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 =57;
end
% There are a total of 8 entries in each of the rate and state variable arrays.
% There are a total of 73 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_CONSTANTS(:,1) = strpad('I_hold in component interface (pA_per_pF)');
LEGEND_CONSTANTS(:,2) = strpad('I_test in component interface (pA_per_pF)');
LEGEND_CONSTANTS(:,3) = strpad('test_start in component interface (msec)');
LEGEND_CONSTANTS(:,4) = strpad('test_end in component interface (msec)');
LEGEND_ALGEBRAIC(:,1) = strpad('Ist in component interface (pA_per_pF)');
LEGEND_VOI = strpad('time in component environment (msec)');
LEGEND_ALGEBRAIC(:,44) = strpad('I_tot in component membrane_potential (pA_per_pF)');
LEGEND_ALGEBRAIC(:,41) = strpad('I_Ca_tot in component membrane_potential (pA_per_pF)');
LEGEND_STATES(:,1) = strpad('v in component membrane_potential (mV)');
LEGEND_CONSTANTS(:,67) = strpad('Cm in component parameters (uF_per_cm2)');
LEGEND_ALGEBRAIC(:,18) = strpad('ina in component I_Na (pA_per_pF)');
LEGEND_ALGEBRAIC(:,23) = strpad('ical in component I_CaL (pA_per_pF)');
LEGEND_ALGEBRAIC(:,27) = strpad('icat in component I_CaT (pA_per_pF)');
LEGEND_ALGEBRAIC(:,28) = strpad('ib in component I_b (pA_per_pF)');
LEGEND_ALGEBRAIC(:,29) = strpad('ik1 in component I_K1 (pA_per_pF)');
LEGEND_ALGEBRAIC(:,33) = strpad('iBKa in component I_BKa (pA_per_pF)');
LEGEND_ALGEBRAIC(:,37) = strpad('iBKab in component I_BKab (pA_per_pF)');
LEGEND_ALGEBRAIC(:,38) = strpad('icl in component I_Cl (pA_per_pF)');
LEGEND_ALGEBRAIC(:,40) = strpad('insna in component I_ns (pA_per_pF)');
LEGEND_ALGEBRAIC(:,39) = strpad('insca in component I_ns (pA_per_pF)');
LEGEND_ALGEBRAIC(:,42) = strpad('insk in component I_ns (pA_per_pF)');
LEGEND_ALGEBRAIC(:,56) = strpad('J_tot in component Ca_Concentrations (mM_per_msec)');
LEGEND_ALGEBRAIC(:,43) = strpad('J_Ca_mem in component Ca_Concentrations (mM_per_msec)');
LEGEND_STATES(:,2) = strpad('cai in component Ca_Concentrations (mM)');
LEGEND_ALGEBRAIC(:,53) = strpad('jnaca in component J_NaCa (mM_per_msec)');
LEGEND_ALGEBRAIC(:,54) = strpad('jpmca in component J_PMCA (mM_per_msec)');
LEGEND_CONSTANTS(:,61) = strpad('buff in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,62) = strpad('AV in component parameters (cm2_per_uL)');
LEGEND_CONSTANTS(:,63) = strpad('zca in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,65) = strpad('frdy in component parameters (coulomb_per_mole)');
LEGEND_ALGEBRAIC(:,46) = strpad('jcamem_plot in component Ca_Concentrations (M_per_msec)');
LEGEND_ALGEBRAIC(:,57) = strpad('jpmca_plot in component Ca_Concentrations (M_per_msec)');
LEGEND_ALGEBRAIC(:,55) = strpad('jnaca_plot in component Ca_Concentrations (M_per_msec)');
LEGEND_CONSTANTS(:,5) = strpad('conversion in component Ca_Concentrations (mM_to_M)');
LEGEND_CONSTANTS(:,51) = strpad('ki in component parameters (mM)');
LEGEND_CONSTANTS(:,52) = strpad('nai in component parameters (mM)');
LEGEND_CONSTANTS(:,55) = strpad('cli in component parameters (mM)');
LEGEND_CONSTANTS(:,56) = strpad('ko in component parameters (mM)');
LEGEND_CONSTANTS(:,12) = strpad('cao in component parameters (mM)');
LEGEND_CONSTANTS(:,57) = strpad('nao in component parameters (mM)');
LEGEND_CONSTANTS(:,59) = strpad('clo in component parameters (mM)');
LEGEND_CONSTANTS(:,13) = strpad('mgo in component parameters (mM)');
LEGEND_CONSTANTS(:,14) = strpad('zna in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,15) = strpad('zk in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,64) = strpad('R in component parameters (joule_per_kelvin_per_kilomole)');
LEGEND_CONSTANTS(:,66) = strpad('temp in component parameters (kelvin)');
LEGEND_CONSTANTS(:,16) = strpad('gna in component parameters (nS_per_pF)');
LEGEND_CONSTANTS(:,17) = strpad('gcal in component parameters (nS_per_pF)');
LEGEND_CONSTANTS(:,18) = strpad('ecal in component parameters (mV)');
LEGEND_CONSTANTS(:,19) = strpad('kmca in component parameters (mM)');
LEGEND_CONSTANTS(:,20) = strpad('gcat in component parameters (nS_per_pF)');
LEGEND_CONSTANTS(:,21) = strpad('ecat in component parameters (mV)');
LEGEND_CONSTANTS(:,22) = strpad('gkca in component parameters (nS_per_pF)');
LEGEND_CONSTANTS(:,23) = strpad('gb in component parameters (nS_per_pF)');
LEGEND_CONSTANTS(:,24) = strpad('gk1 in component parameters (nS_per_pF)');
LEGEND_CONSTANTS(:,25) = strpad('gbka in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,26) = strpad('gbkab in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,27) = strpad('gcl in component parameters (nS_per_pF)');
LEGEND_CONSTANTS(:,28) = strpad('gns in component parameters (nS_per_pF)');
LEGEND_CONSTANTS(:,29) = strpad('PnsK in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,30) = strpad('PnsNa in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,31) = strpad('PnsCa in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,32) = strpad('PnsCs in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,33) = strpad('gnsCa in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,34) = strpad('gnsNa in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,35) = strpad('gnsK in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,36) = strpad('gnsCs in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,37) = strpad('PK in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,38) = strpad('PNa in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,39) = strpad('Jpmca in component parameters (mM_per_msec)');
LEGEND_CONSTANTS(:,40) = strpad('Kmpmca in component parameters (mM)');
LEGEND_CONSTANTS(:,41) = strpad('npmca in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,68) = strpad('Jnaca in component parameters (mM_per_msec)');
LEGEND_CONSTANTS(:,42) = strpad('Kmallo in component parameters (mM)');
LEGEND_CONSTANTS(:,43) = strpad('nallo in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,72) = strpad('ksat in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,73) = strpad('xgamma in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,44) = strpad('Kmnai in component parameters (mM)');
LEGEND_CONSTANTS(:,45) = strpad('Kmcai in component parameters (mM)');
LEGEND_CONSTANTS(:,46) = strpad('Kmnao in component parameters (mM)');
LEGEND_CONSTANTS(:,47) = strpad('Kmcao in component parameters (mM)');
LEGEND_CONSTANTS(:,48) = strpad('Fmax in component parameters (uN)');
LEGEND_CONSTANTS(:,49) = strpad('FKm in component parameters (nM)');
LEGEND_CONSTANTS(:,50) = strpad('Fn in component parameters (dimensionless)');
LEGEND_ALGEBRAIC(:,7) = strpad('vFRT in component parameters (dimensionless)');
LEGEND_CONSTANTS(:,69) = strpad('ena in component parameters (mV)');
LEGEND_CONSTANTS(:,70) = strpad('ek in component parameters (mV)');
LEGEND_CONSTANTS(:,71) = strpad('ecl in component parameters (mV)');
LEGEND_ALGEBRAIC(:,12) = strpad('enscc in component parameters (mV)');
LEGEND_ALGEBRAIC(:,2) = strpad('wss in component Ca_dependent_Force (dimensionless)');
LEGEND_ALGEBRAIC(:,8) = strpad('wtc in component Ca_dependent_Force (msec)');
LEGEND_CONSTANTS(:,6) = strpad('conversion in component Ca_dependent_Force (nM_to_mM)');
LEGEND_ALGEBRAIC(:,3) = strpad('Force in component Ca_dependent_Force (uN)');
LEGEND_STATES(:,3) = strpad('w in component Ca_dependent_Force (dimensionless)');
LEGEND_ALGEBRAIC(:,14) = strpad('mss in component I_Na (dimensionless)');
LEGEND_ALGEBRAIC(:,16) = strpad('hss in component I_Na (dimensionless)');
LEGEND_ALGEBRAIC(:,4) = strpad('htc in component I_Na (msec)');
LEGEND_CONSTANTS(:,7) = strpad('h in component I_Na (dimensionless)');
LEGEND_ALGEBRAIC(:,21) = strpad('dss in component I_CaL (dimensionless)');
LEGEND_ALGEBRAIC(:,22) = strpad('fss in component I_CaL (dimensionless)');
LEGEND_ALGEBRAIC(:,20) = strpad('fca in component I_CaL (dimensionless)');
LEGEND_ALGEBRAIC(:,24) = strpad('f2tc in component I_CaL (msec)');
LEGEND_STATES(:,4) = strpad('f2 in component I_CaL (dimensionless)');
LEGEND_ALGEBRAIC(:,25) = strpad('bss in component I_CaT (dimensionless)');
LEGEND_ALGEBRAIC(:,26) = strpad('gss in component I_CaT (dimensionless)');
LEGEND_ALGEBRAIC(:,5) = strpad('qss in component I_K1 (dimensionless)');
LEGEND_ALGEBRAIC(:,6) = strpad('rss in component I_K1 (dimensionless)');
LEGEND_ALGEBRAIC(:,9) = strpad('qtc in component I_K1 (msec)');
LEGEND_ALGEBRAIC(:,10) = strpad('r1tc in component I_K1 (msec)');
LEGEND_ALGEBRAIC(:,11) = strpad('r2tc in component I_K1 (msec)');
LEGEND_STATES(:,5) = strpad('q in component I_K1 (dimensionless)');
LEGEND_STATES(:,6) = strpad('r1 in component I_K1 (dimensionless)');
LEGEND_STATES(:,7) = strpad('r2 in component I_K1 (dimensionless)');
LEGEND_ALGEBRAIC(:,30) = strpad('xass_z in component I_BKa (dimensionless)');
LEGEND_ALGEBRAIC(:,31) = strpad('xass_vh in component I_BKa (mV)');
LEGEND_CONSTANTS(:,8) = strpad('conversion in component I_BKa (mM_to_M)');
LEGEND_ALGEBRAIC(:,32) = strpad('xass in component I_BKa (dimensionless)');
LEGEND_ALGEBRAIC(:,34) = strpad('xabss_z in component I_BKab (dimensionless)');
LEGEND_ALGEBRAIC(:,35) = strpad('xabss_vh in component I_BKab (mV)');
LEGEND_CONSTANTS(:,9) = strpad('conversion in component I_BKab (mM_to_M)');
LEGEND_ALGEBRAIC(:,36) = strpad('xabss in component I_BKab (dimensionless)');
LEGEND_ALGEBRAIC(:,17) = strpad('css in component I_Cl (dimensionless)');
LEGEND_ALGEBRAIC(:,19) = strpad('ctc in component I_Cl (msec)');
LEGEND_ALGEBRAIC(:,13) = strpad('K1cl in component I_Cl (mM)');
LEGEND_ALGEBRAIC(:,15) = strpad('K2cl in component I_Cl (dimensionless)');
LEGEND_STATES(:,8) = strpad('c in component I_Cl (dimensionless)');
LEGEND_CONSTANTS(:,53) = strpad('fmg in component I_ns (dimensionless)');
LEGEND_CONSTANTS(:,60) = strpad('gs_nao in component I_ns (dimensionless)');
LEGEND_CONSTANTS(:,54) = strpad('gs_cao in component I_ns (dimensionless)');
LEGEND_CONSTANTS(:,58) = strpad('gs_ko in component I_ns (dimensionless)');
LEGEND_CONSTANTS(:,10) = strpad('tinyamount in component I_ns (mM)');
LEGEND_ALGEBRAIC(:,45) = strpad('f1naca in component J_NaCa (dimensionless)');
LEGEND_ALGEBRAIC(:,47) = strpad('f2naca in component J_NaCa (dimensionless)');
LEGEND_ALGEBRAIC(:,48) = strpad('fallo in component J_NaCa (dimensionless)');
LEGEND_ALGEBRAIC(:,49) = strpad('naca_Eup in component J_NaCa (mM4)');
LEGEND_ALGEBRAIC(:,50) = strpad('naca_Ed1 in component J_NaCa (dimensionless)');
LEGEND_ALGEBRAIC(:,51) = strpad('naca_Ed2 in component J_NaCa (mM4)');
LEGEND_ALGEBRAIC(:,52) = strpad('naca_Ed3 in component J_NaCa (mM4)');
LEGEND_CONSTANTS(:,11) = strpad('jnaca_sign in component J_NaCa (dimensionless)');
LEGEND_RATES(:,1) = strpad('d/dt v in component membrane_potential (mV)');
LEGEND_RATES(:,2) = strpad('d/dt cai in component Ca_Concentrations (mM)');
LEGEND_RATES(:,3) = strpad('d/dt w in component Ca_dependent_Force (dimensionless)');
LEGEND_RATES(:,4) = strpad('d/dt f2 in component I_CaL (dimensionless)');
LEGEND_RATES(:,5) = strpad('d/dt q in component I_K1 (dimensionless)');
LEGEND_RATES(:,6) = strpad('d/dt r1 in component I_K1 (dimensionless)');
LEGEND_RATES(:,7) = strpad('d/dt r2 in component I_K1 (dimensionless)');
LEGEND_RATES(:,8) = strpad('d/dt c in component I_Cl (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;
CONSTANTS(:,2) = -0.5;
CONSTANTS(:,3) = 1000;
CONSTANTS(:,4) = 3000;
STATES(:,1) = -53.90915441282156;
STATES(:,2) = 0.0001161881607214449;
CONSTANTS(:,5) = 1000;
CONSTANTS(:,6) = 1e-6;
STATES(:,3) = 0.2345238135343783;
CONSTANTS(:,7) = 0.404599170710196;
STATES(:,4) = 0.9065967263076083;
STATES(:,5) = 0.2060363247740295;
STATES(:,6) = 0.1922244113609531;
STATES(:,7) = 0.1932803618375963;
CONSTANTS(:,8) = 1000.0;
CONSTANTS(:,9) = 1000.0;
STATES(:,8) = 0.0003764413740731269;
CONSTANTS(:,10) = 1e-8;
CONSTANTS(:,11) = -1;
CONSTANTS(:,12) = 2.50000;
CONSTANTS(:,13) = 0.500000;
CONSTANTS(:,14) = 1.00000;
CONSTANTS(:,15) = 1.00000;
CONSTANTS(:,16) = 0.0895000;
CONSTANTS(:,17) = 0.600000;
CONSTANTS(:,18) = 45.0000;
CONSTANTS(:,19) = 0.00100000;
CONSTANTS(:,20) = 0.0580000;
CONSTANTS(:,21) = 42.0000;
CONSTANTS(:,22) = 0.800000;
CONSTANTS(:,23) = 0.00400000;
CONSTANTS(:,24) = 0.700000;
CONSTANTS(:,25) = 0.200000;
CONSTANTS(:,26) = 0.100000;
CONSTANTS(:,27) = 0.187500;
CONSTANTS(:,28) = 0.0123000;
CONSTANTS(:,29) = 1.30000;
CONSTANTS(:,30) = 0.900000;
CONSTANTS(:,31) = 0.890000;
CONSTANTS(:,32) = 1.00000;
CONSTANTS(:,33) = 0.500000;
CONSTANTS(:,34) = 1.00000;
CONSTANTS(:,35) = 1.19000;
CONSTANTS(:,36) = 1.60000;
CONSTANTS(:,37) = 1.00000;
CONSTANTS(:,38) = 0.350000;
CONSTANTS(:,39) = 3.50000e-07;
CONSTANTS(:,40) = 0.000500000;
CONSTANTS(:,41) = 2.00000;
CONSTANTS(:,42) = 0.000300000;
CONSTANTS(:,43) = 4.00000;
CONSTANTS(:,44) = 30.0000;
CONSTANTS(:,45) = 0.00700000;
CONSTANTS(:,46) = 87.5000;
CONSTANTS(:,47) = 1.30000;
CONSTANTS(:,48) = 3.00000;
CONSTANTS(:,49) = 161.301;
CONSTANTS(:,50) = 3.60205;
CONSTANTS(:,51) = 140.000;
CONSTANTS(:,52) = 4.00000;
CONSTANTS(:,53) = 0.108043+0.903902./(1.00000+power(CONSTANTS(:,13)./0.281007, 1.29834));
CONSTANTS(:,54) = ( (1.00000./0.000525000).*0.0300000)./(1.00000+power(150.000./(CONSTANTS(:,12)+CONSTANTS(:,10)), 2.00000));
CONSTANTS(:,55) = 46.0000;
CONSTANTS(:,56) = 6.00000;
CONSTANTS(:,57) = 130.000;
CONSTANTS(:,58) = ( (1.00000./0.0123000).*0.0300000)./(1.00000+power(150.000./(CONSTANTS(:,56)+CONSTANTS(:,10)), 2.00000));
CONSTANTS(:,59) = 130.000;
CONSTANTS(:,60) = ( (1.00000./0.0123000).*0.0300000)./(1.00000+power(150.000./(CONSTANTS(:,57)+CONSTANTS(:,10)), 2.00000));
CONSTANTS(:,61) = 0.0169000;
CONSTANTS(:,62) = 4.00000;
CONSTANTS(:,63) = 2.00000;
CONSTANTS(:,64) = 8314.00;
CONSTANTS(:,65) = 96485.0;
CONSTANTS(:,66) = 308.000;
CONSTANTS(:,67) = 1.00000;
CONSTANTS(:,68) = 3.50000e-06;
CONSTANTS(:,69) = (( CONSTANTS(:,64).*CONSTANTS(:,66))./CONSTANTS(:,65)).*log(CONSTANTS(:,57)./CONSTANTS(:,52));
CONSTANTS(:,70) = (( CONSTANTS(:,64).*CONSTANTS(:,66))./CONSTANTS(:,65)).*log(CONSTANTS(:,56)./CONSTANTS(:,51));
CONSTANTS(:,71) = (( CONSTANTS(:,64).*CONSTANTS(:,66))./CONSTANTS(:,65)).*log(CONSTANTS(:,55)./CONSTANTS(:,59));
CONSTANTS(:,72) = 0.270000;
CONSTANTS(:,73) = 0.350000;
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+power(( CONSTANTS(:,49).*CONSTANTS(:,6))./STATES(:,2), CONSTANTS(:,50)));
ALGEBRAIC(:,8) = 4000.00.*(0.234845+(1.00000 - 0.234845)./(1.00000+power(STATES(:,2)./( CONSTANTS(:,49).*CONSTANTS(:,6)), CONSTANTS(:,50))));
RATES(:,3) = (ALGEBRAIC(:,2) - STATES(:,3))./ALGEBRAIC(:,8);
ALGEBRAIC(:,5) = 0.978613./(1.00000+exp( - (STATES(:,1)+18.6736)./26.6606));
ALGEBRAIC(:,9) = 500.000./(1.00000+power((STATES(:,1)+60.7100)./15.7900, 2.00000));
RATES(:,5) = (ALGEBRAIC(:,5) - STATES(:,5))./ALGEBRAIC(:,9);
ALGEBRAIC(:,6) = 1.00000./(1.00000+exp((STATES(:,1)+63.0000)./6.30000));
ALGEBRAIC(:,10) = 5000.00./(1.00000+power((STATES(:,1)+62.7133)./35.8611, 2.00000));
RATES(:,6) = (ALGEBRAIC(:,6) - STATES(:,6))./ALGEBRAIC(:,10);
ALGEBRAIC(:,11) = 30000.0+220000../(1.00000+exp((STATES(:,1)+22.0000)./4.00000));
RATES(:,7) = (ALGEBRAIC(:,6) - STATES(:,7))./ALGEBRAIC(:,11);
ALGEBRAIC(:,7) = ( STATES(:,1).*CONSTANTS(:,65))./( CONSTANTS(:,64).*CONSTANTS(:,66));
ALGEBRAIC(:,13) = 0.000600000.*exp( 2.53000.*ALGEBRAIC(:,7));
ALGEBRAIC(:,15) = 0.100000.*exp( - 5.00000.*ALGEBRAIC(:,7));
ALGEBRAIC(:,17) = 1.00000./(1.00000+ ALGEBRAIC(:,15).*(power(ALGEBRAIC(:,13)./STATES(:,2), 2.00000)+ALGEBRAIC(:,13)./STATES(:,2)+1.00000));
ALGEBRAIC(:,19) = - 160.000+210.000./(1.00000+exp((STATES(:,1)+4.56000)./11.6200))+170.000./(1.00000+exp( - (STATES(:,1)+25.5000)./11.6200));
RATES(:,8) = (ALGEBRAIC(:,17) - STATES(:,8))./ALGEBRAIC(:,19);
ALGEBRAIC(:,22) = 1.00000./(1.00000+exp((STATES(:,1)+38.0000)./7.00000));
ALGEBRAIC(:,24) = 90.9699.*(1.00000 - 1.00000./( (1.00000+exp((STATES(:,1)+13.9629)./45.3782)).*(1.00000+exp( - (STATES(:,1)+9.49866)./3.39450))));
RATES(:,4) = (ALGEBRAIC(:,22) - STATES(:,4))./ALGEBRAIC(:,24);
ALGEBRAIC(:,1) = piecewise({VOI>CONSTANTS(:,3)&VOI<CONSTANTS(:,4), CONSTANTS(:,2) }, CONSTANTS(:,1));
ALGEBRAIC(:,14) = 1.00000./(1.00000+exp( - (STATES(:,1)+35.9584)./9.24013));
ALGEBRAIC(:,16) = 1.00000./(1.00000+exp((STATES(:,1)+57.0000)./8.00000));
ALGEBRAIC(:,18) = CONSTANTS(:,16).*ALGEBRAIC(:,14).*ALGEBRAIC(:,14).*ALGEBRAIC(:,14).*ALGEBRAIC(:,16).*(STATES(:,1) - CONSTANTS(:,69));
ALGEBRAIC(:,21) = 1.00000./(1.00000+exp( - (STATES(:,1)+22.0000)./7.00000));
ALGEBRAIC(:,20) = 1.00000./(1.00000+power(STATES(:,2)./CONSTANTS(:,19), 4.00000));
ALGEBRAIC(:,23) = CONSTANTS(:,17).*ALGEBRAIC(:,20).*ALGEBRAIC(:,21).*ALGEBRAIC(:,21).*( 0.800000.*ALGEBRAIC(:,22)+ 0.200000.*STATES(:,4)).*(STATES(:,1) - CONSTANTS(:,18));
ALGEBRAIC(:,25) = 1.00000./(1.00000+exp( - (STATES(:,1)+54.2300)./9.88000));
ALGEBRAIC(:,26) = 0.0200000+0.980000./(1.00000+exp((STATES(:,1)+72.9780)./4.64000));
ALGEBRAIC(:,27) = CONSTANTS(:,20).*ALGEBRAIC(:,25).*ALGEBRAIC(:,25).*ALGEBRAIC(:,26).*(STATES(:,1) - CONSTANTS(:,21));
ALGEBRAIC(:,28) = CONSTANTS(:,23).*(STATES(:,1) - CONSTANTS(:,70));
ALGEBRAIC(:,29) = CONSTANTS(:,24).*STATES(:,5).*STATES(:,5).*( 0.380000.*STATES(:,6)+ 0.630000.*STATES(:,7)).*(STATES(:,1) - CONSTANTS(:,70));
ALGEBRAIC(:,30) = - 0.749234./(1.00000+power(( STATES(:,2).*CONSTANTS(:,8) - 0.0630535)./0.161942, 2.00000))+8.38384./(1.00000+power(( STATES(:,2).*CONSTANTS(:,8)+1538.29)./739.057, 2.00000));
ALGEBRAIC(:,31) = 5011.47./(1.00000+power(( STATES(:,2).*CONSTANTS(:,8)+0.237503)./0.000239278, 0.422910)) - 37.5137;
ALGEBRAIC(:,32) = 1.00000./(1.00000+exp(( - ALGEBRAIC(:,30).*CONSTANTS(:,65).*(STATES(:,1) - ALGEBRAIC(:,31)))./( CONSTANTS(:,64).*CONSTANTS(:,66))));
ALGEBRAIC(:,33) = CONSTANTS(:,22).*CONSTANTS(:,25).*ALGEBRAIC(:,32).*(STATES(:,1) - CONSTANTS(:,70));
ALGEBRAIC(:,34) = - 0.681249./(1.00000+power(( STATES(:,2).*CONSTANTS(:,9) - 0.218988)./0.428335, 2.00000))+1.40001./(1.00000+power(( STATES(:,2).*CONSTANTS(:,9)+228.710)./684.946, 2.00000));
ALGEBRAIC(:,35) = 8540.23./(1.00000+power(( STATES(:,2).*CONSTANTS(:,9)+0.401189)./0.00399115, 0.668054)) - 109.275;
ALGEBRAIC(:,36) = 1.00000./(1.00000+exp(( - ALGEBRAIC(:,34).*CONSTANTS(:,65).*(STATES(:,1) - ALGEBRAIC(:,35)))./( CONSTANTS(:,64).*CONSTANTS(:,66))));
ALGEBRAIC(:,37) = CONSTANTS(:,22).*CONSTANTS(:,26).*ALGEBRAIC(:,36).*(STATES(:,1) - CONSTANTS(:,70));
ALGEBRAIC(:,38) = CONSTANTS(:,27).*STATES(:,8).*(STATES(:,1) - CONSTANTS(:,71));
ALGEBRAIC(:,12) = (( CONSTANTS(:,64).*CONSTANTS(:,66))./CONSTANTS(:,65)).*log(( CONSTANTS(:,29).*CONSTANTS(:,56)+ CONSTANTS(:,30).*CONSTANTS(:,57)+( 4.00000.*CONSTANTS(:,31).*CONSTANTS(:,12))./(1.00000+exp(ALGEBRAIC(:,7))))./( CONSTANTS(:,29).*CONSTANTS(:,51)+ CONSTANTS(:,30).*CONSTANTS(:,52)+( 4.00000.*CONSTANTS(:,31).*STATES(:,2))./(1.00000+exp(ALGEBRAIC(:,7)))));
ALGEBRAIC(:,40) = CONSTANTS(:,53).*CONSTANTS(:,60).*CONSTANTS(:,34).*CONSTANTS(:,28).*(STATES(:,1) - ALGEBRAIC(:,12));
ALGEBRAIC(:,39) = CONSTANTS(:,53).*CONSTANTS(:,54).*CONSTANTS(:,33).*CONSTANTS(:,28).*(STATES(:,1) - ALGEBRAIC(:,12));
ALGEBRAIC(:,42) = CONSTANTS(:,53).*CONSTANTS(:,58).*CONSTANTS(:,35).*CONSTANTS(:,28).*(STATES(:,1) - ALGEBRAIC(:,12));
ALGEBRAIC(:,44) = ALGEBRAIC(:,18)+ALGEBRAIC(:,23)+ALGEBRAIC(:,27)+ALGEBRAIC(:,38)+ALGEBRAIC(:,29)+ALGEBRAIC(:,33)+ALGEBRAIC(:,37)+ALGEBRAIC(:,40)+ALGEBRAIC(:,42)+ALGEBRAIC(:,39)+ALGEBRAIC(:,28);
RATES(:,1) = - (ALGEBRAIC(:,44)+ALGEBRAIC(:,1));
ALGEBRAIC(:,41) = ALGEBRAIC(:,23)+ALGEBRAIC(:,27)+ALGEBRAIC(:,39);
ALGEBRAIC(:,43) = (( CONSTANTS(:,62).*CONSTANTS(:,67).*CONSTANTS(:,61))./( CONSTANTS(:,63).*CONSTANTS(:,65))).*ALGEBRAIC(:,41);
ALGEBRAIC(:,48) = 1.00000./(1.00000+power(CONSTANTS(:,42)./STATES(:,2), CONSTANTS(:,43)));
ALGEBRAIC(:,45) = exp( (CONSTANTS(:,73) - 1.00000).*ALGEBRAIC(:,7));
ALGEBRAIC(:,47) = exp( CONSTANTS(:,73).*ALGEBRAIC(:,7));
ALGEBRAIC(:,49) = power(CONSTANTS(:,52), 3.00000).*CONSTANTS(:,12).*ALGEBRAIC(:,47) - power(CONSTANTS(:,57), 3.00000).*STATES(:,2).*ALGEBRAIC(:,45);
ALGEBRAIC(:,50) = 1.00000+ CONSTANTS(:,72).*ALGEBRAIC(:,45);
ALGEBRAIC(:,51) = CONSTANTS(:,47).*power(CONSTANTS(:,52), 3.00000)+ power(CONSTANTS(:,46), 3.00000).*STATES(:,2)+ power(CONSTANTS(:,44), 3.00000).*CONSTANTS(:,12).*(1.00000+STATES(:,2)./CONSTANTS(:,45));
ALGEBRAIC(:,52) = CONSTANTS(:,12).*power(CONSTANTS(:,52), 3.00000)+ power(CONSTANTS(:,57), 3.00000).*STATES(:,2)+ power(CONSTANTS(:,57), 3.00000).*CONSTANTS(:,45).*(1.00000+power(CONSTANTS(:,52)./CONSTANTS(:,44), 3.00000));
ALGEBRAIC(:,53) = ( CONSTANTS(:,11).*CONSTANTS(:,68).*ALGEBRAIC(:,48).*ALGEBRAIC(:,49))./( ALGEBRAIC(:,50).*(ALGEBRAIC(:,51)+ALGEBRAIC(:,52)));
ALGEBRAIC(:,54) = CONSTANTS(:,39)./(1.00000+power(CONSTANTS(:,40)./STATES(:,2), CONSTANTS(:,41)));
ALGEBRAIC(:,56) = ALGEBRAIC(:,43)+ALGEBRAIC(:,53)+ALGEBRAIC(:,54);
RATES(:,2) = - ALGEBRAIC(:,56);
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+power(( CONSTANTS(:,49).*CONSTANTS(:,6))./STATES(:,2), CONSTANTS(:,50)));
ALGEBRAIC(:,8) = 4000.00.*(0.234845+(1.00000 - 0.234845)./(1.00000+power(STATES(:,2)./( CONSTANTS(:,49).*CONSTANTS(:,6)), CONSTANTS(:,50))));
ALGEBRAIC(:,5) = 0.978613./(1.00000+exp( - (STATES(:,1)+18.6736)./26.6606));
ALGEBRAIC(:,9) = 500.000./(1.00000+power((STATES(:,1)+60.7100)./15.7900, 2.00000));
ALGEBRAIC(:,6) = 1.00000./(1.00000+exp((STATES(:,1)+63.0000)./6.30000));
ALGEBRAIC(:,10) = 5000.00./(1.00000+power((STATES(:,1)+62.7133)./35.8611, 2.00000));
ALGEBRAIC(:,11) = 30000.0+220000../(1.00000+exp((STATES(:,1)+22.0000)./4.00000));
ALGEBRAIC(:,7) = ( STATES(:,1).*CONSTANTS(:,65))./( CONSTANTS(:,64).*CONSTANTS(:,66));
ALGEBRAIC(:,13) = 0.000600000.*exp( 2.53000.*ALGEBRAIC(:,7));
ALGEBRAIC(:,15) = 0.100000.*exp( - 5.00000.*ALGEBRAIC(:,7));
ALGEBRAIC(:,17) = 1.00000./(1.00000+ ALGEBRAIC(:,15).*(power(ALGEBRAIC(:,13)./STATES(:,2), 2.00000)+ALGEBRAIC(:,13)./STATES(:,2)+1.00000));
ALGEBRAIC(:,19) = - 160.000+210.000./(1.00000+exp((STATES(:,1)+4.56000)./11.6200))+170.000./(1.00000+exp( - (STATES(:,1)+25.5000)./11.6200));
ALGEBRAIC(:,22) = 1.00000./(1.00000+exp((STATES(:,1)+38.0000)./7.00000));
ALGEBRAIC(:,24) = 90.9699.*(1.00000 - 1.00000./( (1.00000+exp((STATES(:,1)+13.9629)./45.3782)).*(1.00000+exp( - (STATES(:,1)+9.49866)./3.39450))));
ALGEBRAIC(:,1) = piecewise({VOI>CONSTANTS(:,3)&VOI<CONSTANTS(:,4), CONSTANTS(:,2) }, CONSTANTS(:,1));
ALGEBRAIC(:,14) = 1.00000./(1.00000+exp( - (STATES(:,1)+35.9584)./9.24013));
ALGEBRAIC(:,16) = 1.00000./(1.00000+exp((STATES(:,1)+57.0000)./8.00000));
ALGEBRAIC(:,18) = CONSTANTS(:,16).*ALGEBRAIC(:,14).*ALGEBRAIC(:,14).*ALGEBRAIC(:,14).*ALGEBRAIC(:,16).*(STATES(:,1) - CONSTANTS(:,69));
ALGEBRAIC(:,21) = 1.00000./(1.00000+exp( - (STATES(:,1)+22.0000)./7.00000));
ALGEBRAIC(:,20) = 1.00000./(1.00000+power(STATES(:,2)./CONSTANTS(:,19), 4.00000));
ALGEBRAIC(:,23) = CONSTANTS(:,17).*ALGEBRAIC(:,20).*ALGEBRAIC(:,21).*ALGEBRAIC(:,21).*( 0.800000.*ALGEBRAIC(:,22)+ 0.200000.*STATES(:,4)).*(STATES(:,1) - CONSTANTS(:,18));
ALGEBRAIC(:,25) = 1.00000./(1.00000+exp( - (STATES(:,1)+54.2300)./9.88000));
ALGEBRAIC(:,26) = 0.0200000+0.980000./(1.00000+exp((STATES(:,1)+72.9780)./4.64000));
ALGEBRAIC(:,27) = CONSTANTS(:,20).*ALGEBRAIC(:,25).*ALGEBRAIC(:,25).*ALGEBRAIC(:,26).*(STATES(:,1) - CONSTANTS(:,21));
ALGEBRAIC(:,28) = CONSTANTS(:,23).*(STATES(:,1) - CONSTANTS(:,70));
ALGEBRAIC(:,29) = CONSTANTS(:,24).*STATES(:,5).*STATES(:,5).*( 0.380000.*STATES(:,6)+ 0.630000.*STATES(:,7)).*(STATES(:,1) - CONSTANTS(:,70));
ALGEBRAIC(:,30) = - 0.749234./(1.00000+power(( STATES(:,2).*CONSTANTS(:,8) - 0.0630535)./0.161942, 2.00000))+8.38384./(1.00000+power(( STATES(:,2).*CONSTANTS(:,8)+1538.29)./739.057, 2.00000));
ALGEBRAIC(:,31) = 5011.47./(1.00000+power(( STATES(:,2).*CONSTANTS(:,8)+0.237503)./0.000239278, 0.422910)) - 37.5137;
ALGEBRAIC(:,32) = 1.00000./(1.00000+exp(( - ALGEBRAIC(:,30).*CONSTANTS(:,65).*(STATES(:,1) - ALGEBRAIC(:,31)))./( CONSTANTS(:,64).*CONSTANTS(:,66))));
ALGEBRAIC(:,33) = CONSTANTS(:,22).*CONSTANTS(:,25).*ALGEBRAIC(:,32).*(STATES(:,1) - CONSTANTS(:,70));
ALGEBRAIC(:,34) = - 0.681249./(1.00000+power(( STATES(:,2).*CONSTANTS(:,9) - 0.218988)./0.428335, 2.00000))+1.40001./(1.00000+power(( STATES(:,2).*CONSTANTS(:,9)+228.710)./684.946, 2.00000));
ALGEBRAIC(:,35) = 8540.23./(1.00000+power(( STATES(:,2).*CONSTANTS(:,9)+0.401189)./0.00399115, 0.668054)) - 109.275;
ALGEBRAIC(:,36) = 1.00000./(1.00000+exp(( - ALGEBRAIC(:,34).*CONSTANTS(:,65).*(STATES(:,1) - ALGEBRAIC(:,35)))./( CONSTANTS(:,64).*CONSTANTS(:,66))));
ALGEBRAIC(:,37) = CONSTANTS(:,22).*CONSTANTS(:,26).*ALGEBRAIC(:,36).*(STATES(:,1) - CONSTANTS(:,70));
ALGEBRAIC(:,38) = CONSTANTS(:,27).*STATES(:,8).*(STATES(:,1) - CONSTANTS(:,71));
ALGEBRAIC(:,12) = (( CONSTANTS(:,64).*CONSTANTS(:,66))./CONSTANTS(:,65)).*log(( CONSTANTS(:,29).*CONSTANTS(:,56)+ CONSTANTS(:,30).*CONSTANTS(:,57)+( 4.00000.*CONSTANTS(:,31).*CONSTANTS(:,12))./(1.00000+exp(ALGEBRAIC(:,7))))./( CONSTANTS(:,29).*CONSTANTS(:,51)+ CONSTANTS(:,30).*CONSTANTS(:,52)+( 4.00000.*CONSTANTS(:,31).*STATES(:,2))./(1.00000+exp(ALGEBRAIC(:,7)))));
ALGEBRAIC(:,40) = CONSTANTS(:,53).*CONSTANTS(:,60).*CONSTANTS(:,34).*CONSTANTS(:,28).*(STATES(:,1) - ALGEBRAIC(:,12));
ALGEBRAIC(:,39) = CONSTANTS(:,53).*CONSTANTS(:,54).*CONSTANTS(:,33).*CONSTANTS(:,28).*(STATES(:,1) - ALGEBRAIC(:,12));
ALGEBRAIC(:,42) = CONSTANTS(:,53).*CONSTANTS(:,58).*CONSTANTS(:,35).*CONSTANTS(:,28).*(STATES(:,1) - ALGEBRAIC(:,12));
ALGEBRAIC(:,44) = ALGEBRAIC(:,18)+ALGEBRAIC(:,23)+ALGEBRAIC(:,27)+ALGEBRAIC(:,38)+ALGEBRAIC(:,29)+ALGEBRAIC(:,33)+ALGEBRAIC(:,37)+ALGEBRAIC(:,40)+ALGEBRAIC(:,42)+ALGEBRAIC(:,39)+ALGEBRAIC(:,28);
ALGEBRAIC(:,41) = ALGEBRAIC(:,23)+ALGEBRAIC(:,27)+ALGEBRAIC(:,39);
ALGEBRAIC(:,43) = (( CONSTANTS(:,62).*CONSTANTS(:,67).*CONSTANTS(:,61))./( CONSTANTS(:,63).*CONSTANTS(:,65))).*ALGEBRAIC(:,41);
ALGEBRAIC(:,48) = 1.00000./(1.00000+power(CONSTANTS(:,42)./STATES(:,2), CONSTANTS(:,43)));
ALGEBRAIC(:,45) = exp( (CONSTANTS(:,73) - 1.00000).*ALGEBRAIC(:,7));
ALGEBRAIC(:,47) = exp( CONSTANTS(:,73).*ALGEBRAIC(:,7));
ALGEBRAIC(:,49) = power(CONSTANTS(:,52), 3.00000).*CONSTANTS(:,12).*ALGEBRAIC(:,47) - power(CONSTANTS(:,57), 3.00000).*STATES(:,2).*ALGEBRAIC(:,45);
ALGEBRAIC(:,50) = 1.00000+ CONSTANTS(:,72).*ALGEBRAIC(:,45);
ALGEBRAIC(:,51) = CONSTANTS(:,47).*power(CONSTANTS(:,52), 3.00000)+ power(CONSTANTS(:,46), 3.00000).*STATES(:,2)+ power(CONSTANTS(:,44), 3.00000).*CONSTANTS(:,12).*(1.00000+STATES(:,2)./CONSTANTS(:,45));
ALGEBRAIC(:,52) = CONSTANTS(:,12).*power(CONSTANTS(:,52), 3.00000)+ power(CONSTANTS(:,57), 3.00000).*STATES(:,2)+ power(CONSTANTS(:,57), 3.00000).*CONSTANTS(:,45).*(1.00000+power(CONSTANTS(:,52)./CONSTANTS(:,44), 3.00000));
ALGEBRAIC(:,53) = ( CONSTANTS(:,11).*CONSTANTS(:,68).*ALGEBRAIC(:,48).*ALGEBRAIC(:,49))./( ALGEBRAIC(:,50).*(ALGEBRAIC(:,51)+ALGEBRAIC(:,52)));
ALGEBRAIC(:,54) = CONSTANTS(:,39)./(1.00000+power(CONSTANTS(:,40)./STATES(:,2), CONSTANTS(:,41)));
ALGEBRAIC(:,56) = ALGEBRAIC(:,43)+ALGEBRAIC(:,53)+ALGEBRAIC(:,54);
ALGEBRAIC(:,3) = CONSTANTS(:,48).*(STATES(:,3) - 0.234500);
ALGEBRAIC(:,4) = 0.900000+1002.85./(1.00000+power((STATES(:,1)+47.5000)./1.50000, 2.00000));
ALGEBRAIC(:,46) = ALGEBRAIC(:,43).*CONSTANTS(:,5);
ALGEBRAIC(:,55) = ALGEBRAIC(:,53).*CONSTANTS(:,5);
ALGEBRAIC(:,57) = ALGEBRAIC(:,54).*CONSTANTS(:,5);
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