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 =75;
end
% There are a total of 9 entries in each of the rate and state variable arrays.
% There are a total of 54 entries in the constant variable array.
%
function [VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel()
% Create ALGEBRAIC of correct size
global algebraicVariableCount; algebraicVariableCount = getAlgebraicVariableCount();
% Initialise constants and state variables
[INIT_STATES, CONSTANTS] = initConsts;
% Set timespan to solve over
tspan = [0, 10];
% Set numerical accuracy options for ODE solver
options = odeset('RelTol', 1e-06, 'AbsTol', 1e-06, 'MaxStep', 1);
% Solve model with ODE solver
[VOI, STATES] = ode15s(@(VOI, STATES)computeRates(VOI, STATES, CONSTANTS), tspan, INIT_STATES, options);
% Compute algebraic variables
[RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS);
ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI);
% Plot state variables against variable of integration
[LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends();
figure();
plot(VOI, STATES);
xlabel(LEGEND_VOI);
l = legend(LEGEND_STATES);
set(l,'Interpreter','none');
end
function [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends()
LEGEND_STATES = ''; LEGEND_ALGEBRAIC = ''; LEGEND_VOI = ''; LEGEND_CONSTANTS = '';
LEGEND_VOI = strpad('time in component environment (millisecond)');
LEGEND_STATES(:,1) = strpad('Gi in component Gi (millimolar)');
LEGEND_ALGEBRAIC(:,7) = strpad('Jglut in component Jglut (millimolar_per_millisecond)');
LEGEND_ALGEBRAIC(:,8) = strpad('Jgk in component Jgk (millimolar_per_millisecond)');
LEGEND_ALGEBRAIC(:,4) = strpad('Ge in component Ge (millimolar)');
LEGEND_CONSTANTS(:,1) = strpad('gluper in component Ge (dimensionless)');
LEGEND_CONSTANTS(:,2) = strpad('gluamp in component Ge (millimolar)');
LEGEND_CONSTANTS(:,3) = strpad('glubasa1 in component Ge (millimolar)');
LEGEND_CONSTANTS(:,4) = strpad('glustep in component Ge (dimensionless)');
LEGEND_CONSTANTS(:,5) = strpad('steptime in component Ge (millisecond)');
LEGEND_ALGEBRAIC(:,1) = strpad('GeStep in component Ge (millimolar)');
LEGEND_STATES(:,2) = strpad('G6P in component G6P (millimolar)');
LEGEND_CONSTANTS(:,6) = strpad('kappa in component model_parameters (dimensionless)');
LEGEND_ALGEBRAIC(:,75) = strpad('JPFK in component JPFK (micromolar_per_millisecond)');
LEGEND_STATES(:,3) = strpad('FBP in component FBP (micromolar)');
LEGEND_ALGEBRAIC(:,9) = strpad('JGPDH in component JGPDH (micromolar_per_millisecond)');
LEGEND_ALGEBRAIC(:,6) = strpad('F6P in component F6P (millimolar)');
LEGEND_CONSTANTS(:,7) = strpad('Kglut in component Jglut (millimolar)');
LEGEND_CONSTANTS(:,8) = strpad('Vglut in component Jglut (millimolar_per_millisecond)');
LEGEND_CONSTANTS(:,9) = strpad('Kgk in component Jgk (millimolar)');
LEGEND_CONSTANTS(:,10) = strpad('Vgk in component Jgk (millimolar_per_millisecond)');
LEGEND_CONSTANTS(:,11) = strpad('ngk in component Jgk (dimensionless)');
LEGEND_CONSTANTS(:,12) = strpad('pfkbas in component JPFK (dimensionless)');
LEGEND_CONSTANTS(:,13) = strpad('cat in component JPFK (micromolar_per_millisecond)');
LEGEND_ALGEBRAIC(:,61) = strpad('topb in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,73) = strpad('topa16 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,74) = strpad('bottom16 in component w (dimensionless)');
LEGEND_CONSTANTS(:,52) = strpad('weight1 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,52) = strpad('weight9 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,10) = strpad('weight5 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,11) = strpad('weight3 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,16) = strpad('weight2 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,54) = strpad('weight13 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,55) = strpad('weight11 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,57) = strpad('weight10 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,24) = strpad('weight6 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,27) = strpad('weight4 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,60) = strpad('weight15 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,46) = strpad('weight8 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,62) = strpad('weight12 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,67) = strpad('weight14 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,72) = strpad('weight16 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,13) = strpad('weight7 in component w (dimensionless)');
LEGEND_CONSTANTS(:,51) = strpad('topa1 in component w (dimensionless)');
LEGEND_CONSTANTS(:,54) = strpad('topa2 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,12) = strpad('topa3 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,30) = strpad('topa4 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,33) = strpad('topa5 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,36) = strpad('topa6 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,44) = strpad('topa7 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,47) = strpad('topa8 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,48) = strpad('topa9 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,49) = strpad('topa10 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,56) = strpad('topa11 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,63) = strpad('topa12 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,64) = strpad('topa13 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,68) = strpad('topa14 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,69) = strpad('topa15 in component w (dimensionless)');
LEGEND_CONSTANTS(:,53) = strpad('bottom1 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,19) = strpad('bottom2 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,22) = strpad('bottom3 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,38) = strpad('bottom4 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,40) = strpad('bottom5 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,42) = strpad('bottom6 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,45) = strpad('bottom7 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,50) = strpad('bottom8 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,53) = strpad('bottom9 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,58) = strpad('bottom10 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,59) = strpad('bottom11 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,65) = strpad('bottom12 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,66) = strpad('bottom13 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,70) = strpad('bottom14 in component w (dimensionless)');
LEGEND_ALGEBRAIC(:,71) = strpad('bottom15 in component w (dimensionless)');
LEGEND_CONSTANTS(:,14) = strpad('famp in component w (dimensionless)');
LEGEND_CONSTANTS(:,15) = strpad('ffbp in component w (dimensionless)');
LEGEND_CONSTANTS(:,16) = strpad('fmt in component w (dimensionless)');
LEGEND_CONSTANTS(:,17) = strpad('fbt in component w (dimensionless)');
LEGEND_CONSTANTS(:,18) = strpad('fatp in component w (dimensionless)');
LEGEND_CONSTANTS(:,19) = strpad('K1 in component w (micromolar)');
LEGEND_CONSTANTS(:,20) = strpad('K2 in component w (micromolar)');
LEGEND_CONSTANTS(:,21) = strpad('K3 in component w (micromolar)');
LEGEND_CONSTANTS(:,22) = strpad('K4 in component w (micromolar)');
LEGEND_ALGEBRAIC(:,51) = strpad('AMP in component AMP (micromolar)');
LEGEND_ALGEBRAIC(:,15) = strpad('ATP in component ATP (micromolar)');
LEGEND_CONSTANTS(:,23) = strpad('Atot in component ATP (micromolar)');
LEGEND_ALGEBRAIC(:,14) = strpad('rad in component ATP (micromolar)');
LEGEND_STATES(:,4) = strpad('ADP in component ADP (micromolar)');
LEGEND_ALGEBRAIC(:,17) = strpad('y in component ADP (dimensionless)');
LEGEND_CONSTANTS(:,24) = strpad('tau_a in component ADP (millisecond)');
LEGEND_CONSTANTS(:,25) = strpad('r in component ADP (dimensionless)');
LEGEND_CONSTANTS(:,26) = strpad('r1 in component ADP (micromolar)');
LEGEND_CONSTANTS(:,27) = strpad('autoadp in component ADP (dimensionless)');
LEGEND_CONSTANTS(:,28) = strpad('adpknot in component ADP (micromolar)');
LEGEND_ALGEBRAIC(:,20) = strpad('fback in component ADP (dimensionless)');
LEGEND_CONSTANTS(:,29) = strpad('ky in component ADP (dimensionless)');
LEGEND_CONSTANTS(:,30) = strpad('kg in component ADP (micromolar_per_millisecond)');
LEGEND_STATES(:,5) = strpad('Ca in component Ca (micromolar)');
LEGEND_STATES(:,6) = strpad('v in component membrane (millivolt)');
LEGEND_CONSTANTS(:,31) = strpad('cm in component membrane (femtofarad)');
LEGEND_ALGEBRAIC(:,23) = strpad('I_Ca in component I_Ca (femtoampere)');
LEGEND_ALGEBRAIC(:,18) = strpad('I_K in component I_K (femtoampere)');
LEGEND_ALGEBRAIC(:,25) = strpad('I_K_Ca in component I_K_Ca (femtoampere)');
LEGEND_ALGEBRAIC(:,43) = strpad('I_K_ATP in component I_K_ATP (femtoampere)');
LEGEND_CONSTANTS(:,32) = strpad('gK in component I_K (picosiemens)');
LEGEND_CONSTANTS(:,33) = strpad('vK in component model_parameters (millivolt)');
LEGEND_STATES(:,7) = strpad('n in component n (dimensionless)');
LEGEND_ALGEBRAIC(:,5) = strpad('n_infinity in component n (dimensionless)');
LEGEND_ALGEBRAIC(:,2) = strpad('tau_n in component n (millisecond)');
LEGEND_CONSTANTS(:,34) = strpad('gCa in component I_Ca (picosiemens)');
LEGEND_CONSTANTS(:,35) = strpad('vCa in component model_parameters (millivolt)');
LEGEND_ALGEBRAIC(:,21) = strpad('m_infinity in component m (dimensionless)');
LEGEND_CONSTANTS(:,36) = strpad('gkCa in component I_K_Ca (picosiemens)');
LEGEND_CONSTANTS(:,37) = strpad('KD in component I_K_Ca (micromolar)');
LEGEND_CONSTANTS(:,38) = strpad('nh in component I_K_Ca (dimensionless)');
LEGEND_CONSTANTS(:,39) = strpad('gkATP_bar in component I_K_ATP (picosiemens)');
LEGEND_ALGEBRAIC(:,41) = strpad('katpo in component I_K_ATP (dimensionless)');
LEGEND_ALGEBRAIC(:,31) = strpad('topo in component I_K_ATP (dimensionless)');
LEGEND_ALGEBRAIC(:,39) = strpad('bottomo in component I_K_ATP (dimensionless)');
LEGEND_ALGEBRAIC(:,28) = strpad('MgADP in component I_K_ATP (micromolar)');
LEGEND_ALGEBRAIC(:,34) = strpad('ADP3 in component I_K_ATP (micromolar)');
LEGEND_ALGEBRAIC(:,37) = strpad('ATP4 in component I_K_ATP (micromolar)');
LEGEND_CONSTANTS(:,40) = strpad('fcyt in component Ca (dimensionless)');
LEGEND_ALGEBRAIC(:,26) = strpad('Jmem in component Jmem (micromolar_per_millisecond)');
LEGEND_ALGEBRAIC(:,35) = strpad('Jer in component Jer (micromolar_per_millisecond)');
LEGEND_STATES(:,8) = strpad('Caer in component Caer (micromolar)');
LEGEND_CONSTANTS(:,41) = strpad('fer in component Caer (dimensionless)');
LEGEND_CONSTANTS(:,42) = strpad('sigmav in component Caer (dimensionless)');
LEGEND_CONSTANTS(:,43) = strpad('kPMCA in component Jmem (first_order_rate_constant)');
LEGEND_CONSTANTS(:,44) = strpad('alpha in component Jmem (micromolar_per_millisecond)');
LEGEND_ALGEBRAIC(:,32) = strpad('Jleak in component Jleak (micromolar_per_millisecond)');
LEGEND_ALGEBRAIC(:,29) = strpad('JSERCA in component JSERCA (micromolar_per_millisecond)');
LEGEND_CONSTANTS(:,45) = strpad('kSERCA in component JSERCA (first_order_rate_constant)');
LEGEND_CONSTANTS(:,46) = strpad('pleak in component Jleak (first_order_rate_constant)');
LEGEND_STATES(:,9) = strpad('I in component I (dimensionless)');
LEGEND_ALGEBRAIC(:,3) = strpad('I_infinity in component I (dimensionless)');
LEGEND_CONSTANTS(:,47) = strpad('tau_I in component I (millisecond)');
LEGEND_CONSTANTS(:,48) = strpad('I_max in component I (dimensionless)');
LEGEND_CONSTANTS(:,49) = strpad('delta in component I (dimensionless)');
LEGEND_CONSTANTS(:,50) = strpad('ki in component I (micromolar)');
LEGEND_RATES(:,1) = strpad('d/dt Gi in component Gi (millimolar)');
LEGEND_RATES(:,2) = strpad('d/dt G6P in component G6P (millimolar)');
LEGEND_RATES(:,3) = strpad('d/dt FBP in component FBP (micromolar)');
LEGEND_RATES(:,4) = strpad('d/dt ADP in component ADP (micromolar)');
LEGEND_RATES(:,6) = strpad('d/dt v in component membrane (millivolt)');
LEGEND_RATES(:,7) = strpad('d/dt n in component n (dimensionless)');
LEGEND_RATES(:,5) = strpad('d/dt Ca in component Ca (micromolar)');
LEGEND_RATES(:,8) = strpad('d/dt Caer in component Caer (micromolar)');
LEGEND_RATES(:,9) = strpad('d/dt I in component I (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 = [];
STATES(:,1) = 6.0637;
CONSTANTS(:,1) = 7.0;
CONSTANTS(:,2) = 0.0;
CONSTANTS(:,3) = 7.0;
CONSTANTS(:,4) = 0.0;
CONSTANTS(:,5) = 480000;
STATES(:,2) = 525.97;
CONSTANTS(:,6) = 0.005;
STATES(:,3) = 0.2088;
CONSTANTS(:,7) = 7;
CONSTANTS(:,8) = 8;
CONSTANTS(:,9) = 7;
CONSTANTS(:,10) = 0.8;
CONSTANTS(:,11) = 4;
CONSTANTS(:,12) = 0.06;
CONSTANTS(:,13) = 2;
CONSTANTS(:,14) = 0.02;
CONSTANTS(:,15) = 0.2;
CONSTANTS(:,16) = 20;
CONSTANTS(:,17) = 20;
CONSTANTS(:,18) = 20;
CONSTANTS(:,19) = 30;
CONSTANTS(:,20) = 1;
CONSTANTS(:,21) = 50000;
CONSTANTS(:,22) = 1000;
CONSTANTS(:,23) = 3000;
STATES(:,4) = 537.6;
CONSTANTS(:,24) = 300000;
CONSTANTS(:,25) = 0.5;
CONSTANTS(:,26) = 0.35;
CONSTANTS(:,27) = 1.0;
CONSTANTS(:,28) = 800.0;
CONSTANTS(:,29) = 2.2;
CONSTANTS(:,30) = 0.1;
STATES(:,5) = 0.05626;
STATES(:,6) = -66.7;
CONSTANTS(:,31) = 5300;
CONSTANTS(:,32) = 2700;
CONSTANTS(:,33) = -75;
STATES(:,7) = 0.00012;
CONSTANTS(:,34) = 1000;
CONSTANTS(:,35) = 25;
CONSTANTS(:,36) = 400;
CONSTANTS(:,37) = 0.5;
CONSTANTS(:,38) = 2.0;
CONSTANTS(:,39) = 2000;
CONSTANTS(:,40) = 0.01;
STATES(:,8) = 121.8;
CONSTANTS(:,41) = 0.01;
CONSTANTS(:,42) = 31;
CONSTANTS(:,43) = 0.18;
CONSTANTS(:,44) = 4.5e-6;
CONSTANTS(:,45) = 0.4;
CONSTANTS(:,46) = 0.0002;
STATES(:,9) = 0.316;
CONSTANTS(:,47) = 10000;
CONSTANTS(:,48) = 20;
CONSTANTS(:,49) = 8.0;
CONSTANTS(:,50) = 0.1;
CONSTANTS(:,51) = 0.00000;
CONSTANTS(:,52) = 1.00000;
CONSTANTS(:,53) = 1.00000;
CONSTANTS(:,54) = CONSTANTS(:,51);
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(:,3) = CONSTANTS(:,48).*(power(STATES(:,5), CONSTANTS(:,49))./(power(CONSTANTS(:,50), CONSTANTS(:,49))+power(STATES(:,5), CONSTANTS(:,49))));
RATES(:,9) = (ALGEBRAIC(:,3) - STATES(:,9))./CONSTANTS(:,47);
ALGEBRAIC(:,5) = 0.500000.*(1.00000+ tanh((STATES(:,6) - -16.0000)./11.2000));
ALGEBRAIC(:,2) = 1.00000./( 0.0350000.*cosh((STATES(:,6) - -16.0000)./22.4000));
RATES(:,7) = (ALGEBRAIC(:,5) - STATES(:,7))./ALGEBRAIC(:,2);
ALGEBRAIC(:,1) = piecewise({(VOI - CONSTANTS(:,5))./1000.00>1.00000, CONSTANTS(:,4).*CONSTANTS(:,2) , (VOI - CONSTANTS(:,5))./1000.00>0.00000&(VOI - CONSTANTS(:,5))./1000.00<1.00000, ((VOI - CONSTANTS(:,5))./1000.00).*CONSTANTS(:,4).*CONSTANTS(:,2) , (VOI - CONSTANTS(:,5))./1000.00<0.00000, 0.00000 }, NaN);
ALGEBRAIC(:,4) = CONSTANTS(:,3)+ CONSTANTS(:,2).*(1.00000 - CONSTANTS(:,4)).*cos(( VOI.*2.00000.* pi)./( 60000.0.*CONSTANTS(:,1)))+ALGEBRAIC(:,1);
ALGEBRAIC(:,7) = CONSTANTS(:,8).*(( (ALGEBRAIC(:,4) - STATES(:,1)).*CONSTANTS(:,7))./( (CONSTANTS(:,7)+ALGEBRAIC(:,4)).*(CONSTANTS(:,7)+STATES(:,1))));
ALGEBRAIC(:,8) = ( CONSTANTS(:,10).*power(STATES(:,1), CONSTANTS(:,11)))./(power(CONSTANTS(:,9), CONSTANTS(:,11))+power(STATES(:,1), CONSTANTS(:,11)));
RATES(:,1) = ALGEBRAIC(:,7) - ALGEBRAIC(:,8);
ALGEBRAIC(:,14) = power((power(STATES(:,4) - CONSTANTS(:,23), 2.00000) - 4.00000.*power(STATES(:,4), 2.00000)), 1.0 ./ 2);
ALGEBRAIC(:,15) = 0.500000.*((CONSTANTS(:,23)+ALGEBRAIC(:,14)) - STATES(:,4));
ALGEBRAIC(:,9) = 0.200000.*power((STATES(:,3)./1.00000), 1.0 ./ 2);
ALGEBRAIC(:,17) = ( CONSTANTS(:,29).*ALGEBRAIC(:,9))./(CONSTANTS(:,30)+ALGEBRAIC(:,9));
ALGEBRAIC(:,20) = CONSTANTS(:,25)+ALGEBRAIC(:,17);
RATES(:,4) = CONSTANTS(:,27).*((ALGEBRAIC(:,15) - STATES(:,4).*exp( ALGEBRAIC(:,20).*((1.00000 - STATES(:,5))./CONSTANTS(:,26))))./CONSTANTS(:,24))+ 1.00000.*(1.00000 - CONSTANTS(:,27)).*(CONSTANTS(:,28) - STATES(:,4));
ALGEBRAIC(:,21) = 0.500000.*(1.00000+ tanh((STATES(:,6) - -20.0000)./24.0000));
ALGEBRAIC(:,23) = CONSTANTS(:,34).*ALGEBRAIC(:,21).*(STATES(:,6) - CONSTANTS(:,35));
ALGEBRAIC(:,26) = - ( CONSTANTS(:,44).*1.00000.*ALGEBRAIC(:,23)+ CONSTANTS(:,43).*STATES(:,5));
ALGEBRAIC(:,32) = CONSTANTS(:,46).*(STATES(:,8) - STATES(:,5));
ALGEBRAIC(:,29) = CONSTANTS(:,45).*STATES(:,5);
ALGEBRAIC(:,35) = ALGEBRAIC(:,32) - ALGEBRAIC(:,29);
RATES(:,5) = CONSTANTS(:,40).*(ALGEBRAIC(:,26)+ALGEBRAIC(:,35));
RATES(:,8) = - CONSTANTS(:,41).*CONSTANTS(:,42).*ALGEBRAIC(:,35);
ALGEBRAIC(:,18) = CONSTANTS(:,32).*STATES(:,7).*(STATES(:,6) - CONSTANTS(:,33));
ALGEBRAIC(:,25) = (CONSTANTS(:,36)./(1.00000+power(CONSTANTS(:,37)./STATES(:,5), CONSTANTS(:,38)))).*(STATES(:,6) - CONSTANTS(:,33));
ALGEBRAIC(:,28) = 0.165000.*STATES(:,4);
ALGEBRAIC(:,31) = 0.0800000.*(1.00000+( 2.00000.*ALGEBRAIC(:,28))./17.0000)+ 0.890000.*power(ALGEBRAIC(:,28)./17.0000, 2.00000);
ALGEBRAIC(:,34) = 0.135000.*STATES(:,4);
ALGEBRAIC(:,37) = 0.0500000.*ALGEBRAIC(:,15);
ALGEBRAIC(:,39) = power(1.00000+ALGEBRAIC(:,28)./17.0000, 2.00000).*(1.00000+ALGEBRAIC(:,34)./26.0000+ALGEBRAIC(:,37)./1.00000);
ALGEBRAIC(:,41) = 20.0000.*(ALGEBRAIC(:,31)./ALGEBRAIC(:,39));
ALGEBRAIC(:,43) = CONSTANTS(:,39).*ALGEBRAIC(:,41).*(STATES(:,6) - CONSTANTS(:,33));
RATES(:,6) = - (ALGEBRAIC(:,18)+ALGEBRAIC(:,23)+ALGEBRAIC(:,25)+ALGEBRAIC(:,43))./CONSTANTS(:,31);
ALGEBRAIC(:,6) = 0.300000.*STATES(:,2);
ALGEBRAIC(:,51) = power(STATES(:,4), 2.00000)./ALGEBRAIC(:,15);
ALGEBRAIC(:,60) = ( ALGEBRAIC(:,51).*STATES(:,3).*power(ALGEBRAIC(:,6), 2.00000))./( 1.00000.*CONSTANTS(:,19).*CONSTANTS(:,20).*CONSTANTS(:,21).*CONSTANTS(:,15).*CONSTANTS(:,14));
ALGEBRAIC(:,61) = ALGEBRAIC(:,60);
ALGEBRAIC(:,72) = ( ALGEBRAIC(:,51).*STATES(:,3).*power(ALGEBRAIC(:,6), 2.00000).*power(ALGEBRAIC(:,15), 2.00000))./( 1.00000.*CONSTANTS(:,19).*CONSTANTS(:,20).*CONSTANTS(:,21).*CONSTANTS(:,22).*CONSTANTS(:,15).*CONSTANTS(:,14).*CONSTANTS(:,17).*CONSTANTS(:,16).*CONSTANTS(:,18));
ALGEBRAIC(:,62) = ( ALGEBRAIC(:,51).*power(ALGEBRAIC(:,6), 2.00000).*power(ALGEBRAIC(:,15), 2.00000))./( 1.00000.*CONSTANTS(:,19).*CONSTANTS(:,21).*CONSTANTS(:,22).*CONSTANTS(:,14).*CONSTANTS(:,16).*CONSTANTS(:,18));
ALGEBRAIC(:,55) = ( ALGEBRAIC(:,51).*power(ALGEBRAIC(:,6), 2.00000))./( 1.00000.*CONSTANTS(:,19).*CONSTANTS(:,21).*CONSTANTS(:,14));
ALGEBRAIC(:,46) = ( STATES(:,3).*power(ALGEBRAIC(:,6), 2.00000).*power(ALGEBRAIC(:,15), 2.00000))./( 1.00000.*CONSTANTS(:,20).*CONSTANTS(:,21).*CONSTANTS(:,22).*CONSTANTS(:,15).*CONSTANTS(:,17).*CONSTANTS(:,18));
ALGEBRAIC(:,13) = ( STATES(:,3).*power(ALGEBRAIC(:,6), 2.00000))./( 1.00000.*CONSTANTS(:,20).*CONSTANTS(:,21).*CONSTANTS(:,15));
ALGEBRAIC(:,27) = power( ALGEBRAIC(:,6).*ALGEBRAIC(:,15), 2.00000)./( 1.00000.*CONSTANTS(:,18).*CONSTANTS(:,21).*CONSTANTS(:,22));
ALGEBRAIC(:,11) = power(ALGEBRAIC(:,6), 2.00000)./( 1.00000.*CONSTANTS(:,21));
ALGEBRAIC(:,12) = CONSTANTS(:,54)+ALGEBRAIC(:,11);
ALGEBRAIC(:,30) = ALGEBRAIC(:,12)+ALGEBRAIC(:,27);
ALGEBRAIC(:,33) = ALGEBRAIC(:,30);
ALGEBRAIC(:,36) = ALGEBRAIC(:,33);
ALGEBRAIC(:,44) = ALGEBRAIC(:,36)+ALGEBRAIC(:,13);
ALGEBRAIC(:,47) = ALGEBRAIC(:,44)+ALGEBRAIC(:,46);
ALGEBRAIC(:,48) = ALGEBRAIC(:,47);
ALGEBRAIC(:,49) = ALGEBRAIC(:,48);
ALGEBRAIC(:,56) = ALGEBRAIC(:,49)+ALGEBRAIC(:,55);
ALGEBRAIC(:,63) = ALGEBRAIC(:,56)+ALGEBRAIC(:,62);
ALGEBRAIC(:,64) = ALGEBRAIC(:,63);
ALGEBRAIC(:,68) = ALGEBRAIC(:,64);
ALGEBRAIC(:,69) = ALGEBRAIC(:,68);
ALGEBRAIC(:,73) = ALGEBRAIC(:,69)+ALGEBRAIC(:,72);
ALGEBRAIC(:,67) = ( ALGEBRAIC(:,51).*STATES(:,3).*power(ALGEBRAIC(:,15), 2.00000))./( 1.00000.*CONSTANTS(:,19).*CONSTANTS(:,20).*CONSTANTS(:,22).*CONSTANTS(:,17).*CONSTANTS(:,16));
ALGEBRAIC(:,54) = ( ALGEBRAIC(:,51).*STATES(:,3))./( CONSTANTS(:,19).*CONSTANTS(:,20));
ALGEBRAIC(:,57) = ( ALGEBRAIC(:,51).*power(ALGEBRAIC(:,15), 2.00000))./( 1.00000.*CONSTANTS(:,19).*CONSTANTS(:,22).*CONSTANTS(:,16));
ALGEBRAIC(:,52) = ALGEBRAIC(:,51)./CONSTANTS(:,19);
ALGEBRAIC(:,24) = ( STATES(:,3).*power(ALGEBRAIC(:,15), 2.00000))./( 1.00000.*CONSTANTS(:,20).*CONSTANTS(:,22).*CONSTANTS(:,17));
ALGEBRAIC(:,10) = STATES(:,3)./CONSTANTS(:,20);
ALGEBRAIC(:,16) = power(ALGEBRAIC(:,15), 2.00000)./( 1.00000.*CONSTANTS(:,22));
ALGEBRAIC(:,19) = CONSTANTS(:,53)+ALGEBRAIC(:,16);
ALGEBRAIC(:,22) = ALGEBRAIC(:,19)+ALGEBRAIC(:,11);
ALGEBRAIC(:,38) = ALGEBRAIC(:,22)+ALGEBRAIC(:,27);
ALGEBRAIC(:,40) = ALGEBRAIC(:,38)+ALGEBRAIC(:,10);
ALGEBRAIC(:,42) = ALGEBRAIC(:,40)+ALGEBRAIC(:,24);
ALGEBRAIC(:,45) = ALGEBRAIC(:,42)+ALGEBRAIC(:,13);
ALGEBRAIC(:,50) = ALGEBRAIC(:,45)+ALGEBRAIC(:,46);
ALGEBRAIC(:,53) = ALGEBRAIC(:,50)+ALGEBRAIC(:,52);
ALGEBRAIC(:,58) = ALGEBRAIC(:,53)+ALGEBRAIC(:,57);
ALGEBRAIC(:,59) = ALGEBRAIC(:,58)+ALGEBRAIC(:,55);
ALGEBRAIC(:,65) = ALGEBRAIC(:,59)+ALGEBRAIC(:,62);
ALGEBRAIC(:,66) = ALGEBRAIC(:,65)+ALGEBRAIC(:,54);
ALGEBRAIC(:,70) = ALGEBRAIC(:,66)+ALGEBRAIC(:,67);
ALGEBRAIC(:,71) = ALGEBRAIC(:,70)+ALGEBRAIC(:,60);
ALGEBRAIC(:,74) = ALGEBRAIC(:,71)+ALGEBRAIC(:,72);
ALGEBRAIC(:,75) = ( CONSTANTS(:,12).*CONSTANTS(:,13).*ALGEBRAIC(:,73)+ CONSTANTS(:,13).*ALGEBRAIC(:,61))./ALGEBRAIC(:,74);
RATES(:,2) = CONSTANTS(:,6).*(ALGEBRAIC(:,8) - ALGEBRAIC(:,75));
RATES(:,3) = CONSTANTS(:,6).*(ALGEBRAIC(:,75) - 0.500000.*ALGEBRAIC(:,9));
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) = CONSTANTS(:,48).*(power(STATES(:,5), CONSTANTS(:,49))./(power(CONSTANTS(:,50), CONSTANTS(:,49))+power(STATES(:,5), CONSTANTS(:,49))));
ALGEBRAIC(:,5) = 0.500000.*(1.00000+ tanh((STATES(:,6) - -16.0000)./11.2000));
ALGEBRAIC(:,2) = 1.00000./( 0.0350000.*cosh((STATES(:,6) - -16.0000)./22.4000));
ALGEBRAIC(:,1) = piecewise({(VOI - CONSTANTS(:,5))./1000.00>1.00000, CONSTANTS(:,4).*CONSTANTS(:,2) , (VOI - CONSTANTS(:,5))./1000.00>0.00000&(VOI - CONSTANTS(:,5))./1000.00<1.00000, ((VOI - CONSTANTS(:,5))./1000.00).*CONSTANTS(:,4).*CONSTANTS(:,2) , (VOI - CONSTANTS(:,5))./1000.00<0.00000, 0.00000 }, NaN);
ALGEBRAIC(:,4) = CONSTANTS(:,3)+ CONSTANTS(:,2).*(1.00000 - CONSTANTS(:,4)).*cos(( VOI.*2.00000.* pi)./( 60000.0.*CONSTANTS(:,1)))+ALGEBRAIC(:,1);
ALGEBRAIC(:,7) = CONSTANTS(:,8).*(( (ALGEBRAIC(:,4) - STATES(:,1)).*CONSTANTS(:,7))./( (CONSTANTS(:,7)+ALGEBRAIC(:,4)).*(CONSTANTS(:,7)+STATES(:,1))));
ALGEBRAIC(:,8) = ( CONSTANTS(:,10).*power(STATES(:,1), CONSTANTS(:,11)))./(power(CONSTANTS(:,9), CONSTANTS(:,11))+power(STATES(:,1), CONSTANTS(:,11)));
ALGEBRAIC(:,14) = power((power(STATES(:,4) - CONSTANTS(:,23), 2.00000) - 4.00000.*power(STATES(:,4), 2.00000)), 1.0 ./ 2);
ALGEBRAIC(:,15) = 0.500000.*((CONSTANTS(:,23)+ALGEBRAIC(:,14)) - STATES(:,4));
ALGEBRAIC(:,9) = 0.200000.*power((STATES(:,3)./1.00000), 1.0 ./ 2);
ALGEBRAIC(:,17) = ( CONSTANTS(:,29).*ALGEBRAIC(:,9))./(CONSTANTS(:,30)+ALGEBRAIC(:,9));
ALGEBRAIC(:,20) = CONSTANTS(:,25)+ALGEBRAIC(:,17);
ALGEBRAIC(:,21) = 0.500000.*(1.00000+ tanh((STATES(:,6) - -20.0000)./24.0000));
ALGEBRAIC(:,23) = CONSTANTS(:,34).*ALGEBRAIC(:,21).*(STATES(:,6) - CONSTANTS(:,35));
ALGEBRAIC(:,26) = - ( CONSTANTS(:,44).*1.00000.*ALGEBRAIC(:,23)+ CONSTANTS(:,43).*STATES(:,5));
ALGEBRAIC(:,32) = CONSTANTS(:,46).*(STATES(:,8) - STATES(:,5));
ALGEBRAIC(:,29) = CONSTANTS(:,45).*STATES(:,5);
ALGEBRAIC(:,35) = ALGEBRAIC(:,32) - ALGEBRAIC(:,29);
ALGEBRAIC(:,18) = CONSTANTS(:,32).*STATES(:,7).*(STATES(:,6) - CONSTANTS(:,33));
ALGEBRAIC(:,25) = (CONSTANTS(:,36)./(1.00000+power(CONSTANTS(:,37)./STATES(:,5), CONSTANTS(:,38)))).*(STATES(:,6) - CONSTANTS(:,33));
ALGEBRAIC(:,28) = 0.165000.*STATES(:,4);
ALGEBRAIC(:,31) = 0.0800000.*(1.00000+( 2.00000.*ALGEBRAIC(:,28))./17.0000)+ 0.890000.*power(ALGEBRAIC(:,28)./17.0000, 2.00000);
ALGEBRAIC(:,34) = 0.135000.*STATES(:,4);
ALGEBRAIC(:,37) = 0.0500000.*ALGEBRAIC(:,15);
ALGEBRAIC(:,39) = power(1.00000+ALGEBRAIC(:,28)./17.0000, 2.00000).*(1.00000+ALGEBRAIC(:,34)./26.0000+ALGEBRAIC(:,37)./1.00000);
ALGEBRAIC(:,41) = 20.0000.*(ALGEBRAIC(:,31)./ALGEBRAIC(:,39));
ALGEBRAIC(:,43) = CONSTANTS(:,39).*ALGEBRAIC(:,41).*(STATES(:,6) - CONSTANTS(:,33));
ALGEBRAIC(:,6) = 0.300000.*STATES(:,2);
ALGEBRAIC(:,51) = power(STATES(:,4), 2.00000)./ALGEBRAIC(:,15);
ALGEBRAIC(:,60) = ( ALGEBRAIC(:,51).*STATES(:,3).*power(ALGEBRAIC(:,6), 2.00000))./( 1.00000.*CONSTANTS(:,19).*CONSTANTS(:,20).*CONSTANTS(:,21).*CONSTANTS(:,15).*CONSTANTS(:,14));
ALGEBRAIC(:,61) = ALGEBRAIC(:,60);
ALGEBRAIC(:,72) = ( ALGEBRAIC(:,51).*STATES(:,3).*power(ALGEBRAIC(:,6), 2.00000).*power(ALGEBRAIC(:,15), 2.00000))./( 1.00000.*CONSTANTS(:,19).*CONSTANTS(:,20).*CONSTANTS(:,21).*CONSTANTS(:,22).*CONSTANTS(:,15).*CONSTANTS(:,14).*CONSTANTS(:,17).*CONSTANTS(:,16).*CONSTANTS(:,18));
ALGEBRAIC(:,62) = ( ALGEBRAIC(:,51).*power(ALGEBRAIC(:,6), 2.00000).*power(ALGEBRAIC(:,15), 2.00000))./( 1.00000.*CONSTANTS(:,19).*CONSTANTS(:,21).*CONSTANTS(:,22).*CONSTANTS(:,14).*CONSTANTS(:,16).*CONSTANTS(:,18));
ALGEBRAIC(:,55) = ( ALGEBRAIC(:,51).*power(ALGEBRAIC(:,6), 2.00000))./( 1.00000.*CONSTANTS(:,19).*CONSTANTS(:,21).*CONSTANTS(:,14));
ALGEBRAIC(:,46) = ( STATES(:,3).*power(ALGEBRAIC(:,6), 2.00000).*power(ALGEBRAIC(:,15), 2.00000))./( 1.00000.*CONSTANTS(:,20).*CONSTANTS(:,21).*CONSTANTS(:,22).*CONSTANTS(:,15).*CONSTANTS(:,17).*CONSTANTS(:,18));
ALGEBRAIC(:,13) = ( STATES(:,3).*power(ALGEBRAIC(:,6), 2.00000))./( 1.00000.*CONSTANTS(:,20).*CONSTANTS(:,21).*CONSTANTS(:,15));
ALGEBRAIC(:,27) = power( ALGEBRAIC(:,6).*ALGEBRAIC(:,15), 2.00000)./( 1.00000.*CONSTANTS(:,18).*CONSTANTS(:,21).*CONSTANTS(:,22));
ALGEBRAIC(:,11) = power(ALGEBRAIC(:,6), 2.00000)./( 1.00000.*CONSTANTS(:,21));
ALGEBRAIC(:,12) = CONSTANTS(:,54)+ALGEBRAIC(:,11);
ALGEBRAIC(:,30) = ALGEBRAIC(:,12)+ALGEBRAIC(:,27);
ALGEBRAIC(:,33) = ALGEBRAIC(:,30);
ALGEBRAIC(:,36) = ALGEBRAIC(:,33);
ALGEBRAIC(:,44) = ALGEBRAIC(:,36)+ALGEBRAIC(:,13);
ALGEBRAIC(:,47) = ALGEBRAIC(:,44)+ALGEBRAIC(:,46);
ALGEBRAIC(:,48) = ALGEBRAIC(:,47);
ALGEBRAIC(:,49) = ALGEBRAIC(:,48);
ALGEBRAIC(:,56) = ALGEBRAIC(:,49)+ALGEBRAIC(:,55);
ALGEBRAIC(:,63) = ALGEBRAIC(:,56)+ALGEBRAIC(:,62);
ALGEBRAIC(:,64) = ALGEBRAIC(:,63);
ALGEBRAIC(:,68) = ALGEBRAIC(:,64);
ALGEBRAIC(:,69) = ALGEBRAIC(:,68);
ALGEBRAIC(:,73) = ALGEBRAIC(:,69)+ALGEBRAIC(:,72);
ALGEBRAIC(:,67) = ( ALGEBRAIC(:,51).*STATES(:,3).*power(ALGEBRAIC(:,15), 2.00000))./( 1.00000.*CONSTANTS(:,19).*CONSTANTS(:,20).*CONSTANTS(:,22).*CONSTANTS(:,17).*CONSTANTS(:,16));
ALGEBRAIC(:,54) = ( ALGEBRAIC(:,51).*STATES(:,3))./( CONSTANTS(:,19).*CONSTANTS(:,20));
ALGEBRAIC(:,57) = ( ALGEBRAIC(:,51).*power(ALGEBRAIC(:,15), 2.00000))./( 1.00000.*CONSTANTS(:,19).*CONSTANTS(:,22).*CONSTANTS(:,16));
ALGEBRAIC(:,52) = ALGEBRAIC(:,51)./CONSTANTS(:,19);
ALGEBRAIC(:,24) = ( STATES(:,3).*power(ALGEBRAIC(:,15), 2.00000))./( 1.00000.*CONSTANTS(:,20).*CONSTANTS(:,22).*CONSTANTS(:,17));
ALGEBRAIC(:,10) = STATES(:,3)./CONSTANTS(:,20);
ALGEBRAIC(:,16) = power(ALGEBRAIC(:,15), 2.00000)./( 1.00000.*CONSTANTS(:,22));
ALGEBRAIC(:,19) = CONSTANTS(:,53)+ALGEBRAIC(:,16);
ALGEBRAIC(:,22) = ALGEBRAIC(:,19)+ALGEBRAIC(:,11);
ALGEBRAIC(:,38) = ALGEBRAIC(:,22)+ALGEBRAIC(:,27);
ALGEBRAIC(:,40) = ALGEBRAIC(:,38)+ALGEBRAIC(:,10);
ALGEBRAIC(:,42) = ALGEBRAIC(:,40)+ALGEBRAIC(:,24);
ALGEBRAIC(:,45) = ALGEBRAIC(:,42)+ALGEBRAIC(:,13);
ALGEBRAIC(:,50) = ALGEBRAIC(:,45)+ALGEBRAIC(:,46);
ALGEBRAIC(:,53) = ALGEBRAIC(:,50)+ALGEBRAIC(:,52);
ALGEBRAIC(:,58) = ALGEBRAIC(:,53)+ALGEBRAIC(:,57);
ALGEBRAIC(:,59) = ALGEBRAIC(:,58)+ALGEBRAIC(:,55);
ALGEBRAIC(:,65) = ALGEBRAIC(:,59)+ALGEBRAIC(:,62);
ALGEBRAIC(:,66) = ALGEBRAIC(:,65)+ALGEBRAIC(:,54);
ALGEBRAIC(:,70) = ALGEBRAIC(:,66)+ALGEBRAIC(:,67);
ALGEBRAIC(:,71) = ALGEBRAIC(:,70)+ALGEBRAIC(:,60);
ALGEBRAIC(:,74) = ALGEBRAIC(:,71)+ALGEBRAIC(:,72);
ALGEBRAIC(:,75) = ( CONSTANTS(:,12).*CONSTANTS(:,13).*ALGEBRAIC(:,73)+ CONSTANTS(:,13).*ALGEBRAIC(:,61))./ALGEBRAIC(:,74);
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