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 =115; end % There are a total of 30 entries in each of the rate and state variable arrays. % There are a total of 83 entries in the constant variable array. % function [VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel() % Create ALGEBRAIC of correct size global algebraicVariableCount; algebraicVariableCount = getAlgebraicVariableCount(); % Initialise constants and state variables [INIT_STATES, CONSTANTS] = initConsts; % Set timespan to solve over tspan = [0, 10]; % Set numerical accuracy options for ODE solver options = odeset('RelTol', 1e-06, 'AbsTol', 1e-06, 'MaxStep', 1); % Solve model with ODE solver [VOI, STATES] = ode15s(@(VOI, STATES)computeRates(VOI, STATES, CONSTANTS), tspan, INIT_STATES, options); % Compute algebraic variables [RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS); ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI); % Plot state variables against variable of integration [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends(); figure(); plot(VOI, STATES); xlabel(LEGEND_VOI); l = legend(LEGEND_STATES); set(l,'Interpreter','none'); end function [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends() LEGEND_STATES = ''; LEGEND_ALGEBRAIC = ''; LEGEND_VOI = ''; LEGEND_CONSTANTS = ''; LEGEND_VOI = strpad('time in component environment (millisecond)'); LEGEND_STATES(:,1) = strpad('V in component membrane (millivolt)'); LEGEND_ALGEBRAIC(:,1) = strpad('i_stim in component membrane (microA_per_microF)'); LEGEND_ALGEBRAIC(:,93) = strpad('i_tot in component membrane (microA_per_microF)'); LEGEND_ALGEBRAIC(:,58) = strpad('i_Na in component i_Na (microA_per_microF)'); LEGEND_ALGEBRAIC(:,59) = strpad('i_Na_L in component i_Na_L (microA_per_microF)'); LEGEND_ALGEBRAIC(:,61) = strpad('i_Ca_L in component i_Ca_L (microA_per_microF)'); LEGEND_ALGEBRAIC(:,65) = strpad('i_Ca_T in component i_Ca_T (microA_per_microF)'); LEGEND_ALGEBRAIC(:,68) = strpad('i_to_1 in component i_to_1 (microA_per_microF)'); LEGEND_ALGEBRAIC(:,80) = strpad('i_to_2 in component i_to_2 (microA_per_microF)'); LEGEND_ALGEBRAIC(:,70) = strpad('i_Kr in component i_Kr (microA_per_microF)'); LEGEND_ALGEBRAIC(:,72) = strpad('i_Ks in component i_Ks (microA_per_microF)'); LEGEND_ALGEBRAIC(:,76) = strpad('i_K1 in component i_K1 (microA_per_microF)'); LEGEND_ALGEBRAIC(:,83) = strpad('i_NaCa in component i_NaCa (microA_per_microF)'); LEGEND_ALGEBRAIC(:,85) = strpad('i_NaK in component i_NaK (microA_per_microF)'); LEGEND_ALGEBRAIC(:,89) = strpad('i_Na_b in component background_currents (microA_per_microF)'); LEGEND_ALGEBRAIC(:,92) = strpad('i_Ca_b in component background_currents (microA_per_microF)'); LEGEND_ALGEBRAIC(:,90) = strpad('i_K_b in component background_currents (microA_per_microF)'); LEGEND_ALGEBRAIC(:,91) = strpad('i_Cl_b in component background_currents (microA_per_microF)'); LEGEND_ALGEBRAIC(:,86) = strpad('i_Ca_p in component i_Ca_p (microA_per_microF)'); LEGEND_ALGEBRAIC(:,78) = strpad('i_K_p in component i_K_p (microA_per_microF)'); LEGEND_CONSTANTS(:,1) = strpad('stim_start in component membrane (millisecond)'); LEGEND_CONSTANTS(:,2) = strpad('stim_end in component membrane (millisecond)'); LEGEND_CONSTANTS(:,3) = strpad('stim_amplitude in component membrane (microA_per_microF)'); LEGEND_ALGEBRAIC(:,20) = strpad('E_Na in component equilibrium_potentials (millivolt)'); LEGEND_ALGEBRAIC(:,37) = strpad('E_K in component equilibrium_potentials (millivolt)'); LEGEND_ALGEBRAIC(:,2) = strpad('E_Ca in component equilibrium_potentials (millivolt)'); LEGEND_ALGEBRAIC(:,47) = strpad('E_Cl in component equilibrium_potentials (millivolt)'); LEGEND_ALGEBRAIC(:,57) = strpad('E_Ks in component equilibrium_potentials (millivolt)'); LEGEND_CONSTANTS(:,4) = strpad('r_NaK in component equilibrium_potentials (dimensionless)'); LEGEND_STATES(:,2) = strpad('Na_i in component intracellular_ion_concentrations (millimolar)'); LEGEND_CONSTANTS(:,5) = strpad('Na_o in component model_parameters (millimolar)'); LEGEND_STATES(:,3) = strpad('Ca_i in component Ca_i (millimolar)'); LEGEND_CONSTANTS(:,6) = strpad('Ca_o in component model_parameters (millimolar)'); LEGEND_STATES(:,4) = strpad('K_i in component intracellular_ion_concentrations (millimolar)'); LEGEND_CONSTANTS(:,7) = strpad('K_o in component model_parameters (millimolar)'); LEGEND_STATES(:,5) = strpad('Cl_i in component intracellular_ion_concentrations (millimolar)'); LEGEND_CONSTANTS(:,8) = strpad('Cl_o in component model_parameters (millimolar)'); LEGEND_CONSTANTS(:,9) = strpad('R in component model_parameters (joule_per_kilomole_kelvin)'); LEGEND_CONSTANTS(:,10) = strpad('F in component model_parameters (coulomb_per_mole)'); LEGEND_CONSTANTS(:,11) = strpad('T in component model_parameters (kelvin)'); LEGEND_CONSTANTS(:,12) = strpad('g_Na in component i_Na (milliS_per_microF)'); LEGEND_STATES(:,6) = strpad('m in component i_Na_m_gate (dimensionless)'); LEGEND_STATES(:,7) = strpad('h in component i_Na_h_gate (dimensionless)'); LEGEND_STATES(:,8) = strpad('j in component i_Na_j_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,48) = strpad('tau_m in component i_Na_m_gate (millisecond)'); LEGEND_ALGEBRAIC(:,38) = strpad('m_infinity in component i_Na_m_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,3) = strpad('alpha_m in component i_Na_m_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,21) = strpad('beta_m in component i_Na_m_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,49) = strpad('tau_h in component i_Na_h_gate (millisecond)'); LEGEND_ALGEBRAIC(:,39) = strpad('h_infinity in component i_Na_h_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,4) = strpad('alpha_h in component i_Na_h_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,22) = strpad('beta_h in component i_Na_h_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,50) = strpad('tau_j in component i_Na_j_gate (millisecond)'); LEGEND_ALGEBRAIC(:,40) = strpad('j_infinity in component i_Na_j_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,5) = strpad('alpha_j in component i_Na_j_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,23) = strpad('beta_j in component i_Na_j_gate (per_millisecond)'); LEGEND_CONSTANTS(:,13) = strpad('g_Na_L in component i_Na_L (milliS_per_microF)'); LEGEND_STATES(:,9) = strpad('m_L in component i_Na_L_m_L_gate (dimensionless)'); LEGEND_STATES(:,10) = strpad('h_L in component i_Na_L_h_L_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,51) = strpad('tau_m_L in component i_Na_L_m_L_gate (millisecond)'); LEGEND_ALGEBRAIC(:,41) = strpad('m_L_infinity in component i_Na_L_m_L_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,6) = strpad('alpha_m_L in component i_Na_L_m_L_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,24) = strpad('beta_m_L in component i_Na_L_m_L_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,25) = strpad('tau_h_L in component i_Na_L_h_L_gate (millisecond)'); LEGEND_ALGEBRAIC(:,7) = strpad('h_L_infinity in component i_Na_L_h_L_gate (dimensionless)'); LEGEND_CONSTANTS(:,14) = strpad('g_Ca_L in component i_Ca_L (dimensionless)'); LEGEND_ALGEBRAIC(:,60) = strpad('i_Ca_L_max in component i_Ca_L (microA_per_microF)'); LEGEND_CONSTANTS(:,15) = strpad('p_Ca in component i_Ca_L (cm_per_second)'); LEGEND_CONSTANTS(:,16) = strpad('z_Ca in component model_parameters (dimensionless)'); LEGEND_CONSTANTS(:,17) = strpad('gamma_Cai in component model_parameters (dimensionless)'); LEGEND_CONSTANTS(:,18) = strpad('gamma_Cao in component model_parameters (dimensionless)'); LEGEND_STATES(:,11) = strpad('Ca_r in component Ca_r (millimolar)'); LEGEND_ALGEBRAIC(:,98) = strpad('Ca_MK_act in component Ca_MK_act (dimensionless)'); LEGEND_CONSTANTS(:,19) = strpad('km_Ca_MK in component Ca_MK_act (millimolar)'); LEGEND_STATES(:,12) = strpad('d in component i_Ca_L_d_gate (dimensionless)'); LEGEND_STATES(:,13) = strpad('f in component i_Ca_L_f_gate (dimensionless)'); LEGEND_STATES(:,14) = strpad('f2 in component i_Ca_L_f2_gate (dimensionless)'); LEGEND_STATES(:,15) = strpad('f_Ca in component i_Ca_L_f_Ca_gate (dimensionless)'); LEGEND_STATES(:,16) = strpad('f_Ca2 in component i_Ca_L_f_Ca2_gate (dimensionless)'); LEGEND_CONSTANTS(:,20) = strpad('Cm in component model_parameters (microF_per_cm2)'); LEGEND_ALGEBRAIC(:,8) = strpad('d_infinity in component i_Ca_L_d_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,26) = strpad('tau_d in component i_Ca_L_d_gate (millisecond)'); LEGEND_ALGEBRAIC(:,9) = strpad('f_infinity in component i_Ca_L_f_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,27) = strpad('tau_f in component i_Ca_L_f_gate (millisecond)'); LEGEND_ALGEBRAIC(:,10) = strpad('f2_infinity in component i_Ca_L_f2_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,28) = strpad('tau_f2 in component i_Ca_L_f2_gate (millisecond)'); LEGEND_ALGEBRAIC(:,62) = strpad('f_Ca_infinity in component i_Ca_L_f_Ca_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,99) = strpad('tau_f_Ca in component i_Ca_L_f_Ca_gate (millisecond)'); LEGEND_ALGEBRAIC(:,63) = strpad('f_Ca2_infinity in component i_Ca_L_f_Ca2_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,66) = strpad('tau_f_Ca2 in component i_Ca_L_f_Ca2_gate (millisecond)'); LEGEND_CONSTANTS(:,21) = strpad('g_Ca_T in component i_Ca_T (milliS_per_microF)'); LEGEND_STATES(:,17) = strpad('b in component i_Ca_T_b_gate (dimensionless)'); LEGEND_STATES(:,18) = strpad('g in component i_Ca_T_g_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,52) = strpad('tau_b in component i_Ca_T_b_gate (millisecond)'); LEGEND_ALGEBRAIC(:,42) = strpad('b_infinity in component i_Ca_T_b_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,11) = strpad('alpha_b in component i_Ca_T_b_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,29) = strpad('beta_b in component i_Ca_T_b_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,53) = strpad('tau_g in component i_Ca_T_g_gate (millisecond)'); LEGEND_ALGEBRAIC(:,43) = strpad('g_infinity in component i_Ca_T_g_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,12) = strpad('alpha_g in component i_Ca_T_g_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,30) = strpad('beta_g in component i_Ca_T_g_gate (per_millisecond)'); LEGEND_CONSTANTS(:,22) = strpad('g_to_1 in component i_to_1 (milliS_per_microF)'); LEGEND_STATES(:,19) = strpad('a in component i_to_1_a_gate (dimensionless)'); LEGEND_STATES(:,20) = strpad('i in component i_to_1_i_gate (dimensionless)'); LEGEND_STATES(:,21) = strpad('i2 in component i_to_1_i2_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,13) = strpad('alpha_a in component i_to_1_a_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,31) = strpad('beta_a in component i_to_1_a_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,44) = strpad('tau_a in component i_to_1_a_gate (millisecond)'); LEGEND_ALGEBRAIC(:,54) = strpad('a_infinity in component i_to_1_a_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,14) = strpad('alpha_i in component i_to_1_i_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,32) = strpad('beta_i in component i_to_1_i_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,45) = strpad('tau_i in component i_to_1_i_gate (millisecond)'); LEGEND_ALGEBRAIC(:,55) = strpad('i_infinity in component i_to_1_i_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,15) = strpad('alpha_i2 in component i_to_1_i2_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,33) = strpad('beta_i2 in component i_to_1_i2_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,46) = strpad('tau_i2 in component i_to_1_i2_gate (millisecond)'); LEGEND_ALGEBRAIC(:,56) = strpad('i2_infinity in component i_to_1_i2_gate (dimensionless)'); LEGEND_CONSTANTS(:,75) = strpad('g_Kr in component i_Kr (milliS_per_microF)'); LEGEND_ALGEBRAIC(:,69) = strpad('rr_infinity in component i_Kr (dimensionless)'); LEGEND_STATES(:,22) = strpad('xr in component i_Kr_xr_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,16) = strpad('tau_xr in component i_Kr_xr_gate (millisecond)'); LEGEND_ALGEBRAIC(:,34) = strpad('xr_infinity in component i_Kr_xr_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,71) = strpad('g_Ks in component i_Ks (milliS_per_microF)'); LEGEND_STATES(:,23) = strpad('xs1 in component i_Ks_xs1_gate (dimensionless)'); LEGEND_STATES(:,24) = strpad('xs2 in component i_Ks_xs2_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,17) = strpad('tau_xs1 in component i_Ks_xs1_gate (millisecond)'); LEGEND_ALGEBRAIC(:,35) = strpad('xs1_infinity in component i_Ks_xs1_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,18) = strpad('tau_xs2 in component i_Ks_xs2_gate (millisecond)'); LEGEND_ALGEBRAIC(:,36) = strpad('xs2_infinity in component i_Ks_xs2_gate (dimensionless)'); LEGEND_CONSTANTS(:,76) = strpad('g_K1 in component i_K1 (milliS_per_microF)'); LEGEND_ALGEBRAIC(:,75) = strpad('xK1 in component i_K1_xK1_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,74) = strpad('alpha_xK1 in component i_K1_xK1_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,73) = strpad('beta_xK1 in component i_K1_xK1_gate (dimensionless)'); LEGEND_CONSTANTS(:,23) = strpad('g_K_p in component i_K_p (milliS_per_microF)'); LEGEND_ALGEBRAIC(:,77) = strpad('kp in component i_K_p (dimensionless)'); LEGEND_CONSTANTS(:,24) = strpad('p_Cl in component i_to_2 (cm_per_second)'); LEGEND_CONSTANTS(:,25) = strpad('z_Cl in component i_to_2 (dimensionless)'); LEGEND_ALGEBRAIC(:,79) = strpad('i_to_2_max in component i_to_2 (microA_per_microF)'); LEGEND_STATES(:,25) = strpad('a in component i_to_2_a_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,19) = strpad('a_infinity in component i_to_2_a_gate (dimensionless)'); LEGEND_CONSTANTS(:,77) = strpad('tau_a in component i_to_2_a_gate (millisecond)'); LEGEND_CONSTANTS(:,26) = strpad('km_to_2 in component i_to_2_a_gate (millimolar)'); LEGEND_CONSTANTS(:,27) = strpad('X_NaCa in component i_NaCa (dimensionless)'); LEGEND_CONSTANTS(:,28) = strpad('i_NaCa_max in component i_NaCa (microA_per_microF)'); LEGEND_CONSTANTS(:,29) = strpad('km_Na_i_1 in component i_NaCa (millimolar)'); LEGEND_CONSTANTS(:,30) = strpad('km_Na_o in component i_NaCa (millimolar)'); LEGEND_CONSTANTS(:,31) = strpad('km_Ca_i in component i_NaCa (millimolar)'); LEGEND_CONSTANTS(:,32) = strpad('km_Ca_o in component i_NaCa (millimolar)'); LEGEND_CONSTANTS(:,33) = strpad('km_Ca_act in component i_NaCa (millimolar)'); LEGEND_CONSTANTS(:,34) = strpad('k_sat in component i_NaCa (dimensionless)'); LEGEND_ALGEBRAIC(:,81) = strpad('dNaCa_1 in component i_NaCa (millimolar4)'); LEGEND_ALGEBRAIC(:,82) = strpad('dNaCa_2 in component i_NaCa (millimolar4)'); LEGEND_CONSTANTS(:,35) = strpad('g_NaK in component i_NaK (microA_per_microF)'); LEGEND_CONSTANTS(:,36) = strpad('km_Na_i_2 in component i_NaK (millimolar)'); LEGEND_CONSTANTS(:,37) = strpad('km_K_o in component i_NaK (millimolar)'); LEGEND_ALGEBRAIC(:,84) = strpad('f_NaK in component i_NaK (dimensionless)'); LEGEND_CONSTANTS(:,78) = strpad('sigma in component i_NaK (dimensionless)'); LEGEND_CONSTANTS(:,38) = strpad('i_Ca_p_max in component i_Ca_p (microA_per_microF)'); LEGEND_CONSTANTS(:,39) = strpad('km_Ca_p in component i_Ca_p (millimolar)'); LEGEND_ALGEBRAIC(:,87) = strpad('CT_K_Cl in component CT_K_Cl (millimolar_per_millisecond)'); LEGEND_CONSTANTS(:,40) = strpad('CT_K_Cl_max in component CT_K_Cl (millimolar_per_millisecond)'); LEGEND_ALGEBRAIC(:,88) = strpad('CT_Na_Cl in component CT_Na_Cl (millimolar_per_millisecond)'); LEGEND_CONSTANTS(:,41) = strpad('CT_Na_Cl_max in component CT_Na_Cl (millimolar_per_millisecond)'); LEGEND_CONSTANTS(:,42) = strpad('g_Na_b in component background_currents (milliS_per_microF)'); LEGEND_CONSTANTS(:,43) = strpad('g_K_b in component background_currents (milliS_per_microF)'); LEGEND_CONSTANTS(:,44) = strpad('p_Ca_b in component background_currents (cm_per_second)'); LEGEND_CONSTANTS(:,45) = strpad('g_Cl_b in component background_currents (milliS_per_microF)'); LEGEND_CONSTANTS(:,80) = strpad('Vol_myo in component model_parameters (microlitre)'); LEGEND_CONSTANTS(:,79) = strpad('a_cap in component model_parameters (cm2)'); LEGEND_CONSTANTS(:,46) = strpad('km_TRPN in component Ca_i (millimolar)'); LEGEND_CONSTANTS(:,47) = strpad('km_CMDN in component Ca_i (millimolar)'); LEGEND_CONSTANTS(:,48) = strpad('TRPN_max in component Ca_i (millimolar)'); LEGEND_CONSTANTS(:,49) = strpad('CMDN_max in component Ca_i (millimolar)'); LEGEND_ALGEBRAIC(:,95) = strpad('TRPN in component Ca_i (dimensionless)'); LEGEND_ALGEBRAIC(:,94) = strpad('CMDN in component Ca_i (dimensionless)'); LEGEND_ALGEBRAIC(:,96) = strpad('b_myo in component Ca_i (dimensionless)'); LEGEND_CONSTANTS(:,81) = strpad('Vol_nsr in component model_parameters (microlitre)'); LEGEND_CONSTANTS(:,83) = strpad('Vol_ss in component model_parameters (microlitre)'); LEGEND_ALGEBRAIC(:,114) = strpad('q_up in component q_up (millimolar_per_millisecond)'); LEGEND_ALGEBRAIC(:,111) = strpad('q_leak in component q_leak (millimolar_per_millisecond)'); LEGEND_ALGEBRAIC(:,100) = strpad('q_diff in component Ca_r (millimolar_per_millisecond)'); LEGEND_STATES(:,26) = strpad('Ca_MK_trap in component Ca_MK_act (dimensionless)'); LEGEND_ALGEBRAIC(:,97) = strpad('Ca_MK_bound in component Ca_MK_act (dimensionless)'); LEGEND_CONSTANTS(:,50) = strpad('alpha_Ca_MK in component Ca_MK_act (per_millisecond)'); LEGEND_CONSTANTS(:,51) = strpad('beta_Ca_MK in component Ca_MK_act (per_millisecond)'); LEGEND_CONSTANTS(:,52) = strpad('Ca_MK_0 in component Ca_MK_act (dimensionless)'); LEGEND_STATES(:,27) = strpad('Ca_NSR in component Ca_NSR (millimolar)'); LEGEND_CONSTANTS(:,82) = strpad('Vol_jsr in component model_parameters (microlitre)'); LEGEND_ALGEBRAIC(:,115) = strpad('q_tr in component q_tr (millimolar_per_millisecond)'); LEGEND_STATES(:,28) = strpad('Ca_JSR in component Ca_JSR (millimolar)'); LEGEND_CONSTANTS(:,53) = strpad('CSQN_max in component Ca_JSR (millimolar)'); LEGEND_CONSTANTS(:,54) = strpad('km_CSQN in component Ca_JSR (millimolar)'); LEGEND_ALGEBRAIC(:,110) = strpad('q_rel in component q_rel (millimolar_per_millisecond)'); LEGEND_CONSTANTS(:,55) = strpad('km_b_SR in component Ca_r (millimolar)'); LEGEND_CONSTANTS(:,56) = strpad('km_b_SL in component Ca_r (millimolar)'); LEGEND_CONSTANTS(:,57) = strpad('b_SR_max in component Ca_r (millimolar)'); LEGEND_CONSTANTS(:,58) = strpad('b_SL_max in component Ca_r (millimolar)'); LEGEND_CONSTANTS(:,59) = strpad('tau_ss in component Ca_r (millisecond)'); LEGEND_ALGEBRAIC(:,104) = strpad('b_SR in component Ca_r (dimensionless)'); LEGEND_ALGEBRAIC(:,102) = strpad('b_SL in component Ca_r (dimensionless)'); LEGEND_ALGEBRAIC(:,106) = strpad('Ca_r_tot in component Ca_r (dimensionless)'); LEGEND_ALGEBRAIC(:,109) = strpad('g_rel in component q_rel (per_millisecond)'); LEGEND_ALGEBRAIC(:,108) = strpad('vg in component q_rel (dimensionless)'); LEGEND_STATES(:,29) = strpad('ri in component q_rel_ri_gate (dimensionless)'); LEGEND_STATES(:,30) = strpad('ro in component q_rel_ro_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,107) = strpad('tau_ri in component q_rel_ri_gate (millisecond)'); LEGEND_ALGEBRAIC(:,105) = strpad('tau_Ca_MK in component q_rel_ri_gate (millisecond)'); LEGEND_CONSTANTS(:,60) = strpad('tau_Ca_MK_max in component q_rel_ri_gate (millisecond)'); LEGEND_ALGEBRAIC(:,101) = strpad('Ca_fac in component q_rel_ri_gate (millimolar)'); LEGEND_ALGEBRAIC(:,103) = strpad('ri_infinity in component q_rel_ri_gate (dimensionless)'); LEGEND_CONSTANTS(:,61) = strpad('tau_ro in component q_rel_ro_gate (millisecond)'); LEGEND_ALGEBRAIC(:,67) = strpad('ro_infinity in component q_rel_ro_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,64) = strpad('ro_infinity_JSR in component q_rel_ro_gate (dimensionless)'); LEGEND_CONSTANTS(:,62) = strpad('q_leak_max in component q_leak (millimolar_per_millisecond)'); LEGEND_CONSTANTS(:,63) = strpad('NSR_max in component q_leak (millimolar)'); LEGEND_CONSTANTS(:,64) = strpad('X_q_up in component q_up (dimensionless)'); LEGEND_CONSTANTS(:,65) = strpad('q_up_max in component q_up (millimolar_per_millisecond)'); LEGEND_ALGEBRAIC(:,112) = strpad('dq_up_Ca_MK in component q_up (dimensionless)'); LEGEND_CONSTANTS(:,66) = strpad('dq_up_Ca_MK_max in component q_up (dimensionless)'); LEGEND_ALGEBRAIC(:,113) = strpad('dkm_plb in component q_up (millimolar)'); LEGEND_CONSTANTS(:,67) = strpad('dkm_plb_max in component q_up (millimolar)'); LEGEND_CONSTANTS(:,68) = strpad('km_up in component q_up (millimolar)'); LEGEND_CONSTANTS(:,69) = strpad('tau_tr in component q_tr (millisecond)'); LEGEND_CONSTANTS(:,70) = strpad('Vol_cell in component model_parameters (microlitre)'); LEGEND_CONSTANTS(:,74) = strpad('a_geo in component model_parameters (cm2)'); LEGEND_CONSTANTS(:,71) = strpad('radius in component model_parameters (cm)'); LEGEND_CONSTANTS(:,72) = strpad('length in component model_parameters (cm)'); LEGEND_CONSTANTS(:,73) = strpad('rcg in component model_parameters (dimensionless)'); LEGEND_RATES(:,1) = strpad('d/dt V in component membrane (millivolt)'); LEGEND_RATES(:,6) = strpad('d/dt m in component i_Na_m_gate (dimensionless)'); LEGEND_RATES(:,7) = strpad('d/dt h in component i_Na_h_gate (dimensionless)'); LEGEND_RATES(:,8) = strpad('d/dt j in component i_Na_j_gate (dimensionless)'); LEGEND_RATES(:,9) = strpad('d/dt m_L in component i_Na_L_m_L_gate (dimensionless)'); LEGEND_RATES(:,10) = strpad('d/dt h_L in component i_Na_L_h_L_gate (dimensionless)'); LEGEND_RATES(:,12) = strpad('d/dt d in component i_Ca_L_d_gate (dimensionless)'); LEGEND_RATES(:,13) = strpad('d/dt f in component i_Ca_L_f_gate (dimensionless)'); LEGEND_RATES(:,14) = strpad('d/dt f2 in component i_Ca_L_f2_gate (dimensionless)'); LEGEND_RATES(:,15) = strpad('d/dt f_Ca in component i_Ca_L_f_Ca_gate (dimensionless)'); LEGEND_RATES(:,16) = strpad('d/dt f_Ca2 in component i_Ca_L_f_Ca2_gate (dimensionless)'); LEGEND_RATES(:,17) = strpad('d/dt b in component i_Ca_T_b_gate (dimensionless)'); LEGEND_RATES(:,18) = strpad('d/dt g in component i_Ca_T_g_gate (dimensionless)'); LEGEND_RATES(:,19) = strpad('d/dt a in component i_to_1_a_gate (dimensionless)'); LEGEND_RATES(:,20) = strpad('d/dt i in component i_to_1_i_gate (dimensionless)'); LEGEND_RATES(:,21) = strpad('d/dt i2 in component i_to_1_i2_gate (dimensionless)'); LEGEND_RATES(:,22) = strpad('d/dt xr in component i_Kr_xr_gate (dimensionless)'); LEGEND_RATES(:,23) = strpad('d/dt xs1 in component i_Ks_xs1_gate (dimensionless)'); LEGEND_RATES(:,24) = strpad('d/dt xs2 in component i_Ks_xs2_gate (dimensionless)'); LEGEND_RATES(:,25) = strpad('d/dt a in component i_to_2_a_gate (dimensionless)'); LEGEND_RATES(:,2) = strpad('d/dt Na_i in component intracellular_ion_concentrations (millimolar)'); LEGEND_RATES(:,4) = strpad('d/dt K_i in component intracellular_ion_concentrations (millimolar)'); LEGEND_RATES(:,5) = strpad('d/dt Cl_i in component intracellular_ion_concentrations (millimolar)'); LEGEND_RATES(:,3) = strpad('d/dt Ca_i in component Ca_i (millimolar)'); LEGEND_RATES(:,26) = strpad('d/dt Ca_MK_trap in component Ca_MK_act (dimensionless)'); LEGEND_RATES(:,27) = strpad('d/dt Ca_NSR in component Ca_NSR (millimolar)'); LEGEND_RATES(:,28) = strpad('d/dt Ca_JSR in component Ca_JSR (millimolar)'); LEGEND_RATES(:,11) = strpad('d/dt Ca_r in component Ca_r (millimolar)'); LEGEND_RATES(:,29) = strpad('d/dt ri in component q_rel_ri_gate (dimensionless)'); LEGEND_RATES(:,30) = strpad('d/dt ro in component q_rel_ro_gate (dimensionless)'); LEGEND_STATES = LEGEND_STATES'; LEGEND_ALGEBRAIC = LEGEND_ALGEBRAIC'; LEGEND_RATES = LEGEND_RATES'; LEGEND_CONSTANTS = LEGEND_CONSTANTS'; end function [STATES, CONSTANTS] = initConsts() VOI = 0; CONSTANTS = []; STATES = []; ALGEBRAIC = []; STATES(:,1) = -83.43812846286808; CONSTANTS(:,1) = 0; CONSTANTS(:,2) = 1; CONSTANTS(:,3) = -80; CONSTANTS(:,4) = 0.01833; STATES(:,2) = 9.927155552932733; CONSTANTS(:,5) = 140; STATES(:,3) = 0.00022355433459434943; CONSTANTS(:,6) = 1.8; STATES(:,4) = 141.9670801746057; CONSTANTS(:,7) = 5.4; STATES(:,5) = 18.904682470140408; CONSTANTS(:,8) = 100; CONSTANTS(:,9) = 8314; CONSTANTS(:,10) = 96485; CONSTANTS(:,11) = 310; CONSTANTS(:,12) = 8; STATES(:,6) = 0.002003390432234504; STATES(:,7) = 0.9786390933308567; STATES(:,8) = 0.09866447258167589; CONSTANTS(:,13) = 0.037375; STATES(:,9) = 0.002003390432234504; STATES(:,10) = 0.8946968372659203; CONSTANTS(:,14) = 0.3392328; CONSTANTS(:,15) = 0.000243; CONSTANTS(:,16) = 2; CONSTANTS(:,17) = 1; CONSTANTS(:,18) = 0.341; STATES(:,11) = 0.00022418117117903934; CONSTANTS(:,19) = 0.15; STATES(:,12) = 0.000002322223865147363; STATES(:,13) = 0.9985607329462358; STATES(:,14) = 0.8173435436674658; STATES(:,15) = 0.9610551285529658; STATES(:,16) = 0.868690796671854; CONSTANTS(:,20) = 1; CONSTANTS(:,21) = 0.13; STATES(:,17) = 0.0002563937630984438; STATES(:,18) = 0.9720432601848331; CONSTANTS(:,22) = 0.14135944; STATES(:,19) = 0.0004238729429342389; STATES(:,20) = 0.9990935802459496; STATES(:,21) = 0.9777368439681764; STATES(:,22) = 0.07084939408222911; STATES(:,23) = 0.0011737654433043125; STATES(:,24) = 0.001179442867470093; CONSTANTS(:,23) = 0.00276; CONSTANTS(:,24) = 0.0000004; CONSTANTS(:,25) = -1; STATES(:,25) = 0.0014909437525000811; CONSTANTS(:,26) = 0.1502; CONSTANTS(:,27) = 0.4; CONSTANTS(:,28) = 4.5; CONSTANTS(:,29) = 12.3; CONSTANTS(:,30) = 87.5; CONSTANTS(:,31) = 0.0036; CONSTANTS(:,32) = 1.3; CONSTANTS(:,33) = 0.000125; CONSTANTS(:,34) = 0.27; CONSTANTS(:,35) = 0.61875; CONSTANTS(:,36) = 10; CONSTANTS(:,37) = 1.5; CONSTANTS(:,38) = 0.0575; CONSTANTS(:,39) = 0.0005; CONSTANTS(:,40) = 7.0756e-6; CONSTANTS(:,41) = 9.8443e-6; CONSTANTS(:,42) = 0.0025; CONSTANTS(:,43) = 0.005; CONSTANTS(:,44) = 1.995084e-7; CONSTANTS(:,45) = 0.000225; CONSTANTS(:,46) = 0.0005; CONSTANTS(:,47) = 0.00238; CONSTANTS(:,48) = 0.07; CONSTANTS(:,49) = 0.05; STATES(:,26) = 0.000008789168284782809; CONSTANTS(:,50) = 0.05; CONSTANTS(:,51) = 0.00068; CONSTANTS(:,52) = 0.05; STATES(:,27) = 1.2132524695849454; STATES(:,28) = 1.1433050636518596; CONSTANTS(:,53) = 10; CONSTANTS(:,54) = 0.8; CONSTANTS(:,55) = 0.00087; CONSTANTS(:,56) = 0.0087; CONSTANTS(:,57) = 0.047; CONSTANTS(:,58) = 1.124; CONSTANTS(:,59) = 0.2; STATES(:,29) = 0.7802870066567904; STATES(:,30) = 1.2785734760674763e-9; CONSTANTS(:,60) = 10; CONSTANTS(:,61) = 3; CONSTANTS(:,62) = 0.004375; CONSTANTS(:,63) = 15; CONSTANTS(:,64) = 0.5; CONSTANTS(:,65) = 0.004375; CONSTANTS(:,66) = 0.75; CONSTANTS(:,67) = 0.00017; CONSTANTS(:,68) = 0.00092; CONSTANTS(:,69) = 120; CONSTANTS(:,70) = 0.3454; CONSTANTS(:,71) = 0.0011; CONSTANTS(:,72) = 0.01; CONSTANTS(:,73) = 2; CONSTANTS(:,74) = 2.00000.*3.14000.*power(CONSTANTS(:,71), 2.00000)+ 2.00000.*3.14000.*CONSTANTS(:,71).*CONSTANTS(:,72); CONSTANTS(:,75) = 0.0400085.*power((CONSTANTS(:,7)./5.40000), 1.0 ./ 2); CONSTANTS(:,76) = 0.250000.*power((CONSTANTS(:,7)./5.40000), 1.0 ./ 2); CONSTANTS(:,77) = 1.00000; CONSTANTS(:,78) = (1.00000./7.00000).*(exp(CONSTANTS(:,5)./67.3000) - 1.00000); CONSTANTS(:,79) = CONSTANTS(:,73).*CONSTANTS(:,74); CONSTANTS(:,80) = CONSTANTS(:,70).*0.680000; CONSTANTS(:,81) = CONSTANTS(:,70).*0.0552000; CONSTANTS(:,82) = CONSTANTS(:,70).*0.00480000; CONSTANTS(:,83) = CONSTANTS(:,70).*0.0200000; 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(:,19) = 1.00000./(1.00000+CONSTANTS(:,26)./STATES(:,11)); RATES(:,25) = (ALGEBRAIC(:,19) - STATES(:,25))./CONSTANTS(:,77); ALGEBRAIC(:,25) = 175.000+125.000./(1.00000+exp( - (STATES(:,1)+25.0000)./6.00000)); ALGEBRAIC(:,7) = 1.00000./(1.00000+exp((STATES(:,1)+69.0000)./6.10000)); RATES(:,10) = (ALGEBRAIC(:,7) - STATES(:,10))./ALGEBRAIC(:,25); ALGEBRAIC(:,8) = 1.00000./(1.00000+exp( - (STATES(:,1) - 4.00000)./6.74000)); ALGEBRAIC(:,26) = 0.590000+( 0.800000.*exp( 0.0520000.*(STATES(:,1)+13.0000)))./(1.00000+exp( 0.132000.*(STATES(:,1)+13.0000))); RATES(:,12) = (ALGEBRAIC(:,8) - STATES(:,12))./ALGEBRAIC(:,26); ALGEBRAIC(:,9) = 1.00000./(1.00000+exp((STATES(:,1)+18.0000)./10.0000)); ALGEBRAIC(:,27) = 4.00000+ 0.00500000.*power(STATES(:,1) - 2.50000, 2.00000); RATES(:,13) = (ALGEBRAIC(:,9) - STATES(:,13))./ALGEBRAIC(:,27); ALGEBRAIC(:,10) = 1.00000./(1.00000+exp((STATES(:,1)+18.0000)./10.0000)); ALGEBRAIC(:,28) = 38.0000+ 0.0700000.*power(STATES(:,1) - 18.6000, 2.00000); RATES(:,14) = (ALGEBRAIC(:,10) - STATES(:,14))./ALGEBRAIC(:,28); ALGEBRAIC(:,16) = 900.000./(1.00000+exp(STATES(:,1)./5.00000))+100.000; ALGEBRAIC(:,34) = 1.00000./(1.00000+exp( - (STATES(:,1)+0.0850000)./12.2500)); RATES(:,22) = (ALGEBRAIC(:,34) - STATES(:,22))./ALGEBRAIC(:,16); ALGEBRAIC(:,17) = 1.00000./(( 7.61000e-05.*(STATES(:,1)+44.6000))./(1.00000 - exp( - 9.97000.*(STATES(:,1)+44.6000)))+( 0.000360000.*(STATES(:,1) - 0.550000))./(exp( 0.128000.*(STATES(:,1) - 0.550000)) - 1.00000)); ALGEBRAIC(:,35) = 1.00000./(1.00000+exp( - (STATES(:,1) - 9.00000)./13.7000)); RATES(:,23) = (ALGEBRAIC(:,35) - STATES(:,23))./ALGEBRAIC(:,17); ALGEBRAIC(:,18) = ( 2.00000.*1.00000)./(( 7.61000e-05.*(STATES(:,1)+44.6000))./(1.00000 - exp( - 9.97000.*(STATES(:,1)+44.6000)))+( 0.000360000.*(STATES(:,1) - 0.550000))./(exp( 0.128000.*(STATES(:,1) - 0.550000)) - 1.00000)); ALGEBRAIC(:,36) = 1.00000./(1.00000+exp( - (STATES(:,1) - 9.00000)./13.7000)); RATES(:,24) = (ALGEBRAIC(:,36) - STATES(:,24))./ALGEBRAIC(:,18); ALGEBRAIC(:,3) = ( 0.320000.*(STATES(:,1)+47.1300))./(1.00000 - exp( - 0.100000.*(STATES(:,1)+47.1300))); ALGEBRAIC(:,21) = 0.0800000.*exp( - STATES(:,1)./11.0000); ALGEBRAIC(:,48) = 1.00000./(ALGEBRAIC(:,3)+ALGEBRAIC(:,21)); ALGEBRAIC(:,38) = ALGEBRAIC(:,3)./(ALGEBRAIC(:,3)+ALGEBRAIC(:,21)); RATES(:,6) = (ALGEBRAIC(:,38) - STATES(:,6))./ALGEBRAIC(:,48); ALGEBRAIC(:,4) = piecewise({STATES(:,1)< - 40.0000, 0.135000.*exp((STATES(:,1)+80.0000)./ - 6.80000) }, 0.00000); ALGEBRAIC(:,22) = piecewise({STATES(:,1)< - 40.0000, 3.56000.*exp( 0.0790000.*STATES(:,1))+ 310000..*exp( 0.350000.*STATES(:,1)) }, 1.00000./( 0.130000.*(1.00000+exp((STATES(:,1)+10.6600)./ - 11.1000)))); ALGEBRAIC(:,49) = 1.00000./(ALGEBRAIC(:,4)+ALGEBRAIC(:,22)); ALGEBRAIC(:,39) = ALGEBRAIC(:,4)./(ALGEBRAIC(:,4)+ALGEBRAIC(:,22)); RATES(:,7) = (ALGEBRAIC(:,39) - STATES(:,7))./ALGEBRAIC(:,49); ALGEBRAIC(:,5) = piecewise({STATES(:,1)< - 40.0000, ( ( - 127140..*exp( 0.244400.*STATES(:,1)) - 3.47400e-05.*exp( - 0.0439100.*STATES(:,1))).*(STATES(:,1)+37.7800))./(1.00000+exp( 0.311000.*(STATES(:,1)+79.2300))) }, 0.00000); ALGEBRAIC(:,23) = piecewise({STATES(:,1)< - 40.0000, ( 0.121200.*exp( - 0.0105200.*STATES(:,1)))./(1.00000+exp( - 0.137800.*(STATES(:,1)+40.1400))) }, ( 0.300000.*exp( - 2.53500e-07.*STATES(:,1)))./(1.00000+exp( - 0.100000.*(STATES(:,1)+32.0000)))); ALGEBRAIC(:,50) = 0.100000./(ALGEBRAIC(:,5)+ALGEBRAIC(:,23)); ALGEBRAIC(:,40) = ( 0.100000.*ALGEBRAIC(:,5))./(ALGEBRAIC(:,5)+ALGEBRAIC(:,23)); RATES(:,8) = (ALGEBRAIC(:,40) - STATES(:,8))./ALGEBRAIC(:,50); ALGEBRAIC(:,6) = ( 0.320000.*(STATES(:,1)+47.1300))./(1.00000 - exp( - 0.100000.*(STATES(:,1)+47.1300))); ALGEBRAIC(:,24) = 0.0800000.*exp( - STATES(:,1)./11.0000); ALGEBRAIC(:,51) = 1.00000./(ALGEBRAIC(:,6)+ALGEBRAIC(:,24)); ALGEBRAIC(:,41) = ALGEBRAIC(:,6)./(ALGEBRAIC(:,6)+ALGEBRAIC(:,24)); RATES(:,9) = (ALGEBRAIC(:,41) - STATES(:,9))./ALGEBRAIC(:,51); ALGEBRAIC(:,11) = 1.06800.*exp((STATES(:,1)+16.3000)./30.0000); ALGEBRAIC(:,29) = 1.06800.*exp( - (STATES(:,1)+16.3000)./30.0000); ALGEBRAIC(:,52) = 1.00000./(ALGEBRAIC(:,11)+ALGEBRAIC(:,29)); ALGEBRAIC(:,42) = 1.00000./(1.00000+exp( - (STATES(:,1)+33.0000)./6.10000)); RATES(:,17) = (ALGEBRAIC(:,42) - STATES(:,17))./ALGEBRAIC(:,52); ALGEBRAIC(:,12) = 0.0150000.*exp( - (STATES(:,1)+71.7000)./83.3000); ALGEBRAIC(:,30) = 0.0150000.*exp((STATES(:,1)+71.7000)./15.4000); ALGEBRAIC(:,53) = 1.00000./(ALGEBRAIC(:,12)+ALGEBRAIC(:,30)); ALGEBRAIC(:,43) = 1.00000./(1.00000+exp((STATES(:,1)+60.0000)./6.60000)); RATES(:,18) = (ALGEBRAIC(:,43) - STATES(:,18))./ALGEBRAIC(:,53); ALGEBRAIC(:,13) = ( 25.0000.*exp((STATES(:,1) - 76.0000)./20.0000))./(1.00000+exp((STATES(:,1) - 76.0000)./20.0000)); ALGEBRAIC(:,31) = ( 25.0000.*exp( - (STATES(:,1)+54.0000)./20.0000))./(1.00000+exp( - (STATES(:,1)+54.0000)./20.0000)); ALGEBRAIC(:,44) = 1.00000./(ALGEBRAIC(:,13)+ALGEBRAIC(:,31)); ALGEBRAIC(:,54) = ALGEBRAIC(:,13)./(ALGEBRAIC(:,13)+ALGEBRAIC(:,31)); RATES(:,19) = (ALGEBRAIC(:,54) - STATES(:,19))./ALGEBRAIC(:,44); ALGEBRAIC(:,45) = 6.00000+5.00000./(1.00000+exp((STATES(:,1) - 16.5000)./10.0000)); ALGEBRAIC(:,14) = 0.0300000./(1.00000+exp((STATES(:,1)+25.0000)./15.0000)); ALGEBRAIC(:,32) = ( 0.100000.*exp((STATES(:,1) - 40.0000)./15.0000))./(1.00000+exp((STATES(:,1) - 40.0000)./15.0000)); ALGEBRAIC(:,55) = ALGEBRAIC(:,14)./(ALGEBRAIC(:,14)+ALGEBRAIC(:,32)); RATES(:,20) = (ALGEBRAIC(:,55) - STATES(:,20))./ALGEBRAIC(:,45); ALGEBRAIC(:,46) = 21.5000+30.0000./(1.00000+exp((STATES(:,1) - 25.0000)./10.0000)); ALGEBRAIC(:,15) = 0.00442000./(1.00000+exp((STATES(:,1)+26.0000)./15.0000)); ALGEBRAIC(:,33) = ( 0.0500000.*exp((STATES(:,1) - 10.0000)./15.0000))./(1.00000+exp((STATES(:,1) - 10.0000)./15.0000)); ALGEBRAIC(:,56) = ALGEBRAIC(:,15)./(ALGEBRAIC(:,15)+ALGEBRAIC(:,33)); RATES(:,21) = (ALGEBRAIC(:,56) - STATES(:,21))./ALGEBRAIC(:,46); ALGEBRAIC(:,60) = ( (( (( 1.00000.*CONSTANTS(:,15))./CONSTANTS(:,20)).*power(CONSTANTS(:,16), 2.00000).*(STATES(:,1) - 15.0000).*power(CONSTANTS(:,10), 2.00000))./( CONSTANTS(:,9).*CONSTANTS(:,11))).*( CONSTANTS(:,17).*STATES(:,11).*exp(( CONSTANTS(:,16).*CONSTANTS(:,10).*(STATES(:,1) - 15.0000))./( CONSTANTS(:,9).*CONSTANTS(:,11))) - CONSTANTS(:,18).*CONSTANTS(:,6)))./(exp(( CONSTANTS(:,16).*CONSTANTS(:,10).*(STATES(:,1) - 15.0000))./( CONSTANTS(:,9).*CONSTANTS(:,11))) - 1.00000); ALGEBRAIC(:,61) = CONSTANTS(:,14).*STATES(:,12).*STATES(:,13).*STATES(:,14).*STATES(:,15).*STATES(:,16).*ALGEBRAIC(:,60); ALGEBRAIC(:,63) = 1.00000./(1.00000 - ALGEBRAIC(:,61)./0.0100000); ALGEBRAIC(:,66) = 125.000+300.000./(1.00000+exp(( - ALGEBRAIC(:,61) - 0.175000)./0.0400000)); RATES(:,16) = (ALGEBRAIC(:,63) - STATES(:,16))./ALGEBRAIC(:,66); ALGEBRAIC(:,64) = power(STATES(:,28), 1.90000)./(power(STATES(:,28), 1.90000)+power(( 49.2800.*STATES(:,11))./(STATES(:,11)+0.00280000), 1.90000)); ALGEBRAIC(:,67) = ( ALGEBRAIC(:,64).*power(ALGEBRAIC(:,61), 2.00000))./(power(ALGEBRAIC(:,61), 2.00000)+1.00000); RATES(:,30) = (ALGEBRAIC(:,67) - STATES(:,30))./CONSTANTS(:,61); ALGEBRAIC(:,20) = (( CONSTANTS(:,9).*CONSTANTS(:,11))./CONSTANTS(:,10)).*log(CONSTANTS(:,5)./STATES(:,2)); ALGEBRAIC(:,58) = CONSTANTS(:,12).*power(STATES(:,6), 3.00000).*( 0.800000.*STATES(:,7)+ 0.200000.*STATES(:,8)).*(STATES(:,1) - ALGEBRAIC(:,20)); ALGEBRAIC(:,59) = CONSTANTS(:,13).*power(STATES(:,9), 3.00000).*STATES(:,10).*(STATES(:,1) - ALGEBRAIC(:,20)); ALGEBRAIC(:,81) = CONSTANTS(:,32).*power(STATES(:,2), 3.00000)+ 1.50000.*power(CONSTANTS(:,30), 3.00000).*STATES(:,3)+ power(CONSTANTS(:,29), 3.00000).*CONSTANTS(:,6).*(1.00000+( 1.50000.*STATES(:,3))./CONSTANTS(:,31)); ALGEBRAIC(:,82) = CONSTANTS(:,31).*power(CONSTANTS(:,5), 3.00000).*(1.00000+STATES(:,2)./CONSTANTS(:,29))+ power(STATES(:,2), 3.00000).*CONSTANTS(:,6)+ 1.50000.*power(CONSTANTS(:,5), 3.00000).*STATES(:,3); ALGEBRAIC(:,83) = ( CONSTANTS(:,27).*CONSTANTS(:,28).*power(STATES(:,2), 3.00000).*CONSTANTS(:,6).*exp(( 0.350000.*CONSTANTS(:,10).*STATES(:,1))./( CONSTANTS(:,9).*CONSTANTS(:,11))) - 1.50000.*power(CONSTANTS(:,5), 3.00000).*STATES(:,3).*exp(( - 0.650000.*CONSTANTS(:,10).*STATES(:,1))./( CONSTANTS(:,9).*CONSTANTS(:,11))))./( (1.00000+power(CONSTANTS(:,33)./( 1.50000.*STATES(:,3)), 2.00000)).*(1.00000+ CONSTANTS(:,34).*exp(( - 0.650000.*STATES(:,1).*CONSTANTS(:,10))./( CONSTANTS(:,9).*CONSTANTS(:,11)))).*(ALGEBRAIC(:,81)+ALGEBRAIC(:,82))); ALGEBRAIC(:,84) = 1.00000./(1.00000+ 0.124500.*exp(( - 0.100000.*CONSTANTS(:,10).*STATES(:,1))./( CONSTANTS(:,9).*CONSTANTS(:,11)))+ 0.0365000.*CONSTANTS(:,78).*exp(( - CONSTANTS(:,10).*STATES(:,1))./( CONSTANTS(:,9).*CONSTANTS(:,11)))); ALGEBRAIC(:,85) = ( (( CONSTANTS(:,35).*ALGEBRAIC(:,84).*1.00000)./(1.00000+power(CONSTANTS(:,36)./STATES(:,2), 2.00000))).*CONSTANTS(:,7))./(CONSTANTS(:,7)+CONSTANTS(:,37)); ALGEBRAIC(:,89) = CONSTANTS(:,42).*(STATES(:,1) - ALGEBRAIC(:,20)); ALGEBRAIC(:,47) = (( - CONSTANTS(:,9).*CONSTANTS(:,11))./CONSTANTS(:,10)).*log(CONSTANTS(:,8)./STATES(:,5)); ALGEBRAIC(:,88) = ( CONSTANTS(:,41).*power(ALGEBRAIC(:,20) - ALGEBRAIC(:,47), 4.00000))./(power(ALGEBRAIC(:,20) - ALGEBRAIC(:,47), 4.00000)+power(87.8251, 4.00000)); RATES(:,2) = ( - CONSTANTS(:,20).*(ALGEBRAIC(:,58)+ALGEBRAIC(:,59)+ALGEBRAIC(:,89)+ 3.00000.*ALGEBRAIC(:,85)+ 3.00000.*ALGEBRAIC(:,83)).*CONSTANTS(:,79))./( CONSTANTS(:,80).*CONSTANTS(:,10))+ALGEBRAIC(:,88); ALGEBRAIC(:,37) = (( CONSTANTS(:,9).*CONSTANTS(:,11))./CONSTANTS(:,10)).*log(CONSTANTS(:,7)./STATES(:,4)); ALGEBRAIC(:,68) = CONSTANTS(:,22).*STATES(:,19).*( 0.800000.*STATES(:,20)+ 0.200000.*STATES(:,21)).*(STATES(:,1) - ALGEBRAIC(:,37)); ALGEBRAIC(:,69) = 1.00000./(1.00000+exp((STATES(:,1) - 5.40000)./20.4000)); ALGEBRAIC(:,70) = CONSTANTS(:,75).*STATES(:,22).*ALGEBRAIC(:,69).*(STATES(:,1) - ALGEBRAIC(:,37)); ALGEBRAIC(:,57) = (( CONSTANTS(:,9).*CONSTANTS(:,11))./CONSTANTS(:,10)).*log((CONSTANTS(:,7)+ CONSTANTS(:,4).*CONSTANTS(:,5))./(STATES(:,4)+ CONSTANTS(:,4).*STATES(:,2))); ALGEBRAIC(:,71) = 0.0525813.*(1.00000+0.600000./(1.00000+power(3.80000e-05./STATES(:,3), 1.40000))); ALGEBRAIC(:,72) = ALGEBRAIC(:,71).*STATES(:,23).*STATES(:,24).*(STATES(:,1) - ALGEBRAIC(:,57)); ALGEBRAIC(:,74) = 1.02000./(1.00000+exp( 0.238500.*(STATES(:,1) - (ALGEBRAIC(:,37)+59.2150)))); ALGEBRAIC(:,73) = ( 0.491240.*exp( 0.0803200.*((STATES(:,1)+5.47600) - ALGEBRAIC(:,37)))+exp( 0.0617500.*(STATES(:,1) - (594.310+ALGEBRAIC(:,37)))))./(1.00000+exp( - 0.514300.*((STATES(:,1)+4.75300) - ALGEBRAIC(:,37)))); ALGEBRAIC(:,75) = ALGEBRAIC(:,74)./(ALGEBRAIC(:,74)+ALGEBRAIC(:,73)); ALGEBRAIC(:,76) = ( CONSTANTS(:,76).*ALGEBRAIC(:,75)+0.00400000).*(STATES(:,1) - ALGEBRAIC(:,37)); ALGEBRAIC(:,90) = CONSTANTS(:,43).*(STATES(:,1) - ALGEBRAIC(:,37)); ALGEBRAIC(:,77) = 1.00000./(1.00000+exp((7.48800 - STATES(:,1))./5.98000)); ALGEBRAIC(:,78) = CONSTANTS(:,23).*ALGEBRAIC(:,77).*(STATES(:,1) - ALGEBRAIC(:,37)); ALGEBRAIC(:,87) = ( CONSTANTS(:,40).*(ALGEBRAIC(:,37) - ALGEBRAIC(:,47)))./((ALGEBRAIC(:,37)+87.8251) - ALGEBRAIC(:,47)); RATES(:,4) = ( - CONSTANTS(:,20).*((ALGEBRAIC(:,68)+ALGEBRAIC(:,76)+ALGEBRAIC(:,70)+ALGEBRAIC(:,72)+ALGEBRAIC(:,78)+ALGEBRAIC(:,90)) - 2.00000.*ALGEBRAIC(:,85)).*CONSTANTS(:,79))./( CONSTANTS(:,80).*CONSTANTS(:,10))+ALGEBRAIC(:,87); ALGEBRAIC(:,79) = ( (( (( 1.00000.*CONSTANTS(:,24))./CONSTANTS(:,20)).*power(CONSTANTS(:,25), 2.00000).*STATES(:,1).*power(CONSTANTS(:,10), 2.00000))./( CONSTANTS(:,9).*CONSTANTS(:,11))).*(STATES(:,5) - CONSTANTS(:,8).*exp(( - CONSTANTS(:,25).*STATES(:,1).*CONSTANTS(:,10))./( CONSTANTS(:,9).*CONSTANTS(:,11)))))./(1.00000 - exp(( - CONSTANTS(:,25).*STATES(:,1).*CONSTANTS(:,10))./( CONSTANTS(:,9).*CONSTANTS(:,11)))); ALGEBRAIC(:,80) = 20.0000.*ALGEBRAIC(:,79).*STATES(:,25); ALGEBRAIC(:,91) = CONSTANTS(:,45).*(STATES(:,1) - ALGEBRAIC(:,47)); RATES(:,5) = ( - CONSTANTS(:,20).*(ALGEBRAIC(:,80)+ALGEBRAIC(:,91)).*CONSTANTS(:,79))./( CONSTANTS(:,80).*CONSTANTS(:,10))+ALGEBRAIC(:,88)+ALGEBRAIC(:,87); ALGEBRAIC(:,1) = piecewise({VOI>=CONSTANTS(:,1)&VOI<=CONSTANTS(:,2), CONSTANTS(:,3) }, 0.00000); ALGEBRAIC(:,65) = CONSTANTS(:,21).*STATES(:,17).*STATES(:,18).*(STATES(:,1) - 50.0000); ALGEBRAIC(:,92) = ( (( (( 1.00000.*CONSTANTS(:,44))./CONSTANTS(:,20)).*power(CONSTANTS(:,16), 2.00000).*STATES(:,1).*power(CONSTANTS(:,10), 2.00000))./( CONSTANTS(:,9).*CONSTANTS(:,11))).*( CONSTANTS(:,17).*STATES(:,3).*exp(( CONSTANTS(:,16).*STATES(:,1).*CONSTANTS(:,10))./( CONSTANTS(:,9).*CONSTANTS(:,11))) - CONSTANTS(:,18).*CONSTANTS(:,6)))./(exp(( CONSTANTS(:,16).*STATES(:,1).*CONSTANTS(:,10))./( CONSTANTS(:,9).*CONSTANTS(:,11))) - 1.00000); ALGEBRAIC(:,86) = ( CONSTANTS(:,38).*STATES(:,3))./(CONSTANTS(:,39)+STATES(:,3)); ALGEBRAIC(:,93) = ALGEBRAIC(:,58)+ALGEBRAIC(:,59)+ALGEBRAIC(:,61)+ALGEBRAIC(:,65)+ALGEBRAIC(:,68)+ALGEBRAIC(:,80)+ALGEBRAIC(:,70)+ALGEBRAIC(:,72)+ALGEBRAIC(:,76)+ALGEBRAIC(:,83)+ALGEBRAIC(:,85)+ALGEBRAIC(:,89)+ALGEBRAIC(:,90)+ALGEBRAIC(:,92)+ALGEBRAIC(:,91)+ALGEBRAIC(:,86)+ALGEBRAIC(:,78); RATES(:,1) = - (ALGEBRAIC(:,93)+ALGEBRAIC(:,1)); ALGEBRAIC(:,97) = ( CONSTANTS(:,52).*(1.00000 - STATES(:,26)))./(1.00000+CONSTANTS(:,19)./STATES(:,11)); RATES(:,26) = CONSTANTS(:,50).*ALGEBRAIC(:,97).*(ALGEBRAIC(:,97)+STATES(:,26)) - CONSTANTS(:,51).*STATES(:,26); ALGEBRAIC(:,62) = 0.300000./(1.00000 - ALGEBRAIC(:,61)./0.0500000)+0.550000./(1.00000+STATES(:,11)./0.00300000)+0.150000; ALGEBRAIC(:,98) = ALGEBRAIC(:,97)+STATES(:,26); ALGEBRAIC(:,99) = 0.500000+( 10.0000.*1.00000.*ALGEBRAIC(:,98))./( 1.00000.*ALGEBRAIC(:,98)+CONSTANTS(:,19))+1.00000./(1.00000+STATES(:,11)./0.00300000); RATES(:,15) = (ALGEBRAIC(:,62) - STATES(:,15))./ALGEBRAIC(:,99); ALGEBRAIC(:,105) = ( CONSTANTS(:,60).*1.00000.*ALGEBRAIC(:,98))./(CONSTANTS(:,19)+ 1.00000.*ALGEBRAIC(:,98)); ALGEBRAIC(:,101) = 1.00000./(1.00000+exp((ALGEBRAIC(:,61)+0.0500000)./0.0150000)); ALGEBRAIC(:,107) = (350.000 - ALGEBRAIC(:,105))./(1.00000+exp(((STATES(:,11) - 0.00300000)+ 0.00300000.*ALGEBRAIC(:,101))./0.000200000))+3.00000+ALGEBRAIC(:,105); ALGEBRAIC(:,103) = 1.00000./(1.00000+exp(((STATES(:,11) - 0.000400000)+ 0.00200000.*ALGEBRAIC(:,101))./2.50000e-05)); RATES(:,29) = (ALGEBRAIC(:,103) - STATES(:,29))./ALGEBRAIC(:,107); ALGEBRAIC(:,100) = (STATES(:,11) - STATES(:,3))./CONSTANTS(:,59); ALGEBRAIC(:,108) = 1.00000./(1.00000+exp(( CONSTANTS(:,14).*ALGEBRAIC(:,60)+13.0000)./5.00000)); ALGEBRAIC(:,109) = 3000.00.*ALGEBRAIC(:,108); ALGEBRAIC(:,110) = ALGEBRAIC(:,109).*STATES(:,30).*STATES(:,29).*(STATES(:,28) - STATES(:,11)); ALGEBRAIC(:,104) = ( 2.00000.*CONSTANTS(:,57).*STATES(:,11))./power(STATES(:,11)+CONSTANTS(:,55), 2.00000); ALGEBRAIC(:,102) = ( 2.00000.*CONSTANTS(:,58).*STATES(:,11))./power(STATES(:,11)+CONSTANTS(:,56), 2.00000); ALGEBRAIC(:,106) = 1.00000./(1.00000+ALGEBRAIC(:,104)+ALGEBRAIC(:,102)); RATES(:,11) = ALGEBRAIC(:,106).*((( - CONSTANTS(:,20).*ALGEBRAIC(:,61).*CONSTANTS(:,79))./( CONSTANTS(:,83).*CONSTANTS(:,16).*CONSTANTS(:,10))+( ALGEBRAIC(:,110).*CONSTANTS(:,82))./CONSTANTS(:,83)) - ALGEBRAIC(:,100)); ALGEBRAIC(:,95) = ( 2.00000.*CONSTANTS(:,48).*STATES(:,3))./power(STATES(:,3)+CONSTANTS(:,46), 2.00000); ALGEBRAIC(:,94) = ( 2.00000.*CONSTANTS(:,49).*STATES(:,3))./power(STATES(:,3)+CONSTANTS(:,47), 2.00000); ALGEBRAIC(:,96) = 1.00000./(1.00000+ALGEBRAIC(:,95)+ALGEBRAIC(:,94)); ALGEBRAIC(:,112) = ( CONSTANTS(:,66).*ALGEBRAIC(:,98).*1.00000)./(CONSTANTS(:,19)+ ALGEBRAIC(:,98).*1.00000); ALGEBRAIC(:,113) = ( CONSTANTS(:,67).*ALGEBRAIC(:,98).*1.00000)./(CONSTANTS(:,19)+ ALGEBRAIC(:,98).*1.00000); ALGEBRAIC(:,114) = ( CONSTANTS(:,64).*(ALGEBRAIC(:,112)+1.00000).*CONSTANTS(:,65).*STATES(:,3))./((STATES(:,3)+CONSTANTS(:,68)) - ALGEBRAIC(:,113)); ALGEBRAIC(:,111) = ( CONSTANTS(:,62).*STATES(:,27))./CONSTANTS(:,63); RATES(:,3) = - ALGEBRAIC(:,96).*((( CONSTANTS(:,20).*((ALGEBRAIC(:,92)+ALGEBRAIC(:,86)) - 2.00000.*ALGEBRAIC(:,83)).*CONSTANTS(:,79))./( 2.00000.*CONSTANTS(:,80).*CONSTANTS(:,10))+( (ALGEBRAIC(:,114) - ALGEBRAIC(:,111)).*CONSTANTS(:,81))./CONSTANTS(:,80)) - ( ALGEBRAIC(:,100).*CONSTANTS(:,83))./CONSTANTS(:,80)); ALGEBRAIC(:,115) = (STATES(:,27) - STATES(:,28))./CONSTANTS(:,69); RATES(:,27) = ALGEBRAIC(:,114) - (ALGEBRAIC(:,111)+( ALGEBRAIC(:,115).*CONSTANTS(:,82))./CONSTANTS(:,81)); RATES(:,28) = (ALGEBRAIC(:,115) - ALGEBRAIC(:,110))./(1.00000+( CONSTANTS(:,53).*CONSTANTS(:,54))./power(CONSTANTS(:,54)+STATES(:,28), 2.00000)); 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(:,19) = 1.00000./(1.00000+CONSTANTS(:,26)./STATES(:,11)); ALGEBRAIC(:,25) = 175.000+125.000./(1.00000+exp( - (STATES(:,1)+25.0000)./6.00000)); ALGEBRAIC(:,7) = 1.00000./(1.00000+exp((STATES(:,1)+69.0000)./6.10000)); ALGEBRAIC(:,8) = 1.00000./(1.00000+exp( - (STATES(:,1) - 4.00000)./6.74000)); ALGEBRAIC(:,26) = 0.590000+( 0.800000.*exp( 0.0520000.*(STATES(:,1)+13.0000)))./(1.00000+exp( 0.132000.*(STATES(:,1)+13.0000))); ALGEBRAIC(:,9) = 1.00000./(1.00000+exp((STATES(:,1)+18.0000)./10.0000)); ALGEBRAIC(:,27) = 4.00000+ 0.00500000.*power(STATES(:,1) - 2.50000, 2.00000); ALGEBRAIC(:,10) = 1.00000./(1.00000+exp((STATES(:,1)+18.0000)./10.0000)); ALGEBRAIC(:,28) = 38.0000+ 0.0700000.*power(STATES(:,1) - 18.6000, 2.00000); ALGEBRAIC(:,16) = 900.000./(1.00000+exp(STATES(:,1)./5.00000))+100.000; ALGEBRAIC(:,34) = 1.00000./(1.00000+exp( - (STATES(:,1)+0.0850000)./12.2500)); ALGEBRAIC(:,17) = 1.00000./(( 7.61000e-05.*(STATES(:,1)+44.6000))./(1.00000 - exp( - 9.97000.*(STATES(:,1)+44.6000)))+( 0.000360000.*(STATES(:,1) - 0.550000))./(exp( 0.128000.*(STATES(:,1) - 0.550000)) - 1.00000)); ALGEBRAIC(:,35) = 1.00000./(1.00000+exp( - (STATES(:,1) - 9.00000)./13.7000)); ALGEBRAIC(:,18) = ( 2.00000.*1.00000)./(( 7.61000e-05.*(STATES(:,1)+44.6000))./(1.00000 - exp( - 9.97000.*(STATES(:,1)+44.6000)))+( 0.000360000.*(STATES(:,1) - 0.550000))./(exp( 0.128000.*(STATES(:,1) - 0.550000)) - 1.00000)); ALGEBRAIC(:,36) = 1.00000./(1.00000+exp( - (STATES(:,1) - 9.00000)./13.7000)); ALGEBRAIC(:,3) = ( 0.320000.*(STATES(:,1)+47.1300))./(1.00000 - exp( - 0.100000.*(STATES(:,1)+47.1300))); ALGEBRAIC(:,21) = 0.0800000.*exp( - STATES(:,1)./11.0000); ALGEBRAIC(:,48) = 1.00000./(ALGEBRAIC(:,3)+ALGEBRAIC(:,21)); ALGEBRAIC(:,38) = ALGEBRAIC(:,3)./(ALGEBRAIC(:,3)+ALGEBRAIC(:,21)); ALGEBRAIC(:,4) = piecewise({STATES(:,1)< - 40.0000, 0.135000.*exp((STATES(:,1)+80.0000)./ - 6.80000) }, 0.00000); ALGEBRAIC(:,22) = piecewise({STATES(:,1)< - 40.0000, 3.56000.*exp( 0.0790000.*STATES(:,1))+ 310000..*exp( 0.350000.*STATES(:,1)) }, 1.00000./( 0.130000.*(1.00000+exp((STATES(:,1)+10.6600)./ - 11.1000)))); ALGEBRAIC(:,49) = 1.00000./(ALGEBRAIC(:,4)+ALGEBRAIC(:,22)); ALGEBRAIC(:,39) = ALGEBRAIC(:,4)./(ALGEBRAIC(:,4)+ALGEBRAIC(:,22)); ALGEBRAIC(:,5) = piecewise({STATES(:,1)< - 40.0000, ( ( - 127140..*exp( 0.244400.*STATES(:,1)) - 3.47400e-05.*exp( - 0.0439100.*STATES(:,1))).*(STATES(:,1)+37.7800))./(1.00000+exp( 0.311000.*(STATES(:,1)+79.2300))) }, 0.00000); ALGEBRAIC(:,23) = piecewise({STATES(:,1)< - 40.0000, ( 0.121200.*exp( - 0.0105200.*STATES(:,1)))./(1.00000+exp( - 0.137800.*(STATES(:,1)+40.1400))) }, ( 0.300000.*exp( - 2.53500e-07.*STATES(:,1)))./(1.00000+exp( - 0.100000.*(STATES(:,1)+32.0000)))); ALGEBRAIC(:,50) = 0.100000./(ALGEBRAIC(:,5)+ALGEBRAIC(:,23)); ALGEBRAIC(:,40) = ( 0.100000.*ALGEBRAIC(:,5))./(ALGEBRAIC(:,5)+ALGEBRAIC(:,23)); ALGEBRAIC(:,6) = ( 0.320000.*(STATES(:,1)+47.1300))./(1.00000 - exp( - 0.100000.*(STATES(:,1)+47.1300))); ALGEBRAIC(:,24) = 0.0800000.*exp( - STATES(:,1)./11.0000); ALGEBRAIC(:,51) = 1.00000./(ALGEBRAIC(:,6)+ALGEBRAIC(:,24)); ALGEBRAIC(:,41) = ALGEBRAIC(:,6)./(ALGEBRAIC(:,6)+ALGEBRAIC(:,24)); ALGEBRAIC(:,11) = 1.06800.*exp((STATES(:,1)+16.3000)./30.0000); ALGEBRAIC(:,29) = 1.06800.*exp( - (STATES(:,1)+16.3000)./30.0000); ALGEBRAIC(:,52) = 1.00000./(ALGEBRAIC(:,11)+ALGEBRAIC(:,29)); ALGEBRAIC(:,42) = 1.00000./(1.00000+exp( - (STATES(:,1)+33.0000)./6.10000)); ALGEBRAIC(:,12) = 0.0150000.*exp( - (STATES(:,1)+71.7000)./83.3000); ALGEBRAIC(:,30) = 0.0150000.*exp((STATES(:,1)+71.7000)./15.4000); ALGEBRAIC(:,53) = 1.00000./(ALGEBRAIC(:,12)+ALGEBRAIC(:,30)); ALGEBRAIC(:,43) = 1.00000./(1.00000+exp((STATES(:,1)+60.0000)./6.60000)); ALGEBRAIC(:,13) = ( 25.0000.*exp((STATES(:,1) - 76.0000)./20.0000))./(1.00000+exp((STATES(:,1) - 76.0000)./20.0000)); ALGEBRAIC(:,31) = ( 25.0000.*exp( - (STATES(:,1)+54.0000)./20.0000))./(1.00000+exp( - (STATES(:,1)+54.0000)./20.0000)); ALGEBRAIC(:,44) = 1.00000./(ALGEBRAIC(:,13)+ALGEBRAIC(:,31)); ALGEBRAIC(:,54) = ALGEBRAIC(:,13)./(ALGEBRAIC(:,13)+ALGEBRAIC(:,31)); ALGEBRAIC(:,45) = 6.00000+5.00000./(1.00000+exp((STATES(:,1) - 16.5000)./10.0000)); ALGEBRAIC(:,14) = 0.0300000./(1.00000+exp((STATES(:,1)+25.0000)./15.0000)); ALGEBRAIC(:,32) = ( 0.100000.*exp((STATES(:,1) - 40.0000)./15.0000))./(1.00000+exp((STATES(:,1) - 40.0000)./15.0000)); ALGEBRAIC(:,55) = ALGEBRAIC(:,14)./(ALGEBRAIC(:,14)+ALGEBRAIC(:,32)); ALGEBRAIC(:,46) = 21.5000+30.0000./(1.00000+exp((STATES(:,1) - 25.0000)./10.0000)); ALGEBRAIC(:,15) = 0.00442000./(1.00000+exp((STATES(:,1)+26.0000)./15.0000)); ALGEBRAIC(:,33) = ( 0.0500000.*exp((STATES(:,1) - 10.0000)./15.0000))./(1.00000+exp((STATES(:,1) - 10.0000)./15.0000)); ALGEBRAIC(:,56) = ALGEBRAIC(:,15)./(ALGEBRAIC(:,15)+ALGEBRAIC(:,33)); ALGEBRAIC(:,60) = ( (( (( 1.00000.*CONSTANTS(:,15))./CONSTANTS(:,20)).*power(CONSTANTS(:,16), 2.00000).*(STATES(:,1) - 15.0000).*power(CONSTANTS(:,10), 2.00000))./( CONSTANTS(:,9).*CONSTANTS(:,11))).*( CONSTANTS(:,17).*STATES(:,11).*exp(( CONSTANTS(:,16).*CONSTANTS(:,10).*(STATES(:,1) - 15.0000))./( CONSTANTS(:,9).*CONSTANTS(:,11))) - CONSTANTS(:,18).*CONSTANTS(:,6)))./(exp(( CONSTANTS(:,16).*CONSTANTS(:,10).*(STATES(:,1) - 15.0000))./( CONSTANTS(:,9).*CONSTANTS(:,11))) - 1.00000); ALGEBRAIC(:,61) = CONSTANTS(:,14).*STATES(:,12).*STATES(:,13).*STATES(:,14).*STATES(:,15).*STATES(:,16).*ALGEBRAIC(:,60); ALGEBRAIC(:,63) = 1.00000./(1.00000 - ALGEBRAIC(:,61)./0.0100000); ALGEBRAIC(:,66) = 125.000+300.000./(1.00000+exp(( - ALGEBRAIC(:,61) - 0.175000)./0.0400000)); ALGEBRAIC(:,64) = power(STATES(:,28), 1.90000)./(power(STATES(:,28), 1.90000)+power(( 49.2800.*STATES(:,11))./(STATES(:,11)+0.00280000), 1.90000)); ALGEBRAIC(:,67) = ( ALGEBRAIC(:,64).*power(ALGEBRAIC(:,61), 2.00000))./(power(ALGEBRAIC(:,61), 2.00000)+1.00000); ALGEBRAIC(:,20) = (( CONSTANTS(:,9).*CONSTANTS(:,11))./CONSTANTS(:,10)).*log(CONSTANTS(:,5)./STATES(:,2)); ALGEBRAIC(:,58) = CONSTANTS(:,12).*power(STATES(:,6), 3.00000).*( 0.800000.*STATES(:,7)+ 0.200000.*STATES(:,8)).*(STATES(:,1) - ALGEBRAIC(:,20)); ALGEBRAIC(:,59) = CONSTANTS(:,13).*power(STATES(:,9), 3.00000).*STATES(:,10).*(STATES(:,1) - ALGEBRAIC(:,20)); ALGEBRAIC(:,81) = CONSTANTS(:,32).*power(STATES(:,2), 3.00000)+ 1.50000.*power(CONSTANTS(:,30), 3.00000).*STATES(:,3)+ power(CONSTANTS(:,29), 3.00000).*CONSTANTS(:,6).*(1.00000+( 1.50000.*STATES(:,3))./CONSTANTS(:,31)); ALGEBRAIC(:,82) = CONSTANTS(:,31).*power(CONSTANTS(:,5), 3.00000).*(1.00000+STATES(:,2)./CONSTANTS(:,29))+ power(STATES(:,2), 3.00000).*CONSTANTS(:,6)+ 1.50000.*power(CONSTANTS(:,5), 3.00000).*STATES(:,3); ALGEBRAIC(:,83) = ( CONSTANTS(:,27).*CONSTANTS(:,28).*power(STATES(:,2), 3.00000).*CONSTANTS(:,6).*exp(( 0.350000.*CONSTANTS(:,10).*STATES(:,1))./( CONSTANTS(:,9).*CONSTANTS(:,11))) - 1.50000.*power(CONSTANTS(:,5), 3.00000).*STATES(:,3).*exp(( - 0.650000.*CONSTANTS(:,10).*STATES(:,1))./( CONSTANTS(:,9).*CONSTANTS(:,11))))./( (1.00000+power(CONSTANTS(:,33)./( 1.50000.*STATES(:,3)), 2.00000)).*(1.00000+ CONSTANTS(:,34).*exp(( - 0.650000.*STATES(:,1).*CONSTANTS(:,10))./( CONSTANTS(:,9).*CONSTANTS(:,11)))).*(ALGEBRAIC(:,81)+ALGEBRAIC(:,82))); ALGEBRAIC(:,84) = 1.00000./(1.00000+ 0.124500.*exp(( - 0.100000.*CONSTANTS(:,10).*STATES(:,1))./( CONSTANTS(:,9).*CONSTANTS(:,11)))+ 0.0365000.*CONSTANTS(:,78).*exp(( - CONSTANTS(:,10).*STATES(:,1))./( CONSTANTS(:,9).*CONSTANTS(:,11)))); ALGEBRAIC(:,85) = ( (( CONSTANTS(:,35).*ALGEBRAIC(:,84).*1.00000)./(1.00000+power(CONSTANTS(:,36)./STATES(:,2), 2.00000))).*CONSTANTS(:,7))./(CONSTANTS(:,7)+CONSTANTS(:,37)); ALGEBRAIC(:,89) = CONSTANTS(:,42).*(STATES(:,1) - ALGEBRAIC(:,20)); ALGEBRAIC(:,47) = (( - CONSTANTS(:,9).*CONSTANTS(:,11))./CONSTANTS(:,10)).*log(CONSTANTS(:,8)./STATES(:,5)); ALGEBRAIC(:,88) = ( CONSTANTS(:,41).*power(ALGEBRAIC(:,20) - ALGEBRAIC(:,47), 4.00000))./(power(ALGEBRAIC(:,20) - ALGEBRAIC(:,47), 4.00000)+power(87.8251, 4.00000)); ALGEBRAIC(:,37) = (( CONSTANTS(:,9).*CONSTANTS(:,11))./CONSTANTS(:,10)).*log(CONSTANTS(:,7)./STATES(:,4)); ALGEBRAIC(:,68) = CONSTANTS(:,22).*STATES(:,19).*( 0.800000.*STATES(:,20)+ 0.200000.*STATES(:,21)).*(STATES(:,1) - ALGEBRAIC(:,37)); ALGEBRAIC(:,69) = 1.00000./(1.00000+exp((STATES(:,1) - 5.40000)./20.4000)); ALGEBRAIC(:,70) = CONSTANTS(:,75).*STATES(:,22).*ALGEBRAIC(:,69).*(STATES(:,1) - ALGEBRAIC(:,37)); ALGEBRAIC(:,57) = (( CONSTANTS(:,9).*CONSTANTS(:,11))./CONSTANTS(:,10)).*log((CONSTANTS(:,7)+ CONSTANTS(:,4).*CONSTANTS(:,5))./(STATES(:,4)+ CONSTANTS(:,4).*STATES(:,2))); ALGEBRAIC(:,71) = 0.0525813.*(1.00000+0.600000./(1.00000+power(3.80000e-05./STATES(:,3), 1.40000))); ALGEBRAIC(:,72) = ALGEBRAIC(:,71).*STATES(:,23).*STATES(:,24).*(STATES(:,1) - ALGEBRAIC(:,57)); ALGEBRAIC(:,74) = 1.02000./(1.00000+exp( 0.238500.*(STATES(:,1) - (ALGEBRAIC(:,37)+59.2150)))); ALGEBRAIC(:,73) = ( 0.491240.*exp( 0.0803200.*((STATES(:,1)+5.47600) - ALGEBRAIC(:,37)))+exp( 0.0617500.*(STATES(:,1) - (594.310+ALGEBRAIC(:,37)))))./(1.00000+exp( - 0.514300.*((STATES(:,1)+4.75300) - ALGEBRAIC(:,37)))); ALGEBRAIC(:,75) = ALGEBRAIC(:,74)./(ALGEBRAIC(:,74)+ALGEBRAIC(:,73)); ALGEBRAIC(:,76) = ( CONSTANTS(:,76).*ALGEBRAIC(:,75)+0.00400000).*(STATES(:,1) - ALGEBRAIC(:,37)); ALGEBRAIC(:,90) = CONSTANTS(:,43).*(STATES(:,1) - ALGEBRAIC(:,37)); ALGEBRAIC(:,77) = 1.00000./(1.00000+exp((7.48800 - STATES(:,1))./5.98000)); ALGEBRAIC(:,78) = CONSTANTS(:,23).*ALGEBRAIC(:,77).*(STATES(:,1) - ALGEBRAIC(:,37)); ALGEBRAIC(:,87) = ( CONSTANTS(:,40).*(ALGEBRAIC(:,37) - ALGEBRAIC(:,47)))./((ALGEBRAIC(:,37)+87.8251) - ALGEBRAIC(:,47)); ALGEBRAIC(:,79) = ( (( (( 1.00000.*CONSTANTS(:,24))./CONSTANTS(:,20)).*power(CONSTANTS(:,25), 2.00000).*STATES(:,1).*power(CONSTANTS(:,10), 2.00000))./( CONSTANTS(:,9).*CONSTANTS(:,11))).*(STATES(:,5) - CONSTANTS(:,8).*exp(( - CONSTANTS(:,25).*STATES(:,1).*CONSTANTS(:,10))./( CONSTANTS(:,9).*CONSTANTS(:,11)))))./(1.00000 - exp(( - CONSTANTS(:,25).*STATES(:,1).*CONSTANTS(:,10))./( CONSTANTS(:,9).*CONSTANTS(:,11)))); ALGEBRAIC(:,80) = 20.0000.*ALGEBRAIC(:,79).*STATES(:,25); ALGEBRAIC(:,91) = CONSTANTS(:,45).*(STATES(:,1) - ALGEBRAIC(:,47)); ALGEBRAIC(:,1) = piecewise({VOI>=CONSTANTS(:,1)&VOI<=CONSTANTS(:,2), CONSTANTS(:,3) }, 0.00000); ALGEBRAIC(:,65) = CONSTANTS(:,21).*STATES(:,17).*STATES(:,18).*(STATES(:,1) - 50.0000); ALGEBRAIC(:,92) = ( (( (( 1.00000.*CONSTANTS(:,44))./CONSTANTS(:,20)).*power(CONSTANTS(:,16), 2.00000).*STATES(:,1).*power(CONSTANTS(:,10), 2.00000))./( CONSTANTS(:,9).*CONSTANTS(:,11))).*( CONSTANTS(:,17).*STATES(:,3).*exp(( CONSTANTS(:,16).*STATES(:,1).*CONSTANTS(:,10))./( CONSTANTS(:,9).*CONSTANTS(:,11))) - CONSTANTS(:,18).*CONSTANTS(:,6)))./(exp(( CONSTANTS(:,16).*STATES(:,1).*CONSTANTS(:,10))./( CONSTANTS(:,9).*CONSTANTS(:,11))) - 1.00000); ALGEBRAIC(:,86) = ( CONSTANTS(:,38).*STATES(:,3))./(CONSTANTS(:,39)+STATES(:,3)); ALGEBRAIC(:,93) = ALGEBRAIC(:,58)+ALGEBRAIC(:,59)+ALGEBRAIC(:,61)+ALGEBRAIC(:,65)+ALGEBRAIC(:,68)+ALGEBRAIC(:,80)+ALGEBRAIC(:,70)+ALGEBRAIC(:,72)+ALGEBRAIC(:,76)+ALGEBRAIC(:,83)+ALGEBRAIC(:,85)+ALGEBRAIC(:,89)+ALGEBRAIC(:,90)+ALGEBRAIC(:,92)+ALGEBRAIC(:,91)+ALGEBRAIC(:,86)+ALGEBRAIC(:,78); ALGEBRAIC(:,97) = ( CONSTANTS(:,52).*(1.00000 - STATES(:,26)))./(1.00000+CONSTANTS(:,19)./STATES(:,11)); ALGEBRAIC(:,62) = 0.300000./(1.00000 - ALGEBRAIC(:,61)./0.0500000)+0.550000./(1.00000+STATES(:,11)./0.00300000)+0.150000; ALGEBRAIC(:,98) = ALGEBRAIC(:,97)+STATES(:,26); ALGEBRAIC(:,99) = 0.500000+( 10.0000.*1.00000.*ALGEBRAIC(:,98))./( 1.00000.*ALGEBRAIC(:,98)+CONSTANTS(:,19))+1.00000./(1.00000+STATES(:,11)./0.00300000); ALGEBRAIC(:,105) = ( CONSTANTS(:,60).*1.00000.*ALGEBRAIC(:,98))./(CONSTANTS(:,19)+ 1.00000.*ALGEBRAIC(:,98)); ALGEBRAIC(:,101) = 1.00000./(1.00000+exp((ALGEBRAIC(:,61)+0.0500000)./0.0150000)); ALGEBRAIC(:,107) = (350.000 - ALGEBRAIC(:,105))./(1.00000+exp(((STATES(:,11) - 0.00300000)+ 0.00300000.*ALGEBRAIC(:,101))./0.000200000))+3.00000+ALGEBRAIC(:,105); ALGEBRAIC(:,103) = 1.00000./(1.00000+exp(((STATES(:,11) - 0.000400000)+ 0.00200000.*ALGEBRAIC(:,101))./2.50000e-05)); ALGEBRAIC(:,100) = (STATES(:,11) - STATES(:,3))./CONSTANTS(:,59); ALGEBRAIC(:,108) = 1.00000./(1.00000+exp(( CONSTANTS(:,14).*ALGEBRAIC(:,60)+13.0000)./5.00000)); ALGEBRAIC(:,109) = 3000.00.*ALGEBRAIC(:,108); ALGEBRAIC(:,110) = ALGEBRAIC(:,109).*STATES(:,30).*STATES(:,29).*(STATES(:,28) - STATES(:,11)); ALGEBRAIC(:,104) = ( 2.00000.*CONSTANTS(:,57).*STATES(:,11))./power(STATES(:,11)+CONSTANTS(:,55), 2.00000); ALGEBRAIC(:,102) = ( 2.00000.*CONSTANTS(:,58).*STATES(:,11))./power(STATES(:,11)+CONSTANTS(:,56), 2.00000); ALGEBRAIC(:,106) = 1.00000./(1.00000+ALGEBRAIC(:,104)+ALGEBRAIC(:,102)); ALGEBRAIC(:,95) = ( 2.00000.*CONSTANTS(:,48).*STATES(:,3))./power(STATES(:,3)+CONSTANTS(:,46), 2.00000); ALGEBRAIC(:,94) = ( 2.00000.*CONSTANTS(:,49).*STATES(:,3))./power(STATES(:,3)+CONSTANTS(:,47), 2.00000); ALGEBRAIC(:,96) = 1.00000./(1.00000+ALGEBRAIC(:,95)+ALGEBRAIC(:,94)); ALGEBRAIC(:,112) = ( CONSTANTS(:,66).*ALGEBRAIC(:,98).*1.00000)./(CONSTANTS(:,19)+ ALGEBRAIC(:,98).*1.00000); ALGEBRAIC(:,113) = ( CONSTANTS(:,67).*ALGEBRAIC(:,98).*1.00000)./(CONSTANTS(:,19)+ ALGEBRAIC(:,98).*1.00000); ALGEBRAIC(:,114) = ( CONSTANTS(:,64).*(ALGEBRAIC(:,112)+1.00000).*CONSTANTS(:,65).*STATES(:,3))./((STATES(:,3)+CONSTANTS(:,68)) - ALGEBRAIC(:,113)); ALGEBRAIC(:,111) = ( CONSTANTS(:,62).*STATES(:,27))./CONSTANTS(:,63); ALGEBRAIC(:,115) = (STATES(:,27) - STATES(:,28))./CONSTANTS(:,69); ALGEBRAIC(:,2) = (( CONSTANTS(:,9).*CONSTANTS(:,11))./( 2.00000.*CONSTANTS(:,10))).*log(CONSTANTS(:,6)./STATES(:,3)); 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