 19.9000)<1.00000e-10, 0.000680000 }, ( 4.00000e-05.*(STATES(:,5) - 19.9000))./(1.00000 - exp((STATES(:,5) - 19.9000)./ - 17.0000)));
ALGEBRAIC(:,24) = piecewise({abs(STATES(:,5) - 19.9000)<1.00000e-10, 0.000315000 }, ( 3.50000e-05.*(STATES(:,5) - 19.9000))./(exp((STATES(:,5) - 19.9000)./9.00000) - 1.00000));
ALGEBRAIC(:,39) = 0.500000./(ALGEBRAIC(:,6)+ALGEBRAIC(:,24));
ALGEBRAIC(:,1) = ( ( 0.500000.*CONSTANTS(:,20)).*(STATES(:,1) - STATES(:,3))).*CONSTANTS(:,69);
ALGEBRAIC(:,46) = ( ( 0.750000.*( ( - CONSTANTS(:,61).*power(STATES(:,1), 2.00000)).*(CONSTANTS(:,58) - STATES(:,30))+ CONSTANTS(:,62).*STATES(:,30))).*CONSTANTS(:,69)).*2.00000;
ALGEBRAIC(:,42) = 1.00000 - 1.00000./(1.00000+exp((STATES(:,1) - 0.300000)./0.100000));
ALGEBRAIC(:,44) = ( ( ( CONSTANTS(:,90).*STATES(:,28)).*STATES(:,26)).*ALGEBRAIC(:,42)).*(STATES(:,1) - STATES(:,3));
ALGEBRAIC(:,50) = (ALGEBRAIC(:,46) - ALGEBRAIC(:,1)) - ALGEBRAIC(:,44);
ALGEBRAIC(:,36) = 1.00000./(1.00000+( CONSTANTS(:,10).*CONSTANTS(:,15))./power(STATES(:,1)+CONSTANTS(:,15), 2.00000));
ALGEBRAIC(:,48) = ( ( 0.750000.*( ( CONSTANTS(:,59).*power(STATES(:,3), 2.00000)).*(CONSTANTS(:,58) - STATES(:,30)) - CONSTANTS(:,60).*STATES(:,30))).*CONSTANTS(:,69)).*2.00000;
ALGEBRAIC(:,32) = (( ( 2.50000.*CONSTANTS(:,11)).*CONSTANTS(:,8))./CONSTANTS(:,21)).*(STATES(:,4) - STATES(:,3));
ALGEBRAIC(:,51) = (( - ALGEBRAIC(:,48)+ALGEBRAIC(:,1))+ALGEBRAIC(:,44))+ALGEBRAIC(:,32);
ALGEBRAIC(:,40) = 1.00000./(1.00000+( CONSTANTS(:,9).*CONSTANTS(:,14))./power(STATES(:,3)+CONSTANTS(:,14), 2.00000));
ALGEBRAIC(:,20) = ( ( 0.500000.*CONSTANTS(:,20)).*(STATES(:,2) - STATES(:,4))).*CONSTANTS(:,89);
ALGEBRAIC(:,61) = ( ( 0.750000.*( ( - CONSTANTS(:,61).*power(STATES(:,2), 2.00000)).*(CONSTANTS(:,58) - STATES(:,31))+ CONSTANTS(:,62).*STATES(:,31))).*CONSTANTS(:,89)).*2.00000;
ALGEBRAIC(:,57) = 1.00000 - 1.00000./(1.00000+exp((STATES(:,2) - 0.300000)./0.100000));
ALGEBRAIC(:,59) = ( ( ( CONSTANTS(:,92).*STATES(:,29)).*STATES(:,27)).*ALGEBRAIC(:,57)).*(STATES(:,2) - STATES(:,4));
ALGEBRAIC(:,64) = (ALGEBRAIC(:,61) - ALGEBRAIC(:,20)) - ALGEBRAIC(:,59);
ALGEBRAIC(:,37) = 1.00000./(1.00000+( CONSTANTS(:,10).*CONSTANTS(:,15))./power(STATES(:,2)+CONSTANTS(:,15), 2.00000));
ALGEBRAIC(:,63) = ( ( 0.750000.*( ( CONSTANTS(:,59).*power(STATES(:,4), 2.00000)).*(CONSTANTS(:,58) - STATES(:,31)) - CONSTANTS(:,60).*STATES(:,31))).*CONSTANTS(:,89)).*2.00000;
ALGEBRAIC(:,43) = ( ( ( ( ( 1.33333.*CONSTANTS(:,22)).*CONSTANTS(:,75)).*STATES(:,6)).*STATES(:,7)).*STATES(:,8)).*(STATES(:,5) - CONSTANTS(:,26));
ALGEBRAIC(:,45) = ( ( ( 1.26000.*CONSTANTS(:,22)).*CONSTANTS(:,28)).*STATES(:,4))./(STATES(:,4)+CONSTANTS(:,29));
ALGEBRAIC(:,47) = (((( ( 1.40000.*CONSTANTS(:,22)).*CONSTANTS(:,46))./(power(CONSTANTS(:,45), 3.00000)+power(CONSTANTS(:,42), 3.00000)))./(CONSTANTS(:,44)+CONSTANTS(:,41)))./(1.00000+ CONSTANTS(:,47).*exp( ( (CONSTANTS(:,43) - 1.00000).*STATES(:,5)).*CONSTANTS(:,78)))).*( ( power(STATES(:,20), 3.00000).*CONSTANTS(:,41)).*exp( ( STATES(:,5).*CONSTANTS(:,43)).*CONSTANTS(:,78)) - ( power(CONSTANTS(:,42), 3.00000).*STATES(:,4)).*exp( ( STATES(:,5).*(CONSTANTS(:,43) - 1.00000)).*CONSTANTS(:,78)));
ALGEBRAIC(:,53) = 13.3500.*log(CONSTANTS(:,41)./STATES(:,3));
ALGEBRAIC(:,54) = ( ( 1.00000.*CONSTANTS(:,22)).*CONSTANTS(:,73)).*(STATES(:,5) - ALGEBRAIC(:,53));
ALGEBRAIC(:,55) = (( - ALGEBRAIC(:,43) - ALGEBRAIC(:,54)) - ALGEBRAIC(:,45))+ 2.00000.*ALGEBRAIC(:,47);
ALGEBRAIC(:,66) = (( - ALGEBRAIC(:,32)+ALGEBRAIC(:,20)) - ALGEBRAIC(:,63))+ALGEBRAIC(:,59);
ALGEBRAIC(:,41) = 1.00000./(((1.00000+( CONSTANTS(:,19).*CONSTANTS(:,17))./power(STATES(:,4)+CONSTANTS(:,17), 2.00000))+( CONSTANTS(:,18).*CONSTANTS(:,16))./power(STATES(:,4)+CONSTANTS(:,16), 2.00000))+( CONSTANTS(:,9).*CONSTANTS(:,14))./power(STATES(:,4)+CONSTANTS(:,14), 2.00000));
ALGEBRAIC(:,68) = 26.7100.*log(CONSTANTS(:,42)./STATES(:,20));
ALGEBRAIC(:,69) = ( ( 1.70000.*CONSTANTS(:,22)).*CONSTANTS(:,74)).*(STATES(:,5) - ALGEBRAIC(:,68));
ALGEBRAIC(:,70) = ( ( ( ( ( CONSTANTS(:,40).*power(STATES(:,19), 3.00000)).*STATES(:,17)).*STATES(:,18)).*(STATES(:,5) - ALGEBRAIC(:,68))).*CONSTANTS(:,22)).*((1.00000 - STATES(:,15)) - STATES(:,16));
ALGEBRAIC(:,49) = 1.00000./((1.00000+ 0.124500.*exp( ( - 0.100000.*STATES(:,5)).*CONSTANTS(:,78)))+ ( 0.0365000.*CONSTANTS(:,86)).*exp( - STATES(:,5).*CONSTANTS(:,78)));
ALGEBRAIC(:,52) = (( ( ( ( 1.28000.*CONSTANTS(:,22)).*CONSTANTS(:,85)).*ALGEBRAIC(:,49)).*CONSTANTS(:,48))./(CONSTANTS(:,48)+CONSTANTS(:,49)))./(1.00000+power(CONSTANTS(:,50)./STATES(:,20), 4.00000));
ALGEBRAIC(:,56) = 26.7100.*log(CONSTANTS(:,48)./STATES(:,23));
ALGEBRAIC(:,58) = ( ( CONSTANTS(:,22).*CONSTANTS(:,30)).*(STATES(:,5) - ALGEBRAIC(:,56)))./(1.00000+exp( 0.0700000.*(STATES(:,5)+80.0000)));
ALGEBRAIC(:,60) = ( ( ( ( CONSTANTS(:,22).*CONSTANTS(:,66)).*CONSTANTS(:,76)).*STATES(:,9)).*(STATES(:,5) - ALGEBRAIC(:,56)))./(1.00000+exp((STATES(:,5)+15.0000)./22.4000));
ALGEBRAIC(:,62) = ( ( ( ( CONSTANTS(:,22).*CONSTANTS(:,67)).*CONSTANTS(:,77)).*STATES(:,10)).*STATES(:,10)).*(STATES(:,5) - ALGEBRAIC(:,56));
ALGEBRAIC(:,65) = ( ( ( ( ( CONSTANTS(:,22).*CONSTANTS(:,82)).*(4.51280+1.89977./(1.00000+exp((STATES(:,5) - 20.5232)./ - 8.26597)))).*((1.00000 - STATES(:,12)) - STATES(:,11))).*STATES(:,13)).*STATES(:,14)).*(STATES(:,5) - ALGEBRAIC(:,56));
ALGEBRAIC(:,67) = ( ( ( ( ( 1.05000.*CONSTANTS(:,68)).*CONSTANTS(:,22)).*CONSTANTS(:,87)).*STATES(:,21)).*STATES(:,22)).*(STATES(:,5) - ALGEBRAIC(:,56));
ALGEBRAIC(:,71) = (((((((((((ALGEBRAIC(:,70))+ALGEBRAIC(:,67))+ALGEBRAIC(:,65))+ALGEBRAIC(:,60))+ALGEBRAIC(:,62))+ALGEBRAIC(:,43))+ALGEBRAIC(:,58))+ALGEBRAIC(:,69))+ALGEBRAIC(:,54))+ALGEBRAIC(:,47))+ALGEBRAIC(:,52))+ALGEBRAIC(:,45);
ALGEBRAIC(:,72) = piecewise({(VOI - CONSTANTS(:,64)) - CONSTANTS(:,65).*floor((VOI - CONSTANTS(:,64))./CONSTANTS(:,65))<CONSTANTS(:,63), 1.00000 }, 0.00000);
ALGEBRAIC(:,73) = CONSTANTS(:,91).*ALGEBRAIC(:,72);
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