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 =41;
end
% There are a total of 16 entries in each of the rate and state variable arrays.
% There are a total of 54 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(:,27) = strpad('i_b_K in component potassium_background_current (nanoA)');
LEGEND_ALGEBRAIC(:,28) = strpad('i_K1 in component time_independent_potassium_current (nanoA)');
LEGEND_ALGEBRAIC(:,19) = strpad('i_to in component transient_outward_current (nanoA)');
LEGEND_ALGEBRAIC(:,23) = strpad('i_b_Na in component sodium_background_current (nanoA)');
LEGEND_ALGEBRAIC(:,25) = strpad('i_b_Ca in component calcium_background_current (nanoA)');
LEGEND_ALGEBRAIC(:,21) = strpad('i_NaK in component sodium_potassium_pump (nanoA)');
LEGEND_ALGEBRAIC(:,26) = strpad('i_NaCa in component Na_Ca_exchanger (nanoA)');
LEGEND_ALGEBRAIC(:,15) = strpad('i_Na in component fast_sodium_current (nanoA)');
LEGEND_ALGEBRAIC(:,39) = strpad('i_Ca_L in component L_type_calcium_current (nanoA)');
LEGEND_ALGEBRAIC(:,5) = 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(:,11) = 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(:,7) = strpad('alpha_m in component fast_sodium_current_m_gate (per_second)');
LEGEND_ALGEBRAIC(:,13) = 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(:,8) = strpad('beta_h in component fast_sodium_current_h_gate (per_second)');
LEGEND_CONSTANTS(:,14) = strpad('g_to in component transient_outward_current (microS)');
LEGEND_ALGEBRAIC(:,17) = strpad('E_K in component transient_outward_current (millivolt)');
LEGEND_CONSTANTS(:,15) = strpad('g_to_s in component transient_outward_current (dimensionless)');
LEGEND_STATES(:,6) = strpad('r in component transient_outward_current_r_gate (dimensionless)');
LEGEND_STATES(:,7) = strpad('s in component transient_outward_current_s_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,3) = strpad('alpha_s in component transient_outward_current_s_gate (per_second)');
LEGEND_ALGEBRAIC(:,9) = strpad('beta_s in component transient_outward_current_s_gate (per_second)');
LEGEND_CONSTANTS(:,16) = strpad('i_NaK_max in component sodium_potassium_pump (nanoA)');
LEGEND_CONSTANTS(:,17) = strpad('K_mK in component sodium_potassium_pump (millimolar)');
LEGEND_CONSTANTS(:,18) = strpad('K_mNa in component sodium_potassium_pump (millimolar)');
LEGEND_ALGEBRAIC(:,22) = strpad('E_Na in component sodium_background_current (millivolt)');
LEGEND_CONSTANTS(:,19) = strpad('g_b_Na in component sodium_background_current (microS)');
LEGEND_ALGEBRAIC(:,24) = strpad('E_Ca in component calcium_background_current (millivolt)');
LEGEND_CONSTANTS(:,20) = strpad('g_b_Ca in component calcium_background_current (microS)');
LEGEND_CONSTANTS(:,21) = strpad('Ca_o in component extracellular_calcium_concentration (millimolar)');
LEGEND_STATES(:,8) = strpad('Ca_i in component intracellular_calcium_concentration (millimolar)');
LEGEND_CONSTANTS(:,22) = strpad('k_NaCa in component Na_Ca_exchanger (nanoA)');
LEGEND_CONSTANTS(:,23) = strpad('n_NaCa in component Na_Ca_exchanger (dimensionless)');
LEGEND_CONSTANTS(:,24) = strpad('d_NaCa in component Na_Ca_exchanger (dimensionless)');
LEGEND_CONSTANTS(:,25) = strpad('gamma in component Na_Ca_exchanger (dimensionless)');
LEGEND_CONSTANTS(:,26) = strpad('g_b_K in component potassium_background_current (microS)');
LEGEND_CONSTANTS(:,27) = strpad('g_K1 in component time_independent_potassium_current (microS)');
LEGEND_CONSTANTS(:,28) = strpad('K_m_K1 in component time_independent_potassium_current (millimolar)');
LEGEND_ALGEBRAIC(:,34) = strpad('i_Ca_L_Ca in component L_type_calcium_current (nanoA)');
LEGEND_ALGEBRAIC(:,35) = strpad('i_Ca_L_K in component L_type_calcium_current (nanoA)');
LEGEND_ALGEBRAIC(:,37) = strpad('i_Ca_L_Na in component L_type_calcium_current (nanoA)');
LEGEND_CONSTANTS(:,29) = strpad('P_Ca_L in component L_type_calcium_current (nanoA_per_millimolar)');
LEGEND_STATES(:,9) = strpad('d in component L_type_calcium_current_d_gate (dimensionless)');
LEGEND_STATES(:,10) = strpad('f_Ca in component L_type_calcium_current_f_Ca_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,33) = strpad('CaChon in component L_type_calcium_current_f_Ca_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,10) = strpad('alpha_d in component L_type_calcium_current_d_gate (per_second)');
LEGEND_ALGEBRAIC(:,14) = strpad('beta_d in component L_type_calcium_current_d_gate (per_second)');
LEGEND_ALGEBRAIC(:,4) = strpad('E0_d in component L_type_calcium_current_d_gate (millivolt)');
LEGEND_ALGEBRAIC(:,30) = strpad('alpha_f_Ca in component L_type_calcium_current_f_Ca_gate (per_second)');
LEGEND_ALGEBRAIC(:,31) = strpad('beta_f_Ca in component L_type_calcium_current_f_Ca_gate (per_second)');
LEGEND_ALGEBRAIC(:,32) = strpad('CaChoff in component L_type_calcium_current_f_Ca_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,29) = strpad('E0_f in component L_type_calcium_current_f_Ca_gate (millivolt)');
LEGEND_ALGEBRAIC(:,38) = 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(:,36) = strpad('K_2 in component sarcoplasmic_reticulum_calcium_pump (millimolar)');
LEGEND_CONSTANTS(:,30) = strpad('K_cyca in component sarcoplasmic_reticulum_calcium_pump (millimolar)');
LEGEND_CONSTANTS(:,31) = strpad('K_xcs in component sarcoplasmic_reticulum_calcium_pump (dimensionless)');
LEGEND_CONSTANTS(:,32) = strpad('K_srca in component sarcoplasmic_reticulum_calcium_pump (millimolar)');
LEGEND_CONSTANTS(:,33) = strpad('alpha_up in component sarcoplasmic_reticulum_calcium_pump (millimolar_per_second)');
LEGEND_CONSTANTS(:,34) = strpad('beta_up in component sarcoplasmic_reticulum_calcium_pump (millimolar_per_second)');
LEGEND_STATES(:,11) = strpad('Ca_up in component intracellular_calcium_concentration (millimolar)');
LEGEND_ALGEBRAIC(:,40) = strpad('i_rel in component calcium_release (millimolar_per_second)');
LEGEND_ALGEBRAIC(:,12) = strpad('VoltDep in component calcium_release (dimensionless)');
LEGEND_ALGEBRAIC(:,16) = strpad('RegBindSite in component calcium_release (dimensionless)');
LEGEND_ALGEBRAIC(:,18) = strpad('ActRate in component calcium_release (per_second)');
LEGEND_ALGEBRAIC(:,20) = strpad('InactRate in component calcium_release (per_second)');
LEGEND_CONSTANTS(:,35) = strpad('K_leak_rate in component calcium_release (per_second)');
LEGEND_CONSTANTS(:,36) = strpad('K_m_rel in component calcium_release (per_second)');
LEGEND_ALGEBRAIC(:,6) = strpad('PrecFrac in component calcium_release (dimensionless)');
LEGEND_STATES(:,12) = strpad('ActFrac in component calcium_release (dimensionless)');
LEGEND_STATES(:,13) = strpad('ProdFrac in component calcium_release (dimensionless)');
LEGEND_CONSTANTS(:,37) = strpad('ProdFracRate in component calcium_release (per_second)');
LEGEND_STATES(:,14) = strpad('Ca_rel in component intracellular_calcium_concentration (millimolar)');
LEGEND_ALGEBRAIC(:,41) = strpad('i_trans in component calcium_translocation (millimolar_per_second)');
LEGEND_CONSTANTS(:,38) = strpad('alpha_tr in component calcium_translocation (per_second)');
LEGEND_CONSTANTS(:,54) = strpad('V_i in component intracellular_calcium_concentration (micrometre3)');
LEGEND_STATES(:,15) = strpad('Ca_Calmod in component intracellular_calcium_concentration (millimolar)');
LEGEND_STATES(:,16) = 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_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(:,6) = strpad('d/dt r in component transient_outward_current_r_gate (dimensionless)');
LEGEND_RATES(:,7) = strpad('d/dt s in component transient_outward_current_s_gate (dimensionless)');
LEGEND_RATES(:,9) = strpad('d/dt d in component L_type_calcium_current_d_gate (dimensionless)');
LEGEND_RATES(:,10) = strpad('d/dt f_Ca in component L_type_calcium_current_f_Ca_gate (dimensionless)');
LEGEND_RATES(:,12) = strpad('d/dt ActFrac in component calcium_release (dimensionless)');
LEGEND_RATES(:,13) = 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(:,3) = strpad('d/dt K_i in component intracellular_potassium_concentration (millimolar)');
LEGEND_RATES(:,8) = strpad('d/dt Ca_i in component intracellular_calcium_concentration (millimolar)');
LEGEND_RATES(:,15) = strpad('d/dt Ca_Calmod in component intracellular_calcium_concentration (millimolar)');
LEGEND_RATES(:,16) = strpad('d/dt Ca_Trop in component intracellular_calcium_concentration (millimolar)');
LEGEND_RATES(:,11) = strpad('d/dt Ca_up in component intracellular_calcium_concentration (millimolar)');
LEGEND_RATES(:,14) = strpad('d/dt Ca_rel 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) = -91.6;
CONSTANTS(:,1) = 8314.472;
CONSTANTS(:,2) = 310;
CONSTANTS(:,3) = 96485.3415;
CONSTANTS(:,4) = 4e-5;
CONSTANTS(:,5) = 0.1;
CONSTANTS(:,6) = 100000;
CONSTANTS(:,7) = 1;
CONSTANTS(:,8) = 0.002;
CONSTANTS(:,9) = -1.3;
CONSTANTS(:,10) = 0.5;
CONSTANTS(:,11) = 140;
STATES(:,2) = 6.48;
CONSTANTS(:,12) = 4;
STATES(:,3) = 140;
STATES(:,4) = 0.076;
STATES(:,5) = 0.015;
CONSTANTS(:,13) = 1e-5;
CONSTANTS(:,14) = 0.01;
CONSTANTS(:,15) = 0;
STATES(:,6) = 0;
STATES(:,7) = 1;
CONSTANTS(:,16) = 0.14;
CONSTANTS(:,17) = 1;
CONSTANTS(:,18) = 40;
CONSTANTS(:,19) = 0.00012;
CONSTANTS(:,20) = 5e-5;
CONSTANTS(:,21) = 2;
STATES(:,8) = 1e-5;
CONSTANTS(:,22) = 0.0001;
CONSTANTS(:,23) = 3;
CONSTANTS(:,24) = 0.0001;
CONSTANTS(:,25) = 0.5;
CONSTANTS(:,26) = 0.0017;
CONSTANTS(:,27) = 0.017;
CONSTANTS(:,28) = 10;
CONSTANTS(:,29) = 0.05;
STATES(:,9) = 0.0011;
STATES(:,10) = 0.785;
CONSTANTS(:,30) = 0.0003;
CONSTANTS(:,31) = 0.4;
CONSTANTS(:,32) = 0.5;
CONSTANTS(:,33) = 3;
CONSTANTS(:,34) = 0.23;
STATES(:,11) = 0.3;
CONSTANTS(:,35) = 0;
CONSTANTS(:,36) = 250;
STATES(:,12) = 0;
STATES(:,13) = 0;
CONSTANTS(:,37) = 1;
STATES(:,14) = 0.3;
CONSTANTS(:,38) = 50;
STATES(:,15) = 0.0005;
STATES(:,16) = 0.0015;
CONSTANTS(:,39) = 0.02;
CONSTANTS(:,40) = 0.15;
CONSTANTS(:,41) = 100000;
CONSTANTS(:,42) = 50;
CONSTANTS(:,43) = 100000;
CONSTANTS(:,44) = 200;
CONSTANTS(:,45) = 0.01;
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(:,30).*CONSTANTS(:,31))./CONSTANTS(:,32);
CONSTANTS(:,53) = ((1.00000 - CONSTANTS(:,48)) - CONSTANTS(:,49)) - CONSTANTS(:,47);
CONSTANTS(:,54) = 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(:,6) = 333.000.*(1.00000./(1.00000+exp( - (STATES(:,1)+4.00000)./5.00000)) - STATES(:,6));
ALGEBRAIC(:,2) = 20.0000.*exp( - 0.125000.*(STATES(:,1)+75.0000));
ALGEBRAIC(:,8) = 2000.00./(1.00000+ 320.000.*exp( - 0.100000.*(STATES(:,1)+75.0000)));
RATES(:,5) = ALGEBRAIC(:,2).*(1.00000 - STATES(:,5)) - ALGEBRAIC(:,8).*STATES(:,5);
ALGEBRAIC(:,3) = 0.0330000.*exp( - STATES(:,1)./17.0000);
ALGEBRAIC(:,9) = 33.0000./(1.00000+exp( - 0.125000.*(STATES(:,1)+10.0000)));
RATES(:,7) = ALGEBRAIC(:,3).*(1.00000 - STATES(:,7)) - ALGEBRAIC(:,9).*STATES(:,7);
ALGEBRAIC(:,1) = STATES(:,1)+41.0000;
ALGEBRAIC(:,7) = piecewise({abs(ALGEBRAIC(:,1))<CONSTANTS(:,13), 2000.00 }, ( 200.000.*ALGEBRAIC(:,1))./(1.00000 - exp( - 0.100000.*ALGEBRAIC(:,1))));
ALGEBRAIC(:,13) = 8000.00.*exp( - 0.0560000.*(STATES(:,1)+66.0000));
RATES(:,4) = ALGEBRAIC(:,7).*(1.00000 - STATES(:,4)) - ALGEBRAIC(:,13).*STATES(:,4);
ALGEBRAIC(:,4) = STATES(:,1)+19.0000;
ALGEBRAIC(:,10) = piecewise({abs(ALGEBRAIC(:,4))<0.000100000, 120.000 }, ( 30.0000.*ALGEBRAIC(:,4))./(1.00000 - exp( - ALGEBRAIC(:,4)./4.00000)));
ALGEBRAIC(:,14) = piecewise({abs(ALGEBRAIC(:,4))<0.000100000, 120.000 }, ( 12.0000.*ALGEBRAIC(:,4))./(exp(ALGEBRAIC(:,4)./10.0000) - 1.00000));
RATES(:,9) = ALGEBRAIC(:,10).*(1.00000 - STATES(:,9)) - ALGEBRAIC(:,14).*STATES(:,9);
ALGEBRAIC(:,12) = exp( 0.0800000.*(STATES(:,1) - 40.0000));
ALGEBRAIC(:,16) = power(STATES(:,8)./(STATES(:,8)+0.000500000), 2.00000);
ALGEBRAIC(:,18) = 600.000.*ALGEBRAIC(:,12)+ 500.000.*ALGEBRAIC(:,16);
ALGEBRAIC(:,20) = 60.0000+ 500.000.*ALGEBRAIC(:,16);
ALGEBRAIC(:,6) = (1.00000 - STATES(:,12)) - STATES(:,13);
RATES(:,12) = ALGEBRAIC(:,6).*ALGEBRAIC(:,18) - STATES(:,12).*ALGEBRAIC(:,20);
RATES(:,13) = STATES(:,12).*ALGEBRAIC(:,20) - CONSTANTS(:,37).*STATES(:,13);
ALGEBRAIC(:,29) = STATES(:,1)+34.0000;
ALGEBRAIC(:,30) = piecewise({abs(ALGEBRAIC(:,29))<0.000100000, 25.0000 }, ( 6.25000.*ALGEBRAIC(:,29))./(exp(ALGEBRAIC(:,29)./4.00000) - 1.00000));
ALGEBRAIC(:,31) = 12.0000./(1.00000+exp( - ALGEBRAIC(:,29)./4.00000));
ALGEBRAIC(:,32) = STATES(:,8)./(0.00100000+STATES(:,8));
RATES(:,10) = ( 120.000.*(1.00000 - STATES(:,10)).*ALGEBRAIC(:,32)+ (1.00000 - STATES(:,10)).*(1.00000 - ALGEBRAIC(:,32))).*ALGEBRAIC(:,31) - ALGEBRAIC(:,30).*STATES(:,10);
ALGEBRAIC(:,17) = CONSTANTS(:,50).*log(CONSTANTS(:,12)./STATES(:,3));
ALGEBRAIC(:,27) = CONSTANTS(:,26).*(STATES(:,1) - ALGEBRAIC(:,17));
ALGEBRAIC(:,28) = ( (( CONSTANTS(:,27).*CONSTANTS(:,12))./(CONSTANTS(:,12)+CONSTANTS(:,28))).*(STATES(:,1) - ALGEBRAIC(:,17)))./(1.00000+exp(( ((STATES(:,1) - ALGEBRAIC(:,17)) - 10.0000).*2.00000)./CONSTANTS(:,50)));
ALGEBRAIC(:,19) = CONSTANTS(:,14).*(CONSTANTS(:,15)+ STATES(:,7).*(1.00000 - CONSTANTS(:,15))).*STATES(:,6).*(STATES(:,1) - ALGEBRAIC(:,17));
ALGEBRAIC(:,21) = ( (( CONSTANTS(:,16).*CONSTANTS(:,12))./(CONSTANTS(:,17)+CONSTANTS(:,12))).*STATES(:,2))./(CONSTANTS(:,18)+STATES(:,2));
ALGEBRAIC(:,33) = (1.00000 - STATES(:,10)).*(1.00000 - ALGEBRAIC(:,32));
ALGEBRAIC(:,35) = ((( 0.00200000.*CONSTANTS(:,29).*STATES(:,9).*ALGEBRAIC(:,33).*(STATES(:,1) - 50.0000))./CONSTANTS(:,50))./(1.00000 - exp( - (STATES(:,1) - 50.0000)./CONSTANTS(:,50)))).*( STATES(:,3).*exp(50.0000./CONSTANTS(:,50)) - CONSTANTS(:,12).*exp( - (STATES(:,1) - 50.0000)./CONSTANTS(:,50)));
RATES(:,3) = ( - 1.00000./( 1.00000.*CONSTANTS(:,54).*CONSTANTS(:,3))).*((ALGEBRAIC(:,28)+ALGEBRAIC(:,35)+ALGEBRAIC(:,19)+ALGEBRAIC(:,27)) - 2.00000.*ALGEBRAIC(:,21));
ALGEBRAIC(:,22) = CONSTANTS(:,50).*log(CONSTANTS(:,11)./STATES(:,2));
ALGEBRAIC(:,23) = CONSTANTS(:,19).*(STATES(:,1) - ALGEBRAIC(:,22));
ALGEBRAIC(:,26) = ( CONSTANTS(:,22).*( exp(( CONSTANTS(:,25).*(CONSTANTS(:,23) - 2.00000).*STATES(:,1))./CONSTANTS(:,50)).*power(STATES(:,2), CONSTANTS(:,23)).*CONSTANTS(:,21) - exp(( (CONSTANTS(:,25) - 1.00000).*(CONSTANTS(:,23) - 2.00000).*STATES(:,1))./CONSTANTS(:,50)).*power(CONSTANTS(:,11), CONSTANTS(:,23)).*STATES(:,8)))./( (1.00000+ CONSTANTS(:,24).*( STATES(:,8).*power(CONSTANTS(:,11), CONSTANTS(:,23))+ CONSTANTS(:,21).*power(STATES(:,2), CONSTANTS(:,23)))).*(1.00000+STATES(:,8)./0.00690000));
ALGEBRAIC(:,11) = CONSTANTS(:,50).*log((CONSTANTS(:,11)+ 0.120000.*CONSTANTS(:,12))./(STATES(:,2)+ 0.120000.*STATES(:,3)));
ALGEBRAIC(:,15) = CONSTANTS(:,10).*power(STATES(:,4), 3.00000).*STATES(:,5).*(STATES(:,1) - ALGEBRAIC(:,11));
ALGEBRAIC(:,37) = ((( 0.0100000.*CONSTANTS(:,29).*STATES(:,9).*ALGEBRAIC(:,33).*(STATES(:,1) - 50.0000))./CONSTANTS(:,50))./(1.00000 - exp( - (STATES(:,1) - 50.0000)./CONSTANTS(:,50)))).*( STATES(:,2).*exp(50.0000./CONSTANTS(:,50)) - CONSTANTS(:,11).*exp( - (STATES(:,1) - 50.0000)./CONSTANTS(:,50)));
RATES(:,2) = ( - 1.00000./( 1.00000.*CONSTANTS(:,54).*CONSTANTS(:,3))).*(ALGEBRAIC(:,15)+ALGEBRAIC(:,23)+ 3.00000.*ALGEBRAIC(:,21)+ 3.00000.*ALGEBRAIC(:,26)+ALGEBRAIC(:,37));
ALGEBRAIC(:,24) = 0.500000.*CONSTANTS(:,50).*log(CONSTANTS(:,21)./STATES(:,8));
ALGEBRAIC(:,25) = CONSTANTS(:,20).*(STATES(:,1) - ALGEBRAIC(:,24));
ALGEBRAIC(:,34) = ((( 4.00000.*CONSTANTS(:,29).*STATES(:,9).*ALGEBRAIC(:,33).*(STATES(:,1) - 50.0000))./CONSTANTS(:,50))./(1.00000 - exp(( - (STATES(:,1) - 50.0000).*2.00000)./CONSTANTS(:,50)))).*( STATES(:,8).*exp(100.000./CONSTANTS(:,50)) - CONSTANTS(:,21).*exp(( - (STATES(:,1) - 50.0000).*2.00000)./CONSTANTS(:,50)));
ALGEBRAIC(:,39) = ALGEBRAIC(:,34)+ALGEBRAIC(:,35)+ALGEBRAIC(:,37);
ALGEBRAIC(:,5) = 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) = ( - 1.00000./CONSTANTS(:,4)).*(ALGEBRAIC(:,5)+ALGEBRAIC(:,27)+ALGEBRAIC(:,28)+ALGEBRAIC(:,19)+ALGEBRAIC(:,23)+ALGEBRAIC(:,25)+ALGEBRAIC(:,21)+ALGEBRAIC(:,26)+ALGEBRAIC(:,15)+ALGEBRAIC(:,39));
RATES(:,15) = CONSTANTS(:,41).*STATES(:,8).*(CONSTANTS(:,39) - STATES(:,15)) - CONSTANTS(:,42).*STATES(:,15);
RATES(:,16) = CONSTANTS(:,43).*STATES(:,8).*(CONSTANTS(:,40) - STATES(:,16)) - CONSTANTS(:,44).*STATES(:,16);
ALGEBRAIC(:,36) = STATES(:,8)+ STATES(:,11).*CONSTANTS(:,52)+ CONSTANTS(:,30).*CONSTANTS(:,31)+CONSTANTS(:,30);
ALGEBRAIC(:,38) = (STATES(:,8)./ALGEBRAIC(:,36)).*CONSTANTS(:,33) - (( STATES(:,11).*CONSTANTS(:,52))./ALGEBRAIC(:,36)).*CONSTANTS(:,34);
ALGEBRAIC(:,41) = (STATES(:,11) - STATES(:,14)).*CONSTANTS(:,38);
RATES(:,11) = (CONSTANTS(:,53)./CONSTANTS(:,49)).*ALGEBRAIC(:,38) - ALGEBRAIC(:,41);
ALGEBRAIC(:,40) = ( power(STATES(:,12)./(STATES(:,12)+0.250000), 2.00000).*CONSTANTS(:,36)+CONSTANTS(:,35)).*STATES(:,14);
RATES(:,14) = (CONSTANTS(:,49)./CONSTANTS(:,47)).*ALGEBRAIC(:,41) - ALGEBRAIC(:,40);
RATES(:,8) = ((( ( - 1.00000./( 2.00000.*1.00000.*CONSTANTS(:,54).*CONSTANTS(:,3))).*((ALGEBRAIC(:,34)+ALGEBRAIC(:,25)) - 2.00000.*ALGEBRAIC(:,26))+( ALGEBRAIC(:,40).*CONSTANTS(:,47))./CONSTANTS(:,53)) - RATES(:,15)) - RATES(:,16)) - ALGEBRAIC(:,38);
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(:,8) = 2000.00./(1.00000+ 320.000.*exp( - 0.100000.*(STATES(:,1)+75.0000)));
ALGEBRAIC(:,3) = 0.0330000.*exp( - STATES(:,1)./17.0000);
ALGEBRAIC(:,9) = 33.0000./(1.00000+exp( - 0.125000.*(STATES(:,1)+10.0000)));
ALGEBRAIC(:,1) = STATES(:,1)+41.0000;
ALGEBRAIC(:,7) = piecewise({abs(ALGEBRAIC(:,1))<CONSTANTS(:,13), 2000.00 }, ( 200.000.*ALGEBRAIC(:,1))./(1.00000 - exp( - 0.100000.*ALGEBRAIC(:,1))));
ALGEBRAIC(:,13) = 8000.00.*exp( - 0.0560000.*(STATES(:,1)+66.0000));
ALGEBRAIC(:,4) = STATES(:,1)+19.0000;
ALGEBRAIC(:,10) = piecewise({abs(ALGEBRAIC(:,4))<0.000100000, 120.000 }, ( 30.0000.*ALGEBRAIC(:,4))./(1.00000 - exp( - ALGEBRAIC(:,4)./4.00000)));
ALGEBRAIC(:,14) = piecewise({abs(ALGEBRAIC(:,4))<0.000100000, 120.000 }, ( 12.0000.*ALGEBRAIC(:,4))./(exp(ALGEBRAIC(:,4)./10.0000) - 1.00000));
ALGEBRAIC(:,12) = exp( 0.0800000.*(STATES(:,1) - 40.0000));
ALGEBRAIC(:,16) = power(STATES(:,8)./(STATES(:,8)+0.000500000), 2.00000);
ALGEBRAIC(:,18) = 600.000.*ALGEBRAIC(:,12)+ 500.000.*ALGEBRAIC(:,16);
ALGEBRAIC(:,20) = 60.0000+ 500.000.*ALGEBRAIC(:,16);
ALGEBRAIC(:,6) = (1.00000 - STATES(:,12)) - STATES(:,13);
ALGEBRAIC(:,29) = STATES(:,1)+34.0000;
ALGEBRAIC(:,30) = piecewise({abs(ALGEBRAIC(:,29))<0.000100000, 25.0000 }, ( 6.25000.*ALGEBRAIC(:,29))./(exp(ALGEBRAIC(:,29)./4.00000) - 1.00000));
ALGEBRAIC(:,31) = 12.0000./(1.00000+exp( - ALGEBRAIC(:,29)./4.00000));
ALGEBRAIC(:,32) = STATES(:,8)./(0.00100000+STATES(:,8));
ALGEBRAIC(:,17) = CONSTANTS(:,50).*log(CONSTANTS(:,12)./STATES(:,3));
ALGEBRAIC(:,27) = CONSTANTS(:,26).*(STATES(:,1) - ALGEBRAIC(:,17));
ALGEBRAIC(:,28) = ( (( CONSTANTS(:,27).*CONSTANTS(:,12))./(CONSTANTS(:,12)+CONSTANTS(:,28))).*(STATES(:,1) - ALGEBRAIC(:,17)))./(1.00000+exp(( ((STATES(:,1) - ALGEBRAIC(:,17)) - 10.0000).*2.00000)./CONSTANTS(:,50)));
ALGEBRAIC(:,19) = CONSTANTS(:,14).*(CONSTANTS(:,15)+ STATES(:,7).*(1.00000 - CONSTANTS(:,15))).*STATES(:,6).*(STATES(:,1) - ALGEBRAIC(:,17));
ALGEBRAIC(:,21) = ( (( CONSTANTS(:,16).*CONSTANTS(:,12))./(CONSTANTS(:,17)+CONSTANTS(:,12))).*STATES(:,2))./(CONSTANTS(:,18)+STATES(:,2));
ALGEBRAIC(:,33) = (1.00000 - STATES(:,10)).*(1.00000 - ALGEBRAIC(:,32));
ALGEBRAIC(:,35) = ((( 0.00200000.*CONSTANTS(:,29).*STATES(:,9).*ALGEBRAIC(:,33).*(STATES(:,1) - 50.0000))./CONSTANTS(:,50))./(1.00000 - exp( - (STATES(:,1) - 50.0000)./CONSTANTS(:,50)))).*( STATES(:,3).*exp(50.0000./CONSTANTS(:,50)) - CONSTANTS(:,12).*exp( - (STATES(:,1) - 50.0000)./CONSTANTS(:,50)));
ALGEBRAIC(:,22) = CONSTANTS(:,50).*log(CONSTANTS(:,11)./STATES(:,2));
ALGEBRAIC(:,23) = CONSTANTS(:,19).*(STATES(:,1) - ALGEBRAIC(:,22));
ALGEBRAIC(:,26) = ( CONSTANTS(:,22).*( exp(( CONSTANTS(:,25).*(CONSTANTS(:,23) - 2.00000).*STATES(:,1))./CONSTANTS(:,50)).*power(STATES(:,2), CONSTANTS(:,23)).*CONSTANTS(:,21) - exp(( (CONSTANTS(:,25) - 1.00000).*(CONSTANTS(:,23) - 2.00000).*STATES(:,1))./CONSTANTS(:,50)).*power(CONSTANTS(:,11), CONSTANTS(:,23)).*STATES(:,8)))./( (1.00000+ CONSTANTS(:,24).*( STATES(:,8).*power(CONSTANTS(:,11), CONSTANTS(:,23))+ CONSTANTS(:,21).*power(STATES(:,2), CONSTANTS(:,23)))).*(1.00000+STATES(:,8)./0.00690000));
ALGEBRAIC(:,11) = CONSTANTS(:,50).*log((CONSTANTS(:,11)+ 0.120000.*CONSTANTS(:,12))./(STATES(:,2)+ 0.120000.*STATES(:,3)));
ALGEBRAIC(:,15) = CONSTANTS(:,10).*power(STATES(:,4), 3.00000).*STATES(:,5).*(STATES(:,1) - ALGEBRAIC(:,11));
ALGEBRAIC(:,37) = ((( 0.0100000.*CONSTANTS(:,29).*STATES(:,9).*ALGEBRAIC(:,33).*(STATES(:,1) - 50.0000))./CONSTANTS(:,50))./(1.00000 - exp( - (STATES(:,1) - 50.0000)./CONSTANTS(:,50)))).*( STATES(:,2).*exp(50.0000./CONSTANTS(:,50)) - CONSTANTS(:,11).*exp( - (STATES(:,1) - 50.0000)./CONSTANTS(:,50)));
ALGEBRAIC(:,24) = 0.500000.*CONSTANTS(:,50).*log(CONSTANTS(:,21)./STATES(:,8));
ALGEBRAIC(:,25) = CONSTANTS(:,20).*(STATES(:,1) - ALGEBRAIC(:,24));
ALGEBRAIC(:,34) = ((( 4.00000.*CONSTANTS(:,29).*STATES(:,9).*ALGEBRAIC(:,33).*(STATES(:,1) - 50.0000))./CONSTANTS(:,50))./(1.00000 - exp(( - (STATES(:,1) - 50.0000).*2.00000)./CONSTANTS(:,50)))).*( STATES(:,8).*exp(100.000./CONSTANTS(:,50)) - CONSTANTS(:,21).*exp(( - (STATES(:,1) - 50.0000).*2.00000)./CONSTANTS(:,50)));
ALGEBRAIC(:,39) = ALGEBRAIC(:,34)+ALGEBRAIC(:,35)+ALGEBRAIC(:,37);
ALGEBRAIC(:,5) = 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(:,36) = STATES(:,8)+ STATES(:,11).*CONSTANTS(:,52)+ CONSTANTS(:,30).*CONSTANTS(:,31)+CONSTANTS(:,30);
ALGEBRAIC(:,38) = (STATES(:,8)./ALGEBRAIC(:,36)).*CONSTANTS(:,33) - (( STATES(:,11).*CONSTANTS(:,52))./ALGEBRAIC(:,36)).*CONSTANTS(:,34);
ALGEBRAIC(:,41) = (STATES(:,11) - STATES(:,14)).*CONSTANTS(:,38);
ALGEBRAIC(:,40) = ( power(STATES(:,12)./(STATES(:,12)+0.250000), 2.00000).*CONSTANTS(:,36)+CONSTANTS(:,35)).*STATES(:,14);
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