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 =27;
end
% There are a total of 6 entries in each of the rate and state variable arrays.
% There are a total of 27 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('C_m in component environment (fF)');
LEGEND_STATES(:,1) = strpad('q_Ca_o in component environment (fmol)');
LEGEND_STATES(:,2) = strpad('q_Ca_i in component environment (fmol)');
LEGEND_STATES(:,3) = strpad('q_s00_TCC in component environment (fmol)');
LEGEND_STATES(:,4) = strpad('q_s10_TCC in component environment (fmol)');
LEGEND_STATES(:,5) = strpad('q_s01_TCC in component environment (fmol)');
LEGEND_STATES(:,6) = strpad('q_s11_TCC in component environment (fmol)');
LEGEND_CONSTANTS(:,2) = strpad('q_mem in component environment (fC)');
LEGEND_CONSTANTS(:,24) = strpad('V_mem in component environment (volt)');
LEGEND_CONSTANTS(:,3) = strpad('R in component environment (J_per_K_per_mol)');
LEGEND_CONSTANTS(:,4) = strpad('T in component environment (kelvin)');
LEGEND_CONSTANTS(:,5) = strpad('F in component environment (C_per_mol)');
LEGEND_ALGEBRAIC(:,19) = strpad('v_TCC in component TCC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,25) = strpad('I_mem_TCC in component TCC (fA)');
LEGEND_CONSTANTS(:,25) = strpad('I_stim in component environment (fA)');
LEGEND_CONSTANTS(:,6) = strpad('stimPeriod in component environment (second)');
LEGEND_CONSTANTS(:,7) = strpad('stimDuration in component environment (second)');
LEGEND_ALGEBRAIC(:,1) = strpad('tPeriod in component environment (second)');
LEGEND_CONSTANTS(:,8) = strpad('kappa_TCC in component TCC_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,9) = strpad('kappa_R1_TCC in component TCC_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,10) = strpad('kappa_R2_TCC in component TCC_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,11) = strpad('kappa_R3_TCC in component TCC_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,12) = strpad('kappa_R4_TCC in component TCC_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,13) = strpad('K_Ca_i in component TCC_parameters (per_fmol)');
LEGEND_CONSTANTS(:,14) = strpad('K_Ca_o in component TCC_parameters (per_fmol)');
LEGEND_CONSTANTS(:,15) = strpad('K_S00_TCC in component TCC_parameters (per_fmol)');
LEGEND_CONSTANTS(:,16) = strpad('K_S10_TCC in component TCC_parameters (per_fmol)');
LEGEND_CONSTANTS(:,17) = strpad('K_S01_TCC in component TCC_parameters (per_fmol)');
LEGEND_CONSTANTS(:,18) = strpad('K_S11_TCC in component TCC_parameters (per_fmol)');
LEGEND_CONSTANTS(:,19) = strpad('zCa in component TCC_parameters (dimensionless)');
LEGEND_CONSTANTS(:,20) = strpad('z_df in component TCC_parameters (dimensionless)');
LEGEND_CONSTANTS(:,21) = strpad('z_ff in component TCC_parameters (dimensionless)');
LEGEND_CONSTANTS(:,22) = strpad('z_dr in component TCC_parameters (dimensionless)');
LEGEND_CONSTANTS(:,23) = strpad('z_fr in component TCC_parameters (dimensionless)');
LEGEND_ALGEBRAIC(:,2) = strpad('u_Ca_i in component TCC (J_per_mol)');
LEGEND_ALGEBRAIC(:,3) = strpad('u_Ca_o in component TCC (J_per_mol)');
LEGEND_CONSTANTS(:,26) = strpad('V_mem in component TCC (J_per_C)');
LEGEND_CONSTANTS(:,27) = strpad('Am_TCC in component TCC (J_per_mol)');
LEGEND_ALGEBRAIC(:,17) = strpad('Af_Ca in component TCC (J_per_mol)');
LEGEND_ALGEBRAIC(:,18) = strpad('Ar_Ca in component TCC (J_per_mol)');
LEGEND_ALGEBRAIC(:,15) = strpad('v_s00_TCC in component TCC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,26) = strpad('v_s10_TCC in component TCC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,23) = strpad('v_s01_TCC in component TCC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,27) = strpad('v_s11_TCC in component TCC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,10) = strpad('v_R1_TCC in component TCC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,22) = strpad('v_R2_TCC in component TCC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,14) = strpad('v_R3_TCC in component TCC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,24) = strpad('v_R4_TCC in component TCC (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,4) = strpad('mu_s00_TCC in component TCC (J_per_mol)');
LEGEND_ALGEBRAIC(:,7) = strpad('mu_s10_TCC in component TCC (J_per_mol)');
LEGEND_ALGEBRAIC(:,11) = strpad('mu_s01_TCC in component TCC (J_per_mol)');
LEGEND_ALGEBRAIC(:,16) = strpad('mu_s11_TCC in component TCC (J_per_mol)');
LEGEND_ALGEBRAIC(:,5) = strpad('Af_R1_TCC in component TCC (J_per_mol)');
LEGEND_ALGEBRAIC(:,8) = strpad('Ar_R1_TCC in component TCC (J_per_mol)');
LEGEND_ALGEBRAIC(:,12) = strpad('Af_R2_TCC in component TCC (J_per_mol)');
LEGEND_ALGEBRAIC(:,20) = strpad('Ar_R2_TCC in component TCC (J_per_mol)');
LEGEND_ALGEBRAIC(:,6) = strpad('Af_R3_TCC in component TCC (J_per_mol)');
LEGEND_ALGEBRAIC(:,13) = strpad('Ar_R3_TCC in component TCC (J_per_mol)');
LEGEND_ALGEBRAIC(:,9) = strpad('Af_R4_TCC in component TCC (J_per_mol)');
LEGEND_ALGEBRAIC(:,21) = strpad('Ar_R4_TCC in component TCC (J_per_mol)');
LEGEND_RATES(:,2) = strpad('d/dt q_Ca_i in component environment (fmol)');
LEGEND_RATES(:,1) = strpad('d/dt q_Ca_o in component environment (fmol)');
LEGEND_RATES(:,3) = strpad('d/dt q_s00_TCC in component environment (fmol)');
LEGEND_RATES(:,4) = strpad('d/dt q_s10_TCC in component environment (fmol)');
LEGEND_RATES(:,5) = strpad('d/dt q_s01_TCC in component environment (fmol)');
LEGEND_RATES(:,6) = strpad('d/dt q_s11_TCC 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) = 153400;
STATES(:,1) = 9.3276;
STATES(:,2) = 0.00456;
STATES(:,3) = 3.653271338425772e-07;
STATES(:,4) = 1e-16;
STATES(:,5) = 1e-16;
STATES(:,6) = 1e-16;
CONSTANTS(:,2) = -13039;
CONSTANTS(:,3) = 8.31;
CONSTANTS(:,4) = 310;
CONSTANTS(:,5) = 96500;
CONSTANTS(:,6) = 1;
CONSTANTS(:,7) = 0.0001;
CONSTANTS(:,8) = 5746.42;
CONSTANTS(:,9) = 1266.14;
CONSTANTS(:,10) = 4.33488;
CONSTANTS(:,11) = 1.34962;
CONSTANTS(:,12) = 7.44777;
CONSTANTS(:,13) = 2.20364;
CONSTANTS(:,14) = 14.6286;
CONSTANTS(:,15) = 2.10659;
CONSTANTS(:,16) = 0.381738;
CONSTANTS(:,17) = 615.294;
CONSTANTS(:,18) = 111.498;
CONSTANTS(:,19) = 2;
CONSTANTS(:,20) = 0.876568910405296;
CONSTANTS(:,21) = -0.576510778245838;
CONSTANTS(:,22) = -0.872117216889333;
CONSTANTS(:,23) = 1.73582739545622;
[CONSTANTS, STATES, ALGEBRAIC] = rootfind_0(VOI, CONSTANTS, STATES, ALGEBRAIC);
CONSTANTS(:,25) = 0.00000;
CONSTANTS(:,26) = CONSTANTS(:,2)./CONSTANTS(:,1);
CONSTANTS(:,27) = CONSTANTS(:,19).*CONSTANTS(:,5).*CONSTANTS(:,26);
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(:,4) = CONSTANTS(:,3).*CONSTANTS(:,4).*log( CONSTANTS(:,15).*STATES(:,3));
ALGEBRAIC(:,5) = ALGEBRAIC(:,4)+ CONSTANTS(:,20).*CONSTANTS(:,5).*CONSTANTS(:,26);
ALGEBRAIC(:,7) = CONSTANTS(:,3).*CONSTANTS(:,4).*log( CONSTANTS(:,16).*STATES(:,4));
ALGEBRAIC(:,8) = ALGEBRAIC(:,7)+ CONSTANTS(:,22).*CONSTANTS(:,5).*CONSTANTS(:,26);
ALGEBRAIC(:,10) = CONSTANTS(:,9).*(exp(ALGEBRAIC(:,5)./( CONSTANTS(:,3).*CONSTANTS(:,4))) - exp(ALGEBRAIC(:,8)./( CONSTANTS(:,3).*CONSTANTS(:,4))));
ALGEBRAIC(:,6) = ALGEBRAIC(:,4)+ CONSTANTS(:,21).*CONSTANTS(:,5).*CONSTANTS(:,26);
ALGEBRAIC(:,11) = CONSTANTS(:,3).*CONSTANTS(:,4).*log( CONSTANTS(:,17).*STATES(:,5));
ALGEBRAIC(:,13) = ALGEBRAIC(:,11)+ CONSTANTS(:,23).*CONSTANTS(:,5).*CONSTANTS(:,26);
ALGEBRAIC(:,14) = CONSTANTS(:,11).*(exp(ALGEBRAIC(:,6)./( CONSTANTS(:,3).*CONSTANTS(:,4))) - exp(ALGEBRAIC(:,13)./( CONSTANTS(:,3).*CONSTANTS(:,4))));
ALGEBRAIC(:,15) = - ALGEBRAIC(:,10) - ALGEBRAIC(:,14);
RATES(:,3) = ALGEBRAIC(:,15);
ALGEBRAIC(:,2) = CONSTANTS(:,3).*CONSTANTS(:,4).*log( CONSTANTS(:,13).*STATES(:,2));
ALGEBRAIC(:,16) = CONSTANTS(:,3).*CONSTANTS(:,4).*log( CONSTANTS(:,18).*STATES(:,6));
ALGEBRAIC(:,17) = ALGEBRAIC(:,16)+ALGEBRAIC(:,2)+CONSTANTS(:,27);
ALGEBRAIC(:,3) = CONSTANTS(:,3).*CONSTANTS(:,4).*log( CONSTANTS(:,14).*STATES(:,1));
ALGEBRAIC(:,18) = ALGEBRAIC(:,16)+ALGEBRAIC(:,3);
ALGEBRAIC(:,19) = piecewise({CONSTANTS(:,27)==0.00000, CONSTANTS(:,8).*(exp(ALGEBRAIC(:,17)./( CONSTANTS(:,3).*CONSTANTS(:,4))) - exp(ALGEBRAIC(:,18)./( CONSTANTS(:,3).*CONSTANTS(:,4)))) }, ((( CONSTANTS(:,8).*CONSTANTS(:,27))./( CONSTANTS(:,3).*CONSTANTS(:,4)))./(exp(CONSTANTS(:,27)./( CONSTANTS(:,3).*CONSTANTS(:,4))) - 1.00000)).*(exp(ALGEBRAIC(:,17)./( CONSTANTS(:,3).*CONSTANTS(:,4))) - exp(ALGEBRAIC(:,18)./( CONSTANTS(:,3).*CONSTANTS(:,4)))));
RATES(:,2) = - ALGEBRAIC(:,19);
RATES(:,1) = ALGEBRAIC(:,19);
ALGEBRAIC(:,12) = ALGEBRAIC(:,11)+ CONSTANTS(:,20).*CONSTANTS(:,5).*CONSTANTS(:,26);
ALGEBRAIC(:,20) = ALGEBRAIC(:,16)+ CONSTANTS(:,22).*CONSTANTS(:,5).*CONSTANTS(:,26);
ALGEBRAIC(:,22) = CONSTANTS(:,10).*(exp(ALGEBRAIC(:,12)./( CONSTANTS(:,3).*CONSTANTS(:,4))) - exp(ALGEBRAIC(:,20)./( CONSTANTS(:,3).*CONSTANTS(:,4))));
ALGEBRAIC(:,23) = ALGEBRAIC(:,14) - ALGEBRAIC(:,22);
RATES(:,5) = ALGEBRAIC(:,23);
ALGEBRAIC(:,9) = ALGEBRAIC(:,7)+ CONSTANTS(:,21).*CONSTANTS(:,5).*CONSTANTS(:,26);
ALGEBRAIC(:,21) = ALGEBRAIC(:,16)+ CONSTANTS(:,23).*CONSTANTS(:,5).*CONSTANTS(:,26);
ALGEBRAIC(:,24) = CONSTANTS(:,12).*(exp(ALGEBRAIC(:,9)./( CONSTANTS(:,3).*CONSTANTS(:,4))) - exp(ALGEBRAIC(:,21)./( CONSTANTS(:,3).*CONSTANTS(:,4))));
ALGEBRAIC(:,26) = ALGEBRAIC(:,10) - ALGEBRAIC(:,24);
RATES(:,4) = ALGEBRAIC(:,26);
ALGEBRAIC(:,27) = ALGEBRAIC(:,22)+ALGEBRAIC(:,24);
RATES(:,6) = ALGEBRAIC(:,27);
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(:,4) = CONSTANTS(:,3).*CONSTANTS(:,4).*log( CONSTANTS(:,15).*STATES(:,3));
ALGEBRAIC(:,5) = ALGEBRAIC(:,4)+ CONSTANTS(:,20).*CONSTANTS(:,5).*CONSTANTS(:,26);
ALGEBRAIC(:,7) = CONSTANTS(:,3).*CONSTANTS(:,4).*log( CONSTANTS(:,16).*STATES(:,4));
ALGEBRAIC(:,8) = ALGEBRAIC(:,7)+ CONSTANTS(:,22).*CONSTANTS(:,5).*CONSTANTS(:,26);
ALGEBRAIC(:,10) = CONSTANTS(:,9).*(exp(ALGEBRAIC(:,5)./( CONSTANTS(:,3).*CONSTANTS(:,4))) - exp(ALGEBRAIC(:,8)./( CONSTANTS(:,3).*CONSTANTS(:,4))));
ALGEBRAIC(:,6) = ALGEBRAIC(:,4)+ CONSTANTS(:,21).*CONSTANTS(:,5).*CONSTANTS(:,26);
ALGEBRAIC(:,11) = CONSTANTS(:,3).*CONSTANTS(:,4).*log( CONSTANTS(:,17).*STATES(:,5));
ALGEBRAIC(:,13) = ALGEBRAIC(:,11)+ CONSTANTS(:,23).*CONSTANTS(:,5).*CONSTANTS(:,26);
ALGEBRAIC(:,14) = CONSTANTS(:,11).*(exp(ALGEBRAIC(:,6)./( CONSTANTS(:,3).*CONSTANTS(:,4))) - exp(ALGEBRAIC(:,13)./( CONSTANTS(:,3).*CONSTANTS(:,4))));
ALGEBRAIC(:,15) = - ALGEBRAIC(:,10) - ALGEBRAIC(:,14);
ALGEBRAIC(:,2) = CONSTANTS(:,3).*CONSTANTS(:,4).*log( CONSTANTS(:,13).*STATES(:,2));
ALGEBRAIC(:,16) = CONSTANTS(:,3).*CONSTANTS(:,4).*log( CONSTANTS(:,18).*STATES(:,6));
ALGEBRAIC(:,17) = ALGEBRAIC(:,16)+ALGEBRAIC(:,2)+CONSTANTS(:,27);
ALGEBRAIC(:,3) = CONSTANTS(:,3).*CONSTANTS(:,4).*log( CONSTANTS(:,14).*STATES(:,1));
ALGEBRAIC(:,18) = ALGEBRAIC(:,16)+ALGEBRAIC(:,3);
ALGEBRAIC(:,19) = piecewise({CONSTANTS(:,27)==0.00000, CONSTANTS(:,8).*(exp(ALGEBRAIC(:,17)./( CONSTANTS(:,3).*CONSTANTS(:,4))) - exp(ALGEBRAIC(:,18)./( CONSTANTS(:,3).*CONSTANTS(:,4)))) }, ((( CONSTANTS(:,8).*CONSTANTS(:,27))./( CONSTANTS(:,3).*CONSTANTS(:,4)))./(exp(CONSTANTS(:,27)./( CONSTANTS(:,3).*CONSTANTS(:,4))) - 1.00000)).*(exp(ALGEBRAIC(:,17)./( CONSTANTS(:,3).*CONSTANTS(:,4))) - exp(ALGEBRAIC(:,18)./( CONSTANTS(:,3).*CONSTANTS(:,4)))));
ALGEBRAIC(:,12) = ALGEBRAIC(:,11)+ CONSTANTS(:,20).*CONSTANTS(:,5).*CONSTANTS(:,26);
ALGEBRAIC(:,20) = ALGEBRAIC(:,16)+ CONSTANTS(:,22).*CONSTANTS(:,5).*CONSTANTS(:,26);
ALGEBRAIC(:,22) = CONSTANTS(:,10).*(exp(ALGEBRAIC(:,12)./( CONSTANTS(:,3).*CONSTANTS(:,4))) - exp(ALGEBRAIC(:,20)./( CONSTANTS(:,3).*CONSTANTS(:,4))));
ALGEBRAIC(:,23) = ALGEBRAIC(:,14) - ALGEBRAIC(:,22);
ALGEBRAIC(:,9) = ALGEBRAIC(:,7)+ CONSTANTS(:,21).*CONSTANTS(:,5).*CONSTANTS(:,26);
ALGEBRAIC(:,21) = ALGEBRAIC(:,16)+ CONSTANTS(:,23).*CONSTANTS(:,5).*CONSTANTS(:,26);
ALGEBRAIC(:,24) = CONSTANTS(:,12).*(exp(ALGEBRAIC(:,9)./( CONSTANTS(:,3).*CONSTANTS(:,4))) - exp(ALGEBRAIC(:,21)./( CONSTANTS(:,3).*CONSTANTS(:,4))));
ALGEBRAIC(:,26) = ALGEBRAIC(:,10) - ALGEBRAIC(:,24);
ALGEBRAIC(:,27) = ALGEBRAIC(:,22)+ALGEBRAIC(:,24);
ALGEBRAIC(:,1) = VOI - floor(VOI./CONSTANTS(:,6)).*CONSTANTS(:,6);
ALGEBRAIC(:,25) = CONSTANTS(:,5).*( - CONSTANTS(:,19).*ALGEBRAIC(:,19)+ ALGEBRAIC(:,10).*(CONSTANTS(:,22) - CONSTANTS(:,20))+ ALGEBRAIC(:,22).*(CONSTANTS(:,22) - CONSTANTS(:,20))+ ALGEBRAIC(:,14).*(CONSTANTS(:,23) - CONSTANTS(:,21))+ ALGEBRAIC(:,24).*(CONSTANTS(:,23) - CONSTANTS(:,21)));
end
% Functions required for solving differential algebraic equation
function [CONSTANTS, STATES, ALGEBRAIC] = rootfind_0(VOI, CONSTANTS_IN, STATES_IN, ALGEBRAIC_IN)
CONSTANTS = CONSTANTS_IN;
STATES = STATES_IN;
ALGEBRAIC = ALGEBRAIC_IN;
global initialGuess_0;
if (length(initialGuess_0) ~= 1), initialGuess_0 = 0.1;, end
options = optimset('Display', 'off', 'TolX', 1E-6);
if length(VOI) == 1
residualfn = @(algebraicCandidate)residualSN_0(algebraicCandidate, ALGEBRAIC, VOI, CONSTANTS, STATES);
CONSTANTS(:,24) = fsolve(residualfn, initialGuess_0, options);
initialGuess_0 = CONSTANTS(:,24);
else
SET_CONSTANTS(:,24) = logical(1);
for i=1:length(VOI)
residualfn = @(algebraicCandidate)residualSN_0(algebraicCandidate, ALGEBRAIC(i,:), VOI(i), CONSTANTS, STATES(i,:));
TEMP_CONSTANTS(:,24) = fsolve(residualfn, initialGuess_0, options);
ALGEBRAIC(i,SET_ALGEBRAIC) = TEMP_ALGEBRAIC(SET_ALGEBRAIC);
initialGuess_0 = TEMP_CONSTANTS(:,24);
end
end
end
function resid = residualSN_0(algebraicCandidate, ALGEBRAIC, VOI, CONSTANTS, STATES)
CONSTANTS(:,24) = algebraicCandidate;
resid = (CONSTANTS(:,2)) - ( CONSTANTS(:,24).*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