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 1 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 (minute)');
LEGEND_CONSTANTS(:,1) = strpad('PLA in component atrial_natriuretic_peptide (mmHg)');
LEGEND_CONSTANTS(:,2) = strpad('PRA in component atrial_natriuretic_peptide (mmHg)');
LEGEND_CONSTANTS(:,9) = strpad('ANP in component total_ANP_secreted (dimensionless)');
LEGEND_CONSTANTS(:,7) = strpad('ANPL in component total_ANP_secreted (dimensionless)');
LEGEND_CONSTANTS(:,8) = strpad('ANPR2 in component total_ANP_secreted (dimensionless)');
LEGEND_CONSTANTS(:,10) = strpad('ANP1 in component ANP_into_circulation (dimensionless)');
LEGEND_CONSTANTS(:,3) = strpad('ANPKNS in component parameter_values (dimensionless)');
LEGEND_CONSTANTS(:,4) = strpad('ANPINF in component parameter_values (dimensionless)');
LEGEND_STATES(:,1) = strpad('ANPC in component ANP_in_plasma (dimensionless)');
LEGEND_CONSTANTS(:,5) = strpad('ANPTC in component parameter_values (minute)');
LEGEND_ALGEBRAIC(:,2) = strpad('ANPX in component ANP_effect_on_renal_afferent_arteriolar_resistance (dimensionless)');
LEGEND_CONSTANTS(:,6) = strpad('ANPXUL in component parameter_values (dimensionless)');
LEGEND_ALGEBRAIC(:,1) = strpad('ANPX1 in component ANP_effect_on_renal_afferent_arteriolar_resistance (dimensionless)');
LEGEND_RATES(:,1) = strpad('d/dt ANPC in component ANP_in_plasma (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) = 2;
CONSTANTS(:,2) = 0.00852183;
CONSTANTS(:,3) = 0;
CONSTANTS(:,4) = 0;
STATES(:,1) = 1.0;
CONSTANTS(:,5) = 4;
CONSTANTS(:,6) = 10;
CONSTANTS(:,7) = piecewise({ (CONSTANTS(:,1) - 1.00000).*1.00000<0.00000, 0.00000 }, (CONSTANTS(:,1) - 1.00000).*1.00000);
CONSTANTS(:,8) = piecewise({ (CONSTANTS(:,2)+1.00000).*2.00000<0.00000, 0.00000 }, (CONSTANTS(:,2)+1.00000).*2.00000);
CONSTANTS(:,9) = (CONSTANTS(:,7)+CONSTANTS(:,8))./3.00000;
CONSTANTS(:,10) = piecewise({CONSTANTS(:,3)>0.00000, CONSTANTS(:,3) }, CONSTANTS(:,9)+CONSTANTS(:,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
RATES(:,1) = (CONSTANTS(:,10) - STATES(:,1))./CONSTANTS(:,5);
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) = CONSTANTS(:,6) - CONSTANTS(:,6)./( 0.555556.*(1.00000+STATES(:,1)));
ALGEBRAIC(:,2) = piecewise({ALGEBRAIC(:,1)< - 1.00000, - 1.00000 }, ALGEBRAIC(:,1));
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
