# 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 =2;
end
% There are a total of 3 entries in each of the rate and state variable arrays.
% There are a total of 7 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 (hour)');
LEGEND_STATES(:,1) = strpad('R in component R (ng_ml)');
LEGEND_CONSTANTS(:,1) = strpad('h in component R (first_order_rate_constant)');
LEGEND_CONSTANTS(:,2) = strpad('c in component R (ng_ml_hr)');
LEGEND_CONSTANTS(:,3) = strpad('b1 in component R (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,2) = strpad('H in component R (dimensionless)');
LEGEND_ALGEBRAIC(:,1) = strpad('x in component R (ng_ml)');
LEGEND_STATES(:,2) = strpad('T in component T (ng_ml)');
LEGEND_STATES(:,3) = strpad('L in component L (ng_ml)');
LEGEND_CONSTANTS(:,4) = strpad('g1 in component L (first_order_rate_constant)');
LEGEND_CONSTANTS(:,5) = strpad('b2 in component L (first_order_rate_constant)');
LEGEND_CONSTANTS(:,6) = strpad('g2 in component T (first_order_rate_constant)');
LEGEND_CONSTANTS(:,7) = strpad('b3 in component T (first_order_rate_constant)');
LEGEND_RATES(:,1) = strpad('d/dt R in component R (ng_ml)');
LEGEND_RATES(:,3) = strpad('d/dt L in component L (ng_ml)');
LEGEND_RATES(:,2) = strpad('d/dt T in component T (ng_ml)');
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) = 0.5;
CONSTANTS(:,1) = 12;
CONSTANTS(:,2) = 100;
CONSTANTS(:,3) = 1.29;
STATES(:,2) = 15;
STATES(:,3) = 22;
CONSTANTS(:,4) = 10;
CONSTANTS(:,5) = 0.97;
CONSTANTS(:,6) = 0.7;
CONSTANTS(:,7) = 1.39;
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(:,3) =  CONSTANTS(:,4).*STATES(:,1) -  CONSTANTS(:,5).*STATES(:,3);
RATES(:,2) =  CONSTANTS(:,6).*STATES(:,3) -  CONSTANTS(:,7).*STATES(:,2);
ALGEBRAIC(:,1) = STATES(:,2) - CONSTANTS(:,2)./CONSTANTS(:,1);
ALGEBRAIC(:,2) = piecewise({ALGEBRAIC(:,1)>0.00000, 1.00000 }, 0.00000);
RATES(:,1) =  (CONSTANTS(:,2) -  CONSTANTS(:,1).*STATES(:,2)).*(1.00000 - ALGEBRAIC(:,2)) -  CONSTANTS(:,3).*STATES(:,1);
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) = STATES(:,2) - CONSTANTS(:,2)./CONSTANTS(:,1);
ALGEBRAIC(:,2) = piecewise({ALGEBRAIC(:,1)>0.00000, 1.00000 }, 0.00000);
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
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

```
Source
Derived from workspace Smith, 1980 at changeset 62da0a1f9920.
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