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 =45;
end
% There are a total of 16 entries in each of the rate and state variable arrays.
% There are a total of 50 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(:,46) = strpad('RTONF in component membrane (millivolt)');
LEGEND_CONSTANTS(:,4) = strpad('C in component membrane (microF)');
LEGEND_CONSTANTS(:,5) = strpad('i_pulse in component membrane (nanoA)');
LEGEND_ALGEBRAIC(:,26) = strpad('i_f in component hyperpolarising_activated_current (nanoA)');
LEGEND_ALGEBRAIC(:,28) = strpad('i_K in component time_dependent_potassium_current (nanoA)');
LEGEND_ALGEBRAIC(:,29) = strpad('i_K1 in component time_independent_potassium_current (nanoA)');
LEGEND_ALGEBRAIC(:,30) = strpad('i_to in component transient_outward_current (nanoA)');
LEGEND_ALGEBRAIC(:,31) = strpad('i_Na_b in component sodium_background_current (nanoA)');
LEGEND_ALGEBRAIC(:,33) = strpad('i_Ca_b in component calcium_background_current (nanoA)');
LEGEND_ALGEBRAIC(:,34) = strpad('i_p in component sodium_potassium_pump (nanoA)');
LEGEND_ALGEBRAIC(:,35) = strpad('i_NaCa in component Na_Ca_exchanger (nanoA)');
LEGEND_ALGEBRAIC(:,37) = strpad('i_Na in component fast_sodium_current (nanoA)');
LEGEND_ALGEBRAIC(:,44) = strpad('i_si in component second_inward_current (nanoA)');
LEGEND_ALGEBRAIC(:,24) = strpad('i_fNa in component hyperpolarising_activated_current (nanoA)');
LEGEND_ALGEBRAIC(:,1) = strpad('E_Na in component hyperpolarising_activated_current (millivolt)');
LEGEND_ALGEBRAIC(:,11) = strpad('E_K in component hyperpolarising_activated_current (millivolt)');
LEGEND_ALGEBRAIC(:,25) = strpad('i_fK in component hyperpolarising_activated_current (nanoA)');
LEGEND_CONSTANTS(:,6) = strpad('g_f_Na in component hyperpolarising_activated_current (microS)');
LEGEND_CONSTANTS(:,7) = strpad('g_f_K in component hyperpolarising_activated_current (microS)');
LEGEND_CONSTANTS(:,8) = strpad('Km_f in component hyperpolarising_activated_current (millimolar)');
LEGEND_STATES(:,2) = strpad('Kc in component extracellular_potassium_concentration (millimolar)');
LEGEND_STATES(:,3) = strpad('Ki in component intracellular_potassium_concentration (millimolar)');
LEGEND_STATES(:,4) = strpad('Nai in component intracellular_sodium_concentration (millimolar)');
LEGEND_CONSTANTS(:,9) = strpad('Nao in component extracellular_sodium_concentration (millimolar)');
LEGEND_STATES(:,5) = 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(:,20) = strpad('beta_y in component hyperpolarising_activated_current_y_gate (per_second)');
LEGEND_CONSTANTS(:,10) = strpad('delta_y in component hyperpolarising_activated_current_y_gate (millivolt)');
LEGEND_ALGEBRAIC(:,12) = strpad('E0_y in component hyperpolarising_activated_current_y_gate (millivolt)');
LEGEND_ALGEBRAIC(:,27) = 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(:,6) = 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(:,13) = 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('Km_to in component transient_outward_current (millimolar)');
LEGEND_CONSTANTS(:,15) = strpad('Km_Ca in component transient_outward_current (millimolar)');
LEGEND_CONSTANTS(:,16) = strpad('g_to in component transient_outward_current (microS_per_millimolar)');
LEGEND_STATES(:,7) = strpad('Cai in component intracellular_calcium_concentration (millimolar)');
LEGEND_STATES(:,8) = strpad('s in component transient_outward_current_s_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,4) = strpad('alpha_s in component transient_outward_current_s_gate (per_second)');
LEGEND_ALGEBRAIC(:,14) = strpad('beta_s in component transient_outward_current_s_gate (per_second)');
LEGEND_CONSTANTS(:,17) = strpad('g_Nab in component sodium_background_current (microS)');
LEGEND_ALGEBRAIC(:,32) = strpad('E_Ca in component calcium_background_current (millivolt)');
LEGEND_CONSTANTS(:,18) = strpad('g_Cab in component calcium_background_current (microS)');
LEGEND_CONSTANTS(:,19) = strpad('Cao in component extracellular_calcium_concentration (millimolar)');
LEGEND_CONSTANTS(:,20) = strpad('I_p in component sodium_potassium_pump (nanoA)');
LEGEND_CONSTANTS(:,21) = strpad('K_mK in component sodium_potassium_pump (millimolar)');
LEGEND_CONSTANTS(:,22) = strpad('K_mNa in component sodium_potassium_pump (millimolar)');
LEGEND_CONSTANTS(:,23) = strpad('n_NaCa in component Na_Ca_exchanger (dimensionless)');
LEGEND_CONSTANTS(:,24) = strpad('K_NaCa in component Na_Ca_exchanger (nanoA)');
LEGEND_CONSTANTS(:,25) = strpad('d_NaCa in component Na_Ca_exchanger (dimensionless)');
LEGEND_CONSTANTS(:,26) = strpad('gamma in component Na_Ca_exchanger (dimensionless)');
LEGEND_CONSTANTS(:,27) = strpad('g_Na in component fast_sodium_current (microS)');
LEGEND_ALGEBRAIC(:,36) = strpad('E_mh in component fast_sodium_current (millivolt)');
LEGEND_STATES(:,9) = strpad('m in component fast_sodium_current_m_gate (dimensionless)');
LEGEND_STATES(:,10) = strpad('h in component fast_sodium_current_h_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,15) = strpad('alpha_m in component fast_sodium_current_m_gate (per_second)');
LEGEND_ALGEBRAIC(:,21) = strpad('beta_m in component fast_sodium_current_m_gate (per_second)');
LEGEND_CONSTANTS(:,28) = strpad('delta_m in component fast_sodium_current_m_gate (millivolt)');
LEGEND_ALGEBRAIC(:,5) = strpad('E0_m in component fast_sodium_current_m_gate (millivolt)');
LEGEND_ALGEBRAIC(:,6) = strpad('alpha_h in component fast_sodium_current_h_gate (per_second)');
LEGEND_ALGEBRAIC(:,16) = strpad('beta_h in component fast_sodium_current_h_gate (per_second)');
LEGEND_ALGEBRAIC(:,38) = strpad('i_siCa in component second_inward_current (nanoA)');
LEGEND_ALGEBRAIC(:,39) = strpad('i_siK in component second_inward_current (nanoA)');
LEGEND_ALGEBRAIC(:,41) = strpad('i_siNa in component second_inward_current (nanoA)');
LEGEND_CONSTANTS(:,29) = strpad('P_si in component second_inward_current (nanoA_per_millimolar)');
LEGEND_STATES(:,11) = strpad('d in component second_inward_current_d_gate (dimensionless)');
LEGEND_STATES(:,12) = strpad('f in component second_inward_current_f_gate (dimensionless)');
LEGEND_STATES(:,13) = strpad('f2 in component second_inward_current_f2_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,17) = strpad('alpha_d in component second_inward_current_d_gate (per_second)');
LEGEND_ALGEBRAIC(:,22) = strpad('beta_d in component second_inward_current_d_gate (per_second)');
LEGEND_CONSTANTS(:,30) = strpad('delta_d in component second_inward_current_d_gate (millivolt)');
LEGEND_ALGEBRAIC(:,7) = strpad('E0_d in component second_inward_current_d_gate (millivolt)');
LEGEND_ALGEBRAIC(:,18) = strpad('alpha_f in component second_inward_current_f_gate (per_second)');
LEGEND_ALGEBRAIC(:,23) = strpad('beta_f in component second_inward_current_f_gate (per_second)');
LEGEND_CONSTANTS(:,31) = strpad('delta_f in component second_inward_current_f_gate (millivolt)');
LEGEND_ALGEBRAIC(:,8) = strpad('E0_f in component second_inward_current_f_gate (millivolt)');
LEGEND_CONSTANTS(:,32) = strpad('alpha_f2 in component second_inward_current_f2_gate (per_second)');
LEGEND_ALGEBRAIC(:,9) = strpad('beta_f2 in component second_inward_current_f2_gate (per_second)');
LEGEND_CONSTANTS(:,33) = strpad('K_mf2 in component second_inward_current_f2_gate (millimolar)');
LEGEND_CONSTANTS(:,34) = strpad('radius in component intracellular_sodium_concentration (micrometre)');
LEGEND_CONSTANTS(:,35) = strpad('length in component intracellular_sodium_concentration (micrometre)');
LEGEND_CONSTANTS(:,36) = strpad('V_e_ratio in component intracellular_sodium_concentration (dimensionless)');
LEGEND_CONSTANTS(:,47) = strpad('V_Cell in component intracellular_sodium_concentration (micrometre3)');
LEGEND_CONSTANTS(:,48) = strpad('Vi in component intracellular_sodium_concentration (micrometre3)');
LEGEND_CONSTANTS(:,49) = strpad('V_up in component intracellular_calcium_concentration (micrometre3)');
LEGEND_CONSTANTS(:,50) = strpad('V_rel in component intracellular_calcium_concentration (micrometre3)');
LEGEND_ALGEBRAIC(:,40) = strpad('i_up in component intracellular_calcium_concentration (nanoA)');
LEGEND_ALGEBRAIC(:,42) = strpad('i_tr in component intracellular_calcium_concentration (nanoA)');
LEGEND_ALGEBRAIC(:,45) = strpad('i_rel in component intracellular_calcium_concentration (nanoA)');
LEGEND_STATES(:,14) = strpad('Ca_up in component intracellular_calcium_concentration (millimolar)');
LEGEND_STATES(:,15) = strpad('Ca_rel in component intracellular_calcium_concentration (millimolar)');
LEGEND_CONSTANTS(:,37) = strpad('Ca_up_max in component intracellular_calcium_concentration (millimolar)');
LEGEND_CONSTANTS(:,38) = strpad('K_mCa in component intracellular_calcium_concentration (millimolar)');
LEGEND_STATES(:,16) = strpad('p in component intracellular_calcium_concentration (dimensionless)');
LEGEND_ALGEBRAIC(:,10) = strpad('alpha_p in component intracellular_calcium_concentration (per_second)');
LEGEND_ALGEBRAIC(:,19) = strpad('beta_p in component intracellular_calcium_concentration (per_second)');
LEGEND_CONSTANTS(:,39) = strpad('tau_up in component intracellular_calcium_concentration (second)');
LEGEND_CONSTANTS(:,40) = strpad('tau_rep in component intracellular_calcium_concentration (second)');
LEGEND_CONSTANTS(:,41) = strpad('tau_rel in component intracellular_calcium_concentration (second)');
LEGEND_CONSTANTS(:,42) = strpad('rCa in component intracellular_calcium_concentration (dimensionless)');
LEGEND_CONSTANTS(:,43) = strpad('Ve in component extracellular_potassium_concentration (micrometre3)');
LEGEND_CONSTANTS(:,44) = strpad('Kb in component extracellular_potassium_concentration (millimolar)');
LEGEND_ALGEBRAIC(:,43) = strpad('i_mK in component extracellular_potassium_concentration (nanoA)');
LEGEND_CONSTANTS(:,45) = strpad('pf in component extracellular_potassium_concentration (per_second)');
LEGEND_RATES(:,1) = strpad('d/dt V in component membrane (millivolt)');
LEGEND_RATES(:,5) = strpad('d/dt y in component hyperpolarising_activated_current_y_gate (dimensionless)');
LEGEND_RATES(:,6) = strpad('d/dt x in component time_dependent_potassium_current_x_gate (dimensionless)');
LEGEND_RATES(:,8) = strpad('d/dt s in component transient_outward_current_s_gate (dimensionless)');
LEGEND_RATES(:,9) = strpad('d/dt m in component fast_sodium_current_m_gate (dimensionless)');
LEGEND_RATES(:,10) = strpad('d/dt h in component fast_sodium_current_h_gate (dimensionless)');
LEGEND_RATES(:,11) = strpad('d/dt d in component second_inward_current_d_gate (dimensionless)');
LEGEND_RATES(:,12) = strpad('d/dt f in component second_inward_current_f_gate (dimensionless)');
LEGEND_RATES(:,13) = strpad('d/dt f2 in component second_inward_current_f2_gate (dimensionless)');
LEGEND_RATES(:,4) = strpad('d/dt Nai in component intracellular_sodium_concentration (millimolar)');
LEGEND_RATES(:,16) = strpad('d/dt p in component intracellular_calcium_concentration (dimensionless)');
LEGEND_RATES(:,14) = strpad('d/dt Ca_up in component intracellular_calcium_concentration (millimolar)');
LEGEND_RATES(:,15) = strpad('d/dt Ca_rel in component intracellular_calcium_concentration (millimolar)');
LEGEND_RATES(:,7) = strpad('d/dt Cai in component intracellular_calcium_concentration (millimolar)');
LEGEND_RATES(:,2) = strpad('d/dt Kc in component extracellular_potassium_concentration (millimolar)');
LEGEND_RATES(:,3) = 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) = -87;
CONSTANTS(:,1) = 8314.472;
CONSTANTS(:,2) = 310;
CONSTANTS(:,3) = 96485.3415;
CONSTANTS(:,4) = 0.075;
CONSTANTS(:,5) = 0;
CONSTANTS(:,6) = 3;
CONSTANTS(:,7) = 3;
CONSTANTS(:,8) = 45;
STATES(:,2) = 4;
STATES(:,3) = 140;
STATES(:,4) = 8;
CONSTANTS(:,9) = 140;
STATES(:,5) = 0.2;
CONSTANTS(:,10) = 1e-5;
CONSTANTS(:,11) = 180;
STATES(:,6) = 0.01;
CONSTANTS(:,12) = 920;
CONSTANTS(:,13) = 210;
CONSTANTS(:,14) = 10;
CONSTANTS(:,15) = 0.0005;
CONSTANTS(:,16) = 0.28;
STATES(:,7) = 5e-5;
STATES(:,8) = 1;
CONSTANTS(:,17) = 0.18;
CONSTANTS(:,18) = 0.02;
CONSTANTS(:,19) = 2;
CONSTANTS(:,20) = 125;
CONSTANTS(:,21) = 1;
CONSTANTS(:,22) = 40;
CONSTANTS(:,23) = 3;
CONSTANTS(:,24) = 0.02;
CONSTANTS(:,25) = 0.001;
CONSTANTS(:,26) = 0.5;
CONSTANTS(:,27) = 750;
STATES(:,9) = 0.01;
STATES(:,10) = 0.8;
CONSTANTS(:,28) = 1e-5;
CONSTANTS(:,29) = 15;
STATES(:,11) = 0.005;
STATES(:,12) = 1;
STATES(:,13) = 1;
CONSTANTS(:,30) = 0.0001;
CONSTANTS(:,31) = 0.0001;
CONSTANTS(:,32) = 5;
CONSTANTS(:,33) = 0.001;
CONSTANTS(:,34) = 0.05;
CONSTANTS(:,35) = 2;
CONSTANTS(:,36) = 0.1;
STATES(:,14) = 2;
STATES(:,15) = 1;
CONSTANTS(:,37) = 5;
CONSTANTS(:,38) = 0.001;
STATES(:,16) = 1;
CONSTANTS(:,39) = 0.025;
CONSTANTS(:,40) = 2;
CONSTANTS(:,41) = 0.05;
CONSTANTS(:,42) = 2;
CONSTANTS(:,43) = 0.00157;
CONSTANTS(:,44) = 4;
CONSTANTS(:,45) = 0.7;
CONSTANTS(:,46) = ( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3);
CONSTANTS(:,47) = 3.14159.*power(CONSTANTS(:,34), 2.00000).*CONSTANTS(:,35);
CONSTANTS(:,48) = CONSTANTS(:,47).*(1.00000 - CONSTANTS(:,36));
CONSTANTS(:,49) = CONSTANTS(:,48).*0.0500000;
CONSTANTS(:,50) = CONSTANTS(:,48).*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(:,9) = ( STATES(:,7).*CONSTANTS(:,32))./CONSTANTS(:,33);
RATES(:,13) = CONSTANTS(:,32) - STATES(:,13).*(CONSTANTS(:,32)+ALGEBRAIC(:,9));
ALGEBRAIC(:,3) = ( 0.500000.*exp( 0.0826000.*(STATES(:,1)+50.0000)))./(1.00000+exp( 0.0570000.*(STATES(:,1)+50.0000)));
ALGEBRAIC(:,13) = ( 1.30000.*exp( - 0.0600000.*(STATES(:,1)+20.0000)))./(1.00000+exp( - 0.0400000.*(STATES(:,1)+20.0000)));
RATES(:,6) = ALGEBRAIC(:,3).*(1.00000 - STATES(:,6)) - ALGEBRAIC(:,13).*STATES(:,6);
ALGEBRAIC(:,4) = 0.0330000.*exp( - STATES(:,1)./17.0000);
ALGEBRAIC(:,14) = 33.0000./(1.00000+exp( - (STATES(:,1)+10.0000)./8.00000));
RATES(:,8) = ALGEBRAIC(:,4).*(1.00000 - STATES(:,8)) - ALGEBRAIC(:,14).*STATES(:,8);
ALGEBRAIC(:,6) = 20.0000.*exp( - 0.125000.*(STATES(:,1)+75.0000));
ALGEBRAIC(:,16) = 2000.00./( 320.000.*exp( - 0.100000.*(STATES(:,1)+75.0000))+1.00000);
RATES(:,10) = ALGEBRAIC(:,6).*(1.00000 - STATES(:,10)) - ALGEBRAIC(:,16).*STATES(:,10);
ALGEBRAIC(:,10) = ( 0.625000.*(STATES(:,1)+34.0000))./(exp((STATES(:,1)+34.0000)./4.00000) - 1.00000);
ALGEBRAIC(:,19) = 5.00000./(1.00000+exp(( - 1.00000.*(STATES(:,1)+34.0000))./4.00000));
RATES(:,16) = ALGEBRAIC(:,10).*(1.00000 - STATES(:,16)) - ALGEBRAIC(:,19).*STATES(:,16);
ALGEBRAIC(:,2) = 0.0500000.*exp( - 0.0670000.*((STATES(:,1)+52.0000) - 10.0000));
ALGEBRAIC(:,12) = (STATES(:,1)+52.0000) - 10.0000;
ALGEBRAIC(:,20) = piecewise({abs(ALGEBRAIC(:,12))<CONSTANTS(:,10), 2.50000 }, ( 1.00000.*ALGEBRAIC(:,12))./(1.00000 - exp( - 0.200000.*ALGEBRAIC(:,12))));
RATES(:,5) = ALGEBRAIC(:,2).*(1.00000 - STATES(:,5)) - ALGEBRAIC(:,20).*STATES(:,5);
ALGEBRAIC(:,5) = STATES(:,1)+41.0000;
ALGEBRAIC(:,15) = piecewise({abs(ALGEBRAIC(:,5))<CONSTANTS(:,28), 2000.00 }, ( 200.000.*ALGEBRAIC(:,5))./(1.00000 - exp( - 0.100000.*ALGEBRAIC(:,5))));
ALGEBRAIC(:,21) = 8000.00.*exp( - 0.0560000.*(STATES(:,1)+66.0000));
RATES(:,9) = ALGEBRAIC(:,15).*(1.00000 - STATES(:,9)) - ALGEBRAIC(:,21).*STATES(:,9);
ALGEBRAIC(:,7) = (STATES(:,1)+24.0000) - 5.00000;
ALGEBRAIC(:,17) = piecewise({abs(ALGEBRAIC(:,7))<CONSTANTS(:,30), 120.000 }, ( 30.0000.*ALGEBRAIC(:,7))./(1.00000 - exp(( - 1.00000.*ALGEBRAIC(:,7))./4.00000)));
ALGEBRAIC(:,22) = piecewise({abs(ALGEBRAIC(:,7))<CONSTANTS(:,30), 120.000 }, ( 12.0000.*ALGEBRAIC(:,7))./(exp(ALGEBRAIC(:,7)./10.0000) - 1.00000));
RATES(:,11) = ALGEBRAIC(:,17).*(1.00000 - STATES(:,11)) - ALGEBRAIC(:,22).*STATES(:,11);
ALGEBRAIC(:,8) = STATES(:,1)+34.0000;
ALGEBRAIC(:,18) = piecewise({abs(ALGEBRAIC(:,8))<CONSTANTS(:,31), 25.0000 }, ( 6.25000.*ALGEBRAIC(:,8))./(exp(ALGEBRAIC(:,8)./4.00000) - 1.00000));
ALGEBRAIC(:,23) = 50.0000./(1.00000+exp(( - 1.00000.*(STATES(:,1)+34.0000))./4.00000));
RATES(:,12) = ALGEBRAIC(:,18).*(1.00000 - STATES(:,12)) - ALGEBRAIC(:,23).*STATES(:,12);
ALGEBRAIC(:,1) = CONSTANTS(:,46).*log(CONSTANTS(:,9)./STATES(:,4));
ALGEBRAIC(:,31) = CONSTANTS(:,17).*(STATES(:,1) - ALGEBRAIC(:,1));
ALGEBRAIC(:,34) = ( (( CONSTANTS(:,20).*STATES(:,2))./(CONSTANTS(:,21)+STATES(:,2))).*STATES(:,4))./(CONSTANTS(:,22)+STATES(:,4));
ALGEBRAIC(:,35) = ( CONSTANTS(:,24).*( exp(( CONSTANTS(:,26).*(CONSTANTS(:,23) - 2.00000).*STATES(:,1))./CONSTANTS(:,46)).*power(STATES(:,4), CONSTANTS(:,23)).*CONSTANTS(:,19) - exp(( (CONSTANTS(:,26) - 1.00000).*(CONSTANTS(:,23) - 2.00000).*STATES(:,1))./CONSTANTS(:,46)).*power(CONSTANTS(:,9), CONSTANTS(:,23)).*STATES(:,7)))./( (1.00000+ CONSTANTS(:,25).*( STATES(:,7).*power(CONSTANTS(:,9), CONSTANTS(:,23))+ CONSTANTS(:,19).*power(STATES(:,4), CONSTANTS(:,23)))).*(1.00000+STATES(:,7)./0.00690000));
ALGEBRAIC(:,36) = CONSTANTS(:,46).*log((CONSTANTS(:,9)+ 0.120000.*STATES(:,2))./(STATES(:,4)+ 0.120000.*STATES(:,3)));
ALGEBRAIC(:,37) = CONSTANTS(:,27).*power(STATES(:,9), 3.00000).*STATES(:,10).*(STATES(:,1) - ALGEBRAIC(:,36));
ALGEBRAIC(:,24) = (( STATES(:,5).*STATES(:,2))./(STATES(:,2)+CONSTANTS(:,8))).*CONSTANTS(:,6).*(STATES(:,1) - ALGEBRAIC(:,1));
ALGEBRAIC(:,41) = (( 0.0100000.*CONSTANTS(:,29).*(STATES(:,1) - 50.0000))./( CONSTANTS(:,46).*(1.00000 - exp(( - 1.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,46))))).*( STATES(:,4).*exp(50.0000./CONSTANTS(:,46)) - CONSTANTS(:,9).*exp(( - 1.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,46))).*STATES(:,11).*STATES(:,12).*STATES(:,13);
RATES(:,4) = ( - 1.00000.*(ALGEBRAIC(:,37)+ALGEBRAIC(:,31)+ALGEBRAIC(:,24)+ALGEBRAIC(:,41)+ ALGEBRAIC(:,34).*3.00000+( ALGEBRAIC(:,35).*CONSTANTS(:,23))./(CONSTANTS(:,23) - 2.00000)))./( 1.00000.*CONSTANTS(:,48).*CONSTANTS(:,3));
ALGEBRAIC(:,40) = (( 2.00000.*1.00000.*CONSTANTS(:,48).*CONSTANTS(:,3))./( 1.00000.*CONSTANTS(:,39).*CONSTANTS(:,37))).*STATES(:,7).*(CONSTANTS(:,37) - STATES(:,14));
ALGEBRAIC(:,42) = (( 2.00000.*1.00000.*CONSTANTS(:,50).*CONSTANTS(:,3))./( 1.00000.*CONSTANTS(:,40))).*STATES(:,16).*(STATES(:,14) - STATES(:,15));
RATES(:,14) = ( 1.00000.*(ALGEBRAIC(:,40) - ALGEBRAIC(:,42)))./( 2.00000.*1.00000.*CONSTANTS(:,49).*CONSTANTS(:,3));
ALGEBRAIC(:,27) = ( CONSTANTS(:,11).*(STATES(:,3) - STATES(:,2).*exp( - STATES(:,1)./CONSTANTS(:,46))))./140.000;
ALGEBRAIC(:,28) = STATES(:,6).*ALGEBRAIC(:,27);
ALGEBRAIC(:,11) = CONSTANTS(:,46).*log(STATES(:,2)./STATES(:,3));
ALGEBRAIC(:,29) = ( (( CONSTANTS(:,12).*STATES(:,2))./(STATES(:,2)+CONSTANTS(:,13))).*(STATES(:,1) - ALGEBRAIC(:,11)))./(1.00000+exp(( ((STATES(:,1)+10.0000) - ALGEBRAIC(:,11)).*2.00000)./CONSTANTS(:,46)));
ALGEBRAIC(:,30) = (( (( STATES(:,8).*CONSTANTS(:,16).*(0.200000+STATES(:,2)./(CONSTANTS(:,14)+STATES(:,2))).*STATES(:,7))./(CONSTANTS(:,15)+STATES(:,7))).*(STATES(:,1)+10.0000))./(1.00000 - exp( - 0.200000.*(STATES(:,1)+10.0000)))).*( STATES(:,3).*exp(( 0.500000.*STATES(:,1))./CONSTANTS(:,46)) - STATES(:,2).*exp(( - 0.500000.*STATES(:,1))./CONSTANTS(:,46)));
ALGEBRAIC(:,25) = (( STATES(:,5).*STATES(:,2))./(STATES(:,2)+CONSTANTS(:,8))).*CONSTANTS(:,7).*(STATES(:,1) - ALGEBRAIC(:,11));
ALGEBRAIC(:,39) = (( 0.0100000.*CONSTANTS(:,29).*(STATES(:,1) - 50.0000))./( CONSTANTS(:,46).*(1.00000 - exp(( - 1.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,46))))).*( STATES(:,3).*exp(50.0000./CONSTANTS(:,46)) - STATES(:,2).*exp(( - 1.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,46))).*STATES(:,11).*STATES(:,12).*STATES(:,13);
ALGEBRAIC(:,43) = (ALGEBRAIC(:,29)+ALGEBRAIC(:,28)+ALGEBRAIC(:,25)+ALGEBRAIC(:,39)+ALGEBRAIC(:,30)) - 2.00000.*ALGEBRAIC(:,34);
RATES(:,2) = - CONSTANTS(:,45).*(STATES(:,2) - CONSTANTS(:,44))+( 1.00000.*ALGEBRAIC(:,43))./( 1.00000.*CONSTANTS(:,43).*CONSTANTS(:,3));
RATES(:,3) = ( - 1.00000.*ALGEBRAIC(:,43))./( 1.00000.*CONSTANTS(:,48).*CONSTANTS(:,3));
ALGEBRAIC(:,26) = ALGEBRAIC(:,24)+ALGEBRAIC(:,25);
ALGEBRAIC(:,32) = 0.500000.*CONSTANTS(:,46).*log(CONSTANTS(:,19)./STATES(:,7));
ALGEBRAIC(:,33) = CONSTANTS(:,18).*(STATES(:,1) - ALGEBRAIC(:,32));
ALGEBRAIC(:,38) = (( 4.00000.*CONSTANTS(:,29).*(STATES(:,1) - 50.0000))./( CONSTANTS(:,46).*(1.00000 - exp(( - 1.00000.*(STATES(:,1) - 50.0000).*2.00000)./CONSTANTS(:,46))))).*( STATES(:,7).*exp(100.000./CONSTANTS(:,46)) - CONSTANTS(:,19).*exp(( - 2.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,46))).*STATES(:,11).*STATES(:,12).*STATES(:,13);
ALGEBRAIC(:,44) = ALGEBRAIC(:,38)+ALGEBRAIC(:,39)+ALGEBRAIC(:,41);
RATES(:,1) = - (ALGEBRAIC(:,26)+ALGEBRAIC(:,28)+ALGEBRAIC(:,29)+ALGEBRAIC(:,30)+ALGEBRAIC(:,31)+ALGEBRAIC(:,33)+ALGEBRAIC(:,34)+ALGEBRAIC(:,35)+ALGEBRAIC(:,37)+ALGEBRAIC(:,44)+CONSTANTS(:,5))./CONSTANTS(:,4);
ALGEBRAIC(:,45) = ( (( 2.00000.*1.00000.*CONSTANTS(:,50).*CONSTANTS(:,3))./( 1.00000.*CONSTANTS(:,41))).*STATES(:,15).*power(STATES(:,7), CONSTANTS(:,42)))./(power(STATES(:,7), CONSTANTS(:,42))+power(CONSTANTS(:,38), CONSTANTS(:,42)));
RATES(:,15) = ( 1.00000.*(ALGEBRAIC(:,42) - ALGEBRAIC(:,45)))./( 2.00000.*1.00000.*CONSTANTS(:,50).*CONSTANTS(:,3));
RATES(:,7) = ( - 1.00000.*((((ALGEBRAIC(:,38)+ALGEBRAIC(:,33)) - ( 2.00000.*ALGEBRAIC(:,35))./(CONSTANTS(:,23) - 2.00000)) - ALGEBRAIC(:,45))+ALGEBRAIC(:,40)))./( 2.00000.*1.00000.*CONSTANTS(:,48).*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(:,9) = ( STATES(:,7).*CONSTANTS(:,32))./CONSTANTS(:,33);
ALGEBRAIC(:,3) = ( 0.500000.*exp( 0.0826000.*(STATES(:,1)+50.0000)))./(1.00000+exp( 0.0570000.*(STATES(:,1)+50.0000)));
ALGEBRAIC(:,13) = ( 1.30000.*exp( - 0.0600000.*(STATES(:,1)+20.0000)))./(1.00000+exp( - 0.0400000.*(STATES(:,1)+20.0000)));
ALGEBRAIC(:,4) = 0.0330000.*exp( - STATES(:,1)./17.0000);
ALGEBRAIC(:,14) = 33.0000./(1.00000+exp( - (STATES(:,1)+10.0000)./8.00000));
ALGEBRAIC(:,6) = 20.0000.*exp( - 0.125000.*(STATES(:,1)+75.0000));
ALGEBRAIC(:,16) = 2000.00./( 320.000.*exp( - 0.100000.*(STATES(:,1)+75.0000))+1.00000);
ALGEBRAIC(:,10) = ( 0.625000.*(STATES(:,1)+34.0000))./(exp((STATES(:,1)+34.0000)./4.00000) - 1.00000);
ALGEBRAIC(:,19) = 5.00000./(1.00000+exp(( - 1.00000.*(STATES(:,1)+34.0000))./4.00000));
ALGEBRAIC(:,2) = 0.0500000.*exp( - 0.0670000.*((STATES(:,1)+52.0000) - 10.0000));
ALGEBRAIC(:,12) = (STATES(:,1)+52.0000) - 10.0000;
ALGEBRAIC(:,20) = piecewise({abs(ALGEBRAIC(:,12))<CONSTANTS(:,10), 2.50000 }, ( 1.00000.*ALGEBRAIC(:,12))./(1.00000 - exp( - 0.200000.*ALGEBRAIC(:,12))));
ALGEBRAIC(:,5) = STATES(:,1)+41.0000;
ALGEBRAIC(:,15) = piecewise({abs(ALGEBRAIC(:,5))<CONSTANTS(:,28), 2000.00 }, ( 200.000.*ALGEBRAIC(:,5))./(1.00000 - exp( - 0.100000.*ALGEBRAIC(:,5))));
ALGEBRAIC(:,21) = 8000.00.*exp( - 0.0560000.*(STATES(:,1)+66.0000));
ALGEBRAIC(:,7) = (STATES(:,1)+24.0000) - 5.00000;
ALGEBRAIC(:,17) = piecewise({abs(ALGEBRAIC(:,7))<CONSTANTS(:,30), 120.000 }, ( 30.0000.*ALGEBRAIC(:,7))./(1.00000 - exp(( - 1.00000.*ALGEBRAIC(:,7))./4.00000)));
ALGEBRAIC(:,22) = piecewise({abs(ALGEBRAIC(:,7))<CONSTANTS(:,30), 120.000 }, ( 12.0000.*ALGEBRAIC(:,7))./(exp(ALGEBRAIC(:,7)./10.0000) - 1.00000));
ALGEBRAIC(:,8) = STATES(:,1)+34.0000;
ALGEBRAIC(:,18) = piecewise({abs(ALGEBRAIC(:,8))<CONSTANTS(:,31), 25.0000 }, ( 6.25000.*ALGEBRAIC(:,8))./(exp(ALGEBRAIC(:,8)./4.00000) - 1.00000));
ALGEBRAIC(:,23) = 50.0000./(1.00000+exp(( - 1.00000.*(STATES(:,1)+34.0000))./4.00000));
ALGEBRAIC(:,1) = CONSTANTS(:,46).*log(CONSTANTS(:,9)./STATES(:,4));
ALGEBRAIC(:,31) = CONSTANTS(:,17).*(STATES(:,1) - ALGEBRAIC(:,1));
ALGEBRAIC(:,34) = ( (( CONSTANTS(:,20).*STATES(:,2))./(CONSTANTS(:,21)+STATES(:,2))).*STATES(:,4))./(CONSTANTS(:,22)+STATES(:,4));
ALGEBRAIC(:,35) = ( CONSTANTS(:,24).*( exp(( CONSTANTS(:,26).*(CONSTANTS(:,23) - 2.00000).*STATES(:,1))./CONSTANTS(:,46)).*power(STATES(:,4), CONSTANTS(:,23)).*CONSTANTS(:,19) - exp(( (CONSTANTS(:,26) - 1.00000).*(CONSTANTS(:,23) - 2.00000).*STATES(:,1))./CONSTANTS(:,46)).*power(CONSTANTS(:,9), CONSTANTS(:,23)).*STATES(:,7)))./( (1.00000+ CONSTANTS(:,25).*( STATES(:,7).*power(CONSTANTS(:,9), CONSTANTS(:,23))+ CONSTANTS(:,19).*power(STATES(:,4), CONSTANTS(:,23)))).*(1.00000+STATES(:,7)./0.00690000));
ALGEBRAIC(:,36) = CONSTANTS(:,46).*log((CONSTANTS(:,9)+ 0.120000.*STATES(:,2))./(STATES(:,4)+ 0.120000.*STATES(:,3)));
ALGEBRAIC(:,37) = CONSTANTS(:,27).*power(STATES(:,9), 3.00000).*STATES(:,10).*(STATES(:,1) - ALGEBRAIC(:,36));
ALGEBRAIC(:,24) = (( STATES(:,5).*STATES(:,2))./(STATES(:,2)+CONSTANTS(:,8))).*CONSTANTS(:,6).*(STATES(:,1) - ALGEBRAIC(:,1));
ALGEBRAIC(:,41) = (( 0.0100000.*CONSTANTS(:,29).*(STATES(:,1) - 50.0000))./( CONSTANTS(:,46).*(1.00000 - exp(( - 1.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,46))))).*( STATES(:,4).*exp(50.0000./CONSTANTS(:,46)) - CONSTANTS(:,9).*exp(( - 1.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,46))).*STATES(:,11).*STATES(:,12).*STATES(:,13);
ALGEBRAIC(:,40) = (( 2.00000.*1.00000.*CONSTANTS(:,48).*CONSTANTS(:,3))./( 1.00000.*CONSTANTS(:,39).*CONSTANTS(:,37))).*STATES(:,7).*(CONSTANTS(:,37) - STATES(:,14));
ALGEBRAIC(:,42) = (( 2.00000.*1.00000.*CONSTANTS(:,50).*CONSTANTS(:,3))./( 1.00000.*CONSTANTS(:,40))).*STATES(:,16).*(STATES(:,14) - STATES(:,15));
ALGEBRAIC(:,27) = ( CONSTANTS(:,11).*(STATES(:,3) - STATES(:,2).*exp( - STATES(:,1)./CONSTANTS(:,46))))./140.000;
ALGEBRAIC(:,28) = STATES(:,6).*ALGEBRAIC(:,27);
ALGEBRAIC(:,11) = CONSTANTS(:,46).*log(STATES(:,2)./STATES(:,3));
ALGEBRAIC(:,29) = ( (( CONSTANTS(:,12).*STATES(:,2))./(STATES(:,2)+CONSTANTS(:,13))).*(STATES(:,1) - ALGEBRAIC(:,11)))./(1.00000+exp(( ((STATES(:,1)+10.0000) - ALGEBRAIC(:,11)).*2.00000)./CONSTANTS(:,46)));
ALGEBRAIC(:,30) = (( (( STATES(:,8).*CONSTANTS(:,16).*(0.200000+STATES(:,2)./(CONSTANTS(:,14)+STATES(:,2))).*STATES(:,7))./(CONSTANTS(:,15)+STATES(:,7))).*(STATES(:,1)+10.0000))./(1.00000 - exp( - 0.200000.*(STATES(:,1)+10.0000)))).*( STATES(:,3).*exp(( 0.500000.*STATES(:,1))./CONSTANTS(:,46)) - STATES(:,2).*exp(( - 0.500000.*STATES(:,1))./CONSTANTS(:,46)));
ALGEBRAIC(:,25) = (( STATES(:,5).*STATES(:,2))./(STATES(:,2)+CONSTANTS(:,8))).*CONSTANTS(:,7).*(STATES(:,1) - ALGEBRAIC(:,11));
ALGEBRAIC(:,39) = (( 0.0100000.*CONSTANTS(:,29).*(STATES(:,1) - 50.0000))./( CONSTANTS(:,46).*(1.00000 - exp(( - 1.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,46))))).*( STATES(:,3).*exp(50.0000./CONSTANTS(:,46)) - STATES(:,2).*exp(( - 1.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,46))).*STATES(:,11).*STATES(:,12).*STATES(:,13);
ALGEBRAIC(:,43) = (ALGEBRAIC(:,29)+ALGEBRAIC(:,28)+ALGEBRAIC(:,25)+ALGEBRAIC(:,39)+ALGEBRAIC(:,30)) - 2.00000.*ALGEBRAIC(:,34);
ALGEBRAIC(:,26) = ALGEBRAIC(:,24)+ALGEBRAIC(:,25);
ALGEBRAIC(:,32) = 0.500000.*CONSTANTS(:,46).*log(CONSTANTS(:,19)./STATES(:,7));
ALGEBRAIC(:,33) = CONSTANTS(:,18).*(STATES(:,1) - ALGEBRAIC(:,32));
ALGEBRAIC(:,38) = (( 4.00000.*CONSTANTS(:,29).*(STATES(:,1) - 50.0000))./( CONSTANTS(:,46).*(1.00000 - exp(( - 1.00000.*(STATES(:,1) - 50.0000).*2.00000)./CONSTANTS(:,46))))).*( STATES(:,7).*exp(100.000./CONSTANTS(:,46)) - CONSTANTS(:,19).*exp(( - 2.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,46))).*STATES(:,11).*STATES(:,12).*STATES(:,13);
ALGEBRAIC(:,44) = ALGEBRAIC(:,38)+ALGEBRAIC(:,39)+ALGEBRAIC(:,41);
ALGEBRAIC(:,45) = ( (( 2.00000.*1.00000.*CONSTANTS(:,50).*CONSTANTS(:,3))./( 1.00000.*CONSTANTS(:,41))).*STATES(:,15).*power(STATES(:,7), CONSTANTS(:,42)))./(power(STATES(:,7), CONSTANTS(:,42))+power(CONSTANTS(:,38), CONSTANTS(:,42)));
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