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 =53;
end
% There are a total of 7 entries in each of the rate and state variable arrays.
% There are a total of 114 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 (day)');
LEGEND_STATES(:,1) = strpad('OBp in component OBp (pM)');
LEGEND_CONSTANTS(:,1) = strpad('OBp_t0 in component OBp (pM)');
LEGEND_ALGEBRAIC(:,50) = strpad('OBp_in in component OBp (flux)');
LEGEND_ALGEBRAIC(:,10) = strpad('OBp_out in component OBp (flux)');
LEGEND_CONSTANTS(:,2) = strpad('OBu_t0 in component model_parameters (pM)');
LEGEND_CONSTANTS(:,78) = strpad('DifferOBpNormal in component OBp (first_order_rate_constant)');
LEGEND_CONSTANTS(:,3) = strpad('D_OBp_t0 in component model_parameters (first_order_rate_constant)');
LEGEND_CONSTANTS(:,4) = strpad('TGFbNormal in component OBp (pM)');
LEGEND_CONSTANTS(:,5) = strpad('KD_TGF_beta_repress in component model_parameters (pM)');
LEGEND_CONSTANTS(:,82) = strpad('ProlifOBpNormal in component OBp (first_order_rate_constant)');
LEGEND_CONSTANTS(:,6) = strpad('frac_prolifOBp_vs_differOBu in component OBp (dimensionless)');
LEGEND_CONSTANTS(:,7) = strpad('OBpNormal in component OBp (pM)');
LEGEND_CONSTANTS(:,8) = strpad('OBp_sat in component OBp (pM)');
LEGEND_CONSTANTS(:,87) = strpad('DifferOBu in component OBp (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,2) = strpad('ProlifOBp in component OBp (first_order_rate_constant)');
LEGEND_CONSTANTS(:,9) = strpad('D_OBu_t0 in component model_parameters (first_order_rate_constant)');
LEGEND_CONSTANTS(:,10) = strpad('pd_OBp_t0 in component model_parameters (flux)');
LEGEND_CONSTANTS(:,83) = strpad('Pi_TGFbeta_OBu_act_t0 in component TGF_beta (dimensionless)');
LEGEND_ALGEBRAIC(:,9) = strpad('Pi_TGFbeta_OBp_rep in component TGF_beta (dimensionless)');
LEGEND_ALGEBRAIC(:,47) = strpad('Pi_WNT in component Wnt (dimensionless)');
LEGEND_CONSTANTS(:,113) = strpad('Pi_WNT_0 in component Wnt (dimensionless)');
LEGEND_STATES(:,2) = strpad('OBa in component OBa (pM)');
LEGEND_ALGEBRAIC(:,11) = strpad('OBa_in in component OBa (flux)');
LEGEND_ALGEBRAIC(:,3) = strpad('OBa_out in component OBa (flux)');
LEGEND_CONSTANTS(:,11) = strpad('pd_OBa_t0 in component model_parameters (flux)');
LEGEND_CONSTANTS(:,12) = strpad('D_OBa_t0 in component model_parameters (first_order_rate_constant)');
LEGEND_CONSTANTS(:,13) = strpad('A_OBa_t0 in component model_parameters (first_order_rate_constant)');
LEGEND_STATES(:,3) = strpad('OCp in component OCp (pM)');
LEGEND_ALGEBRAIC(:,53) = strpad('OCp_in in component OCp (flux)');
LEGEND_ALGEBRAIC(:,48) = strpad('OCp_out in component OCp (flux)');
LEGEND_CONSTANTS(:,14) = strpad('OCu_t0 in component model_parameters (pM)');
LEGEND_ALGEBRAIC(:,45) = strpad('Pi_RANKL_act_OCp in component RANK_RANKL_OPG (dimensionless)');
LEGEND_ALGEBRAIC(:,51) = strpad('Pi_RANKL_act_OCu in component RANK_RANKL_OPG (dimensionless)');
LEGEND_CONSTANTS(:,15) = strpad('D_OCu_t0 in component model_parameters (first_order_rate_constant)');
LEGEND_CONSTANTS(:,16) = strpad('pd_OCp_t0 in component model_parameters (flux)');
LEGEND_CONSTANTS(:,17) = strpad('D_OCp_t0 in component model_parameters (first_order_rate_constant)');
LEGEND_STATES(:,4) = strpad('OCa in component OCa (pM)');
LEGEND_ALGEBRAIC(:,52) = strpad('OCa_in in component OCa (flux)');
LEGEND_ALGEBRAIC(:,8) = strpad('OCa_out in component OCa (flux)');
LEGEND_CONSTANTS(:,18) = strpad('pd_OCa_t0 in component model_parameters (flux)');
LEGEND_CONSTANTS(:,19) = strpad('A_OCa_t0 in component model_parameters (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,6) = strpad('Pi_TGFbeta_OCa_act in component TGF_beta (dimensionless)');
LEGEND_STATES(:,5) = strpad('fbm in component fbm (dimensionless)');
LEGEND_CONSTANTS(:,20) = strpad('K_form in component model_parameters (second_order_rate_constant)');
LEGEND_CONSTANTS(:,21) = strpad('K_res in component model_parameters (second_order_rate_constant)');
LEGEND_ALGEBRAIC(:,1) = strpad('dfbmdt in component fbm (first_order_rate_constant)');
LEGEND_STATES(:,6) = strpad('OCY in component OCY (pM)');
LEGEND_ALGEBRAIC(:,4) = strpad('OCY_act in component OCY (pM)');
LEGEND_CONSTANTS(:,80) = strpad('OCY_act_0 in component OCY (pM)');
LEGEND_CONSTANTS(:,22) = strpad('fact_0 in component model_parameters (pM)');
LEGEND_STATES(:,7) = strpad('vm in component vm (dimensionless)');
LEGEND_CONSTANTS(:,23) = strpad('XKAPPA in component model_parameters (first_order_rate_constant)');
LEGEND_CONSTANTS(:,24) = strpad('vmmax in component model_parameters (dimensionless)');
LEGEND_CONSTANTS(:,81) = strpad('PTH_tot in component PTH (pM)');
LEGEND_CONSTANTS(:,84) = strpad('Pi_PTH_act in component PTH (dimensionless)');
LEGEND_CONSTANTS(:,85) = strpad('Pi_PTH_rep in component PTH (dimensionless)');
LEGEND_CONSTANTS(:,25) = strpad('Beta_PTH in component model_parameters (flux)');
LEGEND_CONSTANTS(:,26) = strpad('P_PTH_d in component model_parameters (flux)');
LEGEND_CONSTANTS(:,27) = strpad('Deg_PTH in component model_parameters (first_order_rate_constant)');
LEGEND_CONSTANTS(:,28) = strpad('KD_PTH_act in component model_parameters (pM)');
LEGEND_CONSTANTS(:,29) = strpad('KD_PTH_rep in component model_parameters (pM)');
LEGEND_ALGEBRAIC(:,37) = strpad('RANK in component RANK_RANKL_OPG (pM)');
LEGEND_ALGEBRAIC(:,38) = strpad('RANKL in component RANK_RANKL_OPG (pM)');
LEGEND_ALGEBRAIC(:,39) = strpad('OPG in component RANK_RANKL_OPG (pM)');
LEGEND_ALGEBRAIC(:,40) = strpad('RANKL_tot in component RANK_RANKL_OPG (pM)');
LEGEND_CONSTANTS(:,86) = strpad('RANKL_max in component RANK_RANKL_OPG (pM)');
LEGEND_ALGEBRAIC(:,41) = strpad('P_RANKL1 in component RANK_RANKL_OPG (flux)');
LEGEND_ALGEBRAIC(:,42) = strpad('P_RANKL2 in component RANK_RANKL_OPG (flux)');
LEGEND_ALGEBRAIC(:,43) = strpad('P_RANKL in component RANK_RANKL_OPG (flux)');
LEGEND_CONSTANTS(:,30) = strpad('P_RANKL_d in component model_parameters (flux)');
LEGEND_ALGEBRAIC(:,35) = strpad('Pi_NO_PTH_act_rep in component NO_PTH (dimensionless)');
LEGEND_CONSTANTS(:,31) = strpad('N_RANK_OCp in component model_parameters (dimensionless)');
LEGEND_CONSTANTS(:,32) = strpad('N_RANKL_OBp_max in component model_parameters (dimensionless)');
LEGEND_CONSTANTS(:,33) = strpad('K_RANK_RANKL in component model_parameters (pM)');
LEGEND_CONSTANTS(:,34) = strpad('Beta_OPG in component model_parameters (first_order_rate_constant)');
LEGEND_CONSTANTS(:,35) = strpad('OPG_max in component model_parameters (pM)');
LEGEND_CONSTANTS(:,36) = strpad('Deg_OPG in component model_parameters (first_order_rate_constant)');
LEGEND_CONSTANTS(:,37) = strpad('Deg_OPG_RANKL in component model_parameters (first_order_rate_constant)');
LEGEND_CONSTANTS(:,38) = strpad('K_OPG_RANKL in component model_parameters (pM)');
LEGEND_CONSTANTS(:,39) = strpad('Beta_RANKL_OCY in component model_parameters (first_order_rate_constant)');
LEGEND_CONSTANTS(:,40) = strpad('Beta_RANKL_OBp in component model_parameters (first_order_rate_constant)');
LEGEND_CONSTANTS(:,41) = strpad('Deg_RANKL in component model_parameters (first_order_rate_constant)');
LEGEND_CONSTANTS(:,42) = strpad('Deg_RANK_RANKL in component model_parameters (first_order_rate_constant)');
LEGEND_CONSTANTS(:,43) = strpad('KD_RANKL_act_OCp in component model_parameters (pM)');
LEGEND_CONSTANTS(:,44) = strpad('KD_RANKL_act_OCu in component model_parameters (pM)');
LEGEND_ALGEBRAIC(:,5) = strpad('TGF_beta in component TGF_beta (pM)');
LEGEND_CONSTANTS(:,79) = strpad('TGF_beta_t0 in component TGF_beta (pM)');
LEGEND_CONSTANTS(:,45) = strpad('OCa_t0 in component TGF_beta (pM)');
LEGEND_CONSTANTS(:,46) = strpad('Alpha in component model_parameters (dimensionless)');
LEGEND_CONSTANTS(:,47) = strpad('KD_TGF_beta_activate in component model_parameters (pM)');
LEGEND_ALGEBRAIC(:,7) = strpad('Pi_TGFbeta_OBu_act in component TGF_beta (dimensionless)');
LEGEND_ALGEBRAIC(:,46) = strpad('Scl in component Scl (pM)');
LEGEND_CONSTANTS(:,112) = strpad('Scl_0 in component Scl (pM)');
LEGEND_ALGEBRAIC(:,49) = strpad('P_Scl_b in component Scl (flux)');
LEGEND_CONSTANTS(:,114) = strpad('P_Scl_b_0 in component Scl (flux)');
LEGEND_ALGEBRAIC(:,34) = strpad('A in component Scl (second_order_rate_constant)');
LEGEND_CONSTANTS(:,109) = strpad('A_0 in component Scl (second_order_rate_constant)');
LEGEND_ALGEBRAIC(:,36) = strpad('B in component Scl (first_order_rate_constant)');
LEGEND_CONSTANTS(:,110) = strpad('B_0 in component Scl (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,44) = strpad('C in component Scl (flux)');
LEGEND_CONSTANTS(:,111) = strpad('C_0 in component Scl (flux)');
LEGEND_ALGEBRAIC(:,32) = strpad('OCYprod in component Scl (flux)');
LEGEND_CONSTANTS(:,108) = strpad('OCYprod_0 in component Scl (flux)');
LEGEND_CONSTANTS(:,90) = strpad('Wnt in component Wnt (pM)');
LEGEND_CONSTANTS(:,48) = strpad('Wnt_0 in component model_parameters (pM)');
LEGEND_ALGEBRAIC(:,30) = strpad('Pi_eps_rep in component SED (dimensionless)');
LEGEND_CONSTANTS(:,107) = strpad('Pi_eps_rep_stst in component SED (dimensionless)');
LEGEND_CONSTANTS(:,88) = strpad('Beta_Scl in component Scl (first_order_rate_constant)');
LEGEND_CONSTANTS(:,49) = strpad('Beta_Scl_0 in component model_parameters (first_order_rate_constant)');
LEGEND_CONSTANTS(:,50) = strpad('KD_SclLRP5 in component model_parameters (pM)');
LEGEND_CONSTANTS(:,51) = strpad('Deg_Scl in component model_parameters (first_order_rate_constant)');
LEGEND_CONSTANTS(:,52) = strpad('Scl_max in component model_parameters (pM)');
LEGEND_CONSTANTS(:,53) = strpad('KD_WntLRP5 in component model_parameters (pM)');
LEGEND_CONSTANTS(:,54) = strpad('Deg_SclLRP5 in component model_parameters (first_order_rate_constant)');
LEGEND_CONSTANTS(:,55) = strpad('LRP5perCell in component model_parameters (dimensionless)');
LEGEND_ALGEBRAIC(:,12) = strpad('LRP5tot in component Scl (pM)');
LEGEND_CONSTANTS(:,89) = strpad('LRP5tot_0 in component Scl (pM)');
LEGEND_CONSTANTS(:,56) = strpad('P_Scl_d in component model_parameters (flux)');
LEGEND_CONSTANTS(:,91) = strpad('PTH_tot in component NO_PTH (pM)');
LEGEND_ALGEBRAIC(:,31) = strpad('NO_tot in component NO_PTH (pM)');
LEGEND_CONSTANTS(:,104) = strpad('NO_eq in component NO_PTH (pM)');
LEGEND_CONSTANTS(:,92) = strpad('Beta_NO in component NO_PTH (first_order_rate_constant)');
LEGEND_CONSTANTS(:,57) = strpad('Beta_NO_0 in component model_parameters (first_order_rate_constant)');
LEGEND_CONSTANTS(:,58) = strpad('P_NO_d in component model_parameters (flux)');
LEGEND_CONSTANTS(:,59) = strpad('Deg_NO in component model_parameters (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,29) = strpad('Pi_eps_act in component SED (dimensionless)');
LEGEND_CONSTANTS(:,103) = strpad('Pi_eps_act_stst in component SED (dimensionless)');
LEGEND_CONSTANTS(:,60) = strpad('NO_max in component model_parameters (pM)');
LEGEND_CONSTANTS(:,105) = strpad('KD_rep_NO in component NO_PTH (pM)');
LEGEND_CONSTANTS(:,61) = strpad('aa in component NO_PTH (dimensionless)');
LEGEND_CONSTANTS(:,93) = strpad('Pi_PTH_act in component NO_PTH (dimensionless)');
LEGEND_ALGEBRAIC(:,33) = strpad('Pi_NO_rep in component NO_PTH (dimensionless)');
LEGEND_CONSTANTS(:,62) = strpad('lambda_s in component model_parameters (dimensionless)');
LEGEND_CONSTANTS(:,63) = strpad('lambda_c in component model_parameters (dimensionless)');
LEGEND_ALGEBRAIC(:,27) = strpad('SED in component SED (MPa)');
LEGEND_ALGEBRAIC(:,28) = strpad('SED_bm in component SED (MPa)');
LEGEND_CONSTANTS(:,64) = strpad('sig_macro_t0 in component model_parameters (MPa)');
LEGEND_CONSTANTS(:,65) = strpad('de_sig_macro in component model_parameters (MPa)');
LEGEND_CONSTANTS(:,99) = strpad('sig_macro in component SED (MPa)');
LEGEND_CONSTANTS(:,94) = strpad('sig_1 in component SED (MPa)');
LEGEND_CONSTANTS(:,95) = strpad('sig_2 in component SED (MPa)');
LEGEND_CONSTANTS(:,100) = strpad('sig_3 in component SED (MPa)');
LEGEND_CONSTANTS(:,96) = strpad('sig_4 in component SED (MPa)');
LEGEND_CONSTANTS(:,97) = strpad('sig_5 in component SED (MPa)');
LEGEND_CONSTANTS(:,98) = strpad('sig_6 in component SED (MPa)');
LEGEND_ALGEBRAIC(:,21) = strpad('eps_1 in component SED (dimensionless)');
LEGEND_ALGEBRAIC(:,22) = strpad('eps_2 in component SED (dimensionless)');
LEGEND_ALGEBRAIC(:,23) = strpad('eps_3 in component SED (dimensionless)');
LEGEND_ALGEBRAIC(:,24) = strpad('eps_4 in component SED (dimensionless)');
LEGEND_ALGEBRAIC(:,25) = strpad('eps_5 in component SED (dimensionless)');
LEGEND_ALGEBRAIC(:,26) = strpad('eps_6 in component SED (dimensionless)');
LEGEND_ALGEBRAIC(:,13) = strpad('dens_tis in component SED (g_per_cm3)');
LEGEND_CONSTANTS(:,66) = strpad('vo in component model_parameters (dimensionless)');
LEGEND_CONSTANTS(:,67) = strpad('rho_m in component model_parameters (g_per_cm3)');
LEGEND_CONSTANTS(:,68) = strpad('rho_o in component model_parameters (g_per_cm3)');
LEGEND_ALGEBRAIC(:,14) = strpad('fvas in component SED (dimensionless)');
LEGEND_ALGEBRAIC(:,15) = strpad('dens in component SED (g_per_cm3)');
LEGEND_ALGEBRAIC(:,16) = strpad('dens_1 in component SED (dimensionless)');
LEGEND_ALGEBRAIC(:,17) = strpad('E_mod in component SED (MPa)');
LEGEND_CONSTANTS(:,69) = strpad('nu in component model_parameters (dimensionless)');
LEGEND_ALGEBRAIC(:,18) = strpad('S_11 in component SED (per_MPa)');
LEGEND_ALGEBRAIC(:,19) = strpad('S_12 in component SED (per_MPa)');
LEGEND_ALGEBRAIC(:,20) = strpad('S_44 in component SED (per_MPa)');
LEGEND_CONSTANTS(:,70) = strpad('omega in component model_parameters (dimensionless)');
LEGEND_CONSTANTS(:,101) = strpad('valeq in component SED (dimensionless)');
LEGEND_CONSTANTS(:,71) = strpad('taueq in component model_parameters (MPa)');
LEGEND_CONSTANTS(:,72) = strpad('alphaAct in component model_parameters (dimensionless)');
LEGEND_CONSTANTS(:,73) = strpad('alphaRep in component model_parameters (dimensionless)');
LEGEND_CONSTANTS(:,74) = strpad('gammaAct in component model_parameters (dimensionless)');
LEGEND_CONSTANTS(:,75) = strpad('gammaRep in component model_parameters (dimensionless)');
LEGEND_CONSTANTS(:,76) = strpad('rhoAct in component model_parameters (dimensionless)');
LEGEND_CONSTANTS(:,77) = strpad('rhoRep in component model_parameters (dimensionless)');
LEGEND_CONSTANTS(:,102) = strpad('deltaAct in component SED (MPa)');
LEGEND_CONSTANTS(:,106) = strpad('deltaRep in component SED (MPa)');
LEGEND_RATES(:,1) = strpad('d/dt OBp in component OBp (pM)');
LEGEND_RATES(:,2) = strpad('d/dt OBa in component OBa (pM)');
LEGEND_RATES(:,3) = strpad('d/dt OCp in component OCp (pM)');
LEGEND_RATES(:,4) = strpad('d/dt OCa in component OCa (pM)');
LEGEND_RATES(:,5) = strpad('d/dt fbm in component fbm (dimensionless)');
LEGEND_RATES(:,6) = strpad('d/dt OCY in component OCY (pM)');
LEGEND_RATES(:,7) = strpad('d/dt vm in component vm (dimensionless)');
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) = 1.1631869976e-03;
CONSTANTS(:,1) = 1.1631869976e-03;
CONSTANTS(:,2) = 0.01;
CONSTANTS(:,3) = 0.185;
CONSTANTS(:,4) = 0.0001;
CONSTANTS(:,5) = 0.000175426051821094;
CONSTANTS(:,6) = 0.5;
CONSTANTS(:,7) = 0.001;
CONSTANTS(:,8) = 0.005;
CONSTANTS(:,9) = 0.166;
CONSTANTS(:,10) = 0;
STATES(:,2) = 9.1880026722e-04;
CONSTANTS(:,11) = 0;
CONSTANTS(:,12) = 0.0212;
CONSTANTS(:,13) = 0.1908;
STATES(:,3) = 1.3556879825e-03;
CONSTANTS(:,14) = 0.01;
CONSTANTS(:,15) = 0.0219;
CONSTANTS(:,16) = 0;
CONSTANTS(:,17) = 0.01958;
STATES(:,4) = 1.8376005344e-05;
CONSTANTS(:,18) = 0;
CONSTANTS(:,19) = 10;
STATES(:,5) = 15;
CONSTANTS(:,20) = 50;
CONSTANTS(:,21) = 2500;
STATES(:,6) = 1.2734398187e-02;
CONSTANTS(:,22) = 0.000414138;
STATES(:,7) = 3.5893417161e-01;
CONSTANTS(:,23) = 0.007;
CONSTANTS(:,24) = 0.516;
CONSTANTS(:,25) = 250;
CONSTANTS(:,26) = 0;
CONSTANTS(:,27) = 86;
CONSTANTS(:,28) = 0.65;
CONSTANTS(:,29) = 0.222581427709954;
CONSTANTS(:,30) = 0;
CONSTANTS(:,31) = 4160;
CONSTANTS(:,32) = 2703476;
CONSTANTS(:,33) = 10;
CONSTANTS(:,34) = 162490033.783568;
CONSTANTS(:,35) = 131.428571428571;
CONSTANTS(:,36) = 532608.695652174;
CONSTANTS(:,37) = 10.132471014805;
CONSTANTS(:,38) = 0.0151142857142857;
CONSTANTS(:,39) = 5660;
CONSTANTS(:,40) = 23600;
CONSTANTS(:,41) = 10.132471014805;
CONSTANTS(:,42) = 10.132471014805;
CONSTANTS(:,43) = 3.34;
CONSTANTS(:,44) = 16.7;
CONSTANTS(:,45) = 0.0001;
CONSTANTS(:,46) = 1;
CONSTANTS(:,47) = 0.000563278809675429;
CONSTANTS(:,48) = 170;
CONSTANTS(:,49) = 24000;
CONSTANTS(:,50) = 10;
CONSTANTS(:,51) = 1;
CONSTANTS(:,52) = 70;
CONSTANTS(:,53) = 1000;
CONSTANTS(:,54) = 50;
CONSTANTS(:,55) = 5;
CONSTANTS(:,56) = 0;
CONSTANTS(:,57) = 3440;
CONSTANTS(:,58) = 0;
CONSTANTS(:,59) = 0.0021;
CONSTANTS(:,60) = 200000000;
CONSTANTS(:,61) = 2;
CONSTANTS(:,62) = 0.450454;
CONSTANTS(:,63) = 0.900909;
CONSTANTS(:,64) = -0.1457;
CONSTANTS(:,65) = 0;
CONSTANTS(:,66) = 0.428571428571428;
CONSTANTS(:,67) = 3.2;
CONSTANTS(:,68) = 1.41;
CONSTANTS(:,69) = 0.3;
CONSTANTS(:,70) = 0.95;
CONSTANTS(:,71) = 0.006652;
CONSTANTS(:,72) = 1;
CONSTANTS(:,73) = 1;
CONSTANTS(:,74) = 7;
CONSTANTS(:,75) = 8.01559;
CONSTANTS(:,76) = 0;
CONSTANTS(:,77) = 0;
CONSTANTS(:,78) = ( CONSTANTS(:,3).*1.00000)./(1.00000+CONSTANTS(:,4)./CONSTANTS(:,5));
CONSTANTS(:,79) = CONSTANTS(:,46).*CONSTANTS(:,45);
CONSTANTS(:,80) = CONSTANTS(:,22).*20.0000;
CONSTANTS(:,81) = (CONSTANTS(:,25)+CONSTANTS(:,26))./CONSTANTS(:,27);
CONSTANTS(:,82) = ( CONSTANTS(:,6).*CONSTANTS(:,78))./(1.00000 - CONSTANTS(:,7)./CONSTANTS(:,8));
CONSTANTS(:,83) = CONSTANTS(:,79)./(CONSTANTS(:,47)+CONSTANTS(:,79));
CONSTANTS(:,84) = CONSTANTS(:,81)./(CONSTANTS(:,81)+CONSTANTS(:,28));
CONSTANTS(:,85) = 1.00000./(1.00000+CONSTANTS(:,81)./CONSTANTS(:,29));
CONSTANTS(:,86) = CONSTANTS(:,32).*CONSTANTS(:,1);
CONSTANTS(:,87) = (1.00000 - CONSTANTS(:,6)).*CONSTANTS(:,9).*CONSTANTS(:,83);
CONSTANTS(:,88) = CONSTANTS(:,49);
CONSTANTS(:,89) = CONSTANTS(:,55).*CONSTANTS(:,1);
CONSTANTS(:,90) = CONSTANTS(:,48);
CONSTANTS(:,91) = (CONSTANTS(:,25)+CONSTANTS(:,26))./CONSTANTS(:,27);
CONSTANTS(:,92) = CONSTANTS(:,57);
CONSTANTS(:,93) = CONSTANTS(:,91)./(CONSTANTS(:,91)+CONSTANTS(:,28));
CONSTANTS(:,94) = 0.00000;
CONSTANTS(:,95) = 0.00000;
CONSTANTS(:,96) = 0.00000;
CONSTANTS(:,97) = 0.00000;
CONSTANTS(:,98) = 0.00000;
CONSTANTS(:,99) = CONSTANTS(:,64)+CONSTANTS(:,65);
CONSTANTS(:,100) = CONSTANTS(:,99);
CONSTANTS(:,101) = CONSTANTS(:,70);
CONSTANTS(:,102) = CONSTANTS(:,71).*power((CONSTANTS(:,72) - CONSTANTS(:,101))./(CONSTANTS(:,101) - CONSTANTS(:,76)), 1.00000./CONSTANTS(:,74));
CONSTANTS(:,103) = CONSTANTS(:,76)+( (CONSTANTS(:,72) - CONSTANTS(:,76)).*power(CONSTANTS(:,71), CONSTANTS(:,74)))./(power(CONSTANTS(:,102), CONSTANTS(:,74))+power(CONSTANTS(:,71), CONSTANTS(:,74)));
CONSTANTS(:,104) = ( CONSTANTS(:,57).*CONSTANTS(:,103).*CONSTANTS(:,80))./(CONSTANTS(:,59)+( CONSTANTS(:,57).*CONSTANTS(:,103).*CONSTANTS(:,80))./CONSTANTS(:,60));
CONSTANTS(:,105) = CONSTANTS(:,104)./CONSTANTS(:,61);
CONSTANTS(:,106) = CONSTANTS(:,71).*power((CONSTANTS(:,101) - CONSTANTS(:,77))./(CONSTANTS(:,73) - CONSTANTS(:,101)), 1.00000./CONSTANTS(:,75));
CONSTANTS(:,107) = CONSTANTS(:,73) - ( (CONSTANTS(:,73) - CONSTANTS(:,77)).*power(CONSTANTS(:,71), CONSTANTS(:,75)))./(power(CONSTANTS(:,106), CONSTANTS(:,75))+power(CONSTANTS(:,71), CONSTANTS(:,75)));
CONSTANTS(:,108) = CONSTANTS(:,49).*CONSTANTS(:,80).*CONSTANTS(:,107);
CONSTANTS(:,109) = (1.00000./CONSTANTS(:,50)).*(CONSTANTS(:,51)+CONSTANTS(:,108)./CONSTANTS(:,52));
CONSTANTS(:,110) = ( CONSTANTS(:,109).*CONSTANTS(:,50).*(1.00000+CONSTANTS(:,48)./CONSTANTS(:,53))+( CONSTANTS(:,54).*CONSTANTS(:,89))./CONSTANTS(:,50)) - (CONSTANTS(:,56)+CONSTANTS(:,108))./CONSTANTS(:,50);
CONSTANTS(:,111) = - (CONSTANTS(:,56)+CONSTANTS(:,108)).*(1.00000+CONSTANTS(:,48)./CONSTANTS(:,53));
CONSTANTS(:,112) = ( - CONSTANTS(:,110)+power((power(CONSTANTS(:,110), 2.00000) - 4.00000.*CONSTANTS(:,109).*CONSTANTS(:,111)), 1.0 ./ 2))./( 2.00000.*CONSTANTS(:,109));
CONSTANTS(:,113) = CONSTANTS(:,48)./( CONSTANTS(:,53).*(1.00000+CONSTANTS(:,48)./CONSTANTS(:,53)+CONSTANTS(:,112)./CONSTANTS(:,50)));
CONSTANTS(:,114) = CONSTANTS(:,108).*(1.00000 - CONSTANTS(:,112)./CONSTANTS(:,52));
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(:,7) = CONSTANTS(:,23).*(CONSTANTS(:,24) - STATES(:,7)) - ( STATES(:,7).*CONSTANTS(:,20).*STATES(:,2))./STATES(:,5);
ALGEBRAIC(:,1) = CONSTANTS(:,20).*STATES(:,2) - CONSTANTS(:,21).*STATES(:,4);
RATES(:,5) = ALGEBRAIC(:,1);
RATES(:,6) = CONSTANTS(:,22).*ALGEBRAIC(:,1);
ALGEBRAIC(:,5) = CONSTANTS(:,46).*STATES(:,4);
ALGEBRAIC(:,9) = 1.00000./(1.00000+ALGEBRAIC(:,5)./CONSTANTS(:,5));
ALGEBRAIC(:,10) = CONSTANTS(:,3).*ALGEBRAIC(:,9).*STATES(:,1);
ALGEBRAIC(:,11) = ALGEBRAIC(:,10)+CONSTANTS(:,11);
ALGEBRAIC(:,3) = (CONSTANTS(:,12)+CONSTANTS(:,13)).*STATES(:,2);
RATES(:,2) = ALGEBRAIC(:,11) - ALGEBRAIC(:,3);
ALGEBRAIC(:,2) = CONSTANTS(:,82).*(1.00000 - STATES(:,1)./CONSTANTS(:,8));
ALGEBRAIC(:,4) = CONSTANTS(:,22).*STATES(:,5);
ALGEBRAIC(:,13) = 1.00000+ (CONSTANTS(:,67) - 1.00000).*STATES(:,7)+ (CONSTANTS(:,68) - 1.00000).*CONSTANTS(:,66);
ALGEBRAIC(:,15) = ( ALGEBRAIC(:,13).*STATES(:,5))./100.000;
ALGEBRAIC(:,16) = ALGEBRAIC(:,15)./1.00000;
ALGEBRAIC(:,17) = piecewise({ALGEBRAIC(:,16)<1.20000, 2014.00.*power(ALGEBRAIC(:,16), 2.50000) }, 1763.00.*power(ALGEBRAIC(:,16), 3.20000));
ALGEBRAIC(:,18) = 1.00000./ALGEBRAIC(:,17);
ALGEBRAIC(:,19) = - CONSTANTS(:,69)./ALGEBRAIC(:,17);
ALGEBRAIC(:,21) = ALGEBRAIC(:,18).*CONSTANTS(:,94)+ ALGEBRAIC(:,19).*CONSTANTS(:,95)+ ALGEBRAIC(:,19).*CONSTANTS(:,100);
ALGEBRAIC(:,22) = ALGEBRAIC(:,19).*CONSTANTS(:,94)+ ALGEBRAIC(:,18).*CONSTANTS(:,95)+ ALGEBRAIC(:,19).*CONSTANTS(:,100);
ALGEBRAIC(:,23) = ALGEBRAIC(:,19).*CONSTANTS(:,94)+ ALGEBRAIC(:,19).*CONSTANTS(:,95)+ ALGEBRAIC(:,18).*CONSTANTS(:,100);
ALGEBRAIC(:,20) = (2.00000+ 2.00000.*CONSTANTS(:,69))./ALGEBRAIC(:,17);
ALGEBRAIC(:,24) = ALGEBRAIC(:,20).*CONSTANTS(:,96);
ALGEBRAIC(:,25) = ALGEBRAIC(:,20).*CONSTANTS(:,97);
ALGEBRAIC(:,26) = ALGEBRAIC(:,20).*CONSTANTS(:,98);
ALGEBRAIC(:,27) = 0.500000.*( CONSTANTS(:,94).*ALGEBRAIC(:,21)+ CONSTANTS(:,95).*ALGEBRAIC(:,22)+ CONSTANTS(:,100).*ALGEBRAIC(:,23)+ CONSTANTS(:,96).*ALGEBRAIC(:,24)+ CONSTANTS(:,97).*ALGEBRAIC(:,25)+ CONSTANTS(:,98).*ALGEBRAIC(:,26));
ALGEBRAIC(:,14) = 1.00000 - STATES(:,5)./100.000;
ALGEBRAIC(:,28) = ALGEBRAIC(:,27)./power(1.00000 - ALGEBRAIC(:,14), 2.00000);
ALGEBRAIC(:,30) = CONSTANTS(:,73) - ( (CONSTANTS(:,73) - CONSTANTS(:,77)).*power(ALGEBRAIC(:,28), CONSTANTS(:,75)))./(power(CONSTANTS(:,106), CONSTANTS(:,75))+power(ALGEBRAIC(:,28), CONSTANTS(:,75)));
ALGEBRAIC(:,32) = CONSTANTS(:,88).*ALGEBRAIC(:,4).*ALGEBRAIC(:,30);
ALGEBRAIC(:,34) = (1.00000./CONSTANTS(:,50)).*(CONSTANTS(:,51)+ALGEBRAIC(:,32)./CONSTANTS(:,52));
ALGEBRAIC(:,12) = CONSTANTS(:,55).*STATES(:,1);
ALGEBRAIC(:,36) = ( ALGEBRAIC(:,34).*CONSTANTS(:,50).*(1.00000+CONSTANTS(:,90)./CONSTANTS(:,53))+( CONSTANTS(:,54).*ALGEBRAIC(:,12))./CONSTANTS(:,50)) - (CONSTANTS(:,56)+ALGEBRAIC(:,32))./CONSTANTS(:,50);
ALGEBRAIC(:,44) = - (CONSTANTS(:,56)+ALGEBRAIC(:,32)).*(1.00000+CONSTANTS(:,90)./CONSTANTS(:,53));
ALGEBRAIC(:,46) = ( - ALGEBRAIC(:,36)+power((power(ALGEBRAIC(:,36), 2.00000) - 4.00000.*ALGEBRAIC(:,34).*ALGEBRAIC(:,44)), 1.0 ./ 2))./( 2.00000.*ALGEBRAIC(:,34));
ALGEBRAIC(:,47) = CONSTANTS(:,90)./( CONSTANTS(:,53).*(1.00000+CONSTANTS(:,90)./CONSTANTS(:,53)+ALGEBRAIC(:,46)./CONSTANTS(:,50)));
ALGEBRAIC(:,50) = CONSTANTS(:,87).*CONSTANTS(:,2)+( ALGEBRAIC(:,2).*STATES(:,1).*ALGEBRAIC(:,47))./CONSTANTS(:,113)+CONSTANTS(:,10);
RATES(:,1) = ALGEBRAIC(:,50) - ALGEBRAIC(:,10);
ALGEBRAIC(:,29) = CONSTANTS(:,76)+( (CONSTANTS(:,72) - CONSTANTS(:,76)).*power(ALGEBRAIC(:,28), CONSTANTS(:,74)))./(power(CONSTANTS(:,102), CONSTANTS(:,74))+power(ALGEBRAIC(:,28), CONSTANTS(:,74)));
ALGEBRAIC(:,31) = ( CONSTANTS(:,92).*ALGEBRAIC(:,29).*ALGEBRAIC(:,4)+CONSTANTS(:,58))./(CONSTANTS(:,59)+( CONSTANTS(:,92).*ALGEBRAIC(:,29).*ALGEBRAIC(:,4))./CONSTANTS(:,60));
ALGEBRAIC(:,33) = 1.00000./(1.00000+ALGEBRAIC(:,31)./CONSTANTS(:,105));
ALGEBRAIC(:,35) = CONSTANTS(:,62).*(CONSTANTS(:,93)+ALGEBRAIC(:,33))+ CONSTANTS(:,63).*CONSTANTS(:,93).*ALGEBRAIC(:,33);
[CONSTANTS, STATES, ALGEBRAIC] = rootfind_0(VOI, CONSTANTS, STATES, ALGEBRAIC);
ALGEBRAIC(:,45) = ALGEBRAIC(:,38)./(CONSTANTS(:,43)+ALGEBRAIC(:,38));
ALGEBRAIC(:,48) = CONSTANTS(:,17).*ALGEBRAIC(:,45).*STATES(:,3);
ALGEBRAIC(:,52) = ALGEBRAIC(:,48)+CONSTANTS(:,18);
ALGEBRAIC(:,6) = ALGEBRAIC(:,5)./(CONSTANTS(:,47)+ALGEBRAIC(:,5));
ALGEBRAIC(:,8) = CONSTANTS(:,19).*ALGEBRAIC(:,6).*STATES(:,4);
RATES(:,4) = ALGEBRAIC(:,52) - ALGEBRAIC(:,8);
ALGEBRAIC(:,51) = ALGEBRAIC(:,38)./(CONSTANTS(:,44)+ALGEBRAIC(:,38));
ALGEBRAIC(:,53) = CONSTANTS(:,15).*CONSTANTS(:,14).*ALGEBRAIC(:,51)+CONSTANTS(:,16);
RATES(:,3) = ALGEBRAIC(:,53) - 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(:,1) = CONSTANTS(:,20).*STATES(:,2) - CONSTANTS(:,21).*STATES(:,4);
ALGEBRAIC(:,5) = CONSTANTS(:,46).*STATES(:,4);
ALGEBRAIC(:,9) = 1.00000./(1.00000+ALGEBRAIC(:,5)./CONSTANTS(:,5));
ALGEBRAIC(:,10) = CONSTANTS(:,3).*ALGEBRAIC(:,9).*STATES(:,1);
ALGEBRAIC(:,11) = ALGEBRAIC(:,10)+CONSTANTS(:,11);
ALGEBRAIC(:,3) = (CONSTANTS(:,12)+CONSTANTS(:,13)).*STATES(:,2);
ALGEBRAIC(:,2) = CONSTANTS(:,82).*(1.00000 - STATES(:,1)./CONSTANTS(:,8));
ALGEBRAIC(:,4) = CONSTANTS(:,22).*STATES(:,5);
ALGEBRAIC(:,13) = 1.00000+ (CONSTANTS(:,67) - 1.00000).*STATES(:,7)+ (CONSTANTS(:,68) - 1.00000).*CONSTANTS(:,66);
ALGEBRAIC(:,15) = ( ALGEBRAIC(:,13).*STATES(:,5))./100.000;
ALGEBRAIC(:,16) = ALGEBRAIC(:,15)./1.00000;
ALGEBRAIC(:,17) = piecewise({ALGEBRAIC(:,16)<1.20000, 2014.00.*power(ALGEBRAIC(:,16), 2.50000) }, 1763.00.*power(ALGEBRAIC(:,16), 3.20000));
ALGEBRAIC(:,18) = 1.00000./ALGEBRAIC(:,17);
ALGEBRAIC(:,19) = - CONSTANTS(:,69)./ALGEBRAIC(:,17);
ALGEBRAIC(:,21) = ALGEBRAIC(:,18).*CONSTANTS(:,94)+ ALGEBRAIC(:,19).*CONSTANTS(:,95)+ ALGEBRAIC(:,19).*CONSTANTS(:,100);
ALGEBRAIC(:,22) = ALGEBRAIC(:,19).*CONSTANTS(:,94)+ ALGEBRAIC(:,18).*CONSTANTS(:,95)+ ALGEBRAIC(:,19).*CONSTANTS(:,100);
ALGEBRAIC(:,23) = ALGEBRAIC(:,19).*CONSTANTS(:,94)+ ALGEBRAIC(:,19).*CONSTANTS(:,95)+ ALGEBRAIC(:,18).*CONSTANTS(:,100);
ALGEBRAIC(:,20) = (2.00000+ 2.00000.*CONSTANTS(:,69))./ALGEBRAIC(:,17);
ALGEBRAIC(:,24) = ALGEBRAIC(:,20).*CONSTANTS(:,96);
ALGEBRAIC(:,25) = ALGEBRAIC(:,20).*CONSTANTS(:,97);
ALGEBRAIC(:,26) = ALGEBRAIC(:,20).*CONSTANTS(:,98);
ALGEBRAIC(:,27) = 0.500000.*( CONSTANTS(:,94).*ALGEBRAIC(:,21)+ CONSTANTS(:,95).*ALGEBRAIC(:,22)+ CONSTANTS(:,100).*ALGEBRAIC(:,23)+ CONSTANTS(:,96).*ALGEBRAIC(:,24)+ CONSTANTS(:,97).*ALGEBRAIC(:,25)+ CONSTANTS(:,98).*ALGEBRAIC(:,26));
ALGEBRAIC(:,14) = 1.00000 - STATES(:,5)./100.000;
ALGEBRAIC(:,28) = ALGEBRAIC(:,27)./power(1.00000 - ALGEBRAIC(:,14), 2.00000);
ALGEBRAIC(:,30) = CONSTANTS(:,73) - ( (CONSTANTS(:,73) - CONSTANTS(:,77)).*power(ALGEBRAIC(:,28), CONSTANTS(:,75)))./(power(CONSTANTS(:,106), CONSTANTS(:,75))+power(ALGEBRAIC(:,28), CONSTANTS(:,75)));
ALGEBRAIC(:,32) = CONSTANTS(:,88).*ALGEBRAIC(:,4).*ALGEBRAIC(:,30);
ALGEBRAIC(:,34) = (1.00000./CONSTANTS(:,50)).*(CONSTANTS(:,51)+ALGEBRAIC(:,32)./CONSTANTS(:,52));
ALGEBRAIC(:,12) = CONSTANTS(:,55).*STATES(:,1);
ALGEBRAIC(:,36) = ( ALGEBRAIC(:,34).*CONSTANTS(:,50).*(1.00000+CONSTANTS(:,90)./CONSTANTS(:,53))+( CONSTANTS(:,54).*ALGEBRAIC(:,12))./CONSTANTS(:,50)) - (CONSTANTS(:,56)+ALGEBRAIC(:,32))./CONSTANTS(:,50);
ALGEBRAIC(:,44) = - (CONSTANTS(:,56)+ALGEBRAIC(:,32)).*(1.00000+CONSTANTS(:,90)./CONSTANTS(:,53));
ALGEBRAIC(:,46) = ( - ALGEBRAIC(:,36)+power((power(ALGEBRAIC(:,36), 2.00000) - 4.00000.*ALGEBRAIC(:,34).*ALGEBRAIC(:,44)), 1.0 ./ 2))./( 2.00000.*ALGEBRAIC(:,34));
ALGEBRAIC(:,47) = CONSTANTS(:,90)./( CONSTANTS(:,53).*(1.00000+CONSTANTS(:,90)./CONSTANTS(:,53)+ALGEBRAIC(:,46)./CONSTANTS(:,50)));
ALGEBRAIC(:,50) = CONSTANTS(:,87).*CONSTANTS(:,2)+( ALGEBRAIC(:,2).*STATES(:,1).*ALGEBRAIC(:,47))./CONSTANTS(:,113)+CONSTANTS(:,10);
ALGEBRAIC(:,29) = CONSTANTS(:,76)+( (CONSTANTS(:,72) - CONSTANTS(:,76)).*power(ALGEBRAIC(:,28), CONSTANTS(:,74)))./(power(CONSTANTS(:,102), CONSTANTS(:,74))+power(ALGEBRAIC(:,28), CONSTANTS(:,74)));
ALGEBRAIC(:,31) = ( CONSTANTS(:,92).*ALGEBRAIC(:,29).*ALGEBRAIC(:,4)+CONSTANTS(:,58))./(CONSTANTS(:,59)+( CONSTANTS(:,92).*ALGEBRAIC(:,29).*ALGEBRAIC(:,4))./CONSTANTS(:,60));
ALGEBRAIC(:,33) = 1.00000./(1.00000+ALGEBRAIC(:,31)./CONSTANTS(:,105));
ALGEBRAIC(:,35) = CONSTANTS(:,62).*(CONSTANTS(:,93)+ALGEBRAIC(:,33))+ CONSTANTS(:,63).*CONSTANTS(:,93).*ALGEBRAIC(:,33);
ALGEBRAIC(:,45) = ALGEBRAIC(:,38)./(CONSTANTS(:,43)+ALGEBRAIC(:,38));
ALGEBRAIC(:,48) = CONSTANTS(:,17).*ALGEBRAIC(:,45).*STATES(:,3);
ALGEBRAIC(:,52) = ALGEBRAIC(:,48)+CONSTANTS(:,18);
ALGEBRAIC(:,6) = ALGEBRAIC(:,5)./(CONSTANTS(:,47)+ALGEBRAIC(:,5));
ALGEBRAIC(:,8) = CONSTANTS(:,19).*ALGEBRAIC(:,6).*STATES(:,4);
ALGEBRAIC(:,51) = ALGEBRAIC(:,38)./(CONSTANTS(:,44)+ALGEBRAIC(:,38));
ALGEBRAIC(:,53) = CONSTANTS(:,15).*CONSTANTS(:,14).*ALGEBRAIC(:,51)+CONSTANTS(:,16);
ALGEBRAIC(:,7) = ALGEBRAIC(:,5)./(CONSTANTS(:,47)+ALGEBRAIC(:,5));
ALGEBRAIC(:,49) = ALGEBRAIC(:,32).*(1.00000 - ALGEBRAIC(:,46)./CONSTANTS(:,52));
end
% Functions required for solving differential algebraic equation
function [CONSTANTS, STATES, ALGEBRAIC] = rootfind_0(VOI, CONSTANTS_IN, STATES_IN, ALGEBRAIC_IN)
ALGEBRAIC = ALGEBRAIC_IN;
CONSTANTS = CONSTANTS_IN;
STATES = STATES_IN;
global initialGuess_0;
if (length(initialGuess_0) ~= 7), initialGuess_0 = [0.1,0.1,0.1,0.1,0.1,0.1,0.1];, end
options = optimset('Display', 'off', 'TolX', 1E-6);
if length(VOI) == 1
residualfn = @(algebraicCandidate)residualSN_0(algebraicCandidate, ALGEBRAIC, VOI, CONSTANTS, STATES);
soln = fsolve(residualfn, initialGuess_0, options);
initialGuess_0 = soln;
ALGEBRAIC(:,37) = soln(1);
ALGEBRAIC(:,38) = soln(2);
ALGEBRAIC(:,39) = soln(3);
ALGEBRAIC(:,40) = soln(4);
ALGEBRAIC(:,41) = soln(5);
ALGEBRAIC(:,42) = soln(6);
ALGEBRAIC(:,43) = soln(7);
else
SET_ALGEBRAIC(:,37) = logical(1);
SET_ALGEBRAIC(:,38) = logical(1);
SET_ALGEBRAIC(:,39) = logical(1);
SET_ALGEBRAIC(:,40) = logical(1);
SET_ALGEBRAIC(:,41) = logical(1);
SET_ALGEBRAIC(:,42) = logical(1);
SET_ALGEBRAIC(:,43) = logical(1);
for i=1:length(VOI)
residualfn = @(algebraicCandidate)residualSN_0(algebraicCandidate, ALGEBRAIC(i,:), VOI(i), CONSTANTS, STATES(i,:));
soln = fsolve(residualfn, initialGuess_0, options);
initialGuess_0 = soln;
TEMP_ALGEBRAIC(:,37) = soln(1);
TEMP_ALGEBRAIC(:,38) = soln(2);
TEMP_ALGEBRAIC(:,39) = soln(3);
TEMP_ALGEBRAIC(:,40) = soln(4);
TEMP_ALGEBRAIC(:,41) = soln(5);
TEMP_ALGEBRAIC(:,42) = soln(6);
TEMP_ALGEBRAIC(:,43) = soln(7);
ALGEBRAIC(i,SET_ALGEBRAIC) = TEMP_ALGEBRAIC(SET_ALGEBRAIC);
end
end
end
function resid = residualSN_0(algebraicCandidate, ALGEBRAIC, VOI, CONSTANTS, STATES)
ALGEBRAIC(:,37) = algebraicCandidate(1);
ALGEBRAIC(:,38) = algebraicCandidate(2);
ALGEBRAIC(:,39) = algebraicCandidate(3);
ALGEBRAIC(:,40) = algebraicCandidate(4);
ALGEBRAIC(:,41) = algebraicCandidate(5);
ALGEBRAIC(:,42) = algebraicCandidate(6);
ALGEBRAIC(:,43) = algebraicCandidate(7);
resid(1) = ALGEBRAIC(:,37) - ( CONSTANTS(:,31).*STATES(:,3))./(1.00000+ (1.00000./CONSTANTS(:,33)).*ALGEBRAIC(:,38));
resid(2) = ALGEBRAIC(:,39) - ( CONSTANTS(:,34).*CONSTANTS(:,85).*STATES(:,2))./(( CONSTANTS(:,34).*CONSTANTS(:,85).*STATES(:,2))./CONSTANTS(:,35)+CONSTANTS(:,36)+ (CONSTANTS(:,37)./CONSTANTS(:,38)).*ALGEBRAIC(:,38));
resid(3) = ALGEBRAIC(:,40) - ALGEBRAIC(:,38).*(1.00000+ALGEBRAIC(:,37)./CONSTANTS(:,33)+ALGEBRAIC(:,39)./CONSTANTS(:,38));
resid(4) = ALGEBRAIC(:,41) - CONSTANTS(:,39).*(1.00000 - ALGEBRAIC(:,40)./CONSTANTS(:,86)).*ALGEBRAIC(:,4);
resid(5) = ALGEBRAIC(:,42) - CONSTANTS(:,40).*ALGEBRAIC(:,35).*(1.00000 - ALGEBRAIC(:,40)./CONSTANTS(:,86)).*STATES(:,1);
resid(6) = ALGEBRAIC(:,43) - (ALGEBRAIC(:,41)+ALGEBRAIC(:,42));
resid(7) = ALGEBRAIC(:,38) - (ALGEBRAIC(:,43)+CONSTANTS(:,30))./(CONSTANTS(:,41)+ (CONSTANTS(:,42)./CONSTANTS(:,33)).*ALGEBRAIC(:,37)+ (CONSTANTS(:,37)./CONSTANTS(:,38)).*ALGEBRAIC(:,39));
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