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 =40;
end
% There are a total of 15 entries in each of the rate and state variable arrays.
% There are a total of 55 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 (second)');
LEGEND_STATES(:,1) = strpad('V in component membrane (millivolt)');
LEGEND_CONSTANTS(:,1) = strpad('R in component membrane (joule_per_kilomole_kelvin)');
LEGEND_CONSTANTS(:,2) = strpad('T in component membrane (kelvin)');
LEGEND_CONSTANTS(:,3) = strpad('F in component membrane (coulomb_per_mole)');
LEGEND_CONSTANTS(:,50) = strpad('RTONF in component membrane (millivolt)');
LEGEND_CONSTANTS(:,4) = strpad('C_m in component membrane (microF)');
LEGEND_ALGEBRAIC(:,25) = strpad('i_K1 in component time_independent_potassium_current (nanoA)');
LEGEND_ALGEBRAIC(:,19) = strpad('i_b_Na in component sodium_background_current (nanoA)');
LEGEND_ALGEBRAIC(:,21) = strpad('i_b_Ca in component calcium_background_current (nanoA)');
LEGEND_ALGEBRAIC(:,24) = strpad('i_b_K in component potassium_background_current (nanoA)');
LEGEND_ALGEBRAIC(:,15) = strpad('i_NaK in component sodium_potassium_pump (nanoA)');
LEGEND_ALGEBRAIC(:,22) = strpad('i_NaCa in component Na_Ca_exchanger (nanoA)');
LEGEND_ALGEBRAIC(:,13) = strpad('i_Na in component fast_sodium_current (nanoA)');
LEGEND_ALGEBRAIC(:,36) = strpad('i_si in component second_inward_calcium_current (nanoA)');
LEGEND_ALGEBRAIC(:,4) = strpad('i_Stim in component membrane (nanoA)');
LEGEND_CONSTANTS(:,5) = strpad('stim_start in component membrane (second)');
LEGEND_CONSTANTS(:,6) = strpad('stim_end in component membrane (second)');
LEGEND_CONSTANTS(:,7) = strpad('stim_period in component membrane (second)');
LEGEND_CONSTANTS(:,8) = strpad('stim_duration in component membrane (second)');
LEGEND_CONSTANTS(:,9) = strpad('stim_amplitude in component membrane (nanoA)');
LEGEND_CONSTANTS(:,10) = strpad('g_Na in component fast_sodium_current (microS)');
LEGEND_ALGEBRAIC(:,9) = strpad('E_mh in component fast_sodium_current (millivolt)');
LEGEND_CONSTANTS(:,11) = strpad('Na_o in component extracellular_sodium_concentration (millimolar)');
LEGEND_STATES(:,2) = strpad('Na_i in component intracellular_sodium_concentration (millimolar)');
LEGEND_CONSTANTS(:,12) = strpad('K_c in component extracellular_potassium_concentration (millimolar)');
LEGEND_STATES(:,3) = strpad('K_i in component intracellular_potassium_concentration (millimolar)');
LEGEND_STATES(:,4) = strpad('m in component fast_sodium_current_m_gate (dimensionless)');
LEGEND_STATES(:,5) = strpad('h in component fast_sodium_current_h_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,6) = strpad('alpha_m in component fast_sodium_current_m_gate (per_second)');
LEGEND_ALGEBRAIC(:,11) = strpad('beta_m in component fast_sodium_current_m_gate (per_second)');
LEGEND_CONSTANTS(:,13) = strpad('delta_m in component fast_sodium_current_m_gate (millivolt)');
LEGEND_ALGEBRAIC(:,1) = strpad('E0_m in component fast_sodium_current_m_gate (millivolt)');
LEGEND_ALGEBRAIC(:,2) = strpad('alpha_h in component fast_sodium_current_h_gate (per_second)');
LEGEND_ALGEBRAIC(:,7) = strpad('beta_h in component fast_sodium_current_h_gate (per_second)');
LEGEND_CONSTANTS(:,14) = strpad('i_NaK_max in component sodium_potassium_pump (nanoA)');
LEGEND_CONSTANTS(:,15) = strpad('K_mK in component sodium_potassium_pump (millimolar)');
LEGEND_CONSTANTS(:,16) = strpad('K_mNa in component sodium_potassium_pump (millimolar)');
LEGEND_ALGEBRAIC(:,17) = strpad('E_Na in component sodium_background_current (millivolt)');
LEGEND_CONSTANTS(:,17) = strpad('g_b_Na in component sodium_background_current (microS)');
LEGEND_ALGEBRAIC(:,20) = strpad('E_Ca in component calcium_background_current (millivolt)');
LEGEND_CONSTANTS(:,18) = strpad('g_b_Ca in component calcium_background_current (microS)');
LEGEND_STATES(:,6) = strpad('Ca_o in component extracellular_calcium_concentration (millimolar)');
LEGEND_STATES(:,7) = strpad('Ca_i in component intracellular_calcium_concentration (millimolar)');
LEGEND_CONSTANTS(:,19) = strpad('k_NaCa in component Na_Ca_exchanger (nanoA)');
LEGEND_CONSTANTS(:,20) = strpad('n_NaCa in component Na_Ca_exchanger (dimensionless)');
LEGEND_CONSTANTS(:,21) = strpad('d_NaCa in component Na_Ca_exchanger (dimensionless)');
LEGEND_CONSTANTS(:,22) = strpad('gamma in component Na_Ca_exchanger (dimensionless)');
LEGEND_ALGEBRAIC(:,23) = strpad('E_K in component time_independent_potassium_current (millivolt)');
LEGEND_CONSTANTS(:,23) = strpad('g_b_K in component potassium_background_current (microS)');
LEGEND_CONSTANTS(:,24) = strpad('g_K1 in component time_independent_potassium_current (microS)');
LEGEND_CONSTANTS(:,25) = strpad('K_m_K1 in component time_independent_potassium_current (millimolar)');
LEGEND_ALGEBRAIC(:,31) = strpad('i_siCa in component second_inward_calcium_current (nanoA)');
LEGEND_ALGEBRAIC(:,32) = strpad('i_siK in component second_inward_calcium_current (nanoA)');
LEGEND_ALGEBRAIC(:,34) = strpad('i_siNa in component second_inward_calcium_current (nanoA)');
LEGEND_CONSTANTS(:,26) = strpad('P_si in component second_inward_calcium_current (nanoA_per_millimolar)');
LEGEND_STATES(:,8) = strpad('d in component second_inward_calcium_current_d_gate (dimensionless)');
LEGEND_STATES(:,9) = strpad('f_Ca in component second_inward_calcium_current_f_Ca_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,30) = strpad('CaChon in component second_inward_calcium_current_f_Ca_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,8) = strpad('alpha_d in component second_inward_calcium_current_d_gate (per_second)');
LEGEND_ALGEBRAIC(:,12) = strpad('beta_d in component second_inward_calcium_current_d_gate (per_second)');
LEGEND_CONSTANTS(:,27) = strpad('delta_d in component second_inward_calcium_current_d_gate (millivolt)');
LEGEND_ALGEBRAIC(:,3) = strpad('E0_d in component second_inward_calcium_current_d_gate (millivolt)');
LEGEND_ALGEBRAIC(:,27) = strpad('alpha_f_Ca in component second_inward_calcium_current_f_Ca_gate (per_second)');
LEGEND_ALGEBRAIC(:,28) = strpad('beta_f_Ca in component second_inward_calcium_current_f_Ca_gate (per_second)');
LEGEND_ALGEBRAIC(:,29) = strpad('CaChoff in component second_inward_calcium_current_f_Ca_gate (dimensionless)');
LEGEND_CONSTANTS(:,28) = strpad('delta_f in component second_inward_calcium_current_f_Ca_gate (millivolt)');
LEGEND_ALGEBRAIC(:,26) = strpad('E0_f in component second_inward_calcium_current_f_Ca_gate (millivolt)');
LEGEND_ALGEBRAIC(:,35) = strpad('i_up in component sarcoplasmic_reticulum_calcium_pump (millimolar_per_second)');
LEGEND_CONSTANTS(:,52) = strpad('K_1 in component sarcoplasmic_reticulum_calcium_pump (dimensionless)');
LEGEND_ALGEBRAIC(:,33) = strpad('K_2 in component sarcoplasmic_reticulum_calcium_pump (millimolar)');
LEGEND_CONSTANTS(:,29) = strpad('K_cyca in component sarcoplasmic_reticulum_calcium_pump (millimolar)');
LEGEND_CONSTANTS(:,30) = strpad('K_xcs in component sarcoplasmic_reticulum_calcium_pump (dimensionless)');
LEGEND_CONSTANTS(:,31) = strpad('K_srca in component sarcoplasmic_reticulum_calcium_pump (millimolar)');
LEGEND_CONSTANTS(:,32) = strpad('alpha_up in component sarcoplasmic_reticulum_calcium_pump (millimolar_per_second)');
LEGEND_CONSTANTS(:,33) = strpad('beta_up in component sarcoplasmic_reticulum_calcium_pump (millimolar_per_second)');
LEGEND_STATES(:,10) = strpad('Ca_up in component intracellular_calcium_concentration (millimolar)');
LEGEND_ALGEBRAIC(:,37) = strpad('i_rel in component calcium_release (millimolar_per_second)');
LEGEND_ALGEBRAIC(:,10) = strpad('VoltDep in component calcium_release (dimensionless)');
LEGEND_ALGEBRAIC(:,14) = strpad('RegBindSite in component calcium_release (dimensionless)');
LEGEND_ALGEBRAIC(:,16) = strpad('ActRate in component calcium_release (per_second)');
LEGEND_ALGEBRAIC(:,18) = strpad('InactRate in component calcium_release (per_second)');
LEGEND_CONSTANTS(:,34) = strpad('K_leak_rate in component calcium_release (per_second)');
LEGEND_CONSTANTS(:,35) = strpad('K_m_rel in component calcium_release (per_second)');
LEGEND_ALGEBRAIC(:,5) = strpad('PrecFrac in component calcium_release (dimensionless)');
LEGEND_STATES(:,11) = strpad('ActFrac in component calcium_release (dimensionless)');
LEGEND_STATES(:,12) = strpad('ProdFrac in component calcium_release (dimensionless)');
LEGEND_STATES(:,13) = strpad('Ca_rel in component intracellular_calcium_concentration (millimolar)');
LEGEND_ALGEBRAIC(:,38) = strpad('i_trans in component calcium_translocation (millimolar_per_second)');
LEGEND_CONSTANTS(:,36) = strpad('alpha_tr in component calcium_translocation (per_second)');
LEGEND_CONSTANTS(:,55) = strpad('V_i in component intracellular_calcium_concentration (micrometre3)');
LEGEND_CONSTANTS(:,37) = strpad('Cab in component extracellular_calcium_concentration (millimolar)');
LEGEND_CONSTANTS(:,38) = strpad('K_diff in component extracellular_calcium_concentration (per_second)');
LEGEND_CONSTANTS(:,54) = strpad('Ve in component intracellular_calcium_concentration (micrometre3)');
LEGEND_STATES(:,14) = strpad('Ca_Calmod in component intracellular_calcium_concentration (millimolar)');
LEGEND_STATES(:,15) = strpad('Ca_Trop in component intracellular_calcium_concentration (millimolar)');
LEGEND_CONSTANTS(:,39) = strpad('Calmod in component intracellular_calcium_concentration (millimolar)');
LEGEND_CONSTANTS(:,40) = strpad('Trop in component intracellular_calcium_concentration (millimolar)');
LEGEND_CONSTANTS(:,41) = strpad('alpha_Calmod in component intracellular_calcium_concentration (per_millimolar_second)');
LEGEND_CONSTANTS(:,42) = strpad('beta_Calmod in component intracellular_calcium_concentration (per_second)');
LEGEND_CONSTANTS(:,43) = strpad('alpha_Trop in component intracellular_calcium_concentration (per_millimolar_second)');
LEGEND_CONSTANTS(:,44) = strpad('beta_Trop in component intracellular_calcium_concentration (per_second)');
LEGEND_CONSTANTS(:,45) = strpad('radius in component intracellular_calcium_concentration (micrometre)');
LEGEND_CONSTANTS(:,46) = strpad('length in component intracellular_calcium_concentration (micrometre)');
LEGEND_CONSTANTS(:,51) = strpad('V_Cell in component intracellular_calcium_concentration (micrometre3)');
LEGEND_CONSTANTS(:,53) = strpad('V_i_ratio in component intracellular_calcium_concentration (dimensionless)');
LEGEND_CONSTANTS(:,47) = strpad('V_rel_ratio in component intracellular_calcium_concentration (dimensionless)');
LEGEND_CONSTANTS(:,48) = strpad('V_e_ratio in component intracellular_calcium_concentration (dimensionless)');
LEGEND_CONSTANTS(:,49) = strpad('V_up_ratio in component intracellular_calcium_concentration (dimensionless)');
LEGEND_ALGEBRAIC(:,39) = strpad('dCaCalmoddt in component intracellular_calcium_concentration (millimolar_per_second)');
LEGEND_ALGEBRAIC(:,40) = strpad('dCaTropdt in component intracellular_calcium_concentration (millimolar_per_second)');
LEGEND_RATES(:,1) = strpad('d/dt V in component membrane (millivolt)');
LEGEND_RATES(:,4) = strpad('d/dt m in component fast_sodium_current_m_gate (dimensionless)');
LEGEND_RATES(:,5) = strpad('d/dt h in component fast_sodium_current_h_gate (dimensionless)');
LEGEND_RATES(:,8) = strpad('d/dt d in component second_inward_calcium_current_d_gate (dimensionless)');
LEGEND_RATES(:,9) = strpad('d/dt f_Ca in component second_inward_calcium_current_f_Ca_gate (dimensionless)');
LEGEND_RATES(:,11) = strpad('d/dt ActFrac in component calcium_release (dimensionless)');
LEGEND_RATES(:,12) = strpad('d/dt ProdFrac in component calcium_release (dimensionless)');
LEGEND_RATES(:,2) = strpad('d/dt Na_i in component intracellular_sodium_concentration (millimolar)');
LEGEND_RATES(:,6) = strpad('d/dt Ca_o in component extracellular_calcium_concentration (millimolar)');
LEGEND_RATES(:,3) = strpad('d/dt K_i in component intracellular_potassium_concentration (millimolar)');
LEGEND_RATES(:,7) = strpad('d/dt Ca_i in component intracellular_calcium_concentration (millimolar)');
LEGEND_RATES(:,10) = strpad('d/dt Ca_up in component intracellular_calcium_concentration (millimolar)');
LEGEND_RATES(:,13) = strpad('d/dt Ca_rel in component intracellular_calcium_concentration (millimolar)');
LEGEND_RATES(:,14) = strpad('d/dt Ca_Calmod in component intracellular_calcium_concentration (millimolar)');
LEGEND_RATES(:,15) = strpad('d/dt Ca_Trop in component intracellular_calcium_concentration (millimolar)');
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) = -88;
CONSTANTS(:,1) = 8314.472;
CONSTANTS(:,2) = 310;
CONSTANTS(:,3) = 96485.3415;
CONSTANTS(:,4) = 0.006;
CONSTANTS(:,5) = 0.1;
CONSTANTS(:,6) = 10000;
CONSTANTS(:,7) = 1;
CONSTANTS(:,8) = 0.002;
CONSTANTS(:,9) = -200;
CONSTANTS(:,10) = 50;
CONSTANTS(:,11) = 140;
STATES(:,2) = 6.5;
CONSTANTS(:,12) = 4;
STATES(:,3) = 140;
STATES(:,4) = 0.076;
STATES(:,5) = 0.015;
CONSTANTS(:,13) = 1e-5;
CONSTANTS(:,14) = 14;
CONSTANTS(:,15) = 1;
CONSTANTS(:,16) = 40;
CONSTANTS(:,17) = 0.012;
CONSTANTS(:,18) = 0.005;
STATES(:,6) = 2;
STATES(:,7) = 1e-5;
CONSTANTS(:,19) = 0.01;
CONSTANTS(:,20) = 3;
CONSTANTS(:,21) = 0.0001;
CONSTANTS(:,22) = 0.5;
CONSTANTS(:,23) = 0.17;
CONSTANTS(:,24) = 1.7;
CONSTANTS(:,25) = 10;
CONSTANTS(:,26) = 5;
STATES(:,8) = 0.0011;
STATES(:,9) = 0.785;
CONSTANTS(:,27) = 0.0001;
CONSTANTS(:,28) = 0.0001;
CONSTANTS(:,29) = 0.0003;
CONSTANTS(:,30) = 0.4;
CONSTANTS(:,31) = 0.5;
CONSTANTS(:,32) = 3;
CONSTANTS(:,33) = 0.23;
STATES(:,10) = 0.3;
CONSTANTS(:,34) = 0;
CONSTANTS(:,35) = 250;
STATES(:,11) = 0;
STATES(:,12) = 0;
STATES(:,13) = 0.3;
CONSTANTS(:,36) = 50;
CONSTANTS(:,37) = 2;
CONSTANTS(:,38) = 0.0005;
STATES(:,14) = 0.0005;
STATES(:,15) = 0.0015;
CONSTANTS(:,39) = 0.02;
CONSTANTS(:,40) = 0.15;
CONSTANTS(:,41) = 100000;
CONSTANTS(:,42) = 50;
CONSTANTS(:,43) = 100000;
CONSTANTS(:,44) = 200;
CONSTANTS(:,45) = 0.08;
CONSTANTS(:,46) = 0.08;
CONSTANTS(:,47) = 0.1;
CONSTANTS(:,48) = 0.4;
CONSTANTS(:,49) = 0.01;
CONSTANTS(:,50) = ( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3);
CONSTANTS(:,51) = 3.14159.*power(CONSTANTS(:,45), 2.00000).*CONSTANTS(:,46);
CONSTANTS(:,52) = ( CONSTANTS(:,29).*CONSTANTS(:,30))./CONSTANTS(:,31);
CONSTANTS(:,53) = ((1.00000 - CONSTANTS(:,48)) - CONSTANTS(:,49)) - CONSTANTS(:,47);
CONSTANTS(:,54) = CONSTANTS(:,51).*CONSTANTS(:,48);
CONSTANTS(:,55) = CONSTANTS(:,51).*CONSTANTS(:,53);
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(:,14) = CONSTANTS(:,41).*STATES(:,7).*(CONSTANTS(:,39) - STATES(:,14)) - CONSTANTS(:,42).*STATES(:,14);
RATES(:,15) = CONSTANTS(:,43).*STATES(:,7).*(CONSTANTS(:,40) - STATES(:,15)) - CONSTANTS(:,44).*STATES(:,15);
ALGEBRAIC(:,2) = 20.0000.*exp( - 0.125000.*(STATES(:,1)+75.0000));
ALGEBRAIC(:,7) = 2000.00./(1.00000+ 320.000.*exp( - 0.100000.*(STATES(:,1)+75.0000)));
RATES(:,5) = ALGEBRAIC(:,2).*(1.00000 - STATES(:,5)) - ALGEBRAIC(:,7).*STATES(:,5);
ALGEBRAIC(:,1) = STATES(:,1)+41.0000;
ALGEBRAIC(:,6) = piecewise({abs(ALGEBRAIC(:,1))<CONSTANTS(:,13), 2000.00 }, ( 200.000.*ALGEBRAIC(:,1))./(1.00000 - exp( - 0.100000.*ALGEBRAIC(:,1))));
ALGEBRAIC(:,11) = 8000.00.*exp( - 0.0560000.*(STATES(:,1)+66.0000));
RATES(:,4) = ALGEBRAIC(:,6).*(1.00000 - STATES(:,4)) - ALGEBRAIC(:,11).*STATES(:,4);
ALGEBRAIC(:,3) = (STATES(:,1)+24.0000) - 5.00000;
ALGEBRAIC(:,8) = piecewise({abs(ALGEBRAIC(:,3))<CONSTANTS(:,27), 120.000 }, ( 30.0000.*ALGEBRAIC(:,3))./(1.00000 - exp(( - 1.00000.*ALGEBRAIC(:,3))./4.00000)));
ALGEBRAIC(:,12) = piecewise({abs(ALGEBRAIC(:,3))<CONSTANTS(:,27), 120.000 }, ( 12.0000.*ALGEBRAIC(:,3))./(exp(ALGEBRAIC(:,3)./10.0000) - 1.00000));
RATES(:,8) = ALGEBRAIC(:,8).*(1.00000 - STATES(:,8)) - ALGEBRAIC(:,12).*STATES(:,8);
ALGEBRAIC(:,10) = exp( 0.0800000.*(STATES(:,1) - 40.0000));
ALGEBRAIC(:,14) = power(STATES(:,7)./(STATES(:,7)+0.000500000), 2.00000);
ALGEBRAIC(:,16) = 600.000.*ALGEBRAIC(:,10)+ 500.000.*ALGEBRAIC(:,14);
ALGEBRAIC(:,18) = 60.0000+ 500.000.*ALGEBRAIC(:,14);
ALGEBRAIC(:,5) = (1.00000 - STATES(:,11)) - STATES(:,12);
RATES(:,11) = ALGEBRAIC(:,5).*ALGEBRAIC(:,16) - STATES(:,11).*ALGEBRAIC(:,18);
RATES(:,12) = STATES(:,11).*ALGEBRAIC(:,18) - 0.600000.*STATES(:,12);
ALGEBRAIC(:,26) = STATES(:,1)+34.0000;
ALGEBRAIC(:,27) = piecewise({abs(ALGEBRAIC(:,26))<CONSTANTS(:,28), 25.0000 }, ( 6.25000.*ALGEBRAIC(:,26))./(exp(ALGEBRAIC(:,26)./4.00000) - 1.00000));
ALGEBRAIC(:,28) = 12.0000./(1.00000+exp( - ALGEBRAIC(:,26)./4.00000));
ALGEBRAIC(:,29) = STATES(:,7)./(0.00100000+STATES(:,7));
RATES(:,9) = ( 120.000.*(1.00000 - STATES(:,9)).*ALGEBRAIC(:,29)+ (1.00000 - STATES(:,9)).*(1.00000 - ALGEBRAIC(:,29))).*ALGEBRAIC(:,28) - ALGEBRAIC(:,27).*STATES(:,9);
ALGEBRAIC(:,20) = 0.500000.*CONSTANTS(:,50).*log(STATES(:,6)./STATES(:,7));
ALGEBRAIC(:,21) = CONSTANTS(:,18).*(STATES(:,1) - ALGEBRAIC(:,20));
ALGEBRAIC(:,22) = ( CONSTANTS(:,19).*( exp(( CONSTANTS(:,22).*(CONSTANTS(:,20) - 2.00000).*STATES(:,1))./CONSTANTS(:,50)).*power(STATES(:,2), CONSTANTS(:,20)).*STATES(:,6) - exp(( (CONSTANTS(:,22) - 1.00000).*(CONSTANTS(:,20) - 2.00000).*STATES(:,1))./CONSTANTS(:,50)).*power(CONSTANTS(:,11), CONSTANTS(:,20)).*STATES(:,7)))./( (1.00000+ CONSTANTS(:,21).*( STATES(:,7).*power(CONSTANTS(:,11), CONSTANTS(:,20))+ STATES(:,6).*power(STATES(:,2), CONSTANTS(:,20)))).*(1.00000+STATES(:,7)./0.00690000));
ALGEBRAIC(:,30) = (1.00000 - STATES(:,9)).*(1.00000 - ALGEBRAIC(:,29));
ALGEBRAIC(:,31) = ((( 4.00000.*CONSTANTS(:,26).*STATES(:,8).*ALGEBRAIC(:,30).*(STATES(:,1) - 50.0000))./CONSTANTS(:,50))./(1.00000 - exp(( - 1.00000.*(STATES(:,1) - 50.0000).*2.00000)./CONSTANTS(:,50)))).*( STATES(:,7).*exp(100.000./CONSTANTS(:,50)) - STATES(:,6).*exp(( - 2.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,50)));
RATES(:,6) = (CONSTANTS(:,37) - STATES(:,6)).*CONSTANTS(:,38) - ( 1.00000.*(ALGEBRAIC(:,31)+ALGEBRAIC(:,22)+ALGEBRAIC(:,21)))./( 2.00000.*1.00000.*CONSTANTS(:,54).*CONSTANTS(:,3));
ALGEBRAIC(:,23) = CONSTANTS(:,50).*log(CONSTANTS(:,12)./STATES(:,3));
ALGEBRAIC(:,25) = ( (( CONSTANTS(:,24).*CONSTANTS(:,12))./(CONSTANTS(:,12)+CONSTANTS(:,25))).*(STATES(:,1) - ALGEBRAIC(:,23)))./(1.00000+exp(( ((STATES(:,1) - ALGEBRAIC(:,23)) - 10.0000).*2.00000)./CONSTANTS(:,50)));
ALGEBRAIC(:,24) = CONSTANTS(:,23).*(STATES(:,1) - ALGEBRAIC(:,23));
ALGEBRAIC(:,15) = ( (( CONSTANTS(:,14).*CONSTANTS(:,12))./(CONSTANTS(:,15)+CONSTANTS(:,12))).*STATES(:,2))./(CONSTANTS(:,16)+STATES(:,2));
ALGEBRAIC(:,32) = ((( 0.00200000.*CONSTANTS(:,26).*STATES(:,8).*ALGEBRAIC(:,30).*(STATES(:,1) - 50.0000))./CONSTANTS(:,50))./(1.00000 - exp(( - 1.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,50)))).*( STATES(:,3).*exp(50.0000./CONSTANTS(:,50)) - CONSTANTS(:,12).*exp(( - 1.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,50)));
RATES(:,3) = ( - 1.00000./( 1.00000.*CONSTANTS(:,55).*CONSTANTS(:,3))).*((ALGEBRAIC(:,25)+ALGEBRAIC(:,32)+ALGEBRAIC(:,24)) - 2.00000.*ALGEBRAIC(:,15));
ALGEBRAIC(:,17) = CONSTANTS(:,50).*log(CONSTANTS(:,11)./STATES(:,2));
ALGEBRAIC(:,19) = CONSTANTS(:,17).*(STATES(:,1) - ALGEBRAIC(:,17));
ALGEBRAIC(:,9) = CONSTANTS(:,50).*log((CONSTANTS(:,11)+ 0.120000.*CONSTANTS(:,12))./(STATES(:,2)+ 0.120000.*STATES(:,3)));
ALGEBRAIC(:,13) = CONSTANTS(:,10).*power(STATES(:,4), 3.00000).*STATES(:,5).*(STATES(:,1) - ALGEBRAIC(:,9));
ALGEBRAIC(:,34) = ((( 0.0100000.*CONSTANTS(:,26).*STATES(:,8).*ALGEBRAIC(:,30).*(STATES(:,1) - 50.0000))./CONSTANTS(:,50))./(1.00000 - exp(( - 1.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,50)))).*( STATES(:,2).*exp(50.0000./CONSTANTS(:,50)) - CONSTANTS(:,11).*exp(( - 1.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,50)));
RATES(:,2) = ( - 1.00000./( 1.00000.*CONSTANTS(:,55).*CONSTANTS(:,3))).*(ALGEBRAIC(:,13)+ALGEBRAIC(:,19)+ ALGEBRAIC(:,15).*3.00000+ ALGEBRAIC(:,22).*3.00000+ALGEBRAIC(:,34));
ALGEBRAIC(:,36) = ALGEBRAIC(:,31)+ALGEBRAIC(:,32)+ALGEBRAIC(:,34);
ALGEBRAIC(:,4) = 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(:,4)+ALGEBRAIC(:,25)+ALGEBRAIC(:,19)+ALGEBRAIC(:,21)+ALGEBRAIC(:,24)+ALGEBRAIC(:,15)+ALGEBRAIC(:,22)+ALGEBRAIC(:,13)+ALGEBRAIC(:,36))./CONSTANTS(:,4);
ALGEBRAIC(:,33) = STATES(:,7)+ STATES(:,10).*CONSTANTS(:,52)+ CONSTANTS(:,29).*CONSTANTS(:,30)+CONSTANTS(:,29);
ALGEBRAIC(:,35) = (STATES(:,7)./ALGEBRAIC(:,33)).*CONSTANTS(:,32) - (( STATES(:,10).*CONSTANTS(:,52))./ALGEBRAIC(:,33)).*CONSTANTS(:,33);
ALGEBRAIC(:,38) = (STATES(:,10) - STATES(:,13)).*CONSTANTS(:,36);
RATES(:,10) = (CONSTANTS(:,53)./CONSTANTS(:,49)).*ALGEBRAIC(:,35) - ALGEBRAIC(:,38);
ALGEBRAIC(:,37) = ( power(STATES(:,11)./(STATES(:,11)+0.250000), 2.00000).*CONSTANTS(:,35)+CONSTANTS(:,34)).*STATES(:,13);
RATES(:,13) = (CONSTANTS(:,49)./CONSTANTS(:,47)).*ALGEBRAIC(:,38) - ALGEBRAIC(:,37);
ALGEBRAIC(:,39) = CONSTANTS(:,41).*STATES(:,7).*(CONSTANTS(:,39) - STATES(:,14)) - CONSTANTS(:,42).*STATES(:,14);
ALGEBRAIC(:,40) = CONSTANTS(:,43).*STATES(:,7).*(CONSTANTS(:,40) - STATES(:,15)) - CONSTANTS(:,44).*STATES(:,15);
RATES(:,7) = ((( ( - 1.00000./( 2.00000.*1.00000.*CONSTANTS(:,55).*CONSTANTS(:,3))).*((ALGEBRAIC(:,31)+ALGEBRAIC(:,21)) - 2.00000.*ALGEBRAIC(:,22))+( ALGEBRAIC(:,37).*CONSTANTS(:,47))./CONSTANTS(:,53)) - ALGEBRAIC(:,39)) - ALGEBRAIC(:,40)) - ALGEBRAIC(:,35);
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) = 20.0000.*exp( - 0.125000.*(STATES(:,1)+75.0000));
ALGEBRAIC(:,7) = 2000.00./(1.00000+ 320.000.*exp( - 0.100000.*(STATES(:,1)+75.0000)));
ALGEBRAIC(:,1) = STATES(:,1)+41.0000;
ALGEBRAIC(:,6) = piecewise({abs(ALGEBRAIC(:,1))<CONSTANTS(:,13), 2000.00 }, ( 200.000.*ALGEBRAIC(:,1))./(1.00000 - exp( - 0.100000.*ALGEBRAIC(:,1))));
ALGEBRAIC(:,11) = 8000.00.*exp( - 0.0560000.*(STATES(:,1)+66.0000));
ALGEBRAIC(:,3) = (STATES(:,1)+24.0000) - 5.00000;
ALGEBRAIC(:,8) = piecewise({abs(ALGEBRAIC(:,3))<CONSTANTS(:,27), 120.000 }, ( 30.0000.*ALGEBRAIC(:,3))./(1.00000 - exp(( - 1.00000.*ALGEBRAIC(:,3))./4.00000)));
ALGEBRAIC(:,12) = piecewise({abs(ALGEBRAIC(:,3))<CONSTANTS(:,27), 120.000 }, ( 12.0000.*ALGEBRAIC(:,3))./(exp(ALGEBRAIC(:,3)./10.0000) - 1.00000));
ALGEBRAIC(:,10) = exp( 0.0800000.*(STATES(:,1) - 40.0000));
ALGEBRAIC(:,14) = power(STATES(:,7)./(STATES(:,7)+0.000500000), 2.00000);
ALGEBRAIC(:,16) = 600.000.*ALGEBRAIC(:,10)+ 500.000.*ALGEBRAIC(:,14);
ALGEBRAIC(:,18) = 60.0000+ 500.000.*ALGEBRAIC(:,14);
ALGEBRAIC(:,5) = (1.00000 - STATES(:,11)) - STATES(:,12);
ALGEBRAIC(:,26) = STATES(:,1)+34.0000;
ALGEBRAIC(:,27) = piecewise({abs(ALGEBRAIC(:,26))<CONSTANTS(:,28), 25.0000 }, ( 6.25000.*ALGEBRAIC(:,26))./(exp(ALGEBRAIC(:,26)./4.00000) - 1.00000));
ALGEBRAIC(:,28) = 12.0000./(1.00000+exp( - ALGEBRAIC(:,26)./4.00000));
ALGEBRAIC(:,29) = STATES(:,7)./(0.00100000+STATES(:,7));
ALGEBRAIC(:,20) = 0.500000.*CONSTANTS(:,50).*log(STATES(:,6)./STATES(:,7));
ALGEBRAIC(:,21) = CONSTANTS(:,18).*(STATES(:,1) - ALGEBRAIC(:,20));
ALGEBRAIC(:,22) = ( CONSTANTS(:,19).*( exp(( CONSTANTS(:,22).*(CONSTANTS(:,20) - 2.00000).*STATES(:,1))./CONSTANTS(:,50)).*power(STATES(:,2), CONSTANTS(:,20)).*STATES(:,6) - exp(( (CONSTANTS(:,22) - 1.00000).*(CONSTANTS(:,20) - 2.00000).*STATES(:,1))./CONSTANTS(:,50)).*power(CONSTANTS(:,11), CONSTANTS(:,20)).*STATES(:,7)))./( (1.00000+ CONSTANTS(:,21).*( STATES(:,7).*power(CONSTANTS(:,11), CONSTANTS(:,20))+ STATES(:,6).*power(STATES(:,2), CONSTANTS(:,20)))).*(1.00000+STATES(:,7)./0.00690000));
ALGEBRAIC(:,30) = (1.00000 - STATES(:,9)).*(1.00000 - ALGEBRAIC(:,29));
ALGEBRAIC(:,31) = ((( 4.00000.*CONSTANTS(:,26).*STATES(:,8).*ALGEBRAIC(:,30).*(STATES(:,1) - 50.0000))./CONSTANTS(:,50))./(1.00000 - exp(( - 1.00000.*(STATES(:,1) - 50.0000).*2.00000)./CONSTANTS(:,50)))).*( STATES(:,7).*exp(100.000./CONSTANTS(:,50)) - STATES(:,6).*exp(( - 2.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,50)));
ALGEBRAIC(:,23) = CONSTANTS(:,50).*log(CONSTANTS(:,12)./STATES(:,3));
ALGEBRAIC(:,25) = ( (( CONSTANTS(:,24).*CONSTANTS(:,12))./(CONSTANTS(:,12)+CONSTANTS(:,25))).*(STATES(:,1) - ALGEBRAIC(:,23)))./(1.00000+exp(( ((STATES(:,1) - ALGEBRAIC(:,23)) - 10.0000).*2.00000)./CONSTANTS(:,50)));
ALGEBRAIC(:,24) = CONSTANTS(:,23).*(STATES(:,1) - ALGEBRAIC(:,23));
ALGEBRAIC(:,15) = ( (( CONSTANTS(:,14).*CONSTANTS(:,12))./(CONSTANTS(:,15)+CONSTANTS(:,12))).*STATES(:,2))./(CONSTANTS(:,16)+STATES(:,2));
ALGEBRAIC(:,32) = ((( 0.00200000.*CONSTANTS(:,26).*STATES(:,8).*ALGEBRAIC(:,30).*(STATES(:,1) - 50.0000))./CONSTANTS(:,50))./(1.00000 - exp(( - 1.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,50)))).*( STATES(:,3).*exp(50.0000./CONSTANTS(:,50)) - CONSTANTS(:,12).*exp(( - 1.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,50)));
ALGEBRAIC(:,17) = CONSTANTS(:,50).*log(CONSTANTS(:,11)./STATES(:,2));
ALGEBRAIC(:,19) = CONSTANTS(:,17).*(STATES(:,1) - ALGEBRAIC(:,17));
ALGEBRAIC(:,9) = CONSTANTS(:,50).*log((CONSTANTS(:,11)+ 0.120000.*CONSTANTS(:,12))./(STATES(:,2)+ 0.120000.*STATES(:,3)));
ALGEBRAIC(:,13) = CONSTANTS(:,10).*power(STATES(:,4), 3.00000).*STATES(:,5).*(STATES(:,1) - ALGEBRAIC(:,9));
ALGEBRAIC(:,34) = ((( 0.0100000.*CONSTANTS(:,26).*STATES(:,8).*ALGEBRAIC(:,30).*(STATES(:,1) - 50.0000))./CONSTANTS(:,50))./(1.00000 - exp(( - 1.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,50)))).*( STATES(:,2).*exp(50.0000./CONSTANTS(:,50)) - CONSTANTS(:,11).*exp(( - 1.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,50)));
ALGEBRAIC(:,36) = ALGEBRAIC(:,31)+ALGEBRAIC(:,32)+ALGEBRAIC(:,34);
ALGEBRAIC(:,4) = 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(:,33) = STATES(:,7)+ STATES(:,10).*CONSTANTS(:,52)+ CONSTANTS(:,29).*CONSTANTS(:,30)+CONSTANTS(:,29);
ALGEBRAIC(:,35) = (STATES(:,7)./ALGEBRAIC(:,33)).*CONSTANTS(:,32) - (( STATES(:,10).*CONSTANTS(:,52))./ALGEBRAIC(:,33)).*CONSTANTS(:,33);
ALGEBRAIC(:,38) = (STATES(:,10) - STATES(:,13)).*CONSTANTS(:,36);
ALGEBRAIC(:,37) = ( power(STATES(:,11)./(STATES(:,11)+0.250000), 2.00000).*CONSTANTS(:,35)+CONSTANTS(:,34)).*STATES(:,13);
ALGEBRAIC(:,39) = CONSTANTS(:,41).*STATES(:,7).*(CONSTANTS(:,39) - STATES(:,14)) - CONSTANTS(:,42).*STATES(:,14);
ALGEBRAIC(:,40) = CONSTANTS(:,43).*STATES(:,7).*(CONSTANTS(:,40) - STATES(:,15)) - CONSTANTS(:,44).*STATES(:,15);
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