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 =42;
end
% There are a total of 14 entries in each of the rate and state variable arrays.
% There are a total of 44 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(:,4) = strpad('C in component membrane (microF)');
LEGEND_CONSTANTS(:,40) = strpad('RTONF in component membrane (millivolt)');
LEGEND_ALGEBRAIC(:,24) = strpad('i_f in component hyperpolarising_activated_current (nanoA)');
LEGEND_ALGEBRAIC(:,26) = strpad('i_K in component time_dependent_potassium_current (nanoA)');
LEGEND_ALGEBRAIC(:,27) = strpad('i_K1 in component time_independent_potassium_current (nanoA)');
LEGEND_ALGEBRAIC(:,28) = strpad('i_Na_b in component sodium_background_current (nanoA)');
LEGEND_ALGEBRAIC(:,30) = strpad('i_Ca_b in component calcium_background_current (nanoA)');
LEGEND_ALGEBRAIC(:,31) = strpad('i_p in component sodium_potassium_pump (nanoA)');
LEGEND_ALGEBRAIC(:,32) = strpad('i_NaCa in component Na_Ca_exchanger (nanoA)');
LEGEND_ALGEBRAIC(:,34) = strpad('i_Na in component fast_sodium_current (nanoA)');
LEGEND_ALGEBRAIC(:,41) = strpad('i_si in component second_inward_current (nanoA)');
LEGEND_ALGEBRAIC(:,21) = strpad('i_fNa in component hyperpolarising_activated_current (nanoA)');
LEGEND_ALGEBRAIC(:,1) = strpad('E_Na in component hyperpolarising_activated_current (millivolt)');
LEGEND_ALGEBRAIC(:,10) = strpad('E_K in component hyperpolarising_activated_current (millivolt)');
LEGEND_ALGEBRAIC(:,23) = strpad('i_fK in component hyperpolarising_activated_current (nanoA)');
LEGEND_CONSTANTS(:,5) = strpad('g_f_Na in component hyperpolarising_activated_current (microS)');
LEGEND_CONSTANTS(:,6) = strpad('g_f_K in component hyperpolarising_activated_current (microS)');
LEGEND_CONSTANTS(:,7) = strpad('Km_f in component hyperpolarising_activated_current (millimolar)');
LEGEND_CONSTANTS(:,8) = strpad('Kc in component extracellular_potassium_concentration (millimolar)');
LEGEND_STATES(:,2) = strpad('Ki in component intracellular_potassium_concentration (millimolar)');
LEGEND_STATES(:,3) = strpad('Nai in component intracellular_sodium_concentration (millimolar)');
LEGEND_CONSTANTS(:,9) = strpad('Nao in component extracellular_sodium_concentration (millimolar)');
LEGEND_STATES(:,4) = strpad('y in component hyperpolarising_activated_current_y_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,2) = strpad('alpha_y in component hyperpolarising_activated_current_y_gate (per_second)');
LEGEND_ALGEBRAIC(:,11) = strpad('beta_y in component hyperpolarising_activated_current_y_gate (per_second)');
LEGEND_CONSTANTS(:,10) = strpad('speed_y in component hyperpolarising_activated_current_y_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,25) = strpad('I_K in component time_dependent_potassium_current (nanoA)');
LEGEND_CONSTANTS(:,11) = strpad('i_K_max in component time_dependent_potassium_current (nanoA)');
LEGEND_STATES(:,5) = strpad('x in component time_dependent_potassium_current_x_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,3) = strpad('alpha_x in component time_dependent_potassium_current_x_gate (per_second)');
LEGEND_ALGEBRAIC(:,12) = strpad('beta_x in component time_dependent_potassium_current_x_gate (per_second)');
LEGEND_CONSTANTS(:,12) = strpad('g_K1 in component time_independent_potassium_current (microS)');
LEGEND_CONSTANTS(:,13) = strpad('Km_K1 in component time_independent_potassium_current (millimolar)');
LEGEND_CONSTANTS(:,14) = strpad('g_Nab in component sodium_background_current (microS)');
LEGEND_ALGEBRAIC(:,29) = strpad('E_Ca in component calcium_background_current (millivolt)');
LEGEND_CONSTANTS(:,15) = strpad('g_Cab in component calcium_background_current (microS)');
LEGEND_STATES(:,6) = strpad('Cai in component intracellular_calcium_concentration (millimolar)');
LEGEND_CONSTANTS(:,16) = strpad('Cao in component extracellular_calcium_concentration (millimolar)');
LEGEND_CONSTANTS(:,17) = strpad('I_p in component sodium_potassium_pump (nanoA)');
LEGEND_CONSTANTS(:,18) = strpad('K_mK in component sodium_potassium_pump (millimolar)');
LEGEND_CONSTANTS(:,19) = strpad('K_mNa in component sodium_potassium_pump (millimolar)');
LEGEND_CONSTANTS(:,20) = strpad('n_NaCa in component Na_Ca_exchanger (dimensionless)');
LEGEND_CONSTANTS(:,21) = strpad('K_NaCa in component Na_Ca_exchanger (nanoA)');
LEGEND_CONSTANTS(:,22) = strpad('d_NaCa in component Na_Ca_exchanger (dimensionless)');
LEGEND_CONSTANTS(:,23) = strpad('gamma in component Na_Ca_exchanger (dimensionless)');
LEGEND_CONSTANTS(:,24) = strpad('g_Na in component fast_sodium_current (microS)');
LEGEND_ALGEBRAIC(:,33) = strpad('E_mh in component fast_sodium_current (millivolt)');
LEGEND_STATES(:,7) = strpad('m in component fast_sodium_current_m_gate (dimensionless)');
LEGEND_STATES(:,8) = strpad('h in component fast_sodium_current_h_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,13) = strpad('alpha_m in component fast_sodium_current_m_gate (per_second)');
LEGEND_ALGEBRAIC(:,18) = strpad('beta_m in component fast_sodium_current_m_gate (per_second)');
LEGEND_CONSTANTS(:,25) = strpad('delta_m in component fast_sodium_current_m_gate (millivolt)');
LEGEND_ALGEBRAIC(:,4) = strpad('E0_m in component fast_sodium_current_m_gate (millivolt)');
LEGEND_ALGEBRAIC(:,5) = strpad('alpha_h in component fast_sodium_current_h_gate (per_second)');
LEGEND_ALGEBRAIC(:,14) = strpad('beta_h in component fast_sodium_current_h_gate (per_second)');
LEGEND_ALGEBRAIC(:,35) = strpad('i_siCa in component second_inward_current (nanoA)');
LEGEND_ALGEBRAIC(:,36) = strpad('i_siK in component second_inward_current (nanoA)');
LEGEND_ALGEBRAIC(:,38) = strpad('i_siNa in component second_inward_current (nanoA)');
LEGEND_CONSTANTS(:,26) = strpad('P_si in component second_inward_current (nanoA_per_millimolar)');
LEGEND_STATES(:,9) = strpad('d in component second_inward_current_d_gate (dimensionless)');
LEGEND_STATES(:,10) = strpad('f in component second_inward_current_f_gate (dimensionless)');
LEGEND_STATES(:,11) = strpad('f2 in component second_inward_current_f2_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,15) = strpad('alpha_d in component second_inward_current_d_gate (per_second)');
LEGEND_ALGEBRAIC(:,19) = strpad('beta_d in component second_inward_current_d_gate (per_second)');
LEGEND_CONSTANTS(:,27) = strpad('delta_d in component second_inward_current_d_gate (millivolt)');
LEGEND_ALGEBRAIC(:,6) = strpad('E0_d in component second_inward_current_d_gate (millivolt)');
LEGEND_ALGEBRAIC(:,16) = strpad('alpha_f in component second_inward_current_f_gate (per_second)');
LEGEND_ALGEBRAIC(:,20) = strpad('beta_f in component second_inward_current_f_gate (per_second)');
LEGEND_CONSTANTS(:,28) = strpad('delta_f in component second_inward_current_f_gate (millivolt)');
LEGEND_ALGEBRAIC(:,7) = strpad('E0_f in component second_inward_current_f_gate (millivolt)');
LEGEND_CONSTANTS(:,29) = strpad('alpha_f2 in component second_inward_current_f2_gate (per_second)');
LEGEND_ALGEBRAIC(:,8) = strpad('beta_f2 in component second_inward_current_f2_gate (per_second)');
LEGEND_CONSTANTS(:,30) = strpad('K_mf2 in component second_inward_current_f2_gate (millimolar)');
LEGEND_CONSTANTS(:,31) = strpad('radius in component intracellular_sodium_concentration (millimetre)');
LEGEND_CONSTANTS(:,32) = strpad('length in component intracellular_sodium_concentration (millimetre)');
LEGEND_CONSTANTS(:,33) = strpad('V_e_ratio in component intracellular_sodium_concentration (dimensionless)');
LEGEND_CONSTANTS(:,41) = strpad('V_Cell in component intracellular_sodium_concentration (millimetre3)');
LEGEND_CONSTANTS(:,42) = strpad('Vi in component intracellular_sodium_concentration (millimetre3)');
LEGEND_CONSTANTS(:,43) = strpad('V_up in component intracellular_calcium_concentration (millimetre3)');
LEGEND_CONSTANTS(:,44) = strpad('V_rel in component intracellular_calcium_concentration (millimetre3)');
LEGEND_ALGEBRAIC(:,37) = strpad('i_up in component intracellular_calcium_concentration (nanoA)');
LEGEND_ALGEBRAIC(:,39) = strpad('i_tr in component intracellular_calcium_concentration (nanoA)');
LEGEND_ALGEBRAIC(:,42) = strpad('i_rel in component intracellular_calcium_concentration (nanoA)');
LEGEND_STATES(:,12) = strpad('Ca_up in component intracellular_calcium_concentration (millimolar)');
LEGEND_STATES(:,13) = strpad('Ca_rel in component intracellular_calcium_concentration (millimolar)');
LEGEND_CONSTANTS(:,34) = strpad('Ca_up_max in component intracellular_calcium_concentration (millimolar)');
LEGEND_CONSTANTS(:,35) = strpad('K_mCa in component intracellular_calcium_concentration (millimolar)');
LEGEND_STATES(:,14) = strpad('p in component intracellular_calcium_concentration (dimensionless)');
LEGEND_ALGEBRAIC(:,17) = strpad('alpha_p in component intracellular_calcium_concentration (per_second)');
LEGEND_ALGEBRAIC(:,22) = strpad('beta_p in component intracellular_calcium_concentration (per_second)');
LEGEND_ALGEBRAIC(:,9) = strpad('E0_p in component intracellular_calcium_concentration (millivolt)');
LEGEND_CONSTANTS(:,36) = strpad('tau_up in component intracellular_calcium_concentration (second)');
LEGEND_CONSTANTS(:,37) = strpad('tau_rep in component intracellular_calcium_concentration (second)');
LEGEND_CONSTANTS(:,38) = strpad('tau_rel in component intracellular_calcium_concentration (second)');
LEGEND_CONSTANTS(:,39) = strpad('rCa in component intracellular_calcium_concentration (dimensionless)');
LEGEND_ALGEBRAIC(:,40) = strpad('i_mK in component intracellular_potassium_concentration (nanoA)');
LEGEND_RATES(:,1) = strpad('d/dt V in component membrane (millivolt)');
LEGEND_RATES(:,4) = strpad('d/dt y in component hyperpolarising_activated_current_y_gate (dimensionless)');
LEGEND_RATES(:,5) = strpad('d/dt x in component time_dependent_potassium_current_x_gate (dimensionless)');
LEGEND_RATES(:,7) = strpad('d/dt m in component fast_sodium_current_m_gate (dimensionless)');
LEGEND_RATES(:,8) = strpad('d/dt h in component fast_sodium_current_h_gate (dimensionless)');
LEGEND_RATES(:,9) = strpad('d/dt d in component second_inward_current_d_gate (dimensionless)');
LEGEND_RATES(:,10) = strpad('d/dt f in component second_inward_current_f_gate (dimensionless)');
LEGEND_RATES(:,11) = strpad('d/dt f2 in component second_inward_current_f2_gate (dimensionless)');
LEGEND_RATES(:,3) = strpad('d/dt Nai in component intracellular_sodium_concentration (millimolar)');
LEGEND_RATES(:,14) = strpad('d/dt p in component intracellular_calcium_concentration (dimensionless)');
LEGEND_RATES(:,12) = 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(:,6) = strpad('d/dt Cai in component intracellular_calcium_concentration (millimolar)');
LEGEND_RATES(:,2) = strpad('d/dt Ki in component intracellular_potassium_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) = -67.797059970601;
CONSTANTS(:,1) = 8314.472;
CONSTANTS(:,2) = 310;
CONSTANTS(:,3) = 96485.3415;
CONSTANTS(:,4) = 6e-5;
CONSTANTS(:,5) = 0.06;
CONSTANTS(:,6) = 0.06;
CONSTANTS(:,7) = 45;
CONSTANTS(:,8) = 3;
STATES(:,2) = 139.859968229045;
STATES(:,3) = 7.51007221193712;
CONSTANTS(:,9) = 140;
STATES(:,4) = 0.0743464067197738;
CONSTANTS(:,10) = 2;
CONSTANTS(:,11) = 0.8;
STATES(:,5) = 0.129303443591363;
CONSTANTS(:,12) = 0.0075;
CONSTANTS(:,13) = 10;
CONSTANTS(:,14) = 0.0007;
CONSTANTS(:,15) = 0.0001;
STATES(:,6) = 5.84191784887783e-5;
CONSTANTS(:,16) = 2;
CONSTANTS(:,17) = 0.45;
CONSTANTS(:,18) = 1;
CONSTANTS(:,19) = 40;
CONSTANTS(:,20) = 3;
CONSTANTS(:,21) = 2e-5;
CONSTANTS(:,22) = 0.0001;
CONSTANTS(:,23) = 0.5;
CONSTANTS(:,24) = 0.0125;
STATES(:,7) = 0.042697621819783;
STATES(:,8) = 0.138105285882671;
CONSTANTS(:,25) = 1e-5;
CONSTANTS(:,26) = 0.12;
STATES(:,9) = 1.26333192869164e-5;
STATES(:,10) = 0.999507224159629;
STATES(:,11) = 0.485471180273736;
CONSTANTS(:,27) = 0.0001;
CONSTANTS(:,28) = 0.0001;
CONSTANTS(:,29) = 10;
CONSTANTS(:,30) = 0.0005;
CONSTANTS(:,31) = 0.008;
CONSTANTS(:,32) = 0.11;
CONSTANTS(:,33) = 0.1;
STATES(:,12) = 3.70806465918854;
STATES(:,13) = 0.177741556496929;
CONSTANTS(:,34) = 5;
CONSTANTS(:,35) = 0.002;
STATES(:,14) = 0.176207580044253;
CONSTANTS(:,36) = 0.005;
CONSTANTS(:,37) = 0.2;
CONSTANTS(:,38) = 0.01;
CONSTANTS(:,39) = 2;
CONSTANTS(:,40) = ( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3);
CONSTANTS(:,41) = 3.14159.*power(CONSTANTS(:,31), 2.00000).*CONSTANTS(:,32);
CONSTANTS(:,42) = CONSTANTS(:,41).*(1.00000 - CONSTANTS(:,33));
CONSTANTS(:,43) = CONSTANTS(:,42).*0.0500000;
CONSTANTS(:,44) = CONSTANTS(:,42).*0.0200000;
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
ALGEBRAIC(:,8) = ( STATES(:,6).*CONSTANTS(:,29))./CONSTANTS(:,30);
RATES(:,11) = CONSTANTS(:,29) - STATES(:,11).*(CONSTANTS(:,29)+ALGEBRAIC(:,8));
ALGEBRAIC(:,2) = 0.0140000.*exp( - STATES(:,1)./16.0000);
ALGEBRAIC(:,11) = 9.75000.*exp(STATES(:,1)./19.0000);
RATES(:,4) = CONSTANTS(:,10).*( ALGEBRAIC(:,2).*(1.00000 - STATES(:,4)) - ALGEBRAIC(:,11).*STATES(:,4));
ALGEBRAIC(:,3) = 2.10000.*exp(STATES(:,1)./28.0000);
ALGEBRAIC(:,12) = 0.960000.*exp( - STATES(:,1)./24.0000);
RATES(:,5) = ALGEBRAIC(:,3).*(1.00000 - STATES(:,5)) - ALGEBRAIC(:,12).*STATES(:,5);
ALGEBRAIC(:,5) = 20.0000.*exp( - 0.125000.*(STATES(:,1)+75.0000));
ALGEBRAIC(:,14) = 2000.00./( 320.000.*exp( - 0.100000.*(STATES(:,1)+75.0000))+1.00000);
RATES(:,8) = ALGEBRAIC(:,5).*(1.00000 - STATES(:,8)) - ALGEBRAIC(:,14).*STATES(:,8);
ALGEBRAIC(:,4) = STATES(:,1)+41.0000;
ALGEBRAIC(:,13) = piecewise({abs(ALGEBRAIC(:,4))<CONSTANTS(:,25), 2000.00 }, ( 200.000.*ALGEBRAIC(:,4))./(1.00000 - exp( - 0.100000.*ALGEBRAIC(:,4))));
ALGEBRAIC(:,18) = 8000.00.*exp( - 0.0560000.*(STATES(:,1)+66.0000));
RATES(:,7) = ALGEBRAIC(:,13).*(1.00000 - STATES(:,7)) - ALGEBRAIC(:,18).*STATES(:,7);
ALGEBRAIC(:,6) = (STATES(:,1)+24.0000) - 5.00000;
ALGEBRAIC(:,15) = piecewise({abs(ALGEBRAIC(:,6))<CONSTANTS(:,27), 120.000 }, ( 30.0000.*ALGEBRAIC(:,6))./(1.00000 - exp(( - 1.00000.*ALGEBRAIC(:,6))./4.00000)));
ALGEBRAIC(:,19) = piecewise({abs(ALGEBRAIC(:,6))<CONSTANTS(:,27), 120.000 }, ( 12.0000.*ALGEBRAIC(:,6))./(exp(ALGEBRAIC(:,6)./10.0000) - 1.00000));
RATES(:,9) = ALGEBRAIC(:,15).*(1.00000 - STATES(:,9)) - ALGEBRAIC(:,19).*STATES(:,9);
ALGEBRAIC(:,7) = STATES(:,1)+34.0000;
ALGEBRAIC(:,16) = piecewise({abs(ALGEBRAIC(:,7))<CONSTANTS(:,28), 25.0000 }, ( 6.25000.*ALGEBRAIC(:,7))./(exp(ALGEBRAIC(:,7)./4.00000) - 1.00000));
ALGEBRAIC(:,20) = 50.0000./(1.00000+exp(( - 1.00000.*(STATES(:,1)+34.0000))./4.00000));
RATES(:,10) = ALGEBRAIC(:,16).*(1.00000 - STATES(:,10)) - ALGEBRAIC(:,20).*STATES(:,10);
ALGEBRAIC(:,9) = (STATES(:,1)+34.0000) - - 30.0000;
ALGEBRAIC(:,17) = ( 0.625000.*ALGEBRAIC(:,9))./(exp(ALGEBRAIC(:,9)./4.00000) - 1.00000);
ALGEBRAIC(:,22) = 5.00000./(1.00000+exp(( - 1.00000.*ALGEBRAIC(:,9))./4.00000));
RATES(:,14) = ALGEBRAIC(:,17).*(1.00000 - STATES(:,14)) - ALGEBRAIC(:,22).*STATES(:,14);
ALGEBRAIC(:,1) = CONSTANTS(:,40).*log(CONSTANTS(:,9)./STATES(:,3));
ALGEBRAIC(:,28) = CONSTANTS(:,14).*(STATES(:,1) - ALGEBRAIC(:,1));
ALGEBRAIC(:,31) = ( (( CONSTANTS(:,17).*CONSTANTS(:,8))./(CONSTANTS(:,18)+CONSTANTS(:,8))).*STATES(:,3))./(CONSTANTS(:,19)+STATES(:,3));
ALGEBRAIC(:,32) = ( CONSTANTS(:,21).*( exp(( CONSTANTS(:,23).*(CONSTANTS(:,20) - 2.00000).*STATES(:,1))./CONSTANTS(:,40)).*power(STATES(:,3), CONSTANTS(:,20)).*CONSTANTS(:,16) - exp(( (CONSTANTS(:,23) - 1.00000).*(CONSTANTS(:,20) - 2.00000).*STATES(:,1))./CONSTANTS(:,40)).*power(CONSTANTS(:,9), CONSTANTS(:,20)).*STATES(:,6)))./( (1.00000+ CONSTANTS(:,22).*( STATES(:,6).*power(CONSTANTS(:,9), CONSTANTS(:,20))+ CONSTANTS(:,16).*power(STATES(:,3), CONSTANTS(:,20)))).*(1.00000+STATES(:,6)./0.00690000));
ALGEBRAIC(:,33) = CONSTANTS(:,40).*log((CONSTANTS(:,9)+ 0.120000.*CONSTANTS(:,8))./(STATES(:,3)+ 0.120000.*STATES(:,2)));
ALGEBRAIC(:,34) = CONSTANTS(:,24).*power(STATES(:,7), 3.00000).*STATES(:,8).*(STATES(:,1) - ALGEBRAIC(:,33));
ALGEBRAIC(:,21) = (( power(STATES(:,4), 2.00000).*CONSTANTS(:,8))./(CONSTANTS(:,8)+CONSTANTS(:,7))).*CONSTANTS(:,5).*(STATES(:,1) - ALGEBRAIC(:,1));
ALGEBRAIC(:,38) = (( 0.0100000.*CONSTANTS(:,26).*(STATES(:,1) - 50.0000))./( CONSTANTS(:,40).*(1.00000 - exp(( - 1.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,40))))).*( STATES(:,3).*exp(50.0000./CONSTANTS(:,40)) - CONSTANTS(:,9).*exp(( - 1.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,40))).*STATES(:,9).*STATES(:,10).*STATES(:,11);
RATES(:,3) = ( - 1.00000.*(ALGEBRAIC(:,34)+ALGEBRAIC(:,28)+ALGEBRAIC(:,21)+ALGEBRAIC(:,38)+ ALGEBRAIC(:,31).*3.00000+( ALGEBRAIC(:,32).*CONSTANTS(:,20))./(CONSTANTS(:,20) - 2.00000)))./( 1.00000.*CONSTANTS(:,42).*CONSTANTS(:,3));
ALGEBRAIC(:,37) = (( 2.00000.*1.00000.*CONSTANTS(:,42).*CONSTANTS(:,3))./( 1.00000.*CONSTANTS(:,36).*CONSTANTS(:,34))).*STATES(:,6).*(CONSTANTS(:,34) - STATES(:,12));
ALGEBRAIC(:,39) = (( 2.00000.*1.00000.*CONSTANTS(:,44).*CONSTANTS(:,3))./( 1.00000.*CONSTANTS(:,37))).*STATES(:,14).*(STATES(:,12) - STATES(:,13));
RATES(:,12) = ( 1.00000.*(ALGEBRAIC(:,37) - ALGEBRAIC(:,39)))./( 2.00000.*1.00000.*CONSTANTS(:,43).*CONSTANTS(:,3));
ALGEBRAIC(:,25) = ( CONSTANTS(:,11).*(STATES(:,2) - CONSTANTS(:,8).*exp( - STATES(:,1)./CONSTANTS(:,40))))./140.000;
ALGEBRAIC(:,26) = STATES(:,5).*ALGEBRAIC(:,25);
ALGEBRAIC(:,10) = CONSTANTS(:,40).*log(CONSTANTS(:,8)./STATES(:,2));
ALGEBRAIC(:,27) = ( (( CONSTANTS(:,12).*CONSTANTS(:,8))./(CONSTANTS(:,8)+CONSTANTS(:,13))).*(STATES(:,1) - ALGEBRAIC(:,10)))./(1.00000+exp(( ((STATES(:,1)+10.0000) - ALGEBRAIC(:,10)).*2.00000)./CONSTANTS(:,40)));
ALGEBRAIC(:,23) = (( power(STATES(:,4), 2.00000).*CONSTANTS(:,8))./(CONSTANTS(:,8)+CONSTANTS(:,7))).*CONSTANTS(:,6).*(STATES(:,1) - ALGEBRAIC(:,10));
ALGEBRAIC(:,36) = (( 0.0100000.*CONSTANTS(:,26).*(STATES(:,1) - 50.0000))./( CONSTANTS(:,40).*(1.00000 - exp(( - 1.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,40))))).*( STATES(:,2).*exp(50.0000./CONSTANTS(:,40)) - CONSTANTS(:,8).*exp(( - 1.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,40))).*STATES(:,9).*STATES(:,10).*STATES(:,11);
ALGEBRAIC(:,40) = (ALGEBRAIC(:,27)+ALGEBRAIC(:,26)+ALGEBRAIC(:,23)+ALGEBRAIC(:,36)) - 2.00000.*ALGEBRAIC(:,31);
RATES(:,2) = ( - 1.00000.*ALGEBRAIC(:,40))./( 1.00000.*CONSTANTS(:,42).*CONSTANTS(:,3));
ALGEBRAIC(:,24) = ALGEBRAIC(:,21)+ALGEBRAIC(:,23);
ALGEBRAIC(:,29) = 0.500000.*CONSTANTS(:,40).*log(CONSTANTS(:,16)./STATES(:,6));
ALGEBRAIC(:,30) = CONSTANTS(:,15).*(STATES(:,1) - ALGEBRAIC(:,29));
ALGEBRAIC(:,35) = (( 4.00000.*CONSTANTS(:,26).*(STATES(:,1) - 50.0000))./( CONSTANTS(:,40).*(1.00000 - exp(( - 1.00000.*(STATES(:,1) - 50.0000).*2.00000)./CONSTANTS(:,40))))).*( STATES(:,6).*exp(100.000./CONSTANTS(:,40)) - CONSTANTS(:,16).*exp(( - 2.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,40))).*STATES(:,9).*STATES(:,10).*STATES(:,11);
ALGEBRAIC(:,41) = ALGEBRAIC(:,35)+ALGEBRAIC(:,36)+ALGEBRAIC(:,38);
RATES(:,1) = - (ALGEBRAIC(:,24)+ALGEBRAIC(:,26)+ALGEBRAIC(:,27)+ALGEBRAIC(:,28)+ALGEBRAIC(:,30)+ALGEBRAIC(:,31)+ALGEBRAIC(:,32)+ALGEBRAIC(:,34)+ALGEBRAIC(:,41))./CONSTANTS(:,4);
ALGEBRAIC(:,42) = ( (( 2.00000.*1.00000.*CONSTANTS(:,44).*CONSTANTS(:,3))./( 1.00000.*CONSTANTS(:,38))).*STATES(:,13).*power(STATES(:,6), CONSTANTS(:,39)))./(power(STATES(:,6), CONSTANTS(:,39))+power(CONSTANTS(:,35), CONSTANTS(:,39)));
RATES(:,13) = ( 1.00000.*(ALGEBRAIC(:,39) - ALGEBRAIC(:,42)))./( 2.00000.*1.00000.*CONSTANTS(:,44).*CONSTANTS(:,3));
RATES(:,6) = ( - 1.00000.*((((ALGEBRAIC(:,35)+ALGEBRAIC(:,30)) - ( 2.00000.*ALGEBRAIC(:,32))./(CONSTANTS(:,20) - 2.00000)) - ALGEBRAIC(:,42))+ALGEBRAIC(:,37)))./( 2.00000.*1.00000.*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(:,8) = ( STATES(:,6).*CONSTANTS(:,29))./CONSTANTS(:,30);
ALGEBRAIC(:,2) = 0.0140000.*exp( - STATES(:,1)./16.0000);
ALGEBRAIC(:,11) = 9.75000.*exp(STATES(:,1)./19.0000);
ALGEBRAIC(:,3) = 2.10000.*exp(STATES(:,1)./28.0000);
ALGEBRAIC(:,12) = 0.960000.*exp( - STATES(:,1)./24.0000);
ALGEBRAIC(:,5) = 20.0000.*exp( - 0.125000.*(STATES(:,1)+75.0000));
ALGEBRAIC(:,14) = 2000.00./( 320.000.*exp( - 0.100000.*(STATES(:,1)+75.0000))+1.00000);
ALGEBRAIC(:,4) = STATES(:,1)+41.0000;
ALGEBRAIC(:,13) = piecewise({abs(ALGEBRAIC(:,4))<CONSTANTS(:,25), 2000.00 }, ( 200.000.*ALGEBRAIC(:,4))./(1.00000 - exp( - 0.100000.*ALGEBRAIC(:,4))));
ALGEBRAIC(:,18) = 8000.00.*exp( - 0.0560000.*(STATES(:,1)+66.0000));
ALGEBRAIC(:,6) = (STATES(:,1)+24.0000) - 5.00000;
ALGEBRAIC(:,15) = piecewise({abs(ALGEBRAIC(:,6))<CONSTANTS(:,27), 120.000 }, ( 30.0000.*ALGEBRAIC(:,6))./(1.00000 - exp(( - 1.00000.*ALGEBRAIC(:,6))./4.00000)));
ALGEBRAIC(:,19) = piecewise({abs(ALGEBRAIC(:,6))<CONSTANTS(:,27), 120.000 }, ( 12.0000.*ALGEBRAIC(:,6))./(exp(ALGEBRAIC(:,6)./10.0000) - 1.00000));
ALGEBRAIC(:,7) = STATES(:,1)+34.0000;
ALGEBRAIC(:,16) = piecewise({abs(ALGEBRAIC(:,7))<CONSTANTS(:,28), 25.0000 }, ( 6.25000.*ALGEBRAIC(:,7))./(exp(ALGEBRAIC(:,7)./4.00000) - 1.00000));
ALGEBRAIC(:,20) = 50.0000./(1.00000+exp(( - 1.00000.*(STATES(:,1)+34.0000))./4.00000));
ALGEBRAIC(:,9) = (STATES(:,1)+34.0000) - - 30.0000;
ALGEBRAIC(:,17) = ( 0.625000.*ALGEBRAIC(:,9))./(exp(ALGEBRAIC(:,9)./4.00000) - 1.00000);
ALGEBRAIC(:,22) = 5.00000./(1.00000+exp(( - 1.00000.*ALGEBRAIC(:,9))./4.00000));
ALGEBRAIC(:,1) = CONSTANTS(:,40).*log(CONSTANTS(:,9)./STATES(:,3));
ALGEBRAIC(:,28) = CONSTANTS(:,14).*(STATES(:,1) - ALGEBRAIC(:,1));
ALGEBRAIC(:,31) = ( (( CONSTANTS(:,17).*CONSTANTS(:,8))./(CONSTANTS(:,18)+CONSTANTS(:,8))).*STATES(:,3))./(CONSTANTS(:,19)+STATES(:,3));
ALGEBRAIC(:,32) = ( CONSTANTS(:,21).*( exp(( CONSTANTS(:,23).*(CONSTANTS(:,20) - 2.00000).*STATES(:,1))./CONSTANTS(:,40)).*power(STATES(:,3), CONSTANTS(:,20)).*CONSTANTS(:,16) - exp(( (CONSTANTS(:,23) - 1.00000).*(CONSTANTS(:,20) - 2.00000).*STATES(:,1))./CONSTANTS(:,40)).*power(CONSTANTS(:,9), CONSTANTS(:,20)).*STATES(:,6)))./( (1.00000+ CONSTANTS(:,22).*( STATES(:,6).*power(CONSTANTS(:,9), CONSTANTS(:,20))+ CONSTANTS(:,16).*power(STATES(:,3), CONSTANTS(:,20)))).*(1.00000+STATES(:,6)./0.00690000));
ALGEBRAIC(:,33) = CONSTANTS(:,40).*log((CONSTANTS(:,9)+ 0.120000.*CONSTANTS(:,8))./(STATES(:,3)+ 0.120000.*STATES(:,2)));
ALGEBRAIC(:,34) = CONSTANTS(:,24).*power(STATES(:,7), 3.00000).*STATES(:,8).*(STATES(:,1) - ALGEBRAIC(:,33));
ALGEBRAIC(:,21) = (( power(STATES(:,4), 2.00000).*CONSTANTS(:,8))./(CONSTANTS(:,8)+CONSTANTS(:,7))).*CONSTANTS(:,5).*(STATES(:,1) - ALGEBRAIC(:,1));
ALGEBRAIC(:,38) = (( 0.0100000.*CONSTANTS(:,26).*(STATES(:,1) - 50.0000))./( CONSTANTS(:,40).*(1.00000 - exp(( - 1.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,40))))).*( STATES(:,3).*exp(50.0000./CONSTANTS(:,40)) - CONSTANTS(:,9).*exp(( - 1.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,40))).*STATES(:,9).*STATES(:,10).*STATES(:,11);
ALGEBRAIC(:,37) = (( 2.00000.*1.00000.*CONSTANTS(:,42).*CONSTANTS(:,3))./( 1.00000.*CONSTANTS(:,36).*CONSTANTS(:,34))).*STATES(:,6).*(CONSTANTS(:,34) - STATES(:,12));
ALGEBRAIC(:,39) = (( 2.00000.*1.00000.*CONSTANTS(:,44).*CONSTANTS(:,3))./( 1.00000.*CONSTANTS(:,37))).*STATES(:,14).*(STATES(:,12) - STATES(:,13));
ALGEBRAIC(:,25) = ( CONSTANTS(:,11).*(STATES(:,2) - CONSTANTS(:,8).*exp( - STATES(:,1)./CONSTANTS(:,40))))./140.000;
ALGEBRAIC(:,26) = STATES(:,5).*ALGEBRAIC(:,25);
ALGEBRAIC(:,10) = CONSTANTS(:,40).*log(CONSTANTS(:,8)./STATES(:,2));
ALGEBRAIC(:,27) = ( (( CONSTANTS(:,12).*CONSTANTS(:,8))./(CONSTANTS(:,8)+CONSTANTS(:,13))).*(STATES(:,1) - ALGEBRAIC(:,10)))./(1.00000+exp(( ((STATES(:,1)+10.0000) - ALGEBRAIC(:,10)).*2.00000)./CONSTANTS(:,40)));
ALGEBRAIC(:,23) = (( power(STATES(:,4), 2.00000).*CONSTANTS(:,8))./(CONSTANTS(:,8)+CONSTANTS(:,7))).*CONSTANTS(:,6).*(STATES(:,1) - ALGEBRAIC(:,10));
ALGEBRAIC(:,36) = (( 0.0100000.*CONSTANTS(:,26).*(STATES(:,1) - 50.0000))./( CONSTANTS(:,40).*(1.00000 - exp(( - 1.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,40))))).*( STATES(:,2).*exp(50.0000./CONSTANTS(:,40)) - CONSTANTS(:,8).*exp(( - 1.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,40))).*STATES(:,9).*STATES(:,10).*STATES(:,11);
ALGEBRAIC(:,40) = (ALGEBRAIC(:,27)+ALGEBRAIC(:,26)+ALGEBRAIC(:,23)+ALGEBRAIC(:,36)) - 2.00000.*ALGEBRAIC(:,31);
ALGEBRAIC(:,24) = ALGEBRAIC(:,21)+ALGEBRAIC(:,23);
ALGEBRAIC(:,29) = 0.500000.*CONSTANTS(:,40).*log(CONSTANTS(:,16)./STATES(:,6));
ALGEBRAIC(:,30) = CONSTANTS(:,15).*(STATES(:,1) - ALGEBRAIC(:,29));
ALGEBRAIC(:,35) = (( 4.00000.*CONSTANTS(:,26).*(STATES(:,1) - 50.0000))./( CONSTANTS(:,40).*(1.00000 - exp(( - 1.00000.*(STATES(:,1) - 50.0000).*2.00000)./CONSTANTS(:,40))))).*( STATES(:,6).*exp(100.000./CONSTANTS(:,40)) - CONSTANTS(:,16).*exp(( - 2.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,40))).*STATES(:,9).*STATES(:,10).*STATES(:,11);
ALGEBRAIC(:,41) = ALGEBRAIC(:,35)+ALGEBRAIC(:,36)+ALGEBRAIC(:,38);
ALGEBRAIC(:,42) = ( (( 2.00000.*1.00000.*CONSTANTS(:,44).*CONSTANTS(:,3))./( 1.00000.*CONSTANTS(:,38))).*STATES(:,13).*power(STATES(:,6), CONSTANTS(:,39)))./(power(STATES(:,6), CONSTANTS(:,39))+power(CONSTANTS(:,35), CONSTANTS(:,39)));
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