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 =105;
end
% There are a total of 22 entries in each of the rate and state variable arrays.
% There are a total of 90 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 (ms)');
LEGEND_STATES(:,1) = strpad('V in component membrane (mV)');
LEGEND_CONSTANTS(:,1) = strpad('R in component membrane (mJ_per_mole_K)');
LEGEND_CONSTANTS(:,2) = strpad('T in component membrane (kelvin)');
LEGEND_CONSTANTS(:,3) = strpad('F in component membrane (C_per_mole)');
LEGEND_CONSTANTS(:,4) = strpad('Cm in component membrane (uF)');
LEGEND_ALGEBRAIC(:,12) = strpad('I_Stim in component membrane (uA)');
LEGEND_ALGEBRAIC(:,1) = strpad('stim_period in component membrane (ms)');
LEGEND_CONSTANTS(:,5) = strpad('stim_duration in component membrane (ms)');
LEGEND_CONSTANTS(:,6) = strpad('stim_amplitude in component membrane (uA)');
LEGEND_ALGEBRAIC(:,25) = strpad('i_Na in component pandit_sodium_current (uA)');
LEGEND_ALGEBRAIC(:,27) = strpad('i_t in component pandit_Ca_independent_transient_outward_K_current (uA)');
LEGEND_ALGEBRAIC(:,28) = strpad('i_ss in component pandit_steady_state_outward_K_current (uA)');
LEGEND_ALGEBRAIC(:,32) = strpad('i_f in component pandit_hyperpolarisation_activated_current (uA)');
LEGEND_ALGEBRAIC(:,29) = strpad('i_K1 in component pandit_inward_rectifier (uA)');
LEGEND_ALGEBRAIC(:,33) = strpad('i_B_Na in component pandit_background_currents (uA)');
LEGEND_ALGEBRAIC(:,34) = strpad('i_B_K in component pandit_background_currents (uA)');
LEGEND_ALGEBRAIC(:,35) = strpad('i_NaK in component pandit_sodium_potassium_pump (uA)');
LEGEND_ALGEBRAIC(:,85) = strpad('I_LCC in component convert_hinch (uA)');
LEGEND_ALGEBRAIC(:,86) = strpad('I_NaCa in component convert_hinch (uA)');
LEGEND_ALGEBRAIC(:,87) = strpad('I_pCa in component convert_hinch (uA)');
LEGEND_ALGEBRAIC(:,88) = strpad('I_CaB in component convert_hinch (uA)');
LEGEND_ALGEBRAIC(:,21) = strpad('FVRT in component membrane (dimensionless)');
LEGEND_ALGEBRAIC(:,22) = strpad('FVRT_Ca in component membrane (dimensionless)');
LEGEND_CONSTANTS(:,7) = strpad('V_myo in component cell_geometry (um3)');
LEGEND_CONSTANTS(:,8) = strpad('V_SR in component cell_geometry (um3)');
LEGEND_CONSTANTS(:,9) = strpad('V_myo_uL in component cell_geometry (uL)');
LEGEND_CONSTANTS(:,10) = strpad('V_SR_uL in component cell_geometry (uL)');
LEGEND_ALGEBRAIC(:,24) = strpad('E_Na in component pandit_sodium_current (mV)');
LEGEND_CONSTANTS(:,11) = strpad('g_Na in component pandit_sodium_current (mSi)');
LEGEND_CONSTANTS(:,80) = strpad('g_Na_endo in component pandit_sodium_current (mSi)');
LEGEND_STATES(:,2) = strpad('Na_i in component intracellular_ion_concentrations (mM)');
LEGEND_CONSTANTS(:,12) = strpad('Na_o in component pandit_standard_ionic_concentrations (mM)');
LEGEND_STATES(:,3) = strpad('m in component sodium_current_m_gate (dimensionless)');
LEGEND_STATES(:,4) = strpad('h in component sodium_current_h_gate (dimensionless)');
LEGEND_STATES(:,5) = strpad('j in component sodium_current_j_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,2) = strpad('m_infinity in component sodium_current_m_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,13) = strpad('tau_m in component sodium_current_m_gate (ms)');
LEGEND_ALGEBRAIC(:,3) = strpad('h_infinity in component sodium_current_h_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,14) = strpad('tau_h in component sodium_current_h_gate (ms)');
LEGEND_ALGEBRAIC(:,4) = strpad('j_infinity in component sodium_current_j_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,15) = strpad('tau_j in component sodium_current_j_gate (ms)');
LEGEND_ALGEBRAIC(:,26) = strpad('E_K in component pandit_Ca_independent_transient_outward_K_current (mV)');
LEGEND_CONSTANTS(:,13) = strpad('g_t in component pandit_Ca_independent_transient_outward_K_current (mSi)');
LEGEND_CONSTANTS(:,81) = strpad('g_t_endo in component pandit_Ca_independent_transient_outward_K_current (mSi)');
LEGEND_CONSTANTS(:,14) = strpad('a_endo in component pandit_Ca_independent_transient_outward_K_current (dimensionless)');
LEGEND_CONSTANTS(:,15) = strpad('b_endo in component pandit_Ca_independent_transient_outward_K_current (dimensionless)');
LEGEND_CONSTANTS(:,16) = strpad('K_o in component pandit_standard_ionic_concentrations (mM)');
LEGEND_STATES(:,6) = strpad('K_i in component intracellular_ion_concentrations (mM)');
LEGEND_STATES(:,7) = strpad('r in component Ca_independent_transient_outward_K_current_r_gate (dimensionless)');
LEGEND_STATES(:,8) = strpad('s in component Ca_independent_transient_outward_K_current_s_gate (dimensionless)');
LEGEND_STATES(:,9) = strpad('s_slow in component Ca_independent_transient_outward_K_current_s_slow_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,16) = strpad('tau_r in component Ca_independent_transient_outward_K_current_r_gate (ms)');
LEGEND_ALGEBRAIC(:,5) = strpad('r_infinity in component Ca_independent_transient_outward_K_current_r_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,17) = strpad('tau_s_endo in component Ca_independent_transient_outward_K_current_s_gate (ms)');
LEGEND_ALGEBRAIC(:,6) = strpad('s_infinity in component Ca_independent_transient_outward_K_current_s_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,18) = strpad('tau_s_slow_endo in component Ca_independent_transient_outward_K_current_s_slow_gate (ms)');
LEGEND_ALGEBRAIC(:,7) = strpad('s_slow_infinity in component Ca_independent_transient_outward_K_current_s_slow_gate (dimensionless)');
LEGEND_CONSTANTS(:,17) = strpad('g_ss in component pandit_steady_state_outward_K_current (mSi)');
LEGEND_STATES(:,10) = strpad('r_ss in component steady_state_outward_K_current_r_ss_gate (dimensionless)');
LEGEND_STATES(:,11) = strpad('s_ss in component steady_state_outward_K_current_s_ss_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,19) = strpad('tau_r_ss in component steady_state_outward_K_current_r_ss_gate (ms)');
LEGEND_ALGEBRAIC(:,8) = strpad('r_ss_infinity in component steady_state_outward_K_current_r_ss_gate (dimensionless)');
LEGEND_CONSTANTS(:,82) = strpad('tau_s_ss in component steady_state_outward_K_current_s_ss_gate (ms)');
LEGEND_ALGEBRAIC(:,9) = strpad('s_ss_infinity in component steady_state_outward_K_current_s_ss_gate (dimensionless)');
LEGEND_CONSTANTS(:,18) = strpad('g_K1 in component pandit_inward_rectifier (mSi)');
LEGEND_ALGEBRAIC(:,30) = strpad('i_f_Na in component pandit_hyperpolarisation_activated_current (uA)');
LEGEND_ALGEBRAIC(:,31) = strpad('i_f_K in component pandit_hyperpolarisation_activated_current (uA)');
LEGEND_CONSTANTS(:,19) = strpad('g_f in component pandit_hyperpolarisation_activated_current (mSi)');
LEGEND_CONSTANTS(:,20) = strpad('f_Na in component pandit_hyperpolarisation_activated_current (dimensionless)');
LEGEND_CONSTANTS(:,83) = strpad('f_K in component pandit_hyperpolarisation_activated_current (dimensionless)');
LEGEND_STATES(:,12) = strpad('y in component hyperpolarisation_activated_current_y_gate (dimensionless)');
LEGEND_ALGEBRAIC(:,20) = strpad('tau_y in component hyperpolarisation_activated_current_y_gate (ms)');
LEGEND_ALGEBRAIC(:,10) = strpad('y_infinity in component hyperpolarisation_activated_current_y_gate (dimensionless)');
LEGEND_CONSTANTS(:,21) = strpad('g_B_Na in component pandit_background_currents (mSi)');
LEGEND_CONSTANTS(:,22) = strpad('g_B_K in component pandit_background_currents (mSi)');
LEGEND_CONSTANTS(:,23) = strpad('i_NaK_max in component pandit_sodium_potassium_pump (uA)');
LEGEND_CONSTANTS(:,24) = strpad('K_m_K in component pandit_sodium_potassium_pump (mM)');
LEGEND_CONSTANTS(:,25) = strpad('K_m_Na in component pandit_sodium_potassium_pump (mM)');
LEGEND_CONSTANTS(:,84) = strpad('sigma in component pandit_sodium_potassium_pump (dimensionless)');
LEGEND_CONSTANTS(:,26) = strpad('Ca_o in component pandit_standard_ionic_concentrations (mM)');
LEGEND_CONSTANTS(:,27) = strpad('g_D in component hinch_CaRU (um3_per_ms)');
LEGEND_CONSTANTS(:,28) = strpad('J_R in component hinch_CaRU (um3_per_ms)');
LEGEND_CONSTANTS(:,29) = strpad('J_L in component hinch_CaRU (um3_per_ms)');
LEGEND_CONSTANTS(:,30) = strpad('N in component hinch_CaRU (dimensionless)');
LEGEND_STATES(:,13) = strpad('Ca_i in component intracellular_ion_concentrations (mM)');
LEGEND_STATES(:,14) = strpad('Ca_SR in component intracellular_ion_concentrations (mM)');
LEGEND_ALGEBRAIC(:,64) = strpad('I_RyR in component RyR_current (mM_per_ms)');
LEGEND_ALGEBRAIC(:,73) = strpad('I_LCC in component LCC_current (mM_per_ms)');
LEGEND_ALGEBRAIC(:,45) = strpad('C_oc in component DS_Calcium_Concentrations (mM)');
LEGEND_ALGEBRAIC(:,43) = strpad('C_co in component DS_Calcium_Concentrations (mM)');
LEGEND_CONSTANTS(:,31) = strpad('V_L in component CaRU_Transitions (mV)');
LEGEND_CONSTANTS(:,32) = strpad('del_VL in component CaRU_Transitions (mV)');
LEGEND_CONSTANTS(:,33) = strpad('phi_L in component CaRU_Transitions (dimensionless)');
LEGEND_CONSTANTS(:,34) = strpad('t_L in component CaRU_Transitions (ms)');
LEGEND_CONSTANTS(:,35) = strpad('tau_L in component CaRU_Transitions (ms)');
LEGEND_CONSTANTS(:,85) = strpad('t_R in component CaRU_Transitions (ms)');
LEGEND_CONSTANTS(:,36) = strpad('tau_R in component CaRU_Transitions (ms)');
LEGEND_CONSTANTS(:,37) = strpad('phi_R in component CaRU_Transitions (dimensionless)');
LEGEND_CONSTANTS(:,38) = strpad('theta_R in component CaRU_Transitions (dimensionless)');
LEGEND_CONSTANTS(:,39) = strpad('K_RyR in component CaRU_Transitions (mM)');
LEGEND_CONSTANTS(:,40) = strpad('K_L in component CaRU_Transitions (mM)');
LEGEND_CONSTANTS(:,41) = strpad('a in component CaRU_Transitions (dimensionless)');
LEGEND_CONSTANTS(:,42) = strpad('b in component CaRU_Transitions (dimensionless)');
LEGEND_CONSTANTS(:,43) = strpad('c in component CaRU_Transitions (dimensionless)');
LEGEND_CONSTANTS(:,44) = strpad('d in component CaRU_Transitions (dimensionless)');
LEGEND_ALGEBRAIC(:,36) = strpad('expVL in component CaRU_Transitions (dimensionless)');
LEGEND_ALGEBRAIC(:,37) = strpad('alpha_p in component CaRU_Transitions (per_ms)');
LEGEND_CONSTANTS(:,88) = strpad('alpha_m in component CaRU_Transitions (per_ms)');
LEGEND_ALGEBRAIC(:,46) = strpad('beta_poc in component CaRU_Transitions (per_ms)');
LEGEND_ALGEBRAIC(:,38) = strpad('beta_pcc in component CaRU_Transitions (per_ms)');
LEGEND_CONSTANTS(:,90) = strpad('beta_m in component CaRU_Transitions (per_ms)');
LEGEND_ALGEBRAIC(:,44) = strpad('epsilon_pco in component CaRU_Transitions (per_ms)');
LEGEND_ALGEBRAIC(:,39) = strpad('epsilon_pcc in component CaRU_Transitions (per_ms)');
LEGEND_ALGEBRAIC(:,40) = strpad('epsilon_m in component CaRU_Transitions (per_ms)');
LEGEND_ALGEBRAIC(:,47) = strpad('mu_poc in component CaRU_Transitions (per_ms)');
LEGEND_ALGEBRAIC(:,41) = strpad('mu_pcc in component CaRU_Transitions (per_ms)');
LEGEND_ALGEBRAIC(:,48) = strpad('mu_moc in component CaRU_Transitions (per_ms)');
LEGEND_ALGEBRAIC(:,42) = strpad('mu_mcc in component CaRU_Transitions (per_ms)');
LEGEND_ALGEBRAIC(:,11) = strpad('C_cc in component DS_Calcium_Concentrations (mM)');
LEGEND_ALGEBRAIC(:,23) = strpad('C_oo in component DS_Calcium_Concentrations (mM)');
LEGEND_ALGEBRAIC(:,52) = strpad('J_Loo in component LCC_and_RyR_fluxes (um3_mM_per_ms)');
LEGEND_ALGEBRAIC(:,51) = strpad('J_Loc in component LCC_and_RyR_fluxes (um3_mM_per_ms)');
LEGEND_ALGEBRAIC(:,49) = strpad('J_Rco in component LCC_and_RyR_fluxes (um3_mM_per_ms)');
LEGEND_ALGEBRAIC(:,50) = strpad('J_Roo in component LCC_and_RyR_fluxes (um3_mM_per_ms)');
LEGEND_ALGEBRAIC(:,53) = strpad('denom in component CaRU_states (per_ms3)');
LEGEND_ALGEBRAIC(:,54) = strpad('y_oc in component CaRU_states (dimensionless)');
LEGEND_ALGEBRAIC(:,55) = strpad('y_co in component CaRU_states (dimensionless)');
LEGEND_ALGEBRAIC(:,56) = strpad('y_oo in component CaRU_states (dimensionless)');
LEGEND_ALGEBRAIC(:,57) = strpad('y_cc in component CaRU_states (dimensionless)');
LEGEND_ALGEBRAIC(:,59) = strpad('y_ci in component CaRU_states (dimensionless)');
LEGEND_ALGEBRAIC(:,62) = strpad('y_oi in component CaRU_states (dimensionless)');
LEGEND_ALGEBRAIC(:,65) = strpad('y_ic in component CaRU_states (dimensionless)');
LEGEND_ALGEBRAIC(:,68) = strpad('y_io in component CaRU_states (dimensionless)');
LEGEND_ALGEBRAIC(:,71) = strpad('y_ii in component CaRU_states (dimensionless)');
LEGEND_ALGEBRAIC(:,60) = strpad('r_1 in component CaRU_reduced_states (per_ms)');
LEGEND_ALGEBRAIC(:,63) = strpad('r_2 in component CaRU_reduced_states (per_ms)');
LEGEND_ALGEBRAIC(:,66) = strpad('r_3 in component CaRU_reduced_states (per_ms)');
LEGEND_ALGEBRAIC(:,69) = strpad('r_4 in component CaRU_reduced_states (per_ms)');
LEGEND_ALGEBRAIC(:,72) = strpad('r_5 in component CaRU_reduced_states (per_ms)');
LEGEND_ALGEBRAIC(:,74) = strpad('r_6 in component CaRU_reduced_states (per_ms)');
LEGEND_ALGEBRAIC(:,76) = strpad('r_7 in component CaRU_reduced_states (per_ms)');
LEGEND_ALGEBRAIC(:,78) = strpad('r_8 in component CaRU_reduced_states (per_ms)');
LEGEND_STATES(:,15) = strpad('z_1 in component CaRU_reduced_states (dimensionless)');
LEGEND_STATES(:,16) = strpad('z_2 in component CaRU_reduced_states (dimensionless)');
LEGEND_STATES(:,17) = strpad('z_3 in component CaRU_reduced_states (dimensionless)');
LEGEND_ALGEBRAIC(:,80) = strpad('z_4 in component CaRU_reduced_states (dimensionless)');
LEGEND_ALGEBRAIC(:,58) = strpad('J_R1 in component RyR_current (um3_mM_per_ms)');
LEGEND_ALGEBRAIC(:,61) = strpad('J_R3 in component RyR_current (um3_mM_per_ms)');
LEGEND_ALGEBRAIC(:,67) = strpad('J_L1 in component LCC_current (um3_mM_per_ms)');
LEGEND_ALGEBRAIC(:,70) = strpad('J_L2 in component LCC_current (um3_mM_per_ms)');
LEGEND_CONSTANTS(:,45) = strpad('K_mNa in component hinch_Na_Ca_Exchanger (mM)');
LEGEND_CONSTANTS(:,46) = strpad('K_mCa in component hinch_Na_Ca_Exchanger (mM)');
LEGEND_CONSTANTS(:,47) = strpad('eta in component hinch_Na_Ca_Exchanger (dimensionless)');
LEGEND_CONSTANTS(:,48) = strpad('k_sat in component hinch_Na_Ca_Exchanger (dimensionless)');
LEGEND_CONSTANTS(:,49) = strpad('g_NCX in component hinch_Na_Ca_Exchanger (mM_per_ms)');
LEGEND_ALGEBRAIC(:,75) = strpad('I_NaCa in component hinch_Na_Ca_Exchanger (mM_per_ms)');
LEGEND_CONSTANTS(:,50) = strpad('g_SERCA in component hinch_SERCA (mM_per_ms)');
LEGEND_CONSTANTS(:,51) = strpad('K_SERCA in component hinch_SERCA (mM)');
LEGEND_ALGEBRAIC(:,77) = strpad('I_SERCA in component hinch_SERCA (mM_per_ms)');
LEGEND_CONSTANTS(:,52) = strpad('g_pCa in component hinch_Sarcolemmal_Ca_pump (mM_per_ms)');
LEGEND_CONSTANTS(:,53) = strpad('K_mpCa in component hinch_Sarcolemmal_Ca_pump (mM)');
LEGEND_ALGEBRAIC(:,79) = strpad('I_pCa in component hinch_Sarcolemmal_Ca_pump (mM_per_ms)');
LEGEND_ALGEBRAIC(:,81) = strpad('E_Ca in component hinch_Background_Ca_current (mV)');
LEGEND_CONSTANTS(:,54) = strpad('g_CaB in component hinch_Background_Ca_current (mM_per_mV_ms)');
LEGEND_ALGEBRAIC(:,82) = strpad('I_CaB in component hinch_Background_Ca_current (mM_per_ms)');
LEGEND_CONSTANTS(:,55) = strpad('g_SRl in component hinch_SR_Ca_leak_current (per_ms)');
LEGEND_ALGEBRAIC(:,83) = strpad('I_SR in component hinch_SR_Ca_leak_current (mM_per_ms)');
LEGEND_CONSTANTS(:,56) = strpad('k_CMDN in component hinch_calmodulin_Ca_buffer (mM)');
LEGEND_CONSTANTS(:,57) = strpad('B_CMDN in component hinch_calmodulin_Ca_buffer (mM)');
LEGEND_ALGEBRAIC(:,84) = strpad('beta_CMDN in component hinch_calmodulin_Ca_buffer (dimensionless)');
LEGEND_ALGEBRAIC(:,89) = strpad('I_RyR in component convert_hinch (mM_per_ms)');
LEGEND_STATES(:,18) = strpad('z in component niederer_tropomyosin (dimensionless)');
LEGEND_ALGEBRAIC(:,96) = strpad('z_max in component niederer_tropomyosin (dimensionless)');
LEGEND_CONSTANTS(:,58) = strpad('k_on in component niederer_troponin (per_mM_ms)');
LEGEND_CONSTANTS(:,59) = strpad('k_Ref_off in component niederer_troponin (per_ms)');
LEGEND_CONSTANTS(:,60) = strpad('gamma_trpn in component niederer_troponin (dimensionless)');
LEGEND_CONSTANTS(:,61) = strpad('Ca_TRPN_Max in component niederer_troponin (mM)');
LEGEND_CONSTANTS(:,62) = strpad('alpha_0 in component niederer_tropomyosin (per_ms)');
LEGEND_CONSTANTS(:,63) = strpad('alpha_r1 in component niederer_tropomyosin (per_ms)');
LEGEND_CONSTANTS(:,64) = strpad('alpha_r2 in component niederer_tropomyosin (per_ms)');
LEGEND_CONSTANTS(:,65) = strpad('n_Rel in component niederer_tropomyosin (dimensionless)');
LEGEND_CONSTANTS(:,66) = strpad('K_z in component niederer_tropomyosin (dimensionless)');
LEGEND_CONSTANTS(:,67) = strpad('n_Hill in component niederer_tropomyosin (dimensionless)');
LEGEND_CONSTANTS(:,68) = strpad('Ca_50ref in component niederer_tropomyosin (mM)');
LEGEND_CONSTANTS(:,69) = strpad('z_p in component niederer_tropomyosin (dimensionless)');
LEGEND_CONSTANTS(:,70) = strpad('beta_1 in component niederer_tropomyosin (dimensionless)');
LEGEND_ALGEBRAIC(:,94) = strpad('Ca_50 in component niederer_tropomyosin (mM)');
LEGEND_ALGEBRAIC(:,95) = strpad('Ca_TRPN_50 in component niederer_tropomyosin (mM)');
LEGEND_CONSTANTS(:,86) = strpad('K_2 in component niederer_tropomyosin (per_ms)');
LEGEND_CONSTANTS(:,89) = strpad('K_1 in component niederer_tropomyosin (per_ms)');
LEGEND_ALGEBRAIC(:,98) = strpad('alpha_Tm in component niederer_tropomyosin (per_ms)');
LEGEND_ALGEBRAIC(:,90) = strpad('beta_Tm in component niederer_tropomyosin (per_ms)');
LEGEND_CONSTANTS(:,71) = strpad('beta_0 in component niederer_filament_overlap (dimensionless)');
LEGEND_ALGEBRAIC(:,97) = strpad('Ca_b in component intracellular_ion_concentrations (mM)');
LEGEND_ALGEBRAIC(:,92) = strpad('lambda in component niederer_Myofilaments (dimensionless)');
LEGEND_ALGEBRAIC(:,105) = strpad('I_TRPN in component niederer_troponin (mM_per_ms)');
LEGEND_STATES(:,19) = strpad('TRPN in component intracellular_ion_concentrations (mM)');
LEGEND_ALGEBRAIC(:,104) = strpad('k_off in component niederer_troponin (per_ms)');
LEGEND_ALGEBRAIC(:,103) = strpad('Tension in component niederer_Cross_Bridges (N_per_mm2)');
LEGEND_CONSTANTS(:,72) = strpad('T_ref in component niederer_length_independent_tension (N_per_mm2)');
LEGEND_ALGEBRAIC(:,91) = strpad('ExtensionRatio in component niederer_Myofilaments (dimensionless)');
LEGEND_CONSTANTS(:,87) = strpad('dExtensionRatiodt in component niederer_Myofilaments (per_ms)');
LEGEND_ALGEBRAIC(:,93) = strpad('lambda_prev in component niederer_Myofilaments (dimensionless)');
LEGEND_ALGEBRAIC(:,99) = strpad('overlap in component niederer_filament_overlap (dimensionless)');
LEGEND_ALGEBRAIC(:,100) = strpad('T_Base in component niederer_length_independent_tension (N_per_mm2)');
LEGEND_ALGEBRAIC(:,101) = strpad('T_0 in component niederer_isometric_tension (N_per_mm2)');
LEGEND_ALGEBRAIC(:,102) = strpad('Q in component niederer_Cross_Bridges (dimensionless)');
LEGEND_CONSTANTS(:,73) = strpad('a in component niederer_Cross_Bridges (dimensionless)');
LEGEND_STATES(:,20) = strpad('Q_1 in component niederer_Cross_Bridges (dimensionless)');
LEGEND_STATES(:,21) = strpad('Q_2 in component niederer_Cross_Bridges (dimensionless)');
LEGEND_STATES(:,22) = strpad('Q_3 in component niederer_Cross_Bridges (dimensionless)');
LEGEND_CONSTANTS(:,74) = strpad('A_1 in component niederer_Cross_Bridges (dimensionless)');
LEGEND_CONSTANTS(:,75) = strpad('A_2 in component niederer_Cross_Bridges (dimensionless)');
LEGEND_CONSTANTS(:,76) = strpad('A_3 in component niederer_Cross_Bridges (dimensionless)');
LEGEND_CONSTANTS(:,77) = strpad('alpha_1 in component niederer_Cross_Bridges (per_ms)');
LEGEND_CONSTANTS(:,78) = strpad('alpha_2 in component niederer_Cross_Bridges (per_ms)');
LEGEND_CONSTANTS(:,79) = strpad('alpha_3 in component niederer_Cross_Bridges (per_ms)');
LEGEND_RATES(:,1) = strpad('d/dt V in component membrane (mV)');
LEGEND_RATES(:,3) = strpad('d/dt m in component sodium_current_m_gate (dimensionless)');
LEGEND_RATES(:,4) = strpad('d/dt h in component sodium_current_h_gate (dimensionless)');
LEGEND_RATES(:,5) = strpad('d/dt j in component sodium_current_j_gate (dimensionless)');
LEGEND_RATES(:,7) = strpad('d/dt r in component Ca_independent_transient_outward_K_current_r_gate (dimensionless)');
LEGEND_RATES(:,8) = strpad('d/dt s in component Ca_independent_transient_outward_K_current_s_gate (dimensionless)');
LEGEND_RATES(:,9) = strpad('d/dt s_slow in component Ca_independent_transient_outward_K_current_s_slow_gate (dimensionless)');
LEGEND_RATES(:,10) = strpad('d/dt r_ss in component steady_state_outward_K_current_r_ss_gate (dimensionless)');
LEGEND_RATES(:,11) = strpad('d/dt s_ss in component steady_state_outward_K_current_s_ss_gate (dimensionless)');
LEGEND_RATES(:,12) = strpad('d/dt y in component hyperpolarisation_activated_current_y_gate (dimensionless)');
LEGEND_RATES(:,15) = strpad('d/dt z_1 in component CaRU_reduced_states (dimensionless)');
LEGEND_RATES(:,16) = strpad('d/dt z_2 in component CaRU_reduced_states (dimensionless)');
LEGEND_RATES(:,17) = strpad('d/dt z_3 in component CaRU_reduced_states (dimensionless)');
LEGEND_RATES(:,18) = strpad('d/dt z in component niederer_tropomyosin (dimensionless)');
LEGEND_RATES(:,20) = strpad('d/dt Q_1 in component niederer_Cross_Bridges (dimensionless)');
LEGEND_RATES(:,21) = strpad('d/dt Q_2 in component niederer_Cross_Bridges (dimensionless)');
LEGEND_RATES(:,22) = strpad('d/dt Q_3 in component niederer_Cross_Bridges (dimensionless)');
LEGEND_RATES(:,2) = strpad('d/dt Na_i in component intracellular_ion_concentrations (mM)');
LEGEND_RATES(:,6) = strpad('d/dt K_i in component intracellular_ion_concentrations (mM)');
LEGEND_RATES(:,19) = strpad('d/dt TRPN in component intracellular_ion_concentrations (mM)');
LEGEND_RATES(:,13) = strpad('d/dt Ca_i in component intracellular_ion_concentrations (mM)');
LEGEND_RATES(:,14) = strpad('d/dt Ca_SR in component intracellular_ion_concentrations (mM)');
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) = -78.8;
CONSTANTS(:,1) = 8314.5;
CONSTANTS(:,2) = 295;
CONSTANTS(:,3) = 96487;
CONSTANTS(:,4) = 0.0001;
CONSTANTS(:,5) = 10;
CONSTANTS(:,6) = -0.6e-3;
CONSTANTS(:,7) = 25.85e3;
CONSTANTS(:,8) = 2.098e3;
CONSTANTS(:,9) = 25.85e-6;
CONSTANTS(:,10) = 2.098e-6;
CONSTANTS(:,11) = 0.8e-3;
STATES(:,2) = 11.28;
CONSTANTS(:,12) = 140;
STATES(:,3) = 0.0054828;
STATES(:,4) = 0.6095126;
STATES(:,5) = 0.60876276;
CONSTANTS(:,13) = 0.035e-3;
CONSTANTS(:,14) = 0.583;
CONSTANTS(:,15) = 0.417;
CONSTANTS(:,16) = 5.4;
STATES(:,6) = 138.7225;
STATES(:,7) = 0.002542;
STATES(:,8) = 0.8823;
STATES(:,9) = 0.42756;
CONSTANTS(:,17) = 0.007e-3;
STATES(:,10) = 0.0033545;
STATES(:,11) = 0.266596;
CONSTANTS(:,18) = 0.024e-3;
CONSTANTS(:,19) = 0.00145e-3;
CONSTANTS(:,20) = 0.2;
STATES(:,12) = 0.0026369;
CONSTANTS(:,21) = 0.00008015e-3;
CONSTANTS(:,22) = 0.000138e-3;
CONSTANTS(:,23) = 0.95e-4;
CONSTANTS(:,24) = 1.5;
CONSTANTS(:,25) = 10;
CONSTANTS(:,26) = 1.2;
CONSTANTS(:,27) = 0.065;
CONSTANTS(:,28) = 0.02;
CONSTANTS(:,29) = 9.13e-4;
CONSTANTS(:,30) = 50000;
STATES(:,13) = 0.00011423;
STATES(:,14) = 721.96e-3;
CONSTANTS(:,31) = -2;
CONSTANTS(:,32) = 7;
CONSTANTS(:,33) = 2.35;
CONSTANTS(:,34) = 1;
CONSTANTS(:,35) = 650;
CONSTANTS(:,36) = 2.43;
CONSTANTS(:,37) = 0.05;
CONSTANTS(:,38) = 0.012;
CONSTANTS(:,39) = 41e-3;
CONSTANTS(:,40) = 0.22e-3;
CONSTANTS(:,41) = 0.0625;
CONSTANTS(:,42) = 14;
CONSTANTS(:,43) = 0.01;
CONSTANTS(:,44) = 100;
STATES(:,15) = 0.98794;
STATES(:,16) = 0.00887;
STATES(:,17) = 0.003156;
CONSTANTS(:,45) = 87.5;
CONSTANTS(:,46) = 1380e-3;
CONSTANTS(:,47) = 0.35;
CONSTANTS(:,48) = 0.1;
CONSTANTS(:,49) = 38.5e-3;
CONSTANTS(:,50) = 0.45e-3;
CONSTANTS(:,51) = 0.5e-3;
CONSTANTS(:,52) = 0.0035e-3;
CONSTANTS(:,53) = 0.5e-3;
CONSTANTS(:,54) = 2.6875e-8;
CONSTANTS(:,55) = 1.8951e-5;
CONSTANTS(:,56) = 2.382e-3;
CONSTANTS(:,57) = 50e-3;
STATES(:,18) = 0.020023;
CONSTANTS(:,58) = 100;
CONSTANTS(:,59) = 0.2;
CONSTANTS(:,60) = 2;
CONSTANTS(:,61) = 70e-3;
CONSTANTS(:,62) = 8e-3;
CONSTANTS(:,63) = 2e-3;
CONSTANTS(:,64) = 1.75e-3;
CONSTANTS(:,65) = 3;
CONSTANTS(:,66) = 0.15;
CONSTANTS(:,67) = 3;
CONSTANTS(:,68) = 1.05e-3;
CONSTANTS(:,69) = 0.85;
CONSTANTS(:,70) = -4;
CONSTANTS(:,71) = 4.9;
STATES(:,19) = 0.0661796;
CONSTANTS(:,72) = 56.2;
CONSTANTS(:,73) = 0.35;
STATES(:,20) = 0;
STATES(:,21) = 0;
STATES(:,22) = 0;
CONSTANTS(:,74) = -29;
CONSTANTS(:,75) = 138;
CONSTANTS(:,76) = 129;
CONSTANTS(:,77) = 0.03;
CONSTANTS(:,78) = 0.13;
CONSTANTS(:,79) = 0.625;
CONSTANTS(:,80) = 1.33000.*CONSTANTS(:,11);
CONSTANTS(:,81) = 0.464700.*CONSTANTS(:,13);
CONSTANTS(:,82) = 2100.00;
CONSTANTS(:,83) = 1.00000 - CONSTANTS(:,20);
CONSTANTS(:,84) = (exp(CONSTANTS(:,12)./67.3000) - 1.00000)./7.00000;
CONSTANTS(:,85) = 1.17000.*CONSTANTS(:,34);
CONSTANTS(:,86) = (( CONSTANTS(:,64).*power(CONSTANTS(:,69), CONSTANTS(:,65)))./(power(CONSTANTS(:,69), CONSTANTS(:,65))+power(CONSTANTS(:,66), CONSTANTS(:,65)))).*(1.00000 - ( CONSTANTS(:,65).*power(CONSTANTS(:,66), CONSTANTS(:,65)))./(power(CONSTANTS(:,69), CONSTANTS(:,65))+power(CONSTANTS(:,66), CONSTANTS(:,65))));
CONSTANTS(:,87) = 0.00000;
CONSTANTS(:,88) = CONSTANTS(:,33)./CONSTANTS(:,34);
CONSTANTS(:,89) = ( CONSTANTS(:,64).*power(CONSTANTS(:,69), CONSTANTS(:,65) - 1.00000).*CONSTANTS(:,65).*power(CONSTANTS(:,66), CONSTANTS(:,65)))./power(power(CONSTANTS(:,69), CONSTANTS(:,65))+power(CONSTANTS(:,66), CONSTANTS(:,65)), 2.00000);
CONSTANTS(:,90) = CONSTANTS(:,37)./CONSTANTS(:,85);
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(:,20) = CONSTANTS(:,74).*CONSTANTS(:,87) - CONSTANTS(:,77).*STATES(:,20);
RATES(:,21) = CONSTANTS(:,75).*CONSTANTS(:,87) - CONSTANTS(:,78).*STATES(:,21);
RATES(:,22) = CONSTANTS(:,76).*CONSTANTS(:,87) - CONSTANTS(:,79).*STATES(:,22);
ALGEBRAIC(:,9) = 1.00000./(1.00000+exp((STATES(:,1)+87.5000)./10.3000));
RATES(:,11) = (ALGEBRAIC(:,9) - STATES(:,11))./CONSTANTS(:,82);
ALGEBRAIC(:,2) = 1.00000./(1.00000+exp((STATES(:,1)+45.0000)./ - 6.50000));
ALGEBRAIC(:,13) = 1.36000./(( 0.320000.*(STATES(:,1)+47.1300))./(1.00000 - exp( - 0.100000.*(STATES(:,1)+47.1300)))+ 0.0800000.*exp( - STATES(:,1)./11.0000));
RATES(:,3) = (ALGEBRAIC(:,2) - STATES(:,3))./ALGEBRAIC(:,13);
ALGEBRAIC(:,3) = 1.00000./(1.00000+exp((STATES(:,1)+76.1000)./6.07000));
ALGEBRAIC(:,14) = piecewise({STATES(:,1)>= - 40.0000, 0.453700.*(1.00000+exp( - (STATES(:,1)+10.6600)./11.1000)) }, 3.49000./( 0.135000.*exp( - (STATES(:,1)+80.0000)./6.80000)+ 3.56000.*exp( 0.0790000.*STATES(:,1))+ 310000..*exp( 0.350000.*STATES(:,1))));
RATES(:,4) = (ALGEBRAIC(:,3) - STATES(:,4))./ALGEBRAIC(:,14);
ALGEBRAIC(:,4) = 1.00000./(1.00000+exp((STATES(:,1)+76.1000)./6.07000));
ALGEBRAIC(:,15) = piecewise({STATES(:,1)>= - 40.0000, ( 11.6300.*(1.00000+exp( - 0.100000.*(STATES(:,1)+32.0000))))./exp( - 2.53500e-07.*STATES(:,1)) }, 3.49000./( ((STATES(:,1)+37.7800)./(1.00000+exp( 0.311000.*(STATES(:,1)+79.2300)))).*( - 127140..*exp( 0.244400.*STATES(:,1)) - 3.47400e-05.*exp( - 0.0439100.*STATES(:,1)))+( 0.121200.*exp( - 0.0105200.*STATES(:,1)))./(1.00000+exp( - 0.137800.*(STATES(:,1)+40.1400)))));
RATES(:,5) = (ALGEBRAIC(:,4) - STATES(:,5))./ALGEBRAIC(:,15);
ALGEBRAIC(:,16) = 1000.00./( 45.1600.*exp( 0.0357700.*(STATES(:,1)+50.0000))+ 98.9000.*exp( - 0.100000.*(STATES(:,1)+38.0000)));
ALGEBRAIC(:,5) = 1.00000./(1.00000+exp((STATES(:,1)+10.6000)./ - 11.4200));
RATES(:,7) = (ALGEBRAIC(:,5) - STATES(:,7))./ALGEBRAIC(:,16);
ALGEBRAIC(:,17) = 550.000.*exp( - power((STATES(:,1)+70.0000)./25.0000, 2.00000))+49.0000;
ALGEBRAIC(:,6) = 1.00000./(1.00000+exp((STATES(:,1)+45.3000)./6.88410));
RATES(:,8) = (ALGEBRAIC(:,6) - STATES(:,8))./ALGEBRAIC(:,17);
ALGEBRAIC(:,18) = 3300.00.*exp( - power((STATES(:,1)+70.0000)./30.0000, 2.00000))+49.0000;
ALGEBRAIC(:,7) = 1.00000./(1.00000+exp((STATES(:,1)+45.3000)./6.88410));
RATES(:,9) = (ALGEBRAIC(:,7) - STATES(:,9))./ALGEBRAIC(:,18);
ALGEBRAIC(:,19) = 10000.0./( 45.1600.*exp( 0.0357700.*(STATES(:,1)+50.0000))+ 98.9000.*exp( - 0.100000.*(STATES(:,1)+38.0000)));
ALGEBRAIC(:,8) = 1.00000./(1.00000+exp((STATES(:,1)+11.5000)./ - 11.8200));
RATES(:,10) = (ALGEBRAIC(:,8) - STATES(:,10))./ALGEBRAIC(:,19);
ALGEBRAIC(:,20) = 1000.00./( 0.118850.*exp((STATES(:,1)+80.0000)./28.3700)+ 0.562300.*exp((STATES(:,1)+80.0000)./ - 14.1900));
ALGEBRAIC(:,10) = 1.00000./(1.00000+exp((STATES(:,1)+138.600)./10.4800));
RATES(:,12) = (ALGEBRAIC(:,10) - STATES(:,12))./ALGEBRAIC(:,20);
ALGEBRAIC(:,1) = piecewise({VOI>=5000.00&VOI<=10000.0, 500.000 }, 1000.00);
ALGEBRAIC(:,12) = piecewise({VOI - floor(VOI./ALGEBRAIC(:,1)).*ALGEBRAIC(:,1)>=0.00000&VOI - floor(VOI./ALGEBRAIC(:,1)).*ALGEBRAIC(:,1)<=CONSTANTS(:,5), CONSTANTS(:,6) }, 0.00000);
ALGEBRAIC(:,26) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,16)./STATES(:,6));
ALGEBRAIC(:,27) = CONSTANTS(:,81).*STATES(:,7).*( CONSTANTS(:,14).*STATES(:,8)+ CONSTANTS(:,15).*STATES(:,9)).*(STATES(:,1) - ALGEBRAIC(:,26));
ALGEBRAIC(:,28) = CONSTANTS(:,17).*STATES(:,10).*STATES(:,11).*(STATES(:,1) - ALGEBRAIC(:,26));
ALGEBRAIC(:,29) = (0.0480000./(exp((STATES(:,1)+37.0000)./25.0000)+exp((STATES(:,1)+37.0000)./ - 25.0000))+0.0100000).*(0.00100000./(1.00000+exp((STATES(:,1) - (ALGEBRAIC(:,26)+76.7700))./ - 17.0000)))+( CONSTANTS(:,18).*(STATES(:,1) - (ALGEBRAIC(:,26)+1.73000)))./( (1.00000+exp(( 1.61300.*CONSTANTS(:,3).*(STATES(:,1) - (ALGEBRAIC(:,26)+1.73000)))./( CONSTANTS(:,1).*CONSTANTS(:,2)))).*(1.00000+exp((CONSTANTS(:,16) - 0.998800)./ - 0.124000)));
ALGEBRAIC(:,34) = CONSTANTS(:,22).*(STATES(:,1) - ALGEBRAIC(:,26));
ALGEBRAIC(:,35) = ( (( (( CONSTANTS(:,23).*1.00000)./(1.00000+ 0.124500.*exp(( - 0.100000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))+ 0.0365000.*CONSTANTS(:,84).*exp(( - STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*CONSTANTS(:,16))./(CONSTANTS(:,16)+CONSTANTS(:,24))).*1.00000)./(1.00000+power(CONSTANTS(:,25)./STATES(:,2), 4.00000));
ALGEBRAIC(:,31) = CONSTANTS(:,19).*STATES(:,12).*CONSTANTS(:,83).*(STATES(:,1) - ALGEBRAIC(:,26));
RATES(:,6) = ( - (ALGEBRAIC(:,12)+ALGEBRAIC(:,28)+ALGEBRAIC(:,34)+ALGEBRAIC(:,27)+ALGEBRAIC(:,29)+ALGEBRAIC(:,31)+ - 2.00000.*ALGEBRAIC(:,35)).*1.00000)./( CONSTANTS(:,9).*CONSTANTS(:,3));
ALGEBRAIC(:,21) = ( CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2));
ALGEBRAIC(:,22) = 2.00000.*ALGEBRAIC(:,21);
ALGEBRAIC(:,45) = piecewise({abs(ALGEBRAIC(:,22))>1.00000e-09, (STATES(:,13)+( (CONSTANTS(:,29)./CONSTANTS(:,27)).*CONSTANTS(:,26).*ALGEBRAIC(:,22).*exp( - ALGEBRAIC(:,22)))./(1.00000 - exp( - ALGEBRAIC(:,22))))./(1.00000+( (CONSTANTS(:,29)./CONSTANTS(:,27)).*ALGEBRAIC(:,22))./(1.00000 - exp( - ALGEBRAIC(:,22)))) }, (STATES(:,13)+ (CONSTANTS(:,29)./CONSTANTS(:,27)).*CONSTANTS(:,26))./(1.00000+CONSTANTS(:,29)./CONSTANTS(:,27)));
ALGEBRAIC(:,47) = (power(ALGEBRAIC(:,45), 2.00000)+ CONSTANTS(:,43).*power(CONSTANTS(:,39), 2.00000))./( CONSTANTS(:,36).*(power(ALGEBRAIC(:,45), 2.00000)+power(CONSTANTS(:,39), 2.00000)));
ALGEBRAIC(:,41) = (power(STATES(:,13), 2.00000)+ CONSTANTS(:,43).*power(CONSTANTS(:,39), 2.00000))./( CONSTANTS(:,36).*(power(STATES(:,13), 2.00000)+power(CONSTANTS(:,39), 2.00000)));
ALGEBRAIC(:,36) = exp((STATES(:,1) - CONSTANTS(:,31))./CONSTANTS(:,32));
ALGEBRAIC(:,37) = ALGEBRAIC(:,36)./( CONSTANTS(:,34).*(ALGEBRAIC(:,36)+1.00000));
ALGEBRAIC(:,38) = power(STATES(:,13), 2.00000)./( CONSTANTS(:,85).*(power(STATES(:,13), 2.00000)+power(CONSTANTS(:,39), 2.00000)));
ALGEBRAIC(:,46) = power(ALGEBRAIC(:,45), 2.00000)./( CONSTANTS(:,85).*(power(ALGEBRAIC(:,45), 2.00000)+power(CONSTANTS(:,39), 2.00000)));
ALGEBRAIC(:,53) = (ALGEBRAIC(:,37)+CONSTANTS(:,88)).*( (CONSTANTS(:,88)+CONSTANTS(:,90)+ALGEBRAIC(:,46)).*(CONSTANTS(:,90)+ALGEBRAIC(:,38))+ ALGEBRAIC(:,37).*(CONSTANTS(:,90)+ALGEBRAIC(:,46)));
ALGEBRAIC(:,54) = ( ALGEBRAIC(:,37).*CONSTANTS(:,90).*(ALGEBRAIC(:,37)+CONSTANTS(:,88)+CONSTANTS(:,90)+ALGEBRAIC(:,38)))./ALGEBRAIC(:,53);
ALGEBRAIC(:,57) = ( CONSTANTS(:,88).*CONSTANTS(:,90).*(CONSTANTS(:,88)+ALGEBRAIC(:,37)+CONSTANTS(:,90)+ALGEBRAIC(:,46)))./ALGEBRAIC(:,53);
ALGEBRAIC(:,60) = ALGEBRAIC(:,54).*ALGEBRAIC(:,47)+ ALGEBRAIC(:,57).*ALGEBRAIC(:,41);
ALGEBRAIC(:,48) = ( CONSTANTS(:,38).*CONSTANTS(:,44).*(power(ALGEBRAIC(:,45), 2.00000)+ CONSTANTS(:,43).*power(CONSTANTS(:,39), 2.00000)))./( CONSTANTS(:,36).*( CONSTANTS(:,44).*power(ALGEBRAIC(:,45), 2.00000)+ CONSTANTS(:,43).*power(CONSTANTS(:,39), 2.00000)));
ALGEBRAIC(:,42) = ( CONSTANTS(:,38).*CONSTANTS(:,44).*(power(STATES(:,13), 2.00000)+ CONSTANTS(:,43).*power(CONSTANTS(:,39), 2.00000)))./( CONSTANTS(:,36).*( CONSTANTS(:,44).*power(STATES(:,13), 2.00000)+ CONSTANTS(:,43).*power(CONSTANTS(:,39), 2.00000)));
ALGEBRAIC(:,63) = ( ALGEBRAIC(:,37).*ALGEBRAIC(:,48)+ CONSTANTS(:,88).*ALGEBRAIC(:,42))./(ALGEBRAIC(:,37)+CONSTANTS(:,88));
ALGEBRAIC(:,43) = (STATES(:,13)+ (CONSTANTS(:,28)./CONSTANTS(:,27)).*STATES(:,14))./(1.00000+CONSTANTS(:,28)./CONSTANTS(:,27));
ALGEBRAIC(:,44) = ( ALGEBRAIC(:,43).*(ALGEBRAIC(:,36)+CONSTANTS(:,41)))./( CONSTANTS(:,35).*CONSTANTS(:,40).*(ALGEBRAIC(:,36)+1.00000));
ALGEBRAIC(:,39) = ( STATES(:,13).*(ALGEBRAIC(:,36)+CONSTANTS(:,41)))./( CONSTANTS(:,35).*CONSTANTS(:,40).*(ALGEBRAIC(:,36)+1.00000));
ALGEBRAIC(:,55) = ( CONSTANTS(:,88).*( ALGEBRAIC(:,38).*(CONSTANTS(:,88)+CONSTANTS(:,90)+ALGEBRAIC(:,46))+ ALGEBRAIC(:,46).*ALGEBRAIC(:,37)))./ALGEBRAIC(:,53);
ALGEBRAIC(:,72) = ALGEBRAIC(:,55).*ALGEBRAIC(:,44)+ ALGEBRAIC(:,57).*ALGEBRAIC(:,39);
ALGEBRAIC(:,40) = ( CONSTANTS(:,42).*(ALGEBRAIC(:,36)+CONSTANTS(:,41)))./( CONSTANTS(:,35).*( CONSTANTS(:,42).*ALGEBRAIC(:,36)+CONSTANTS(:,41)));
ALGEBRAIC(:,74) = ALGEBRAIC(:,40);
RATES(:,15) = - (ALGEBRAIC(:,60)+ALGEBRAIC(:,72)).*STATES(:,15)+ ALGEBRAIC(:,63).*STATES(:,16)+ ALGEBRAIC(:,74).*STATES(:,17);
ALGEBRAIC(:,76) = ( CONSTANTS(:,88).*ALGEBRAIC(:,39))./(ALGEBRAIC(:,37)+CONSTANTS(:,88));
ALGEBRAIC(:,78) = ALGEBRAIC(:,40);
ALGEBRAIC(:,80) = ((1.00000 - STATES(:,15)) - STATES(:,16)) - STATES(:,17);
RATES(:,16) = ( ALGEBRAIC(:,60).*STATES(:,15) - (ALGEBRAIC(:,63)+ALGEBRAIC(:,76)).*STATES(:,16))+ ALGEBRAIC(:,78).*ALGEBRAIC(:,80);
ALGEBRAIC(:,66) = ( CONSTANTS(:,90).*ALGEBRAIC(:,41))./(CONSTANTS(:,90)+ALGEBRAIC(:,38));
ALGEBRAIC(:,69) = ALGEBRAIC(:,42);
RATES(:,17) = ( ALGEBRAIC(:,72).*STATES(:,15) - (ALGEBRAIC(:,74)+ALGEBRAIC(:,66)).*STATES(:,17))+ ALGEBRAIC(:,69).*ALGEBRAIC(:,80);
ALGEBRAIC(:,24) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,12)./STATES(:,2));
ALGEBRAIC(:,25) = CONSTANTS(:,80).*power(STATES(:,3), 3.00000).*STATES(:,4).*STATES(:,5).*(STATES(:,1) - ALGEBRAIC(:,24));
ALGEBRAIC(:,33) = CONSTANTS(:,21).*(STATES(:,1) - ALGEBRAIC(:,24));
ALGEBRAIC(:,75) = ( CONSTANTS(:,49).*( exp( CONSTANTS(:,47).*ALGEBRAIC(:,21)).*power(STATES(:,2), 3.00000).*CONSTANTS(:,26) - exp( (CONSTANTS(:,47) - 1.00000).*ALGEBRAIC(:,21)).*power(CONSTANTS(:,12), 3.00000).*STATES(:,13)))./( (power(CONSTANTS(:,12), 3.00000)+power(CONSTANTS(:,45), 3.00000)).*(CONSTANTS(:,26)+CONSTANTS(:,46)).*(1.00000+ CONSTANTS(:,48).*exp( (CONSTANTS(:,47) - 1.00000).*ALGEBRAIC(:,21))));
ALGEBRAIC(:,86) = ALGEBRAIC(:,75).*CONSTANTS(:,9).*CONSTANTS(:,3);
ALGEBRAIC(:,30) = CONSTANTS(:,19).*STATES(:,12).*CONSTANTS(:,20).*(STATES(:,1) - ALGEBRAIC(:,24));
RATES(:,2) = ( - (ALGEBRAIC(:,25)+ALGEBRAIC(:,33)+ ALGEBRAIC(:,86).*3.00000+ ALGEBRAIC(:,35).*3.00000+ALGEBRAIC(:,30)).*1.00000)./( CONSTANTS(:,9).*CONSTANTS(:,3));
ALGEBRAIC(:,32) = ALGEBRAIC(:,30)+ALGEBRAIC(:,31);
ALGEBRAIC(:,52) = piecewise({abs(ALGEBRAIC(:,22))>1.00000e-05, ( (( CONSTANTS(:,29).*ALGEBRAIC(:,22))./(1.00000 - exp( - ALGEBRAIC(:,22)))).*(( CONSTANTS(:,26).*exp( - ALGEBRAIC(:,22)) - STATES(:,13))+ (CONSTANTS(:,28)./CONSTANTS(:,27)).*( CONSTANTS(:,26).*exp( - ALGEBRAIC(:,22)) - STATES(:,14))))./(1.00000+CONSTANTS(:,28)./CONSTANTS(:,27)+( (CONSTANTS(:,29)./CONSTANTS(:,27)).*ALGEBRAIC(:,22))./(1.00000 - exp(ALGEBRAIC(:,22)))) }, ( (( CONSTANTS(:,29).*1.00000e-05)./(1.00000 - exp( - 1.00000e-05))).*(( CONSTANTS(:,26).*exp( - 1.00000e-05) - STATES(:,13))+ (CONSTANTS(:,28)./CONSTANTS(:,27)).*( CONSTANTS(:,26).*exp( - 1.00000e-05) - STATES(:,14))))./(1.00000+CONSTANTS(:,28)./CONSTANTS(:,27)+( (CONSTANTS(:,29)./CONSTANTS(:,27)).*1.00000e-05)./(1.00000 - exp( - 1.00000e-05))));
ALGEBRAIC(:,51) = piecewise({abs(ALGEBRAIC(:,22))>1.00000e-05, ( (( CONSTANTS(:,29).*ALGEBRAIC(:,22))./(1.00000 - exp( - ALGEBRAIC(:,22)))).*( CONSTANTS(:,26).*exp( - ALGEBRAIC(:,22)) - STATES(:,13)))./(1.00000+( (CONSTANTS(:,29)./CONSTANTS(:,27)).*ALGEBRAIC(:,22))./(1.00000 - exp( - ALGEBRAIC(:,22)))) }, ( (( CONSTANTS(:,29).*1.00000e-05)./(1.00000 - exp( - 1.00000e-05))).*( CONSTANTS(:,26).*exp( - 1.00000e-05) - STATES(:,13)))./(1.00000+( (CONSTANTS(:,29)./CONSTANTS(:,27)).*1.00000e-05)./(1.00000 - exp( - 1.00000e-05))));
ALGEBRAIC(:,56) = ( ALGEBRAIC(:,37).*( ALGEBRAIC(:,46).*(ALGEBRAIC(:,37)+CONSTANTS(:,90)+ALGEBRAIC(:,38))+ ALGEBRAIC(:,38).*CONSTANTS(:,88)))./ALGEBRAIC(:,53);
ALGEBRAIC(:,67) = ALGEBRAIC(:,52).*ALGEBRAIC(:,56)+ ALGEBRAIC(:,51).*ALGEBRAIC(:,54);
ALGEBRAIC(:,70) = ( ALGEBRAIC(:,51).*ALGEBRAIC(:,37))./(ALGEBRAIC(:,37)+CONSTANTS(:,88));
ALGEBRAIC(:,73) = ( ( STATES(:,15).*ALGEBRAIC(:,67)+ STATES(:,16).*ALGEBRAIC(:,70)).*CONSTANTS(:,30))./CONSTANTS(:,7);
ALGEBRAIC(:,85) = - 1.50000.*ALGEBRAIC(:,73).*2.00000.*CONSTANTS(:,9).*CONSTANTS(:,3);
ALGEBRAIC(:,79) = ( CONSTANTS(:,52).*STATES(:,13))./(CONSTANTS(:,53)+STATES(:,13));
ALGEBRAIC(:,87) = ALGEBRAIC(:,79).*2.00000.*CONSTANTS(:,9).*CONSTANTS(:,3);
ALGEBRAIC(:,81) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./( 2.00000.*CONSTANTS(:,3))).*log(CONSTANTS(:,26)./STATES(:,13));
ALGEBRAIC(:,82) = CONSTANTS(:,54).*(ALGEBRAIC(:,81) - STATES(:,1));
ALGEBRAIC(:,88) = - ALGEBRAIC(:,82).*2.00000.*CONSTANTS(:,9).*CONSTANTS(:,3);
RATES(:,1) = - (ALGEBRAIC(:,25)+ALGEBRAIC(:,27)+ALGEBRAIC(:,28)+ALGEBRAIC(:,32)+ALGEBRAIC(:,29)+ALGEBRAIC(:,33)+ALGEBRAIC(:,34)+ALGEBRAIC(:,35)+ALGEBRAIC(:,12)+ALGEBRAIC(:,88)+ALGEBRAIC(:,86)+ALGEBRAIC(:,87)+ALGEBRAIC(:,85))./CONSTANTS(:,4);
ALGEBRAIC(:,77) = ( CONSTANTS(:,50).*power(STATES(:,13), 2.00000))./(power(CONSTANTS(:,51), 2.00000)+power(STATES(:,13), 2.00000));
ALGEBRAIC(:,83) = CONSTANTS(:,55).*(STATES(:,14) - STATES(:,13));
ALGEBRAIC(:,49) = ( CONSTANTS(:,28).*(STATES(:,14) - STATES(:,13)))./(1.00000+CONSTANTS(:,28)./CONSTANTS(:,27));
ALGEBRAIC(:,50) = piecewise({abs(ALGEBRAIC(:,22))>1.00000e-05, ( CONSTANTS(:,28).*((STATES(:,14) - STATES(:,13))+ (( (CONSTANTS(:,29)./CONSTANTS(:,27)).*ALGEBRAIC(:,22))./(1.00000 - exp( - ALGEBRAIC(:,22)))).*(STATES(:,14) - CONSTANTS(:,26).*exp( - ALGEBRAIC(:,22)))))./(1.00000+CONSTANTS(:,28)./CONSTANTS(:,27)+( (CONSTANTS(:,29)./CONSTANTS(:,27)).*ALGEBRAIC(:,22))./(1.00000 - exp( - ALGEBRAIC(:,22)))) }, ( CONSTANTS(:,28).*((STATES(:,14) - STATES(:,13))+ (( (CONSTANTS(:,29)./CONSTANTS(:,27)).*1.00000e-05)./(1.00000 - exp( - 1.00000e-05))).*(STATES(:,14) - CONSTANTS(:,26).*exp( - 1.00000e-05))))./(1.00000+CONSTANTS(:,28)./CONSTANTS(:,27)+( (CONSTANTS(:,29)./CONSTANTS(:,27)).*1.00000e-05)./(1.00000 - exp( - 1.00000e-05))));
ALGEBRAIC(:,58) = ALGEBRAIC(:,56).*ALGEBRAIC(:,50)+ ALGEBRAIC(:,49).*ALGEBRAIC(:,55);
ALGEBRAIC(:,61) = ( ALGEBRAIC(:,49).*ALGEBRAIC(:,38))./(CONSTANTS(:,90)+ALGEBRAIC(:,38));
ALGEBRAIC(:,64) = ( ( STATES(:,15).*ALGEBRAIC(:,58)+ STATES(:,17).*ALGEBRAIC(:,61)).*CONSTANTS(:,30))./CONSTANTS(:,7);
ALGEBRAIC(:,89) = 1.50000.*ALGEBRAIC(:,64);
RATES(:,14) = (CONSTANTS(:,9)./CONSTANTS(:,10)).*(( - ALGEBRAIC(:,89)+ALGEBRAIC(:,77)) - ALGEBRAIC(:,83));
ALGEBRAIC(:,91) = piecewise({VOI>300000., 1.00000 }, 1.00000);
ALGEBRAIC(:,92) = piecewise({ALGEBRAIC(:,91)>0.800000&ALGEBRAIC(:,91)<=1.15000, ALGEBRAIC(:,91) , ALGEBRAIC(:,91)>1.15000, 1.15000 }, 0.800000);
ALGEBRAIC(:,94) = CONSTANTS(:,68).*(1.00000+ CONSTANTS(:,70).*(ALGEBRAIC(:,92) - 1.00000));
ALGEBRAIC(:,95) = ( ALGEBRAIC(:,94).*CONSTANTS(:,61))./(ALGEBRAIC(:,94)+ (CONSTANTS(:,59)./CONSTANTS(:,58)).*(1.00000 - ( (1.00000+ CONSTANTS(:,71).*(ALGEBRAIC(:,92) - 1.00000)).*0.500000)./CONSTANTS(:,60)));
ALGEBRAIC(:,97) = CONSTANTS(:,61) - STATES(:,19);
ALGEBRAIC(:,98) = CONSTANTS(:,62).*power(ALGEBRAIC(:,97)./ALGEBRAIC(:,95), CONSTANTS(:,67));
ALGEBRAIC(:,90) = CONSTANTS(:,63)+( CONSTANTS(:,64).*power(STATES(:,18), CONSTANTS(:,65) - 1.00000))./(power(STATES(:,18), CONSTANTS(:,65))+power(CONSTANTS(:,66), CONSTANTS(:,65)));
RATES(:,18) = ALGEBRAIC(:,98).*(1.00000 - STATES(:,18)) - ALGEBRAIC(:,90).*STATES(:,18);
ALGEBRAIC(:,99) = 1.00000+ CONSTANTS(:,71).*(ALGEBRAIC(:,92) - 1.00000);
ALGEBRAIC(:,96) = (CONSTANTS(:,62)./power(ALGEBRAIC(:,95)./CONSTANTS(:,61), CONSTANTS(:,67)) - CONSTANTS(:,86))./(CONSTANTS(:,63)+CONSTANTS(:,89)+CONSTANTS(:,62)./power(ALGEBRAIC(:,95)./CONSTANTS(:,61), CONSTANTS(:,67)));
ALGEBRAIC(:,100) = ( CONSTANTS(:,72).*STATES(:,18))./ALGEBRAIC(:,96);
ALGEBRAIC(:,101) = ALGEBRAIC(:,100).*ALGEBRAIC(:,99);
ALGEBRAIC(:,102) = STATES(:,20)+STATES(:,21)+STATES(:,22);
ALGEBRAIC(:,103) = piecewise({ALGEBRAIC(:,102)<0.00000, ( ALGEBRAIC(:,101).*( CONSTANTS(:,73).*ALGEBRAIC(:,102)+1.00000))./(1.00000 - ALGEBRAIC(:,102)) }, ( ALGEBRAIC(:,101).*(1.00000+ (CONSTANTS(:,73)+2.00000).*ALGEBRAIC(:,102)))./(1.00000+ALGEBRAIC(:,102)));
ALGEBRAIC(:,104) = piecewise({1.00000 - ALGEBRAIC(:,103)./( CONSTANTS(:,60).*CONSTANTS(:,72))>0.100000, CONSTANTS(:,59).*(1.00000 - ALGEBRAIC(:,103)./( CONSTANTS(:,60).*CONSTANTS(:,72))) }, CONSTANTS(:,59).*0.100000);
ALGEBRAIC(:,105) = (CONSTANTS(:,61) - STATES(:,19)).*ALGEBRAIC(:,104) - STATES(:,13).*STATES(:,19).*CONSTANTS(:,58);
RATES(:,19) = ALGEBRAIC(:,105);
ALGEBRAIC(:,84) = power(1.00000+( CONSTANTS(:,56).*CONSTANTS(:,57))./power(CONSTANTS(:,56)+STATES(:,13), 2.00000), - 1.00000);
RATES(:,13) = ALGEBRAIC(:,84).*(((ALGEBRAIC(:,89) - ALGEBRAIC(:,77))+ALGEBRAIC(:,83)+ALGEBRAIC(:,105)) - ( - 2.00000.*ALGEBRAIC(:,86)+ALGEBRAIC(:,87)+ALGEBRAIC(:,88)+ALGEBRAIC(:,85))./( 2.00000.*CONSTANTS(:,9).*CONSTANTS(:,3)));
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(:,9) = 1.00000./(1.00000+exp((STATES(:,1)+87.5000)./10.3000));
ALGEBRAIC(:,2) = 1.00000./(1.00000+exp((STATES(:,1)+45.0000)./ - 6.50000));
ALGEBRAIC(:,13) = 1.36000./(( 0.320000.*(STATES(:,1)+47.1300))./(1.00000 - exp( - 0.100000.*(STATES(:,1)+47.1300)))+ 0.0800000.*exp( - STATES(:,1)./11.0000));
ALGEBRAIC(:,3) = 1.00000./(1.00000+exp((STATES(:,1)+76.1000)./6.07000));
ALGEBRAIC(:,14) = piecewise({STATES(:,1)>= - 40.0000, 0.453700.*(1.00000+exp( - (STATES(:,1)+10.6600)./11.1000)) }, 3.49000./( 0.135000.*exp( - (STATES(:,1)+80.0000)./6.80000)+ 3.56000.*exp( 0.0790000.*STATES(:,1))+ 310000..*exp( 0.350000.*STATES(:,1))));
ALGEBRAIC(:,4) = 1.00000./(1.00000+exp((STATES(:,1)+76.1000)./6.07000));
ALGEBRAIC(:,15) = piecewise({STATES(:,1)>= - 40.0000, ( 11.6300.*(1.00000+exp( - 0.100000.*(STATES(:,1)+32.0000))))./exp( - 2.53500e-07.*STATES(:,1)) }, 3.49000./( ((STATES(:,1)+37.7800)./(1.00000+exp( 0.311000.*(STATES(:,1)+79.2300)))).*( - 127140..*exp( 0.244400.*STATES(:,1)) - 3.47400e-05.*exp( - 0.0439100.*STATES(:,1)))+( 0.121200.*exp( - 0.0105200.*STATES(:,1)))./(1.00000+exp( - 0.137800.*(STATES(:,1)+40.1400)))));
ALGEBRAIC(:,16) = 1000.00./( 45.1600.*exp( 0.0357700.*(STATES(:,1)+50.0000))+ 98.9000.*exp( - 0.100000.*(STATES(:,1)+38.0000)));
ALGEBRAIC(:,5) = 1.00000./(1.00000+exp((STATES(:,1)+10.6000)./ - 11.4200));
ALGEBRAIC(:,17) = 550.000.*exp( - power((STATES(:,1)+70.0000)./25.0000, 2.00000))+49.0000;
ALGEBRAIC(:,6) = 1.00000./(1.00000+exp((STATES(:,1)+45.3000)./6.88410));
ALGEBRAIC(:,18) = 3300.00.*exp( - power((STATES(:,1)+70.0000)./30.0000, 2.00000))+49.0000;
ALGEBRAIC(:,7) = 1.00000./(1.00000+exp((STATES(:,1)+45.3000)./6.88410));
ALGEBRAIC(:,19) = 10000.0./( 45.1600.*exp( 0.0357700.*(STATES(:,1)+50.0000))+ 98.9000.*exp( - 0.100000.*(STATES(:,1)+38.0000)));
ALGEBRAIC(:,8) = 1.00000./(1.00000+exp((STATES(:,1)+11.5000)./ - 11.8200));
ALGEBRAIC(:,20) = 1000.00./( 0.118850.*exp((STATES(:,1)+80.0000)./28.3700)+ 0.562300.*exp((STATES(:,1)+80.0000)./ - 14.1900));
ALGEBRAIC(:,10) = 1.00000./(1.00000+exp((STATES(:,1)+138.600)./10.4800));
ALGEBRAIC(:,1) = piecewise({VOI>=5000.00&VOI<=10000.0, 500.000 }, 1000.00);
ALGEBRAIC(:,12) = piecewise({VOI - floor(VOI./ALGEBRAIC(:,1)).*ALGEBRAIC(:,1)>=0.00000&VOI - floor(VOI./ALGEBRAIC(:,1)).*ALGEBRAIC(:,1)<=CONSTANTS(:,5), CONSTANTS(:,6) }, 0.00000);
ALGEBRAIC(:,26) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,16)./STATES(:,6));
ALGEBRAIC(:,27) = CONSTANTS(:,81).*STATES(:,7).*( CONSTANTS(:,14).*STATES(:,8)+ CONSTANTS(:,15).*STATES(:,9)).*(STATES(:,1) - ALGEBRAIC(:,26));
ALGEBRAIC(:,28) = CONSTANTS(:,17).*STATES(:,10).*STATES(:,11).*(STATES(:,1) - ALGEBRAIC(:,26));
ALGEBRAIC(:,29) = (0.0480000./(exp((STATES(:,1)+37.0000)./25.0000)+exp((STATES(:,1)+37.0000)./ - 25.0000))+0.0100000).*(0.00100000./(1.00000+exp((STATES(:,1) - (ALGEBRAIC(:,26)+76.7700))./ - 17.0000)))+( CONSTANTS(:,18).*(STATES(:,1) - (ALGEBRAIC(:,26)+1.73000)))./( (1.00000+exp(( 1.61300.*CONSTANTS(:,3).*(STATES(:,1) - (ALGEBRAIC(:,26)+1.73000)))./( CONSTANTS(:,1).*CONSTANTS(:,2)))).*(1.00000+exp((CONSTANTS(:,16) - 0.998800)./ - 0.124000)));
ALGEBRAIC(:,34) = CONSTANTS(:,22).*(STATES(:,1) - ALGEBRAIC(:,26));
ALGEBRAIC(:,35) = ( (( (( CONSTANTS(:,23).*1.00000)./(1.00000+ 0.124500.*exp(( - 0.100000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))+ 0.0365000.*CONSTANTS(:,84).*exp(( - STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*CONSTANTS(:,16))./(CONSTANTS(:,16)+CONSTANTS(:,24))).*1.00000)./(1.00000+power(CONSTANTS(:,25)./STATES(:,2), 4.00000));
ALGEBRAIC(:,31) = CONSTANTS(:,19).*STATES(:,12).*CONSTANTS(:,83).*(STATES(:,1) - ALGEBRAIC(:,26));
ALGEBRAIC(:,21) = ( CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2));
ALGEBRAIC(:,22) = 2.00000.*ALGEBRAIC(:,21);
ALGEBRAIC(:,45) = piecewise({abs(ALGEBRAIC(:,22))>1.00000e-09, (STATES(:,13)+( (CONSTANTS(:,29)./CONSTANTS(:,27)).*CONSTANTS(:,26).*ALGEBRAIC(:,22).*exp( - ALGEBRAIC(:,22)))./(1.00000 - exp( - ALGEBRAIC(:,22))))./(1.00000+( (CONSTANTS(:,29)./CONSTANTS(:,27)).*ALGEBRAIC(:,22))./(1.00000 - exp( - ALGEBRAIC(:,22)))) }, (STATES(:,13)+ (CONSTANTS(:,29)./CONSTANTS(:,27)).*CONSTANTS(:,26))./(1.00000+CONSTANTS(:,29)./CONSTANTS(:,27)));
ALGEBRAIC(:,47) = (power(ALGEBRAIC(:,45), 2.00000)+ CONSTANTS(:,43).*power(CONSTANTS(:,39), 2.00000))./( CONSTANTS(:,36).*(power(ALGEBRAIC(:,45), 2.00000)+power(CONSTANTS(:,39), 2.00000)));
ALGEBRAIC(:,41) = (power(STATES(:,13), 2.00000)+ CONSTANTS(:,43).*power(CONSTANTS(:,39), 2.00000))./( CONSTANTS(:,36).*(power(STATES(:,13), 2.00000)+power(CONSTANTS(:,39), 2.00000)));
ALGEBRAIC(:,36) = exp((STATES(:,1) - CONSTANTS(:,31))./CONSTANTS(:,32));
ALGEBRAIC(:,37) = ALGEBRAIC(:,36)./( CONSTANTS(:,34).*(ALGEBRAIC(:,36)+1.00000));
ALGEBRAIC(:,38) = power(STATES(:,13), 2.00000)./( CONSTANTS(:,85).*(power(STATES(:,13), 2.00000)+power(CONSTANTS(:,39), 2.00000)));
ALGEBRAIC(:,46) = power(ALGEBRAIC(:,45), 2.00000)./( CONSTANTS(:,85).*(power(ALGEBRAIC(:,45), 2.00000)+power(CONSTANTS(:,39), 2.00000)));
ALGEBRAIC(:,53) = (ALGEBRAIC(:,37)+CONSTANTS(:,88)).*( (CONSTANTS(:,88)+CONSTANTS(:,90)+ALGEBRAIC(:,46)).*(CONSTANTS(:,90)+ALGEBRAIC(:,38))+ ALGEBRAIC(:,37).*(CONSTANTS(:,90)+ALGEBRAIC(:,46)));
ALGEBRAIC(:,54) = ( ALGEBRAIC(:,37).*CONSTANTS(:,90).*(ALGEBRAIC(:,37)+CONSTANTS(:,88)+CONSTANTS(:,90)+ALGEBRAIC(:,38)))./ALGEBRAIC(:,53);
ALGEBRAIC(:,57) = ( CONSTANTS(:,88).*CONSTANTS(:,90).*(CONSTANTS(:,88)+ALGEBRAIC(:,37)+CONSTANTS(:,90)+ALGEBRAIC(:,46)))./ALGEBRAIC(:,53);
ALGEBRAIC(:,60) = ALGEBRAIC(:,54).*ALGEBRAIC(:,47)+ ALGEBRAIC(:,57).*ALGEBRAIC(:,41);
ALGEBRAIC(:,48) = ( CONSTANTS(:,38).*CONSTANTS(:,44).*(power(ALGEBRAIC(:,45), 2.00000)+ CONSTANTS(:,43).*power(CONSTANTS(:,39), 2.00000)))./( CONSTANTS(:,36).*( CONSTANTS(:,44).*power(ALGEBRAIC(:,45), 2.00000)+ CONSTANTS(:,43).*power(CONSTANTS(:,39), 2.00000)));
ALGEBRAIC(:,42) = ( CONSTANTS(:,38).*CONSTANTS(:,44).*(power(STATES(:,13), 2.00000)+ CONSTANTS(:,43).*power(CONSTANTS(:,39), 2.00000)))./( CONSTANTS(:,36).*( CONSTANTS(:,44).*power(STATES(:,13), 2.00000)+ CONSTANTS(:,43).*power(CONSTANTS(:,39), 2.00000)));
ALGEBRAIC(:,63) = ( ALGEBRAIC(:,37).*ALGEBRAIC(:,48)+ CONSTANTS(:,88).*ALGEBRAIC(:,42))./(ALGEBRAIC(:,37)+CONSTANTS(:,88));
ALGEBRAIC(:,43) = (STATES(:,13)+ (CONSTANTS(:,28)./CONSTANTS(:,27)).*STATES(:,14))./(1.00000+CONSTANTS(:,28)./CONSTANTS(:,27));
ALGEBRAIC(:,44) = ( ALGEBRAIC(:,43).*(ALGEBRAIC(:,36)+CONSTANTS(:,41)))./( CONSTANTS(:,35).*CONSTANTS(:,40).*(ALGEBRAIC(:,36)+1.00000));
ALGEBRAIC(:,39) = ( STATES(:,13).*(ALGEBRAIC(:,36)+CONSTANTS(:,41)))./( CONSTANTS(:,35).*CONSTANTS(:,40).*(ALGEBRAIC(:,36)+1.00000));
ALGEBRAIC(:,55) = ( CONSTANTS(:,88).*( ALGEBRAIC(:,38).*(CONSTANTS(:,88)+CONSTANTS(:,90)+ALGEBRAIC(:,46))+ ALGEBRAIC(:,46).*ALGEBRAIC(:,37)))./ALGEBRAIC(:,53);
ALGEBRAIC(:,72) = ALGEBRAIC(:,55).*ALGEBRAIC(:,44)+ ALGEBRAIC(:,57).*ALGEBRAIC(:,39);
ALGEBRAIC(:,40) = ( CONSTANTS(:,42).*(ALGEBRAIC(:,36)+CONSTANTS(:,41)))./( CONSTANTS(:,35).*( CONSTANTS(:,42).*ALGEBRAIC(:,36)+CONSTANTS(:,41)));
ALGEBRAIC(:,74) = ALGEBRAIC(:,40);
ALGEBRAIC(:,76) = ( CONSTANTS(:,88).*ALGEBRAIC(:,39))./(ALGEBRAIC(:,37)+CONSTANTS(:,88));
ALGEBRAIC(:,78) = ALGEBRAIC(:,40);
ALGEBRAIC(:,80) = ((1.00000 - STATES(:,15)) - STATES(:,16)) - STATES(:,17);
ALGEBRAIC(:,66) = ( CONSTANTS(:,90).*ALGEBRAIC(:,41))./(CONSTANTS(:,90)+ALGEBRAIC(:,38));
ALGEBRAIC(:,69) = ALGEBRAIC(:,42);
ALGEBRAIC(:,24) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,12)./STATES(:,2));
ALGEBRAIC(:,25) = CONSTANTS(:,80).*power(STATES(:,3), 3.00000).*STATES(:,4).*STATES(:,5).*(STATES(:,1) - ALGEBRAIC(:,24));
ALGEBRAIC(:,33) = CONSTANTS(:,21).*(STATES(:,1) - ALGEBRAIC(:,24));
ALGEBRAIC(:,75) = ( CONSTANTS(:,49).*( exp( CONSTANTS(:,47).*ALGEBRAIC(:,21)).*power(STATES(:,2), 3.00000).*CONSTANTS(:,26) - exp( (CONSTANTS(:,47) - 1.00000).*ALGEBRAIC(:,21)).*power(CONSTANTS(:,12), 3.00000).*STATES(:,13)))./( (power(CONSTANTS(:,12), 3.00000)+power(CONSTANTS(:,45), 3.00000)).*(CONSTANTS(:,26)+CONSTANTS(:,46)).*(1.00000+ CONSTANTS(:,48).*exp( (CONSTANTS(:,47) - 1.00000).*ALGEBRAIC(:,21))));
ALGEBRAIC(:,86) = ALGEBRAIC(:,75).*CONSTANTS(:,9).*CONSTANTS(:,3);
ALGEBRAIC(:,30) = CONSTANTS(:,19).*STATES(:,12).*CONSTANTS(:,20).*(STATES(:,1) - ALGEBRAIC(:,24));
ALGEBRAIC(:,32) = ALGEBRAIC(:,30)+ALGEBRAIC(:,31);
ALGEBRAIC(:,52) = piecewise({abs(ALGEBRAIC(:,22))>1.00000e-05, ( (( CONSTANTS(:,29).*ALGEBRAIC(:,22))./(1.00000 - exp( - ALGEBRAIC(:,22)))).*(( CONSTANTS(:,26).*exp( - ALGEBRAIC(:,22)) - STATES(:,13))+ (CONSTANTS(:,28)./CONSTANTS(:,27)).*( CONSTANTS(:,26).*exp( - ALGEBRAIC(:,22)) - STATES(:,14))))./(1.00000+CONSTANTS(:,28)./CONSTANTS(:,27)+( (CONSTANTS(:,29)./CONSTANTS(:,27)).*ALGEBRAIC(:,22))./(1.00000 - exp(ALGEBRAIC(:,22)))) }, ( (( CONSTANTS(:,29).*1.00000e-05)./(1.00000 - exp( - 1.00000e-05))).*(( CONSTANTS(:,26).*exp( - 1.00000e-05) - STATES(:,13))+ (CONSTANTS(:,28)./CONSTANTS(:,27)).*( CONSTANTS(:,26).*exp( - 1.00000e-05) - STATES(:,14))))./(1.00000+CONSTANTS(:,28)./CONSTANTS(:,27)+( (CONSTANTS(:,29)./CONSTANTS(:,27)).*1.00000e-05)./(1.00000 - exp( - 1.00000e-05))));
ALGEBRAIC(:,51) = piecewise({abs(ALGEBRAIC(:,22))>1.00000e-05, ( (( CONSTANTS(:,29).*ALGEBRAIC(:,22))./(1.00000 - exp( - ALGEBRAIC(:,22)))).*( CONSTANTS(:,26).*exp( - ALGEBRAIC(:,22)) - STATES(:,13)))./(1.00000+( (CONSTANTS(:,29)./CONSTANTS(:,27)).*ALGEBRAIC(:,22))./(1.00000 - exp( - ALGEBRAIC(:,22)))) }, ( (( CONSTANTS(:,29).*1.00000e-05)./(1.00000 - exp( - 1.00000e-05))).*( CONSTANTS(:,26).*exp( - 1.00000e-05) - STATES(:,13)))./(1.00000+( (CONSTANTS(:,29)./CONSTANTS(:,27)).*1.00000e-05)./(1.00000 - exp( - 1.00000e-05))));
ALGEBRAIC(:,56) = ( ALGEBRAIC(:,37).*( ALGEBRAIC(:,46).*(ALGEBRAIC(:,37)+CONSTANTS(:,90)+ALGEBRAIC(:,38))+ ALGEBRAIC(:,38).*CONSTANTS(:,88)))./ALGEBRAIC(:,53);
ALGEBRAIC(:,67) = ALGEBRAIC(:,52).*ALGEBRAIC(:,56)+ ALGEBRAIC(:,51).*ALGEBRAIC(:,54);
ALGEBRAIC(:,70) = ( ALGEBRAIC(:,51).*ALGEBRAIC(:,37))./(ALGEBRAIC(:,37)+CONSTANTS(:,88));
ALGEBRAIC(:,73) = ( ( STATES(:,15).*ALGEBRAIC(:,67)+ STATES(:,16).*ALGEBRAIC(:,70)).*CONSTANTS(:,30))./CONSTANTS(:,7);
ALGEBRAIC(:,85) = - 1.50000.*ALGEBRAIC(:,73).*2.00000.*CONSTANTS(:,9).*CONSTANTS(:,3);
ALGEBRAIC(:,79) = ( CONSTANTS(:,52).*STATES(:,13))./(CONSTANTS(:,53)+STATES(:,13));
ALGEBRAIC(:,87) = ALGEBRAIC(:,79).*2.00000.*CONSTANTS(:,9).*CONSTANTS(:,3);
ALGEBRAIC(:,81) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./( 2.00000.*CONSTANTS(:,3))).*log(CONSTANTS(:,26)./STATES(:,13));
ALGEBRAIC(:,82) = CONSTANTS(:,54).*(ALGEBRAIC(:,81) - STATES(:,1));
ALGEBRAIC(:,88) = - ALGEBRAIC(:,82).*2.00000.*CONSTANTS(:,9).*CONSTANTS(:,3);
ALGEBRAIC(:,77) = ( CONSTANTS(:,50).*power(STATES(:,13), 2.00000))./(power(CONSTANTS(:,51), 2.00000)+power(STATES(:,13), 2.00000));
ALGEBRAIC(:,83) = CONSTANTS(:,55).*(STATES(:,14) - STATES(:,13));
ALGEBRAIC(:,49) = ( CONSTANTS(:,28).*(STATES(:,14) - STATES(:,13)))./(1.00000+CONSTANTS(:,28)./CONSTANTS(:,27));
ALGEBRAIC(:,50) = piecewise({abs(ALGEBRAIC(:,22))>1.00000e-05, ( CONSTANTS(:,28).*((STATES(:,14) - STATES(:,13))+ (( (CONSTANTS(:,29)./CONSTANTS(:,27)).*ALGEBRAIC(:,22))./(1.00000 - exp( - ALGEBRAIC(:,22)))).*(STATES(:,14) - CONSTANTS(:,26).*exp( - ALGEBRAIC(:,22)))))./(1.00000+CONSTANTS(:,28)./CONSTANTS(:,27)+( (CONSTANTS(:,29)./CONSTANTS(:,27)).*ALGEBRAIC(:,22))./(1.00000 - exp( - ALGEBRAIC(:,22)))) }, ( CONSTANTS(:,28).*((STATES(:,14) - STATES(:,13))+ (( (CONSTANTS(:,29)./CONSTANTS(:,27)).*1.00000e-05)./(1.00000 - exp( - 1.00000e-05))).*(STATES(:,14) - CONSTANTS(:,26).*exp( - 1.00000e-05))))./(1.00000+CONSTANTS(:,28)./CONSTANTS(:,27)+( (CONSTANTS(:,29)./CONSTANTS(:,27)).*1.00000e-05)./(1.00000 - exp( - 1.00000e-05))));
ALGEBRAIC(:,58) = ALGEBRAIC(:,56).*ALGEBRAIC(:,50)+ ALGEBRAIC(:,49).*ALGEBRAIC(:,55);
ALGEBRAIC(:,61) = ( ALGEBRAIC(:,49).*ALGEBRAIC(:,38))./(CONSTANTS(:,90)+ALGEBRAIC(:,38));
ALGEBRAIC(:,64) = ( ( STATES(:,15).*ALGEBRAIC(:,58)+ STATES(:,17).*ALGEBRAIC(:,61)).*CONSTANTS(:,30))./CONSTANTS(:,7);
ALGEBRAIC(:,89) = 1.50000.*ALGEBRAIC(:,64);
ALGEBRAIC(:,91) = piecewise({VOI>300000., 1.00000 }, 1.00000);
ALGEBRAIC(:,92) = piecewise({ALGEBRAIC(:,91)>0.800000&ALGEBRAIC(:,91)<=1.15000, ALGEBRAIC(:,91) , ALGEBRAIC(:,91)>1.15000, 1.15000 }, 0.800000);
ALGEBRAIC(:,94) = CONSTANTS(:,68).*(1.00000+ CONSTANTS(:,70).*(ALGEBRAIC(:,92) - 1.00000));
ALGEBRAIC(:,95) = ( ALGEBRAIC(:,94).*CONSTANTS(:,61))./(ALGEBRAIC(:,94)+ (CONSTANTS(:,59)./CONSTANTS(:,58)).*(1.00000 - ( (1.00000+ CONSTANTS(:,71).*(ALGEBRAIC(:,92) - 1.00000)).*0.500000)./CONSTANTS(:,60)));
ALGEBRAIC(:,97) = CONSTANTS(:,61) - STATES(:,19);
ALGEBRAIC(:,98) = CONSTANTS(:,62).*power(ALGEBRAIC(:,97)./ALGEBRAIC(:,95), CONSTANTS(:,67));
ALGEBRAIC(:,90) = CONSTANTS(:,63)+( CONSTANTS(:,64).*power(STATES(:,18), CONSTANTS(:,65) - 1.00000))./(power(STATES(:,18), CONSTANTS(:,65))+power(CONSTANTS(:,66), CONSTANTS(:,65)));
ALGEBRAIC(:,99) = 1.00000+ CONSTANTS(:,71).*(ALGEBRAIC(:,92) - 1.00000);
ALGEBRAIC(:,96) = (CONSTANTS(:,62)./power(ALGEBRAIC(:,95)./CONSTANTS(:,61), CONSTANTS(:,67)) - CONSTANTS(:,86))./(CONSTANTS(:,63)+CONSTANTS(:,89)+CONSTANTS(:,62)./power(ALGEBRAIC(:,95)./CONSTANTS(:,61), CONSTANTS(:,67)));
ALGEBRAIC(:,100) = ( CONSTANTS(:,72).*STATES(:,18))./ALGEBRAIC(:,96);
ALGEBRAIC(:,101) = ALGEBRAIC(:,100).*ALGEBRAIC(:,99);
ALGEBRAIC(:,102) = STATES(:,20)+STATES(:,21)+STATES(:,22);
ALGEBRAIC(:,103) = piecewise({ALGEBRAIC(:,102)<0.00000, ( ALGEBRAIC(:,101).*( CONSTANTS(:,73).*ALGEBRAIC(:,102)+1.00000))./(1.00000 - ALGEBRAIC(:,102)) }, ( ALGEBRAIC(:,101).*(1.00000+ (CONSTANTS(:,73)+2.00000).*ALGEBRAIC(:,102)))./(1.00000+ALGEBRAIC(:,102)));
ALGEBRAIC(:,104) = piecewise({1.00000 - ALGEBRAIC(:,103)./( CONSTANTS(:,60).*CONSTANTS(:,72))>0.100000, CONSTANTS(:,59).*(1.00000 - ALGEBRAIC(:,103)./( CONSTANTS(:,60).*CONSTANTS(:,72))) }, CONSTANTS(:,59).*0.100000);
ALGEBRAIC(:,105) = (CONSTANTS(:,61) - STATES(:,19)).*ALGEBRAIC(:,104) - STATES(:,13).*STATES(:,19).*CONSTANTS(:,58);
ALGEBRAIC(:,84) = power(1.00000+( CONSTANTS(:,56).*CONSTANTS(:,57))./power(CONSTANTS(:,56)+STATES(:,13), 2.00000), - 1.00000);
ALGEBRAIC(:,11) = STATES(:,13);
ALGEBRAIC(:,23) = piecewise({abs(ALGEBRAIC(:,22))>1.00000e-09, (STATES(:,13)+ (CONSTANTS(:,28)./CONSTANTS(:,27)).*STATES(:,14)+( (CONSTANTS(:,29)./CONSTANTS(:,27)).*CONSTANTS(:,26).*ALGEBRAIC(:,22).*exp( - ALGEBRAIC(:,22)))./(1.00000 - exp( - ALGEBRAIC(:,22))))./(1.00000+CONSTANTS(:,28)./CONSTANTS(:,27)+( (CONSTANTS(:,29)./CONSTANTS(:,27)).*ALGEBRAIC(:,22))./(1.00000 - exp( - ALGEBRAIC(:,22)))) }, (STATES(:,13)+ (CONSTANTS(:,28)./CONSTANTS(:,27)).*STATES(:,14)+ (CONSTANTS(:,29)./CONSTANTS(:,27)).*CONSTANTS(:,26))./(1.00000+CONSTANTS(:,28)./CONSTANTS(:,27)+CONSTANTS(:,29)./CONSTANTS(:,27)));
ALGEBRAIC(:,59) = CONSTANTS(:,88)./(ALGEBRAIC(:,37)+CONSTANTS(:,88));
ALGEBRAIC(:,62) = ALGEBRAIC(:,37)./(ALGEBRAIC(:,37)+CONSTANTS(:,88));
ALGEBRAIC(:,65) = CONSTANTS(:,90)./(ALGEBRAIC(:,38)+CONSTANTS(:,90));
ALGEBRAIC(:,68) = ALGEBRAIC(:,38)./(ALGEBRAIC(:,38)+CONSTANTS(:,90));
ALGEBRAIC(:,71) = (((((((1.00000 - ALGEBRAIC(:,54)) - ALGEBRAIC(:,55)) - ALGEBRAIC(:,56)) - ALGEBRAIC(:,57)) - ALGEBRAIC(:,59)) - ALGEBRAIC(:,65)) - ALGEBRAIC(:,62)) - ALGEBRAIC(:,68);
ALGEBRAIC(:,93) = ALGEBRAIC(:,91);
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