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 =70;
end
% There are a total of 7 entries in each of the rate and state variable arrays.
% There are a total of 43 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('V in component membrane (millivolt)');
LEGEND_ALGEBRAIC(:,2) = strpad('IK in component membrane (femtoA)');
LEGEND_ALGEBRAIC(:,5) = strpad('ICa in component membrane (femtoA)');
LEGEND_ALGEBRAIC(:,3) = strpad('IKCa in component membrane (femtoA)');
LEGEND_ALGEBRAIC(:,30) = strpad('IKATP in component KATP (femtoA)');
LEGEND_CONSTANTS(:,1) = strpad('Cm in component membrane (femtoF)');
LEGEND_CONSTANTS(:,2) = strpad('gK in component membrane (picoS)');
LEGEND_CONSTANTS(:,3) = strpad('VK in component KATP (millivolt)');
LEGEND_STATES(:,2) = strpad('n in component membrane (dimensionless)');
LEGEND_CONSTANTS(:,4) = strpad('gKCa in component membrane (picoS)');
LEGEND_CONSTANTS(:,5) = strpad('kd in component membrane (micromolar)');
LEGEND_STATES(:,3) = strpad('c in component calcium_handling (micromolar)');
LEGEND_CONSTANTS(:,6) = strpad('gCa in component membrane (picoS)');
LEGEND_ALGEBRAIC(:,4) = strpad('minf in component membrane (dimensionless)');
LEGEND_CONSTANTS(:,7) = strpad('VCa in component membrane (millivolt)');
LEGEND_CONSTANTS(:,8) = strpad('taun in component membrane (millisecond)');
LEGEND_ALGEBRAIC(:,1) = strpad('ninf in component membrane (dimensionless)');
LEGEND_STATES(:,4) = strpad('cer in component calcium_handling (micromolar)');
LEGEND_CONSTANTS(:,9) = strpad('fcyt in component calcium_handling (dimensionless)');
LEGEND_ALGEBRAIC(:,12) = strpad('Jmem in component calcium_handling (flux)');
LEGEND_ALGEBRAIC(:,10) = strpad('Jer in component calcium_handling (flux)');
LEGEND_CONSTANTS(:,10) = strpad('fer in component calcium_handling (dimensionless)');
LEGEND_CONSTANTS(:,11) = strpad('sigmaV in component calcium_handling (dimensionless)');
LEGEND_CONSTANTS(:,12) = strpad('pleak in component calcium_handling (first_order_rate_constant)');
LEGEND_CONSTANTS(:,13) = strpad('Kserca in component calcium_handling (first_order_rate_constant)');
LEGEND_CONSTANTS(:,14) = strpad('lambdaer in component calcium_handling (dimensionless)');
LEGEND_CONSTANTS(:,15) = strpad('epser in component calcium_handling (dimensionless)');
LEGEND_CONSTANTS(:,16) = strpad('alpha in component calcium_handling (micromolar_per_femtoA_millisecond)');
LEGEND_CONSTANTS(:,17) = strpad('kpmca in component calcium_handling (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,6) = strpad('Jserca in component calcium_handling (flux)');
LEGEND_ALGEBRAIC(:,8) = strpad('Jleak in component calcium_handling (flux)');
LEGEND_ALGEBRAIC(:,9) = strpad('rgpdh in component glycolysis (flux)');
LEGEND_CONSTANTS(:,18) = strpad('Rgk in component glycolysis (per_second)');
LEGEND_CONSTANTS(:,19) = strpad('atot in component glycolysis (micromolar)');
LEGEND_CONSTANTS(:,20) = strpad('pfkbas in component glycolysis (dimensionless)');
LEGEND_ALGEBRAIC(:,7) = strpad('f6p in component glycolysis (micromolar)');
LEGEND_CONSTANTS(:,21) = strpad('lambda in component glycolysis (dimensionless)');
LEGEND_ALGEBRAIC(:,70) = strpad('pfk in component pfk (micromolar)');
LEGEND_STATES(:,5) = strpad('g6p in component glycolysis (micromolar)');
LEGEND_STATES(:,6) = strpad('fbp in component glycolysis (micromolar)');
LEGEND_CONSTANTS(:,22) = strpad('bottom1 in component pfk (dimensionless)');
LEGEND_CONSTANTS(:,23) = strpad('topa1 in component pfk (dimensionless)');
LEGEND_CONSTANTS(:,24) = strpad('k1 in component pfk (micromolar)');
LEGEND_CONSTANTS(:,25) = strpad('k2 in component pfk (micromolar)');
LEGEND_CONSTANTS(:,26) = strpad('k3 in component pfk (micromolar)');
LEGEND_CONSTANTS(:,27) = strpad('k4 in component pfk (micromolar)');
LEGEND_CONSTANTS(:,28) = strpad('cat in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,22) = strpad('atp in component nucleotides (micromolar)');
LEGEND_ALGEBRAIC(:,23) = strpad('weight2 in component pfk (dimensionless)');
LEGEND_CONSTANTS(:,43) = strpad('topa2 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,26) = strpad('bottom2 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,13) = strpad('topa3 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,11) = strpad('weight3 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,29) = strpad('bottom3 in component pfk (dimensionless)');
LEGEND_CONSTANTS(:,29) = strpad('famp in component pfk (dimensionless)');
LEGEND_CONSTANTS(:,30) = strpad('fatp in component pfk (dimensionless)');
LEGEND_CONSTANTS(:,31) = strpad('ffbp in component pfk (dimensionless)');
LEGEND_CONSTANTS(:,32) = strpad('fbt in component pfk (dimensionless)');
LEGEND_CONSTANTS(:,33) = strpad('fmt in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,31) = strpad('weight4 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,32) = strpad('topa4 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,33) = strpad('bottom4 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,14) = strpad('weight5 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,34) = strpad('topa5 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,35) = strpad('bottom5 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,36) = strpad('weight6 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,37) = strpad('topa6 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,38) = strpad('bottom6 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,15) = strpad('weight7 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,39) = strpad('topa7 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,40) = strpad('bottom7 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,41) = strpad('weight8 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,42) = strpad('topa8 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,43) = strpad('bottom8 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,47) = strpad('weight9 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,44) = strpad('topa9 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,48) = strpad('bottom9 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,49) = strpad('weight10 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,45) = strpad('topa10 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,50) = strpad('bottom10 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,51) = strpad('weight11 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,52) = strpad('topa11 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,53) = strpad('bottom11 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,54) = strpad('weight12 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,55) = strpad('topa12 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,56) = strpad('bottom12 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,57) = strpad('weight13 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,58) = strpad('topa13 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,59) = strpad('bottom13 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,60) = strpad('weight14 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,61) = strpad('topa14 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,62) = strpad('bottom14 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,63) = strpad('weight15 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,64) = strpad('topa15 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,65) = strpad('bottom15 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,67) = strpad('weight16 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,68) = strpad('topa16 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,69) = strpad('bottom16 in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,66) = strpad('topb in component pfk (dimensionless)');
LEGEND_ALGEBRAIC(:,46) = strpad('amp in component nucleotides (micromolar)');
LEGEND_ALGEBRAIC(:,16) = strpad('mgadp in component KATP (micromolar)');
LEGEND_ALGEBRAIC(:,17) = strpad('adp3m in component KATP (micromolar)');
LEGEND_ALGEBRAIC(:,24) = strpad('atp4m in component KATP (micromolar)');
LEGEND_ALGEBRAIC(:,18) = strpad('topo in component KATP (dimensionless)');
LEGEND_ALGEBRAIC(:,27) = strpad('bottomo in component KATP (dimensionless)');
LEGEND_ALGEBRAIC(:,28) = strpad('katpo in component KATP (dimensionless)');
LEGEND_CONSTANTS(:,34) = strpad('gkatpbar in component KATP (picoS)');
LEGEND_STATES(:,7) = strpad('adp in component nucleotides (micromolar)');
LEGEND_CONSTANTS(:,35) = strpad('kdd in component KATP (dimensionless)');
LEGEND_CONSTANTS(:,36) = strpad('ktd in component KATP (dimensionless)');
LEGEND_CONSTANTS(:,37) = strpad('ktt in component KATP (dimensionless)');
LEGEND_ALGEBRAIC(:,20) = strpad('fback in component nucleotides (dimensionless)');
LEGEND_CONSTANTS(:,38) = strpad('taua in component nucleotides (dimensionless)');
LEGEND_CONSTANTS(:,39) = strpad('r1 in component nucleotides (micromolar)');
LEGEND_CONSTANTS(:,40) = strpad('r in component nucleotides (dimensionless)');
LEGEND_ALGEBRAIC(:,19) = strpad('y in component nucleotides (dimensionless)');
LEGEND_CONSTANTS(:,41) = strpad('vg in component nucleotides (dimensionless)');
LEGEND_CONSTANTS(:,42) = strpad('kg in component nucleotides (flux)');
LEGEND_ALGEBRAIC(:,21) = strpad('rad in component nucleotides (dimensionless)');
LEGEND_ALGEBRAIC(:,25) = strpad('ratio in component nucleotides (dimensionless)');
LEGEND_RATES(:,1) = strpad('d/dt V in component membrane (millivolt)');
LEGEND_RATES(:,2) = strpad('d/dt n in component membrane (dimensionless)');
LEGEND_RATES(:,3) = strpad('d/dt c in component calcium_handling (micromolar)');
LEGEND_RATES(:,4) = strpad('d/dt cer in component calcium_handling (micromolar)');
LEGEND_RATES(:,6) = strpad('d/dt fbp in component glycolysis (micromolar)');
LEGEND_RATES(:,5) = strpad('d/dt g6p in component glycolysis (micromolar)');
LEGEND_RATES(:,7) = strpad('d/dt adp in component nucleotides (micromolar)');
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) = -60;
CONSTANTS(:,1) = 5300;
CONSTANTS(:,2) = 2700;
CONSTANTS(:,3) = -75;
STATES(:,2) = 0;
CONSTANTS(:,4) = 600;
CONSTANTS(:,5) = 0.5;
STATES(:,3) = 0.25;
CONSTANTS(:,6) = 1000;
CONSTANTS(:,7) = 25;
CONSTANTS(:,8) = 20;
STATES(:,4) = 185;
CONSTANTS(:,9) = 0.01;
CONSTANTS(:,10) = 0.01;
CONSTANTS(:,11) = 31;
CONSTANTS(:,12) = 0.0002;
CONSTANTS(:,13) = 0.4;
CONSTANTS(:,14) = 1;
CONSTANTS(:,15) = 1;
CONSTANTS(:,16) = 0.00000450;
CONSTANTS(:,17) = 0.2;
CONSTANTS(:,18) = 0.2;
CONSTANTS(:,19) = 3000;
CONSTANTS(:,20) = 0.06;
CONSTANTS(:,21) = 0.005;
STATES(:,5) = 200;
STATES(:,6) = 40;
CONSTANTS(:,22) = 1;
CONSTANTS(:,23) = 0;
CONSTANTS(:,24) = 30;
CONSTANTS(:,25) = 1;
CONSTANTS(:,26) = 50000;
CONSTANTS(:,27) = 1000;
CONSTANTS(:,28) = 2;
CONSTANTS(:,29) = 0.02;
CONSTANTS(:,30) = 20;
CONSTANTS(:,31) = 0.2;
CONSTANTS(:,32) = 20;
CONSTANTS(:,33) = 20;
CONSTANTS(:,34) = 25000;
STATES(:,7) = 780;
CONSTANTS(:,35) = 17;
CONSTANTS(:,36) = 26;
CONSTANTS(:,37) = 1;
CONSTANTS(:,38) = 300000;
CONSTANTS(:,39) = 0.35;
CONSTANTS(:,40) = 1;
CONSTANTS(:,41) = 2.2;
CONSTANTS(:,42) = 10;
CONSTANTS(:,43) = CONSTANTS(:,23);
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(:,1) = 1.00000./(1.00000+exp( - (16.0000+STATES(:,1)./1.00000)./5.00000));
RATES(:,2) = (ALGEBRAIC(:,1) - STATES(:,2))./CONSTANTS(:,8);
ALGEBRAIC(:,6) = CONSTANTS(:,13).*STATES(:,3);
ALGEBRAIC(:,8) = CONSTANTS(:,12).*(STATES(:,4) - STATES(:,3));
ALGEBRAIC(:,10) = ( CONSTANTS(:,15).*(ALGEBRAIC(:,8) - ALGEBRAIC(:,6)))./CONSTANTS(:,14);
RATES(:,4) = - CONSTANTS(:,10).*CONSTANTS(:,11).*ALGEBRAIC(:,10);
ALGEBRAIC(:,4) = 1.00000./(1.00000+exp( - (20.0000+STATES(:,1)./1.00000)./12.0000));
ALGEBRAIC(:,5) = CONSTANTS(:,6).*ALGEBRAIC(:,4).*(STATES(:,1) - CONSTANTS(:,7));
ALGEBRAIC(:,12) = - ( CONSTANTS(:,16).*ALGEBRAIC(:,5)+ CONSTANTS(:,17).*STATES(:,3));
RATES(:,3) = CONSTANTS(:,9).*(ALGEBRAIC(:,12)+ALGEBRAIC(:,10));
ALGEBRAIC(:,21) = power(abs(power(STATES(:,7) - CONSTANTS(:,19), 2.00000) - 4.00000.*power(STATES(:,7), 2.00000)), 1.0 ./ 2)./1.00000;
ALGEBRAIC(:,22) = 0.500000.*((CONSTANTS(:,19) - STATES(:,7))+ ALGEBRAIC(:,21).*1.00000);
ALGEBRAIC(:,9) = 0.200000.*power(abs(( STATES(:,6).*1.00000)./power(1.00000, 2.00000)), 1.0 ./ 2);
ALGEBRAIC(:,19) = CONSTANTS(:,41).*(ALGEBRAIC(:,9)./(CONSTANTS(:,42)+ALGEBRAIC(:,9)));
ALGEBRAIC(:,20) = CONSTANTS(:,40)+ALGEBRAIC(:,19);
RATES(:,7) = (ALGEBRAIC(:,22) - STATES(:,7).*exp( ALGEBRAIC(:,20).*(1.00000 - STATES(:,3)./CONSTANTS(:,39))))./( CONSTANTS(:,38).*1.00000);
ALGEBRAIC(:,2) = CONSTANTS(:,2).*STATES(:,2).*(STATES(:,1) - CONSTANTS(:,3));
ALGEBRAIC(:,3) = (CONSTANTS(:,4)./(1.00000+power(CONSTANTS(:,5)./STATES(:,3), 2.00000))).*(STATES(:,1) - CONSTANTS(:,3));
ALGEBRAIC(:,16) = 0.165000.*STATES(:,7);
ALGEBRAIC(:,18) = 0.0800000.*(1.00000+( 2.00000.*ALGEBRAIC(:,16))./( CONSTANTS(:,35).*1.00000))+ 0.890000.*power(ALGEBRAIC(:,16)./( CONSTANTS(:,35).*1.00000), 2.00000);
ALGEBRAIC(:,17) = 0.135000.*STATES(:,7);
ALGEBRAIC(:,24) = 0.0500000.*ALGEBRAIC(:,22);
ALGEBRAIC(:,27) = power(1.00000+ALGEBRAIC(:,16)./( CONSTANTS(:,35).*1.00000), 2.00000).*(1.00000+ALGEBRAIC(:,17)./( CONSTANTS(:,36).*1.00000)+ALGEBRAIC(:,24)./( CONSTANTS(:,37).*1.00000));
ALGEBRAIC(:,28) = ALGEBRAIC(:,18)./ALGEBRAIC(:,27);
ALGEBRAIC(:,30) = CONSTANTS(:,34).*ALGEBRAIC(:,28).*(STATES(:,1) - CONSTANTS(:,3));
RATES(:,1) = - (ALGEBRAIC(:,2)+ALGEBRAIC(:,5)+ALGEBRAIC(:,3)+ALGEBRAIC(:,30))./CONSTANTS(:,1);
ALGEBRAIC(:,7) = 0.300000.*STATES(:,5);
ALGEBRAIC(:,11) = power(ALGEBRAIC(:,7), 2.00000)./( CONSTANTS(:,26).*1.00000);
ALGEBRAIC(:,13) = CONSTANTS(:,43)+ALGEBRAIC(:,11);
ALGEBRAIC(:,31) = power( ALGEBRAIC(:,7).*ALGEBRAIC(:,22), 2.00000)./( CONSTANTS(:,30).*CONSTANTS(:,26).*CONSTANTS(:,27).*power(1.00000, 2.00000));
ALGEBRAIC(:,32) = ALGEBRAIC(:,13)+ALGEBRAIC(:,31);
ALGEBRAIC(:,34) = ALGEBRAIC(:,32);
ALGEBRAIC(:,37) = ALGEBRAIC(:,34);
ALGEBRAIC(:,15) = ( STATES(:,6).*power(ALGEBRAIC(:,7), 2.00000))./( CONSTANTS(:,25).*CONSTANTS(:,26).*CONSTANTS(:,31).*1.00000);
ALGEBRAIC(:,39) = ALGEBRAIC(:,37)+ALGEBRAIC(:,15);
ALGEBRAIC(:,41) = ( STATES(:,6).*power(ALGEBRAIC(:,7), 2.00000).*power(ALGEBRAIC(:,22), 2.00000))./( CONSTANTS(:,25).*CONSTANTS(:,26).*CONSTANTS(:,27).*CONSTANTS(:,31).*CONSTANTS(:,32).*CONSTANTS(:,30).*power(1.00000, 2.00000));
ALGEBRAIC(:,42) = ALGEBRAIC(:,39)+ALGEBRAIC(:,41);
ALGEBRAIC(:,44) = ALGEBRAIC(:,42);
ALGEBRAIC(:,45) = ALGEBRAIC(:,44);
ALGEBRAIC(:,46) = ( STATES(:,7).*STATES(:,7))./ALGEBRAIC(:,22);
ALGEBRAIC(:,51) = ( ALGEBRAIC(:,46).*power(ALGEBRAIC(:,7), 2.00000))./( CONSTANTS(:,24).*CONSTANTS(:,26).*CONSTANTS(:,29).*1.00000);
ALGEBRAIC(:,52) = ALGEBRAIC(:,45)+ALGEBRAIC(:,51);
ALGEBRAIC(:,54) = ( ALGEBRAIC(:,46).*power(ALGEBRAIC(:,7), 2.00000).*power(ALGEBRAIC(:,22), 2.00000))./( CONSTANTS(:,24).*CONSTANTS(:,26).*CONSTANTS(:,27).*CONSTANTS(:,29).*CONSTANTS(:,33).*CONSTANTS(:,30).*power(1.00000, 2.00000));
ALGEBRAIC(:,55) = ALGEBRAIC(:,52)+ALGEBRAIC(:,54);
ALGEBRAIC(:,58) = ALGEBRAIC(:,55);
ALGEBRAIC(:,61) = ALGEBRAIC(:,58);
ALGEBRAIC(:,64) = ALGEBRAIC(:,61);
ALGEBRAIC(:,67) = ( ALGEBRAIC(:,46).*STATES(:,6).*power(ALGEBRAIC(:,7), 2.00000).*power(ALGEBRAIC(:,22), 2.00000))./( CONSTANTS(:,24).*CONSTANTS(:,25).*CONSTANTS(:,26).*CONSTANTS(:,27).*CONSTANTS(:,31).*CONSTANTS(:,29).*CONSTANTS(:,32).*CONSTANTS(:,33).*CONSTANTS(:,30).*power(1.00000, 2.00000));
ALGEBRAIC(:,68) = ALGEBRAIC(:,64)+ALGEBRAIC(:,67);
ALGEBRAIC(:,23) = power(ALGEBRAIC(:,22), 2.00000)./( CONSTANTS(:,27).*1.00000);
ALGEBRAIC(:,26) = CONSTANTS(:,22)+ALGEBRAIC(:,23);
ALGEBRAIC(:,29) = ALGEBRAIC(:,26)+ALGEBRAIC(:,11);
ALGEBRAIC(:,33) = ALGEBRAIC(:,29)+ALGEBRAIC(:,31);
ALGEBRAIC(:,14) = STATES(:,6)./CONSTANTS(:,25);
ALGEBRAIC(:,35) = ALGEBRAIC(:,33)+ALGEBRAIC(:,14);
ALGEBRAIC(:,36) = ( STATES(:,6).*power(ALGEBRAIC(:,22), 2.00000))./( CONSTANTS(:,25).*CONSTANTS(:,27).*CONSTANTS(:,32).*1.00000);
ALGEBRAIC(:,38) = ALGEBRAIC(:,35)+ALGEBRAIC(:,36);
ALGEBRAIC(:,40) = ALGEBRAIC(:,38)+ALGEBRAIC(:,15);
ALGEBRAIC(:,43) = ALGEBRAIC(:,40)+ALGEBRAIC(:,41);
ALGEBRAIC(:,47) = ALGEBRAIC(:,46)./CONSTANTS(:,24);
ALGEBRAIC(:,48) = ALGEBRAIC(:,43)+ALGEBRAIC(:,47);
ALGEBRAIC(:,49) = ( ALGEBRAIC(:,46).*power(ALGEBRAIC(:,22), 2.00000))./( CONSTANTS(:,24).*CONSTANTS(:,27).*CONSTANTS(:,33).*1.00000);
ALGEBRAIC(:,50) = ALGEBRAIC(:,48)+ALGEBRAIC(:,49);
ALGEBRAIC(:,53) = ALGEBRAIC(:,50)+ALGEBRAIC(:,51);
ALGEBRAIC(:,56) = ALGEBRAIC(:,53)+ALGEBRAIC(:,54);
ALGEBRAIC(:,57) = ( ALGEBRAIC(:,46).*STATES(:,6))./( CONSTANTS(:,24).*CONSTANTS(:,25));
ALGEBRAIC(:,59) = ALGEBRAIC(:,56)+ALGEBRAIC(:,57);
ALGEBRAIC(:,60) = ( ALGEBRAIC(:,46).*STATES(:,6).*power(ALGEBRAIC(:,22), 2.00000))./( CONSTANTS(:,24).*CONSTANTS(:,25).*CONSTANTS(:,27).*CONSTANTS(:,32).*CONSTANTS(:,33).*1.00000);
ALGEBRAIC(:,62) = ALGEBRAIC(:,59)+ALGEBRAIC(:,60);
ALGEBRAIC(:,63) = ( ALGEBRAIC(:,46).*STATES(:,6).*power(ALGEBRAIC(:,7), 2.00000))./( CONSTANTS(:,24).*CONSTANTS(:,25).*CONSTANTS(:,26).*CONSTANTS(:,31).*CONSTANTS(:,29).*1.00000);
ALGEBRAIC(:,65) = ALGEBRAIC(:,62)+ALGEBRAIC(:,63);
ALGEBRAIC(:,69) = ALGEBRAIC(:,65)+ALGEBRAIC(:,67);
ALGEBRAIC(:,66) = ALGEBRAIC(:,63);
ALGEBRAIC(:,70) = 1.00000.*(( CONSTANTS(:,20).*CONSTANTS(:,28).*ALGEBRAIC(:,68)+ CONSTANTS(:,28).*ALGEBRAIC(:,66))./ALGEBRAIC(:,69));
RATES(:,6) = CONSTANTS(:,21).*(ALGEBRAIC(:,70)./1.00000 - 0.500000.*ALGEBRAIC(:,9));
RATES(:,5) = CONSTANTS(:,21).*( CONSTANTS(:,18).*1.00000 - ALGEBRAIC(:,70)./1.00000);
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(:,1) = 1.00000./(1.00000+exp( - (16.0000+STATES(:,1)./1.00000)./5.00000));
ALGEBRAIC(:,6) = CONSTANTS(:,13).*STATES(:,3);
ALGEBRAIC(:,8) = CONSTANTS(:,12).*(STATES(:,4) - STATES(:,3));
ALGEBRAIC(:,10) = ( CONSTANTS(:,15).*(ALGEBRAIC(:,8) - ALGEBRAIC(:,6)))./CONSTANTS(:,14);
ALGEBRAIC(:,4) = 1.00000./(1.00000+exp( - (20.0000+STATES(:,1)./1.00000)./12.0000));
ALGEBRAIC(:,5) = CONSTANTS(:,6).*ALGEBRAIC(:,4).*(STATES(:,1) - CONSTANTS(:,7));
ALGEBRAIC(:,12) = - ( CONSTANTS(:,16).*ALGEBRAIC(:,5)+ CONSTANTS(:,17).*STATES(:,3));
ALGEBRAIC(:,21) = power(abs(power(STATES(:,7) - CONSTANTS(:,19), 2.00000) - 4.00000.*power(STATES(:,7), 2.00000)), 1.0 ./ 2)./1.00000;
ALGEBRAIC(:,22) = 0.500000.*((CONSTANTS(:,19) - STATES(:,7))+ ALGEBRAIC(:,21).*1.00000);
ALGEBRAIC(:,9) = 0.200000.*power(abs(( STATES(:,6).*1.00000)./power(1.00000, 2.00000)), 1.0 ./ 2);
ALGEBRAIC(:,19) = CONSTANTS(:,41).*(ALGEBRAIC(:,9)./(CONSTANTS(:,42)+ALGEBRAIC(:,9)));
ALGEBRAIC(:,20) = CONSTANTS(:,40)+ALGEBRAIC(:,19);
ALGEBRAIC(:,2) = CONSTANTS(:,2).*STATES(:,2).*(STATES(:,1) - CONSTANTS(:,3));
ALGEBRAIC(:,3) = (CONSTANTS(:,4)./(1.00000+power(CONSTANTS(:,5)./STATES(:,3), 2.00000))).*(STATES(:,1) - CONSTANTS(:,3));
ALGEBRAIC(:,16) = 0.165000.*STATES(:,7);
ALGEBRAIC(:,18) = 0.0800000.*(1.00000+( 2.00000.*ALGEBRAIC(:,16))./( CONSTANTS(:,35).*1.00000))+ 0.890000.*power(ALGEBRAIC(:,16)./( CONSTANTS(:,35).*1.00000), 2.00000);
ALGEBRAIC(:,17) = 0.135000.*STATES(:,7);
ALGEBRAIC(:,24) = 0.0500000.*ALGEBRAIC(:,22);
ALGEBRAIC(:,27) = power(1.00000+ALGEBRAIC(:,16)./( CONSTANTS(:,35).*1.00000), 2.00000).*(1.00000+ALGEBRAIC(:,17)./( CONSTANTS(:,36).*1.00000)+ALGEBRAIC(:,24)./( CONSTANTS(:,37).*1.00000));
ALGEBRAIC(:,28) = ALGEBRAIC(:,18)./ALGEBRAIC(:,27);
ALGEBRAIC(:,30) = CONSTANTS(:,34).*ALGEBRAIC(:,28).*(STATES(:,1) - CONSTANTS(:,3));
ALGEBRAIC(:,7) = 0.300000.*STATES(:,5);
ALGEBRAIC(:,11) = power(ALGEBRAIC(:,7), 2.00000)./( CONSTANTS(:,26).*1.00000);
ALGEBRAIC(:,13) = CONSTANTS(:,43)+ALGEBRAIC(:,11);
ALGEBRAIC(:,31) = power( ALGEBRAIC(:,7).*ALGEBRAIC(:,22), 2.00000)./( CONSTANTS(:,30).*CONSTANTS(:,26).*CONSTANTS(:,27).*power(1.00000, 2.00000));
ALGEBRAIC(:,32) = ALGEBRAIC(:,13)+ALGEBRAIC(:,31);
ALGEBRAIC(:,34) = ALGEBRAIC(:,32);
ALGEBRAIC(:,37) = ALGEBRAIC(:,34);
ALGEBRAIC(:,15) = ( STATES(:,6).*power(ALGEBRAIC(:,7), 2.00000))./( CONSTANTS(:,25).*CONSTANTS(:,26).*CONSTANTS(:,31).*1.00000);
ALGEBRAIC(:,39) = ALGEBRAIC(:,37)+ALGEBRAIC(:,15);
ALGEBRAIC(:,41) = ( STATES(:,6).*power(ALGEBRAIC(:,7), 2.00000).*power(ALGEBRAIC(:,22), 2.00000))./( CONSTANTS(:,25).*CONSTANTS(:,26).*CONSTANTS(:,27).*CONSTANTS(:,31).*CONSTANTS(:,32).*CONSTANTS(:,30).*power(1.00000, 2.00000));
ALGEBRAIC(:,42) = ALGEBRAIC(:,39)+ALGEBRAIC(:,41);
ALGEBRAIC(:,44) = ALGEBRAIC(:,42);
ALGEBRAIC(:,45) = ALGEBRAIC(:,44);
ALGEBRAIC(:,46) = ( STATES(:,7).*STATES(:,7))./ALGEBRAIC(:,22);
ALGEBRAIC(:,51) = ( ALGEBRAIC(:,46).*power(ALGEBRAIC(:,7), 2.00000))./( CONSTANTS(:,24).*CONSTANTS(:,26).*CONSTANTS(:,29).*1.00000);
ALGEBRAIC(:,52) = ALGEBRAIC(:,45)+ALGEBRAIC(:,51);
ALGEBRAIC(:,54) = ( ALGEBRAIC(:,46).*power(ALGEBRAIC(:,7), 2.00000).*power(ALGEBRAIC(:,22), 2.00000))./( CONSTANTS(:,24).*CONSTANTS(:,26).*CONSTANTS(:,27).*CONSTANTS(:,29).*CONSTANTS(:,33).*CONSTANTS(:,30).*power(1.00000, 2.00000));
ALGEBRAIC(:,55) = ALGEBRAIC(:,52)+ALGEBRAIC(:,54);
ALGEBRAIC(:,58) = ALGEBRAIC(:,55);
ALGEBRAIC(:,61) = ALGEBRAIC(:,58);
ALGEBRAIC(:,64) = ALGEBRAIC(:,61);
ALGEBRAIC(:,67) = ( ALGEBRAIC(:,46).*STATES(:,6).*power(ALGEBRAIC(:,7), 2.00000).*power(ALGEBRAIC(:,22), 2.00000))./( CONSTANTS(:,24).*CONSTANTS(:,25).*CONSTANTS(:,26).*CONSTANTS(:,27).*CONSTANTS(:,31).*CONSTANTS(:,29).*CONSTANTS(:,32).*CONSTANTS(:,33).*CONSTANTS(:,30).*power(1.00000, 2.00000));
ALGEBRAIC(:,68) = ALGEBRAIC(:,64)+ALGEBRAIC(:,67);
ALGEBRAIC(:,23) = power(ALGEBRAIC(:,22), 2.00000)./( CONSTANTS(:,27).*1.00000);
ALGEBRAIC(:,26) = CONSTANTS(:,22)+ALGEBRAIC(:,23);
ALGEBRAIC(:,29) = ALGEBRAIC(:,26)+ALGEBRAIC(:,11);
ALGEBRAIC(:,33) = ALGEBRAIC(:,29)+ALGEBRAIC(:,31);
ALGEBRAIC(:,14) = STATES(:,6)./CONSTANTS(:,25);
ALGEBRAIC(:,35) = ALGEBRAIC(:,33)+ALGEBRAIC(:,14);
ALGEBRAIC(:,36) = ( STATES(:,6).*power(ALGEBRAIC(:,22), 2.00000))./( CONSTANTS(:,25).*CONSTANTS(:,27).*CONSTANTS(:,32).*1.00000);
ALGEBRAIC(:,38) = ALGEBRAIC(:,35)+ALGEBRAIC(:,36);
ALGEBRAIC(:,40) = ALGEBRAIC(:,38)+ALGEBRAIC(:,15);
ALGEBRAIC(:,43) = ALGEBRAIC(:,40)+ALGEBRAIC(:,41);
ALGEBRAIC(:,47) = ALGEBRAIC(:,46)./CONSTANTS(:,24);
ALGEBRAIC(:,48) = ALGEBRAIC(:,43)+ALGEBRAIC(:,47);
ALGEBRAIC(:,49) = ( ALGEBRAIC(:,46).*power(ALGEBRAIC(:,22), 2.00000))./( CONSTANTS(:,24).*CONSTANTS(:,27).*CONSTANTS(:,33).*1.00000);
ALGEBRAIC(:,50) = ALGEBRAIC(:,48)+ALGEBRAIC(:,49);
ALGEBRAIC(:,53) = ALGEBRAIC(:,50)+ALGEBRAIC(:,51);
ALGEBRAIC(:,56) = ALGEBRAIC(:,53)+ALGEBRAIC(:,54);
ALGEBRAIC(:,57) = ( ALGEBRAIC(:,46).*STATES(:,6))./( CONSTANTS(:,24).*CONSTANTS(:,25));
ALGEBRAIC(:,59) = ALGEBRAIC(:,56)+ALGEBRAIC(:,57);
ALGEBRAIC(:,60) = ( ALGEBRAIC(:,46).*STATES(:,6).*power(ALGEBRAIC(:,22), 2.00000))./( CONSTANTS(:,24).*CONSTANTS(:,25).*CONSTANTS(:,27).*CONSTANTS(:,32).*CONSTANTS(:,33).*1.00000);
ALGEBRAIC(:,62) = ALGEBRAIC(:,59)+ALGEBRAIC(:,60);
ALGEBRAIC(:,63) = ( ALGEBRAIC(:,46).*STATES(:,6).*power(ALGEBRAIC(:,7), 2.00000))./( CONSTANTS(:,24).*CONSTANTS(:,25).*CONSTANTS(:,26).*CONSTANTS(:,31).*CONSTANTS(:,29).*1.00000);
ALGEBRAIC(:,65) = ALGEBRAIC(:,62)+ALGEBRAIC(:,63);
ALGEBRAIC(:,69) = ALGEBRAIC(:,65)+ALGEBRAIC(:,67);
ALGEBRAIC(:,66) = ALGEBRAIC(:,63);
ALGEBRAIC(:,70) = 1.00000.*(( CONSTANTS(:,20).*CONSTANTS(:,28).*ALGEBRAIC(:,68)+ CONSTANTS(:,28).*ALGEBRAIC(:,66))./ALGEBRAIC(:,69));
ALGEBRAIC(:,25) = ALGEBRAIC(:,22)./STATES(:,7);
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