# 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 =1;
end
% There are a total of 4 entries in each of the rate and state variable arrays.
% There are a total of 4 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 (second)');
LEGEND_STATES(:,1) = strpad('x1 in component insulin (nanomolar)');
LEGEND_ALGEBRAIC(:,1) = strpad('scatchard in component insulin (dimensionless)');
LEGEND_CONSTANTS(:,1) = strpad('k1 in component rate_constants (second_order_rate_constant)');
LEGEND_CONSTANTS(:,2) = strpad('k1_ in component rate_constants (first_order_rate_constant)');
LEGEND_CONSTANTS(:,3) = strpad('k2_ in component rate_constants (first_order_rate_constant)');
LEGEND_STATES(:,2) = strpad('x2 in component unbound_receptor (nanomolar)');
LEGEND_STATES(:,3) = strpad('x3 in component single_bound_receptor (nanomolar)');
LEGEND_STATES(:,4) = strpad('x4 in component double_bound_receptor (nanomolar)');
LEGEND_CONSTANTS(:,4) = strpad('k2 in component rate_constants (second_order_rate_constant)');
LEGEND_RATES(:,1) = strpad('d/dt x1 in component insulin (nanomolar)');
LEGEND_RATES(:,2) = strpad('d/dt x2 in component unbound_receptor (nanomolar)');
LEGEND_RATES(:,3) = strpad('d/dt x3 in component single_bound_receptor (nanomolar)');
LEGEND_RATES(:,4) = strpad('d/dt x4 in component double_bound_receptor (nanomolar)');
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) = 1000;
CONSTANTS(:,1) = 1000000;
CONSTANTS(:,2) = 0.0004;
CONSTANTS(:,3) = 0.04;
STATES(:,2) = 0.1;
STATES(:,3) = 0.0;
STATES(:,4) = 0.0;
CONSTANTS(:,4) = 1000000;
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);
else
statesRowCount = statesSize(1);
ALGEBRAIC = zeros(statesRowCount, algebraicVariableCount);
RATES = zeros(statesRowCount, statesColumnCount);
end
RATES(:,1) = (( CONSTANTS(:,2).*STATES(:,3) -  CONSTANTS(:,1).*STATES(:,1).*STATES(:,2))+ CONSTANTS(:,3).*STATES(:,4)) -  CONSTANTS(:,4).*STATES(:,1).*STATES(:,3);
RATES(:,2) =  CONSTANTS(:,2).*STATES(:,3) -  CONSTANTS(:,1).*STATES(:,1).*STATES(:,2);
RATES(:,3) = (( CONSTANTS(:,1).*STATES(:,1).*STATES(:,2) -  CONSTANTS(:,2).*STATES(:,3))+ CONSTANTS(:,3).*STATES(:,4)) -  CONSTANTS(:,4).*STATES(:,1).*STATES(:,3);
RATES(:,4) =  CONSTANTS(:,4).*STATES(:,1).*STATES(:,3) -  CONSTANTS(:,3).*STATES(:,4);
RATES = RATES';
end

% Calculate algebraic variables
function ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI)
ALGEBRAIC(:,1) = (STATES(:,3)+STATES(:,4))./STATES(:,1);
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 Wanant, Quon, 2000 at changeset feffc30ccbfd.
Collaboration
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