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 =88;
end
% There are a total of 14 entries in each of the rate and state variable arrays.
% There are a total of 51 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 (millisecond)');
LEGEND_STATES(:,1) = strpad('Vm in component membrane (millivolt)');
LEGEND_ALGEBRAIC(:,77) = strpad('I_tot in component membrane (picoampere)');
LEGEND_CONSTANTS(:,1) = strpad('I_ext in component membrane (picoampere)');
LEGEND_CONSTANTS(:,2) = strpad('Cm in component membrane (picofarad)');
LEGEND_ALGEBRAIC(:,37) = strpad('I_Ki in component I_Ki (picoampere)');
LEGEND_ALGEBRAIC(:,49) = strpad('I_CaL in component I_CaL (picoampere)');
LEGEND_ALGEBRAIC(:,60) = strpad('I_VDDR in component I_VDDR (picoampere)');
LEGEND_ALGEBRAIC(:,65) = strpad('I_AI in component I_AI (picoampere)');
LEGEND_ALGEBRAIC(:,71) = strpad('I_NaCa in component I_NaCa (picoampere)');
LEGEND_ALGEBRAIC(:,73) = strpad('I_NaK in component I_NaK (picoampere)');
LEGEND_ALGEBRAIC(:,74) = strpad('I_PMCA in component I_PMCA (picoampere)');
LEGEND_STATES(:,2) = strpad('Na_i in component internal_ion_concentrations (millimolar)');
LEGEND_STATES(:,3) = strpad('K_i in component internal_ion_concentrations (millimolar)');
LEGEND_ALGEBRAIC(:,1) = strpad('Ca_i in component internal_ion_concentrations (millimolar)');
LEGEND_ALGEBRAIC(:,3) = strpad('Na_CF in component internal_ion_concentrations (millimolar)');
LEGEND_ALGEBRAIC(:,8) = strpad('K_CF in component internal_ion_concentrations (millimolar)');
LEGEND_ALGEBRAIC(:,12) = strpad('Ca_CF in component internal_ion_concentrations (millimolar)');
LEGEND_ALGEBRAIC(:,75) = strpad('Inet_Na in component internal_ion_concentrations (picoampere)');
LEGEND_ALGEBRAIC(:,76) = strpad('Inet_K in component internal_ion_concentrations (picoampere)');
LEGEND_ALGEBRAIC(:,78) = strpad('Inet_Ca in component internal_ion_concentrations (picoampere)');
LEGEND_STATES(:,4) = strpad('Cai_A in component internal_ion_concentrations (millimolar)');
LEGEND_ALGEBRAIC(:,46) = strpad('I_CaL_Na in component I_CaL (picoampere)');
LEGEND_ALGEBRAIC(:,43) = strpad('I_CaL_K in component I_CaL (picoampere)');
LEGEND_ALGEBRAIC(:,40) = strpad('I_CaL_Ca in component I_CaL (picoampere)');
LEGEND_ALGEBRAIC(:,64) = strpad('I_AI_Na in component I_AI (picoampere)');
LEGEND_ALGEBRAIC(:,63) = strpad('I_AI_K in component I_AI (picoampere)');
LEGEND_ALGEBRAIC(:,62) = strpad('I_AI_Ca in component I_AI (picoampere)');
LEGEND_ALGEBRAIC(:,87) = strpad('I_IP3R in component I_IP3R (picoampere)');
LEGEND_ALGEBRAIC(:,81) = strpad('I_up in component I_up (picoampere)');
LEGEND_ALGEBRAIC(:,85) = strpad('I_leak in component I_leak (picoampere)');
LEGEND_CONSTANTS(:,3) = strpad('Vi in component model_parameters (micrometre3)');
LEGEND_CONSTANTS(:,4) = strpad('T in component model_parameters (kelvin)');
LEGEND_CONSTANTS(:,5) = strpad('R in component model_parameters (coulomb_millivolt_kelvin_millimole)');
LEGEND_CONSTANTS(:,6) = strpad('F in component model_parameters (coulomb_millimole)');
LEGEND_CONSTANTS(:,7) = strpad('Na_o in component model_parameters (millimolar)');
LEGEND_CONSTANTS(:,8) = strpad('K_o in component model_parameters (millimolar)');
LEGEND_CONSTANTS(:,9) = strpad('Ca_o in component model_parameters (millimolar)');
LEGEND_CONSTANTS(:,10) = strpad('ZNa in component model_parameters (dimensionless)');
LEGEND_CONSTANTS(:,11) = strpad('ZK in component model_parameters (dimensionless)');
LEGEND_CONSTANTS(:,12) = strpad('ZCa in component model_parameters (dimensionless)');
LEGEND_ALGEBRAIC(:,21) = strpad('fU in component I_Ki (dimensionless)');
LEGEND_ALGEBRAIC(:,15) = strpad('E_K in component I_Ki (millivolt)');
LEGEND_CONSTANTS(:,13) = strpad('g_Ki in component I_Ki (picoampere_per_millivolt)');
LEGEND_ALGEBRAIC(:,17) = strpad('mu in component I_Ki (dimensionless)');
LEGEND_ALGEBRAIC(:,19) = strpad('lambda in component I_Ki (dimensionless)');
LEGEND_ALGEBRAIC(:,35) = strpad('n in component I_Ki_n_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,23) = strpad('n_1 in component I_Ki_n_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,31) = strpad('n_2 in component I_Ki_n_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,33) = strpad('n_3 in component I_Ki_n_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,25) = strpad('a in component I_Ki_n_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,27) = strpad('b in component I_Ki_n_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,29) = strpad('AB in component I_Ki_n_gate (dimensionless)');
LEGEND_CONSTANTS(:,14) = strpad('PCaL in component I_CaL (picoampere_per_millimolar)');
LEGEND_STATES(:,5) = strpad('m in component I_CaL_m_gate (dimensionless)');
LEGEND_STATES(:,6) = strpad('h in component I_CaL_h_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,2) = strpad('alpha_m in component I_CaL_m_gate (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,4) = strpad('beta_m in component I_CaL_m_gate (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,5) = strpad('alpha_h in component I_CaL_h_gate (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,9) = strpad('beta_h in component I_CaL_h_gate (first_order_rate_constant)');
LEGEND_CONSTANTS(:,15) = strpad('PVDDR in component I_VDDR (picoampere_per_millimolar)');
LEGEND_ALGEBRAIC(:,54) = strpad('m in component I_VDDR_m_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,59) = strpad('h in component I_VDDR_h_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,52) = strpad('alpha_m in component I_VDDR_m_gate (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,53) = strpad('beta_m in component I_VDDR_m_gate (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,50) = strpad('m2 in component I_VDDR_m_gate (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,51) = strpad('m3 in component I_VDDR_m_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,57) = strpad('alpha_h in component I_VDDR_h_gate (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,58) = strpad('beta_h in component I_VDDR_h_gate (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,55) = strpad('h2 in component I_VDDR_h_gate (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,56) = strpad('h3 in component I_VDDR_h_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,61) = strpad('po in component I_AI (dimensionless)');
LEGEND_CONSTANTS(:,16) = strpad('PAI in component I_AI (picoampere_per_millimolar)');
LEGEND_CONSTANTS(:,17) = strpad('Km_Ca_i in component I_AI (millimolar)');
LEGEND_CONSTANTS(:,18) = strpad('PNaCa in component I_NaCa (picoampere)');
LEGEND_CONSTANTS(:,19) = strpad('Km_Na_i in component I_NaCa (millimolar3)');
LEGEND_CONSTANTS(:,20) = strpad('Km_Na_o in component I_NaCa (millimolar3)');
LEGEND_CONSTANTS(:,21) = strpad('Km_Ca_i in component I_NaCa (millimolar)');
LEGEND_CONSTANTS(:,22) = strpad('Km_Ca_o in component I_NaCa (millimolar)');
LEGEND_CONSTANTS(:,43) = strpad('p_E2Na in component I_NaCa (dimensionless)');
LEGEND_ALGEBRAIC(:,66) = strpad('p_E1Na in component I_NaCa (dimensionless)');
LEGEND_ALGEBRAIC(:,67) = strpad('p_E1Ca in component I_NaCa (dimensionless)');
LEGEND_CONSTANTS(:,44) = strpad('p_E2Ca in component I_NaCa (dimensionless)');
LEGEND_STATES(:,7) = strpad('y in component I_NaCa_y_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,68) = strpad('m in component I_NaCa_y_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,70) = strpad('h in component I_NaCa_y_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,72) = strpad('alpha_y in component I_NaCa_y_gate (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,69) = strpad('beta_y in component I_NaCa_y_gate (first_order_rate_constant)');
LEGEND_CONSTANTS(:,23) = strpad('pNaK in component I_NaK (picoampere)');
LEGEND_CONSTANTS(:,24) = strpad('Km_Na_i in component I_NaK (millimolar)');
LEGEND_CONSTANTS(:,25) = strpad('Km_K_o in component I_NaK (millimolar)');
LEGEND_CONSTANTS(:,26) = strpad('pPMCA in component I_PMCA (picoampere)');
LEGEND_CONSTANTS(:,27) = strpad('Km_Ca_i in component I_PMCA (millimolar)');
LEGEND_CONSTANTS(:,28) = strpad('Pup in component I_up (picoampere_millisecond)');
LEGEND_CONSTANTS(:,29) = strpad('Km_Ca_i in component I_up (millimolar)');
LEGEND_CONSTANTS(:,30) = strpad('Km_Ca_o in component I_up (millimolar)');
LEGEND_ALGEBRAIC(:,84) = strpad('p_E2 in component I_up (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,82) = strpad('p_E1 in component I_up (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,79) = strpad('p_E1Ca in component I_up (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,80) = strpad('p_E2Ca in component I_up (first_order_rate_constant)');
LEGEND_STATES(:,8) = strpad('Ca_up in component calcium_concentrations_in_the_SR (millimolar)');
LEGEND_STATES(:,9) = strpad('y in component I_up_y_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,86) = strpad('alpha_y in component I_up_y_gate (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,88) = strpad('beta_y in component I_up_y_gate (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,83) = strpad('I_tr in component I_tr (picoampere)');
LEGEND_CONSTANTS(:,31) = strpad('ptr in component I_tr (picoampere_per_millimolar)');
LEGEND_STATES(:,10) = strpad('Ca_rel in component calcium_concentrations_in_the_SR (millimolar)');
LEGEND_CONSTANTS(:,32) = strpad('pleak in component I_leak (picoampere_per_millimolar)');
LEGEND_CONSTANTS(:,33) = strpad('PIP3R in component I_IP3R (picoampere_per_millimolar)');
LEGEND_ALGEBRAIC(:,6) = strpad('kco in component I_IP3R (first_order_rate_constant)');
LEGEND_CONSTANTS(:,34) = strpad('koi in component I_IP3R (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,10) = strpad('kic in component I_IP3R (first_order_rate_constant)');
LEGEND_CONSTANTS(:,35) = strpad('kci in component I_IP3R (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,26) = strpad('SC_0 in component I_IP3R (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,39) = strpad('SC_3 in component I_IP3R (dimensionless)');
LEGEND_ALGEBRAIC(:,38) = strpad('SC_2 in component I_IP3R (dimensionless)');
LEGEND_ALGEBRAIC(:,28) = strpad('SC_1 in component I_IP3R (first_order_rate_constant)');
LEGEND_STATES(:,11) = strpad('m in component I_IP3R (dimensionless)');
LEGEND_STATES(:,12) = strpad('h in component I_IP3R (dimensionless)');
LEGEND_ALGEBRAIC(:,47) = strpad('m_original in component I_IP3R (dimensionless)');
LEGEND_ALGEBRAIC(:,48) = strpad('h_original in component I_IP3R (dimensionless)');
LEGEND_ALGEBRAIC(:,41) = strpad('stO in component I_IP3R (dimensionless)');
LEGEND_ALGEBRAIC(:,42) = strpad('stA in component I_IP3R (dimensionless)');
LEGEND_ALGEBRAIC(:,44) = strpad('ndO in component I_IP3R (dimensionless)');
LEGEND_ALGEBRAIC(:,45) = strpad('ndA in component I_IP3R (dimensionless)');
LEGEND_ALGEBRAIC(:,18) = strpad('OrgO_N4 in component I_IP3R (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,20) = strpad('OrgA_N4 in component I_IP3R (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,30) = strpad('state_c1 in component I_IP3R (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,32) = strpad('state_c2 in component I_IP3R (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,34) = strpad('state_c3 in component I_IP3R (first_order_rate_constant)');
LEGEND_CONSTANTS(:,48) = strpad('state_d1 in component I_IP3R (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,36) = strpad('state_d2 in component I_IP3R (first_order_rate_constant)');
LEGEND_CONSTANTS(:,49) = strpad('state_d3 in component I_IP3R (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,22) = strpad('state_bf in component I_IP3R (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,24) = strpad('state_sbf in component I_IP3R (per_millisecond2)');
LEGEND_CONSTANTS(:,42) = strpad('kab in component I_IP3R (first_order_rate_constant)');
LEGEND_CONSTANTS(:,45) = strpad('kba in component I_IP3R (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,13) = strpad('kbc in component I_IP3R (first_order_rate_constant)');
LEGEND_CONSTANTS(:,46) = strpad('kcb in component I_IP3R (first_order_rate_constant)');
LEGEND_CONSTANTS(:,47) = strpad('kac in component I_IP3R (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,16) = strpad('kca in component I_IP3R (first_order_rate_constant)');
LEGEND_CONSTANTS(:,36) = strpad('dt in component I_IP3R (millisecond)');
LEGEND_CONSTANTS(:,37) = strpad('dt_CellML in component I_IP3R (millisecond)');
LEGEND_STATES(:,13) = strpad('IP3 in component IP3_metabolism (millimolar)');
LEGEND_CONSTANTS(:,50) = strpad('Vup in component model_parameters (micrometre3)');
LEGEND_CONSTANTS(:,51) = strpad('Vrel in component model_parameters (micrometre3)');
LEGEND_STATES(:,14) = strpad('PIP2 in component IP3_metabolism (millimolar)');
LEGEND_ALGEBRAIC(:,7) = strpad('PIP2_IP3 in component IP3_metabolism (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,11) = strpad('IP3_PIP2 in component IP3_metabolism (first_order_rate_constant)');
LEGEND_CONSTANTS(:,38) = strpad('IP3_IP4 in component IP3_metabolism (first_order_rate_constant)');
LEGEND_CONSTANTS(:,39) = strpad('PIP2_IP4 in component IP3_metabolism (first_order_rate_constant)');
LEGEND_ALGEBRAIC(:,14) = strpad('IP4_PIP2 in component IP3_metabolism (first_order_rate_constant)');
LEGEND_CONSTANTS(:,40) = strpad('IP3total in component IP3_metabolism (millimolar)');
LEGEND_CONSTANTS(:,41) = strpad('Km_Ca_i in component IP3_metabolism (millimolar)');
LEGEND_RATES(:,1) = strpad('d/dt Vm in component membrane (millivolt)');
LEGEND_RATES(:,2) = strpad('d/dt Na_i in component internal_ion_concentrations (millimolar)');
LEGEND_RATES(:,3) = strpad('d/dt K_i in component internal_ion_concentrations (millimolar)');
LEGEND_RATES(:,4) = strpad('d/dt Cai_A in component internal_ion_concentrations (millimolar)');
LEGEND_RATES(:,5) = strpad('d/dt m in component I_CaL_m_gate (dimensionless)');
LEGEND_RATES(:,6) = strpad('d/dt h in component I_CaL_h_gate (dimensionless)');
LEGEND_RATES(:,7) = strpad('d/dt y in component I_NaCa_y_gate (dimensionless)');
LEGEND_RATES(:,9) = strpad('d/dt y in component I_up_y_gate (dimensionless)');
LEGEND_RATES(:,11) = strpad('d/dt m in component I_IP3R (dimensionless)');
LEGEND_RATES(:,12) = strpad('d/dt h in component I_IP3R (dimensionless)');
LEGEND_RATES(:,8) = strpad('d/dt Ca_up in component calcium_concentrations_in_the_SR (millimolar)');
LEGEND_RATES(:,10) = strpad('d/dt Ca_rel in component calcium_concentrations_in_the_SR (millimolar)');
LEGEND_RATES(:,13) = strpad('d/dt IP3 in component IP3_metabolism (millimolar)');
LEGEND_RATES(:,14) = strpad('d/dt PIP2 in component IP3_metabolism (millimolar)');
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) = -68.0;
CONSTANTS(:,1) = 0.0;
CONSTANTS(:,2) = 25.0;
STATES(:,2) = 5.4;
STATES(:,3) = 140.0;
STATES(:,4) = 0.0035;
CONSTANTS(:,3) = 715.5;
CONSTANTS(:,4) = 309.15;
CONSTANTS(:,5) = 8.314;
CONSTANTS(:,6) = 96.485;
CONSTANTS(:,7) = 140.0;
CONSTANTS(:,8) = 5.4;
CONSTANTS(:,9) = 1.8;
CONSTANTS(:,10) = 1.0;
CONSTANTS(:,11) = 1.0;
CONSTANTS(:,12) = 2.0;
CONSTANTS(:,13) = 4.32;
CONSTANTS(:,14) = 5.76;
STATES(:,5) = 0.0;
STATES(:,6) = 0.0;
CONSTANTS(:,15) = 7.92;
CONSTANTS(:,16) = 15.61;
CONSTANTS(:,17) = 0.003;
CONSTANTS(:,18) = 8.458;
CONSTANTS(:,19) = 670.0;
CONSTANTS(:,20) = 670000.0;
CONSTANTS(:,21) = 0.00138;
CONSTANTS(:,22) = 1.38;
STATES(:,7) = 0.9459136;
CONSTANTS(:,23) = 79.0;
CONSTANTS(:,24) = 11.0;
CONSTANTS(:,25) = 0.27;
CONSTANTS(:,26) = 927.4;
CONSTANTS(:,27) = 0.008;
CONSTANTS(:,28) = 7728.0;
CONSTANTS(:,29) = 0.08;
CONSTANTS(:,30) = 0.002;
STATES(:,8) = 4.6;
STATES(:,9) = 0.1;
CONSTANTS(:,31) = 20.5;
STATES(:,10) = 13.1;
CONSTANTS(:,32) = 0.45;
CONSTANTS(:,33) = 217.2;
CONSTANTS(:,34) = 0.02;
CONSTANTS(:,35) = 0.000849;
STATES(:,11) = 0.0;
STATES(:,12) = 1.0;
CONSTANTS(:,36) = 0.2;
CONSTANTS(:,37) = 0.01;
STATES(:,13) = 0.0002682;
STATES(:,14) = 0.002664;
CONSTANTS(:,38) = 0.004;
CONSTANTS(:,39) = 0.00;
CONSTANTS(:,40) = 0.0033;
CONSTANTS(:,41) = 0.00001;
CONSTANTS(:,42) = CONSTANTS(:,34);
CONSTANTS(:,43) = 1.00000./(1.00000+(1.00000+CONSTANTS(:,9)./CONSTANTS(:,22))./(power(CONSTANTS(:,7), 3.00000)./CONSTANTS(:,20)));
CONSTANTS(:,44) = 1.00000./(1.00000+(1.00000+power(CONSTANTS(:,7), 3.00000)./CONSTANTS(:,20))./(CONSTANTS(:,9)./CONSTANTS(:,22)));
CONSTANTS(:,45) = 0.00000;
CONSTANTS(:,46) = CONSTANTS(:,35);
CONSTANTS(:,47) = 0.00000;
CONSTANTS(:,48) = - (CONSTANTS(:,45)+CONSTANTS(:,42)+CONSTANTS(:,47));
CONSTANTS(:,49) = CONSTANTS(:,45);
CONSTANTS(:,50) = 0.100000.*CONSTANTS(:,3);
CONSTANTS(:,51) = 0.0100000.*CONSTANTS(:,3);
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({STATES(:,1)==-30.0000, 0.00217500.*((STATES(:,1)+30.0000)./(1.00000 - exp((STATES(:,1)+30.0000)./ - 2.50000))) }, 0.00418927);
ALGEBRAIC(:,4) = piecewise({STATES(:,1)==0.00000, 0.00157896 }, 0.000631500.*(STATES(:,1)./(exp(STATES(:,1)./2.50000) - 1.00000)));
RATES(:,5) = ALGEBRAIC(:,2).*(1.00000 - STATES(:,5)) - ALGEBRAIC(:,4).*STATES(:,5);
ALGEBRAIC(:,5) = piecewise({STATES(:,1)==-34.0000, 1.00010e-05 }, 1.77500e-06.*((STATES(:,1)+34.0000)./(exp((STATES(:,1)+34.0000)./5.63300) - 1.00000)));
ALGEBRAIC(:,1) = piecewise({STATES(:,4)<=0.00000, 1.00000e-12 }, STATES(:,4));
ALGEBRAIC(:,9) = 0.427000.*ALGEBRAIC(:,1).*((STATES(:,1)+64.0000)./(exp((STATES(:,1)+44.0000)./ - 4.16000)+1.00000));
RATES(:,6) = ALGEBRAIC(:,5).*(1.00000 - STATES(:,6)) - ALGEBRAIC(:,9).*STATES(:,6);
ALGEBRAIC(:,7) = 0.200000.*exp((STATES(:,1)+48.5000)./18.1000).*(ALGEBRAIC(:,1)./(ALGEBRAIC(:,1)+CONSTANTS(:,41)));
ALGEBRAIC(:,11) = 0.500000.*exp((STATES(:,1)+100.000)./-28.5000);
RATES(:,13) = ALGEBRAIC(:,7).*STATES(:,14) - (ALGEBRAIC(:,11)+CONSTANTS(:,38)).*STATES(:,13);
ALGEBRAIC(:,14) = 0.00350000.*exp((STATES(:,1)+100.000)./-25.5000);
RATES(:,14) = ( ALGEBRAIC(:,11).*STATES(:,13)+ ALGEBRAIC(:,14).*(CONSTANTS(:,40) - (STATES(:,13)+STATES(:,14)))) - (CONSTANTS(:,39)+ALGEBRAIC(:,7)).*STATES(:,14);
ALGEBRAIC(:,10) = 0.0250000.*power(STATES(:,13)./0.00100000, 3.00000).*(STATES(:,10)./1.00000);
ALGEBRAIC(:,13) = ALGEBRAIC(:,10);
ALGEBRAIC(:,6) = 0.147000.*power(ALGEBRAIC(:,1)./5.70000e-05, 3.00000);
ALGEBRAIC(:,16) = ALGEBRAIC(:,6);
ALGEBRAIC(:,22) = CONSTANTS(:,42)+CONSTANTS(:,45)+CONSTANTS(:,47)+ALGEBRAIC(:,16)+ALGEBRAIC(:,13)+CONSTANTS(:,46);
ALGEBRAIC(:,24) = power(ALGEBRAIC(:,22), 2.00000) - 4.00000.*( (ALGEBRAIC(:,13)+CONSTANTS(:,46)+ALGEBRAIC(:,16)).*(CONSTANTS(:,45)+CONSTANTS(:,42)+CONSTANTS(:,47)) - (CONSTANTS(:,47) - ALGEBRAIC(:,13)).*(ALGEBRAIC(:,16)+CONSTANTS(:,45)));
ALGEBRAIC(:,26) = (ALGEBRAIC(:,22)+power(abs(ALGEBRAIC(:,24)), 0.500000))./2.00000;
ALGEBRAIC(:,30) = CONSTANTS(:,47) - ALGEBRAIC(:,13);
ALGEBRAIC(:,32) = - (ALGEBRAIC(:,13)+CONSTANTS(:,46)+ALGEBRAIC(:,16));
ALGEBRAIC(:,34) = ALGEBRAIC(:,13);
ALGEBRAIC(:,36) = ALGEBRAIC(:,16) - CONSTANTS(:,45);
ALGEBRAIC(:,38) = ( ALGEBRAIC(:,32).*CONSTANTS(:,49) - ALGEBRAIC(:,34).*ALGEBRAIC(:,36))./( ALGEBRAIC(:,30).*ALGEBRAIC(:,36) - ALGEBRAIC(:,32).*CONSTANTS(:,48));
ALGEBRAIC(:,28) = (ALGEBRAIC(:,22) - power(abs(ALGEBRAIC(:,24)), 0.500000))./2.00000;
ALGEBRAIC(:,18) = ALGEBRAIC(:,6).*STATES(:,12) - CONSTANTS(:,34).*STATES(:,11);
ALGEBRAIC(:,41) = ((ALGEBRAIC(:,18)+ ALGEBRAIC(:,28).*STATES(:,11)) - ALGEBRAIC(:,38).*ALGEBRAIC(:,28))./(ALGEBRAIC(:,28) - ALGEBRAIC(:,26));
ALGEBRAIC(:,44) = ((ALGEBRAIC(:,18)+ ALGEBRAIC(:,26).*STATES(:,11)) - ALGEBRAIC(:,38).*ALGEBRAIC(:,26))./(ALGEBRAIC(:,26) - ALGEBRAIC(:,28));
ALGEBRAIC(:,47) = ALGEBRAIC(:,41).*exp( - ALGEBRAIC(:,26).*CONSTANTS(:,36))+ ALGEBRAIC(:,44).*exp( - ALGEBRAIC(:,28).*CONSTANTS(:,36))+ALGEBRAIC(:,38);
RATES(:,11) = (ALGEBRAIC(:,47) - STATES(:,11))./CONSTANTS(:,37);
ALGEBRAIC(:,39) = ( ALGEBRAIC(:,30).*CONSTANTS(:,49) - ALGEBRAIC(:,34).*CONSTANTS(:,48))./( ALGEBRAIC(:,32).*CONSTANTS(:,48) - ALGEBRAIC(:,30).*ALGEBRAIC(:,36));
ALGEBRAIC(:,20) = ALGEBRAIC(:,10).*(1.00000 - (STATES(:,12)+STATES(:,11))) - (CONSTANTS(:,35)+ALGEBRAIC(:,6)).*STATES(:,12);
ALGEBRAIC(:,42) = ((ALGEBRAIC(:,20)+ ALGEBRAIC(:,28).*STATES(:,12)) - ALGEBRAIC(:,39).*ALGEBRAIC(:,28))./(ALGEBRAIC(:,28) - ALGEBRAIC(:,26));
ALGEBRAIC(:,45) = ((ALGEBRAIC(:,20)+ ALGEBRAIC(:,26).*STATES(:,12)) - ALGEBRAIC(:,39).*ALGEBRAIC(:,26))./(ALGEBRAIC(:,26) - ALGEBRAIC(:,28));
ALGEBRAIC(:,48) = ALGEBRAIC(:,42).*exp( - ALGEBRAIC(:,26).*CONSTANTS(:,36))+ ALGEBRAIC(:,45).*exp( - ALGEBRAIC(:,28).*CONSTANTS(:,36))+ALGEBRAIC(:,39);
RATES(:,12) = (ALGEBRAIC(:,48) - STATES(:,12))./CONSTANTS(:,37);
ALGEBRAIC(:,70) = CONSTANTS(:,43).*exp( (0.320000 - 1.00000).*(STATES(:,1)./(( CONSTANTS(:,5).*CONSTANTS(:,4))./CONSTANTS(:,6))));
ALGEBRAIC(:,72) = 1.00000.*(ALGEBRAIC(:,70)+CONSTANTS(:,44));
ALGEBRAIC(:,67) = 1.00000./(1.00000+(1.00000+power(STATES(:,2), 3.00000)./CONSTANTS(:,19))./(ALGEBRAIC(:,1)./CONSTANTS(:,21)));
ALGEBRAIC(:,66) = 1.00000./(1.00000+(1.00000+ALGEBRAIC(:,1)./CONSTANTS(:,21))./(power(STATES(:,2), 3.00000)./CONSTANTS(:,19)));
ALGEBRAIC(:,68) = ALGEBRAIC(:,66).*exp( 0.320000.*(STATES(:,1)./(( CONSTANTS(:,5).*CONSTANTS(:,4))./CONSTANTS(:,6))));
ALGEBRAIC(:,69) = 1.00000.*(ALGEBRAIC(:,68)+ALGEBRAIC(:,67));
RATES(:,7) = ALGEBRAIC(:,72).*(1.00000 - STATES(:,7)) - ALGEBRAIC(:,69).*STATES(:,7);
ALGEBRAIC(:,71) = CONSTANTS(:,18).*( ALGEBRAIC(:,68).*STATES(:,7) - ALGEBRAIC(:,70).*(1.00000 - STATES(:,7)));
ALGEBRAIC(:,73) = (CONSTANTS(:,23)./(1.00000+power(CONSTANTS(:,24)./STATES(:,2), 1.36000))).*((1.00000 - power((STATES(:,1)+50.0000)./250.000, 2.00000))./(1.00000+CONSTANTS(:,25)./CONSTANTS(:,8)));
ALGEBRAIC(:,3) = (( CONSTANTS(:,10).*CONSTANTS(:,6).*STATES(:,1))./( CONSTANTS(:,5).*CONSTANTS(:,4))).*((STATES(:,2) - CONSTANTS(:,7).*exp(( - CONSTANTS(:,10).*CONSTANTS(:,6).*STATES(:,1))./( CONSTANTS(:,5).*CONSTANTS(:,4))))./(1.00000 - exp(( - CONSTANTS(:,10).*CONSTANTS(:,6).*STATES(:,1))./( CONSTANTS(:,5).*CONSTANTS(:,4)))));
ALGEBRAIC(:,46) = 5.00000e-05.*CONSTANTS(:,14).*ALGEBRAIC(:,3).*STATES(:,5).*STATES(:,6);
ALGEBRAIC(:,61) = 0.00170000+(1.00000 - 0.00170000)./(1.00000+CONSTANTS(:,17)./ALGEBRAIC(:,1));
ALGEBRAIC(:,64) = 0.400000.*CONSTANTS(:,16).*ALGEBRAIC(:,3).*ALGEBRAIC(:,61);
ALGEBRAIC(:,75) = ALGEBRAIC(:,46)+ALGEBRAIC(:,64)+ 3.00000.*ALGEBRAIC(:,73)+ 3.00000.*ALGEBRAIC(:,71);
RATES(:,2) = - ALGEBRAIC(:,75)./( CONSTANTS(:,10).*CONSTANTS(:,6).*CONSTANTS(:,3));
ALGEBRAIC(:,15) = (( CONSTANTS(:,5).*CONSTANTS(:,4))./( 1.00000.*CONSTANTS(:,6))).*log(CONSTANTS(:,8)./STATES(:,3));
ALGEBRAIC(:,17) = 3.30000.*exp((STATES(:,1) - (ALGEBRAIC(:,15)+6.00000))./15.0000);
ALGEBRAIC(:,19) = 26.0000.*exp((STATES(:,1) - (ALGEBRAIC(:,15)+6.00000))./52.0000);
ALGEBRAIC(:,21) = ALGEBRAIC(:,17)./(ALGEBRAIC(:,17)+ALGEBRAIC(:,19));
ALGEBRAIC(:,23) = 1.00000./(1.00000+ 0.100000.*exp((STATES(:,1) - ALGEBRAIC(:,15))./15.0000)+ 0.0480000.*exp((STATES(:,1) - ALGEBRAIC(:,15))./7.00000));
ALGEBRAIC(:,25) = 2.50000./( 4.70000.*exp((STATES(:,1) - ALGEBRAIC(:,15))./28.7000));
ALGEBRAIC(:,27) = 2.50000./( 6.00000.*exp((ALGEBRAIC(:,15) - STATES(:,1))./25.8000));
ALGEBRAIC(:,29) = ALGEBRAIC(:,25)+ALGEBRAIC(:,27);
ALGEBRAIC(:,31) = ALGEBRAIC(:,23).*ALGEBRAIC(:,29);
ALGEBRAIC(:,33) = ALGEBRAIC(:,29) - ALGEBRAIC(:,31);
ALGEBRAIC(:,35) = ALGEBRAIC(:,31)./( (ALGEBRAIC(:,31)+ALGEBRAIC(:,33)).*power(1.00000 - ALGEBRAIC(:,21), 3.00000));
ALGEBRAIC(:,37) = CONSTANTS(:,13).*power(CONSTANTS(:,8)./5.40000, 0.620000).*(STATES(:,1) - ALGEBRAIC(:,15)).*ALGEBRAIC(:,35).*ALGEBRAIC(:,21);
ALGEBRAIC(:,8) = (( CONSTANTS(:,11).*CONSTANTS(:,6).*STATES(:,1))./( CONSTANTS(:,5).*CONSTANTS(:,4))).*((STATES(:,3) - CONSTANTS(:,8).*exp(( - CONSTANTS(:,11).*CONSTANTS(:,6).*STATES(:,1))./( CONSTANTS(:,5).*CONSTANTS(:,4))))./(1.00000 - exp(( - CONSTANTS(:,11).*CONSTANTS(:,6).*STATES(:,1))./( CONSTANTS(:,5).*CONSTANTS(:,4)))));
ALGEBRAIC(:,43) = 0.00100000.*CONSTANTS(:,14).*ALGEBRAIC(:,8).*STATES(:,5).*STATES(:,6);
ALGEBRAIC(:,63) = 0.360000.*CONSTANTS(:,16).*ALGEBRAIC(:,8).*ALGEBRAIC(:,61);
ALGEBRAIC(:,76) = (ALGEBRAIC(:,37)+ALGEBRAIC(:,43)+ALGEBRAIC(:,63)) - 2.00000.*ALGEBRAIC(:,73);
RATES(:,3) = - ALGEBRAIC(:,76)./( CONSTANTS(:,11).*CONSTANTS(:,6).*CONSTANTS(:,3));
ALGEBRAIC(:,12) = (( CONSTANTS(:,12).*CONSTANTS(:,6).*STATES(:,1))./( CONSTANTS(:,5).*CONSTANTS(:,4))).*((ALGEBRAIC(:,1) - CONSTANTS(:,9).*exp(( - CONSTANTS(:,12).*CONSTANTS(:,6).*STATES(:,1))./( CONSTANTS(:,5).*CONSTANTS(:,4))))./(1.00000 - exp(( - CONSTANTS(:,12).*CONSTANTS(:,6).*STATES(:,1))./( CONSTANTS(:,5).*CONSTANTS(:,4)))));
ALGEBRAIC(:,40) = CONSTANTS(:,14).*ALGEBRAIC(:,12).*STATES(:,5).*STATES(:,6);
ALGEBRAIC(:,49) = ALGEBRAIC(:,40)+ALGEBRAIC(:,43)+ALGEBRAIC(:,46);
ALGEBRAIC(:,50) = 1.00000./(1.00000+exp( - (STATES(:,1)+23.0000)./6.10000));
ALGEBRAIC(:,51) = (4.43000 - 0.660000).*exp( - power(STATES(:,1)+150.000, 2.00000)./7118.00)+0.660000;
ALGEBRAIC(:,52) = ALGEBRAIC(:,50)./(ALGEBRAIC(:,51)+power(10.0000, -20.0000));
ALGEBRAIC(:,53) = (1.00000 - ALGEBRAIC(:,50))./(ALGEBRAIC(:,51)+power(10.0000, -20.0000));
ALGEBRAIC(:,54) = ALGEBRAIC(:,52)./(ALGEBRAIC(:,52)+ALGEBRAIC(:,53));
ALGEBRAIC(:,55) = 1.00000./(1.00000+exp( - (STATES(:,1)+75.0000)./ - 6.60000));
ALGEBRAIC(:,56) = (40.8000 - 0.840000).*exp( - power(STATES(:,1)+106.000, 2.00000)./2292.00)+0.840000;
ALGEBRAIC(:,57) = ALGEBRAIC(:,55)./(ALGEBRAIC(:,56)+power(10.0000, -20.0000));
ALGEBRAIC(:,58) = (1.00000 - ALGEBRAIC(:,55))./(ALGEBRAIC(:,56)+power(10.0000, -20.0000));
ALGEBRAIC(:,59) = ALGEBRAIC(:,57)./(ALGEBRAIC(:,57)+ALGEBRAIC(:,58));
ALGEBRAIC(:,60) = CONSTANTS(:,15).*ALGEBRAIC(:,12).*ALGEBRAIC(:,54).*ALGEBRAIC(:,59);
ALGEBRAIC(:,62) = CONSTANTS(:,16).*ALGEBRAIC(:,12).*ALGEBRAIC(:,61);
ALGEBRAIC(:,65) = ALGEBRAIC(:,62)+ALGEBRAIC(:,63)+ALGEBRAIC(:,64);
ALGEBRAIC(:,74) = CONSTANTS(:,26)./(1.00000+power(CONSTANTS(:,27)./ALGEBRAIC(:,1), 2.00000));
ALGEBRAIC(:,77) = ALGEBRAIC(:,71)+ALGEBRAIC(:,73)+ALGEBRAIC(:,74)+ALGEBRAIC(:,60)+ALGEBRAIC(:,65)+ALGEBRAIC(:,37)+ALGEBRAIC(:,49);
RATES(:,1) = - (ALGEBRAIC(:,77)+CONSTANTS(:,1))./CONSTANTS(:,2);
ALGEBRAIC(:,79) = 0.0100000./(1.00000+CONSTANTS(:,29)./STATES(:,8));
ALGEBRAIC(:,80) = 1.00000./(1.00000+CONSTANTS(:,30)./ALGEBRAIC(:,1));
ALGEBRAIC(:,81) = 1.50000.*CONSTANTS(:,28).*( ALGEBRAIC(:,80).*(1.00000 - STATES(:,9)) - ALGEBRAIC(:,79).*STATES(:,9));
ALGEBRAIC(:,85) = CONSTANTS(:,32).*(STATES(:,8) - ALGEBRAIC(:,1));
ALGEBRAIC(:,83) = 2.80000.*CONSTANTS(:,31).*(STATES(:,8) - STATES(:,10));
RATES(:,8) = (ALGEBRAIC(:,81) - (ALGEBRAIC(:,83)+ALGEBRAIC(:,85)))./( CONSTANTS(:,12).*CONSTANTS(:,50).*CONSTANTS(:,6));
ALGEBRAIC(:,78) = (ALGEBRAIC(:,40)+ALGEBRAIC(:,60)+ALGEBRAIC(:,62)+ALGEBRAIC(:,74)) - 2.00000.*ALGEBRAIC(:,71);
ALGEBRAIC(:,87) = CONSTANTS(:,33).*(STATES(:,10) - ALGEBRAIC(:,1)).*STATES(:,11);
RATES(:,4) = - ((ALGEBRAIC(:,78)+ALGEBRAIC(:,81)) - (ALGEBRAIC(:,87)+ALGEBRAIC(:,85)))./( CONSTANTS(:,12).*CONSTANTS(:,6).*CONSTANTS(:,3));
ALGEBRAIC(:,84) = 0.0100000./(1.00000+ALGEBRAIC(:,1)./CONSTANTS(:,30));
ALGEBRAIC(:,86) = ALGEBRAIC(:,80)+ALGEBRAIC(:,84);
ALGEBRAIC(:,82) = 1.00000./(1.00000+STATES(:,8)./CONSTANTS(:,29));
ALGEBRAIC(:,88) = ALGEBRAIC(:,79)+ALGEBRAIC(:,82);
RATES(:,9) = ALGEBRAIC(:,86).*(1.00000 - STATES(:,9)) - ALGEBRAIC(:,88).*STATES(:,9);
RATES(:,10) = (ALGEBRAIC(:,83) - ALGEBRAIC(:,87))./( CONSTANTS(:,12).*CONSTANTS(:,51).*CONSTANTS(:,6));
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({STATES(:,1)==-30.0000, 0.00217500.*((STATES(:,1)+30.0000)./(1.00000 - exp((STATES(:,1)+30.0000)./ - 2.50000))) }, 0.00418927);
ALGEBRAIC(:,4) = piecewise({STATES(:,1)==0.00000, 0.00157896 }, 0.000631500.*(STATES(:,1)./(exp(STATES(:,1)./2.50000) - 1.00000)));
ALGEBRAIC(:,5) = piecewise({STATES(:,1)==-34.0000, 1.00010e-05 }, 1.77500e-06.*((STATES(:,1)+34.0000)./(exp((STATES(:,1)+34.0000)./5.63300) - 1.00000)));
ALGEBRAIC(:,1) = piecewise({STATES(:,4)<=0.00000, 1.00000e-12 }, STATES(:,4));
ALGEBRAIC(:,9) = 0.427000.*ALGEBRAIC(:,1).*((STATES(:,1)+64.0000)./(exp((STATES(:,1)+44.0000)./ - 4.16000)+1.00000));
ALGEBRAIC(:,7) = 0.200000.*exp((STATES(:,1)+48.5000)./18.1000).*(ALGEBRAIC(:,1)./(ALGEBRAIC(:,1)+CONSTANTS(:,41)));
ALGEBRAIC(:,11) = 0.500000.*exp((STATES(:,1)+100.000)./-28.5000);
ALGEBRAIC(:,14) = 0.00350000.*exp((STATES(:,1)+100.000)./-25.5000);
ALGEBRAIC(:,10) = 0.0250000.*power(STATES(:,13)./0.00100000, 3.00000).*(STATES(:,10)./1.00000);
ALGEBRAIC(:,13) = ALGEBRAIC(:,10);
ALGEBRAIC(:,6) = 0.147000.*power(ALGEBRAIC(:,1)./5.70000e-05, 3.00000);
ALGEBRAIC(:,16) = ALGEBRAIC(:,6);
ALGEBRAIC(:,22) = CONSTANTS(:,42)+CONSTANTS(:,45)+CONSTANTS(:,47)+ALGEBRAIC(:,16)+ALGEBRAIC(:,13)+CONSTANTS(:,46);
ALGEBRAIC(:,24) = power(ALGEBRAIC(:,22), 2.00000) - 4.00000.*( (ALGEBRAIC(:,13)+CONSTANTS(:,46)+ALGEBRAIC(:,16)).*(CONSTANTS(:,45)+CONSTANTS(:,42)+CONSTANTS(:,47)) - (CONSTANTS(:,47) - ALGEBRAIC(:,13)).*(ALGEBRAIC(:,16)+CONSTANTS(:,45)));
ALGEBRAIC(:,26) = (ALGEBRAIC(:,22)+power(abs(ALGEBRAIC(:,24)), 0.500000))./2.00000;
ALGEBRAIC(:,30) = CONSTANTS(:,47) - ALGEBRAIC(:,13);
ALGEBRAIC(:,32) = - (ALGEBRAIC(:,13)+CONSTANTS(:,46)+ALGEBRAIC(:,16));
ALGEBRAIC(:,34) = ALGEBRAIC(:,13);
ALGEBRAIC(:,36) = ALGEBRAIC(:,16) - CONSTANTS(:,45);
ALGEBRAIC(:,38) = ( ALGEBRAIC(:,32).*CONSTANTS(:,49) - ALGEBRAIC(:,34).*ALGEBRAIC(:,36))./( ALGEBRAIC(:,30).*ALGEBRAIC(:,36) - ALGEBRAIC(:,32).*CONSTANTS(:,48));
ALGEBRAIC(:,28) = (ALGEBRAIC(:,22) - power(abs(ALGEBRAIC(:,24)), 0.500000))./2.00000;
ALGEBRAIC(:,18) = ALGEBRAIC(:,6).*STATES(:,12) - CONSTANTS(:,34).*STATES(:,11);
ALGEBRAIC(:,41) = ((ALGEBRAIC(:,18)+ ALGEBRAIC(:,28).*STATES(:,11)) - ALGEBRAIC(:,38).*ALGEBRAIC(:,28))./(ALGEBRAIC(:,28) - ALGEBRAIC(:,26));
ALGEBRAIC(:,44) = ((ALGEBRAIC(:,18)+ ALGEBRAIC(:,26).*STATES(:,11)) - ALGEBRAIC(:,38).*ALGEBRAIC(:,26))./(ALGEBRAIC(:,26) - ALGEBRAIC(:,28));
ALGEBRAIC(:,47) = ALGEBRAIC(:,41).*exp( - ALGEBRAIC(:,26).*CONSTANTS(:,36))+ ALGEBRAIC(:,44).*exp( - ALGEBRAIC(:,28).*CONSTANTS(:,36))+ALGEBRAIC(:,38);
ALGEBRAIC(:,39) = ( ALGEBRAIC(:,30).*CONSTANTS(:,49) - ALGEBRAIC(:,34).*CONSTANTS(:,48))./( ALGEBRAIC(:,32).*CONSTANTS(:,48) - ALGEBRAIC(:,30).*ALGEBRAIC(:,36));
ALGEBRAIC(:,20) = ALGEBRAIC(:,10).*(1.00000 - (STATES(:,12)+STATES(:,11))) - (CONSTANTS(:,35)+ALGEBRAIC(:,6)).*STATES(:,12);
ALGEBRAIC(:,42) = ((ALGEBRAIC(:,20)+ ALGEBRAIC(:,28).*STATES(:,12)) - ALGEBRAIC(:,39).*ALGEBRAIC(:,28))./(ALGEBRAIC(:,28) - ALGEBRAIC(:,26));
ALGEBRAIC(:,45) = ((ALGEBRAIC(:,20)+ ALGEBRAIC(:,26).*STATES(:,12)) - ALGEBRAIC(:,39).*ALGEBRAIC(:,26))./(ALGEBRAIC(:,26) - ALGEBRAIC(:,28));
ALGEBRAIC(:,48) = ALGEBRAIC(:,42).*exp( - ALGEBRAIC(:,26).*CONSTANTS(:,36))+ ALGEBRAIC(:,45).*exp( - ALGEBRAIC(:,28).*CONSTANTS(:,36))+ALGEBRAIC(:,39);
ALGEBRAIC(:,70) = CONSTANTS(:,43).*exp( (0.320000 - 1.00000).*(STATES(:,1)./(( CONSTANTS(:,5).*CONSTANTS(:,4))./CONSTANTS(:,6))));
ALGEBRAIC(:,72) = 1.00000.*(ALGEBRAIC(:,70)+CONSTANTS(:,44));
ALGEBRAIC(:,67) = 1.00000./(1.00000+(1.00000+power(STATES(:,2), 3.00000)./CONSTANTS(:,19))./(ALGEBRAIC(:,1)./CONSTANTS(:,21)));
ALGEBRAIC(:,66) = 1.00000./(1.00000+(1.00000+ALGEBRAIC(:,1)./CONSTANTS(:,21))./(power(STATES(:,2), 3.00000)./CONSTANTS(:,19)));
ALGEBRAIC(:,68) = ALGEBRAIC(:,66).*exp( 0.320000.*(STATES(:,1)./(( CONSTANTS(:,5).*CONSTANTS(:,4))./CONSTANTS(:,6))));
ALGEBRAIC(:,69) = 1.00000.*(ALGEBRAIC(:,68)+ALGEBRAIC(:,67));
ALGEBRAIC(:,71) = CONSTANTS(:,18).*( ALGEBRAIC(:,68).*STATES(:,7) - ALGEBRAIC(:,70).*(1.00000 - STATES(:,7)));
ALGEBRAIC(:,73) = (CONSTANTS(:,23)./(1.00000+power(CONSTANTS(:,24)./STATES(:,2), 1.36000))).*((1.00000 - power((STATES(:,1)+50.0000)./250.000, 2.00000))./(1.00000+CONSTANTS(:,25)./CONSTANTS(:,8)));
ALGEBRAIC(:,3) = (( CONSTANTS(:,10).*CONSTANTS(:,6).*STATES(:,1))./( CONSTANTS(:,5).*CONSTANTS(:,4))).*((STATES(:,2) - CONSTANTS(:,7).*exp(( - CONSTANTS(:,10).*CONSTANTS(:,6).*STATES(:,1))./( CONSTANTS(:,5).*CONSTANTS(:,4))))./(1.00000 - exp(( - CONSTANTS(:,10).*CONSTANTS(:,6).*STATES(:,1))./( CONSTANTS(:,5).*CONSTANTS(:,4)))));
ALGEBRAIC(:,46) = 5.00000e-05.*CONSTANTS(:,14).*ALGEBRAIC(:,3).*STATES(:,5).*STATES(:,6);
ALGEBRAIC(:,61) = 0.00170000+(1.00000 - 0.00170000)./(1.00000+CONSTANTS(:,17)./ALGEBRAIC(:,1));
ALGEBRAIC(:,64) = 0.400000.*CONSTANTS(:,16).*ALGEBRAIC(:,3).*ALGEBRAIC(:,61);
ALGEBRAIC(:,75) = ALGEBRAIC(:,46)+ALGEBRAIC(:,64)+ 3.00000.*ALGEBRAIC(:,73)+ 3.00000.*ALGEBRAIC(:,71);
ALGEBRAIC(:,15) = (( CONSTANTS(:,5).*CONSTANTS(:,4))./( 1.00000.*CONSTANTS(:,6))).*log(CONSTANTS(:,8)./STATES(:,3));
ALGEBRAIC(:,17) = 3.30000.*exp((STATES(:,1) - (ALGEBRAIC(:,15)+6.00000))./15.0000);
ALGEBRAIC(:,19) = 26.0000.*exp((STATES(:,1) - (ALGEBRAIC(:,15)+6.00000))./52.0000);
ALGEBRAIC(:,21) = ALGEBRAIC(:,17)./(ALGEBRAIC(:,17)+ALGEBRAIC(:,19));
ALGEBRAIC(:,23) = 1.00000./(1.00000+ 0.100000.*exp((STATES(:,1) - ALGEBRAIC(:,15))./15.0000)+ 0.0480000.*exp((STATES(:,1) - ALGEBRAIC(:,15))./7.00000));
ALGEBRAIC(:,25) = 2.50000./( 4.70000.*exp((STATES(:,1) - ALGEBRAIC(:,15))./28.7000));
ALGEBRAIC(:,27) = 2.50000./( 6.00000.*exp((ALGEBRAIC(:,15) - STATES(:,1))./25.8000));
ALGEBRAIC(:,29) = ALGEBRAIC(:,25)+ALGEBRAIC(:,27);
ALGEBRAIC(:,31) = ALGEBRAIC(:,23).*ALGEBRAIC(:,29);
ALGEBRAIC(:,33) = ALGEBRAIC(:,29) - ALGEBRAIC(:,31);
ALGEBRAIC(:,35) = ALGEBRAIC(:,31)./( (ALGEBRAIC(:,31)+ALGEBRAIC(:,33)).*power(1.00000 - ALGEBRAIC(:,21), 3.00000));
ALGEBRAIC(:,37) = CONSTANTS(:,13).*power(CONSTANTS(:,8)./5.40000, 0.620000).*(STATES(:,1) - ALGEBRAIC(:,15)).*ALGEBRAIC(:,35).*ALGEBRAIC(:,21);
ALGEBRAIC(:,8) = (( CONSTANTS(:,11).*CONSTANTS(:,6).*STATES(:,1))./( CONSTANTS(:,5).*CONSTANTS(:,4))).*((STATES(:,3) - CONSTANTS(:,8).*exp(( - CONSTANTS(:,11).*CONSTANTS(:,6).*STATES(:,1))./( CONSTANTS(:,5).*CONSTANTS(:,4))))./(1.00000 - exp(( - CONSTANTS(:,11).*CONSTANTS(:,6).*STATES(:,1))./( CONSTANTS(:,5).*CONSTANTS(:,4)))));
ALGEBRAIC(:,43) = 0.00100000.*CONSTANTS(:,14).*ALGEBRAIC(:,8).*STATES(:,5).*STATES(:,6);
ALGEBRAIC(:,63) = 0.360000.*CONSTANTS(:,16).*ALGEBRAIC(:,8).*ALGEBRAIC(:,61);
ALGEBRAIC(:,76) = (ALGEBRAIC(:,37)+ALGEBRAIC(:,43)+ALGEBRAIC(:,63)) - 2.00000.*ALGEBRAIC(:,73);
ALGEBRAIC(:,12) = (( CONSTANTS(:,12).*CONSTANTS(:,6).*STATES(:,1))./( CONSTANTS(:,5).*CONSTANTS(:,4))).*((ALGEBRAIC(:,1) - CONSTANTS(:,9).*exp(( - CONSTANTS(:,12).*CONSTANTS(:,6).*STATES(:,1))./( CONSTANTS(:,5).*CONSTANTS(:,4))))./(1.00000 - exp(( - CONSTANTS(:,12).*CONSTANTS(:,6).*STATES(:,1))./( CONSTANTS(:,5).*CONSTANTS(:,4)))));
ALGEBRAIC(:,40) = CONSTANTS(:,14).*ALGEBRAIC(:,12).*STATES(:,5).*STATES(:,6);
ALGEBRAIC(:,49) = ALGEBRAIC(:,40)+ALGEBRAIC(:,43)+ALGEBRAIC(:,46);
ALGEBRAIC(:,50) = 1.00000./(1.00000+exp( - (STATES(:,1)+23.0000)./6.10000));
ALGEBRAIC(:,51) = (4.43000 - 0.660000).*exp( - power(STATES(:,1)+150.000, 2.00000)./7118.00)+0.660000;
ALGEBRAIC(:,52) = ALGEBRAIC(:,50)./(ALGEBRAIC(:,51)+power(10.0000, -20.0000));
ALGEBRAIC(:,53) = (1.00000 - ALGEBRAIC(:,50))./(ALGEBRAIC(:,51)+power(10.0000, -20.0000));
ALGEBRAIC(:,54) = ALGEBRAIC(:,52)./(ALGEBRAIC(:,52)+ALGEBRAIC(:,53));
ALGEBRAIC(:,55) = 1.00000./(1.00000+exp( - (STATES(:,1)+75.0000)./ - 6.60000));
ALGEBRAIC(:,56) = (40.8000 - 0.840000).*exp( - power(STATES(:,1)+106.000, 2.00000)./2292.00)+0.840000;
ALGEBRAIC(:,57) = ALGEBRAIC(:,55)./(ALGEBRAIC(:,56)+power(10.0000, -20.0000));
ALGEBRAIC(:,58) = (1.00000 - ALGEBRAIC(:,55))./(ALGEBRAIC(:,56)+power(10.0000, -20.0000));
ALGEBRAIC(:,59) = ALGEBRAIC(:,57)./(ALGEBRAIC(:,57)+ALGEBRAIC(:,58));
ALGEBRAIC(:,60) = CONSTANTS(:,15).*ALGEBRAIC(:,12).*ALGEBRAIC(:,54).*ALGEBRAIC(:,59);
ALGEBRAIC(:,62) = CONSTANTS(:,16).*ALGEBRAIC(:,12).*ALGEBRAIC(:,61);
ALGEBRAIC(:,65) = ALGEBRAIC(:,62)+ALGEBRAIC(:,63)+ALGEBRAIC(:,64);
ALGEBRAIC(:,74) = CONSTANTS(:,26)./(1.00000+power(CONSTANTS(:,27)./ALGEBRAIC(:,1), 2.00000));
ALGEBRAIC(:,77) = ALGEBRAIC(:,71)+ALGEBRAIC(:,73)+ALGEBRAIC(:,74)+ALGEBRAIC(:,60)+ALGEBRAIC(:,65)+ALGEBRAIC(:,37)+ALGEBRAIC(:,49);
ALGEBRAIC(:,79) = 0.0100000./(1.00000+CONSTANTS(:,29)./STATES(:,8));
ALGEBRAIC(:,80) = 1.00000./(1.00000+CONSTANTS(:,30)./ALGEBRAIC(:,1));
ALGEBRAIC(:,81) = 1.50000.*CONSTANTS(:,28).*( ALGEBRAIC(:,80).*(1.00000 - STATES(:,9)) - ALGEBRAIC(:,79).*STATES(:,9));
ALGEBRAIC(:,85) = CONSTANTS(:,32).*(STATES(:,8) - ALGEBRAIC(:,1));
ALGEBRAIC(:,83) = 2.80000.*CONSTANTS(:,31).*(STATES(:,8) - STATES(:,10));
ALGEBRAIC(:,78) = (ALGEBRAIC(:,40)+ALGEBRAIC(:,60)+ALGEBRAIC(:,62)+ALGEBRAIC(:,74)) - 2.00000.*ALGEBRAIC(:,71);
ALGEBRAIC(:,87) = CONSTANTS(:,33).*(STATES(:,10) - ALGEBRAIC(:,1)).*STATES(:,11);
ALGEBRAIC(:,84) = 0.0100000./(1.00000+ALGEBRAIC(:,1)./CONSTANTS(:,30));
ALGEBRAIC(:,86) = ALGEBRAIC(:,80)+ALGEBRAIC(:,84);
ALGEBRAIC(:,82) = 1.00000./(1.00000+STATES(:,8)./CONSTANTS(:,29));
ALGEBRAIC(:,88) = ALGEBRAIC(:,79)+ALGEBRAIC(:,82);
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