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 =22;
end
% There are a total of 10 entries in each of the rate and state variable arrays.
% There are a total of 43 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('R_mt in component heart_parameters (kPa_second_per_mL)');
LEGEND_CONSTANTS(:,2) = strpad('R_av in component heart_parameters (kPa_second_per_mL)');
LEGEND_CONSTANTS(:,3) = strpad('R_tc in component heart_parameters (kPa_second_per_mL)');
LEGEND_CONSTANTS(:,4) = strpad('R_pv in component heart_parameters (kPa_second_per_mL)');
LEGEND_CONSTANTS(:,5) = strpad('R_pul in component heart_parameters (kPa_second_per_mL)');
LEGEND_CONSTANTS(:,6) = strpad('R_sys in component heart_parameters (kPa_second_per_mL)');
LEGEND_CONSTANTS(:,7) = strpad('L_tc in component heart_parameters (kPa_second2_per_mL)');
LEGEND_CONSTANTS(:,8) = strpad('L_pv in component heart_parameters (kPa_second2_per_mL)');
LEGEND_CONSTANTS(:,9) = strpad('L_mt in component heart_parameters (kPa_second2_per_mL)');
LEGEND_CONSTANTS(:,10) = strpad('L_av in component heart_parameters (kPa_second2_per_mL)');
LEGEND_CONSTANTS(:,11) = strpad('V_tot in component heart_parameters (mL)');
LEGEND_CONSTANTS(:,12) = strpad('P_th in component heart_parameters (kPa)');
LEGEND_ALGEBRAIC(:,2) = strpad('e_t in component driver_function (dimensionless)');
LEGEND_CONSTANTS(:,13) = strpad('A in component driver_function (dimensionless)');
LEGEND_CONSTANTS(:,14) = strpad('B in component driver_function (per_second2)');
LEGEND_CONSTANTS(:,15) = strpad('C in component driver_function (second)');
LEGEND_ALGEBRAIC(:,1) = strpad('tau in component driver_function (second)');
LEGEND_CONSTANTS(:,16) = strpad('period in component driver_function (second)');
LEGEND_ALGEBRAIC(:,3) = strpad('V_pcd in component pericardium (mL)');
LEGEND_ALGEBRAIC(:,4) = strpad('P_pcd in component pericardium (kPa)');
LEGEND_ALGEBRAIC(:,5) = strpad('P_peri in component pericardium (kPa)');
LEGEND_STATES(:,1) = strpad('V_lv in component left_ventricle (mL)');
LEGEND_STATES(:,2) = strpad('V_rv in component right_ventricle (mL)');
LEGEND_CONSTANTS(:,17) = strpad('P_0_pcd in component pericardium (kPa)');
LEGEND_CONSTANTS(:,18) = strpad('V_0_pcd in component pericardium (mL)');
LEGEND_CONSTANTS(:,19) = strpad('lambda_pcd in component pericardium (per_mL)');
LEGEND_ALGEBRAIC(:,7) = strpad('V_lvf in component left_ventricle (mL)');
LEGEND_ALGEBRAIC(:,10) = strpad('P_lvf in component left_ventricle (kPa)');
LEGEND_ALGEBRAIC(:,11) = strpad('P_lv in component left_ventricle (kPa)');
LEGEND_ALGEBRAIC(:,6) = strpad('V_spt in component septum (mL)');
LEGEND_ALGEBRAIC(:,8) = strpad('P_es_lvf in component lvf_calculator (kPa)');
LEGEND_ALGEBRAIC(:,9) = strpad('P_ed_lvf in component lvf_calculator (kPa)');
LEGEND_ALGEBRAIC(:,19) = strpad('P_pu in component pulmonary_vein (kPa)');
LEGEND_ALGEBRAIC(:,18) = strpad('P_ao in component aorta (kPa)');
LEGEND_CONSTANTS(:,20) = strpad('E_es_lvf in component lvf_calculator (kPa_per_mL)');
LEGEND_CONSTANTS(:,21) = strpad('lambda_lvf in component lvf_calculator (per_mL)');
LEGEND_CONSTANTS(:,22) = strpad('P_0_lvf in component lvf_calculator (kPa)');
LEGEND_STATES(:,3) = strpad('Q_mt in component flow (mL_per_second)');
LEGEND_STATES(:,4) = strpad('Q_av in component flow (mL_per_second)');
LEGEND_CONSTANTS(:,23) = strpad('V_d_lvf in component lvf_calculator (mL)');
LEGEND_CONSTANTS(:,24) = strpad('V_0_lvf in component lvf_calculator (mL)');
LEGEND_ALGEBRAIC(:,12) = strpad('V_rvf in component right_ventricle (mL)');
LEGEND_ALGEBRAIC(:,15) = strpad('P_rvf in component right_ventricle (kPa)');
LEGEND_ALGEBRAIC(:,16) = strpad('P_rv in component right_ventricle (kPa)');
LEGEND_ALGEBRAIC(:,13) = strpad('P_es_rvf in component rvf_calculator (kPa)');
LEGEND_ALGEBRAIC(:,14) = strpad('P_ed_rvf in component rvf_calculator (kPa)');
LEGEND_ALGEBRAIC(:,17) = strpad('P_pa in component pulmonary_artery (kPa)');
LEGEND_ALGEBRAIC(:,20) = strpad('P_vc in component vena_cava (kPa)');
LEGEND_CONSTANTS(:,25) = strpad('E_es_rvf in component rvf_calculator (kPa_per_mL)');
LEGEND_CONSTANTS(:,26) = strpad('lambda_rvf in component rvf_calculator (per_mL)');
LEGEND_CONSTANTS(:,27) = strpad('P_0_rvf in component rvf_calculator (kPa)');
LEGEND_STATES(:,5) = strpad('Q_tc in component flow (mL_per_second)');
LEGEND_STATES(:,6) = strpad('Q_pv in component flow (mL_per_second)');
LEGEND_CONSTANTS(:,28) = strpad('V_d_rvf in component rvf_calculator (mL)');
LEGEND_CONSTANTS(:,29) = strpad('V_0_rvf in component rvf_calculator (mL)');
LEGEND_CONSTANTS(:,30) = strpad('E_es_spt in component septum (kPa_per_mL)');
LEGEND_CONSTANTS(:,31) = strpad('V_d_spt in component septum (mL)');
LEGEND_CONSTANTS(:,32) = strpad('P_0_spt in component septum (kPa)');
LEGEND_CONSTANTS(:,33) = strpad('lambda_spt in component septum (per_mL)');
LEGEND_CONSTANTS(:,34) = strpad('V_0_spt in component septum (mL)');
LEGEND_CONSTANTS(:,35) = strpad('one in component septum (dimensionless)');
LEGEND_CONSTANTS(:,36) = strpad('E_es_pa in component pulmonary_artery (kPa_per_mL)');
LEGEND_STATES(:,7) = strpad('V_pa in component pulmonary_artery (mL)');
LEGEND_CONSTANTS(:,37) = strpad('V_d_pa in component pulmonary_artery (mL)');
LEGEND_ALGEBRAIC(:,21) = strpad('Q_pul in component flow (mL_per_second)');
LEGEND_CONSTANTS(:,38) = strpad('E_es_pu in component pulmonary_vein (kPa_per_mL)');
LEGEND_STATES(:,8) = strpad('V_pu in component pulmonary_vein (mL)');
LEGEND_CONSTANTS(:,39) = strpad('V_d_pu in component pulmonary_vein (mL)');
LEGEND_CONSTANTS(:,40) = strpad('E_es_ao in component aorta (kPa_per_mL)');
LEGEND_STATES(:,9) = strpad('V_ao in component aorta (mL)');
LEGEND_CONSTANTS(:,41) = strpad('V_d_ao in component aorta (mL)');
LEGEND_ALGEBRAIC(:,22) = strpad('Q_sys in component flow (mL_per_second)');
LEGEND_CONSTANTS(:,42) = strpad('E_es_vc in component vena_cava (kPa_per_mL)');
LEGEND_STATES(:,10) = strpad('V_vc in component vena_cava (mL)');
LEGEND_CONSTANTS(:,43) = strpad('V_d_vc in component vena_cava (mL)');
LEGEND_RATES(:,1) = strpad('d/dt V_lv in component left_ventricle (mL)');
LEGEND_RATES(:,2) = strpad('d/dt V_rv in component right_ventricle (mL)');
LEGEND_RATES(:,7) = strpad('d/dt V_pa in component pulmonary_artery (mL)');
LEGEND_RATES(:,8) = strpad('d/dt V_pu in component pulmonary_vein (mL)');
LEGEND_RATES(:,9) = strpad('d/dt V_ao in component aorta (mL)');
LEGEND_RATES(:,10) = strpad('d/dt V_vc in component vena_cava (mL)');
LEGEND_RATES(:,3) = strpad('d/dt Q_mt in component flow (mL_per_second)');
LEGEND_RATES(:,4) = strpad('d/dt Q_av in component flow (mL_per_second)');
LEGEND_RATES(:,5) = strpad('d/dt Q_tc in component flow (mL_per_second)');
LEGEND_RATES(:,6) = strpad('d/dt Q_pv in component flow (mL_per_second)');
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) = 0.0158;
CONSTANTS(:,2) = 0.0180;
CONSTANTS(:,3) = 0.0237;
CONSTANTS(:,4) = 0.0055;
CONSTANTS(:,5) = 0.1552;
CONSTANTS(:,6) = 1.0889;
CONSTANTS(:,7) = 8.0093e-5;
CONSTANTS(:,8) = 1.4868e-4;
CONSTANTS(:,9) = 7.6968e-5;
CONSTANTS(:,10) = 1.2189e-4;
CONSTANTS(:,11) = 5.5;
CONSTANTS(:,12) = -4;
CONSTANTS(:,13) = 1;
CONSTANTS(:,14) = 80;
CONSTANTS(:,15) = 0.375;
CONSTANTS(:,16) = 0.75;
STATES(:,1) = 94.6812;
STATES(:,2) = 90.7302;
CONSTANTS(:,17) = 0.5003;
CONSTANTS(:,18) = 200;
CONSTANTS(:,19) = 0.03;
CONSTANTS(:,20) = 2.8798;
CONSTANTS(:,21) = 0.033;
CONSTANTS(:,22) = 0.1203;
STATES(:,3) = 245.5813;
STATES(:,4) = 0;
CONSTANTS(:,23) = 0;
CONSTANTS(:,24) = 0;
CONSTANTS(:,25) = 0.585;
CONSTANTS(:,26) = 0.023;
CONSTANTS(:,27) = 0.2157;
STATES(:,5) = 190.0661;
STATES(:,6) = 0;
CONSTANTS(:,28) = 0;
CONSTANTS(:,29) = 0;
CONSTANTS(:,30) = 48.754;
CONSTANTS(:,31) = 2;
CONSTANTS(:,32) = 1.1101;
CONSTANTS(:,33) = 0.435;
CONSTANTS(:,34) = 2;
CONSTANTS(:,35) = 1;
CONSTANTS(:,36) = 0.369;
STATES(:,7) = 43.0123;
CONSTANTS(:,37) = 0;
CONSTANTS(:,38) = 0.0073;
STATES(:,8) = 808.4579;
CONSTANTS(:,39) = 0;
CONSTANTS(:,40) = 0.6913;
STATES(:,9) = 133.3381;
CONSTANTS(:,41) = 0;
CONSTANTS(:,42) = 0.0059;
STATES(:,10) = 329.7803;
CONSTANTS(:,43) = 0;
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) = piecewise({STATES(:,3)<0.00000&STATES(:,4)<0.00000, 0.00000 , STATES(:,3)<0.00000, - STATES(:,4) , STATES(:,4)<0.00000, STATES(:,3) }, STATES(:,3) - STATES(:,4));
RATES(:,2) = piecewise({STATES(:,5)<0.00000&STATES(:,6)<0.00000, 0.00000 , STATES(:,5)<0.00000, - STATES(:,6) , STATES(:,6)<0.00000, STATES(:,5) }, STATES(:,5) - STATES(:,6));
ALGEBRAIC(:,3) = STATES(:,1)+STATES(:,2);
ALGEBRAIC(:,4) = CONSTANTS(:,17).*(exp( CONSTANTS(:,19).*(ALGEBRAIC(:,3) - CONSTANTS(:,18))) - 1.00000);
ALGEBRAIC(:,5) = ALGEBRAIC(:,4)+CONSTANTS(:,12);
ALGEBRAIC(:,1) = piecewise({VOI<=CONSTANTS(:,16), VOI , VOI<= CONSTANTS(:,16).*2.00000, VOI - CONSTANTS(:,16) , VOI<= CONSTANTS(:,16).*3.00000, VOI - CONSTANTS(:,16).*2.00000 , VOI<= CONSTANTS(:,16).*4.00000, VOI - CONSTANTS(:,16).*3.00000 , VOI<= CONSTANTS(:,16).*5.00000, VOI - CONSTANTS(:,16).*4.00000 , VOI<= CONSTANTS(:,16).*6.00000, VOI - CONSTANTS(:,16).*5.00000 , VOI<= CONSTANTS(:,16).*7.00000, VOI - CONSTANTS(:,16).*6.00000 , VOI<= CONSTANTS(:,16).*8.00000, VOI - CONSTANTS(:,16).*7.00000 , VOI<= CONSTANTS(:,16).*9.00000, VOI - CONSTANTS(:,16).*8.00000 , VOI<= CONSTANTS(:,16).*10.0000, VOI - CONSTANTS(:,16).*9.00000 , VOI<= CONSTANTS(:,16).*11.0000, VOI - CONSTANTS(:,16).*10.0000 , VOI<= CONSTANTS(:,16).*12.0000, VOI - CONSTANTS(:,16).*11.0000 , VOI<= CONSTANTS(:,16).*13.0000, VOI - CONSTANTS(:,16).*12.0000 }, NaN);
ALGEBRAIC(:,2) = CONSTANTS(:,13).*exp( - CONSTANTS(:,14).*power(ALGEBRAIC(:,1) - CONSTANTS(:,15), 2.00000));
[CONSTANTS, STATES, ALGEBRAIC] = rootfind_0(VOI, CONSTANTS, STATES, ALGEBRAIC);
ALGEBRAIC(:,7) = STATES(:,1) - ALGEBRAIC(:,6);
ALGEBRAIC(:,8) = CONSTANTS(:,20).*(ALGEBRAIC(:,7) - CONSTANTS(:,23));
ALGEBRAIC(:,9) = CONSTANTS(:,22).*(exp( CONSTANTS(:,21).*(ALGEBRAIC(:,7) - CONSTANTS(:,24))) - 1.00000);
ALGEBRAIC(:,10) = ALGEBRAIC(:,2).*ALGEBRAIC(:,8)+ (1.00000 - ALGEBRAIC(:,2)).*ALGEBRAIC(:,9);
ALGEBRAIC(:,11) = ALGEBRAIC(:,10)+ALGEBRAIC(:,5);
ALGEBRAIC(:,18) = CONSTANTS(:,40).*(STATES(:,9) - CONSTANTS(:,41));
RATES(:,4) = piecewise({ALGEBRAIC(:,11) - ALGEBRAIC(:,18)<0.00000&STATES(:,4)<0.00000, 0.00000 }, ((ALGEBRAIC(:,11) - ALGEBRAIC(:,18)) - STATES(:,4).*CONSTANTS(:,2))./CONSTANTS(:,10));
ALGEBRAIC(:,12) = STATES(:,2)+ALGEBRAIC(:,6);
ALGEBRAIC(:,13) = CONSTANTS(:,25).*(ALGEBRAIC(:,12) - CONSTANTS(:,28));
ALGEBRAIC(:,14) = CONSTANTS(:,27).*(exp( CONSTANTS(:,26).*(ALGEBRAIC(:,12) - CONSTANTS(:,29))) - 1.00000);
ALGEBRAIC(:,15) = ALGEBRAIC(:,2).*ALGEBRAIC(:,13)+ (1.00000 - ALGEBRAIC(:,2)).*ALGEBRAIC(:,14);
ALGEBRAIC(:,16) = ALGEBRAIC(:,15)+ALGEBRAIC(:,5);
ALGEBRAIC(:,17) = CONSTANTS(:,36).*(STATES(:,7) - CONSTANTS(:,37))+CONSTANTS(:,12);
RATES(:,6) = piecewise({ALGEBRAIC(:,16) - ALGEBRAIC(:,17)<0.00000&STATES(:,6)<0.00000, 0.00000 }, ((ALGEBRAIC(:,16) - ALGEBRAIC(:,17)) - STATES(:,6).*CONSTANTS(:,4))./CONSTANTS(:,8));
ALGEBRAIC(:,19) = CONSTANTS(:,38).*(STATES(:,8) - CONSTANTS(:,39))+CONSTANTS(:,12);
RATES(:,3) = piecewise({ALGEBRAIC(:,19) - ALGEBRAIC(:,11)<0.00000&STATES(:,3)<0.00000, 0.00000 }, ((ALGEBRAIC(:,19) - ALGEBRAIC(:,11)) - STATES(:,3).*CONSTANTS(:,1))./CONSTANTS(:,9));
ALGEBRAIC(:,20) = CONSTANTS(:,42).*(STATES(:,10) - CONSTANTS(:,43));
RATES(:,5) = piecewise({ALGEBRAIC(:,20) - ALGEBRAIC(:,16)<0.00000&STATES(:,5)<0.00000, 0.00000 }, ((ALGEBRAIC(:,20) - ALGEBRAIC(:,16)) - STATES(:,5).*CONSTANTS(:,3))./CONSTANTS(:,7));
ALGEBRAIC(:,21) = (ALGEBRAIC(:,17) - ALGEBRAIC(:,19))./CONSTANTS(:,5);
RATES(:,7) = piecewise({STATES(:,6)<0.00000, - ALGEBRAIC(:,21) }, STATES(:,6) - ALGEBRAIC(:,21));
RATES(:,8) = piecewise({STATES(:,3)<0.00000, ALGEBRAIC(:,21) }, ALGEBRAIC(:,21) - STATES(:,3));
ALGEBRAIC(:,22) = (ALGEBRAIC(:,18) - ALGEBRAIC(:,20))./CONSTANTS(:,6);
RATES(:,9) = piecewise({STATES(:,4)<0.00000, - ALGEBRAIC(:,22) }, STATES(:,4) - ALGEBRAIC(:,22));
RATES(:,10) = piecewise({STATES(:,5)<0.00000, ALGEBRAIC(:,22) }, ALGEBRAIC(:,22) - STATES(:,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(:,3) = STATES(:,1)+STATES(:,2);
ALGEBRAIC(:,4) = CONSTANTS(:,17).*(exp( CONSTANTS(:,19).*(ALGEBRAIC(:,3) - CONSTANTS(:,18))) - 1.00000);
ALGEBRAIC(:,5) = ALGEBRAIC(:,4)+CONSTANTS(:,12);
ALGEBRAIC(:,1) = piecewise({VOI<=CONSTANTS(:,16), VOI , VOI<= CONSTANTS(:,16).*2.00000, VOI - CONSTANTS(:,16) , VOI<= CONSTANTS(:,16).*3.00000, VOI - CONSTANTS(:,16).*2.00000 , VOI<= CONSTANTS(:,16).*4.00000, VOI - CONSTANTS(:,16).*3.00000 , VOI<= CONSTANTS(:,16).*5.00000, VOI - CONSTANTS(:,16).*4.00000 , VOI<= CONSTANTS(:,16).*6.00000, VOI - CONSTANTS(:,16).*5.00000 , VOI<= CONSTANTS(:,16).*7.00000, VOI - CONSTANTS(:,16).*6.00000 , VOI<= CONSTANTS(:,16).*8.00000, VOI - CONSTANTS(:,16).*7.00000 , VOI<= CONSTANTS(:,16).*9.00000, VOI - CONSTANTS(:,16).*8.00000 , VOI<= CONSTANTS(:,16).*10.0000, VOI - CONSTANTS(:,16).*9.00000 , VOI<= CONSTANTS(:,16).*11.0000, VOI - CONSTANTS(:,16).*10.0000 , VOI<= CONSTANTS(:,16).*12.0000, VOI - CONSTANTS(:,16).*11.0000 , VOI<= CONSTANTS(:,16).*13.0000, VOI - CONSTANTS(:,16).*12.0000 }, NaN);
ALGEBRAIC(:,2) = CONSTANTS(:,13).*exp( - CONSTANTS(:,14).*power(ALGEBRAIC(:,1) - CONSTANTS(:,15), 2.00000));
ALGEBRAIC(:,7) = STATES(:,1) - ALGEBRAIC(:,6);
ALGEBRAIC(:,8) = CONSTANTS(:,20).*(ALGEBRAIC(:,7) - CONSTANTS(:,23));
ALGEBRAIC(:,9) = CONSTANTS(:,22).*(exp( CONSTANTS(:,21).*(ALGEBRAIC(:,7) - CONSTANTS(:,24))) - 1.00000);
ALGEBRAIC(:,10) = ALGEBRAIC(:,2).*ALGEBRAIC(:,8)+ (1.00000 - ALGEBRAIC(:,2)).*ALGEBRAIC(:,9);
ALGEBRAIC(:,11) = ALGEBRAIC(:,10)+ALGEBRAIC(:,5);
ALGEBRAIC(:,18) = CONSTANTS(:,40).*(STATES(:,9) - CONSTANTS(:,41));
ALGEBRAIC(:,12) = STATES(:,2)+ALGEBRAIC(:,6);
ALGEBRAIC(:,13) = CONSTANTS(:,25).*(ALGEBRAIC(:,12) - CONSTANTS(:,28));
ALGEBRAIC(:,14) = CONSTANTS(:,27).*(exp( CONSTANTS(:,26).*(ALGEBRAIC(:,12) - CONSTANTS(:,29))) - 1.00000);
ALGEBRAIC(:,15) = ALGEBRAIC(:,2).*ALGEBRAIC(:,13)+ (1.00000 - ALGEBRAIC(:,2)).*ALGEBRAIC(:,14);
ALGEBRAIC(:,16) = ALGEBRAIC(:,15)+ALGEBRAIC(:,5);
ALGEBRAIC(:,17) = CONSTANTS(:,36).*(STATES(:,7) - CONSTANTS(:,37))+CONSTANTS(:,12);
ALGEBRAIC(:,19) = CONSTANTS(:,38).*(STATES(:,8) - CONSTANTS(:,39))+CONSTANTS(:,12);
ALGEBRAIC(:,20) = CONSTANTS(:,42).*(STATES(:,10) - CONSTANTS(:,43));
ALGEBRAIC(:,21) = (ALGEBRAIC(:,17) - ALGEBRAIC(:,19))./CONSTANTS(:,5);
ALGEBRAIC(:,22) = (ALGEBRAIC(:,18) - ALGEBRAIC(:,20))./CONSTANTS(:,6);
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);
ALGEBRAIC(:,6) = fsolve(residualfn, initialGuess_0, options);
initialGuess_0 = ALGEBRAIC(:,6);
else
SET_ALGEBRAIC(:,6) = logical(1);
for i=1:length(VOI)
residualfn = @(algebraicCandidate)residualSN_0(algebraicCandidate, ALGEBRAIC(i,:), VOI(i), CONSTANTS, STATES(i,:));
TEMP_ALGEBRAIC(:,6) = fsolve(residualfn, initialGuess_0, options);
ALGEBRAIC(i,SET_ALGEBRAIC) = TEMP_ALGEBRAIC(SET_ALGEBRAIC);
initialGuess_0 = TEMP_ALGEBRAIC(:,6);
end
end
end
function resid = residualSN_0(algebraicCandidate, ALGEBRAIC, VOI, CONSTANTS, STATES)
ALGEBRAIC(:,6) = algebraicCandidate;
resid = (0.00000) - (((( ALGEBRAIC(:,2).*CONSTANTS(:,30).*(ALGEBRAIC(:,6) - CONSTANTS(:,31))+ (CONSTANTS(:,35) - ALGEBRAIC(:,2)).*CONSTANTS(:,32).*(exp( CONSTANTS(:,33).*(ALGEBRAIC(:,6) - CONSTANTS(:,34))) - CONSTANTS(:,35))) - ALGEBRAIC(:,2).*CONSTANTS(:,20).*(STATES(:,1) - ALGEBRAIC(:,6))) - (1.00000 - ALGEBRAIC(:,2)).*CONSTANTS(:,22).*(exp( CONSTANTS(:,21).*(STATES(:,1) - ALGEBRAIC(:,6))) - 1.00000))+ ALGEBRAIC(:,2).*CONSTANTS(:,25).*(STATES(:,2)+ALGEBRAIC(:,6))+ (1.00000 - ALGEBRAIC(:,2)).*CONSTANTS(:,27).*(exp( CONSTANTS(:,26).*(STATES(:,2)+ALGEBRAIC(:,6))) - 1.00000));
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