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 =64;
end
% There are a total of 19 entries in each of the rate and state variable arrays.
% There are a total of 73 entries in the constant variable array.
%
function [VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel()
% Create ALGEBRAIC of correct size
global algebraicVariableCount; algebraicVariableCount = getAlgebraicVariableCount();
% Initialise constants and state variables
[INIT_STATES, CONSTANTS] = initConsts;
% Set timespan to solve over
tspan = [0, 10];
% Set numerical accuracy options for ODE solver
options = odeset('RelTol', 1e-06, 'AbsTol', 1e-06, 'MaxStep', 1);
% Solve model with ODE solver
[VOI, STATES] = ode15s(@(VOI, STATES)computeRates(VOI, STATES, CONSTANTS), tspan, INIT_STATES, options);
% Compute algebraic variables
[RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS);
ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI);
% Plot state variables against variable of integration
[LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends();
figure();
plot(VOI, STATES);
xlabel(LEGEND_VOI);
l = legend(LEGEND_STATES);
set(l,'Interpreter','none');
end
function [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends()
LEGEND_STATES = ''; LEGEND_ALGEBRAIC = ''; LEGEND_VOI = ''; LEGEND_CONSTANTS = '';
LEGEND_VOI = strpad('t in component environment (ms)');
LEGEND_CONSTANTS(:,1) = strpad('R in component environment (mJ_per_mole_kelvin)');
LEGEND_CONSTANTS(:,2) = strpad('T in component environment (kelvin)');
LEGEND_CONSTANTS(:,3) = strpad('F in component environment (coulomb_per_mole)');
LEGEND_CONSTANTS(:,65) = strpad('V_tau in component environment (mV)');
LEGEND_CONSTANTS(:,4) = strpad('Ca_o in component environment (mM)');
LEGEND_CONSTANTS(:,5) = strpad('Na_o in component environment (mM)');
LEGEND_CONSTANTS(:,6) = strpad('K_o in component environment (mM)');
LEGEND_CONSTANTS(:,7) = strpad('dia in component environment (cm)');
LEGEND_CONSTANTS(:,62) = strpad('vol_cyt in component environment (pl)');
LEGEND_CONSTANTS(:,58) = strpad('vol_pmu in component environment (pl)');
LEGEND_CONSTANTS(:,8) = strpad('fr_cyt in component environment (dimensionless)');
LEGEND_ALGEBRAIC(:,1) = strpad('V in component Membrane (mV)');
LEGEND_ALGEBRAIC(:,2) = strpad('VD in component Membrane (dimensionless)');
LEGEND_CONSTANTS(:,9) = strpad('C_sp in component Membrane (pF_per_sqcm)');
LEGEND_STATES(:,1) = strpad('Ca_i in component Cytosol (mM)');
LEGEND_STATES(:,2) = strpad('Na_i in component Cytosol (mM)');
LEGEND_STATES(:,3) = strpad('K_i in component Cytosol (mM)');
LEGEND_CONSTANTS(:,69) = strpad('anoff in component Membrane (mM)');
LEGEND_ALGEBRAIC(:,4) = strpad('V_Ca in component Membrane (dimensionless)');
LEGEND_ALGEBRAIC(:,6) = strpad('V_Na in component Membrane (dimensionless)');
LEGEND_ALGEBRAIC(:,8) = strpad('V_K in component Membrane (dimensionless)');
LEGEND_CONSTANTS(:,67) = strpad('A_pmu in component Membrane (sqcm)');
LEGEND_CONSTANTS(:,64) = strpad('SVR_pmu in component Membrane (per_cm)');
LEGEND_CONSTANTS(:,10) = strpad('svr in component Membrane (dimensionless)');
LEGEND_CONSTANTS(:,70) = strpad('C_m in component Membrane (pF)');
LEGEND_CONSTANTS(:,11) = strpad('atp in component Cytosol (mM)');
LEGEND_ALGEBRAIC(:,64) = strpad('J_Ca in component calcium_dynamics (mM_per_ms)');
LEGEND_ALGEBRAIC(:,63) = strpad('J_Na in component sodium_dynamics (mM_per_ms)');
LEGEND_ALGEBRAIC(:,46) = strpad('J_K in component potassium_dynamics (mM_per_ms)');
LEGEND_ALGEBRAIC(:,62) = strpad('J_ca in component calcium_dynamics (mM_per_ms)');
LEGEND_ALGEBRAIC(:,21) = strpad('I_CaL in component L_type_Ca_channel (pA)');
LEGEND_ALGEBRAIC(:,22) = strpad('I_CaT in component T_type_Ca_channel (pA)');
LEGEND_ALGEBRAIC(:,23) = strpad('I_CaHVA in component HVA_Ca_channel (pA)');
LEGEND_ALGEBRAIC(:,50) = strpad('I_pmca in component PMCA (pA)');
LEGEND_ALGEBRAIC(:,60) = strpad('I_xm in component Membrane_NaCa (pA)');
LEGEND_ALGEBRAIC(:,17) = strpad('J_calb in component calcium_buffer_dynamics (mM_per_ms)');
LEGEND_ALGEBRAIC(:,19) = strpad('J_cam in component calcium_buffer_dynamics (mM_per_ms)');
LEGEND_ALGEBRAIC(:,25) = strpad('I_Na in component transient_Na_channel (pA)');
LEGEND_ALGEBRAIC(:,26) = strpad('I_Nalk in component Leak_Na_channel (pA)');
LEGEND_ALGEBRAIC(:,27) = strpad('I_NaHCN in component HCN_channel (pA)');
LEGEND_ALGEBRAIC(:,43) = strpad('I_nk in component sodium_pump (pA)');
LEGEND_ALGEBRAIC(:,37) = strpad('I_K in component potassium_dynamics (pA)');
LEGEND_ALGEBRAIC(:,30) = strpad('I_Ksk in component SK_K_channel (pA)');
LEGEND_ALGEBRAIC(:,32) = strpad('I_Kdr in component DR_K_channel (pA)');
LEGEND_ALGEBRAIC(:,34) = strpad('I_Ka in component Atype_K_channel (pA)');
LEGEND_ALGEBRAIC(:,36) = strpad('I_Kir in component IR_K_channel (pA)');
LEGEND_ALGEBRAIC(:,28) = strpad('I_KHCN in component HCN_channel (pA)');
LEGEND_STATES(:,4) = strpad('Calb in component calcium_buffer_dynamics (mM)');
LEGEND_STATES(:,5) = strpad('Cam in component calcium_buffer_dynamics (mM)');
LEGEND_CONSTANTS(:,12) = strpad('Calbtot in component calcium_buffer_dynamics (mM)');
LEGEND_CONSTANTS(:,13) = strpad('Camtot in component calcium_buffer_dynamics (mM)');
LEGEND_ALGEBRAIC(:,16) = strpad('CaCalb in component calcium_buffer_dynamics (mM)');
LEGEND_ALGEBRAIC(:,18) = strpad('CaCam in component calcium_buffer_dynamics (mM)');
LEGEND_CONSTANTS(:,14) = strpad('kcal_1 in component calcium_buffer_dynamics (per_mM_ms)');
LEGEND_CONSTANTS(:,15) = strpad('kcal_2 in component calcium_buffer_dynamics (per_ms)');
LEGEND_ALGEBRAIC(:,10) = strpad('kcam_cb in component calcium_buffer_dynamics (per_ms)');
LEGEND_CONSTANTS(:,16) = strpad('kcam_cd in component calcium_buffer_dynamics (per_ms)');
LEGEND_ALGEBRAIC(:,12) = strpad('kcam_nb in component calcium_buffer_dynamics (per_ms)');
LEGEND_CONSTANTS(:,17) = strpad('kcam_nd in component calcium_buffer_dynamics (per_ms)');
LEGEND_ALGEBRAIC(:,14) = strpad('alpha_cam in component calcium_buffer_dynamics (per_ms)');
LEGEND_ALGEBRAIC(:,15) = strpad('beta_cam in component calcium_buffer_dynamics (per_ms)');
LEGEND_STATES(:,6) = strpad('m_cal in component L_type_Ca_channel (dimensionless)');
LEGEND_ALGEBRAIC(:,20) = strpad('h_cal in component L_type_Ca_channel (dimensionless)');
LEGEND_CONSTANTS(:,18) = strpad('g_cal in component L_type_Ca_channel (pA_per_mM)');
LEGEND_STATES(:,7) = strpad('m_cat in component T_type_Ca_channel (dimensionless)');
LEGEND_STATES(:,8) = strpad('h_cat in component T_type_Ca_channel (dimensionless)');
LEGEND_CONSTANTS(:,19) = strpad('g_cat in component T_type_Ca_channel (pA_per_mM)');
LEGEND_STATES(:,9) = strpad('m_cah in component HVA_Ca_channel (dimensionless)');
LEGEND_STATES(:,10) = strpad('h_cah in component HVA_Ca_channel (dimensionless)');
LEGEND_CONSTANTS(:,20) = strpad('g_cah in component HVA_Ca_channel (pA_per_mM)');
LEGEND_CONSTANTS(:,21) = strpad('g_na in component transient_Na_channel (pA_per_mM)');
LEGEND_ALGEBRAIC(:,24) = strpad('O_na in component transient_Na_channel (dimensionless)');
LEGEND_STATES(:,11) = strpad('m_na in component transient_Na_channel (dimensionless)');
LEGEND_STATES(:,12) = strpad('h_na in component transient_Na_channel (dimensionless)');
LEGEND_CONSTANTS(:,22) = strpad('A_mna in component transient_Na_channel (per_ms)');
LEGEND_CONSTANTS(:,23) = strpad('B_mna in component transient_Na_channel (per_ms)');
LEGEND_CONSTANTS(:,24) = strpad('A_hna in component transient_Na_channel (per_ms)');
LEGEND_CONSTANTS(:,25) = strpad('B_hna in component transient_Na_channel (per_ms)');
LEGEND_CONSTANTS(:,26) = strpad('za_mna in component transient_Na_channel (dimensionless)');
LEGEND_CONSTANTS(:,27) = strpad('zb_mna in component transient_Na_channel (dimensionless)');
LEGEND_CONSTANTS(:,28) = strpad('za_hna in component transient_Na_channel (dimensionless)');
LEGEND_CONSTANTS(:,29) = strpad('zb_hna in component transient_Na_channel (dimensionless)');
LEGEND_CONSTANTS(:,30) = strpad('g_nalk in component Leak_Na_channel (pA_per_mM)');
LEGEND_CONSTANTS(:,31) = strpad('g_nahcn in component HCN_channel (pA_per_mM)');
LEGEND_STATES(:,13) = strpad('O_hcn in component HCN_channel (dimensionless)');
LEGEND_CONSTANTS(:,32) = strpad('g_khcn in component HCN_channel (pA_per_mM)');
LEGEND_ALGEBRAIC(:,9) = strpad('kf_hcn in component HCN_channel (per_ms)');
LEGEND_ALGEBRAIC(:,13) = strpad('kr_hcn in component HCN_channel (per_ms)');
LEGEND_ALGEBRAIC(:,3) = strpad('kf_free in component HCN_channel (per_ms)');
LEGEND_ALGEBRAIC(:,5) = strpad('kr_free in component HCN_channel (per_ms)');
LEGEND_ALGEBRAIC(:,7) = strpad('kf_bnd in component HCN_channel (per_ms)');
LEGEND_ALGEBRAIC(:,11) = strpad('kr_bnd in component HCN_channel (per_ms)');
LEGEND_CONSTANTS(:,68) = strpad('P_c in component HCN_channel (dimensionless)');
LEGEND_CONSTANTS(:,71) = strpad('P_o in component HCN_channel (dimensionless)');
LEGEND_CONSTANTS(:,33) = strpad('cAMP in component HCN_channel (mM)');
LEGEND_ALGEBRAIC(:,29) = strpad('O_sk in component SK_K_channel (dimensionless)');
LEGEND_CONSTANTS(:,34) = strpad('g_ksk in component SK_K_channel (pA_per_mM)');
LEGEND_ALGEBRAIC(:,31) = strpad('O_kdr in component DR_K_channel (dimensionless)');
LEGEND_STATES(:,14) = strpad('m_kdr in component DR_K_channel (dimensionless)');
LEGEND_CONSTANTS(:,35) = strpad('g_kdr in component DR_K_channel (pA_per_mV)');
LEGEND_ALGEBRAIC(:,33) = strpad('O_ka in component Atype_K_channel (dimensionless)');
LEGEND_STATES(:,15) = strpad('p_ka in component Atype_K_channel (dimensionless)');
LEGEND_STATES(:,16) = strpad('q_ka in component Atype_K_channel (dimensionless)');
LEGEND_CONSTANTS(:,36) = strpad('g_ka in component Atype_K_channel (pA_per_mV)');
LEGEND_ALGEBRAIC(:,35) = strpad('O_kir in component IR_K_channel (dimensionless)');
LEGEND_CONSTANTS(:,37) = strpad('g_kir in component IR_K_channel (pA_per_mV)');
LEGEND_ALGEBRAIC(:,38) = strpad('Na_eff in component sodium_pump (mM)');
LEGEND_STATES(:,17) = strpad('y_nk in component sodium_pump (dimensionless)');
LEGEND_ALGEBRAIC(:,41) = strpad('alpha_nk in component sodium_pump (per_ms)');
LEGEND_ALGEBRAIC(:,47) = strpad('beta_nk in component sodium_pump (per_ms)');
LEGEND_ALGEBRAIC(:,39) = strpad('P_E1Snk in component sodium_pump (dimensionless)');
LEGEND_ALGEBRAIC(:,42) = strpad('P_E2Snk in component sodium_pump (dimensionless)');
LEGEND_ALGEBRAIC(:,40) = strpad('P_E1Dnk in component sodium_pump (dimensionless)');
LEGEND_ALGEBRAIC(:,44) = strpad('P_E2Dnk in component sodium_pump (dimensionless)');
LEGEND_CONSTANTS(:,59) = strpad('k_1nk in component sodium_pump (per_ms)');
LEGEND_CONSTANTS(:,38) = strpad('k_2nk in component sodium_pump (per_ms)');
LEGEND_CONSTANTS(:,39) = strpad('k_3nk in component sodium_pump (per_ms)');
LEGEND_CONSTANTS(:,40) = strpad('k_4nk in component sodium_pump (per_ms)');
LEGEND_CONSTANTS(:,41) = strpad('K_nknai in component sodium_pump (mM)');
LEGEND_CONSTANTS(:,42) = strpad('K_nknao in component sodium_pump (mM)');
LEGEND_CONSTANTS(:,43) = strpad('K_nkki in component sodium_pump (mM)');
LEGEND_CONSTANTS(:,44) = strpad('K_nkko in component sodium_pump (mM)');
LEGEND_CONSTANTS(:,45) = strpad('k_nk in component sodium_pump (pA)');
LEGEND_STATES(:,18) = strpad('y_pc in component PMCA (dimensionless)');
LEGEND_ALGEBRAIC(:,45) = strpad('K_pmca in component PMCA (pA)');
LEGEND_CONSTANTS(:,60) = strpad('k_1pc in component PMCA (per_ms)');
LEGEND_CONSTANTS(:,46) = strpad('k_2pc in component PMCA (per_ms)');
LEGEND_CONSTANTS(:,47) = strpad('k_3pc in component PMCA (per_ms)');
LEGEND_CONSTANTS(:,48) = strpad('k_4pc in component PMCA (per_ms)');
LEGEND_ALGEBRAIC(:,49) = strpad('P_E1Spc in component PMCA (dimensionless)');
LEGEND_CONSTANTS(:,61) = strpad('P_E2Spc in component PMCA (dimensionless)');
LEGEND_ALGEBRAIC(:,51) = strpad('P_E1pc in component PMCA (dimensionless)');
LEGEND_CONSTANTS(:,63) = strpad('P_E2pc in component PMCA (dimensionless)');
LEGEND_ALGEBRAIC(:,53) = strpad('alpha_pc in component PMCA (per_ms)');
LEGEND_CONSTANTS(:,66) = strpad('beta_pc in component PMCA (per_ms)');
LEGEND_ALGEBRAIC(:,48) = strpad('K_pci in component PMCA (mM)');
LEGEND_CONSTANTS(:,49) = strpad('K_pco in component PMCA (mM)');
LEGEND_CONSTANTS(:,50) = strpad('k_pmca in component PMCA (dimensionless)');
LEGEND_CONSTANTS(:,73) = strpad('P_E2Dxm in component Membrane_NaCa (dimensionless)');
LEGEND_ALGEBRAIC(:,54) = strpad('P_E1Dxm in component Membrane_NaCa (dimensionless)');
LEGEND_ALGEBRAIC(:,52) = strpad('P_E1Sxm in component Membrane_NaCa (dimensionless)');
LEGEND_CONSTANTS(:,72) = strpad('P_E2Sxm in component Membrane_NaCa (dimensionless)');
LEGEND_ALGEBRAIC(:,55) = strpad('k_1xm in component Membrane_NaCa (per_ms)');
LEGEND_ALGEBRAIC(:,56) = strpad('k_2xm in component Membrane_NaCa (per_ms)');
LEGEND_ALGEBRAIC(:,57) = strpad('k_3xm in component Membrane_NaCa (per_ms)');
LEGEND_ALGEBRAIC(:,59) = strpad('k_4xm in component Membrane_NaCa (per_ms)');
LEGEND_ALGEBRAIC(:,61) = strpad('beta_xm in component Membrane_NaCa (per_ms)');
LEGEND_ALGEBRAIC(:,58) = strpad('alpha_xm in component Membrane_NaCa (per_ms)');
LEGEND_CONSTANTS(:,51) = strpad('K_xmnai in component Membrane_NaCa (mM)');
LEGEND_CONSTANTS(:,52) = strpad('K_xmnao in component Membrane_NaCa (mM)');
LEGEND_CONSTANTS(:,53) = strpad('K_xmcai in component Membrane_NaCa (mM)');
LEGEND_CONSTANTS(:,54) = strpad('K_xmcao in component Membrane_NaCa (mM)');
LEGEND_CONSTANTS(:,55) = strpad('delta_xmca in component Membrane_NaCa (dimensionless)');
LEGEND_CONSTANTS(:,56) = strpad('delta_xmna in component Membrane_NaCa (dimensionless)');
LEGEND_STATES(:,19) = strpad('y_xm in component Membrane_NaCa (dimensionless)');
LEGEND_CONSTANTS(:,57) = strpad('k_xm in component Membrane_NaCa (pA_ms)');
LEGEND_RATES(:,1) = strpad('d/dt Ca_i in component Cytosol (mM)');
LEGEND_RATES(:,2) = strpad('d/dt Na_i in component Cytosol (mM)');
LEGEND_RATES(:,3) = strpad('d/dt K_i in component Cytosol (mM)');
LEGEND_RATES(:,4) = strpad('d/dt Calb in component calcium_buffer_dynamics (mM)');
LEGEND_RATES(:,5) = strpad('d/dt Cam in component calcium_buffer_dynamics (mM)');
LEGEND_RATES(:,6) = strpad('d/dt m_cal in component L_type_Ca_channel (dimensionless)');
LEGEND_RATES(:,7) = strpad('d/dt m_cat in component T_type_Ca_channel (dimensionless)');
LEGEND_RATES(:,8) = strpad('d/dt h_cat in component T_type_Ca_channel (dimensionless)');
LEGEND_RATES(:,9) = strpad('d/dt m_cah in component HVA_Ca_channel (dimensionless)');
LEGEND_RATES(:,10) = strpad('d/dt h_cah in component HVA_Ca_channel (dimensionless)');
LEGEND_RATES(:,11) = strpad('d/dt m_na in component transient_Na_channel (dimensionless)');
LEGEND_RATES(:,12) = strpad('d/dt h_na in component transient_Na_channel (dimensionless)');
LEGEND_RATES(:,13) = strpad('d/dt O_hcn in component HCN_channel (dimensionless)');
LEGEND_RATES(:,14) = strpad('d/dt m_kdr in component DR_K_channel (dimensionless)');
LEGEND_RATES(:,15) = strpad('d/dt p_ka in component Atype_K_channel (dimensionless)');
LEGEND_RATES(:,16) = strpad('d/dt q_ka in component Atype_K_channel (dimensionless)');
LEGEND_RATES(:,17) = strpad('d/dt y_nk in component sodium_pump (dimensionless)');
LEGEND_RATES(:,18) = strpad('d/dt y_pc in component PMCA (dimensionless)');
LEGEND_RATES(:,19) = strpad('d/dt y_xm in component Membrane_NaCa (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 = [];
CONSTANTS(:,1) = 8314.472;
CONSTANTS(:,2) = 310.15;
CONSTANTS(:,3) = 96485.30929;
CONSTANTS(:,4) = 1.8;
CONSTANTS(:,5) = 137;
CONSTANTS(:,6) = 5.4;
CONSTANTS(:,7) = 30e-4;
CONSTANTS(:,8) = 1;
CONSTANTS(:,9) = 0.9e6;
STATES(:,1) = 0.00015;
STATES(:,2) = 6;
STATES(:,3) = 140;
CONSTANTS(:,10) = 6;
CONSTANTS(:,11) = 2;
STATES(:,4) = 0.0011;
STATES(:,5) = 0.0487;
CONSTANTS(:,12) = 0.002;
CONSTANTS(:,13) = 0.0489;
CONSTANTS(:,14) = 10;
CONSTANTS(:,15) = 2e-3;
CONSTANTS(:,16) = 0.003;
CONSTANTS(:,17) = 3;
STATES(:,6) = 0.0004;
CONSTANTS(:,18) = 1158.2;
STATES(:,7) = 0.1099;
STATES(:,8) = 0.5716;
CONSTANTS(:,19) = 10;
STATES(:,9) = 0.3021;
STATES(:,10) = 0.454;
CONSTANTS(:,20) = 78.5;
CONSTANTS(:,21) = 395.14;
STATES(:,11) = 0.0758;
STATES(:,12) = 0.2272;
CONSTANTS(:,22) = 1.9651;
CONSTANTS(:,23) = 0.0424;
CONSTANTS(:,24) = 9.566e-5;
CONSTANTS(:,25) = 0.5296;
CONSTANTS(:,26) = 1.7127;
CONSTANTS(:,27) = 1.5581;
CONSTANTS(:,28) = -2.4317;
CONSTANTS(:,29) = -1.1868;
CONSTANTS(:,30) = 0.0039;
CONSTANTS(:,31) = 3;
STATES(:,13) = 0;
CONSTANTS(:,32) = 10;
CONSTANTS(:,33) = 1e-5;
CONSTANTS(:,34) = 15;
STATES(:,14) = 0.0043;
CONSTANTS(:,35) = 10;
STATES(:,15) = 0.2577;
STATES(:,16) = 0.827;
CONSTANTS(:,36) = 0.2234;
CONSTANTS(:,37) = 5;
STATES(:,17) = 0.555;
CONSTANTS(:,38) = 0.04;
CONSTANTS(:,39) = 0.01;
CONSTANTS(:,40) = 0.165;
CONSTANTS(:,41) = 4.05;
CONSTANTS(:,42) = 69.8;
CONSTANTS(:,43) = 32.88;
CONSTANTS(:,44) = 0.258;
CONSTANTS(:,45) = 200;
STATES(:,18) = 0.001;
CONSTANTS(:,46) = 0.001;
CONSTANTS(:,47) = 0.001;
CONSTANTS(:,48) = 1;
CONSTANTS(:,49) = 2;
CONSTANTS(:,50) = 10;
CONSTANTS(:,51) = 8.75;
CONSTANTS(:,52) = 87.5;
CONSTANTS(:,53) = 0.00138;
CONSTANTS(:,54) = 1.38;
CONSTANTS(:,55) = 0.68;
CONSTANTS(:,56) = 0.32;
STATES(:,19) = 0.343;
CONSTANTS(:,57) = 25;
CONSTANTS(:,58) = ( (( pi.*power(CONSTANTS(:,7), 3.00000))./6.00000).*1.00000e+09)./( 1.00000.*1.00000.*1.00000);
CONSTANTS(:,59) = 0.370000./(1.00000+0.0940000./CONSTANTS(:,11));
CONSTANTS(:,60) = 1.00000./(1.00000+0.100000./CONSTANTS(:,11));
CONSTANTS(:,61) = 1.00000./(1.00000+CONSTANTS(:,49)./CONSTANTS(:,4));
CONSTANTS(:,62) = CONSTANTS(:,8).*CONSTANTS(:,58);
CONSTANTS(:,63) = 1.00000 - CONSTANTS(:,61);
CONSTANTS(:,64) = CONSTANTS(:,10)./CONSTANTS(:,7);
CONSTANTS(:,65) = ( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3);
CONSTANTS(:,66) = CONSTANTS(:,46).*CONSTANTS(:,61)+ CONSTANTS(:,48).*CONSTANTS(:,63);
CONSTANTS(:,67) = ( CONSTANTS(:,64).*CONSTANTS(:,58).*0.00100000.*0.00100000.*0.00100000)./1.00000;
CONSTANTS(:,68) = 1.00000./(1.00000+CONSTANTS(:,33)./0.00116300);
CONSTANTS(:,69) = ((( - 52.3100.*CONSTANTS(:,9).*CONSTANTS(:,67))./( CONSTANTS(:,3).*CONSTANTS(:,62)) - 2.00000.*(0.000150000 - CONSTANTS(:,4))) - (6.00000 - CONSTANTS(:,5))) - (140.000 - CONSTANTS(:,6));
CONSTANTS(:,70) = CONSTANTS(:,9).*CONSTANTS(:,67);
CONSTANTS(:,71) = 1.00000./(1.00000+CONSTANTS(:,33)./1.45000e-05);
CONSTANTS(:,72) = 1.00000./(1.00000+ (CONSTANTS(:,54)./CONSTANTS(:,4)).*(1.00000+power(CONSTANTS(:,5)./CONSTANTS(:,52), 3.00000)));
CONSTANTS(:,73) = 1.00000./(1.00000+ power(CONSTANTS(:,52)./CONSTANTS(:,5), 3.00000).*(1.00000+CONSTANTS(:,4)./CONSTANTS(:,54)));
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(:,1) = (( CONSTANTS(:,3).*CONSTANTS(:,62))./( CONSTANTS(:,9).*CONSTANTS(:,67))).*((((STATES(:,3) - CONSTANTS(:,6))+ 2.00000.*(STATES(:,1) - CONSTANTS(:,4))+STATES(:,2)) - CONSTANTS(:,5))+CONSTANTS(:,69));
RATES(:,6) = (1.00000./(1.00000+exp( - (ALGEBRAIC(:,1)+15.0000)./7.00000)) - STATES(:,6))./( 10.0000.*exp( - power((ALGEBRAIC(:,1)+86.4000)./23.2000, 2.00000))+0.943000);
RATES(:,7) = (1.00000./(1.00000+exp( - (ALGEBRAIC(:,1)+63.0000)./1.50000)) - STATES(:,7))./( 65.0000.*exp( - power((ALGEBRAIC(:,1)+68.0000)./6.00000, 2.00000))+12.0000);
RATES(:,8) = (1.00000./(1.00000+exp((ALGEBRAIC(:,1)+76.2000)./3.00000)) - STATES(:,8))./( 50.0000.*exp( - power((ALGEBRAIC(:,1)+72.0000)./10.0000, 2.00000))+10.0000);
RATES(:,9) = (1.00000./(1.00000+exp( - (ALGEBRAIC(:,1)+10.0000)./10.0000)) - STATES(:,9))./( 0.100000.*exp( - power((ALGEBRAIC(:,1)+62.0000)./13.0000, 2.00000))+0.0500000);
RATES(:,10) = (1.00000./(1.00000+exp((ALGEBRAIC(:,1)+48.0000)./5.00000)) - STATES(:,10))./( 0.500000.*exp( - power((ALGEBRAIC(:,1)+55.6000)./18.0000, 2.00000))+0.500000);
RATES(:,14) = (1.00000./(1.00000+exp( - (ALGEBRAIC(:,1)+25.0000)./12.0000)) - STATES(:,14))./(18.0000./(1.00000+exp((ALGEBRAIC(:,1)+39.0000)./8.00000))+1.00000);
RATES(:,15) = (1.00000./(1.00000+exp( - (ALGEBRAIC(:,1)+43.0000)./24.0000)) - STATES(:,15))./( 2.00000.*exp( - power((ALGEBRAIC(:,1)+50.0000)./23.4500, 2.00000))+1.10000);
RATES(:,16) = (1.00000./(1.00000+exp((ALGEBRAIC(:,1)+56.0000)./8.00000)) - STATES(:,16))./20.0000;
ALGEBRAIC(:,2) = ALGEBRAIC(:,1)./CONSTANTS(:,65);
RATES(:,11) = CONSTANTS(:,22).*exp( CONSTANTS(:,26).*ALGEBRAIC(:,2)).*(1.00000 - STATES(:,11)) - CONSTANTS(:,23).*exp( - CONSTANTS(:,27).*ALGEBRAIC(:,2)).*STATES(:,11);
RATES(:,12) = CONSTANTS(:,24).*exp( CONSTANTS(:,28).*ALGEBRAIC(:,2)).*(1.00000 - STATES(:,12)) - CONSTANTS(:,25).*exp( - CONSTANTS(:,29).*ALGEBRAIC(:,2)).*STATES(:,12);
ALGEBRAIC(:,3) = 0.00600000./(1.00000+exp((ALGEBRAIC(:,1)+87.7000)./6.45000));
ALGEBRAIC(:,7) = 0.0268000./(1.00000+exp((ALGEBRAIC(:,1)+94.2000)./13.3000));
ALGEBRAIC(:,9) = ALGEBRAIC(:,3).*CONSTANTS(:,68)+ ALGEBRAIC(:,7).*(1.00000 - CONSTANTS(:,68));
ALGEBRAIC(:,5) = 0.0800000./(1.00000+exp( - (ALGEBRAIC(:,1)+51.7000)./7.00000));
ALGEBRAIC(:,11) = 0.0800000./(1.00000+exp( - (ALGEBRAIC(:,1)+35.5000)./7.00000));
ALGEBRAIC(:,13) = ALGEBRAIC(:,5).*CONSTANTS(:,71)+ ALGEBRAIC(:,11).*(1.00000 - CONSTANTS(:,71));
RATES(:,13) = ALGEBRAIC(:,9).*(1.00000 - STATES(:,13)) - ALGEBRAIC(:,13).*STATES(:,13);
ALGEBRAIC(:,16) = CONSTANTS(:,12) - STATES(:,4);
ALGEBRAIC(:,17) = CONSTANTS(:,14).*STATES(:,4).*STATES(:,1) - CONSTANTS(:,15).*ALGEBRAIC(:,16);
RATES(:,4) = - ALGEBRAIC(:,17);
ALGEBRAIC(:,18) = CONSTANTS(:,13) - STATES(:,5);
ALGEBRAIC(:,10) = 12000.0.*power(STATES(:,1), 2.00000);
ALGEBRAIC(:,12) = 3.70000e+06.*power(STATES(:,1), 2.00000);
ALGEBRAIC(:,14) = ALGEBRAIC(:,10).*ALGEBRAIC(:,12).*(1.00000./(ALGEBRAIC(:,10)+CONSTANTS(:,17))+1.00000./(CONSTANTS(:,16)+CONSTANTS(:,17)));
ALGEBRAIC(:,15) = CONSTANTS(:,16).*CONSTANTS(:,17).*(1.00000./(ALGEBRAIC(:,10)+CONSTANTS(:,17))+1.00000./(CONSTANTS(:,16)+CONSTANTS(:,17)));
ALGEBRAIC(:,19) = ALGEBRAIC(:,14).*STATES(:,5) - ALGEBRAIC(:,15).*ALGEBRAIC(:,18);
RATES(:,5) = - ALGEBRAIC(:,19);
ALGEBRAIC(:,39) = 1.00000./(1.00000+ (CONSTANTS(:,41)./STATES(:,2)).*(1.00000+STATES(:,3)./CONSTANTS(:,43)));
ALGEBRAIC(:,38) = CONSTANTS(:,5).*exp( - 0.820000.*ALGEBRAIC(:,2));
ALGEBRAIC(:,42) = 1.00000./(1.00000+ (CONSTANTS(:,42)./ALGEBRAIC(:,38)).*(1.00000+CONSTANTS(:,6)./CONSTANTS(:,44)));
ALGEBRAIC(:,43) = CONSTANTS(:,45).*( CONSTANTS(:,59).*ALGEBRAIC(:,39).*STATES(:,17) - CONSTANTS(:,38).*ALGEBRAIC(:,42).*(1.00000 - STATES(:,17))).*1.00000;
ALGEBRAIC(:,8) = log(CONSTANTS(:,6)./STATES(:,3));
ALGEBRAIC(:,29) = power(STATES(:,1), 4.20000)./(power(0.000350000, 4.20000)+power(STATES(:,1), 4.20000));
ALGEBRAIC(:,30) = ( CONSTANTS(:,34).*ALGEBRAIC(:,29).*power(( STATES(:,3).*CONSTANTS(:,6)), 1.0 ./ 2).* sinh( 0.500000.*(ALGEBRAIC(:,2) - ALGEBRAIC(:,8))))./( sinh( 0.500000.*ALGEBRAIC(:,2))./( 0.500000.*ALGEBRAIC(:,2)));
ALGEBRAIC(:,31) = power(STATES(:,14), 3.00000);
ALGEBRAIC(:,32) = CONSTANTS(:,35).*ALGEBRAIC(:,31).*(ALGEBRAIC(:,1) - ALGEBRAIC(:,8).*CONSTANTS(:,65));
ALGEBRAIC(:,33) = power(STATES(:,15), 3.00000).*STATES(:,16);
ALGEBRAIC(:,34) = CONSTANTS(:,36).*ALGEBRAIC(:,33).*(ALGEBRAIC(:,1) - ALGEBRAIC(:,8).*CONSTANTS(:,65));
ALGEBRAIC(:,35) = 1.00000./(1.00000+exp((ALGEBRAIC(:,1)+90.0000)./12.1000));
ALGEBRAIC(:,36) = CONSTANTS(:,37).*ALGEBRAIC(:,35).*(ALGEBRAIC(:,1) - ALGEBRAIC(:,8).*CONSTANTS(:,65));
ALGEBRAIC(:,28) = ( CONSTANTS(:,32).*STATES(:,13).*power(( STATES(:,3).*CONSTANTS(:,6)), 1.0 ./ 2).* sinh( 0.500000.*(ALGEBRAIC(:,2) - ALGEBRAIC(:,8))))./( sinh( 0.500000.*ALGEBRAIC(:,2))./( 0.500000.*ALGEBRAIC(:,2)));
ALGEBRAIC(:,37) = ALGEBRAIC(:,30)+ALGEBRAIC(:,28)+ALGEBRAIC(:,34)+ALGEBRAIC(:,32)+ALGEBRAIC(:,36);
ALGEBRAIC(:,46) = ( - 1.00000./( CONSTANTS(:,3).*CONSTANTS(:,62))).*(ALGEBRAIC(:,37) - 2.00000.*ALGEBRAIC(:,43));
RATES(:,3) = ALGEBRAIC(:,46);
ALGEBRAIC(:,40) = 1.00000./(1.00000+ (CONSTANTS(:,43)./STATES(:,3)).*(1.00000+STATES(:,2)./CONSTANTS(:,41)));
ALGEBRAIC(:,41) = CONSTANTS(:,59).*ALGEBRAIC(:,39)+ CONSTANTS(:,39).*ALGEBRAIC(:,40);
ALGEBRAIC(:,44) = 1.00000./(1.00000+ (CONSTANTS(:,44)./CONSTANTS(:,6)).*(1.00000+ALGEBRAIC(:,38)./CONSTANTS(:,42)));
ALGEBRAIC(:,47) = CONSTANTS(:,38).*ALGEBRAIC(:,42)+ CONSTANTS(:,40).*ALGEBRAIC(:,44);
RATES(:,17) = ALGEBRAIC(:,47).*(1.00000 - STATES(:,17)) - ALGEBRAIC(:,41).*STATES(:,17);
ALGEBRAIC(:,48) = (173.600./(1.00000+ALGEBRAIC(:,18)./5.00000e-05)+6.40000).*1.00000e-05;
ALGEBRAIC(:,49) = 1.00000./(1.00000+ALGEBRAIC(:,48)./STATES(:,1));
ALGEBRAIC(:,51) = 1.00000 - ALGEBRAIC(:,49);
ALGEBRAIC(:,53) = CONSTANTS(:,60).*ALGEBRAIC(:,49)+ CONSTANTS(:,47).*ALGEBRAIC(:,51);
RATES(:,18) = CONSTANTS(:,66).*(1.00000 - STATES(:,18)) - ALGEBRAIC(:,53).*STATES(:,18);
ALGEBRAIC(:,56) = 1.00000.*exp( (1.00000 - CONSTANTS(:,55)).*ALGEBRAIC(:,2));
ALGEBRAIC(:,59) = 1.00000.*exp( - CONSTANTS(:,56).*ALGEBRAIC(:,2));
ALGEBRAIC(:,61) = ALGEBRAIC(:,56).*CONSTANTS(:,72)+ ALGEBRAIC(:,59).*CONSTANTS(:,73);
ALGEBRAIC(:,54) = 1.00000./(1.00000+ power(CONSTANTS(:,51)./STATES(:,2), 3.00000).*(1.00000+STATES(:,1)./CONSTANTS(:,53)));
ALGEBRAIC(:,52) = 1.00000./(1.00000+ (CONSTANTS(:,53)./STATES(:,1)).*(1.00000+power(STATES(:,2)./CONSTANTS(:,51), 3.00000)));
ALGEBRAIC(:,55) = 1.00000.*exp( - CONSTANTS(:,55).*ALGEBRAIC(:,2));
ALGEBRAIC(:,57) = 1.00000.*exp( (1.00000 - CONSTANTS(:,56)).*ALGEBRAIC(:,2));
ALGEBRAIC(:,58) = ALGEBRAIC(:,55).*ALGEBRAIC(:,52)+ ALGEBRAIC(:,57).*ALGEBRAIC(:,54);
RATES(:,19) = ALGEBRAIC(:,61).*(1.00000 - STATES(:,19)) - ALGEBRAIC(:,58).*STATES(:,19);
ALGEBRAIC(:,60) = CONSTANTS(:,57).*( ALGEBRAIC(:,57).*ALGEBRAIC(:,54).*STATES(:,19) - ALGEBRAIC(:,59).*CONSTANTS(:,73).*(1.00000 - STATES(:,19)));
ALGEBRAIC(:,6) = log(CONSTANTS(:,5)./STATES(:,2));
ALGEBRAIC(:,24) = power(STATES(:,11), 3.00000).*STATES(:,12);
ALGEBRAIC(:,25) = ( CONSTANTS(:,21).*ALGEBRAIC(:,24).*power(( STATES(:,2).*CONSTANTS(:,5)), 1.0 ./ 2).* sinh( 0.500000.*(ALGEBRAIC(:,2) - ALGEBRAIC(:,6))))./( sinh( 0.500000.*ALGEBRAIC(:,2))./( 0.500000.*ALGEBRAIC(:,2)));
ALGEBRAIC(:,26) = ( CONSTANTS(:,30).*power(( STATES(:,2).*CONSTANTS(:,5)), 1.0 ./ 2).* sinh( 0.500000.*(ALGEBRAIC(:,2) - ALGEBRAIC(:,6))))./( sinh( 0.500000.*ALGEBRAIC(:,2))./( 0.500000.*ALGEBRAIC(:,2)));
ALGEBRAIC(:,27) = ( CONSTANTS(:,31).*STATES(:,13).*power(( STATES(:,2).*CONSTANTS(:,5)), 1.0 ./ 2).* sinh( 0.500000.*(ALGEBRAIC(:,2) - ALGEBRAIC(:,6))))./( sinh( 0.500000.*ALGEBRAIC(:,2))./( 0.500000.*ALGEBRAIC(:,2)));
ALGEBRAIC(:,63) = ( - 1.00000./( CONSTANTS(:,3).*CONSTANTS(:,62))).*( 3.00000.*ALGEBRAIC(:,43)+ 3.00000.*ALGEBRAIC(:,60)+ALGEBRAIC(:,25)+ALGEBRAIC(:,26)+ALGEBRAIC(:,27));
RATES(:,2) = ALGEBRAIC(:,63);
ALGEBRAIC(:,4) = 0.500000.*log(CONSTANTS(:,4)./STATES(:,1));
ALGEBRAIC(:,20) = 0.000450000./(0.000450000+STATES(:,1));
ALGEBRAIC(:,21) = ( CONSTANTS(:,18).*STATES(:,6).*ALGEBRAIC(:,20).*power(( STATES(:,1).*CONSTANTS(:,4)), 1.0 ./ 2).* sinh(ALGEBRAIC(:,2) - ALGEBRAIC(:,4)))./( sinh(ALGEBRAIC(:,2))./ALGEBRAIC(:,2));
ALGEBRAIC(:,22) = ( CONSTANTS(:,19).*STATES(:,7).*STATES(:,8).*power(( STATES(:,1).*CONSTANTS(:,4)), 1.0 ./ 2).* sinh(ALGEBRAIC(:,2) - ALGEBRAIC(:,4)))./( sinh(ALGEBRAIC(:,2))./ALGEBRAIC(:,2));
ALGEBRAIC(:,23) = ( CONSTANTS(:,20).*STATES(:,9).*STATES(:,10).*power(( STATES(:,1).*CONSTANTS(:,4)), 1.0 ./ 2).* sinh(ALGEBRAIC(:,2) - ALGEBRAIC(:,4)))./( sinh(ALGEBRAIC(:,2))./ALGEBRAIC(:,2));
ALGEBRAIC(:,45) = CONSTANTS(:,50).*(( 10.5600.*ALGEBRAIC(:,18))./(ALGEBRAIC(:,18)+5.00000e-05)+1.20000);
ALGEBRAIC(:,50) = ALGEBRAIC(:,45).*( CONSTANTS(:,60).*ALGEBRAIC(:,49).*STATES(:,18) - CONSTANTS(:,46).*CONSTANTS(:,61).*(1.00000 - STATES(:,18))).*1.00000;
ALGEBRAIC(:,62) = ( - 1.00000./( 2.00000.*CONSTANTS(:,3).*CONSTANTS(:,62))).*((ALGEBRAIC(:,21)+ALGEBRAIC(:,22)+ALGEBRAIC(:,23)+ 2.00000.*ALGEBRAIC(:,50)) - 2.00000.*ALGEBRAIC(:,60));
ALGEBRAIC(:,64) = ALGEBRAIC(:,62) - (ALGEBRAIC(:,17)+ 4.00000.*ALGEBRAIC(:,19));
RATES(:,1) = ALGEBRAIC(:,64);
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(:,3).*CONSTANTS(:,62))./( CONSTANTS(:,9).*CONSTANTS(:,67))).*((((STATES(:,3) - CONSTANTS(:,6))+ 2.00000.*(STATES(:,1) - CONSTANTS(:,4))+STATES(:,2)) - CONSTANTS(:,5))+CONSTANTS(:,69));
ALGEBRAIC(:,2) = ALGEBRAIC(:,1)./CONSTANTS(:,65);
ALGEBRAIC(:,3) = 0.00600000./(1.00000+exp((ALGEBRAIC(:,1)+87.7000)./6.45000));
ALGEBRAIC(:,7) = 0.0268000./(1.00000+exp((ALGEBRAIC(:,1)+94.2000)./13.3000));
ALGEBRAIC(:,9) = ALGEBRAIC(:,3).*CONSTANTS(:,68)+ ALGEBRAIC(:,7).*(1.00000 - CONSTANTS(:,68));
ALGEBRAIC(:,5) = 0.0800000./(1.00000+exp( - (ALGEBRAIC(:,1)+51.7000)./7.00000));
ALGEBRAIC(:,11) = 0.0800000./(1.00000+exp( - (ALGEBRAIC(:,1)+35.5000)./7.00000));
ALGEBRAIC(:,13) = ALGEBRAIC(:,5).*CONSTANTS(:,71)+ ALGEBRAIC(:,11).*(1.00000 - CONSTANTS(:,71));
ALGEBRAIC(:,16) = CONSTANTS(:,12) - STATES(:,4);
ALGEBRAIC(:,17) = CONSTANTS(:,14).*STATES(:,4).*STATES(:,1) - CONSTANTS(:,15).*ALGEBRAIC(:,16);
ALGEBRAIC(:,18) = CONSTANTS(:,13) - STATES(:,5);
ALGEBRAIC(:,10) = 12000.0.*power(STATES(:,1), 2.00000);
ALGEBRAIC(:,12) = 3.70000e+06.*power(STATES(:,1), 2.00000);
ALGEBRAIC(:,14) = ALGEBRAIC(:,10).*ALGEBRAIC(:,12).*(1.00000./(ALGEBRAIC(:,10)+CONSTANTS(:,17))+1.00000./(CONSTANTS(:,16)+CONSTANTS(:,17)));
ALGEBRAIC(:,15) = CONSTANTS(:,16).*CONSTANTS(:,17).*(1.00000./(ALGEBRAIC(:,10)+CONSTANTS(:,17))+1.00000./(CONSTANTS(:,16)+CONSTANTS(:,17)));
ALGEBRAIC(:,19) = ALGEBRAIC(:,14).*STATES(:,5) - ALGEBRAIC(:,15).*ALGEBRAIC(:,18);
ALGEBRAIC(:,39) = 1.00000./(1.00000+ (CONSTANTS(:,41)./STATES(:,2)).*(1.00000+STATES(:,3)./CONSTANTS(:,43)));
ALGEBRAIC(:,38) = CONSTANTS(:,5).*exp( - 0.820000.*ALGEBRAIC(:,2));
ALGEBRAIC(:,42) = 1.00000./(1.00000+ (CONSTANTS(:,42)./ALGEBRAIC(:,38)).*(1.00000+CONSTANTS(:,6)./CONSTANTS(:,44)));
ALGEBRAIC(:,43) = CONSTANTS(:,45).*( CONSTANTS(:,59).*ALGEBRAIC(:,39).*STATES(:,17) - CONSTANTS(:,38).*ALGEBRAIC(:,42).*(1.00000 - STATES(:,17))).*1.00000;
ALGEBRAIC(:,8) = log(CONSTANTS(:,6)./STATES(:,3));
ALGEBRAIC(:,29) = power(STATES(:,1), 4.20000)./(power(0.000350000, 4.20000)+power(STATES(:,1), 4.20000));
ALGEBRAIC(:,30) = ( CONSTANTS(:,34).*ALGEBRAIC(:,29).*power(( STATES(:,3).*CONSTANTS(:,6)), 1.0 ./ 2).* sinh( 0.500000.*(ALGEBRAIC(:,2) - ALGEBRAIC(:,8))))./( sinh( 0.500000.*ALGEBRAIC(:,2))./( 0.500000.*ALGEBRAIC(:,2)));
ALGEBRAIC(:,31) = power(STATES(:,14), 3.00000);
ALGEBRAIC(:,32) = CONSTANTS(:,35).*ALGEBRAIC(:,31).*(ALGEBRAIC(:,1) - ALGEBRAIC(:,8).*CONSTANTS(:,65));
ALGEBRAIC(:,33) = power(STATES(:,15), 3.00000).*STATES(:,16);
ALGEBRAIC(:,34) = CONSTANTS(:,36).*ALGEBRAIC(:,33).*(ALGEBRAIC(:,1) - ALGEBRAIC(:,8).*CONSTANTS(:,65));
ALGEBRAIC(:,35) = 1.00000./(1.00000+exp((ALGEBRAIC(:,1)+90.0000)./12.1000));
ALGEBRAIC(:,36) = CONSTANTS(:,37).*ALGEBRAIC(:,35).*(ALGEBRAIC(:,1) - ALGEBRAIC(:,8).*CONSTANTS(:,65));
ALGEBRAIC(:,28) = ( CONSTANTS(:,32).*STATES(:,13).*power(( STATES(:,3).*CONSTANTS(:,6)), 1.0 ./ 2).* sinh( 0.500000.*(ALGEBRAIC(:,2) - ALGEBRAIC(:,8))))./( sinh( 0.500000.*ALGEBRAIC(:,2))./( 0.500000.*ALGEBRAIC(:,2)));
ALGEBRAIC(:,37) = ALGEBRAIC(:,30)+ALGEBRAIC(:,28)+ALGEBRAIC(:,34)+ALGEBRAIC(:,32)+ALGEBRAIC(:,36);
ALGEBRAIC(:,46) = ( - 1.00000./( CONSTANTS(:,3).*CONSTANTS(:,62))).*(ALGEBRAIC(:,37) - 2.00000.*ALGEBRAIC(:,43));
ALGEBRAIC(:,40) = 1.00000./(1.00000+ (CONSTANTS(:,43)./STATES(:,3)).*(1.00000+STATES(:,2)./CONSTANTS(:,41)));
ALGEBRAIC(:,41) = CONSTANTS(:,59).*ALGEBRAIC(:,39)+ CONSTANTS(:,39).*ALGEBRAIC(:,40);
ALGEBRAIC(:,44) = 1.00000./(1.00000+ (CONSTANTS(:,44)./CONSTANTS(:,6)).*(1.00000+ALGEBRAIC(:,38)./CONSTANTS(:,42)));
ALGEBRAIC(:,47) = CONSTANTS(:,38).*ALGEBRAIC(:,42)+ CONSTANTS(:,40).*ALGEBRAIC(:,44);
ALGEBRAIC(:,48) = (173.600./(1.00000+ALGEBRAIC(:,18)./5.00000e-05)+6.40000).*1.00000e-05;
ALGEBRAIC(:,49) = 1.00000./(1.00000+ALGEBRAIC(:,48)./STATES(:,1));
ALGEBRAIC(:,51) = 1.00000 - ALGEBRAIC(:,49);
ALGEBRAIC(:,53) = CONSTANTS(:,60).*ALGEBRAIC(:,49)+ CONSTANTS(:,47).*ALGEBRAIC(:,51);
ALGEBRAIC(:,56) = 1.00000.*exp( (1.00000 - CONSTANTS(:,55)).*ALGEBRAIC(:,2));
ALGEBRAIC(:,59) = 1.00000.*exp( - CONSTANTS(:,56).*ALGEBRAIC(:,2));
ALGEBRAIC(:,61) = ALGEBRAIC(:,56).*CONSTANTS(:,72)+ ALGEBRAIC(:,59).*CONSTANTS(:,73);
ALGEBRAIC(:,54) = 1.00000./(1.00000+ power(CONSTANTS(:,51)./STATES(:,2), 3.00000).*(1.00000+STATES(:,1)./CONSTANTS(:,53)));
ALGEBRAIC(:,52) = 1.00000./(1.00000+ (CONSTANTS(:,53)./STATES(:,1)).*(1.00000+power(STATES(:,2)./CONSTANTS(:,51), 3.00000)));
ALGEBRAIC(:,55) = 1.00000.*exp( - CONSTANTS(:,55).*ALGEBRAIC(:,2));
ALGEBRAIC(:,57) = 1.00000.*exp( (1.00000 - CONSTANTS(:,56)).*ALGEBRAIC(:,2));
ALGEBRAIC(:,58) = ALGEBRAIC(:,55).*ALGEBRAIC(:,52)+ ALGEBRAIC(:,57).*ALGEBRAIC(:,54);
ALGEBRAIC(:,60) = CONSTANTS(:,57).*( ALGEBRAIC(:,57).*ALGEBRAIC(:,54).*STATES(:,19) - ALGEBRAIC(:,59).*CONSTANTS(:,73).*(1.00000 - STATES(:,19)));
ALGEBRAIC(:,6) = log(CONSTANTS(:,5)./STATES(:,2));
ALGEBRAIC(:,24) = power(STATES(:,11), 3.00000).*STATES(:,12);
ALGEBRAIC(:,25) = ( CONSTANTS(:,21).*ALGEBRAIC(:,24).*power(( STATES(:,2).*CONSTANTS(:,5)), 1.0 ./ 2).* sinh( 0.500000.*(ALGEBRAIC(:,2) - ALGEBRAIC(:,6))))./( sinh( 0.500000.*ALGEBRAIC(:,2))./( 0.500000.*ALGEBRAIC(:,2)));
ALGEBRAIC(:,26) = ( CONSTANTS(:,30).*power(( STATES(:,2).*CONSTANTS(:,5)), 1.0 ./ 2).* sinh( 0.500000.*(ALGEBRAIC(:,2) - ALGEBRAIC(:,6))))./( sinh( 0.500000.*ALGEBRAIC(:,2))./( 0.500000.*ALGEBRAIC(:,2)));
ALGEBRAIC(:,27) = ( CONSTANTS(:,31).*STATES(:,13).*power(( STATES(:,2).*CONSTANTS(:,5)), 1.0 ./ 2).* sinh( 0.500000.*(ALGEBRAIC(:,2) - ALGEBRAIC(:,6))))./( sinh( 0.500000.*ALGEBRAIC(:,2))./( 0.500000.*ALGEBRAIC(:,2)));
ALGEBRAIC(:,63) = ( - 1.00000./( CONSTANTS(:,3).*CONSTANTS(:,62))).*( 3.00000.*ALGEBRAIC(:,43)+ 3.00000.*ALGEBRAIC(:,60)+ALGEBRAIC(:,25)+ALGEBRAIC(:,26)+ALGEBRAIC(:,27));
ALGEBRAIC(:,4) = 0.500000.*log(CONSTANTS(:,4)./STATES(:,1));
ALGEBRAIC(:,20) = 0.000450000./(0.000450000+STATES(:,1));
ALGEBRAIC(:,21) = ( CONSTANTS(:,18).*STATES(:,6).*ALGEBRAIC(:,20).*power(( STATES(:,1).*CONSTANTS(:,4)), 1.0 ./ 2).* sinh(ALGEBRAIC(:,2) - ALGEBRAIC(:,4)))./( sinh(ALGEBRAIC(:,2))./ALGEBRAIC(:,2));
ALGEBRAIC(:,22) = ( CONSTANTS(:,19).*STATES(:,7).*STATES(:,8).*power(( STATES(:,1).*CONSTANTS(:,4)), 1.0 ./ 2).* sinh(ALGEBRAIC(:,2) - ALGEBRAIC(:,4)))./( sinh(ALGEBRAIC(:,2))./ALGEBRAIC(:,2));
ALGEBRAIC(:,23) = ( CONSTANTS(:,20).*STATES(:,9).*STATES(:,10).*power(( STATES(:,1).*CONSTANTS(:,4)), 1.0 ./ 2).* sinh(ALGEBRAIC(:,2) - ALGEBRAIC(:,4)))./( sinh(ALGEBRAIC(:,2))./ALGEBRAIC(:,2));
ALGEBRAIC(:,45) = CONSTANTS(:,50).*(( 10.5600.*ALGEBRAIC(:,18))./(ALGEBRAIC(:,18)+5.00000e-05)+1.20000);
ALGEBRAIC(:,50) = ALGEBRAIC(:,45).*( CONSTANTS(:,60).*ALGEBRAIC(:,49).*STATES(:,18) - CONSTANTS(:,46).*CONSTANTS(:,61).*(1.00000 - STATES(:,18))).*1.00000;
ALGEBRAIC(:,62) = ( - 1.00000./( 2.00000.*CONSTANTS(:,3).*CONSTANTS(:,62))).*((ALGEBRAIC(:,21)+ALGEBRAIC(:,22)+ALGEBRAIC(:,23)+ 2.00000.*ALGEBRAIC(:,50)) - 2.00000.*ALGEBRAIC(:,60));
ALGEBRAIC(:,64) = ALGEBRAIC(:,62) - (ALGEBRAIC(:,17)+ 4.00000.*ALGEBRAIC(:,19));
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