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 =31;
end
% There are a total of 14 entries in each of the rate and state variable arrays.
% There are a total of 31 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_CONSTANTS(:,1) = strpad('vol_myo in component environment (pL)');
LEGEND_STATES(:,1) = strpad('q_DAG in component environment (fmol)');
LEGEND_STATES(:,2) = strpad('q_PC in component environment (fmol)');
LEGEND_STATES(:,3) = strpad('q_IP3 in component environment (fmol)');
LEGEND_STATES(:,4) = strpad('q_Ino in component environment (fmol)');
LEGEND_STATES(:,5) = strpad('q_PLC in component environment (fmol)');
LEGEND_STATES(:,6) = strpad('q_Gq in component environment (fmol)');
LEGEND_STATES(:,7) = strpad('q_Ca in component environment (fmol)');
LEGEND_STATES(:,8) = strpad('q_Gq_PLC in component environment (fmol)');
LEGEND_STATES(:,9) = strpad('q_Ca_PLC in component environment (fmol)');
LEGEND_STATES(:,10) = strpad('q_Ca_Gq_PLC in component environment (fmol)');
LEGEND_STATES(:,11) = strpad('q_G_GDP in component environment (fmol)');
LEGEND_STATES(:,12) = strpad('q_PIP2 in component environment (fmol)');
LEGEND_STATES(:,13) = strpad('q_CaPLC_PIP2 in component environment (fmol)');
LEGEND_STATES(:,14) = strpad('q_CaGqPLC_PIP2 in component environment (fmol)');
LEGEND_ALGEBRAIC(:,21) = strpad('v_R0_PLC in component PLC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,22) = strpad('v_R1_PLC in component PLC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,23) = strpad('v_R2a_PLC in component PLC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,24) = strpad('v_R2b_PLC in component PLC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,25) = strpad('v_R3a_PLC in component PLC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,26) = strpad('v_R3b_PLC in component PLC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,27) = strpad('v_R4_PLC in component PLC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,28) = strpad('v_R5_PLC in component PLC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,29) = strpad('v_R6_PLC in component PLC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,30) = strpad('v_R7_PLC in component PLC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,31) = strpad('v_R8_PLC in component PLC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,6) = strpad('Gq_stim in component environment (fmol_per_sec)');
LEGEND_CONSTANTS(:,2) = strpad('stimPeriod in component environment (second)');
LEGEND_CONSTANTS(:,3) = strpad('stimDuration in component environment (second)');
LEGEND_ALGEBRAIC(:,1) = strpad('tPeriod in component environment (second)');
LEGEND_ALGEBRAIC(:,2) = strpad('cGq in component environment (mM)');
LEGEND_ALGEBRAIC(:,3) = strpad('cCa in component environment (mM)');
LEGEND_ALGEBRAIC(:,4) = strpad('cDAG in component environment (mM)');
LEGEND_ALGEBRAIC(:,5) = strpad('cIP3 in component environment (mM)');
LEGEND_CONSTANTS(:,4) = strpad('kappa_R0_PLC in component PLC_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,5) = strpad('kappa_R1_PLC in component PLC_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,6) = strpad('kappa_R2a_PLC in component PLC_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,7) = strpad('kappa_R2b_PLC in component PLC_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,8) = strpad('kappa_R3a_PLC in component PLC_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,9) = strpad('kappa_R3b_PLC in component PLC_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,10) = strpad('kappa_R4_PLC in component PLC_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,11) = strpad('kappa_R5_PLC in component PLC_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,12) = strpad('kappa_R6_PLC in component PLC_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,13) = strpad('kappa_R7_PLC in component PLC_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,14) = strpad('kappa_R8_PLC in component PLC_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,15) = strpad('K_DAG in component PLC_parameters (per_fmol)');
LEGEND_CONSTANTS(:,16) = strpad('K_PC in component PLC_parameters (per_fmol)');
LEGEND_CONSTANTS(:,17) = strpad('K_IP3 in component PLC_parameters (per_fmol)');
LEGEND_CONSTANTS(:,18) = strpad('K_Ino in component PLC_parameters (per_fmol)');
LEGEND_CONSTANTS(:,19) = strpad('K_PLC in component PLC_parameters (per_fmol)');
LEGEND_CONSTANTS(:,20) = strpad('K_Gq in component PLC_parameters (per_fmol)');
LEGEND_CONSTANTS(:,21) = strpad('K_Ca in component PLC_parameters (per_fmol)');
LEGEND_CONSTANTS(:,22) = strpad('K_Gq_PLC in component PLC_parameters (per_fmol)');
LEGEND_CONSTANTS(:,23) = strpad('K_Ca_PLC in component PLC_parameters (per_fmol)');
LEGEND_CONSTANTS(:,24) = strpad('K_Ca_Gq_PLC in component PLC_parameters (per_fmol)');
LEGEND_CONSTANTS(:,25) = strpad('K_G_GDP in component PLC_parameters (per_fmol)');
LEGEND_CONSTANTS(:,26) = strpad('K_PIP2 in component PLC_parameters (per_fmol)');
LEGEND_CONSTANTS(:,27) = strpad('K_CaPLC_PIP2 in component PLC_parameters (per_fmol)');
LEGEND_CONSTANTS(:,28) = strpad('K_CaGqPLC_PIP2 in component PLC_parameters (per_fmol)');
LEGEND_CONSTANTS(:,29) = strpad('R in component constants (J_per_K_per_mol)');
LEGEND_CONSTANTS(:,30) = strpad('T in component constants (kelvin)');
LEGEND_ALGEBRAIC(:,7) = strpad('mu_DAG in component PLC (J_per_mol)');
LEGEND_ALGEBRAIC(:,8) = strpad('mu_PC in component PLC (J_per_mol)');
LEGEND_ALGEBRAIC(:,9) = strpad('mu_IP3 in component PLC (J_per_mol)');
LEGEND_ALGEBRAIC(:,10) = strpad('mu_Ino in component PLC (J_per_mol)');
LEGEND_ALGEBRAIC(:,11) = strpad('mu_PLC in component PLC (J_per_mol)');
LEGEND_ALGEBRAIC(:,12) = strpad('mu_Gq in component PLC (J_per_mol)');
LEGEND_ALGEBRAIC(:,13) = strpad('mu_Ca in component PLC (J_per_mol)');
LEGEND_ALGEBRAIC(:,14) = strpad('mu_Gq_PLC in component PLC (J_per_mol)');
LEGEND_ALGEBRAIC(:,15) = strpad('mu_Ca_PLC in component PLC (J_per_mol)');
LEGEND_ALGEBRAIC(:,16) = strpad('mu_Ca_Gq_PLC in component PLC (J_per_mol)');
LEGEND_ALGEBRAIC(:,17) = strpad('mu_G_GDP in component PLC (J_per_mol)');
LEGEND_ALGEBRAIC(:,18) = strpad('mu_PIP2 in component PLC (J_per_mol)');
LEGEND_ALGEBRAIC(:,19) = strpad('mu_CaPLC_PIP2 in component PLC (J_per_mol)');
LEGEND_ALGEBRAIC(:,20) = strpad('mu_CaGqPLC_PIP2 in component PLC (J_per_mol)');
LEGEND_CONSTANTS(:,31) = strpad('F in component constants (C_per_mol)');
LEGEND_RATES(:,1) = strpad('d/dt q_DAG in component environment (fmol)');
LEGEND_RATES(:,2) = strpad('d/dt q_PC in component environment (fmol)');
LEGEND_RATES(:,3) = strpad('d/dt q_IP3 in component environment (fmol)');
LEGEND_RATES(:,4) = strpad('d/dt q_Ino in component environment (fmol)');
LEGEND_RATES(:,5) = strpad('d/dt q_PLC in component environment (fmol)');
LEGEND_RATES(:,6) = strpad('d/dt q_Gq in component environment (fmol)');
LEGEND_RATES(:,7) = strpad('d/dt q_Ca in component environment (fmol)');
LEGEND_RATES(:,8) = strpad('d/dt q_Gq_PLC in component environment (fmol)');
LEGEND_RATES(:,9) = strpad('d/dt q_Ca_PLC in component environment (fmol)');
LEGEND_RATES(:,10) = strpad('d/dt q_Ca_Gq_PLC in component environment (fmol)');
LEGEND_RATES(:,11) = strpad('d/dt q_G_GDP in component environment (fmol)');
LEGEND_RATES(:,12) = strpad('d/dt q_PIP2 in component environment (fmol)');
LEGEND_RATES(:,13) = strpad('d/dt q_CaPLC_PIP2 in component environment (fmol)');
LEGEND_RATES(:,14) = strpad('d/dt q_CaGqPLC_PIP2 in component environment (fmol)');
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) = 38;
STATES(:,1) = 0;
STATES(:,2) = 0;
STATES(:,3) = 0;
STATES(:,4) = 0;
STATES(:,5) = 30.4;
STATES(:,6) = 38;
STATES(:,7) = 38;
STATES(:,8) = 0;
STATES(:,9) = 0;
STATES(:,10) = 38;
STATES(:,11) = 0;
STATES(:,12) = 380;
STATES(:,13) = 0;
STATES(:,14) = 0;
CONSTANTS(:,2) = 1;
CONSTANTS(:,3) = 0.01;
CONSTANTS(:,4) = 0.0700317;
CONSTANTS(:,5) = 0.178887;
CONSTANTS(:,6) = 71285.5;
CONSTANTS(:,7) = 2.73747;
CONSTANTS(:,8) = 5697.81;
CONSTANTS(:,9) = 0.00287164;
CONSTANTS(:,10) = 2.13383;
CONSTANTS(:,11) = 2.28508;
CONSTANTS(:,12) = 0.170556;
CONSTANTS(:,13) = 0.170556;
CONSTANTS(:,14) = 0.00226839;
CONSTANTS(:,15) = 0.577328;
CONSTANTS(:,16) = 0.00384885;
CONSTANTS(:,17) = 3.76694;
CONSTANTS(:,18) = 0.00150678;
CONSTANTS(:,19) = 0.000942826;
CONSTANTS(:,20) = 0.000141635;
CONSTANTS(:,21) = 0.000180564;
CONSTANTS(:,22) = 0.117957;
CONSTANTS(:,23) = 0.126318;
CONSTANTS(:,24) = 1.58037;
CONSTANTS(:,25) = 0.000141635;
CONSTANTS(:,26) = 8.06835;
CONSTANTS(:,27) = 18.9051;
CONSTANTS(:,28) = 938.634;
CONSTANTS(:,29) = 8.31;
CONSTANTS(:,30) = 310;
CONSTANTS(:,31) = 96485;
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(:,7) = CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,15).*STATES(:,1));
ALGEBRAIC(:,8) = CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,16).*STATES(:,2));
ALGEBRAIC(:,21) = CONSTANTS(:,4).*(exp(ALGEBRAIC(:,7)./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp(ALGEBRAIC(:,8)./( CONSTANTS(:,29).*CONSTANTS(:,30))));
RATES(:,2) = ALGEBRAIC(:,21);
ALGEBRAIC(:,9) = CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,17).*STATES(:,3));
ALGEBRAIC(:,10) = CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,18).*STATES(:,4));
ALGEBRAIC(:,22) = CONSTANTS(:,5).*(exp(ALGEBRAIC(:,9)./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp(ALGEBRAIC(:,10)./( CONSTANTS(:,29).*CONSTANTS(:,30))));
RATES(:,4) = ALGEBRAIC(:,22);
ALGEBRAIC(:,15) = CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,23).*STATES(:,9));
ALGEBRAIC(:,18) = CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,26).*STATES(:,12));
ALGEBRAIC(:,19) = CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,27).*STATES(:,13));
ALGEBRAIC(:,23) = CONSTANTS(:,6).*(exp((ALGEBRAIC(:,18)+ALGEBRAIC(:,15))./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp(ALGEBRAIC(:,19)./( CONSTANTS(:,29).*CONSTANTS(:,30))));
ALGEBRAIC(:,24) = CONSTANTS(:,7).*(exp(ALGEBRAIC(:,19)./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp((ALGEBRAIC(:,7)+ALGEBRAIC(:,9)+ALGEBRAIC(:,15))./( CONSTANTS(:,29).*CONSTANTS(:,30))));
RATES(:,13) = ALGEBRAIC(:,23) - ALGEBRAIC(:,24);
ALGEBRAIC(:,16) = CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,24).*STATES(:,10));
ALGEBRAIC(:,20) = CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,28).*STATES(:,14));
ALGEBRAIC(:,25) = CONSTANTS(:,8).*(exp((ALGEBRAIC(:,18)+ALGEBRAIC(:,16))./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp(ALGEBRAIC(:,20)./( CONSTANTS(:,29).*CONSTANTS(:,30))));
RATES(:,12) = - ALGEBRAIC(:,23) - ALGEBRAIC(:,25);
ALGEBRAIC(:,26) = CONSTANTS(:,9).*(exp(ALGEBRAIC(:,20)./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp((ALGEBRAIC(:,7)+ALGEBRAIC(:,9)+ALGEBRAIC(:,16))./( CONSTANTS(:,29).*CONSTANTS(:,30))));
RATES(:,1) = (ALGEBRAIC(:,24)+ALGEBRAIC(:,26)) - ALGEBRAIC(:,21);
RATES(:,3) = (ALGEBRAIC(:,24)+ALGEBRAIC(:,26)) - ALGEBRAIC(:,22);
RATES(:,14) = ALGEBRAIC(:,25) - ALGEBRAIC(:,26);
ALGEBRAIC(:,11) = CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,19).*STATES(:,5));
ALGEBRAIC(:,13) = CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,21).*STATES(:,7));
ALGEBRAIC(:,27) = CONSTANTS(:,10).*(exp((ALGEBRAIC(:,11)+ALGEBRAIC(:,13))./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp(ALGEBRAIC(:,15)./( CONSTANTS(:,29).*CONSTANTS(:,30))));
ALGEBRAIC(:,12) = CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,20).*STATES(:,6));
ALGEBRAIC(:,14) = CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,22).*STATES(:,8));
ALGEBRAIC(:,28) = CONSTANTS(:,11).*(exp((ALGEBRAIC(:,11)+ALGEBRAIC(:,12))./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp(ALGEBRAIC(:,14)./( CONSTANTS(:,29).*CONSTANTS(:,30))));
RATES(:,5) = - ALGEBRAIC(:,27) - ALGEBRAIC(:,28);
ALGEBRAIC(:,29) = CONSTANTS(:,12).*(exp((ALGEBRAIC(:,14)+ALGEBRAIC(:,13))./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp(ALGEBRAIC(:,16)./( CONSTANTS(:,29).*CONSTANTS(:,30))));
RATES(:,7) = - ALGEBRAIC(:,27) - ALGEBRAIC(:,29);
RATES(:,8) = ALGEBRAIC(:,28) - ALGEBRAIC(:,29);
ALGEBRAIC(:,30) = CONSTANTS(:,13).*(exp(ALGEBRAIC(:,16)./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp((ALGEBRAIC(:,12)+ALGEBRAIC(:,15))./( CONSTANTS(:,29).*CONSTANTS(:,30))));
ALGEBRAIC(:,1) = VOI - floor(VOI./CONSTANTS(:,2)).*CONSTANTS(:,2);
ALGEBRAIC(:,6) = piecewise({ALGEBRAIC(:,1)>=0.300000&ALGEBRAIC(:,1)<=0.300000+CONSTANTS(:,3), 0.00000.*100.000 }, 0.00000);
RATES(:,6) = - ALGEBRAIC(:,28)+ALGEBRAIC(:,30)+ALGEBRAIC(:,6);
ALGEBRAIC(:,17) = CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,25).*STATES(:,11));
ALGEBRAIC(:,31) = CONSTANTS(:,14).*(exp(ALGEBRAIC(:,16)./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp((ALGEBRAIC(:,17)+ALGEBRAIC(:,15))./( CONSTANTS(:,29).*CONSTANTS(:,30))));
RATES(:,9) = - ALGEBRAIC(:,23)+ALGEBRAIC(:,24)+ALGEBRAIC(:,27)+ALGEBRAIC(:,30)+ALGEBRAIC(:,31);
RATES(:,10) = (( - ALGEBRAIC(:,25)+ALGEBRAIC(:,26)+ALGEBRAIC(:,29)) - ALGEBRAIC(:,30)) - ALGEBRAIC(:,31);
RATES(:,11) = ALGEBRAIC(:,31);
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(:,7) = CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,15).*STATES(:,1));
ALGEBRAIC(:,8) = CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,16).*STATES(:,2));
ALGEBRAIC(:,21) = CONSTANTS(:,4).*(exp(ALGEBRAIC(:,7)./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp(ALGEBRAIC(:,8)./( CONSTANTS(:,29).*CONSTANTS(:,30))));
ALGEBRAIC(:,9) = CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,17).*STATES(:,3));
ALGEBRAIC(:,10) = CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,18).*STATES(:,4));
ALGEBRAIC(:,22) = CONSTANTS(:,5).*(exp(ALGEBRAIC(:,9)./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp(ALGEBRAIC(:,10)./( CONSTANTS(:,29).*CONSTANTS(:,30))));
ALGEBRAIC(:,15) = CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,23).*STATES(:,9));
ALGEBRAIC(:,18) = CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,26).*STATES(:,12));
ALGEBRAIC(:,19) = CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,27).*STATES(:,13));
ALGEBRAIC(:,23) = CONSTANTS(:,6).*(exp((ALGEBRAIC(:,18)+ALGEBRAIC(:,15))./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp(ALGEBRAIC(:,19)./( CONSTANTS(:,29).*CONSTANTS(:,30))));
ALGEBRAIC(:,24) = CONSTANTS(:,7).*(exp(ALGEBRAIC(:,19)./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp((ALGEBRAIC(:,7)+ALGEBRAIC(:,9)+ALGEBRAIC(:,15))./( CONSTANTS(:,29).*CONSTANTS(:,30))));
ALGEBRAIC(:,16) = CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,24).*STATES(:,10));
ALGEBRAIC(:,20) = CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,28).*STATES(:,14));
ALGEBRAIC(:,25) = CONSTANTS(:,8).*(exp((ALGEBRAIC(:,18)+ALGEBRAIC(:,16))./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp(ALGEBRAIC(:,20)./( CONSTANTS(:,29).*CONSTANTS(:,30))));
ALGEBRAIC(:,26) = CONSTANTS(:,9).*(exp(ALGEBRAIC(:,20)./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp((ALGEBRAIC(:,7)+ALGEBRAIC(:,9)+ALGEBRAIC(:,16))./( CONSTANTS(:,29).*CONSTANTS(:,30))));
ALGEBRAIC(:,11) = CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,19).*STATES(:,5));
ALGEBRAIC(:,13) = CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,21).*STATES(:,7));
ALGEBRAIC(:,27) = CONSTANTS(:,10).*(exp((ALGEBRAIC(:,11)+ALGEBRAIC(:,13))./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp(ALGEBRAIC(:,15)./( CONSTANTS(:,29).*CONSTANTS(:,30))));
ALGEBRAIC(:,12) = CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,20).*STATES(:,6));
ALGEBRAIC(:,14) = CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,22).*STATES(:,8));
ALGEBRAIC(:,28) = CONSTANTS(:,11).*(exp((ALGEBRAIC(:,11)+ALGEBRAIC(:,12))./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp(ALGEBRAIC(:,14)./( CONSTANTS(:,29).*CONSTANTS(:,30))));
ALGEBRAIC(:,29) = CONSTANTS(:,12).*(exp((ALGEBRAIC(:,14)+ALGEBRAIC(:,13))./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp(ALGEBRAIC(:,16)./( CONSTANTS(:,29).*CONSTANTS(:,30))));
ALGEBRAIC(:,30) = CONSTANTS(:,13).*(exp(ALGEBRAIC(:,16)./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp((ALGEBRAIC(:,12)+ALGEBRAIC(:,15))./( CONSTANTS(:,29).*CONSTANTS(:,30))));
ALGEBRAIC(:,1) = VOI - floor(VOI./CONSTANTS(:,2)).*CONSTANTS(:,2);
ALGEBRAIC(:,6) = piecewise({ALGEBRAIC(:,1)>=0.300000&ALGEBRAIC(:,1)<=0.300000+CONSTANTS(:,3), 0.00000.*100.000 }, 0.00000);
ALGEBRAIC(:,17) = CONSTANTS(:,29).*CONSTANTS(:,30).*log( CONSTANTS(:,25).*STATES(:,11));
ALGEBRAIC(:,31) = CONSTANTS(:,14).*(exp(ALGEBRAIC(:,16)./( CONSTANTS(:,29).*CONSTANTS(:,30))) - exp((ALGEBRAIC(:,17)+ALGEBRAIC(:,15))./( CONSTANTS(:,29).*CONSTANTS(:,30))));
ALGEBRAIC(:,2) = STATES(:,6)./CONSTANTS(:,1);
ALGEBRAIC(:,3) = STATES(:,7)./CONSTANTS(:,1);
ALGEBRAIC(:,4) = STATES(:,1)./CONSTANTS(:,1);
ALGEBRAIC(:,5) = STATES(:,3)./CONSTANTS(:,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