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 =20;
end
% There are a total of 17 entries in each of the rate and state variable arrays.
% There are a total of 33 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_ALGEBRAIC(:,1) = strpad('v1 in component v1 (flux)');
LEGEND_STATES(:,1) = strpad('pM9 in component pM9 (molar)');
LEGEND_STATES(:,2) = strpad('M3 in component M3 (molar)');
LEGEND_STATES(:,3) = strpad('M3_pM9 in component M3_pM9 (molar)');
LEGEND_CONSTANTS(:,1) = strpad('kon_M3pM9 in component kinetic_parameters (second_order_rate_constant)');
LEGEND_CONSTANTS(:,2) = strpad('koff_M3pM9 in component kinetic_parameters (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,2) = strpad('v2 in component v2 (flux)');
LEGEND_CONSTANTS(:,3) = strpad('kact_M3pM9 in component kinetic_parameters (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,3) = strpad('v3 in component v3 (flux)');
LEGEND_STATES(:,4) = strpad('M3_T1 in component M3_T1 (molar)');
LEGEND_STATES(:,5) = strpad('T1 in component T1 (molar)');
LEGEND_CONSTANTS(:,4) = strpad('kon_M3T1 in component kinetic_parameters (second_order_rate_constant)');
LEGEND_CONSTANTS(:,5) = strpad('koff_M3T1 in component kinetic_parameters (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,4) = strpad('v4 in component v4 (flux)');
LEGEND_STATES(:,6) = strpad('pM9_T1 in component pM9_T1 (molar)');
LEGEND_CONSTANTS(:,6) = strpad('kon_pM9T1 in component kinetic_parameters (second_order_rate_constant)');
LEGEND_CONSTANTS(:,7) = strpad('koff_pM9T1 in component kinetic_parameters (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,5) = strpad('v5 in component v5 (flux)');
LEGEND_STATES(:,7) = strpad('M3_pM9_T1 in component M3_pM9_T1 (molar)');
LEGEND_CONSTANTS(:,8) = strpad('kon_M3pM9T1 in component kinetic_parameters (second_order_rate_constant)');
LEGEND_CONSTANTS(:,9) = strpad('koff_M3pM9T1 in component kinetic_parameters (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,6) = strpad('v6 in component v6 (flux)');
LEGEND_CONSTANTS(:,10) = strpad('kact_M3pM9T1 in component kinetic_parameters (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,7) = strpad('v7 in component v7 (flux)');
LEGEND_STATES(:,8) = strpad('M9_T1_star in component M9_T1_star (molar)');
LEGEND_STATES(:,9) = strpad('M9 in component M9 (molar)');
LEGEND_CONSTANTS(:,11) = strpad('kon_M9T1_star in component kinetic_parameters (second_order_rate_constant)');
LEGEND_CONSTANTS(:,12) = strpad('koff_M9T1_star in component kinetic_parameters (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,8) = strpad('v8 in component v8 (flux)');
LEGEND_STATES(:,10) = strpad('M9_T1 in component M9_T1 (molar)');
LEGEND_CONSTANTS(:,13) = strpad('kon_M9T1 in component kinetic_parameters (first_order_rate_constant)');
LEGEND_CONSTANTS(:,14) = strpad('koff_M9T1 in component kinetic_parameters (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,9) = strpad('v9 in component v9 (flux)');
LEGEND_STATES(:,11) = strpad('M9_T1_M3 in component M9_T1_M3 (molar)');
LEGEND_CONSTANTS(:,15) = strpad('kon_M9_M3T1 in component kinetic_parameters (first_order_rate_constant)');
LEGEND_CONSTANTS(:,16) = strpad('koff_M9_M3T1 in component kinetic_parameters (second_order_rate_constant)');
LEGEND_ALGEBRAIC(:,10) = strpad('v10 in component v10 (flux)');
LEGEND_STATES(:,12) = strpad('pM9_T1_M3 in component pM9_T1_M3 (molar)');
LEGEND_CONSTANTS(:,17) = strpad('kon_M3_pM9T1 in component kinetic_parameters (second_order_rate_constant)');
LEGEND_CONSTANTS(:,18) = strpad('koff_M3_pM9T1 in component kinetic_parameters (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,11) = strpad('v11 in component v11 (flux)');
LEGEND_CONSTANTS(:,19) = strpad('kon_pM9T1M3 in component kinetic_parameters (second_order_rate_constant)');
LEGEND_CONSTANTS(:,20) = strpad('koff_pM9T1M3 in component kinetic_parameters (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,12) = strpad('v12 in component v12 (flux)');
LEGEND_STATES(:,13) = strpad('M3_pM9_T1_M3 in component M3_pM9_T1_M3 (molar)');
LEGEND_CONSTANTS(:,21) = strpad('kon_M3pM9T1M3 in component kinetic_parameters (second_order_rate_constant)');
LEGEND_CONSTANTS(:,22) = strpad('koff_M3pM9T1M3 in component kinetic_parameters (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,13) = strpad('v13 in component v13 (flux)');
LEGEND_CONSTANTS(:,23) = strpad('kact_M3pM9T1M3 in component kinetic_parameters (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,14) = strpad('v14 in component v14 (flux)');
LEGEND_CONSTANTS(:,24) = strpad('kact_M9T1M3 in component kinetic_parameters (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,15) = strpad('v15 in component v15 (flux)');
LEGEND_STATES(:,14) = strpad('Tr in component Tr (molar)');
LEGEND_STATES(:,15) = strpad('Tr_pM9 in component Tr_pM9 (molar)');
LEGEND_CONSTANTS(:,25) = strpad('kon_TrpM9 in component kinetic_parameters (second_order_rate_constant)');
LEGEND_CONSTANTS(:,26) = strpad('koff_TrpM9 in component kinetic_parameters (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,16) = strpad('v16 in component v16 (flux)');
LEGEND_CONSTANTS(:,27) = strpad('kact_TrpM9 in component kinetic_parameters (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,17) = strpad('v17 in component v17 (flux)');
LEGEND_STATES(:,16) = strpad('Tr_pM9_T1 in component Tr_pM9_T1 (molar)');
LEGEND_CONSTANTS(:,28) = strpad('kon_TrpM9T1 in component kinetic_parameters (second_order_rate_constant)');
LEGEND_CONSTANTS(:,29) = strpad('koff_TrpM9T1 in component kinetic_parameters (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,18) = strpad('v18 in component v18 (flux)');
LEGEND_CONSTANTS(:,30) = strpad('kact_TrpM9T1 in component kinetic_parameters (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,19) = strpad('v19 in component v19 (flux)');
LEGEND_STATES(:,17) = strpad('Tr_pM9_T1_M3 in component Tr_pM9_T1_M3 (molar)');
LEGEND_CONSTANTS(:,31) = strpad('kon_TrpM9T1M3 in component kinetic_parameters (second_order_rate_constant)');
LEGEND_CONSTANTS(:,32) = strpad('koff_TrpM9T1M3 in component kinetic_parameters (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,20) = strpad('v20 in component v20 (flux)');
LEGEND_CONSTANTS(:,33) = strpad('kact_TrpM9T1M3 in component kinetic_parameters (first_order_rate_constant)');
LEGEND_RATES(:,1) = strpad('d/dt pM9 in component pM9 (molar)');
LEGEND_RATES(:,2) = strpad('d/dt M3 in component M3 (molar)');
LEGEND_RATES(:,3) = strpad('d/dt M3_pM9 in component M3_pM9 (molar)');
LEGEND_RATES(:,5) = strpad('d/dt T1 in component T1 (molar)');
LEGEND_RATES(:,4) = strpad('d/dt M3_T1 in component M3_T1 (molar)');
LEGEND_RATES(:,6) = strpad('d/dt pM9_T1 in component pM9_T1 (molar)');
LEGEND_RATES(:,7) = strpad('d/dt M3_pM9_T1 in component M3_pM9_T1 (molar)');
LEGEND_RATES(:,8) = strpad('d/dt M9_T1_star in component M9_T1_star (molar)');
LEGEND_RATES(:,9) = strpad('d/dt M9 in component M9 (molar)');
LEGEND_RATES(:,10) = strpad('d/dt M9_T1 in component M9_T1 (molar)');
LEGEND_RATES(:,12) = strpad('d/dt pM9_T1_M3 in component pM9_T1_M3 (molar)');
LEGEND_RATES(:,13) = strpad('d/dt M3_pM9_T1_M3 in component M3_pM9_T1_M3 (molar)');
LEGEND_RATES(:,11) = strpad('d/dt M9_T1_M3 in component M9_T1_M3 (molar)');
LEGEND_RATES(:,14) = strpad('d/dt Tr in component Tr (molar)');
LEGEND_RATES(:,15) = strpad('d/dt Tr_pM9 in component Tr_pM9 (molar)');
LEGEND_RATES(:,16) = strpad('d/dt Tr_pM9_T1 in component Tr_pM9_T1 (molar)');
LEGEND_RATES(:,17) = strpad('d/dt Tr_pM9_T1_M3 in component Tr_pM9_T1_M3 (molar)');
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) = 3e-7;
STATES(:,2) = 5e-8;
STATES(:,3) = 0;
CONSTANTS(:,1) = 1e4;
CONSTANTS(:,2) = 0.001;
CONSTANTS(:,3) = 0.0019;
STATES(:,4) = 0;
STATES(:,5) = 3e-7;
CONSTANTS(:,4) = 1.9e6;
CONSTANTS(:,5) = 1.26e-4;
STATES(:,6) = 0;
CONSTANTS(:,6) = 3.4e4;
CONSTANTS(:,7) = 7.48e-5;
STATES(:,7) = 0;
CONSTANTS(:,8) = 1e4;
CONSTANTS(:,9) = 0.001;
CONSTANTS(:,10) = 0.00057;
STATES(:,8) = 0;
STATES(:,9) = 0;
CONSTANTS(:,11) = 5.6e6;
CONSTANTS(:,12) = 1.6e-5;
STATES(:,10) = 0;
CONSTANTS(:,13) = 6.3e-4;
CONSTANTS(:,14) = 2.5e-4;
STATES(:,11) = 0;
CONSTANTS(:,15) = 7.48e-5;
CONSTANTS(:,16) = 3.4e4;
STATES(:,12) = 0;
CONSTANTS(:,17) = 1.9e6;
CONSTANTS(:,18) = 1.26e-4;
CONSTANTS(:,19) = 3.4e4;
CONSTANTS(:,20) = 7.48e-5;
STATES(:,13) = 0;
CONSTANTS(:,21) = 1e4;
CONSTANTS(:,22) = 0.001;
CONSTANTS(:,23) = 0.00057;
CONSTANTS(:,24) = 1.26e-4;
STATES(:,14) = 1e-7;
STATES(:,15) = 0;
CONSTANTS(:,25) = 1e4;
CONSTANTS(:,26) = 0.007;
CONSTANTS(:,27) = 0.002;
STATES(:,16) = 0;
CONSTANTS(:,28) = 1e4;
CONSTANTS(:,29) = 0.007;
CONSTANTS(:,30) = 0.0006;
STATES(:,17) = 0;
CONSTANTS(:,31) = 1e4;
CONSTANTS(:,32) = 0.007;
CONSTANTS(:,33) = 0.0006;
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) = CONSTANTS(:,1).*STATES(:,2).*STATES(:,1) - CONSTANTS(:,2).*STATES(:,3);
ALGEBRAIC(:,2) = CONSTANTS(:,3).*STATES(:,3);
RATES(:,3) = ALGEBRAIC(:,1) - ALGEBRAIC(:,2);
ALGEBRAIC(:,5) = CONSTANTS(:,8).*STATES(:,6).*STATES(:,2) - CONSTANTS(:,9).*STATES(:,7);
ALGEBRAIC(:,6) = CONSTANTS(:,10).*STATES(:,7);
RATES(:,7) = ALGEBRAIC(:,5) - ALGEBRAIC(:,6);
ALGEBRAIC(:,3) = CONSTANTS(:,4).*STATES(:,2).*STATES(:,5) - CONSTANTS(:,5).*STATES(:,4);
ALGEBRAIC(:,4) = CONSTANTS(:,6).*STATES(:,1).*STATES(:,5) - CONSTANTS(:,7).*STATES(:,6);
ALGEBRAIC(:,7) = CONSTANTS(:,11).*STATES(:,5).*STATES(:,9) - CONSTANTS(:,12).*STATES(:,8);
RATES(:,5) = - (ALGEBRAIC(:,3)+ALGEBRAIC(:,4)+ALGEBRAIC(:,7));
ALGEBRAIC(:,9) = CONSTANTS(:,15).*STATES(:,11) - CONSTANTS(:,16).*STATES(:,9).*STATES(:,4);
ALGEBRAIC(:,11) = CONSTANTS(:,19).*STATES(:,1).*STATES(:,4) - CONSTANTS(:,20).*STATES(:,12);
RATES(:,4) = (ALGEBRAIC(:,3)+ALGEBRAIC(:,9)) - ALGEBRAIC(:,11);
ALGEBRAIC(:,12) = CONSTANTS(:,21).*STATES(:,2).*STATES(:,12) - CONSTANTS(:,22).*STATES(:,13);
ALGEBRAIC(:,13) = CONSTANTS(:,23).*STATES(:,13);
RATES(:,13) = ALGEBRAIC(:,12) - ALGEBRAIC(:,13);
ALGEBRAIC(:,10) = CONSTANTS(:,17).*STATES(:,6).*STATES(:,2) - CONSTANTS(:,18).*STATES(:,12);
ALGEBRAIC(:,14) = CONSTANTS(:,24).*STATES(:,11);
RATES(:,2) = (ALGEBRAIC(:,2)+ALGEBRAIC(:,6)+ALGEBRAIC(:,13)+ALGEBRAIC(:,14)) - (ALGEBRAIC(:,1)+ALGEBRAIC(:,3)+ALGEBRAIC(:,5)+ALGEBRAIC(:,10)+ALGEBRAIC(:,12));
ALGEBRAIC(:,8) = CONSTANTS(:,13).*STATES(:,8) - CONSTANTS(:,14).*STATES(:,10);
RATES(:,8) = (ALGEBRAIC(:,7)+ALGEBRAIC(:,14)) - ALGEBRAIC(:,8);
ALGEBRAIC(:,15) = CONSTANTS(:,25).*STATES(:,14).*STATES(:,1) - CONSTANTS(:,26).*STATES(:,15);
RATES(:,1) = - (ALGEBRAIC(:,1)+ALGEBRAIC(:,4)+ALGEBRAIC(:,15)+ALGEBRAIC(:,11));
ALGEBRAIC(:,16) = CONSTANTS(:,27).*STATES(:,15);
RATES(:,9) = (ALGEBRAIC(:,2)+ALGEBRAIC(:,9)+ALGEBRAIC(:,16)) - ALGEBRAIC(:,7);
RATES(:,15) = ALGEBRAIC(:,15) - ALGEBRAIC(:,16);
ALGEBRAIC(:,17) = CONSTANTS(:,28).*STATES(:,6).*STATES(:,14) - CONSTANTS(:,29).*STATES(:,16);
RATES(:,6) = ALGEBRAIC(:,4) - (ALGEBRAIC(:,5)+ALGEBRAIC(:,10)+ALGEBRAIC(:,17));
ALGEBRAIC(:,18) = CONSTANTS(:,30).*STATES(:,16);
RATES(:,10) = ALGEBRAIC(:,8)+ALGEBRAIC(:,18);
RATES(:,16) = ALGEBRAIC(:,17) - ALGEBRAIC(:,18);
ALGEBRAIC(:,19) = CONSTANTS(:,31).*STATES(:,14).*STATES(:,12) - CONSTANTS(:,32).*STATES(:,17);
RATES(:,12) = (ALGEBRAIC(:,10)+ALGEBRAIC(:,11)) - (ALGEBRAIC(:,12)+ALGEBRAIC(:,19));
ALGEBRAIC(:,20) = CONSTANTS(:,33).*STATES(:,17);
RATES(:,11) = (ALGEBRAIC(:,13)+ALGEBRAIC(:,20)) - (ALGEBRAIC(:,14)+ALGEBRAIC(:,9));
RATES(:,14) = (ALGEBRAIC(:,16)+ALGEBRAIC(:,18)+ALGEBRAIC(:,20)) - (ALGEBRAIC(:,15)+ALGEBRAIC(:,17)+ALGEBRAIC(:,19));
RATES(:,17) = ALGEBRAIC(:,19) - ALGEBRAIC(:,20);
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(:,1).*STATES(:,2).*STATES(:,1) - CONSTANTS(:,2).*STATES(:,3);
ALGEBRAIC(:,2) = CONSTANTS(:,3).*STATES(:,3);
ALGEBRAIC(:,5) = CONSTANTS(:,8).*STATES(:,6).*STATES(:,2) - CONSTANTS(:,9).*STATES(:,7);
ALGEBRAIC(:,6) = CONSTANTS(:,10).*STATES(:,7);
ALGEBRAIC(:,3) = CONSTANTS(:,4).*STATES(:,2).*STATES(:,5) - CONSTANTS(:,5).*STATES(:,4);
ALGEBRAIC(:,4) = CONSTANTS(:,6).*STATES(:,1).*STATES(:,5) - CONSTANTS(:,7).*STATES(:,6);
ALGEBRAIC(:,7) = CONSTANTS(:,11).*STATES(:,5).*STATES(:,9) - CONSTANTS(:,12).*STATES(:,8);
ALGEBRAIC(:,9) = CONSTANTS(:,15).*STATES(:,11) - CONSTANTS(:,16).*STATES(:,9).*STATES(:,4);
ALGEBRAIC(:,11) = CONSTANTS(:,19).*STATES(:,1).*STATES(:,4) - CONSTANTS(:,20).*STATES(:,12);
ALGEBRAIC(:,12) = CONSTANTS(:,21).*STATES(:,2).*STATES(:,12) - CONSTANTS(:,22).*STATES(:,13);
ALGEBRAIC(:,13) = CONSTANTS(:,23).*STATES(:,13);
ALGEBRAIC(:,10) = CONSTANTS(:,17).*STATES(:,6).*STATES(:,2) - CONSTANTS(:,18).*STATES(:,12);
ALGEBRAIC(:,14) = CONSTANTS(:,24).*STATES(:,11);
ALGEBRAIC(:,8) = CONSTANTS(:,13).*STATES(:,8) - CONSTANTS(:,14).*STATES(:,10);
ALGEBRAIC(:,15) = CONSTANTS(:,25).*STATES(:,14).*STATES(:,1) - CONSTANTS(:,26).*STATES(:,15);
ALGEBRAIC(:,16) = CONSTANTS(:,27).*STATES(:,15);
ALGEBRAIC(:,17) = CONSTANTS(:,28).*STATES(:,6).*STATES(:,14) - CONSTANTS(:,29).*STATES(:,16);
ALGEBRAIC(:,18) = CONSTANTS(:,30).*STATES(:,16);
ALGEBRAIC(:,19) = CONSTANTS(:,31).*STATES(:,14).*STATES(:,12) - CONSTANTS(:,32).*STATES(:,17);
ALGEBRAIC(:,20) = CONSTANTS(:,33).*STATES(:,17);
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