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 =67;
end
% There are a total of 18 entries in each of the rate and state variable arrays.
% There are a total of 68 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 (ms)');
LEGEND_CONSTANTS(:,1) = strpad('F in component Environment (C_per_mole)');
LEGEND_CONSTANTS(:,2) = strpad('R in component Environment (mJ_per_mole_K)');
LEGEND_CONSTANTS(:,3) = strpad('Temp in component Environment (kelvin)');
LEGEND_CONSTANTS(:,54) = strpad('FonRT in component Environment (per_mV)');
LEGEND_CONSTANTS(:,4) = strpad('K_o in component Environment (mM)');
LEGEND_CONSTANTS(:,5) = strpad('Na_o in component Environment (mM)');
LEGEND_CONSTANTS(:,6) = strpad('Ca_o in component Environment (mM)');
LEGEND_STATES(:,1) = strpad('V in component cell (mV)');
LEGEND_ALGEBRAIC(:,53) = strpad('ilca in component ICaL (uA_per_uF)');
LEGEND_ALGEBRAIC(:,63) = strpad('icab in component ICab (uA_per_uF)');
LEGEND_ALGEBRAIC(:,62) = strpad('ipca in component IpCa (uA_per_uF)');
LEGEND_ALGEBRAIC(:,60) = strpad('inaca in component INaCa (uA_per_uF)');
LEGEND_ALGEBRAIC(:,65) = strpad('icat in component ICaT (uA_per_uF)');
LEGEND_ALGEBRAIC(:,31) = strpad('ina in component INa (uA_per_uF)');
LEGEND_ALGEBRAIC(:,32) = strpad('inab in component INab (uA_per_uF)');
LEGEND_ALGEBRAIC(:,54) = strpad('ilcana in component ICaL (uA_per_uF)');
LEGEND_ALGEBRAIC(:,29) = strpad('inak in component INaK (uA_per_uF)');
LEGEND_ALGEBRAIC(:,38) = strpad('ikr in component IKr (uA_per_uF)');
LEGEND_ALGEBRAIC(:,58) = strpad('iks in component IKs (uA_per_uF)');
LEGEND_ALGEBRAIC(:,37) = strpad('IK1 in component IK1 (uA_per_uF)');
LEGEND_ALGEBRAIC(:,39) = strpad('ikp in component IKp (uA_per_uF)');
LEGEND_ALGEBRAIC(:,56) = strpad('ilcak in component ICaL (uA_per_uF)');
LEGEND_ALGEBRAIC(:,66) = strpad('caiont in component cell (uA_per_uF)');
LEGEND_ALGEBRAIC(:,61) = strpad('naiont in component cell (uA_per_uF)');
LEGEND_ALGEBRAIC(:,59) = strpad('kiont in component cell (uA_per_uF)');
LEGEND_CONSTANTS(:,7) = strpad('l in component cell (cm)');
LEGEND_CONSTANTS(:,8) = strpad('ra in component cell (cm)');
LEGEND_CONSTANTS(:,57) = strpad('vcell in component cell (uL)');
LEGEND_CONSTANTS(:,58) = strpad('ageo in component cell (cm2)');
LEGEND_CONSTANTS(:,62) = strpad('Acap in component cell (uF)');
LEGEND_CONSTANTS(:,66) = strpad('AF in component cell (uF_mole_per_C)');
LEGEND_CONSTANTS(:,63) = strpad('vmyo in component cell (uL)');
LEGEND_CONSTANTS(:,59) = strpad('vmito in component cell (uL)');
LEGEND_CONSTANTS(:,60) = strpad('vsr in component cell (uL)');
LEGEND_CONSTANTS(:,64) = strpad('vnsr in component cell (uL)');
LEGEND_CONSTANTS(:,65) = strpad('vjsr in component cell (uL)');
LEGEND_CONSTANTS(:,61) = strpad('vss in component cell (uL)');
LEGEND_ALGEBRAIC(:,10) = strpad('i_Stim in component cell (uA_per_uF)');
LEGEND_CONSTANTS(:,9) = strpad('stim_offset in component cell (ms)');
LEGEND_CONSTANTS(:,10) = strpad('stim_period in component cell (ms)');
LEGEND_CONSTANTS(:,11) = strpad('stim_duration in component cell (ms)');
LEGEND_CONSTANTS(:,12) = strpad('stim_amplitude in component cell (uA_per_uF)');
LEGEND_ALGEBRAIC(:,1) = strpad('past in component cell (ms)');
LEGEND_ALGEBRAIC(:,30) = strpad('ENa in component reversal_potentials (mV)');
LEGEND_STATES(:,2) = strpad('H in component INa (dimensionless)');
LEGEND_STATES(:,3) = strpad('m in component INa (dimensionless)');
LEGEND_STATES(:,4) = strpad('J in component INa (dimensionless)');
LEGEND_CONSTANTS(:,13) = strpad('GNa in component INa (mS_per_uF)');
LEGEND_ALGEBRAIC(:,2) = strpad('a in component INa (per_ms)');
LEGEND_ALGEBRAIC(:,11) = strpad('aH in component INa (per_ms)');
LEGEND_ALGEBRAIC(:,21) = strpad('bH in component INa (per_ms)');
LEGEND_ALGEBRAIC(:,12) = strpad('aj in component INa (per_ms)');
LEGEND_ALGEBRAIC(:,22) = strpad('bj in component INa (per_ms)');
LEGEND_ALGEBRAIC(:,3) = strpad('am in component INa (per_ms)');
LEGEND_ALGEBRAIC(:,13) = strpad('bm in component INa (per_ms)');
LEGEND_ALGEBRAIC(:,50) = strpad('Ca_i in component Ca (mM)');
LEGEND_STATES(:,5) = strpad('Na_i in component Na (mM)');
LEGEND_STATES(:,6) = strpad('K_i in component K (mM)');
LEGEND_STATES(:,7) = strpad('d in component ICaL (dimensionless)');
LEGEND_STATES(:,8) = strpad('f in component ICaL (dimensionless)');
LEGEND_ALGEBRAIC(:,4) = strpad('dss0 in component ICaL (dimensionless)');
LEGEND_ALGEBRAIC(:,14) = strpad('taud in component ICaL (ms)');
LEGEND_ALGEBRAIC(:,23) = strpad('dss1 in component ICaL (dimensionless)');
LEGEND_ALGEBRAIC(:,26) = strpad('dss in component ICaL (dimensionless)');
LEGEND_ALGEBRAIC(:,5) = strpad('fss in component ICaL (dimensionless)');
LEGEND_ALGEBRAIC(:,15) = strpad('tauf in component ICaL (ms)');
LEGEND_CONSTANTS(:,14) = strpad('gacai in component ICaL (dimensionless)');
LEGEND_CONSTANTS(:,15) = strpad('gacao in component ICaL (dimensionless)');
LEGEND_CONSTANTS(:,16) = strpad('kmca in component ICaL (mM)');
LEGEND_CONSTANTS(:,17) = strpad('pca in component ICaL (L_per_F_ms)');
LEGEND_CONSTANTS(:,18) = strpad('pna in component ICaL (L_per_F_ms)');
LEGEND_CONSTANTS(:,19) = strpad('ganai in component ICaL (dimensionless)');
LEGEND_CONSTANTS(:,20) = strpad('ganao in component ICaL (dimensionless)');
LEGEND_CONSTANTS(:,21) = strpad('pk in component ICaL (L_per_F_ms)');
LEGEND_CONSTANTS(:,22) = strpad('gaki in component ICaL (dimensionless)');
LEGEND_CONSTANTS(:,23) = strpad('gako in component ICaL (dimensionless)');
LEGEND_ALGEBRAIC(:,51) = strpad('ibarca in component ICaL (uA_per_uF)');
LEGEND_ALGEBRAIC(:,20) = strpad('ibarna in component ICaL (uA_per_uF)');
LEGEND_ALGEBRAIC(:,25) = strpad('ibark in component ICaL (uA_per_uF)');
LEGEND_ALGEBRAIC(:,52) = strpad('fca in component ICaL (dimensionless)');
LEGEND_ALGEBRAIC(:,33) = strpad('EK in component reversal_potentials (mV)');
LEGEND_CONSTANTS(:,24) = strpad('GK1max in component IK1 (mS_per_uF)');
LEGEND_CONSTANTS(:,55) = strpad('GK1_ in component IK1 (mS_per_uF)');
LEGEND_ALGEBRAIC(:,34) = strpad('ak1 in component IK1 (per_ms)');
LEGEND_ALGEBRAIC(:,35) = strpad('bk1 in component IK1 (per_ms)');
LEGEND_ALGEBRAIC(:,36) = strpad('gK1 in component IK1 (mS_per_uF)');
LEGEND_CONSTANTS(:,25) = strpad('gkrmax in component IKr (mS_per_uF)');
LEGEND_STATES(:,9) = strpad('xr in component IKr (dimensionless)');
LEGEND_ALGEBRAIC(:,27) = strpad('r in component IKr (dimensionless)');
LEGEND_ALGEBRAIC(:,6) = strpad('xrss in component IKr (dimensionless)');
LEGEND_ALGEBRAIC(:,16) = strpad('tauxr in component IKr (ms)');
LEGEND_ALGEBRAIC(:,40) = strpad('EKs in component reversal_potentials (mV)');
LEGEND_CONSTANTS(:,26) = strpad('GKsmax in component IKs (mS_per_uF)');
LEGEND_STATES(:,10) = strpad('xs1 in component IKs (dimensionless)');
LEGEND_STATES(:,11) = strpad('xs2 in component IKs (dimensionless)');
LEGEND_ALGEBRAIC(:,57) = strpad('gks in component IKs (mS_per_uF)');
LEGEND_ALGEBRAIC(:,7) = strpad('xss in component IKs (dimensionless)');
LEGEND_ALGEBRAIC(:,17) = strpad('tauxs in component IKs (ms)');
LEGEND_CONSTANTS(:,27) = strpad('kmnai in component INaK (mM)');
LEGEND_CONSTANTS(:,28) = strpad('kmko in component INaK (mM)');
LEGEND_CONSTANTS(:,29) = strpad('ibarnak in component INaK (uA_per_uF)');
LEGEND_ALGEBRAIC(:,28) = strpad('fnak in component INaK (dimensionless)');
LEGEND_CONSTANTS(:,56) = strpad('sigma in component INaK (dimensionless)');
LEGEND_CONSTANTS(:,30) = strpad('c1 in component INaCa (uA_per_uF)');
LEGEND_CONSTANTS(:,31) = strpad('c2 in component INaCa (dimensionless)');
LEGEND_CONSTANTS(:,32) = strpad('gammas in component INaCa (dimensionless)');
LEGEND_CONSTANTS(:,33) = strpad('GKpmax in component IKp (mS_per_uF)');
LEGEND_CONSTANTS(:,34) = strpad('ibarpca in component IpCa (uA_per_uF)');
LEGEND_CONSTANTS(:,35) = strpad('kmpca in component IpCa (mM)');
LEGEND_CONSTANTS(:,36) = strpad('gcab in component ICab (mS_per_uF)');
LEGEND_CONSTANTS(:,37) = strpad('GNab in component INab (mS_per_uF)');
LEGEND_ALGEBRAIC(:,64) = strpad('ECa in component reversal_potentials (mV)');
LEGEND_STATES(:,12) = strpad('b in component ICaT (dimensionless)');
LEGEND_STATES(:,13) = strpad('g in component ICaT (dimensionless)');
LEGEND_CONSTANTS(:,38) = strpad('gcat in component ICaT (mS_per_uF)');
LEGEND_ALGEBRAIC(:,8) = strpad('bss in component ICaT (dimensionless)');
LEGEND_ALGEBRAIC(:,18) = strpad('taub in component ICaT (ms)');
LEGEND_ALGEBRAIC(:,9) = strpad('gss in component ICaT (dimensionless)');
LEGEND_ALGEBRAIC(:,19) = strpad('aa in component ICaT (dimensionless)');
LEGEND_ALGEBRAIC(:,24) = strpad('taug in component ICaT (ms)');
LEGEND_CONSTANTS(:,39) = strpad('prnak in component reversal_potentials (dimensionless)');
LEGEND_STATES(:,14) = strpad('Ca_JSR_T in component Ca (mM)');
LEGEND_STATES(:,15) = strpad('Rel in component Irel (mM_per_ms)');
LEGEND_ALGEBRAIC(:,55) = strpad('Rel_ss in component Irel (mM_per_ms)');
LEGEND_ALGEBRAIC(:,44) = strpad('tau_Rel in component Irel (ms)');
LEGEND_CONSTANTS(:,40) = strpad('K_Relss in component Irel (mM)');
LEGEND_CONSTANTS(:,67) = strpad('alpha_Rel in component Irel (mM_per_mV)');
LEGEND_CONSTANTS(:,41) = strpad('tau in component Irel (ms)');
LEGEND_CONSTANTS(:,42) = strpad('kappa in component Irel (mM_per_mV_ms)');
LEGEND_CONSTANTS(:,43) = strpad('qn in component Irel (dimensionless)');
LEGEND_ALGEBRAIC(:,43) = strpad('Ca_JSR_free in component Irel (mM)');
LEGEND_ALGEBRAIC(:,41) = strpad('bbb in component Irel (mM)');
LEGEND_ALGEBRAIC(:,42) = strpad('c in component Irel (mM2)');
LEGEND_CONSTANTS(:,44) = strpad('kmcsqn in component Irel (mM)');
LEGEND_CONSTANTS(:,45) = strpad('csqnbar in component Irel (mM)');
LEGEND_STATES(:,16) = strpad('Ca_NSR in component Ca (mM)');
LEGEND_CONSTANTS(:,46) = strpad('kmup in component Iup_Ileak (mM)');
LEGEND_CONSTANTS(:,47) = strpad('iupbar in component Iup_Ileak (mM_per_ms)');
LEGEND_CONSTANTS(:,48) = strpad('nsrbar in component Iup_Ileak (mM)');
LEGEND_ALGEBRAIC(:,67) = strpad('iup in component Iup_Ileak (mM_per_ms)');
LEGEND_ALGEBRAIC(:,45) = strpad('ileak in component Iup_Ileak (mM_per_ms)');
LEGEND_CONSTANTS(:,49) = strpad('tautr in component Itr (ms)');
LEGEND_ALGEBRAIC(:,46) = strpad('itr in component Itr (mM_per_ms)');
LEGEND_STATES(:,17) = strpad('Ca_T in component Ca (mM)');
LEGEND_STATES(:,18) = strpad('Over in component Ca (dimensionless)');
LEGEND_CONSTANTS(:,50) = strpad('cmdnbar in component Ca (mM)');
LEGEND_CONSTANTS(:,51) = strpad('trpnbar in component Ca (mM)');
LEGEND_CONSTANTS(:,52) = strpad('kmcmdn in component Ca (mM)');
LEGEND_CONSTANTS(:,53) = strpad('kmtrpn in component Ca (mM)');
LEGEND_ALGEBRAIC(:,47) = strpad('bmyo in component Ca (mM)');
LEGEND_ALGEBRAIC(:,48) = strpad('cmyo in component Ca (mM2)');
LEGEND_ALGEBRAIC(:,49) = strpad('dmyo in component Ca (mM3)');
LEGEND_RATES(:,1) = strpad('d/dt V in component cell (mV)');
LEGEND_RATES(:,2) = strpad('d/dt H in component INa (dimensionless)');
LEGEND_RATES(:,3) = strpad('d/dt m in component INa (dimensionless)');
LEGEND_RATES(:,4) = strpad('d/dt J in component INa (dimensionless)');
LEGEND_RATES(:,7) = strpad('d/dt d in component ICaL (dimensionless)');
LEGEND_RATES(:,8) = strpad('d/dt f in component ICaL (dimensionless)');
LEGEND_RATES(:,9) = strpad('d/dt xr in component IKr (dimensionless)');
LEGEND_RATES(:,10) = strpad('d/dt xs1 in component IKs (dimensionless)');
LEGEND_RATES(:,11) = strpad('d/dt xs2 in component IKs (dimensionless)');
LEGEND_RATES(:,12) = strpad('d/dt b in component ICaT (dimensionless)');
LEGEND_RATES(:,13) = strpad('d/dt g in component ICaT (dimensionless)');
LEGEND_RATES(:,15) = strpad('d/dt Rel in component Irel (mM_per_ms)');
LEGEND_RATES(:,5) = strpad('d/dt Na_i in component Na (mM)');
LEGEND_RATES(:,6) = strpad('d/dt K_i in component K (mM)');
LEGEND_RATES(:,18) = strpad('d/dt Over in component Ca (dimensionless)');
LEGEND_RATES(:,17) = strpad('d/dt Ca_T in component Ca (mM)');
LEGEND_RATES(:,16) = strpad('d/dt Ca_NSR in component Ca (mM)');
LEGEND_RATES(:,14) = strpad('d/dt Ca_JSR_T in component Ca (mM)');
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) = 96485;
CONSTANTS(:,2) = 8314;
CONSTANTS(:,3) = 310;
CONSTANTS(:,4) = 4.5;
CONSTANTS(:,5) = 140;
CONSTANTS(:,6) = 1.8;
STATES(:,1) = -89.4356034692784;
CONSTANTS(:,7) = 0.01;
CONSTANTS(:,8) = 0.0011;
CONSTANTS(:,9) = 0;
CONSTANTS(:,10) = 400;
CONSTANTS(:,11) = 3;
CONSTANTS(:,12) = -15;
STATES(:,2) = 0.994401369032678;
STATES(:,3) = 0.000734780346592185;
STATES(:,4) = 0.996100688673679;
CONSTANTS(:,13) = 16;
STATES(:,5) = 16.612739313555;
STATES(:,6) = 139.730914103161;
STATES(:,7) = 3.2514786721066e-27;
STATES(:,8) = 0.997404948824816;
CONSTANTS(:,14) = 1;
CONSTANTS(:,15) = 0.341;
CONSTANTS(:,16) = 0.0006;
CONSTANTS(:,17) = 0.00054;
CONSTANTS(:,18) = 6.75e-7;
CONSTANTS(:,19) = 0.75;
CONSTANTS(:,20) = 0.75;
CONSTANTS(:,21) = 1.93e-7;
CONSTANTS(:,22) = 0.75;
CONSTANTS(:,23) = 0.75;
CONSTANTS(:,24) = 0.75;
CONSTANTS(:,25) = 0.02614;
STATES(:,9) = 0.000162194715543637;
CONSTANTS(:,26) = 0.433;
STATES(:,10) = 0.0285147332973946;
STATES(:,11) = 0.0764114040188678;
CONSTANTS(:,27) = 10;
CONSTANTS(:,28) = 1.5;
CONSTANTS(:,29) = 2.25;
CONSTANTS(:,30) = 0.00025;
CONSTANTS(:,31) = 0.0001;
CONSTANTS(:,32) = 0.15;
CONSTANTS(:,33) = 0.00552;
CONSTANTS(:,34) = 1.15;
CONSTANTS(:,35) = 0.0005;
CONSTANTS(:,36) = 0.003016;
CONSTANTS(:,37) = 0.004;
STATES(:,12) = 0.000927461915392873;
STATES(:,13) = 0.952834331760863;
CONSTANTS(:,38) = 0.05;
CONSTANTS(:,39) = 0.01833;
STATES(:,14) = 7.87371650296567;
STATES(:,15) = 1.06874246141923e-23;
CONSTANTS(:,40) = 1;
CONSTANTS(:,41) = 4.75;
CONSTANTS(:,42) = 0.125;
CONSTANTS(:,43) = 9;
CONSTANTS(:,44) = 0.8;
CONSTANTS(:,45) = 10;
STATES(:,16) = 2.71518235696672;
CONSTANTS(:,46) = 0.00092;
CONSTANTS(:,47) = 0.00875;
CONSTANTS(:,48) = 15;
CONSTANTS(:,49) = 120;
STATES(:,17) = 0.0257059808595638;
STATES(:,18) = 1e-12;
CONSTANTS(:,50) = 0.05;
CONSTANTS(:,51) = 0.07;
CONSTANTS(:,52) = 0.00238;
CONSTANTS(:,53) = 0.0005;
CONSTANTS(:,54) = (CONSTANTS(:,1)./CONSTANTS(:,3))./CONSTANTS(:,2);
CONSTANTS(:,55) = CONSTANTS(:,24).*power((CONSTANTS(:,4)./5.40000), 1.0 ./ 2);
CONSTANTS(:,56) = (exp(CONSTANTS(:,5)./67.3000) - 1.00000)./7.00000;
CONSTANTS(:,67) = 0.00000;
CONSTANTS(:,57) = 1000.00.* pi.*CONSTANTS(:,8).*CONSTANTS(:,8).*CONSTANTS(:,7);
CONSTANTS(:,58) = 2.00000.* pi.*CONSTANTS(:,8).*CONSTANTS(:,8)+ 2.00000.* pi.*CONSTANTS(:,8).*CONSTANTS(:,7);
CONSTANTS(:,59) = CONSTANTS(:,57).*0.240000;
CONSTANTS(:,60) = CONSTANTS(:,57).*0.0600000;
CONSTANTS(:,61) = CONSTANTS(:,57).*0.0200000;
CONSTANTS(:,62) = CONSTANTS(:,58).*2.00000;
CONSTANTS(:,63) = CONSTANTS(:,57).*0.680000;
CONSTANTS(:,64) = CONSTANTS(:,57).*0.0552000;
CONSTANTS(:,65) = CONSTANTS(:,57).*0.00480000;
CONSTANTS(:,66) = CONSTANTS(:,62)./CONSTANTS(:,1);
CONSTANTS(:,67) = CONSTANTS(:,41).*CONSTANTS(:,42);
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(:,18) = CONSTANTS(:,67);
ALGEBRAIC(:,3) = ( 0.320000.*1.00000.*(STATES(:,1)+47.1300))./(1.00000 - exp( - 0.100000.*(STATES(:,1)+47.1300)));
ALGEBRAIC(:,13) = 0.0800000.*exp( - STATES(:,1)./11.0000);
RATES(:,3) = ALGEBRAIC(:,3).*(1.00000 - STATES(:,3)) - ALGEBRAIC(:,13).*STATES(:,3);
ALGEBRAIC(:,5) = 1.00000./(1.00000+exp((STATES(:,1)+32.0000)./8.00000))+0.600000./(1.00000+exp((50.0000 - STATES(:,1))./20.0000));
ALGEBRAIC(:,15) = 1.00000./( 0.0197000.*exp( - power( 0.0337000.*(STATES(:,1)+10.0000), 2.00000))+0.0200000);
RATES(:,8) = (ALGEBRAIC(:,5) - STATES(:,8))./ALGEBRAIC(:,15);
ALGEBRAIC(:,6) = 1.00000./(1.00000+exp( - (STATES(:,1)+10.0850)./4.25000));
ALGEBRAIC(:,16) = 1.00000./(( 0.00138000.*(STATES(:,1)+14.2000))./(1.00000 - exp( - 0.123000.*(STATES(:,1)+14.2000)))+( 0.000610000.*(STATES(:,1)+38.9000))./(exp( 0.145000.*(STATES(:,1)+38.9000)) - 1.00000));
RATES(:,9) = (ALGEBRAIC(:,6) - STATES(:,9))./ALGEBRAIC(:,16);
ALGEBRAIC(:,7) = 1.00000./(1.00000+exp( - (STATES(:,1) - 1.50000)./16.7000));
ALGEBRAIC(:,17) = 1.00000./(( 7.19000e-05.*(STATES(:,1)+30.0000))./(1.00000 - exp( - 0.148000.*(STATES(:,1)+30.0000)))+( 0.000131000.*(STATES(:,1)+30.0000))./(exp( 0.0687000.*(STATES(:,1)+30.0000)) - 1.00000));
RATES(:,10) = (ALGEBRAIC(:,7) - STATES(:,10))./ALGEBRAIC(:,17);
RATES(:,11) = ((ALGEBRAIC(:,7) - STATES(:,11))./ALGEBRAIC(:,17))./4.00000;
ALGEBRAIC(:,8) = 1.00000./(1.00000+exp( - (STATES(:,1)+14.0000)./10.8000));
ALGEBRAIC(:,18) = 3.70000+6.10000./(1.00000+exp((STATES(:,1)+25.0000)./4.50000));
RATES(:,12) = (ALGEBRAIC(:,8) - STATES(:,12))./ALGEBRAIC(:,18);
ALGEBRAIC(:,2) = 1.00000 - 1.00000./(1.00000+exp( - (STATES(:,1)+40.0000)./0.0240000));
ALGEBRAIC(:,11) = ALGEBRAIC(:,2).*0.135000.*exp((80.0000+STATES(:,1))./ - 6.80000);
ALGEBRAIC(:,21) = (1.00000 - ALGEBRAIC(:,2))./( 0.130000.*(1.00000+exp((STATES(:,1)+10.6600)./ - 11.1000)))+ ALGEBRAIC(:,2).*( 3.56000.*exp( 0.0790000.*STATES(:,1))+ 3.10000.*100000..*exp( 0.350000.*STATES(:,1)));
RATES(:,2) = ALGEBRAIC(:,11).*(1.00000 - STATES(:,2)) - ALGEBRAIC(:,21).*STATES(:,2);
ALGEBRAIC(:,12) = ( ALGEBRAIC(:,2).*( - 127140..*exp( 0.244400.*STATES(:,1)) - 3.47400e-05.*exp( - 0.0439100.*STATES(:,1))).*1.00000.*(STATES(:,1)+37.7800))./(1.00000+exp( 0.311000.*(STATES(:,1)+79.2300)));
ALGEBRAIC(:,22) = ( (1.00000 - ALGEBRAIC(:,2)).*0.300000.*exp( - 2.53500e-07.*STATES(:,1)))./(1.00000+exp( - 0.100000.*(STATES(:,1)+32.0000)))+( ALGEBRAIC(:,2).*0.121200.*exp( - 0.0105200.*STATES(:,1)))./(1.00000+exp( - 0.137800.*(STATES(:,1)+40.1400)));
RATES(:,4) = ALGEBRAIC(:,12).*(1.00000 - STATES(:,4)) - ALGEBRAIC(:,22).*STATES(:,4);
ALGEBRAIC(:,9) = 1.00000./(1.00000+exp((STATES(:,1)+60.0000)./5.60000));
ALGEBRAIC(:,19) = 1.00000 - 1.00000./(1.00000+exp( - STATES(:,1)./0.00240000));
ALGEBRAIC(:,24) = ALGEBRAIC(:,19).*1.00000.*( - 0.875000.*STATES(:,1)+12.0000)+ 12.0000.*(1.00000 - ALGEBRAIC(:,19));
RATES(:,13) = (ALGEBRAIC(:,9) - STATES(:,13))./ALGEBRAIC(:,24);
ALGEBRAIC(:,4) = 1.00000./(1.00000+exp( - (STATES(:,1)+10.0000)./6.24000));
ALGEBRAIC(:,14) = ( ALGEBRAIC(:,4).*1.00000.*(1.00000 - exp( - (STATES(:,1)+10.0000)./6.24000)))./( 0.0350000.*(STATES(:,1)+10.0000));
ALGEBRAIC(:,23) = 1.00000./(1.00000+exp( - (STATES(:,1)+60.0000)./0.0240000));
ALGEBRAIC(:,26) = ALGEBRAIC(:,4).*ALGEBRAIC(:,23);
RATES(:,7) = (ALGEBRAIC(:,26) - STATES(:,7))./ALGEBRAIC(:,14);
ALGEBRAIC(:,41) = (CONSTANTS(:,45)+CONSTANTS(:,44)) - STATES(:,14);
ALGEBRAIC(:,42) = STATES(:,14).*CONSTANTS(:,44);
ALGEBRAIC(:,43) = - ALGEBRAIC(:,41)./2.00000+power((power(ALGEBRAIC(:,41), 2.00000)+ 4.00000.*ALGEBRAIC(:,42)), 1.0 ./ 2)./2.00000;
ALGEBRAIC(:,46) = (STATES(:,16) - ALGEBRAIC(:,43))./CONSTANTS(:,49);
RATES(:,14) = ALGEBRAIC(:,46) - STATES(:,15);
ALGEBRAIC(:,47) = ((CONSTANTS(:,50)+CONSTANTS(:,51)) - STATES(:,17))+CONSTANTS(:,53)+CONSTANTS(:,52);
ALGEBRAIC(:,48) = ( CONSTANTS(:,52).*CONSTANTS(:,53) - STATES(:,17).*(CONSTANTS(:,53)+CONSTANTS(:,52)))+ CONSTANTS(:,51).*CONSTANTS(:,52)+ CONSTANTS(:,50).*CONSTANTS(:,53);
ALGEBRAIC(:,49) = - CONSTANTS(:,53).*CONSTANTS(:,52).*STATES(:,17);
ALGEBRAIC(:,50) = (( 2.00000.*power(( ALGEBRAIC(:,47).*ALGEBRAIC(:,47) - 3.00000.*ALGEBRAIC(:,48)), 1.0 ./ 2))./3.00000).*cos(acos((( 9.00000.*ALGEBRAIC(:,47).*ALGEBRAIC(:,48) - 2.00000.*ALGEBRAIC(:,47).*ALGEBRAIC(:,47).*ALGEBRAIC(:,47)) - 27.0000.*ALGEBRAIC(:,49))./( 2.00000.*power( ALGEBRAIC(:,47).*ALGEBRAIC(:,47) - 3.00000.*ALGEBRAIC(:,48), 1.50000)))./3.00000) - ALGEBRAIC(:,47)./3.00000;
ALGEBRAIC(:,51) = ( CONSTANTS(:,17).*4.00000.*STATES(:,1).*CONSTANTS(:,1).*CONSTANTS(:,54).*( CONSTANTS(:,14).*ALGEBRAIC(:,50).*exp( 2.00000.*STATES(:,1).*CONSTANTS(:,54)) - CONSTANTS(:,15).*CONSTANTS(:,6)))./(exp( 2.00000.*STATES(:,1).*CONSTANTS(:,54)) - 1.00000);
ALGEBRAIC(:,52) = 1.00000./(1.00000+ALGEBRAIC(:,50)./CONSTANTS(:,16));
ALGEBRAIC(:,53) = STATES(:,7).*STATES(:,8).*ALGEBRAIC(:,52).*ALGEBRAIC(:,51);
ALGEBRAIC(:,55) = ( ALGEBRAIC(:,53).*CONSTANTS(:,67))./(1.00000+power(CONSTANTS(:,40)./ALGEBRAIC(:,43), CONSTANTS(:,43)));
ALGEBRAIC(:,44) = CONSTANTS(:,41)./(1.00000+0.0123000./ALGEBRAIC(:,43));
RATES(:,15) = - (ALGEBRAIC(:,55)+STATES(:,15))./ALGEBRAIC(:,44);
ALGEBRAIC(:,28) = 1.00000./(1.00000+ 0.124500.*exp( - 0.100000.*STATES(:,1).*CONSTANTS(:,54))+ 0.0365000.*CONSTANTS(:,56).*exp( - STATES(:,1).*CONSTANTS(:,54)));
ALGEBRAIC(:,29) = (( CONSTANTS(:,29).*ALGEBRAIC(:,28))./(1.00000+power(CONSTANTS(:,27)./STATES(:,5), 2.00000)))./(1.00000+CONSTANTS(:,28)./CONSTANTS(:,4));
ALGEBRAIC(:,33) = log(CONSTANTS(:,4)./STATES(:,6))./CONSTANTS(:,54);
ALGEBRAIC(:,27) = 1.00000./(1.00000+exp((STATES(:,1)+9.00000)./22.4000));
ALGEBRAIC(:,38) = CONSTANTS(:,25).*power((CONSTANTS(:,4)./5.40000), 1.0 ./ 2).*STATES(:,9).*ALGEBRAIC(:,27).*(STATES(:,1) - ALGEBRAIC(:,33));
ALGEBRAIC(:,40) = log((CONSTANTS(:,4)+ CONSTANTS(:,39).*CONSTANTS(:,5))./(STATES(:,6)+ CONSTANTS(:,39).*STATES(:,5)))./CONSTANTS(:,54);
ALGEBRAIC(:,57) = CONSTANTS(:,26).*(1.00000+0.600000./(1.00000+power(3.80000e-05./ALGEBRAIC(:,50), 1.40000)));
ALGEBRAIC(:,58) = ALGEBRAIC(:,57).*STATES(:,10).*STATES(:,11).*(STATES(:,1) - ALGEBRAIC(:,40));
ALGEBRAIC(:,34) = 1.02000./(1.00000+exp( 0.238500.*((STATES(:,1) - ALGEBRAIC(:,33)) - 59.2150)));
ALGEBRAIC(:,35) = ( 0.491240.*exp( 0.0803200.*((STATES(:,1) - ALGEBRAIC(:,33))+5.47600))+ 1.00000.*exp( 0.0617500.*((STATES(:,1) - ALGEBRAIC(:,33)) - 594.310)))./(1.00000+exp( - 0.514300.*((STATES(:,1) - ALGEBRAIC(:,33))+4.75300)));
ALGEBRAIC(:,36) = ( CONSTANTS(:,55).*ALGEBRAIC(:,34))./(ALGEBRAIC(:,34)+ALGEBRAIC(:,35));
ALGEBRAIC(:,37) = ALGEBRAIC(:,36).*(STATES(:,1) - ALGEBRAIC(:,33));
ALGEBRAIC(:,39) = ( CONSTANTS(:,33).*(STATES(:,1) - ALGEBRAIC(:,33)))./(1.00000+exp((7.48800 - STATES(:,1))./5.98000));
ALGEBRAIC(:,25) = ( CONSTANTS(:,21).*STATES(:,1).*CONSTANTS(:,1).*CONSTANTS(:,54).*( CONSTANTS(:,22).*STATES(:,6).*exp( STATES(:,1).*CONSTANTS(:,54)) - CONSTANTS(:,23).*CONSTANTS(:,4)))./(exp( STATES(:,1).*CONSTANTS(:,54)) - 1.00000);
ALGEBRAIC(:,56) = STATES(:,7).*STATES(:,8).*ALGEBRAIC(:,52).*ALGEBRAIC(:,25);
ALGEBRAIC(:,1) = floor(VOI./CONSTANTS(:,10)).*CONSTANTS(:,10);
ALGEBRAIC(:,10) = piecewise({VOI - ALGEBRAIC(:,1)>=CONSTANTS(:,9)&VOI - ALGEBRAIC(:,1)<=CONSTANTS(:,9)+CONSTANTS(:,11), CONSTANTS(:,12) }, 0.00000);
ALGEBRAIC(:,59) = ((ALGEBRAIC(:,38)+ALGEBRAIC(:,58)+ALGEBRAIC(:,37)+ALGEBRAIC(:,39)+ALGEBRAIC(:,56)) - 2.00000.*ALGEBRAIC(:,29))+ALGEBRAIC(:,10);
RATES(:,6) = ( - ALGEBRAIC(:,59).*CONSTANTS(:,66))./CONSTANTS(:,63);
ALGEBRAIC(:,60) = ( CONSTANTS(:,30).*exp( (CONSTANTS(:,32) - 1.00000).*STATES(:,1).*CONSTANTS(:,54)).*( exp( STATES(:,1).*CONSTANTS(:,54)).*power(STATES(:,5), 3.00000).*CONSTANTS(:,6) - power(CONSTANTS(:,5), 3.00000).*ALGEBRAIC(:,50)))./(1.00000+ CONSTANTS(:,31).*exp( (CONSTANTS(:,32) - 1.00000).*STATES(:,1).*CONSTANTS(:,54)).*( exp( STATES(:,1).*CONSTANTS(:,54)).*power(STATES(:,5), 3.00000).*CONSTANTS(:,6)+ power(CONSTANTS(:,5), 3.00000).*ALGEBRAIC(:,50)));
ALGEBRAIC(:,30) = log(CONSTANTS(:,5)./STATES(:,5))./CONSTANTS(:,54);
ALGEBRAIC(:,31) = CONSTANTS(:,13).*STATES(:,3).*STATES(:,3).*STATES(:,3).*STATES(:,2).*STATES(:,4).*(STATES(:,1) - ALGEBRAIC(:,30));
ALGEBRAIC(:,32) = CONSTANTS(:,37).*(STATES(:,1) - ALGEBRAIC(:,30));
ALGEBRAIC(:,20) = ( CONSTANTS(:,18).*STATES(:,1).*CONSTANTS(:,1).*CONSTANTS(:,54).*( CONSTANTS(:,19).*STATES(:,5).*exp( STATES(:,1).*CONSTANTS(:,54)) - CONSTANTS(:,20).*CONSTANTS(:,5)))./(exp( STATES(:,1).*CONSTANTS(:,54)) - 1.00000);
ALGEBRAIC(:,54) = STATES(:,7).*STATES(:,8).*ALGEBRAIC(:,52).*ALGEBRAIC(:,20);
ALGEBRAIC(:,61) = ALGEBRAIC(:,31)+ALGEBRAIC(:,32)+ 3.00000.*ALGEBRAIC(:,60)+ALGEBRAIC(:,54)+ 3.00000.*ALGEBRAIC(:,29);
RATES(:,5) = ( - ALGEBRAIC(:,61).*CONSTANTS(:,66))./CONSTANTS(:,63);
ALGEBRAIC(:,63) = CONSTANTS(:,36).*(STATES(:,1) - log(CONSTANTS(:,6)./ALGEBRAIC(:,50))./( 2.00000.*CONSTANTS(:,54)));
ALGEBRAIC(:,62) = ( CONSTANTS(:,34).*ALGEBRAIC(:,50))./(CONSTANTS(:,35)+ALGEBRAIC(:,50));
ALGEBRAIC(:,64) = (log(CONSTANTS(:,6)./ALGEBRAIC(:,50))./2.00000)./CONSTANTS(:,54);
ALGEBRAIC(:,65) = CONSTANTS(:,38).*STATES(:,12).*STATES(:,12).*STATES(:,13).*(STATES(:,1) - ALGEBRAIC(:,64));
ALGEBRAIC(:,66) = ((ALGEBRAIC(:,53)+ALGEBRAIC(:,63)+ALGEBRAIC(:,62)) - 2.00000.*ALGEBRAIC(:,60))+ALGEBRAIC(:,65);
RATES(:,1) = - (ALGEBRAIC(:,61)+ALGEBRAIC(:,59)+ALGEBRAIC(:,66));
ALGEBRAIC(:,67) = ( CONSTANTS(:,47).*ALGEBRAIC(:,50))./(ALGEBRAIC(:,50)+CONSTANTS(:,46));
ALGEBRAIC(:,45) = ( CONSTANTS(:,47).*STATES(:,16))./CONSTANTS(:,48);
RATES(:,17) = ( - ALGEBRAIC(:,66).*CONSTANTS(:,66))./( CONSTANTS(:,63).*2.00000)+( (ALGEBRAIC(:,45) - ALGEBRAIC(:,67)).*CONSTANTS(:,64))./CONSTANTS(:,63)+( STATES(:,15).*CONSTANTS(:,65))./CONSTANTS(:,63);
RATES(:,16) = (ALGEBRAIC(:,67) - ( ALGEBRAIC(:,46).*CONSTANTS(:,65))./CONSTANTS(:,64)) - ALGEBRAIC(:,45);
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) = ( 0.320000.*1.00000.*(STATES(:,1)+47.1300))./(1.00000 - exp( - 0.100000.*(STATES(:,1)+47.1300)));
ALGEBRAIC(:,13) = 0.0800000.*exp( - STATES(:,1)./11.0000);
ALGEBRAIC(:,5) = 1.00000./(1.00000+exp((STATES(:,1)+32.0000)./8.00000))+0.600000./(1.00000+exp((50.0000 - STATES(:,1))./20.0000));
ALGEBRAIC(:,15) = 1.00000./( 0.0197000.*exp( - power( 0.0337000.*(STATES(:,1)+10.0000), 2.00000))+0.0200000);
ALGEBRAIC(:,6) = 1.00000./(1.00000+exp( - (STATES(:,1)+10.0850)./4.25000));
ALGEBRAIC(:,16) = 1.00000./(( 0.00138000.*(STATES(:,1)+14.2000))./(1.00000 - exp( - 0.123000.*(STATES(:,1)+14.2000)))+( 0.000610000.*(STATES(:,1)+38.9000))./(exp( 0.145000.*(STATES(:,1)+38.9000)) - 1.00000));
ALGEBRAIC(:,7) = 1.00000./(1.00000+exp( - (STATES(:,1) - 1.50000)./16.7000));
ALGEBRAIC(:,17) = 1.00000./(( 7.19000e-05.*(STATES(:,1)+30.0000))./(1.00000 - exp( - 0.148000.*(STATES(:,1)+30.0000)))+( 0.000131000.*(STATES(:,1)+30.0000))./(exp( 0.0687000.*(STATES(:,1)+30.0000)) - 1.00000));
ALGEBRAIC(:,8) = 1.00000./(1.00000+exp( - (STATES(:,1)+14.0000)./10.8000));
ALGEBRAIC(:,18) = 3.70000+6.10000./(1.00000+exp((STATES(:,1)+25.0000)./4.50000));
ALGEBRAIC(:,2) = 1.00000 - 1.00000./(1.00000+exp( - (STATES(:,1)+40.0000)./0.0240000));
ALGEBRAIC(:,11) = ALGEBRAIC(:,2).*0.135000.*exp((80.0000+STATES(:,1))./ - 6.80000);
ALGEBRAIC(:,21) = (1.00000 - ALGEBRAIC(:,2))./( 0.130000.*(1.00000+exp((STATES(:,1)+10.6600)./ - 11.1000)))+ ALGEBRAIC(:,2).*( 3.56000.*exp( 0.0790000.*STATES(:,1))+ 3.10000.*100000..*exp( 0.350000.*STATES(:,1)));
ALGEBRAIC(:,12) = ( ALGEBRAIC(:,2).*( - 127140..*exp( 0.244400.*STATES(:,1)) - 3.47400e-05.*exp( - 0.0439100.*STATES(:,1))).*1.00000.*(STATES(:,1)+37.7800))./(1.00000+exp( 0.311000.*(STATES(:,1)+79.2300)));
ALGEBRAIC(:,22) = ( (1.00000 - ALGEBRAIC(:,2)).*0.300000.*exp( - 2.53500e-07.*STATES(:,1)))./(1.00000+exp( - 0.100000.*(STATES(:,1)+32.0000)))+( ALGEBRAIC(:,2).*0.121200.*exp( - 0.0105200.*STATES(:,1)))./(1.00000+exp( - 0.137800.*(STATES(:,1)+40.1400)));
ALGEBRAIC(:,9) = 1.00000./(1.00000+exp((STATES(:,1)+60.0000)./5.60000));
ALGEBRAIC(:,19) = 1.00000 - 1.00000./(1.00000+exp( - STATES(:,1)./0.00240000));
ALGEBRAIC(:,24) = ALGEBRAIC(:,19).*1.00000.*( - 0.875000.*STATES(:,1)+12.0000)+ 12.0000.*(1.00000 - ALGEBRAIC(:,19));
ALGEBRAIC(:,4) = 1.00000./(1.00000+exp( - (STATES(:,1)+10.0000)./6.24000));
ALGEBRAIC(:,14) = ( ALGEBRAIC(:,4).*1.00000.*(1.00000 - exp( - (STATES(:,1)+10.0000)./6.24000)))./( 0.0350000.*(STATES(:,1)+10.0000));
ALGEBRAIC(:,23) = 1.00000./(1.00000+exp( - (STATES(:,1)+60.0000)./0.0240000));
ALGEBRAIC(:,26) = ALGEBRAIC(:,4).*ALGEBRAIC(:,23);
ALGEBRAIC(:,41) = (CONSTANTS(:,45)+CONSTANTS(:,44)) - STATES(:,14);
ALGEBRAIC(:,42) = STATES(:,14).*CONSTANTS(:,44);
ALGEBRAIC(:,43) = - ALGEBRAIC(:,41)./2.00000+power((power(ALGEBRAIC(:,41), 2.00000)+ 4.00000.*ALGEBRAIC(:,42)), 1.0 ./ 2)./2.00000;
ALGEBRAIC(:,46) = (STATES(:,16) - ALGEBRAIC(:,43))./CONSTANTS(:,49);
ALGEBRAIC(:,47) = ((CONSTANTS(:,50)+CONSTANTS(:,51)) - STATES(:,17))+CONSTANTS(:,53)+CONSTANTS(:,52);
ALGEBRAIC(:,48) = ( CONSTANTS(:,52).*CONSTANTS(:,53) - STATES(:,17).*(CONSTANTS(:,53)+CONSTANTS(:,52)))+ CONSTANTS(:,51).*CONSTANTS(:,52)+ CONSTANTS(:,50).*CONSTANTS(:,53);
ALGEBRAIC(:,49) = - CONSTANTS(:,53).*CONSTANTS(:,52).*STATES(:,17);
ALGEBRAIC(:,50) = (( 2.00000.*power(( ALGEBRAIC(:,47).*ALGEBRAIC(:,47) - 3.00000.*ALGEBRAIC(:,48)), 1.0 ./ 2))./3.00000).*cos(acos((( 9.00000.*ALGEBRAIC(:,47).*ALGEBRAIC(:,48) - 2.00000.*ALGEBRAIC(:,47).*ALGEBRAIC(:,47).*ALGEBRAIC(:,47)) - 27.0000.*ALGEBRAIC(:,49))./( 2.00000.*power( ALGEBRAIC(:,47).*ALGEBRAIC(:,47) - 3.00000.*ALGEBRAIC(:,48), 1.50000)))./3.00000) - ALGEBRAIC(:,47)./3.00000;
ALGEBRAIC(:,51) = ( CONSTANTS(:,17).*4.00000.*STATES(:,1).*CONSTANTS(:,1).*CONSTANTS(:,54).*( CONSTANTS(:,14).*ALGEBRAIC(:,50).*exp( 2.00000.*STATES(:,1).*CONSTANTS(:,54)) - CONSTANTS(:,15).*CONSTANTS(:,6)))./(exp( 2.00000.*STATES(:,1).*CONSTANTS(:,54)) - 1.00000);
ALGEBRAIC(:,52) = 1.00000./(1.00000+ALGEBRAIC(:,50)./CONSTANTS(:,16));
ALGEBRAIC(:,53) = STATES(:,7).*STATES(:,8).*ALGEBRAIC(:,52).*ALGEBRAIC(:,51);
ALGEBRAIC(:,55) = ( ALGEBRAIC(:,53).*CONSTANTS(:,67))./(1.00000+power(CONSTANTS(:,40)./ALGEBRAIC(:,43), CONSTANTS(:,43)));
ALGEBRAIC(:,44) = CONSTANTS(:,41)./(1.00000+0.0123000./ALGEBRAIC(:,43));
ALGEBRAIC(:,28) = 1.00000./(1.00000+ 0.124500.*exp( - 0.100000.*STATES(:,1).*CONSTANTS(:,54))+ 0.0365000.*CONSTANTS(:,56).*exp( - STATES(:,1).*CONSTANTS(:,54)));
ALGEBRAIC(:,29) = (( CONSTANTS(:,29).*ALGEBRAIC(:,28))./(1.00000+power(CONSTANTS(:,27)./STATES(:,5), 2.00000)))./(1.00000+CONSTANTS(:,28)./CONSTANTS(:,4));
ALGEBRAIC(:,33) = log(CONSTANTS(:,4)./STATES(:,6))./CONSTANTS(:,54);
ALGEBRAIC(:,27) = 1.00000./(1.00000+exp((STATES(:,1)+9.00000)./22.4000));
ALGEBRAIC(:,38) = CONSTANTS(:,25).*power((CONSTANTS(:,4)./5.40000), 1.0 ./ 2).*STATES(:,9).*ALGEBRAIC(:,27).*(STATES(:,1) - ALGEBRAIC(:,33));
ALGEBRAIC(:,40) = log((CONSTANTS(:,4)+ CONSTANTS(:,39).*CONSTANTS(:,5))./(STATES(:,6)+ CONSTANTS(:,39).*STATES(:,5)))./CONSTANTS(:,54);
ALGEBRAIC(:,57) = CONSTANTS(:,26).*(1.00000+0.600000./(1.00000+power(3.80000e-05./ALGEBRAIC(:,50), 1.40000)));
ALGEBRAIC(:,58) = ALGEBRAIC(:,57).*STATES(:,10).*STATES(:,11).*(STATES(:,1) - ALGEBRAIC(:,40));
ALGEBRAIC(:,34) = 1.02000./(1.00000+exp( 0.238500.*((STATES(:,1) - ALGEBRAIC(:,33)) - 59.2150)));
ALGEBRAIC(:,35) = ( 0.491240.*exp( 0.0803200.*((STATES(:,1) - ALGEBRAIC(:,33))+5.47600))+ 1.00000.*exp( 0.0617500.*((STATES(:,1) - ALGEBRAIC(:,33)) - 594.310)))./(1.00000+exp( - 0.514300.*((STATES(:,1) - ALGEBRAIC(:,33))+4.75300)));
ALGEBRAIC(:,36) = ( CONSTANTS(:,55).*ALGEBRAIC(:,34))./(ALGEBRAIC(:,34)+ALGEBRAIC(:,35));
ALGEBRAIC(:,37) = ALGEBRAIC(:,36).*(STATES(:,1) - ALGEBRAIC(:,33));
ALGEBRAIC(:,39) = ( CONSTANTS(:,33).*(STATES(:,1) - ALGEBRAIC(:,33)))./(1.00000+exp((7.48800 - STATES(:,1))./5.98000));
ALGEBRAIC(:,25) = ( CONSTANTS(:,21).*STATES(:,1).*CONSTANTS(:,1).*CONSTANTS(:,54).*( CONSTANTS(:,22).*STATES(:,6).*exp( STATES(:,1).*CONSTANTS(:,54)) - CONSTANTS(:,23).*CONSTANTS(:,4)))./(exp( STATES(:,1).*CONSTANTS(:,54)) - 1.00000);
ALGEBRAIC(:,56) = STATES(:,7).*STATES(:,8).*ALGEBRAIC(:,52).*ALGEBRAIC(:,25);
ALGEBRAIC(:,1) = floor(VOI./CONSTANTS(:,10)).*CONSTANTS(:,10);
ALGEBRAIC(:,10) = piecewise({VOI - ALGEBRAIC(:,1)>=CONSTANTS(:,9)&VOI - ALGEBRAIC(:,1)<=CONSTANTS(:,9)+CONSTANTS(:,11), CONSTANTS(:,12) }, 0.00000);
ALGEBRAIC(:,59) = ((ALGEBRAIC(:,38)+ALGEBRAIC(:,58)+ALGEBRAIC(:,37)+ALGEBRAIC(:,39)+ALGEBRAIC(:,56)) - 2.00000.*ALGEBRAIC(:,29))+ALGEBRAIC(:,10);
ALGEBRAIC(:,60) = ( CONSTANTS(:,30).*exp( (CONSTANTS(:,32) - 1.00000).*STATES(:,1).*CONSTANTS(:,54)).*( exp( STATES(:,1).*CONSTANTS(:,54)).*power(STATES(:,5), 3.00000).*CONSTANTS(:,6) - power(CONSTANTS(:,5), 3.00000).*ALGEBRAIC(:,50)))./(1.00000+ CONSTANTS(:,31).*exp( (CONSTANTS(:,32) - 1.00000).*STATES(:,1).*CONSTANTS(:,54)).*( exp( STATES(:,1).*CONSTANTS(:,54)).*power(STATES(:,5), 3.00000).*CONSTANTS(:,6)+ power(CONSTANTS(:,5), 3.00000).*ALGEBRAIC(:,50)));
ALGEBRAIC(:,30) = log(CONSTANTS(:,5)./STATES(:,5))./CONSTANTS(:,54);
ALGEBRAIC(:,31) = CONSTANTS(:,13).*STATES(:,3).*STATES(:,3).*STATES(:,3).*STATES(:,2).*STATES(:,4).*(STATES(:,1) - ALGEBRAIC(:,30));
ALGEBRAIC(:,32) = CONSTANTS(:,37).*(STATES(:,1) - ALGEBRAIC(:,30));
ALGEBRAIC(:,20) = ( CONSTANTS(:,18).*STATES(:,1).*CONSTANTS(:,1).*CONSTANTS(:,54).*( CONSTANTS(:,19).*STATES(:,5).*exp( STATES(:,1).*CONSTANTS(:,54)) - CONSTANTS(:,20).*CONSTANTS(:,5)))./(exp( STATES(:,1).*CONSTANTS(:,54)) - 1.00000);
ALGEBRAIC(:,54) = STATES(:,7).*STATES(:,8).*ALGEBRAIC(:,52).*ALGEBRAIC(:,20);
ALGEBRAIC(:,61) = ALGEBRAIC(:,31)+ALGEBRAIC(:,32)+ 3.00000.*ALGEBRAIC(:,60)+ALGEBRAIC(:,54)+ 3.00000.*ALGEBRAIC(:,29);
ALGEBRAIC(:,63) = CONSTANTS(:,36).*(STATES(:,1) - log(CONSTANTS(:,6)./ALGEBRAIC(:,50))./( 2.00000.*CONSTANTS(:,54)));
ALGEBRAIC(:,62) = ( CONSTANTS(:,34).*ALGEBRAIC(:,50))./(CONSTANTS(:,35)+ALGEBRAIC(:,50));
ALGEBRAIC(:,64) = (log(CONSTANTS(:,6)./ALGEBRAIC(:,50))./2.00000)./CONSTANTS(:,54);
ALGEBRAIC(:,65) = CONSTANTS(:,38).*STATES(:,12).*STATES(:,12).*STATES(:,13).*(STATES(:,1) - ALGEBRAIC(:,64));
ALGEBRAIC(:,66) = ((ALGEBRAIC(:,53)+ALGEBRAIC(:,63)+ALGEBRAIC(:,62)) - 2.00000.*ALGEBRAIC(:,60))+ALGEBRAIC(:,65);
ALGEBRAIC(:,67) = ( CONSTANTS(:,47).*ALGEBRAIC(:,50))./(ALGEBRAIC(:,50)+CONSTANTS(:,46));
ALGEBRAIC(:,45) = ( CONSTANTS(:,47).*STATES(:,16))./CONSTANTS(:,48);
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