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 =34;
end
% There are a total of 14 entries in each of the rate and state variable arrays.
% There are a total of 51 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 Time (time_units)');
LEGEND_CONSTANTS(:,1) = strpad('Ach in component Neural_input (millimolar)');
LEGEND_CONSTANTS(:,2) = strpad('Gcouple in component Gap_junction (conductance_units)');
LEGEND_CONSTANTS(:,3) = strpad('T in component Environment (Temperature_units)');
LEGEND_CONSTANTS(:,4) = strpad('T_exp in component Environment (Temperature_units)');
LEGEND_CONSTANTS(:,5) = strpad('F in component Environment (F_units)');
LEGEND_CONSTANTS(:,6) = strpad('R in component Environment (R_units)');
LEGEND_CONSTANTS(:,7) = strpad('Q10Ca in component Environment (dimensionless)');
LEGEND_CONSTANTS(:,8) = strpad('Q10K in component Environment (dimensionless)');
LEGEND_CONSTANTS(:,9) = strpad('Q10Na in component Environment (dimensionless)');
LEGEND_CONSTANTS(:,10) = strpad('Ca_o in component Environment (millimolar)');
LEGEND_CONSTANTS(:,11) = strpad('Na_o in component Environment (millimolar)');
LEGEND_CONSTANTS(:,12) = strpad('K_o in component Environment (millimolar)');
LEGEND_CONSTANTS(:,13) = strpad('Cl_o in component Environment (millimolar)');
LEGEND_CONSTANTS(:,34) = strpad('T_correction_Na in component Environment (dimensionless)');
LEGEND_CONSTANTS(:,35) = strpad('T_correction_K in component Environment (dimensionless)');
LEGEND_CONSTANTS(:,36) = strpad('T_correction_Ca in component Environment (dimensionless)');
LEGEND_CONSTANTS(:,37) = strpad('T_correction_BK in component Environment (conductance_units)');
LEGEND_CONSTANTS(:,38) = strpad('FoRT in component Environment (Inverse_Voltage_units)');
LEGEND_CONSTANTS(:,39) = strpad('RToF in component Environment (voltage_units)');
LEGEND_CONSTANTS(:,14) = strpad('Cm_SM in component SM_Membrane (capacitance_units)');
LEGEND_CONSTANTS(:,15) = strpad('Vol_SM in component SM_Membrane (volume_units)');
LEGEND_STATES(:,1) = strpad('Vm_SM in component SM_Membrane (voltage_units)');
LEGEND_STATES(:,2) = strpad('Ca_i in component SM_Membrane (millimolar)');
LEGEND_CONSTANTS(:,16) = strpad('Na_i in component SM_Membrane (millimolar)');
LEGEND_CONSTANTS(:,17) = strpad('K_i in component SM_Membrane (millimolar)');
LEGEND_ALGEBRAIC(:,31) = strpad('I_Na_SM in component I_Na_SM (current_units)');
LEGEND_ALGEBRAIC(:,23) = strpad('I_Ltype_SM in component I_Ltype_SM (current_units)');
LEGEND_ALGEBRAIC(:,26) = strpad('I_LVA_SM in component I_LVA_SM (current_units)');
LEGEND_ALGEBRAIC(:,30) = strpad('I_kr_SM in component I_kr_SM (current_units)');
LEGEND_ALGEBRAIC(:,32) = strpad('I_ka_SM in component I_ka_SM (current_units)');
LEGEND_ALGEBRAIC(:,28) = strpad('I_BK_SM in component I_BK_SM (current_units)');
LEGEND_ALGEBRAIC(:,34) = strpad('I_NSCC_SM in component I_NSCC_SM (current_units)');
LEGEND_ALGEBRAIC(:,29) = strpad('I_bk_SM in component I_bk_SM (current_units)');
LEGEND_ALGEBRAIC(:,24) = strpad('J_CaSR_SM in component J_CaSR_SM (millimolar_per_millisecond)');
LEGEND_ALGEBRAIC(:,21) = strpad('I_stim in component I_stim (current_units)');
LEGEND_ALGEBRAIC(:,14) = strpad('local_time in component I_stim (time_units)');
LEGEND_CONSTANTS(:,18) = strpad('period in component I_stim (time_units)');
LEGEND_ALGEBRAIC(:,1) = strpad('stim_start in component I_stim (time_units)');
LEGEND_CONSTANTS(:,19) = strpad('delta_VICC in component I_stim (voltage_units)');
LEGEND_CONSTANTS(:,20) = strpad('t_ICCpeak in component I_stim (time_units)');
LEGEND_CONSTANTS(:,21) = strpad('t_ICCplateau in component I_stim (time_units)');
LEGEND_CONSTANTS(:,22) = strpad('t_ICC_stimulus in component I_stim (time_units)');
LEGEND_CONSTANTS(:,23) = strpad('V_decay in component I_stim (voltage_units)');
LEGEND_ALGEBRAIC(:,2) = strpad('d_inf_Ltype_SM in component d_Ltype_SM (dimensionless)');
LEGEND_CONSTANTS(:,41) = strpad('tau_d_Ltype_SM in component d_Ltype_SM (time_units)');
LEGEND_STATES(:,3) = strpad('d_Ltype_SM in component d_Ltype_SM (dimensionless)');
LEGEND_ALGEBRAIC(:,3) = strpad('f_inf_Ltype_SM in component f_Ltype_SM (dimensionless)');
LEGEND_CONSTANTS(:,42) = strpad('tau_f_Ltype_SM in component f_Ltype_SM (time_units)');
LEGEND_STATES(:,4) = strpad('f_Ltype_SM in component f_Ltype_SM (dimensionless)');
LEGEND_ALGEBRAIC(:,4) = strpad('f_ca_inf_Ltype_SM in component f_ca_Ltype_SM (dimensionless)');
LEGEND_CONSTANTS(:,43) = strpad('tau_f_ca_Ltype_SM in component f_ca_Ltype_SM (time_units)');
LEGEND_STATES(:,5) = strpad('f_ca_Ltype_SM in component f_ca_Ltype_SM (dimensionless)');
LEGEND_ALGEBRAIC(:,22) = strpad('E_Ca in component I_Ltype_SM (voltage_units)');
LEGEND_CONSTANTS(:,24) = strpad('G_max_Ltype in component I_Ltype_SM (conductance_units)');
LEGEND_CONSTANTS(:,25) = strpad('J_max_CaSR in component J_CaSR_SM (millimolar_per_millisecond)');
LEGEND_ALGEBRAIC(:,5) = strpad('d_inf_LVA_SM in component d_LVA_SM (dimensionless)');
LEGEND_CONSTANTS(:,44) = strpad('tau_d_LVA_SM in component d_LVA_SM (time_units)');
LEGEND_STATES(:,6) = strpad('d_LVA_SM in component d_LVA_SM (dimensionless)');
LEGEND_ALGEBRAIC(:,6) = strpad('f_inf_LVA_SM in component f_LVA_SM (dimensionless)');
LEGEND_ALGEBRAIC(:,15) = strpad('tau_f_LVA_SM in component f_LVA_SM (time_units)');
LEGEND_STATES(:,7) = strpad('f_LVA_SM in component f_LVA_SM (dimensionless)');
LEGEND_ALGEBRAIC(:,25) = strpad('E_Ca in component I_LVA_SM (voltage_units)');
LEGEND_CONSTANTS(:,26) = strpad('G_max_LVA in component I_LVA_SM (conductance_units)');
LEGEND_ALGEBRAIC(:,27) = strpad('d_BK_SM in component d_BK_SM (dimensionless)');
LEGEND_CONSTANTS(:,45) = strpad('E_K in component I_BK_SM (voltage_units)');
LEGEND_CONSTANTS(:,27) = strpad('G_max_BK in component I_BK_SM (conductance_units)');
LEGEND_CONSTANTS(:,46) = strpad('E_K in component I_bk_SM (voltage_units)');
LEGEND_CONSTANTS(:,28) = strpad('G_max_bk in component I_bk_SM (conductance_units)');
LEGEND_ALGEBRAIC(:,7) = strpad('xr1_inf_SM in component xr1_SM (dimensionless)');
LEGEND_CONSTANTS(:,47) = strpad('tau_xr1_SM in component xr1_SM (time_units)');
LEGEND_STATES(:,8) = strpad('xr1_SM in component xr1_SM (dimensionless)');
LEGEND_ALGEBRAIC(:,8) = strpad('xr2_inf_SM in component xr2_SM (dimensionless)');
LEGEND_ALGEBRAIC(:,16) = strpad('tau_xr2_SM in component xr2_SM (time_units)');
LEGEND_STATES(:,9) = strpad('xr2_SM in component xr2_SM (dimensionless)');
LEGEND_CONSTANTS(:,48) = strpad('E_K in component I_kr_SM (voltage_units)');
LEGEND_CONSTANTS(:,29) = strpad('G_max_kr_SM in component I_kr_SM (conductance_units)');
LEGEND_ALGEBRAIC(:,9) = strpad('m_inf_Na in component m_Na_SM (dimensionless)');
LEGEND_ALGEBRAIC(:,17) = strpad('tau_m_Na in component m_Na_SM (time_units)');
LEGEND_STATES(:,10) = strpad('m_Na_SM in component m_Na_SM (dimensionless)');
LEGEND_ALGEBRAIC(:,10) = strpad('h_inf_Na in component h_Na_SM (dimensionless)');
LEGEND_ALGEBRAIC(:,18) = strpad('tau_h_Na in component h_Na_SM (time_units)');
LEGEND_STATES(:,11) = strpad('h_Na_SM in component h_Na_SM (dimensionless)');
LEGEND_CONSTANTS(:,49) = strpad('E_Na in component I_Na_SM (voltage_units)');
LEGEND_CONSTANTS(:,30) = strpad('G_max_Na_SM in component I_Na_SM (conductance_units)');
LEGEND_ALGEBRAIC(:,11) = strpad('xa1_inf_SM in component xa1_SM (dimensionless)');
LEGEND_ALGEBRAIC(:,19) = strpad('tau_xa1_SM in component xa1_SM (time_units)');
LEGEND_STATES(:,12) = strpad('xa1_SM in component xa1_SM (dimensionless)');
LEGEND_ALGEBRAIC(:,12) = strpad('xa2_inf_SM in component xa2_SM (dimensionless)');
LEGEND_CONSTANTS(:,50) = strpad('tau_xa2_SM in component xa2_SM (time_units)');
LEGEND_STATES(:,13) = strpad('xa2_SM in component xa2_SM (dimensionless)');
LEGEND_CONSTANTS(:,51) = strpad('E_K in component I_ka_SM (voltage_units)');
LEGEND_CONSTANTS(:,31) = strpad('G_max_ka_SM in component I_ka_SM (conductance_units)');
LEGEND_ALGEBRAIC(:,13) = strpad('m_inf_NSCC_SM in component m_NSCC_SM (dimensionless)');
LEGEND_ALGEBRAIC(:,20) = strpad('tau_m_NSCC_SM in component m_NSCC_SM (time_units)');
LEGEND_STATES(:,14) = strpad('m_NSCC_SM in component m_NSCC_SM (dimensionless)');
LEGEND_CONSTANTS(:,32) = strpad('E_NSCC in component I_NSCC_SM (voltage_units)');
LEGEND_CONSTANTS(:,33) = strpad('G_max_NSCC_SM in component I_NSCC_SM (conductance_units)');
LEGEND_ALGEBRAIC(:,33) = strpad('f_ca_NSCC_SM in component I_NSCC_SM (dimensionless)');
LEGEND_CONSTANTS(:,40) = strpad('rach_NSCC_SM in component I_NSCC_SM (dimensionless)');
LEGEND_RATES(:,1) = strpad('d/dt Vm_SM in component SM_Membrane (voltage_units)');
LEGEND_RATES(:,2) = strpad('d/dt Ca_i in component SM_Membrane (millimolar)');
LEGEND_RATES(:,3) = strpad('d/dt d_Ltype_SM in component d_Ltype_SM (dimensionless)');
LEGEND_RATES(:,4) = strpad('d/dt f_Ltype_SM in component f_Ltype_SM (dimensionless)');
LEGEND_RATES(:,5) = strpad('d/dt f_ca_Ltype_SM in component f_ca_Ltype_SM (dimensionless)');
LEGEND_RATES(:,6) = strpad('d/dt d_LVA_SM in component d_LVA_SM (dimensionless)');
LEGEND_RATES(:,7) = strpad('d/dt f_LVA_SM in component f_LVA_SM (dimensionless)');
LEGEND_RATES(:,8) = strpad('d/dt xr1_SM in component xr1_SM (dimensionless)');
LEGEND_RATES(:,9) = strpad('d/dt xr2_SM in component xr2_SM (dimensionless)');
LEGEND_RATES(:,10) = strpad('d/dt m_Na_SM in component m_Na_SM (dimensionless)');
LEGEND_RATES(:,11) = strpad('d/dt h_Na_SM in component h_Na_SM (dimensionless)');
LEGEND_RATES(:,12) = strpad('d/dt xa1_SM in component xa1_SM (dimensionless)');
LEGEND_RATES(:,13) = strpad('d/dt xa2_SM in component xa2_SM (dimensionless)');
LEGEND_RATES(:,14) = strpad('d/dt m_NSCC_SM in component m_NSCC_SM (dimensionless)');
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 = [];
CONSTANTS(:,1) = 0.00001;
CONSTANTS(:,2) = 1.3;
CONSTANTS(:,3) = 310;
CONSTANTS(:,4) = 297;
CONSTANTS(:,5) = 96486;
CONSTANTS(:,6) = 8314.4;
CONSTANTS(:,7) = 2.1;
CONSTANTS(:,8) = 1.365;
CONSTANTS(:,9) = 2.45;
CONSTANTS(:,10) = 2.5;
CONSTANTS(:,11) = 137;
CONSTANTS(:,12) = 5.9;
CONSTANTS(:,13) = 134;
CONSTANTS(:,14) = 77;
CONSTANTS(:,15) = 3500;
STATES(:,1) = -69.75;
STATES(:,2) = 0.00008;
CONSTANTS(:,16) = 10;
CONSTANTS(:,17) = 164;
CONSTANTS(:,18) = 20000;
CONSTANTS(:,19) = 59;
CONSTANTS(:,20) = 98;
CONSTANTS(:,21) = 7582;
CONSTANTS(:,22) = 10000;
CONSTANTS(:,23) = 37.25;
STATES(:,3) = 0.0;
STATES(:,4) = 0.95;
STATES(:,5) = 1.0;
CONSTANTS(:,24) = 65;
CONSTANTS(:,25) = 0.31705;
STATES(:,6) = 0.02;
STATES(:,7) = 0.99;
CONSTANTS(:,26) = 0.18;
CONSTANTS(:,27) = 45.7;
CONSTANTS(:,28) = 0.0144;
STATES(:,8) = 0.0;
STATES(:,9) = 0.82;
CONSTANTS(:,29) = 35;
STATES(:,10) = 0.005;
STATES(:,11) = 0.05787;
CONSTANTS(:,30) = 3;
STATES(:,12) = 0.00414;
STATES(:,13) = 0.72;
CONSTANTS(:,31) = 9;
STATES(:,14) = 0.0;
CONSTANTS(:,32) = -28;
CONSTANTS(:,33) = 50;
CONSTANTS(:,34) = power(CONSTANTS(:,9), (CONSTANTS(:,3) - CONSTANTS(:,4))./10.0000);
CONSTANTS(:,35) = power(CONSTANTS(:,8), (CONSTANTS(:,3) - CONSTANTS(:,4))./10.0000);
CONSTANTS(:,36) = power(CONSTANTS(:,7), (CONSTANTS(:,3) - CONSTANTS(:,4))./10.0000);
CONSTANTS(:,37) = 1.10000.*(CONSTANTS(:,3) - CONSTANTS(:,4));
CONSTANTS(:,38) = CONSTANTS(:,5)./( CONSTANTS(:,6).*CONSTANTS(:,3));
CONSTANTS(:,39) = ( CONSTANTS(:,6).*CONSTANTS(:,3))./CONSTANTS(:,5);
CONSTANTS(:,40) = 1.00000./(1.00000+0.0100000./CONSTANTS(:,1));
CONSTANTS(:,41) = CONSTANTS(:,36).*0.470000;
CONSTANTS(:,42) = CONSTANTS(:,36).*86.0000;
CONSTANTS(:,43) = CONSTANTS(:,36).*2.00000;
CONSTANTS(:,44) = CONSTANTS(:,36).*3.00000;
CONSTANTS(:,45) = CONSTANTS(:,39).*log(CONSTANTS(:,12)./CONSTANTS(:,17));
CONSTANTS(:,46) = CONSTANTS(:,39).*log(CONSTANTS(:,12)./CONSTANTS(:,17));
CONSTANTS(:,47) = CONSTANTS(:,35).*80.0000;
CONSTANTS(:,48) = CONSTANTS(:,39).*log(CONSTANTS(:,12)./CONSTANTS(:,17));
CONSTANTS(:,49) = CONSTANTS(:,39).*log(CONSTANTS(:,11)./CONSTANTS(:,16));
CONSTANTS(:,50) = CONSTANTS(:,35).*90.0000;
CONSTANTS(:,51) = CONSTANTS(:,39).*log(CONSTANTS(:,12)./CONSTANTS(:,17));
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(:,2) = 1.00000./(1.00000+exp((STATES(:,1)+17.0000)./-4.30000));
RATES(:,3) = (ALGEBRAIC(:,2) - STATES(:,3))./CONSTANTS(:,41);
ALGEBRAIC(:,3) = 1.00000./(1.00000+exp((STATES(:,1)+43.0000)./8.90000));
RATES(:,4) = (ALGEBRAIC(:,3) - STATES(:,4))./CONSTANTS(:,42);
ALGEBRAIC(:,4) = 1.00000 - 1.00000./(1.00000+exp(((STATES(:,2) - 8.99900e-05) - 0.000214000)./-1.31000e-05));
RATES(:,5) = (ALGEBRAIC(:,4) - STATES(:,5))./CONSTANTS(:,43);
ALGEBRAIC(:,5) = 1.00000./(1.00000+exp((STATES(:,1)+27.5000)./-10.9000));
RATES(:,6) = (ALGEBRAIC(:,5) - STATES(:,6))./CONSTANTS(:,44);
ALGEBRAIC(:,7) = 1.00000./(1.00000+exp((STATES(:,1)+27.0000)./-5.00000));
RATES(:,8) = (ALGEBRAIC(:,7) - STATES(:,8))./CONSTANTS(:,47);
ALGEBRAIC(:,12) = 0.100000+0.900000./(1.00000+exp((STATES(:,1)+65.0000)./6.20000));
RATES(:,13) = (ALGEBRAIC(:,12) - STATES(:,13))./CONSTANTS(:,50);
ALGEBRAIC(:,6) = 1.00000./(1.00000+exp((STATES(:,1)+15.8000)./7.00000));
ALGEBRAIC(:,15) = CONSTANTS(:,36).*( 7.58000.*exp( STATES(:,1).*0.00817000));
RATES(:,7) = (ALGEBRAIC(:,6) - STATES(:,7))./ALGEBRAIC(:,15);
ALGEBRAIC(:,8) = 0.200000+0.800000./(1.00000+exp((STATES(:,1)+58.0000)./10.0000));
ALGEBRAIC(:,16) = CONSTANTS(:,35).*(-707.000+ 1481.00.*exp((STATES(:,1)+36.0000)./95.0000));
RATES(:,9) = (ALGEBRAIC(:,8) - STATES(:,9))./ALGEBRAIC(:,16);
ALGEBRAIC(:,9) = 1.00000./(1.00000+exp((STATES(:,1)+47.0000)./-4.80000));
ALGEBRAIC(:,17) = CONSTANTS(:,34).*( STATES(:,1).*-0.0170000.*1.00000+0.440000);
RATES(:,10) = (ALGEBRAIC(:,9) - STATES(:,10))./ALGEBRAIC(:,17);
ALGEBRAIC(:,10) = 1.00000./(1.00000+exp((STATES(:,1)+78.0000)./3.00000));
ALGEBRAIC(:,18) = CONSTANTS(:,34).*( STATES(:,1).*-0.250000.*1.00000+5.50000);
RATES(:,11) = (ALGEBRAIC(:,10) - STATES(:,11))./ALGEBRAIC(:,18);
ALGEBRAIC(:,11) = 1.00000./(1.00000+exp((STATES(:,1)+26.5000)./-7.90000));
ALGEBRAIC(:,19) = CONSTANTS(:,35).*(31.8000+ 175.000.*exp( -0.500000.*power((STATES(:,1)+44.4000)./22.3000, 2.00000)));
RATES(:,12) = (ALGEBRAIC(:,11) - STATES(:,12))./ALGEBRAIC(:,19);
ALGEBRAIC(:,13) = 1.00000./(1.00000+exp((STATES(:,1)+25.0000)./-20.0000));
ALGEBRAIC(:,20) = (1.00000./(1.00000+exp((STATES(:,1)+66.0000)./-26.0000))).*150.000;
RATES(:,14) = (ALGEBRAIC(:,13) - STATES(:,14))./ALGEBRAIC(:,20);
ALGEBRAIC(:,22) = 0.500000.*CONSTANTS(:,39).*log(CONSTANTS(:,10)./STATES(:,2));
ALGEBRAIC(:,23) = CONSTANTS(:,24).*( STATES(:,4).*STATES(:,3).*STATES(:,5)).*(STATES(:,1) - ALGEBRAIC(:,22));
ALGEBRAIC(:,25) = 0.500000.*CONSTANTS(:,39).*log(CONSTANTS(:,10)./STATES(:,2));
ALGEBRAIC(:,26) = CONSTANTS(:,26).*( STATES(:,7).*STATES(:,6)).*(STATES(:,1) - ALGEBRAIC(:,25));
ALGEBRAIC(:,24) = CONSTANTS(:,25).*power( STATES(:,2).*1.00000, 1.34000);
RATES(:,2) = ( -1.00000.*ALGEBRAIC(:,23)+ -1.00000.*ALGEBRAIC(:,26))./( 2.00000.*0.00100000.*CONSTANTS(:,5).*CONSTANTS(:,15))+ -1.00000.*ALGEBRAIC(:,24);
ALGEBRAIC(:,31) = CONSTANTS(:,30).*( STATES(:,11).*STATES(:,10)).*(STATES(:,1) - CONSTANTS(:,49));
ALGEBRAIC(:,30) = CONSTANTS(:,29).*( STATES(:,8).*STATES(:,9)).*(STATES(:,1) - CONSTANTS(:,48));
ALGEBRAIC(:,32) = CONSTANTS(:,31).*( STATES(:,12).*STATES(:,13)).*(STATES(:,1) - CONSTANTS(:,51));
ALGEBRAIC(:,27) = 1.00000./(1.00000+exp(STATES(:,1)./-17.0000 - 2.00000.*log(STATES(:,2)./0.00100000)));
ALGEBRAIC(:,28) = (CONSTANTS(:,27)+CONSTANTS(:,37)).*ALGEBRAIC(:,27).*(STATES(:,1) - CONSTANTS(:,45));
ALGEBRAIC(:,33) = 1.00000./(1.00000+power(STATES(:,2)./0.000200000, -4.00000));
ALGEBRAIC(:,34) = CONSTANTS(:,33).*STATES(:,14).*ALGEBRAIC(:,33).*CONSTANTS(:,40).*(STATES(:,1) - CONSTANTS(:,32));
ALGEBRAIC(:,29) = CONSTANTS(:,28).*(STATES(:,1) - CONSTANTS(:,46));
ALGEBRAIC(:,1) = piecewise({VOI> CONSTANTS(:,18).*1.00000&VOI<= CONSTANTS(:,18).*2.00000, CONSTANTS(:,18).*1.00000 , VOI> CONSTANTS(:,18).*2.00000&VOI<= CONSTANTS(:,18).*3.00000, CONSTANTS(:,18).*2.00000 , VOI> CONSTANTS(:,18).*3.00000&VOI<= CONSTANTS(:,18).*4.00000, CONSTANTS(:,18).*3.00000 , VOI> CONSTANTS(:,18).*4.00000&VOI<= CONSTANTS(:,18).*5.00000, CONSTANTS(:,18).*4.00000 }, 0.00000);
ALGEBRAIC(:,14) = VOI - (ALGEBRAIC(:,1)+CONSTANTS(:,20));
ALGEBRAIC(:,21) = piecewise({ALGEBRAIC(:,14)<CONSTANTS(:,20), CONSTANTS(:,2).*CONSTANTS(:,19) , ALGEBRAIC(:,14)>=CONSTANTS(:,20)&ALGEBRAIC(:,14)<=CONSTANTS(:,21), CONSTANTS(:,2).*CONSTANTS(:,19).*(1.00000./(1.00000+exp((ALGEBRAIC(:,14) - 8000.00)./1000.00))) , ALGEBRAIC(:,14)>CONSTANTS(:,21)&ALGEBRAIC(:,14)<CONSTANTS(:,22), CONSTANTS(:,2).*CONSTANTS(:,23).*(1.00000./(1.00000+exp((ALGEBRAIC(:,14) - 8000.00)./150.000))) }, 0.00000);
RATES(:,1) = -1.00000.*(1.00000./CONSTANTS(:,14)).*(ALGEBRAIC(:,31)+ALGEBRAIC(:,23)+ALGEBRAIC(:,26)+ALGEBRAIC(:,30)+ALGEBRAIC(:,32)+ALGEBRAIC(:,28)+ALGEBRAIC(:,34)+ALGEBRAIC(:,29)+ -1.00000.*ALGEBRAIC(:,21));
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) = 1.00000./(1.00000+exp((STATES(:,1)+17.0000)./-4.30000));
ALGEBRAIC(:,3) = 1.00000./(1.00000+exp((STATES(:,1)+43.0000)./8.90000));
ALGEBRAIC(:,4) = 1.00000 - 1.00000./(1.00000+exp(((STATES(:,2) - 8.99900e-05) - 0.000214000)./-1.31000e-05));
ALGEBRAIC(:,5) = 1.00000./(1.00000+exp((STATES(:,1)+27.5000)./-10.9000));
ALGEBRAIC(:,7) = 1.00000./(1.00000+exp((STATES(:,1)+27.0000)./-5.00000));
ALGEBRAIC(:,12) = 0.100000+0.900000./(1.00000+exp((STATES(:,1)+65.0000)./6.20000));
ALGEBRAIC(:,6) = 1.00000./(1.00000+exp((STATES(:,1)+15.8000)./7.00000));
ALGEBRAIC(:,15) = CONSTANTS(:,36).*( 7.58000.*exp( STATES(:,1).*0.00817000));
ALGEBRAIC(:,8) = 0.200000+0.800000./(1.00000+exp((STATES(:,1)+58.0000)./10.0000));
ALGEBRAIC(:,16) = CONSTANTS(:,35).*(-707.000+ 1481.00.*exp((STATES(:,1)+36.0000)./95.0000));
ALGEBRAIC(:,9) = 1.00000./(1.00000+exp((STATES(:,1)+47.0000)./-4.80000));
ALGEBRAIC(:,17) = CONSTANTS(:,34).*( STATES(:,1).*-0.0170000.*1.00000+0.440000);
ALGEBRAIC(:,10) = 1.00000./(1.00000+exp((STATES(:,1)+78.0000)./3.00000));
ALGEBRAIC(:,18) = CONSTANTS(:,34).*( STATES(:,1).*-0.250000.*1.00000+5.50000);
ALGEBRAIC(:,11) = 1.00000./(1.00000+exp((STATES(:,1)+26.5000)./-7.90000));
ALGEBRAIC(:,19) = CONSTANTS(:,35).*(31.8000+ 175.000.*exp( -0.500000.*power((STATES(:,1)+44.4000)./22.3000, 2.00000)));
ALGEBRAIC(:,13) = 1.00000./(1.00000+exp((STATES(:,1)+25.0000)./-20.0000));
ALGEBRAIC(:,20) = (1.00000./(1.00000+exp((STATES(:,1)+66.0000)./-26.0000))).*150.000;
ALGEBRAIC(:,22) = 0.500000.*CONSTANTS(:,39).*log(CONSTANTS(:,10)./STATES(:,2));
ALGEBRAIC(:,23) = CONSTANTS(:,24).*( STATES(:,4).*STATES(:,3).*STATES(:,5)).*(STATES(:,1) - ALGEBRAIC(:,22));
ALGEBRAIC(:,25) = 0.500000.*CONSTANTS(:,39).*log(CONSTANTS(:,10)./STATES(:,2));
ALGEBRAIC(:,26) = CONSTANTS(:,26).*( STATES(:,7).*STATES(:,6)).*(STATES(:,1) - ALGEBRAIC(:,25));
ALGEBRAIC(:,24) = CONSTANTS(:,25).*power( STATES(:,2).*1.00000, 1.34000);
ALGEBRAIC(:,31) = CONSTANTS(:,30).*( STATES(:,11).*STATES(:,10)).*(STATES(:,1) - CONSTANTS(:,49));
ALGEBRAIC(:,30) = CONSTANTS(:,29).*( STATES(:,8).*STATES(:,9)).*(STATES(:,1) - CONSTANTS(:,48));
ALGEBRAIC(:,32) = CONSTANTS(:,31).*( STATES(:,12).*STATES(:,13)).*(STATES(:,1) - CONSTANTS(:,51));
ALGEBRAIC(:,27) = 1.00000./(1.00000+exp(STATES(:,1)./-17.0000 - 2.00000.*log(STATES(:,2)./0.00100000)));
ALGEBRAIC(:,28) = (CONSTANTS(:,27)+CONSTANTS(:,37)).*ALGEBRAIC(:,27).*(STATES(:,1) - CONSTANTS(:,45));
ALGEBRAIC(:,33) = 1.00000./(1.00000+power(STATES(:,2)./0.000200000, -4.00000));
ALGEBRAIC(:,34) = CONSTANTS(:,33).*STATES(:,14).*ALGEBRAIC(:,33).*CONSTANTS(:,40).*(STATES(:,1) - CONSTANTS(:,32));
ALGEBRAIC(:,29) = CONSTANTS(:,28).*(STATES(:,1) - CONSTANTS(:,46));
ALGEBRAIC(:,1) = piecewise({VOI> CONSTANTS(:,18).*1.00000&VOI<= CONSTANTS(:,18).*2.00000, CONSTANTS(:,18).*1.00000 , VOI> CONSTANTS(:,18).*2.00000&VOI<= CONSTANTS(:,18).*3.00000, CONSTANTS(:,18).*2.00000 , VOI> CONSTANTS(:,18).*3.00000&VOI<= CONSTANTS(:,18).*4.00000, CONSTANTS(:,18).*3.00000 , VOI> CONSTANTS(:,18).*4.00000&VOI<= CONSTANTS(:,18).*5.00000, CONSTANTS(:,18).*4.00000 }, 0.00000);
ALGEBRAIC(:,14) = VOI - (ALGEBRAIC(:,1)+CONSTANTS(:,20));
ALGEBRAIC(:,21) = piecewise({ALGEBRAIC(:,14)<CONSTANTS(:,20), CONSTANTS(:,2).*CONSTANTS(:,19) , ALGEBRAIC(:,14)>=CONSTANTS(:,20)&ALGEBRAIC(:,14)<=CONSTANTS(:,21), CONSTANTS(:,2).*CONSTANTS(:,19).*(1.00000./(1.00000+exp((ALGEBRAIC(:,14) - 8000.00)./1000.00))) , ALGEBRAIC(:,14)>CONSTANTS(:,21)&ALGEBRAIC(:,14)<CONSTANTS(:,22), CONSTANTS(:,2).*CONSTANTS(:,23).*(1.00000./(1.00000+exp((ALGEBRAIC(:,14) - 8000.00)./150.000))) }, 0.00000);
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