# 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 =3;
end
% There are a total of 2 entries in each of the rate and state variable arrays.
% There are a total of 10 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 (ms)');
LEGEND_ALGEBRAIC(:,1) = strpad('J_stim in component J_stim (per_ms)');
LEGEND_CONSTANTS(:,1) = strpad('IstimStart in component J_stim (ms)');
LEGEND_CONSTANTS(:,2) = strpad('IstimEnd in component J_stim (ms)');
LEGEND_CONSTANTS(:,3) = strpad('IstimAmplitude in component J_stim (per_ms)');
LEGEND_CONSTANTS(:,4) = strpad('IstimPeriod in component J_stim (ms)');
LEGEND_CONSTANTS(:,5) = strpad('IstimPulseDuration in component J_stim (ms)');
LEGEND_STATES(:,1) = strpad('Vm in component membrane (dimensionless)');
LEGEND_ALGEBRAIC(:,2) = strpad('J_in in component J_in (per_ms)');
LEGEND_ALGEBRAIC(:,3) = strpad('J_out in component J_out (per_ms)');
LEGEND_CONSTANTS(:,6) = strpad('tau_in in component J_in (ms)');
LEGEND_STATES(:,2) = strpad('h in component J_in_h_gate (dimensionless)');
LEGEND_CONSTANTS(:,7) = strpad('tau_open in component J_in_h_gate (ms)');
LEGEND_CONSTANTS(:,8) = strpad('tau_close in component J_in_h_gate (ms)');
LEGEND_CONSTANTS(:,9) = strpad('V_gate in component J_in_h_gate (dimensionless)');
LEGEND_CONSTANTS(:,10) = strpad('tau_out in component J_out (ms)');
LEGEND_RATES(:,1) = strpad('d/dt Vm in component membrane (dimensionless)');
LEGEND_RATES(:,2) = strpad('d/dt h in component J_in_h_gate (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 = [];
CONSTANTS(:,1) = 0;
CONSTANTS(:,2) = 50000;
CONSTANTS(:,3) = 0.2;
CONSTANTS(:,4) = 500;
CONSTANTS(:,5) = 1;
STATES(:,1) = 0.00000820413566106744;
CONSTANTS(:,6) = 0.3;
STATES(:,2) = 0.8789655121804799;
CONSTANTS(:,7) = 120.0;
CONSTANTS(:,8) = 150.0;
CONSTANTS(:,9) = 0.13;
CONSTANTS(:,10) = 6.0;
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(:,2) = piecewise({STATES(:,1)<CONSTANTS(:,9), (1.00000 - STATES(:,2))./CONSTANTS(:,7) },  - STATES(:,2)./CONSTANTS(:,8));
ALGEBRAIC(:,1) = piecewise({VOI>=CONSTANTS(:,1)&VOI<=CONSTANTS(:,2)&(VOI - CONSTANTS(:,1)) -  floor((VOI - CONSTANTS(:,1))./CONSTANTS(:,4)).*CONSTANTS(:,4)<=CONSTANTS(:,5), CONSTANTS(:,3) }, 0.00000);
ALGEBRAIC(:,2) = ( STATES(:,2).*( power(STATES(:,1), 2.00000).*(1.00000 - STATES(:,1))))./CONSTANTS(:,6);
ALGEBRAIC(:,3) =  - (STATES(:,1)./CONSTANTS(:,10));
RATES(:,1) = ALGEBRAIC(:,2)+ALGEBRAIC(:,3)+ALGEBRAIC(:,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) = piecewise({VOI>=CONSTANTS(:,1)&VOI<=CONSTANTS(:,2)&(VOI - CONSTANTS(:,1)) -  floor((VOI - CONSTANTS(:,1))./CONSTANTS(:,4)).*CONSTANTS(:,4)<=CONSTANTS(:,5), CONSTANTS(:,3) }, 0.00000);
ALGEBRAIC(:,2) = ( STATES(:,2).*( power(STATES(:,1), 2.00000).*(1.00000 - STATES(:,1))))./CONSTANTS(:,6);
ALGEBRAIC(:,3) =  - (STATES(:,1)./CONSTANTS(:,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
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 Mitchell, Schaeffer, 2003 at changeset 25103ab3451d.
Collaboration
To begin collaborating on this work, please use your git client and issue this command: