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 17 entries in each of the rate and state variable arrays.
% There are a total of 57 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('Cm in component membrane (microF)');
LEGEND_ALGEBRAIC(:,28) = strpad('i_K1 in component time_independent_potassium_current (nanoA)');
LEGEND_ALGEBRAIC(:,39) = strpad('i_to in component transient_outward_current (nanoA)');
LEGEND_ALGEBRAIC(:,30) = strpad('i_K in component time_dependent_potassium_current (nanoA)');
LEGEND_ALGEBRAIC(:,35) = strpad('i_Ca_L_K in component L_type_Ca_channel (nanoA)');
LEGEND_ALGEBRAIC(:,31) = strpad('i_b_K in component potassium_background_current (nanoA)');
LEGEND_ALGEBRAIC(:,40) = strpad('i_NaK in component sodium_potassium_pump (nanoA)');
LEGEND_ALGEBRAIC(:,32) = strpad('i_Na in component fast_sodium_current (nanoA)');
LEGEND_ALGEBRAIC(:,33) = strpad('i_b_Na in component sodium_background_current (nanoA)');
LEGEND_ALGEBRAIC(:,36) = strpad('i_Ca_L_Na in component L_type_Ca_channel (nanoA)');
LEGEND_ALGEBRAIC(:,41) = strpad('i_NaCa in component sodium_calcium_exchanger (nanoA)');
LEGEND_ALGEBRAIC(:,34) = strpad('i_Ca_L_Ca in component L_type_Ca_channel (nanoA)');
LEGEND_ALGEBRAIC(:,38) = strpad('i_b_Ca in component calcium_background_current (nanoA)');
LEGEND_ALGEBRAIC(:,7) = 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_ALGEBRAIC(:,16) = strpad('E_Na in component reversal_potentials (millivolt)');
LEGEND_ALGEBRAIC(:,22) = strpad('E_K in component reversal_potentials (millivolt)');
LEGEND_ALGEBRAIC(:,25) = strpad('E_Ca in component reversal_potentials (millivolt)');
LEGEND_ALGEBRAIC(:,27) = strpad('E_mh in component reversal_potentials (millivolt)');
LEGEND_CONSTANTS(:,10) = strpad('K_o in component extracellular_potassium_concentration (millimolar)');
LEGEND_CONSTANTS(:,11) = strpad('Na_o in component extracellular_sodium_concentration (millimolar)');
LEGEND_STATES(:,2) = strpad('K_i in component intracellular_potassium_concentration (millimolar)');
LEGEND_STATES(:,3) = strpad('Na_i in component intracellular_sodium_concentration (millimolar)');
LEGEND_CONSTANTS(:,12) = strpad('Ca_o in component extracellular_calcium_concentration (millimolar)');
LEGEND_STATES(:,4) = strpad('Ca_i in component intracellular_calcium_concentration (millimolar)');
LEGEND_CONSTANTS(:,13) = strpad('K_mk1 in component time_independent_potassium_current (millimolar)');
LEGEND_CONSTANTS(:,14) = strpad('g_K1 in component time_independent_potassium_current (microS)');
LEGEND_ALGEBRAIC(:,29) = strpad('I_K in component time_dependent_potassium_current (nanoA)');
LEGEND_CONSTANTS(:,15) = 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(:,1) = strpad('E0xa in component time_dependent_potassium_current_x_gate (millivolt)');
LEGEND_ALGEBRAIC(:,18) = strpad('E0xb in component time_dependent_potassium_current_x_gate (millivolt)');
LEGEND_ALGEBRAIC(:,10) = strpad('alpha_x in component time_dependent_potassium_current_x_gate (per_second)');
LEGEND_ALGEBRAIC(:,24) = strpad('beta_x in component time_dependent_potassium_current_x_gate (per_second)');
LEGEND_CONSTANTS(:,16) = strpad('g_bk in component potassium_background_current (microS)');
LEGEND_CONSTANTS(:,17) = strpad('g_Na in component fast_sodium_current (microS)');
LEGEND_STATES(:,6) = strpad('m in component fast_sodium_current_m_gate (dimensionless)');
LEGEND_STATES(:,7) = strpad('h in component fast_sodium_current_h_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,11) = strpad('alpha_m in component fast_sodium_current_m_gate (per_second)');
LEGEND_ALGEBRAIC(:,19) = strpad('beta_m in component fast_sodium_current_m_gate (per_second)');
LEGEND_CONSTANTS(:,18) = strpad('delta_m in component fast_sodium_current_m_gate (millivolt)');
LEGEND_ALGEBRAIC(:,2) = strpad('E0_m in component fast_sodium_current_m_gate (millivolt)');
LEGEND_ALGEBRAIC(:,3) = strpad('alpha_h in component fast_sodium_current_h_gate (per_second)');
LEGEND_ALGEBRAIC(:,12) = strpad('beta_h in component fast_sodium_current_h_gate (per_second)');
LEGEND_CONSTANTS(:,19) = strpad('g_bna in component sodium_background_current (microS)');
LEGEND_ALGEBRAIC(:,37) = strpad('i_Ca_L in component L_type_Ca_channel (nanoA)');
LEGEND_CONSTANTS(:,20) = strpad('P_Ca_L in component L_type_Ca_channel (nanoA_per_millimolar)');
LEGEND_CONSTANTS(:,21) = strpad('P_CaK in component L_type_Ca_channel (dimensionless)');
LEGEND_CONSTANTS(:,22) = strpad('P_CaNa in component L_type_Ca_channel (dimensionless)');
LEGEND_STATES(:,8) = strpad('d in component L_type_Ca_channel_d_gate (dimensionless)');
LEGEND_STATES(:,9) = strpad('f in component L_type_Ca_channel_f_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,13) = strpad('alpha_d in component L_type_Ca_channel_d_gate (per_second)');
LEGEND_ALGEBRAIC(:,20) = strpad('beta_d in component L_type_Ca_channel_d_gate (per_second)');
LEGEND_ALGEBRAIC(:,4) = strpad('E0_d in component L_type_Ca_channel_d_gate (millivolt)');
LEGEND_CONSTANTS(:,23) = strpad('speed_d in component L_type_Ca_channel_d_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,14) = strpad('alpha_f in component L_type_Ca_channel_f_gate (per_second)');
LEGEND_ALGEBRAIC(:,21) = strpad('beta_f in component L_type_Ca_channel_f_gate (per_second)');
LEGEND_CONSTANTS(:,24) = strpad('speed_f in component L_type_Ca_channel_f_gate (dimensionless)');
LEGEND_CONSTANTS(:,25) = strpad('delta_f in component L_type_Ca_channel_f_gate (millivolt)');
LEGEND_ALGEBRAIC(:,5) = strpad('E0_f in component L_type_Ca_channel_f_gate (millivolt)');
LEGEND_CONSTANTS(:,26) = strpad('g_bca in component calcium_background_current (microS)');
LEGEND_CONSTANTS(:,27) = strpad('g_to in component transient_outward_current (microS)');
LEGEND_CONSTANTS(:,28) = strpad('g_tos in component transient_outward_current (dimensionless)');
LEGEND_STATES(:,10) = strpad('s in component transient_outward_current_s_gate (dimensionless)');
LEGEND_STATES(:,11) = strpad('r in component transient_outward_current_r_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,6) = strpad('alpha_s in component transient_outward_current_s_gate (per_second)');
LEGEND_ALGEBRAIC(:,15) = strpad('beta_s in component transient_outward_current_s_gate (per_second)');
LEGEND_CONSTANTS(:,29) = strpad('i_NaK_max in component sodium_potassium_pump (nanoA)');
LEGEND_CONSTANTS(:,30) = strpad('K_mK in component sodium_potassium_pump (millimolar)');
LEGEND_CONSTANTS(:,31) = strpad('K_mNa in component sodium_potassium_pump (millimolar)');
LEGEND_CONSTANTS(:,32) = strpad('k_NaCa in component sodium_calcium_exchanger (nanoA)');
LEGEND_CONSTANTS(:,33) = strpad('n_NaCa in component sodium_calcium_exchanger (dimensionless)');
LEGEND_CONSTANTS(:,34) = strpad('d_NaCa in component sodium_calcium_exchanger (dimensionless)');
LEGEND_CONSTANTS(:,35) = strpad('gamma in component sodium_calcium_exchanger (dimensionless)');
LEGEND_ALGEBRAIC(:,43) = strpad('i_up in component sarcoplasmic_reticulum_calcium_pump (millimolar_per_second)');
LEGEND_CONSTANTS(:,55) = strpad('K_1 in component sarcoplasmic_reticulum_calcium_pump (dimensionless)');
LEGEND_ALGEBRAIC(:,42) = strpad('K_2 in component sarcoplasmic_reticulum_calcium_pump (millimolar)');
LEGEND_CONSTANTS(:,36) = strpad('K_cyca in component sarcoplasmic_reticulum_calcium_pump (millimolar)');
LEGEND_CONSTANTS(:,37) = strpad('K_xcs in component sarcoplasmic_reticulum_calcium_pump (dimensionless)');
LEGEND_CONSTANTS(:,38) = strpad('K_srca in component sarcoplasmic_reticulum_calcium_pump (millimolar)');
LEGEND_CONSTANTS(:,39) = strpad('alpha_up in component sarcoplasmic_reticulum_calcium_pump (millimolar_per_second)');
LEGEND_CONSTANTS(:,40) = strpad('beta_up in component sarcoplasmic_reticulum_calcium_pump (millimolar_per_second)');
LEGEND_STATES(:,12) = strpad('Ca_up in component intracellular_calcium_concentration (millimolar)');
LEGEND_ALGEBRAIC(:,44) = strpad('i_trans in component calcium_translocation (millimolar_per_second)');
LEGEND_STATES(:,13) = strpad('Ca_rel in component intracellular_calcium_concentration (millimolar)');
LEGEND_ALGEBRAIC(:,45) = strpad('i_rel in component calcium_release (millimolar_per_second)');
LEGEND_ALGEBRAIC(:,8) = strpad('VoltDep in component calcium_release (dimensionless)');
LEGEND_ALGEBRAIC(:,9) = strpad('RegBindSite in component calcium_release (dimensionless)');
LEGEND_ALGEBRAIC(:,17) = strpad('ActRate in component calcium_release (per_second)');
LEGEND_ALGEBRAIC(:,23) = strpad('InactRate in component calcium_release (per_second)');
LEGEND_CONSTANTS(:,41) = strpad('K_leak_rate in component calcium_release (per_second)');
LEGEND_CONSTANTS(:,42) = strpad('K_m_rel in component calcium_release (per_second)');
LEGEND_ALGEBRAIC(:,26) = strpad('PrecFrac in component calcium_release (dimensionless)');
LEGEND_STATES(:,14) = strpad('ActFrac in component calcium_release (dimensionless)');
LEGEND_STATES(:,15) = strpad('ProdFrac in component calcium_release (dimensionless)');
LEGEND_CONSTANTS(:,57) = strpad('V_i in component intracellular_calcium_concentration (micrometre3)');
LEGEND_STATES(:,16) = strpad('Ca_Calmod in component intracellular_calcium_concentration (millimolar)');
LEGEND_STATES(:,17) = strpad('Ca_Trop in component intracellular_calcium_concentration (millimolar)');
LEGEND_CONSTANTS(:,43) = strpad('Calmod in component intracellular_calcium_concentration (millimolar)');
LEGEND_CONSTANTS(:,44) = strpad('Trop in component intracellular_calcium_concentration (millimolar)');
LEGEND_CONSTANTS(:,45) = strpad('alpha_Calmod in component intracellular_calcium_concentration (per_millimolar_second)');
LEGEND_CONSTANTS(:,46) = strpad('beta_Calmod in component intracellular_calcium_concentration (per_second)');
LEGEND_CONSTANTS(:,47) = strpad('alpha_Trop in component intracellular_calcium_concentration (per_millimolar_second)');
LEGEND_CONSTANTS(:,48) = strpad('beta_Trop in component intracellular_calcium_concentration (per_second)');
LEGEND_CONSTANTS(:,49) = strpad('radius in component intracellular_calcium_concentration (micrometre)');
LEGEND_CONSTANTS(:,50) = strpad('length in component intracellular_calcium_concentration (micrometre)');
LEGEND_CONSTANTS(:,54) = strpad('V_Cell in component intracellular_calcium_concentration (micrometre3)');
LEGEND_CONSTANTS(:,56) = strpad('V_i_ratio in component intracellular_calcium_concentration (dimensionless)');
LEGEND_CONSTANTS(:,51) = strpad('V_rel_ratio in component intracellular_calcium_concentration (dimensionless)');
LEGEND_CONSTANTS(:,52) = strpad('V_e_ratio in component intracellular_calcium_concentration (dimensionless)');
LEGEND_CONSTANTS(:,53) = strpad('V_up_ratio in component intracellular_calcium_concentration (dimensionless)');
LEGEND_RATES(:,1) = strpad('d/dt V in component membrane (millivolt)');
LEGEND_RATES(:,5) = strpad('d/dt x in component time_dependent_potassium_current_x_gate (dimensionless)');
LEGEND_RATES(:,6) = strpad('d/dt m in component fast_sodium_current_m_gate (dimensionless)');
LEGEND_RATES(:,7) = strpad('d/dt h in component fast_sodium_current_h_gate (dimensionless)');
LEGEND_RATES(:,8) = strpad('d/dt d in component L_type_Ca_channel_d_gate (dimensionless)');
LEGEND_RATES(:,9) = strpad('d/dt f in component L_type_Ca_channel_f_gate (dimensionless)');
LEGEND_RATES(:,10) = strpad('d/dt s in component transient_outward_current_s_gate (dimensionless)');
LEGEND_RATES(:,11) = strpad('d/dt r in component transient_outward_current_r_gate (dimensionless)');
LEGEND_RATES(:,14) = strpad('d/dt ActFrac in component calcium_release (dimensionless)');
LEGEND_RATES(:,15) = strpad('d/dt ProdFrac in component calcium_release (dimensionless)');
LEGEND_RATES(:,3) = strpad('d/dt Na_i in component intracellular_sodium_concentration (millimolar)');
LEGEND_RATES(:,2) = strpad('d/dt K_i in component intracellular_potassium_concentration (millimolar)');
LEGEND_RATES(:,4) = strpad('d/dt Ca_i in component intracellular_calcium_concentration (millimolar)');
LEGEND_RATES(:,16) = strpad('d/dt Ca_Calmod in component intracellular_calcium_concentration (millimolar)');
LEGEND_RATES(:,17) = strpad('d/dt Ca_Trop in component intracellular_calcium_concentration (millimolar)');
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_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) = -93;
CONSTANTS(:,1) = 8314.472;
CONSTANTS(:,2) = 310;
CONSTANTS(:,3) = 96485.3415;
CONSTANTS(:,4) = 9.5e-5;
CONSTANTS(:,5) = 0.1;
CONSTANTS(:,6) = 10000;
CONSTANTS(:,7) = 1;
CONSTANTS(:,8) = 0.002;
CONSTANTS(:,9) = -6;
CONSTANTS(:,10) = 4;
CONSTANTS(:,11) = 140;
STATES(:,2) = 140;
STATES(:,3) = 5;
CONSTANTS(:,12) = 2;
STATES(:,4) = 7.63e-6;
CONSTANTS(:,13) = 10;
CONSTANTS(:,14) = 1;
CONSTANTS(:,15) = 1;
STATES(:,5) = 0.001;
CONSTANTS(:,16) = 0.0006;
CONSTANTS(:,17) = 2.5;
STATES(:,6) = 0.000105;
STATES(:,7) = 0.99816539;
CONSTANTS(:,18) = 1e-5;
CONSTANTS(:,19) = 0.0006;
CONSTANTS(:,20) = 0.25;
CONSTANTS(:,21) = 0.002;
CONSTANTS(:,22) = 0.01;
STATES(:,8) = 0;
STATES(:,9) = 1;
CONSTANTS(:,23) = 3;
CONSTANTS(:,24) = 0.5;
CONSTANTS(:,25) = 0.0001;
CONSTANTS(:,26) = 0.00025;
CONSTANTS(:,27) = 0.005;
CONSTANTS(:,28) = 0;
STATES(:,10) = 1;
STATES(:,11) = 0;
CONSTANTS(:,29) = 0.7;
CONSTANTS(:,30) = 1;
CONSTANTS(:,31) = 40;
CONSTANTS(:,32) = 0.0005;
CONSTANTS(:,33) = 3;
CONSTANTS(:,34) = 0;
CONSTANTS(:,35) = 0.5;
CONSTANTS(:,36) = 0.0003;
CONSTANTS(:,37) = 0.4;
CONSTANTS(:,38) = 0.5;
CONSTANTS(:,39) = 0.4;
CONSTANTS(:,40) = 0.03;
STATES(:,12) = 0.3013;
STATES(:,13) = 0.2989;
CONSTANTS(:,41) = 0;
CONSTANTS(:,42) = 250;
STATES(:,14) = 0;
STATES(:,15) = 0;
STATES(:,16) = 0.0003;
STATES(:,17) = 0.0002;
CONSTANTS(:,43) = 0.02;
CONSTANTS(:,44) = 0.05;
CONSTANTS(:,45) = 100000;
CONSTANTS(:,46) = 50;
CONSTANTS(:,47) = 100000;
CONSTANTS(:,48) = 200;
CONSTANTS(:,49) = 0.012;
CONSTANTS(:,50) = 0.074;
CONSTANTS(:,51) = 0.1;
CONSTANTS(:,52) = 0.4;
CONSTANTS(:,53) = 0.01;
CONSTANTS(:,54) = 3.14159.*power(CONSTANTS(:,49), 2.00000).*CONSTANTS(:,50);
CONSTANTS(:,55) = ( CONSTANTS(:,36).*CONSTANTS(:,37))./CONSTANTS(:,38);
CONSTANTS(:,56) = ((1.00000 - CONSTANTS(:,52)) - CONSTANTS(:,53)) - CONSTANTS(:,51);
CONSTANTS(:,57) = CONSTANTS(:,54).*CONSTANTS(:,56);
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(:,11) = 333.000.*(1.00000./(1.00000+exp( - (STATES(:,1)+4.00000)./5.00000)) - STATES(:,11));
ALGEBRAIC(:,3) = 20.0000.*exp( - 0.125000.*(STATES(:,1)+75.0000));
ALGEBRAIC(:,12) = 2000.00./(1.00000+ 320.000.*exp( - 0.100000.*(STATES(:,1)+75.0000)));
RATES(:,7) = ALGEBRAIC(:,3).*(1.00000 - STATES(:,7)) - ALGEBRAIC(:,12).*STATES(:,7);
ALGEBRAIC(:,6) = 0.0330000.*exp( - STATES(:,1)./17.0000);
ALGEBRAIC(:,15) = 33.0000./(1.00000+exp( - 0.125000.*(STATES(:,1)+10.0000)));
RATES(:,10) = ALGEBRAIC(:,6).*(1.00000 - STATES(:,10)) - ALGEBRAIC(:,15).*STATES(:,10);
ALGEBRAIC(:,2) = STATES(:,1)+41.0000;
ALGEBRAIC(:,11) = piecewise({abs(ALGEBRAIC(:,2))<CONSTANTS(:,18), 2000.00 }, ( 200.000.*ALGEBRAIC(:,2))./(1.00000 - exp( - 0.100000.*ALGEBRAIC(:,2))));
ALGEBRAIC(:,19) = 8000.00.*exp( - 0.0560000.*(STATES(:,1)+66.0000));
RATES(:,6) = ALGEBRAIC(:,11).*(1.00000 - STATES(:,6)) - ALGEBRAIC(:,19).*STATES(:,6);
ALGEBRAIC(:,4) = (STATES(:,1)+24.0000) - 5.00000;
ALGEBRAIC(:,13) = piecewise({abs(ALGEBRAIC(:,4))<0.000100000, 120.000 }, ( 30.0000.*ALGEBRAIC(:,4))./(1.00000 - exp( - ALGEBRAIC(:,4)./4.00000)));
ALGEBRAIC(:,20) = piecewise({abs(ALGEBRAIC(:,4))<0.000100000, 120.000 }, ( 12.0000.*ALGEBRAIC(:,4))./(exp(ALGEBRAIC(:,4)./10.0000) - 1.00000));
RATES(:,8) = CONSTANTS(:,23).*( ALGEBRAIC(:,13).*(1.00000 - STATES(:,8)) - ALGEBRAIC(:,20).*STATES(:,8));
ALGEBRAIC(:,5) = STATES(:,1)+34.0000;
ALGEBRAIC(:,14) = piecewise({abs(ALGEBRAIC(:,5))<CONSTANTS(:,25), 25.0000 }, ( 6.25000.*ALGEBRAIC(:,5))./(exp(ALGEBRAIC(:,5)./4.00000) - 1.00000));
ALGEBRAIC(:,21) = 50.0000./(1.00000+exp(( - 1.00000.*(STATES(:,1)+34.0000))./4.00000));
RATES(:,9) = CONSTANTS(:,24).*( ALGEBRAIC(:,14).*(1.00000 - STATES(:,9)) - ALGEBRAIC(:,21).*STATES(:,9));
ALGEBRAIC(:,9) = power(STATES(:,4)./(STATES(:,4)+0.000500000), 2.00000);
ALGEBRAIC(:,23) = 60.0000+ 500.000.*ALGEBRAIC(:,9);
RATES(:,15) = STATES(:,14).*ALGEBRAIC(:,23) - 1.00000.*STATES(:,15);
ALGEBRAIC(:,1) = STATES(:,1)+50.0000;
ALGEBRAIC(:,10) = ( 0.500000.*exp( 0.0826000.*ALGEBRAIC(:,1)))./(1.00000+exp( 0.0570000.*ALGEBRAIC(:,1)));
ALGEBRAIC(:,18) = STATES(:,1)+20.0000;
ALGEBRAIC(:,24) = ( 1.30000.*exp( - 0.0600000.*ALGEBRAIC(:,18)))./(1.00000+exp( - 0.0400000.*ALGEBRAIC(:,18)));
RATES(:,5) = ALGEBRAIC(:,10).*(1.00000 - STATES(:,5)) - ALGEBRAIC(:,24).*STATES(:,5);
ALGEBRAIC(:,17) = 500.000.*ALGEBRAIC(:,9);
ALGEBRAIC(:,26) = (1.00000 - STATES(:,14)) - STATES(:,15);
RATES(:,14) = ALGEBRAIC(:,26).*ALGEBRAIC(:,17) - STATES(:,14).*ALGEBRAIC(:,23);
ALGEBRAIC(:,22) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,10)./STATES(:,2));
ALGEBRAIC(:,28) = ( (( CONSTANTS(:,14).*CONSTANTS(:,10))./(CONSTANTS(:,10)+CONSTANTS(:,13))).*(STATES(:,1) - ALGEBRAIC(:,22)))./(1.00000+exp(( ((STATES(:,1) - ALGEBRAIC(:,22)) - 10.0000).*CONSTANTS(:,3).*2.00000)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,39) = CONSTANTS(:,27).*(CONSTANTS(:,28)+ STATES(:,10).*(1.00000 - CONSTANTS(:,28))).*STATES(:,11).*(STATES(:,1) - ALGEBRAIC(:,22));
ALGEBRAIC(:,29) = ( CONSTANTS(:,15).*(STATES(:,2) - CONSTANTS(:,10).*exp(( - STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))))./140.000;
ALGEBRAIC(:,30) = STATES(:,5).*ALGEBRAIC(:,29);
ALGEBRAIC(:,35) = ((( CONSTANTS(:,21).*CONSTANTS(:,20).*STATES(:,8).*STATES(:,9).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,2).*exp(( 50.0000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,10).*exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,31) = CONSTANTS(:,16).*(STATES(:,1) - ALGEBRAIC(:,22));
ALGEBRAIC(:,40) = ( (( CONSTANTS(:,29).*CONSTANTS(:,10))./(CONSTANTS(:,30)+CONSTANTS(:,10))).*STATES(:,3))./(CONSTANTS(:,31)+STATES(:,3));
RATES(:,2) = ( - 1.00000./( 1.00000.*CONSTANTS(:,57).*CONSTANTS(:,3))).*((ALGEBRAIC(:,28)+ALGEBRAIC(:,30)+ALGEBRAIC(:,35)+ALGEBRAIC(:,39)+ALGEBRAIC(:,31)) - 2.00000.*ALGEBRAIC(:,40));
ALGEBRAIC(:,27) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log((CONSTANTS(:,11)+ 0.120000.*CONSTANTS(:,10))./(STATES(:,3)+ 0.120000.*STATES(:,2)));
ALGEBRAIC(:,32) = CONSTANTS(:,17).*power(STATES(:,6), 3.00000).*STATES(:,7).*(STATES(:,1) - ALGEBRAIC(:,27));
ALGEBRAIC(:,16) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,11)./STATES(:,3));
ALGEBRAIC(:,33) = CONSTANTS(:,19).*(STATES(:,1) - ALGEBRAIC(:,16));
ALGEBRAIC(:,36) = ((( CONSTANTS(:,22).*CONSTANTS(:,20).*STATES(:,8).*STATES(:,9).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,3).*exp(( 50.0000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,11).*exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,41) = ( CONSTANTS(:,32).*( exp(( CONSTANTS(:,35).*(CONSTANTS(:,33) - 2.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(STATES(:,3), CONSTANTS(:,33)).*CONSTANTS(:,12) - exp(( (CONSTANTS(:,35) - 1.00000).*(CONSTANTS(:,33) - 2.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(CONSTANTS(:,11), CONSTANTS(:,33)).*STATES(:,4)))./( (1.00000+ CONSTANTS(:,34).*( STATES(:,4).*power(CONSTANTS(:,11), CONSTANTS(:,33))+ CONSTANTS(:,12).*power(STATES(:,3), CONSTANTS(:,33)))).*(1.00000+STATES(:,4)./0.00690000));
ALGEBRAIC(:,34) = ((( 4.00000.*CONSTANTS(:,20).*STATES(:,8).*STATES(:,9).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3).*2.00000)./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,4).*exp(( 100.000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,12).*exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3).*2.00000)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,25) = (( 0.500000.*CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,12)./STATES(:,4));
ALGEBRAIC(:,38) = CONSTANTS(:,26).*(STATES(:,1) - ALGEBRAIC(:,25));
ALGEBRAIC(:,7) = 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(:,7)+ALGEBRAIC(:,28)+ALGEBRAIC(:,39)+ALGEBRAIC(:,30)+ALGEBRAIC(:,31)+ALGEBRAIC(:,40)+ALGEBRAIC(:,32)+ALGEBRAIC(:,33)+ALGEBRAIC(:,36)+ALGEBRAIC(:,41)+ALGEBRAIC(:,34)+ALGEBRAIC(:,35)+ALGEBRAIC(:,38));
RATES(:,3) = ( - 1.00000./( 1.00000.*CONSTANTS(:,57).*CONSTANTS(:,3))).*(ALGEBRAIC(:,32)+ALGEBRAIC(:,33)+ 3.00000.*ALGEBRAIC(:,40)+ 3.00000.*ALGEBRAIC(:,41)+ALGEBRAIC(:,36));
ALGEBRAIC(:,42) = STATES(:,4)+ STATES(:,12).*CONSTANTS(:,55)+ CONSTANTS(:,36).*CONSTANTS(:,37)+CONSTANTS(:,36);
ALGEBRAIC(:,43) = (STATES(:,4)./ALGEBRAIC(:,42)).*CONSTANTS(:,39) - (( STATES(:,12).*CONSTANTS(:,55))./ALGEBRAIC(:,42)).*CONSTANTS(:,40);
ALGEBRAIC(:,44) = 50.0000.*(STATES(:,12) - STATES(:,13));
RATES(:,12) = (CONSTANTS(:,56)./CONSTANTS(:,53)).*ALGEBRAIC(:,43) - ALGEBRAIC(:,44);
RATES(:,16) = CONSTANTS(:,45).*STATES(:,4).*(CONSTANTS(:,43) - STATES(:,16)) - CONSTANTS(:,46).*STATES(:,16);
ALGEBRAIC(:,45) = ( power(STATES(:,14)./(STATES(:,14)+0.250000), 2.00000).*CONSTANTS(:,42)+CONSTANTS(:,41)).*STATES(:,13);
RATES(:,13) = (CONSTANTS(:,53)./CONSTANTS(:,51)).*ALGEBRAIC(:,44) - ALGEBRAIC(:,45);
RATES(:,17) = CONSTANTS(:,47).*STATES(:,4).*(CONSTANTS(:,44) - STATES(:,17)) - CONSTANTS(:,48).*STATES(:,17);
RATES(:,4) = ((( ( - 1.00000./( 2.00000.*1.00000.*CONSTANTS(:,57).*CONSTANTS(:,3))).*((ALGEBRAIC(:,34)+ALGEBRAIC(:,38)) - 2.00000.*ALGEBRAIC(:,41))+( ALGEBRAIC(:,45).*CONSTANTS(:,51))./CONSTANTS(:,56)) - RATES(:,16)) - RATES(:,17)) - ALGEBRAIC(:,43);
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(:,3) = 20.0000.*exp( - 0.125000.*(STATES(:,1)+75.0000));
ALGEBRAIC(:,12) = 2000.00./(1.00000+ 320.000.*exp( - 0.100000.*(STATES(:,1)+75.0000)));
ALGEBRAIC(:,6) = 0.0330000.*exp( - STATES(:,1)./17.0000);
ALGEBRAIC(:,15) = 33.0000./(1.00000+exp( - 0.125000.*(STATES(:,1)+10.0000)));
ALGEBRAIC(:,2) = STATES(:,1)+41.0000;
ALGEBRAIC(:,11) = piecewise({abs(ALGEBRAIC(:,2))<CONSTANTS(:,18), 2000.00 }, ( 200.000.*ALGEBRAIC(:,2))./(1.00000 - exp( - 0.100000.*ALGEBRAIC(:,2))));
ALGEBRAIC(:,19) = 8000.00.*exp( - 0.0560000.*(STATES(:,1)+66.0000));
ALGEBRAIC(:,4) = (STATES(:,1)+24.0000) - 5.00000;
ALGEBRAIC(:,13) = piecewise({abs(ALGEBRAIC(:,4))<0.000100000, 120.000 }, ( 30.0000.*ALGEBRAIC(:,4))./(1.00000 - exp( - ALGEBRAIC(:,4)./4.00000)));
ALGEBRAIC(:,20) = piecewise({abs(ALGEBRAIC(:,4))<0.000100000, 120.000 }, ( 12.0000.*ALGEBRAIC(:,4))./(exp(ALGEBRAIC(:,4)./10.0000) - 1.00000));
ALGEBRAIC(:,5) = STATES(:,1)+34.0000;
ALGEBRAIC(:,14) = piecewise({abs(ALGEBRAIC(:,5))<CONSTANTS(:,25), 25.0000 }, ( 6.25000.*ALGEBRAIC(:,5))./(exp(ALGEBRAIC(:,5)./4.00000) - 1.00000));
ALGEBRAIC(:,21) = 50.0000./(1.00000+exp(( - 1.00000.*(STATES(:,1)+34.0000))./4.00000));
ALGEBRAIC(:,9) = power(STATES(:,4)./(STATES(:,4)+0.000500000), 2.00000);
ALGEBRAIC(:,23) = 60.0000+ 500.000.*ALGEBRAIC(:,9);
ALGEBRAIC(:,1) = STATES(:,1)+50.0000;
ALGEBRAIC(:,10) = ( 0.500000.*exp( 0.0826000.*ALGEBRAIC(:,1)))./(1.00000+exp( 0.0570000.*ALGEBRAIC(:,1)));
ALGEBRAIC(:,18) = STATES(:,1)+20.0000;
ALGEBRAIC(:,24) = ( 1.30000.*exp( - 0.0600000.*ALGEBRAIC(:,18)))./(1.00000+exp( - 0.0400000.*ALGEBRAIC(:,18)));
ALGEBRAIC(:,17) = 500.000.*ALGEBRAIC(:,9);
ALGEBRAIC(:,26) = (1.00000 - STATES(:,14)) - STATES(:,15);
ALGEBRAIC(:,22) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,10)./STATES(:,2));
ALGEBRAIC(:,28) = ( (( CONSTANTS(:,14).*CONSTANTS(:,10))./(CONSTANTS(:,10)+CONSTANTS(:,13))).*(STATES(:,1) - ALGEBRAIC(:,22)))./(1.00000+exp(( ((STATES(:,1) - ALGEBRAIC(:,22)) - 10.0000).*CONSTANTS(:,3).*2.00000)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,39) = CONSTANTS(:,27).*(CONSTANTS(:,28)+ STATES(:,10).*(1.00000 - CONSTANTS(:,28))).*STATES(:,11).*(STATES(:,1) - ALGEBRAIC(:,22));
ALGEBRAIC(:,29) = ( CONSTANTS(:,15).*(STATES(:,2) - CONSTANTS(:,10).*exp(( - STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))))./140.000;
ALGEBRAIC(:,30) = STATES(:,5).*ALGEBRAIC(:,29);
ALGEBRAIC(:,35) = ((( CONSTANTS(:,21).*CONSTANTS(:,20).*STATES(:,8).*STATES(:,9).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,2).*exp(( 50.0000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,10).*exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,31) = CONSTANTS(:,16).*(STATES(:,1) - ALGEBRAIC(:,22));
ALGEBRAIC(:,40) = ( (( CONSTANTS(:,29).*CONSTANTS(:,10))./(CONSTANTS(:,30)+CONSTANTS(:,10))).*STATES(:,3))./(CONSTANTS(:,31)+STATES(:,3));
ALGEBRAIC(:,27) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log((CONSTANTS(:,11)+ 0.120000.*CONSTANTS(:,10))./(STATES(:,3)+ 0.120000.*STATES(:,2)));
ALGEBRAIC(:,32) = CONSTANTS(:,17).*power(STATES(:,6), 3.00000).*STATES(:,7).*(STATES(:,1) - ALGEBRAIC(:,27));
ALGEBRAIC(:,16) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,11)./STATES(:,3));
ALGEBRAIC(:,33) = CONSTANTS(:,19).*(STATES(:,1) - ALGEBRAIC(:,16));
ALGEBRAIC(:,36) = ((( CONSTANTS(:,22).*CONSTANTS(:,20).*STATES(:,8).*STATES(:,9).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,3).*exp(( 50.0000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,11).*exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,41) = ( CONSTANTS(:,32).*( exp(( CONSTANTS(:,35).*(CONSTANTS(:,33) - 2.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(STATES(:,3), CONSTANTS(:,33)).*CONSTANTS(:,12) - exp(( (CONSTANTS(:,35) - 1.00000).*(CONSTANTS(:,33) - 2.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(CONSTANTS(:,11), CONSTANTS(:,33)).*STATES(:,4)))./( (1.00000+ CONSTANTS(:,34).*( STATES(:,4).*power(CONSTANTS(:,11), CONSTANTS(:,33))+ CONSTANTS(:,12).*power(STATES(:,3), CONSTANTS(:,33)))).*(1.00000+STATES(:,4)./0.00690000));
ALGEBRAIC(:,34) = ((( 4.00000.*CONSTANTS(:,20).*STATES(:,8).*STATES(:,9).*(STATES(:,1) - 50.0000).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))./(1.00000 - exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3).*2.00000)./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*( STATES(:,4).*exp(( 100.000.*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,12).*exp(( - (STATES(:,1) - 50.0000).*CONSTANTS(:,3).*2.00000)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,25) = (( 0.500000.*CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,12)./STATES(:,4));
ALGEBRAIC(:,38) = CONSTANTS(:,26).*(STATES(:,1) - ALGEBRAIC(:,25));
ALGEBRAIC(:,7) = 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(:,42) = STATES(:,4)+ STATES(:,12).*CONSTANTS(:,55)+ CONSTANTS(:,36).*CONSTANTS(:,37)+CONSTANTS(:,36);
ALGEBRAIC(:,43) = (STATES(:,4)./ALGEBRAIC(:,42)).*CONSTANTS(:,39) - (( STATES(:,12).*CONSTANTS(:,55))./ALGEBRAIC(:,42)).*CONSTANTS(:,40);
ALGEBRAIC(:,44) = 50.0000.*(STATES(:,12) - STATES(:,13));
ALGEBRAIC(:,45) = ( power(STATES(:,14)./(STATES(:,14)+0.250000), 2.00000).*CONSTANTS(:,42)+CONSTANTS(:,41)).*STATES(:,13);
ALGEBRAIC(:,8) = exp( 0.0800000.*(STATES(:,1) - 40.0000));
ALGEBRAIC(:,37) = ALGEBRAIC(:,34)+ALGEBRAIC(:,35)+ALGEBRAIC(:,36);
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