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 =15;
end
% There are a total of 5 entries in each of the rate and state variable arrays.
% There are a total of 24 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 (minute)');
LEGEND_STATES(:,1) = strpad('y0 in component y0 (dimensionless)');
LEGEND_ALGEBRAIC(:,11) = strpad('g0 in component y0 (dimensionless)');
LEGEND_ALGEBRAIC(:,6) = strpad('r0 in component y0 (dimensionless)');
LEGEND_ALGEBRAIC(:,1) = strpad('h0 in component y0 (dimensionless)');
LEGEND_CONSTANTS(:,1) = strpad('S0 in component y0 (dimensionless)');
LEGEND_STATES(:,2) = strpad('y2 in component y2 (dimensionless)');
LEGEND_CONSTANTS(:,2) = strpad('a00 in component model_parameters (dimensionless)');
LEGEND_CONSTANTS(:,3) = strpad('a02 in component model_parameters (dimensionless)');
LEGEND_CONSTANTS(:,4) = strpad('c0 in component model_parameters (first_order_rate_constant)');
LEGEND_CONSTANTS(:,5) = strpad('e0 in component model_parameters (first_order_rate_constant)');
LEGEND_CONSTANTS(:,6) = strpad('epsilon in component model_parameters (dimensionless)');
LEGEND_STATES(:,3) = strpad('y1 in component y1 (dimensionless)');
LEGEND_ALGEBRAIC(:,12) = strpad('g1 in component y1 (dimensionless)');
LEGEND_ALGEBRAIC(:,7) = strpad('r1 in component y1 (dimensionless)');
LEGEND_ALGEBRAIC(:,2) = strpad('h1 in component y1 (dimensionless)');
LEGEND_CONSTANTS(:,7) = strpad('S1 in component y1 (dimensionless)');
LEGEND_CONSTANTS(:,8) = strpad('a10 in component model_parameters (dimensionless)');
LEGEND_CONSTANTS(:,9) = strpad('a12 in component model_parameters (dimensionless)');
LEGEND_CONSTANTS(:,10) = strpad('a11 in component model_parameters (dimensionless)');
LEGEND_CONSTANTS(:,11) = strpad('e1 in component model_parameters (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,13) = strpad('g2 in component y2 (dimensionless)');
LEGEND_ALGEBRAIC(:,8) = strpad('r2 in component y2 (dimensionless)');
LEGEND_ALGEBRAIC(:,3) = strpad('h2 in component y2 (dimensionless)');
LEGEND_CONSTANTS(:,12) = strpad('S2 in component y2 (dimensionless)');
LEGEND_STATES(:,4) = strpad('y3 in component y3 (dimensionless)');
LEGEND_STATES(:,5) = strpad('y4 in component y4 (dimensionless)');
LEGEND_CONSTANTS(:,13) = strpad('a23 in component model_parameters (dimensionless)');
LEGEND_CONSTANTS(:,14) = strpad('a24 in component model_parameters (dimensionless)');
LEGEND_CONSTANTS(:,15) = strpad('a20 in component model_parameters (dimensionless)');
LEGEND_CONSTANTS(:,16) = strpad('a21 in component model_parameters (dimensionless)');
LEGEND_CONSTANTS(:,17) = strpad('a22 in component model_parameters (dimensionless)');
LEGEND_CONSTANTS(:,18) = strpad('e2 in component model_parameters (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,14) = strpad('g3 in component y3 (dimensionless)');
LEGEND_ALGEBRAIC(:,9) = strpad('r3 in component y3 (dimensionless)');
LEGEND_ALGEBRAIC(:,4) = strpad('h3 in component y3 (dimensionless)');
LEGEND_CONSTANTS(:,19) = strpad('S3 in component y3 (dimensionless)');
LEGEND_CONSTANTS(:,20) = strpad('a32 in component model_parameters (dimensionless)');
LEGEND_CONSTANTS(:,21) = strpad('a33 in component model_parameters (dimensionless)');
LEGEND_ALGEBRAIC(:,15) = strpad('g4 in component y4 (dimensionless)');
LEGEND_ALGEBRAIC(:,10) = strpad('r4 in component y4 (dimensionless)');
LEGEND_ALGEBRAIC(:,5) = strpad('h4 in component y4 (dimensionless)');
LEGEND_CONSTANTS(:,22) = strpad('S4 in component y4 (dimensionless)');
LEGEND_CONSTANTS(:,23) = strpad('a42 in component model_parameters (dimensionless)');
LEGEND_CONSTANTS(:,24) = strpad('a44 in component model_parameters (dimensionless)');
LEGEND_RATES(:,1) = strpad('d/dt y0 in component y0 (dimensionless)');
LEGEND_RATES(:,3) = strpad('d/dt y1 in component y1 (dimensionless)');
LEGEND_RATES(:,2) = strpad('d/dt y2 in component y2 (dimensionless)');
LEGEND_RATES(:,4) = strpad('d/dt y3 in component y3 (dimensionless)');
LEGEND_RATES(:,5) = strpad('d/dt y4 in component y4 (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) = 0.4;
CONSTANTS(:,1) = 0.010;
STATES(:,2) = 1.17;
CONSTANTS(:,2) = -0.00843;
CONSTANTS(:,3) = -0.440;
CONSTANTS(:,4) = 0.443;
CONSTANTS(:,5) = 0.0;
CONSTANTS(:,6) = 0.50;
STATES(:,3) = 1.4;
CONSTANTS(:,7) = 0.010;
CONSTANTS(:,8) = 0.082;
CONSTANTS(:,9) = -0.0668;
CONSTANTS(:,10) = -0.0040;
CONSTANTS(:,11) = 0.0;
CONSTANTS(:,12) = 0.010;
STATES(:,4) = 0.95;
STATES(:,5) = 0.65;
CONSTANTS(:,13) = 0.0576;
CONSTANTS(:,14) = 3.25E-4;
CONSTANTS(:,15) = 0.0;
CONSTANTS(:,16) = 0.0310;
CONSTANTS(:,17) = -0.0957;
CONSTANTS(:,18) = 0.0;
CONSTANTS(:,19) = 0.010;
CONSTANTS(:,20) = 0.00869;
CONSTANTS(:,21) = -0.00857;
CONSTANTS(:,22) = 0.010;
CONSTANTS(:,23) = 1.39E-4;
CONSTANTS(:,24) = -1.43E-4;
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(:,6) = piecewise({STATES(:,1)<CONSTANTS(:,6)& CONSTANTS(:,2).*STATES(:,1)+ CONSTANTS(:,3).*STATES(:,2)<0.00000, 1.00000 - exp(( CONSTANTS(:,1).*power(STATES(:,1), 2.00000))./( ( CONSTANTS(:,2).*STATES(:,1)+ CONSTANTS(:,3).*STATES(:,2)).*power(CONSTANTS(:,6) - STATES(:,1), 2.00000))) }, 1.00000);
ALGEBRAIC(:,1) = piecewise({ CONSTANTS(:,2).*STATES(:,1)+ CONSTANTS(:,3).*STATES(:,2)>0.00000, ( CONSTANTS(:,2).*STATES(:,1)+ CONSTANTS(:,3).*STATES(:,2))./(1.00000+ (( CONSTANTS(:,2).*STATES(:,1)+ CONSTANTS(:,3).*STATES(:,2))./CONSTANTS(:,1)).*(1.00000 - exp( - (( CONSTANTS(:,2).*STATES(:,1)+ CONSTANTS(:,3).*STATES(:,2))./CONSTANTS(:,1))))) , CONSTANTS(:,2).*STATES(:,1)+ CONSTANTS(:,3).*STATES(:,2)<=0.00000, CONSTANTS(:,2).*STATES(:,1)+ CONSTANTS(:,3).*STATES(:,2) }, NaN);
ALGEBRAIC(:,11) = ALGEBRAIC(:,1).*ALGEBRAIC(:,6);
RATES(:,1) = 1.00000.*ALGEBRAIC(:,11)+CONSTANTS(:,4)+CONSTANTS(:,5);
ALGEBRAIC(:,7) = piecewise({STATES(:,3)<CONSTANTS(:,6)& CONSTANTS(:,8).*STATES(:,1)+ CONSTANTS(:,10).*STATES(:,3)+ CONSTANTS(:,9).*STATES(:,2)<0.00000, 1.00000 - exp(( CONSTANTS(:,7).*power(STATES(:,3), 2.00000))./( ( CONSTANTS(:,8).*STATES(:,1)+ CONSTANTS(:,10).*STATES(:,3)+ CONSTANTS(:,9).*STATES(:,2)).*power(CONSTANTS(:,6) - STATES(:,3), 2.00000))) }, 1.00000);
ALGEBRAIC(:,2) = piecewise({ CONSTANTS(:,8).*STATES(:,1)+ CONSTANTS(:,10).*STATES(:,3)+ CONSTANTS(:,9).*STATES(:,2)>0.00000, ( CONSTANTS(:,8).*STATES(:,1)+ CONSTANTS(:,10).*STATES(:,3)+ CONSTANTS(:,9).*STATES(:,2))./(1.00000+ (( CONSTANTS(:,8).*STATES(:,1)+ CONSTANTS(:,10).*STATES(:,3)+ CONSTANTS(:,9).*STATES(:,2))./CONSTANTS(:,7)).*(1.00000 - exp( - (( CONSTANTS(:,8).*STATES(:,1)+ CONSTANTS(:,10).*STATES(:,3)+ CONSTANTS(:,9).*STATES(:,2))./CONSTANTS(:,7))))) , CONSTANTS(:,8).*STATES(:,1)+ CONSTANTS(:,10).*STATES(:,3)+ CONSTANTS(:,9).*STATES(:,2)<=0.00000, CONSTANTS(:,8).*STATES(:,1)+ CONSTANTS(:,10).*STATES(:,3)+ CONSTANTS(:,9).*STATES(:,2) }, NaN);
ALGEBRAIC(:,12) = ALGEBRAIC(:,2).*ALGEBRAIC(:,7);
RATES(:,3) = 1.00000.*ALGEBRAIC(:,12)+CONSTANTS(:,11);
ALGEBRAIC(:,8) = piecewise({STATES(:,2)<CONSTANTS(:,6)& CONSTANTS(:,15).*STATES(:,1)+ CONSTANTS(:,16).*STATES(:,3)+ CONSTANTS(:,17).*STATES(:,2)+ CONSTANTS(:,13).*STATES(:,4)+ CONSTANTS(:,14).*STATES(:,5)<0.00000, 1.00000 - exp(( CONSTANTS(:,12).*power(STATES(:,2), 2.00000))./( ( CONSTANTS(:,15).*STATES(:,1)+ CONSTANTS(:,16).*STATES(:,3)+ CONSTANTS(:,17).*STATES(:,2)+ CONSTANTS(:,13).*STATES(:,4)+ CONSTANTS(:,14).*STATES(:,5)).*power(CONSTANTS(:,6) - STATES(:,2), 2.00000))) }, 1.00000);
ALGEBRAIC(:,3) = piecewise({ CONSTANTS(:,15).*STATES(:,1)+ CONSTANTS(:,16).*STATES(:,3)+ CONSTANTS(:,17).*STATES(:,2)+ CONSTANTS(:,13).*STATES(:,4)+ CONSTANTS(:,14).*STATES(:,5)>0.00000, ( CONSTANTS(:,15).*STATES(:,1)+ CONSTANTS(:,16).*STATES(:,3)+ CONSTANTS(:,17).*STATES(:,2)+ CONSTANTS(:,13).*STATES(:,4)+ CONSTANTS(:,14).*STATES(:,5))./(1.00000+ (( CONSTANTS(:,15).*STATES(:,1)+ CONSTANTS(:,16).*STATES(:,3)+ CONSTANTS(:,17).*STATES(:,2)+ CONSTANTS(:,13).*STATES(:,4)+ CONSTANTS(:,14).*STATES(:,5))./CONSTANTS(:,12)).*(1.00000 - exp( - (( CONSTANTS(:,15).*STATES(:,1)+ CONSTANTS(:,16).*STATES(:,3)+ CONSTANTS(:,17).*STATES(:,2)+ CONSTANTS(:,13).*STATES(:,4)+ CONSTANTS(:,14).*STATES(:,5))./CONSTANTS(:,12))))) , CONSTANTS(:,15).*STATES(:,1)+ CONSTANTS(:,16).*STATES(:,3)+ CONSTANTS(:,17).*STATES(:,2)+ CONSTANTS(:,13).*STATES(:,4)+ CONSTANTS(:,14).*STATES(:,5)<=0.00000, CONSTANTS(:,15).*STATES(:,1)+ CONSTANTS(:,16).*STATES(:,3)+ CONSTANTS(:,17).*STATES(:,2)+ CONSTANTS(:,13).*STATES(:,4)+ CONSTANTS(:,14).*STATES(:,5) }, NaN);
ALGEBRAIC(:,13) = ALGEBRAIC(:,3).*ALGEBRAIC(:,8);
RATES(:,2) = 1.00000.*ALGEBRAIC(:,13)+CONSTANTS(:,18);
ALGEBRAIC(:,9) = piecewise({STATES(:,4)<CONSTANTS(:,6)& CONSTANTS(:,20).*STATES(:,2)+ CONSTANTS(:,21).*STATES(:,4)<0.00000, 1.00000 - exp(( CONSTANTS(:,19).*power(STATES(:,4), 2.00000))./( ( CONSTANTS(:,20).*STATES(:,2)+ CONSTANTS(:,21).*STATES(:,4)).*power(CONSTANTS(:,6) - STATES(:,4), 2.00000))) }, 1.00000);
ALGEBRAIC(:,4) = piecewise({ CONSTANTS(:,20).*STATES(:,2)+ CONSTANTS(:,21).*STATES(:,4)>0.00000, ( CONSTANTS(:,20).*STATES(:,2)+ CONSTANTS(:,21).*STATES(:,4))./(1.00000+ (( CONSTANTS(:,20).*STATES(:,2)+ CONSTANTS(:,21).*STATES(:,4))./CONSTANTS(:,19)).*(1.00000 - exp( - (( CONSTANTS(:,20).*STATES(:,2)+ CONSTANTS(:,21).*STATES(:,4))./CONSTANTS(:,19))))) , CONSTANTS(:,20).*STATES(:,2)+ CONSTANTS(:,21).*STATES(:,4)<=0.00000, CONSTANTS(:,20).*STATES(:,2)+ CONSTANTS(:,21).*STATES(:,4) }, NaN);
ALGEBRAIC(:,14) = ALGEBRAIC(:,4).*ALGEBRAIC(:,9);
RATES(:,4) = 1.00000.*ALGEBRAIC(:,14);
ALGEBRAIC(:,10) = piecewise({STATES(:,5)<CONSTANTS(:,6)& CONSTANTS(:,23).*STATES(:,2)+ CONSTANTS(:,24).*STATES(:,5)<0.00000, 1.00000 - exp(( CONSTANTS(:,22).*power(STATES(:,5), 2.00000))./( ( CONSTANTS(:,23).*STATES(:,2)+ CONSTANTS(:,24).*STATES(:,5)).*power(CONSTANTS(:,6) - STATES(:,5), 2.00000))) }, 1.00000);
ALGEBRAIC(:,5) = piecewise({ CONSTANTS(:,23).*STATES(:,2)+ CONSTANTS(:,24).*STATES(:,5)>0.00000, ( CONSTANTS(:,23).*STATES(:,2)+ CONSTANTS(:,24).*STATES(:,5))./(1.00000+ (( CONSTANTS(:,23).*STATES(:,2)+ CONSTANTS(:,24).*STATES(:,5))./CONSTANTS(:,22)).*(1.00000 - exp( - (( CONSTANTS(:,23).*STATES(:,2)+ CONSTANTS(:,24).*STATES(:,5))./CONSTANTS(:,22))))) , CONSTANTS(:,23).*STATES(:,2)+ CONSTANTS(:,24).*STATES(:,5)<=0.00000, CONSTANTS(:,23).*STATES(:,2)+ CONSTANTS(:,24).*STATES(:,5) }, NaN);
ALGEBRAIC(:,15) = ALGEBRAIC(:,5).*ALGEBRAIC(:,10);
RATES(:,5) = 1.00000.*ALGEBRAIC(:,15);
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(:,6) = piecewise({STATES(:,1)<CONSTANTS(:,6)& CONSTANTS(:,2).*STATES(:,1)+ CONSTANTS(:,3).*STATES(:,2)<0.00000, 1.00000 - exp(( CONSTANTS(:,1).*power(STATES(:,1), 2.00000))./( ( CONSTANTS(:,2).*STATES(:,1)+ CONSTANTS(:,3).*STATES(:,2)).*power(CONSTANTS(:,6) - STATES(:,1), 2.00000))) }, 1.00000);
ALGEBRAIC(:,1) = piecewise({ CONSTANTS(:,2).*STATES(:,1)+ CONSTANTS(:,3).*STATES(:,2)>0.00000, ( CONSTANTS(:,2).*STATES(:,1)+ CONSTANTS(:,3).*STATES(:,2))./(1.00000+ (( CONSTANTS(:,2).*STATES(:,1)+ CONSTANTS(:,3).*STATES(:,2))./CONSTANTS(:,1)).*(1.00000 - exp( - (( CONSTANTS(:,2).*STATES(:,1)+ CONSTANTS(:,3).*STATES(:,2))./CONSTANTS(:,1))))) , CONSTANTS(:,2).*STATES(:,1)+ CONSTANTS(:,3).*STATES(:,2)<=0.00000, CONSTANTS(:,2).*STATES(:,1)+ CONSTANTS(:,3).*STATES(:,2) }, NaN);
ALGEBRAIC(:,11) = ALGEBRAIC(:,1).*ALGEBRAIC(:,6);
ALGEBRAIC(:,7) = piecewise({STATES(:,3)<CONSTANTS(:,6)& CONSTANTS(:,8).*STATES(:,1)+ CONSTANTS(:,10).*STATES(:,3)+ CONSTANTS(:,9).*STATES(:,2)<0.00000, 1.00000 - exp(( CONSTANTS(:,7).*power(STATES(:,3), 2.00000))./( ( CONSTANTS(:,8).*STATES(:,1)+ CONSTANTS(:,10).*STATES(:,3)+ CONSTANTS(:,9).*STATES(:,2)).*power(CONSTANTS(:,6) - STATES(:,3), 2.00000))) }, 1.00000);
ALGEBRAIC(:,2) = piecewise({ CONSTANTS(:,8).*STATES(:,1)+ CONSTANTS(:,10).*STATES(:,3)+ CONSTANTS(:,9).*STATES(:,2)>0.00000, ( CONSTANTS(:,8).*STATES(:,1)+ CONSTANTS(:,10).*STATES(:,3)+ CONSTANTS(:,9).*STATES(:,2))./(1.00000+ (( CONSTANTS(:,8).*STATES(:,1)+ CONSTANTS(:,10).*STATES(:,3)+ CONSTANTS(:,9).*STATES(:,2))./CONSTANTS(:,7)).*(1.00000 - exp( - (( CONSTANTS(:,8).*STATES(:,1)+ CONSTANTS(:,10).*STATES(:,3)+ CONSTANTS(:,9).*STATES(:,2))./CONSTANTS(:,7))))) , CONSTANTS(:,8).*STATES(:,1)+ CONSTANTS(:,10).*STATES(:,3)+ CONSTANTS(:,9).*STATES(:,2)<=0.00000, CONSTANTS(:,8).*STATES(:,1)+ CONSTANTS(:,10).*STATES(:,3)+ CONSTANTS(:,9).*STATES(:,2) }, NaN);
ALGEBRAIC(:,12) = ALGEBRAIC(:,2).*ALGEBRAIC(:,7);
ALGEBRAIC(:,8) = piecewise({STATES(:,2)<CONSTANTS(:,6)& CONSTANTS(:,15).*STATES(:,1)+ CONSTANTS(:,16).*STATES(:,3)+ CONSTANTS(:,17).*STATES(:,2)+ CONSTANTS(:,13).*STATES(:,4)+ CONSTANTS(:,14).*STATES(:,5)<0.00000, 1.00000 - exp(( CONSTANTS(:,12).*power(STATES(:,2), 2.00000))./( ( CONSTANTS(:,15).*STATES(:,1)+ CONSTANTS(:,16).*STATES(:,3)+ CONSTANTS(:,17).*STATES(:,2)+ CONSTANTS(:,13).*STATES(:,4)+ CONSTANTS(:,14).*STATES(:,5)).*power(CONSTANTS(:,6) - STATES(:,2), 2.00000))) }, 1.00000);
ALGEBRAIC(:,3) = piecewise({ CONSTANTS(:,15).*STATES(:,1)+ CONSTANTS(:,16).*STATES(:,3)+ CONSTANTS(:,17).*STATES(:,2)+ CONSTANTS(:,13).*STATES(:,4)+ CONSTANTS(:,14).*STATES(:,5)>0.00000, ( CONSTANTS(:,15).*STATES(:,1)+ CONSTANTS(:,16).*STATES(:,3)+ CONSTANTS(:,17).*STATES(:,2)+ CONSTANTS(:,13).*STATES(:,4)+ CONSTANTS(:,14).*STATES(:,5))./(1.00000+ (( CONSTANTS(:,15).*STATES(:,1)+ CONSTANTS(:,16).*STATES(:,3)+ CONSTANTS(:,17).*STATES(:,2)+ CONSTANTS(:,13).*STATES(:,4)+ CONSTANTS(:,14).*STATES(:,5))./CONSTANTS(:,12)).*(1.00000 - exp( - (( CONSTANTS(:,15).*STATES(:,1)+ CONSTANTS(:,16).*STATES(:,3)+ CONSTANTS(:,17).*STATES(:,2)+ CONSTANTS(:,13).*STATES(:,4)+ CONSTANTS(:,14).*STATES(:,5))./CONSTANTS(:,12))))) , CONSTANTS(:,15).*STATES(:,1)+ CONSTANTS(:,16).*STATES(:,3)+ CONSTANTS(:,17).*STATES(:,2)+ CONSTANTS(:,13).*STATES(:,4)+ CONSTANTS(:,14).*STATES(:,5)<=0.00000, CONSTANTS(:,15).*STATES(:,1)+ CONSTANTS(:,16).*STATES(:,3)+ CONSTANTS(:,17).*STATES(:,2)+ CONSTANTS(:,13).*STATES(:,4)+ CONSTANTS(:,14).*STATES(:,5) }, NaN);
ALGEBRAIC(:,13) = ALGEBRAIC(:,3).*ALGEBRAIC(:,8);
ALGEBRAIC(:,9) = piecewise({STATES(:,4)<CONSTANTS(:,6)& CONSTANTS(:,20).*STATES(:,2)+ CONSTANTS(:,21).*STATES(:,4)<0.00000, 1.00000 - exp(( CONSTANTS(:,19).*power(STATES(:,4), 2.00000))./( ( CONSTANTS(:,20).*STATES(:,2)+ CONSTANTS(:,21).*STATES(:,4)).*power(CONSTANTS(:,6) - STATES(:,4), 2.00000))) }, 1.00000);
ALGEBRAIC(:,4) = piecewise({ CONSTANTS(:,20).*STATES(:,2)+ CONSTANTS(:,21).*STATES(:,4)>0.00000, ( CONSTANTS(:,20).*STATES(:,2)+ CONSTANTS(:,21).*STATES(:,4))./(1.00000+ (( CONSTANTS(:,20).*STATES(:,2)+ CONSTANTS(:,21).*STATES(:,4))./CONSTANTS(:,19)).*(1.00000 - exp( - (( CONSTANTS(:,20).*STATES(:,2)+ CONSTANTS(:,21).*STATES(:,4))./CONSTANTS(:,19))))) , CONSTANTS(:,20).*STATES(:,2)+ CONSTANTS(:,21).*STATES(:,4)<=0.00000, CONSTANTS(:,20).*STATES(:,2)+ CONSTANTS(:,21).*STATES(:,4) }, NaN);
ALGEBRAIC(:,14) = ALGEBRAIC(:,4).*ALGEBRAIC(:,9);
ALGEBRAIC(:,10) = piecewise({STATES(:,5)<CONSTANTS(:,6)& CONSTANTS(:,23).*STATES(:,2)+ CONSTANTS(:,24).*STATES(:,5)<0.00000, 1.00000 - exp(( CONSTANTS(:,22).*power(STATES(:,5), 2.00000))./( ( CONSTANTS(:,23).*STATES(:,2)+ CONSTANTS(:,24).*STATES(:,5)).*power(CONSTANTS(:,6) - STATES(:,5), 2.00000))) }, 1.00000);
ALGEBRAIC(:,5) = piecewise({ CONSTANTS(:,23).*STATES(:,2)+ CONSTANTS(:,24).*STATES(:,5)>0.00000, ( CONSTANTS(:,23).*STATES(:,2)+ CONSTANTS(:,24).*STATES(:,5))./(1.00000+ (( CONSTANTS(:,23).*STATES(:,2)+ CONSTANTS(:,24).*STATES(:,5))./CONSTANTS(:,22)).*(1.00000 - exp( - (( CONSTANTS(:,23).*STATES(:,2)+ CONSTANTS(:,24).*STATES(:,5))./CONSTANTS(:,22))))) , CONSTANTS(:,23).*STATES(:,2)+ CONSTANTS(:,24).*STATES(:,5)<=0.00000, CONSTANTS(:,23).*STATES(:,2)+ CONSTANTS(:,24).*STATES(:,5) }, NaN);
ALGEBRAIC(:,15) = ALGEBRAIC(:,5).*ALGEBRAIC(:,10);
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