# 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 =7;
end
% There are a total of 2 entries in each of the rate and state variable arrays.
% There are a total of 2 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_ALGEBRAIC(:,1) = strpad('V in component environment (millivolt)');
LEGEND_VOI = strpad('t in component environment (millisec)');
LEGEND_STATES(:,1) = strpad('m in component sodium_channel_m_gate (dimensionless)');
LEGEND_STATES(:,2) = strpad('h in component sodium_channel_h_gate (dimensionless)');
LEGEND_CONSTANTS(:,1) = strpad('g_Na in component sodium_channel (milliS_per_cm2)');
LEGEND_CONSTANTS(:,2) = strpad('E_Na in component sodium_channel (millivolt)');
LEGEND_ALGEBRAIC(:,2) = strpad('Na_conductance in component sodium_channel (milliS_per_cm2)');
LEGEND_ALGEBRAIC(:,5) = strpad('i_Na in component sodium_channel (microA_per_cm2)');
LEGEND_ALGEBRAIC(:,3) = strpad('alpha_m in component sodium_channel_m_gate (per_millisec)');
LEGEND_ALGEBRAIC(:,6) = strpad('beta_m in component sodium_channel_m_gate (per_millisec)');
LEGEND_ALGEBRAIC(:,4) = strpad('alpha_h in component sodium_channel_h_gate (per_millisec)');
LEGEND_ALGEBRAIC(:,7) = strpad('beta_h in component sodium_channel_h_gate (per_millisec)');
LEGEND_RATES(:,1) = strpad('d/dt m in component sodium_channel_m_gate (dimensionless)');
LEGEND_RATES(:,2) = strpad('d/dt h in component sodium_channel_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 = [];
STATES(:,1) = 0.05;
STATES(:,2) = 0.6;
CONSTANTS(:,1) = 120;
CONSTANTS(:,2) = 35;
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) = piecewise({VOI>5.00000&VOI<15.0000, 0.00000 },  - 85.0000);
ALGEBRAIC(:,3) = (  - 0.100000.*(ALGEBRAIC(:,1)+50.0000))./(exp( - (ALGEBRAIC(:,1)+50.0000)./10.0000) - 1.00000);
ALGEBRAIC(:,6) =  4.00000.*exp( - (ALGEBRAIC(:,1)+75.0000)./18.0000);
RATES(:,1) =  ALGEBRAIC(:,3).*(1.00000 - STATES(:,1)) -  ALGEBRAIC(:,6).*STATES(:,1);
ALGEBRAIC(:,4) =  0.0700000.*exp( - (ALGEBRAIC(:,1)+75.0000)./20.0000);
ALGEBRAIC(:,7) = 1.00000./(exp( - (ALGEBRAIC(:,1)+45.0000)./10.0000)+1.00000);
RATES(:,2) =  ALGEBRAIC(:,4).*(1.00000 - STATES(:,2)) -  ALGEBRAIC(:,7).*STATES(:,2);
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>5.00000&VOI<15.0000, 0.00000 },  - 85.0000);
ALGEBRAIC(:,3) = (  - 0.100000.*(ALGEBRAIC(:,1)+50.0000))./(exp( - (ALGEBRAIC(:,1)+50.0000)./10.0000) - 1.00000);
ALGEBRAIC(:,6) =  4.00000.*exp( - (ALGEBRAIC(:,1)+75.0000)./18.0000);
ALGEBRAIC(:,4) =  0.0700000.*exp( - (ALGEBRAIC(:,1)+75.0000)./20.0000);
ALGEBRAIC(:,7) = 1.00000./(exp( - (ALGEBRAIC(:,1)+45.0000)./10.0000)+1.00000);
ALGEBRAIC(:,2) =  CONSTANTS(:,1).*power(STATES(:,1), 3.00000).*STATES(:,2);
ALGEBRAIC(:,5) =  ALGEBRAIC(:,2).*(ALGEBRAIC(:,1) - CONSTANTS(:,2));
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

```
Source
Derived from workspace Models for the OpenCOR and PMR tutorial by Peter Hunter at changeset 1368c1579b75.
This exposure was expired. A more up-to-date exposure is available, or view related resources.
Collaboration
To begin collaborating on this work, please use your git client and issue this command:
Downloads
Tools
License
The terms of use/license for this work is unspecified.