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 =54;
end
% There are a total of 7 entries in each of the rate and state variable arrays.
% There are a total of 46 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('t in component params_BG (second)');
LEGEND_CONSTANTS(:,1) = strpad('R in component params_BG (J_per_K_mol)');
LEGEND_CONSTANTS(:,2) = strpad('T in component params_BG (kelvin)');
LEGEND_CONSTANTS(:,3) = strpad('F in component params_BG (C_per_mol)');
LEGEND_CONSTANTS(:,4) = strpad('K_Nai in component params_BG (per_fmol)');
LEGEND_CONSTANTS(:,39) = strpad('q_Nai in component params_BG (fmol)');
LEGEND_CONSTANTS(:,5) = strpad('K_Nao in component params_BG (per_fmol)');
LEGEND_CONSTANTS(:,41) = strpad('q_Nao in component params_BG (fmol)');
LEGEND_CONSTANTS(:,6) = strpad('K_Glci in component params_BG (per_fmol)');
LEGEND_CONSTANTS(:,43) = strpad('q_Glci in component params_BG (fmol)');
LEGEND_CONSTANTS(:,7) = strpad('K_Glco in component params_BG (per_fmol)');
LEGEND_CONSTANTS(:,45) = strpad('q_Glco in component params_BG (fmol)');
LEGEND_CONSTANTS(:,8) = strpad('K_1 in component params_BG (per_fmol)');
LEGEND_CONSTANTS(:,9) = strpad('q_init_1 in component params_BG (fmol)');
LEGEND_CONSTANTS(:,10) = strpad('K_2 in component params_BG (per_fmol)');
LEGEND_CONSTANTS(:,11) = strpad('q_init_2 in component params_BG (fmol)');
LEGEND_CONSTANTS(:,12) = strpad('K_3 in component params_BG (per_fmol)');
LEGEND_CONSTANTS(:,13) = strpad('q_init_3 in component params_BG (fmol)');
LEGEND_CONSTANTS(:,14) = strpad('K_4 in component params_BG (per_fmol)');
LEGEND_CONSTANTS(:,15) = strpad('q_init_4 in component params_BG (fmol)');
LEGEND_CONSTANTS(:,16) = strpad('K_5 in component params_BG (per_fmol)');
LEGEND_CONSTANTS(:,17) = strpad('q_init_5 in component params_BG (fmol)');
LEGEND_CONSTANTS(:,18) = strpad('K_6 in component params_BG (per_fmol)');
LEGEND_CONSTANTS(:,19) = strpad('q_init_6 in component params_BG (fmol)');
LEGEND_ALGEBRAIC(:,25) = strpad('V0_Vm in component params_BG (volt)');
LEGEND_CONSTANTS(:,20) = strpad('z_zf1 in component params_BG (dimensionless)');
LEGEND_CONSTANTS(:,21) = strpad('z_zr1 in component params_BG (dimensionless)');
LEGEND_CONSTANTS(:,22) = strpad('z_zf6 in component params_BG (dimensionless)');
LEGEND_CONSTANTS(:,23) = strpad('z_zr6 in component params_BG (dimensionless)');
LEGEND_CONSTANTS(:,24) = strpad('kappa_r1 in component params_BG (fmol_per_s)');
LEGEND_CONSTANTS(:,25) = strpad('kappa_r2 in component params_BG (fmol_per_s)');
LEGEND_CONSTANTS(:,26) = strpad('kappa_r3 in component params_BG (fmol_per_s)');
LEGEND_CONSTANTS(:,27) = strpad('kappa_r4 in component params_BG (fmol_per_s)');
LEGEND_CONSTANTS(:,28) = strpad('kappa_r5 in component params_BG (fmol_per_s)');
LEGEND_CONSTANTS(:,29) = strpad('kappa_r6 in component params_BG (fmol_per_s)');
LEGEND_CONSTANTS(:,30) = strpad('kappa_r7 in component params_BG (fmol_per_s)');
LEGEND_CONSTANTS(:,40) = strpad('mu_Nai in component SGLT1_BG (J_per_mol)');
LEGEND_CONSTANTS(:,42) = strpad('mu_Nao in component SGLT1_BG (J_per_mol)');
LEGEND_CONSTANTS(:,44) = strpad('mu_Glci in component SGLT1_BG (J_per_mol)');
LEGEND_CONSTANTS(:,46) = strpad('mu_Glco in component SGLT1_BG (J_per_mol)');
LEGEND_ALGEBRAIC(:,1) = strpad('mu_1 in component SGLT1_BG (J_per_mol)');
LEGEND_ALGEBRAIC(:,47) = strpad('v_1 in component SGLT1_BG (fmol_per_s)');
LEGEND_ALGEBRAIC(:,3) = strpad('mu_2 in component SGLT1_BG (J_per_mol)');
LEGEND_ALGEBRAIC(:,39) = strpad('v_2 in component SGLT1_BG (fmol_per_s)');
LEGEND_ALGEBRAIC(:,4) = strpad('mu_3 in component SGLT1_BG (J_per_mol)');
LEGEND_ALGEBRAIC(:,14) = strpad('v_3 in component SGLT1_BG (fmol_per_s)');
LEGEND_ALGEBRAIC(:,5) = strpad('mu_4 in component SGLT1_BG (J_per_mol)');
LEGEND_ALGEBRAIC(:,18) = strpad('v_4 in component SGLT1_BG (fmol_per_s)');
LEGEND_ALGEBRAIC(:,6) = strpad('mu_5 in component SGLT1_BG (J_per_mol)');
LEGEND_ALGEBRAIC(:,26) = strpad('v_5 in component SGLT1_BG (fmol_per_s)');
LEGEND_ALGEBRAIC(:,7) = strpad('mu_6 in component SGLT1_BG (J_per_mol)');
LEGEND_ALGEBRAIC(:,48) = strpad('v_6 in component SGLT1_BG (fmol_per_s)');
LEGEND_ALGEBRAIC(:,27) = strpad('V_Vm in component SGLT1_BG (volt)');
LEGEND_ALGEBRAIC(:,28) = strpad('V_zf1 in component SGLT1_BG (volt)');
LEGEND_ALGEBRAIC(:,41) = strpad('I_zf1 in component SGLT1_BG (fA)');
LEGEND_ALGEBRAIC(:,29) = strpad('mu_zf1 in component SGLT1_BG (J_per_mol)');
LEGEND_ALGEBRAIC(:,40) = strpad('v_zf1 in component SGLT1_BG (fmol_per_s)');
LEGEND_ALGEBRAIC(:,30) = strpad('V_zr1 in component SGLT1_BG (volt)');
LEGEND_ALGEBRAIC(:,43) = strpad('I_zr1 in component SGLT1_BG (fA)');
LEGEND_ALGEBRAIC(:,31) = strpad('mu_zr1 in component SGLT1_BG (J_per_mol)');
LEGEND_ALGEBRAIC(:,42) = strpad('v_zr1 in component SGLT1_BG (fmol_per_s)');
LEGEND_ALGEBRAIC(:,32) = strpad('V_zf6 in component SGLT1_BG (volt)');
LEGEND_ALGEBRAIC(:,51) = strpad('I_zf6 in component SGLT1_BG (fA)');
LEGEND_ALGEBRAIC(:,33) = strpad('mu_zf6 in component SGLT1_BG (J_per_mol)');
LEGEND_ALGEBRAIC(:,49) = strpad('v_zf6 in component SGLT1_BG (fmol_per_s)');
LEGEND_ALGEBRAIC(:,34) = strpad('V_zr6 in component SGLT1_BG (volt)');
LEGEND_ALGEBRAIC(:,53) = strpad('I_zr6 in component SGLT1_BG (fA)');
LEGEND_ALGEBRAIC(:,35) = strpad('mu_zr6 in component SGLT1_BG (J_per_mol)');
LEGEND_ALGEBRAIC(:,52) = strpad('v_zr6 in component SGLT1_BG (fmol_per_s)');
LEGEND_ALGEBRAIC(:,36) = strpad('A_f_r1 in component SGLT1_BG (J_per_mol)');
LEGEND_ALGEBRAIC(:,38) = strpad('v_r1 in component SGLT1_BG (fmol_per_s)');
LEGEND_ALGEBRAIC(:,37) = strpad('A_r_r1 in component SGLT1_BG (J_per_mol)');
LEGEND_ALGEBRAIC(:,8) = strpad('A_f_r2 in component SGLT1_BG (J_per_mol)');
LEGEND_ALGEBRAIC(:,10) = strpad('v_r2 in component SGLT1_BG (fmol_per_s)');
LEGEND_ALGEBRAIC(:,9) = strpad('A_r_r2 in component SGLT1_BG (J_per_mol)');
LEGEND_ALGEBRAIC(:,11) = strpad('A_f_r3 in component SGLT1_BG (J_per_mol)');
LEGEND_ALGEBRAIC(:,13) = strpad('v_r3 in component SGLT1_BG (fmol_per_s)');
LEGEND_ALGEBRAIC(:,12) = strpad('A_r_r3 in component SGLT1_BG (J_per_mol)');
LEGEND_ALGEBRAIC(:,15) = strpad('A_f_r4 in component SGLT1_BG (J_per_mol)');
LEGEND_ALGEBRAIC(:,17) = strpad('v_r4 in component SGLT1_BG (fmol_per_s)');
LEGEND_ALGEBRAIC(:,16) = strpad('A_r_r4 in component SGLT1_BG (J_per_mol)');
LEGEND_ALGEBRAIC(:,19) = strpad('A_f_r5 in component SGLT1_BG (J_per_mol)');
LEGEND_ALGEBRAIC(:,21) = strpad('v_r5 in component SGLT1_BG (fmol_per_s)');
LEGEND_ALGEBRAIC(:,20) = strpad('A_r_r5 in component SGLT1_BG (J_per_mol)');
LEGEND_ALGEBRAIC(:,44) = strpad('A_f_r6 in component SGLT1_BG (J_per_mol)');
LEGEND_ALGEBRAIC(:,46) = strpad('v_r6 in component SGLT1_BG (fmol_per_s)');
LEGEND_ALGEBRAIC(:,45) = strpad('A_r_r6 in component SGLT1_BG (J_per_mol)');
LEGEND_ALGEBRAIC(:,22) = strpad('A_f_r7 in component SGLT1_BG (J_per_mol)');
LEGEND_ALGEBRAIC(:,24) = strpad('v_r7 in component SGLT1_BG (fmol_per_s)');
LEGEND_ALGEBRAIC(:,23) = strpad('A_r_r7 in component SGLT1_BG (J_per_mol)');
LEGEND_STATES(:,1) = strpad('q_1 in component SGLT1_BG (fmol)');
LEGEND_STATES(:,2) = strpad('q_2 in component SGLT1_BG (fmol)');
LEGEND_STATES(:,3) = strpad('q_3 in component SGLT1_BG (fmol)');
LEGEND_STATES(:,4) = strpad('q_4 in component SGLT1_BG (fmol)');
LEGEND_STATES(:,5) = strpad('q_5 in component SGLT1_BG (fmol)');
LEGEND_STATES(:,6) = strpad('q_6 in component SGLT1_BG (fmol)');
LEGEND_ALGEBRAIC(:,54) = strpad('Ii in component SGLT1_BG (fA)');
LEGEND_ALGEBRAIC(:,50) = strpad('I_ss in component SGLT1_BG (fA)');
LEGEND_CONSTANTS(:,31) = strpad('Nai in component params_BG (mM)');
LEGEND_CONSTANTS(:,32) = strpad('Nao in component params_BG (mM)');
LEGEND_CONSTANTS(:,33) = strpad('Glci in component params_BG (mM)');
LEGEND_CONSTANTS(:,34) = strpad('Glco in component params_BG (mM)');
LEGEND_CONSTANTS(:,35) = strpad('V_i in component params_BG (pL)');
LEGEND_CONSTANTS(:,36) = strpad('V_o in component params_BG (pL)');
LEGEND_STATES(:,7) = strpad('V_E in component params_BG (volt)');
LEGEND_CONSTANTS(:,37) = strpad('test_volt in component params_BG (volt)');
LEGEND_ALGEBRAIC(:,2) = strpad('rate_VE in component params_BG (volt_per_s)');
LEGEND_CONSTANTS(:,38) = strpad('dt in component params_BG (second)');
LEGEND_RATES(:,1) = strpad('d/dt q_1 in component SGLT1_BG (fmol)');
LEGEND_RATES(:,2) = strpad('d/dt q_2 in component SGLT1_BG (fmol)');
LEGEND_RATES(:,3) = strpad('d/dt q_3 in component SGLT1_BG (fmol)');
LEGEND_RATES(:,4) = strpad('d/dt q_4 in component SGLT1_BG (fmol)');
LEGEND_RATES(:,5) = strpad('d/dt q_5 in component SGLT1_BG (fmol)');
LEGEND_RATES(:,6) = strpad('d/dt q_6 in component SGLT1_BG (fmol)');
LEGEND_RATES(:,7) = strpad('d/dt V_E in component params_BG (volt)');
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) = 8.31;
CONSTANTS(:,2) = 293;
CONSTANTS(:,3) = 96485;
CONSTANTS(:,4) = 3.216e-1;
CONSTANTS(:,5) = 3.216e-1;
CONSTANTS(:,6) = 4.848e1;
CONSTANTS(:,7) = 4.848e1;
CONSTANTS(:,8) = 2.235;
CONSTANTS(:,9) = 13.7727015449461;
CONSTANTS(:,10) = 10.437;
CONSTANTS(:,11) = 72.295598813025;
CONSTANTS(:,12) = 8.602;
CONSTANTS(:,13) = 0.16701061319503;
CONSTANTS(:,14) = 8.602;
CONSTANTS(:,15) = 0.233806833618937;
CONSTANTS(:,16) = 28.628;
CONSTANTS(:,17) = 1.73527350102727;
CONSTANTS(:,18) = 0.192;
CONSTANTS(:,19) = 11.4302815603453;
CONSTANTS(:,20) = 0.3;
CONSTANTS(:,21) = 0.3;
CONSTANTS(:,22) = 0.7;
CONSTANTS(:,23) = 0.7;
CONSTANTS(:,24) = 47.905;
CONSTANTS(:,25) = 2.325;
CONSTANTS(:,26) = 5.812;
CONSTANTS(:,27) = 92.998;
CONSTANTS(:,28) = 0.349;
CONSTANTS(:,29) = 15.661;
CONSTANTS(:,30) = 0.029;
CONSTANTS(:,31) = 20;
CONSTANTS(:,32) = 100;
CONSTANTS(:,33) = 10e-3;
CONSTANTS(:,34) = 1e-12;
CONSTANTS(:,35) = 8.5e-2;
CONSTANTS(:,36) = 8.5e-2;
STATES(:,7) = -0.05;
CONSTANTS(:,37) = 0;
CONSTANTS(:,38) = 1e-3;
CONSTANTS(:,39) = CONSTANTS(:,31).*CONSTANTS(:,35);
CONSTANTS(:,40) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,4).*CONSTANTS(:,39));
CONSTANTS(:,41) = CONSTANTS(:,32).*CONSTANTS(:,36);
CONSTANTS(:,42) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,5).*CONSTANTS(:,41));
CONSTANTS(:,43) = CONSTANTS(:,33).*CONSTANTS(:,35);
CONSTANTS(:,44) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,6).*CONSTANTS(:,43));
CONSTANTS(:,45) = CONSTANTS(:,34).*CONSTANTS(:,36);
CONSTANTS(:,46) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,7).*CONSTANTS(:,45));
STATES(:,1) = CONSTANTS(:,9);
STATES(:,2) = CONSTANTS(:,11);
STATES(:,3) = CONSTANTS(:,13);
STATES(:,4) = CONSTANTS(:,15);
STATES(:,5) = CONSTANTS(:,17);
STATES(:,6) = CONSTANTS(:,19);
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(:,2) = piecewise({VOI<1.20475, 0.00000 , VOI>=1.20475&VOI<1.20475+CONSTANTS(:,38), (CONSTANTS(:,37)+0.0500000)./CONSTANTS(:,38) , VOI>=1.20475+CONSTANTS(:,38)&VOI<2.98475, 0.00000 , VOI>=2.98475&VOI<2.98475+CONSTANTS(:,38), - (CONSTANTS(:,37)+0.0500000)./CONSTANTS(:,38) }, 0.00000);
RATES(:,7) = ALGEBRAIC(:,2);
ALGEBRAIC(:,3) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,10).*STATES(:,2));
ALGEBRAIC(:,8) = CONSTANTS(:,46)+ALGEBRAIC(:,3);
ALGEBRAIC(:,4) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,12).*STATES(:,3));
ALGEBRAIC(:,9) = ALGEBRAIC(:,4);
ALGEBRAIC(:,10) = CONSTANTS(:,25).*(exp(ALGEBRAIC(:,8)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,9)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,11) = ALGEBRAIC(:,4);
ALGEBRAIC(:,5) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,14).*STATES(:,4));
ALGEBRAIC(:,12) = ALGEBRAIC(:,5);
ALGEBRAIC(:,13) = CONSTANTS(:,26).*(exp(ALGEBRAIC(:,11)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,12)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,14) = ALGEBRAIC(:,10) - ALGEBRAIC(:,13);
RATES(:,3) = ALGEBRAIC(:,14);
ALGEBRAIC(:,15) = ALGEBRAIC(:,5);
ALGEBRAIC(:,6) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,16).*STATES(:,5));
ALGEBRAIC(:,16) = CONSTANTS(:,44)+ALGEBRAIC(:,6);
ALGEBRAIC(:,17) = CONSTANTS(:,27).*(exp(ALGEBRAIC(:,15)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,16)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,18) = ALGEBRAIC(:,13) - ALGEBRAIC(:,17);
RATES(:,4) = ALGEBRAIC(:,18);
ALGEBRAIC(:,19) = ALGEBRAIC(:,6);
ALGEBRAIC(:,7) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,18).*STATES(:,6));
ALGEBRAIC(:,20) = 2.00000.*CONSTANTS(:,40)+ALGEBRAIC(:,7);
ALGEBRAIC(:,21) = CONSTANTS(:,28).*(exp(ALGEBRAIC(:,19)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,20)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,22) = ALGEBRAIC(:,3);
ALGEBRAIC(:,23) = ALGEBRAIC(:,6);
ALGEBRAIC(:,24) = CONSTANTS(:,30).*(exp(ALGEBRAIC(:,22)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,23)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,26) = (ALGEBRAIC(:,17) - ALGEBRAIC(:,21))+ALGEBRAIC(:,24);
RATES(:,5) = ALGEBRAIC(:,26);
ALGEBRAIC(:,1) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,8).*STATES(:,1));
ALGEBRAIC(:,25) = STATES(:,7);
ALGEBRAIC(:,27) = ALGEBRAIC(:,25);
ALGEBRAIC(:,28) = ALGEBRAIC(:,27);
ALGEBRAIC(:,29) = CONSTANTS(:,20).*CONSTANTS(:,3).*ALGEBRAIC(:,28);
ALGEBRAIC(:,36) = ( 2.00000.*CONSTANTS(:,42)+ALGEBRAIC(:,1)) - ALGEBRAIC(:,29);
ALGEBRAIC(:,30) = ALGEBRAIC(:,27);
ALGEBRAIC(:,31) = CONSTANTS(:,21).*CONSTANTS(:,3).*ALGEBRAIC(:,30);
ALGEBRAIC(:,37) = ALGEBRAIC(:,3)+ALGEBRAIC(:,31);
ALGEBRAIC(:,38) = CONSTANTS(:,24).*(exp(ALGEBRAIC(:,36)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,37)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,39) = (ALGEBRAIC(:,38) - ALGEBRAIC(:,10)) - ALGEBRAIC(:,24);
RATES(:,2) = ALGEBRAIC(:,39);
ALGEBRAIC(:,32) = ALGEBRAIC(:,27);
ALGEBRAIC(:,33) = CONSTANTS(:,22).*CONSTANTS(:,3).*ALGEBRAIC(:,32);
ALGEBRAIC(:,44) = ALGEBRAIC(:,7) - ALGEBRAIC(:,33);
ALGEBRAIC(:,34) = ALGEBRAIC(:,27);
ALGEBRAIC(:,35) = CONSTANTS(:,23).*CONSTANTS(:,3).*ALGEBRAIC(:,34);
ALGEBRAIC(:,45) = ALGEBRAIC(:,1)+ALGEBRAIC(:,35);
ALGEBRAIC(:,46) = CONSTANTS(:,29).*(exp(ALGEBRAIC(:,44)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,45)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,47) = - ALGEBRAIC(:,38)+ALGEBRAIC(:,46);
RATES(:,1) = ALGEBRAIC(:,47);
ALGEBRAIC(:,48) = ALGEBRAIC(:,21) - ALGEBRAIC(:,46);
RATES(:,6) = ALGEBRAIC(:,48);
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(:,2) = piecewise({VOI<1.20475, 0.00000 , VOI>=1.20475&VOI<1.20475+CONSTANTS(:,38), (CONSTANTS(:,37)+0.0500000)./CONSTANTS(:,38) , VOI>=1.20475+CONSTANTS(:,38)&VOI<2.98475, 0.00000 , VOI>=2.98475&VOI<2.98475+CONSTANTS(:,38), - (CONSTANTS(:,37)+0.0500000)./CONSTANTS(:,38) }, 0.00000);
ALGEBRAIC(:,3) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,10).*STATES(:,2));
ALGEBRAIC(:,8) = CONSTANTS(:,46)+ALGEBRAIC(:,3);
ALGEBRAIC(:,4) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,12).*STATES(:,3));
ALGEBRAIC(:,9) = ALGEBRAIC(:,4);
ALGEBRAIC(:,10) = CONSTANTS(:,25).*(exp(ALGEBRAIC(:,8)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,9)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,11) = ALGEBRAIC(:,4);
ALGEBRAIC(:,5) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,14).*STATES(:,4));
ALGEBRAIC(:,12) = ALGEBRAIC(:,5);
ALGEBRAIC(:,13) = CONSTANTS(:,26).*(exp(ALGEBRAIC(:,11)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,12)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,14) = ALGEBRAIC(:,10) - ALGEBRAIC(:,13);
ALGEBRAIC(:,15) = ALGEBRAIC(:,5);
ALGEBRAIC(:,6) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,16).*STATES(:,5));
ALGEBRAIC(:,16) = CONSTANTS(:,44)+ALGEBRAIC(:,6);
ALGEBRAIC(:,17) = CONSTANTS(:,27).*(exp(ALGEBRAIC(:,15)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,16)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,18) = ALGEBRAIC(:,13) - ALGEBRAIC(:,17);
ALGEBRAIC(:,19) = ALGEBRAIC(:,6);
ALGEBRAIC(:,7) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,18).*STATES(:,6));
ALGEBRAIC(:,20) = 2.00000.*CONSTANTS(:,40)+ALGEBRAIC(:,7);
ALGEBRAIC(:,21) = CONSTANTS(:,28).*(exp(ALGEBRAIC(:,19)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,20)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,22) = ALGEBRAIC(:,3);
ALGEBRAIC(:,23) = ALGEBRAIC(:,6);
ALGEBRAIC(:,24) = CONSTANTS(:,30).*(exp(ALGEBRAIC(:,22)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,23)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,26) = (ALGEBRAIC(:,17) - ALGEBRAIC(:,21))+ALGEBRAIC(:,24);
ALGEBRAIC(:,1) = CONSTANTS(:,1).*CONSTANTS(:,2).*log( CONSTANTS(:,8).*STATES(:,1));
ALGEBRAIC(:,25) = STATES(:,7);
ALGEBRAIC(:,27) = ALGEBRAIC(:,25);
ALGEBRAIC(:,28) = ALGEBRAIC(:,27);
ALGEBRAIC(:,29) = CONSTANTS(:,20).*CONSTANTS(:,3).*ALGEBRAIC(:,28);
ALGEBRAIC(:,36) = ( 2.00000.*CONSTANTS(:,42)+ALGEBRAIC(:,1)) - ALGEBRAIC(:,29);
ALGEBRAIC(:,30) = ALGEBRAIC(:,27);
ALGEBRAIC(:,31) = CONSTANTS(:,21).*CONSTANTS(:,3).*ALGEBRAIC(:,30);
ALGEBRAIC(:,37) = ALGEBRAIC(:,3)+ALGEBRAIC(:,31);
ALGEBRAIC(:,38) = CONSTANTS(:,24).*(exp(ALGEBRAIC(:,36)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,37)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,39) = (ALGEBRAIC(:,38) - ALGEBRAIC(:,10)) - ALGEBRAIC(:,24);
ALGEBRAIC(:,32) = ALGEBRAIC(:,27);
ALGEBRAIC(:,33) = CONSTANTS(:,22).*CONSTANTS(:,3).*ALGEBRAIC(:,32);
ALGEBRAIC(:,44) = ALGEBRAIC(:,7) - ALGEBRAIC(:,33);
ALGEBRAIC(:,34) = ALGEBRAIC(:,27);
ALGEBRAIC(:,35) = CONSTANTS(:,23).*CONSTANTS(:,3).*ALGEBRAIC(:,34);
ALGEBRAIC(:,45) = ALGEBRAIC(:,1)+ALGEBRAIC(:,35);
ALGEBRAIC(:,46) = CONSTANTS(:,29).*(exp(ALGEBRAIC(:,44)./( CONSTANTS(:,1).*CONSTANTS(:,2))) - exp(ALGEBRAIC(:,45)./( CONSTANTS(:,1).*CONSTANTS(:,2))));
ALGEBRAIC(:,47) = - ALGEBRAIC(:,38)+ALGEBRAIC(:,46);
ALGEBRAIC(:,48) = ALGEBRAIC(:,21) - ALGEBRAIC(:,46);
ALGEBRAIC(:,40) = ALGEBRAIC(:,38);
ALGEBRAIC(:,41) = CONSTANTS(:,20).*CONSTANTS(:,3).*ALGEBRAIC(:,40);
ALGEBRAIC(:,42) = ALGEBRAIC(:,38);
ALGEBRAIC(:,43) = CONSTANTS(:,21).*CONSTANTS(:,3).*ALGEBRAIC(:,42);
ALGEBRAIC(:,49) = ALGEBRAIC(:,46);
ALGEBRAIC(:,50) = 2.00000.*CONSTANTS(:,3).* - ALGEBRAIC(:,46);
ALGEBRAIC(:,51) = CONSTANTS(:,22).*CONSTANTS(:,3).*ALGEBRAIC(:,49);
ALGEBRAIC(:,52) = ALGEBRAIC(:,46);
ALGEBRAIC(:,53) = CONSTANTS(:,23).*CONSTANTS(:,3).*ALGEBRAIC(:,52);
ALGEBRAIC(:,54) = ALGEBRAIC(:,41)+ALGEBRAIC(:,43)+ALGEBRAIC(:,51)+ALGEBRAIC(:,53);
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