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 =90; end % There are a total of 31 entries in each of the rate and state variable arrays. % There are a total of 133 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 (second)'); LEGEND_CONSTANTS(:,1) = strpad('isotonic in component parameters (dimensionless)'); LEGEND_CONSTANTS(:,2) = strpad('alpha_1 in component parameters (per_micrometre)'); LEGEND_CONSTANTS(:,3) = strpad('beta_1 in component parameters (millinewton)'); LEGEND_CONSTANTS(:,4) = strpad('alpha_2 in component parameters (per_micrometre)'); LEGEND_CONSTANTS(:,5) = strpad('beta_2 in component parameters (millinewton)'); LEGEND_CONSTANTS(:,6) = strpad('alpha_3 in component parameters (per_micrometre)'); LEGEND_CONSTANTS(:,7) = strpad('beta_3 in component parameters (millinewton)'); LEGEND_CONSTANTS(:,8) = strpad('lambda in component parameters (millinewton)'); LEGEND_CONSTANTS(:,9) = strpad('mu in component parameters (dimensionless)'); LEGEND_CONSTANTS(:,10) = strpad('k_mu in component parameters (dimensionless)'); LEGEND_CONSTANTS(:,11) = strpad('kappa in component parameters (dimensionless)'); LEGEND_CONSTANTS(:,12) = strpad('kappa_0 in component parameters (dimensionless)'); LEGEND_CONSTANTS(:,13) = strpad('m_0 in component parameters (dimensionless)'); LEGEND_CONSTANTS(:,14) = strpad('v_max in component parameters (micrometre_per_second)'); LEGEND_CONSTANTS(:,15) = strpad('a in component parameters (dimensionless)'); LEGEND_CONSTANTS(:,16) = strpad('d_h in component parameters (dimensionless)'); LEGEND_CONSTANTS(:,17) = strpad('alpha_P in component parameters (dimensionless)'); LEGEND_ALGEBRAIC(:,38) = strpad('l in component length (micrometre)'); LEGEND_ALGEBRAIC(:,27) = strpad('F_muscle in component force (millinewton)'); LEGEND_CONSTANTS(:,18) = strpad('F_afterload in component isotonic (millinewton)'); LEGEND_ALGEBRAIC(:,41) = strpad('isotonic_mode in component isotonic (dimensionless)'); LEGEND_CONSTANTS(:,19) = strpad('l_0 in component length (micrometre)'); LEGEND_CONSTANTS(:,20) = strpad('stim_period in component membrane (second)'); LEGEND_CONSTANTS(:,21) = strpad('S_0 in component parameters_izakov_et_al_1991 (micrometre)'); LEGEND_ALGEBRAIC(:,3) = strpad('q_v in component parameters_izakov_et_al_1991 (per_second)'); LEGEND_CONSTANTS(:,22) = strpad('q_1 in component parameters_izakov_et_al_1991 (per_second)'); LEGEND_CONSTANTS(:,23) = strpad('q_2 in component parameters_izakov_et_al_1991 (per_second)'); LEGEND_CONSTANTS(:,24) = strpad('q_3 in component parameters_izakov_et_al_1991 (per_second)'); LEGEND_CONSTANTS(:,25) = strpad('q_4 in component parameters_izakov_et_al_1991 (per_second)'); LEGEND_CONSTANTS(:,26) = strpad('x_st in component parameters_izakov_et_al_1991 (dimensionless)'); LEGEND_CONSTANTS(:,124) = strpad('v_st in component parameters_izakov_et_al_1991 (micrometre_per_second)'); LEGEND_CONSTANTS(:,125) = strpad('v_1 in component parameters_izakov_et_al_1991 (micrometre_per_second)'); LEGEND_CONSTANTS(:,27) = strpad('alpha_G in component parameters_izakov_et_al_1991 (dimensionless)'); LEGEND_CONSTANTS(:,28) = strpad('k_A in component parameters_izakov_et_al_1991 (per_millimolar)'); LEGEND_STATES(:,1) = strpad('v in component CE_velocity (micrometre_per_second)'); LEGEND_CONSTANTS(:,29) = strpad('alpha_Q in component parameters_izakov_et_al_1991 (dimensionless)'); LEGEND_CONSTANTS(:,30) = strpad('beta_Q in component parameters_izakov_et_al_1991 (dimensionless)'); LEGEND_ALGEBRAIC(:,72) = strpad('F_CE in component force (millinewton)'); LEGEND_ALGEBRAIC(:,16) = strpad('F_XSE in component force (millinewton)'); LEGEND_ALGEBRAIC(:,1) = strpad('F_SE in component force (millinewton)'); LEGEND_ALGEBRAIC(:,2) = strpad('F_PE in component force (millinewton)'); LEGEND_STATES(:,2) = strpad('N in component crossbridge_kinetics (dimensionless)'); LEGEND_ALGEBRAIC(:,45) = strpad('k_P_vis in component CE_velocity (millinewton_second_per_micrometre)'); LEGEND_ALGEBRAIC(:,52) = strpad('k_S_vis in component PE_velocity (millinewton_second_per_micrometre)'); LEGEND_STATES(:,3) = strpad('w in component PE_velocity (micrometre_per_second)'); LEGEND_STATES(:,4) = strpad('l_1 in component length (micrometre)'); LEGEND_STATES(:,5) = strpad('l_2 in component length (micrometre)'); LEGEND_STATES(:,6) = strpad('l_3 in component length (micrometre)'); LEGEND_ALGEBRAIC(:,70) = strpad('p_v in component average_crossbridge_force (dimensionless)'); LEGEND_ALGEBRAIC(:,64) = strpad('K_kappa in component crossbridge_kinetics (per_second)'); LEGEND_ALGEBRAIC(:,32) = strpad('M_A in component crossbridge_kinetics (dimensionless)'); LEGEND_ALGEBRAIC(:,34) = strpad('n_1 in component crossbridge_kinetics (dimensionless)'); LEGEND_ALGEBRAIC(:,36) = strpad('L_oz in component crossbridge_kinetics (dimensionless)'); LEGEND_ALGEBRAIC(:,60) = strpad('k_p_v in component crossbridge_kinetics (per_second)'); LEGEND_ALGEBRAIC(:,62) = strpad('k_m_v in component crossbridge_kinetics (per_second)'); LEGEND_STATES(:,7) = strpad('A in component intracellular_calcium_concentration (millimolar)'); LEGEND_CONSTANTS(:,31) = strpad('A_tot in component intracellular_calcium_concentration (millimolar)'); LEGEND_ALGEBRAIC(:,58) = strpad('G_star in component average_crossbridge_force (dimensionless)'); LEGEND_ALGEBRAIC(:,54) = strpad('P_star in component average_crossbridge_force (dimensionless)'); LEGEND_CONSTANTS(:,32) = strpad('g_1 in component crossbridge_kinetics (per_micrometre)'); LEGEND_CONSTANTS(:,33) = strpad('g_2 in component crossbridge_kinetics (dimensionless)'); LEGEND_ALGEBRAIC(:,4) = strpad('dl_1_dt in component length (micrometre_per_second)'); LEGEND_ALGEBRAIC(:,55) = strpad('dl_2_dt in component length (micrometre_per_second)'); LEGEND_ALGEBRAIC(:,56) = strpad('dl_3_dt in component length (micrometre_per_second)'); LEGEND_ALGEBRAIC(:,48) = strpad('phi_chi_2 in component CE_velocity (micrometre_per_second)'); LEGEND_CONSTANTS(:,34) = strpad('stim_start in component membrane (second)'); LEGEND_CONSTANTS(:,35) = strpad('stim_end in component membrane (second)'); LEGEND_CONSTANTS(:,36) = strpad('stim_duration in component membrane (second)'); LEGEND_CONSTANTS(:,37) = strpad('stim_amplitude in component membrane (nanoA)'); LEGEND_ALGEBRAIC(:,75) = strpad('phi_chi in component CE_velocity (micrometre_per_second2)'); LEGEND_ALGEBRAIC(:,73) = strpad('p_prime_v in component average_crossbridge_force (second_per_micrometre)'); LEGEND_CONSTANTS(:,38) = strpad('alpha_P_lengthening in component CE_velocity (per_micrometre)'); LEGEND_CONSTANTS(:,39) = strpad('beta_P_lengthening in component CE_velocity (millinewton_second_per_micrometre)'); LEGEND_CONSTANTS(:,40) = strpad('alpha_P_shortening in component CE_velocity (per_micrometre)'); LEGEND_CONSTANTS(:,41) = strpad('beta_P_shortening in component CE_velocity (millinewton_second_per_micrometre)'); LEGEND_ALGEBRAIC(:,43) = strpad('alp_p in component CE_velocity (per_micrometre)'); LEGEND_CONSTANTS(:,42) = strpad('alpha_S_lengthening in component PE_velocity (per_micrometre)'); LEGEND_CONSTANTS(:,43) = strpad('beta_S_lengthening in component PE_velocity (millinewton_second_per_micrometre)'); LEGEND_CONSTANTS(:,44) = strpad('alpha_S_shortening in component PE_velocity (per_micrometre)'); LEGEND_CONSTANTS(:,45) = strpad('beta_S_shortening in component PE_velocity (millinewton_second_per_micrometre)'); LEGEND_ALGEBRAIC(:,50) = strpad('alp_s in component PE_velocity (per_micrometre)'); LEGEND_CONSTANTS(:,131) = strpad('gamma in component average_crossbridge_force (dimensionless)'); LEGEND_CONSTANTS(:,126) = strpad('case_1 in component average_crossbridge_force (second_per_micrometre)'); LEGEND_ALGEBRAIC(:,66) = strpad('case_2 in component average_crossbridge_force (second_per_micrometre)'); LEGEND_CONSTANTS(:,127) = strpad('case_3 in component average_crossbridge_force (second_per_micrometre)'); LEGEND_ALGEBRAIC(:,68) = strpad('case_4 in component average_crossbridge_force (second_per_micrometre)'); LEGEND_STATES(:,8) = strpad('V in component membrane (millivolt)'); LEGEND_CONSTANTS(:,46) = strpad('R in component membrane (joule_per_kilomole_kelvin)'); LEGEND_CONSTANTS(:,47) = strpad('T in component membrane (kelvin)'); LEGEND_CONSTANTS(:,48) = strpad('F in component membrane (coulomb_per_mole)'); LEGEND_CONSTANTS(:,49) = strpad('Cm in component membrane (microF)'); LEGEND_ALGEBRAIC(:,53) = strpad('i_K1 in component time_independent_potassium_current (nanoA)'); LEGEND_ALGEBRAIC(:,80) = strpad('i_to in component transient_outward_current (nanoA)'); LEGEND_ALGEBRAIC(:,57) = strpad('i_Kr in component rapid_delayed_rectifier_potassium_current (nanoA)'); LEGEND_ALGEBRAIC(:,59) = strpad('i_Ks in component slow_delayed_rectifier_potassium_current (nanoA)'); LEGEND_ALGEBRAIC(:,69) = strpad('i_Ca_L_K_cyt in component L_type_Ca_channel (nanoA)'); LEGEND_ALGEBRAIC(:,76) = strpad('i_Ca_L_K_ds in component L_type_Ca_channel (nanoA)'); LEGEND_ALGEBRAIC(:,81) = strpad('i_NaK in component sodium_potassium_pump (nanoA)'); LEGEND_ALGEBRAIC(:,61) = strpad('i_Na in component fast_sodium_current (nanoA)'); LEGEND_ALGEBRAIC(:,65) = strpad('i_b_Na in component sodium_background_current (nanoA)'); LEGEND_ALGEBRAIC(:,63) = strpad('i_p_Na in component persistent_sodium_current (nanoA)'); LEGEND_ALGEBRAIC(:,71) = strpad('i_Ca_L_Na_cyt in component L_type_Ca_channel (nanoA)'); LEGEND_ALGEBRAIC(:,77) = strpad('i_Ca_L_Na_ds in component L_type_Ca_channel (nanoA)'); LEGEND_ALGEBRAIC(:,82) = strpad('i_NaCa_cyt in component sodium_calcium_exchanger (nanoA)'); LEGEND_ALGEBRAIC(:,83) = strpad('i_NaCa_ds in component sodium_calcium_exchanger (nanoA)'); LEGEND_ALGEBRAIC(:,67) = strpad('i_Ca_L_Ca_cyt in component L_type_Ca_channel (nanoA)'); LEGEND_ALGEBRAIC(:,74) = strpad('i_Ca_L_Ca_ds in component L_type_Ca_channel (nanoA)'); LEGEND_ALGEBRAIC(:,79) = strpad('i_b_Ca in component calcium_background_current (nanoA)'); LEGEND_ALGEBRAIC(:,40) = strpad('i_Stim in component membrane (nanoA)'); LEGEND_ALGEBRAIC(:,42) = strpad('E_Na in component reversal_potentials (millivolt)'); LEGEND_ALGEBRAIC(:,44) = strpad('E_K in component reversal_potentials (millivolt)'); LEGEND_ALGEBRAIC(:,47) = strpad('E_Ks in component reversal_potentials (millivolt)'); LEGEND_ALGEBRAIC(:,49) = strpad('E_Ca in component reversal_potentials (millivolt)'); LEGEND_ALGEBRAIC(:,51) = strpad('E_mh in component reversal_potentials (millivolt)'); LEGEND_CONSTANTS(:,50) = strpad('P_kna in component reversal_potentials (dimensionless)'); LEGEND_STATES(:,9) = strpad('K_o in component extracellular_potassium_concentration (millimolar)'); LEGEND_CONSTANTS(:,51) = strpad('Na_o in component extracellular_sodium_concentration (millimolar)'); LEGEND_STATES(:,10) = strpad('K_i in component intracellular_potassium_concentration (millimolar)'); LEGEND_STATES(:,11) = strpad('Na_i in component intracellular_sodium_concentration (millimolar)'); LEGEND_CONSTANTS(:,52) = strpad('Ca_o in component extracellular_calcium_concentration (millimolar)'); LEGEND_STATES(:,12) = strpad('Ca_i in component intracellular_calcium_concentration (millimolar)'); LEGEND_CONSTANTS(:,53) = strpad('K_mk1 in component time_independent_potassium_current (millimolar)'); LEGEND_CONSTANTS(:,54) = strpad('g_K1 in component time_independent_potassium_current (microS)'); LEGEND_CONSTANTS(:,55) = strpad('g_Kr1 in component rapid_delayed_rectifier_potassium_current (microS)'); LEGEND_CONSTANTS(:,56) = strpad('g_Kr2 in component rapid_delayed_rectifier_potassium_current (microS)'); LEGEND_STATES(:,13) = strpad('xr1 in component rapid_delayed_rectifier_potassium_current_xr1_gate (dimensionless)'); LEGEND_STATES(:,14) = strpad('xr2 in component rapid_delayed_rectifier_potassium_current_xr2_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,5) = strpad('alpha_xr1 in component rapid_delayed_rectifier_potassium_current_xr1_gate (per_second)'); LEGEND_ALGEBRAIC(:,17) = strpad('beta_xr1 in component rapid_delayed_rectifier_potassium_current_xr1_gate (per_second)'); LEGEND_ALGEBRAIC(:,6) = strpad('alpha_xr2 in component rapid_delayed_rectifier_potassium_current_xr2_gate (per_second)'); LEGEND_ALGEBRAIC(:,18) = strpad('beta_xr2 in component rapid_delayed_rectifier_potassium_current_xr2_gate (per_second)'); LEGEND_CONSTANTS(:,57) = strpad('g_Ks in component slow_delayed_rectifier_potassium_current (microS)'); LEGEND_STATES(:,15) = strpad('xs in component slow_delayed_rectifier_potassium_current_xs_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,7) = strpad('alpha_xs in component slow_delayed_rectifier_potassium_current_xs_gate (per_second)'); LEGEND_ALGEBRAIC(:,19) = strpad('beta_xs in component slow_delayed_rectifier_potassium_current_xs_gate (per_second)'); LEGEND_ALGEBRAIC(:,46) = strpad('i_KNa in component sodium_activated_potassium_current (nanoA)'); LEGEND_CONSTANTS(:,58) = strpad('g_K_Na in component sodium_activated_potassium_current (microS)'); LEGEND_CONSTANTS(:,59) = strpad('K_kna in component sodium_activated_potassium_current (millimolar)'); LEGEND_CONSTANTS(:,60) = strpad('g_Na in component fast_sodium_current (microS)'); LEGEND_STATES(:,16) = strpad('m in component fast_sodium_current_m_gate (dimensionless)'); LEGEND_STATES(:,17) = strpad('h in component fast_sodium_current_h_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,20) = strpad('alpha_m in component fast_sodium_current_m_gate (per_second)'); LEGEND_ALGEBRAIC(:,28) = strpad('beta_m in component fast_sodium_current_m_gate (per_second)'); LEGEND_CONSTANTS(:,61) = strpad('delta_m in component fast_sodium_current_m_gate (millivolt)'); LEGEND_ALGEBRAIC(:,8) = strpad('E0_m in component fast_sodium_current_m_gate (millivolt)'); LEGEND_ALGEBRAIC(:,9) = strpad('alpha_h in component fast_sodium_current_h_gate (per_second)'); LEGEND_ALGEBRAIC(:,21) = strpad('beta_h in component fast_sodium_current_h_gate (per_second)'); LEGEND_CONSTANTS(:,62) = strpad('g_pna in component persistent_sodium_current (microS)'); LEGEND_CONSTANTS(:,63) = strpad('g_bna in component sodium_background_current (microS)'); LEGEND_ALGEBRAIC(:,78) = strpad('i_Ca_L in component L_type_Ca_channel (nanoA)'); LEGEND_CONSTANTS(:,64) = strpad('P_Ca_L in component L_type_Ca_channel (nanoA_per_millimolar)'); LEGEND_CONSTANTS(:,65) = strpad('P_CaK in component L_type_Ca_channel (dimensionless)'); LEGEND_CONSTANTS(:,66) = strpad('P_CaNa in component L_type_Ca_channel (dimensionless)'); LEGEND_STATES(:,18) = strpad('Ca_ds in component intracellular_calcium_concentration (millimolar)'); LEGEND_STATES(:,19) = strpad('d in component L_type_Ca_channel_d_gate (dimensionless)'); LEGEND_STATES(:,20) = strpad('f in component L_type_Ca_channel_f_gate (dimensionless)'); LEGEND_STATES(:,21) = strpad('f2 in component L_type_Ca_channel_f2_gate (dimensionless)'); LEGEND_STATES(:,22) = strpad('f2ds in component L_type_Ca_channel_f2ds_gate (dimensionless)'); LEGEND_CONSTANTS(:,67) = strpad('Km_f2 in component L_type_Ca_channel (millimolar)'); LEGEND_CONSTANTS(:,68) = strpad('Km_f2ds in component L_type_Ca_channel (millimolar)'); LEGEND_CONSTANTS(:,69) = strpad('R_decay in component L_type_Ca_channel (per_second)'); LEGEND_CONSTANTS(:,70) = strpad('FrICa in component L_type_Ca_channel (dimensionless)'); LEGEND_ALGEBRAIC(:,22) = strpad('alpha_d in component L_type_Ca_channel_d_gate (per_second)'); LEGEND_ALGEBRAIC(:,29) = strpad('beta_d in component L_type_Ca_channel_d_gate (per_second)'); LEGEND_ALGEBRAIC(:,10) = strpad('E0_d in component L_type_Ca_channel_d_gate (millivolt)'); LEGEND_CONSTANTS(:,71) = strpad('speed_d in component L_type_Ca_channel_d_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,23) = strpad('alpha_f in component L_type_Ca_channel_f_gate (per_second)'); LEGEND_ALGEBRAIC(:,30) = strpad('beta_f in component L_type_Ca_channel_f_gate (per_second)'); LEGEND_CONSTANTS(:,72) = strpad('speed_f in component L_type_Ca_channel_f_gate (dimensionless)'); LEGEND_CONSTANTS(:,73) = strpad('delta_f in component L_type_Ca_channel_f_gate (millivolt)'); LEGEND_ALGEBRAIC(:,11) = strpad('E0_f in component L_type_Ca_channel_f_gate (millivolt)'); LEGEND_CONSTANTS(:,74) = strpad('g_bca in component calcium_background_current (microS)'); LEGEND_CONSTANTS(:,75) = strpad('g_to in component transient_outward_current (microS)'); LEGEND_CONSTANTS(:,76) = strpad('g_tos in component transient_outward_current (dimensionless)'); LEGEND_STATES(:,23) = strpad('s in component transient_outward_current_s_gate (dimensionless)'); LEGEND_STATES(:,24) = strpad('r in component transient_outward_current_r_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,12) = strpad('alpha_s in component transient_outward_current_s_gate (per_second)'); LEGEND_ALGEBRAIC(:,24) = strpad('beta_s in component transient_outward_current_s_gate (per_second)'); LEGEND_CONSTANTS(:,77) = strpad('i_NaK_max in component sodium_potassium_pump (nanoA)'); LEGEND_CONSTANTS(:,78) = strpad('K_mK in component sodium_potassium_pump (millimolar)'); LEGEND_CONSTANTS(:,79) = strpad('K_mNa in component sodium_potassium_pump (millimolar)'); LEGEND_ALGEBRAIC(:,85) = strpad('i_NaCa in component sodium_calcium_exchanger (nanoA)'); LEGEND_CONSTANTS(:,80) = strpad('k_NaCa in component sodium_calcium_exchanger (nanoA)'); LEGEND_CONSTANTS(:,81) = strpad('n_NaCa in component sodium_calcium_exchanger (dimensionless)'); LEGEND_CONSTANTS(:,82) = strpad('d_NaCa in component sodium_calcium_exchanger (dimensionless)'); LEGEND_CONSTANTS(:,83) = strpad('gamma in component sodium_calcium_exchanger (dimensionless)'); LEGEND_CONSTANTS(:,84) = strpad('FRiNaCa in component sodium_calcium_exchanger (dimensionless)'); LEGEND_ALGEBRAIC(:,86) = strpad('i_up in component sarcoplasmic_reticulum_calcium_pump (millimolar_per_second)'); LEGEND_CONSTANTS(:,129) = strpad('K_1 in component sarcoplasmic_reticulum_calcium_pump (dimensionless)'); LEGEND_ALGEBRAIC(:,84) = strpad('K_2 in component sarcoplasmic_reticulum_calcium_pump (millimolar)'); LEGEND_CONSTANTS(:,85) = strpad('K_cyca in component sarcoplasmic_reticulum_calcium_pump (millimolar)'); LEGEND_CONSTANTS(:,86) = strpad('K_xcs in component sarcoplasmic_reticulum_calcium_pump (dimensionless)'); LEGEND_CONSTANTS(:,87) = strpad('K_srca in component sarcoplasmic_reticulum_calcium_pump (millimolar)'); LEGEND_CONSTANTS(:,88) = strpad('alpha_up in component sarcoplasmic_reticulum_calcium_pump (millimolar_per_second)'); LEGEND_CONSTANTS(:,89) = strpad('beta_up in component sarcoplasmic_reticulum_calcium_pump (millimolar_per_second)'); LEGEND_STATES(:,25) = strpad('Ca_up in component intracellular_calcium_concentration (millimolar)'); LEGEND_CONSTANTS(:,90) = strpad('flag_ingib in component sarcoplasmic_reticulum_calcium_pump (dimensionless)'); LEGEND_CONSTANTS(:,91) = strpad('K_inh in component sarcoplasmic_reticulum_calcium_pump (millimolar)'); LEGEND_ALGEBRAIC(:,87) = strpad('i_trans in component calcium_translocation (millimolar_per_second)'); LEGEND_STATES(:,26) = strpad('Ca_rel in component intracellular_calcium_concentration (millimolar)'); LEGEND_CONSTANTS(:,92) = strpad('a_tr in component calcium_translocation (per_second)'); LEGEND_CONSTANTS(:,93) = strpad('alpha_CaS in component calcium_translocation (per_millimolar_second)'); LEGEND_CONSTANTS(:,94) = strpad('beta_CaS in component calcium_translocation (per_second)'); LEGEND_CONSTANTS(:,95) = strpad('CaS_tot in component calcium_translocation (millimolar)'); LEGEND_CONSTANTS(:,130) = strpad('beta in component calcium_translocation (millimolar)'); LEGEND_ALGEBRAIC(:,88) = strpad('i_rel in component calcium_release (millimolar_per_second)'); LEGEND_ALGEBRAIC(:,13) = strpad('VoltDep in component calcium_release (dimensionless)'); LEGEND_ALGEBRAIC(:,31) = strpad('RegBindSite in component calcium_release (dimensionless)'); LEGEND_ALGEBRAIC(:,14) = strpad('CaiReg in component calcium_release (dimensionless)'); LEGEND_ALGEBRAIC(:,25) = strpad('CadsReg in component calcium_release (dimensionless)'); LEGEND_ALGEBRAIC(:,33) = strpad('ActRate in component calcium_release (per_second)'); LEGEND_ALGEBRAIC(:,35) = strpad('InactRate in component calcium_release (per_second)'); LEGEND_CONSTANTS(:,96) = strpad('SRLeak in component calcium_release (per_second)'); LEGEND_CONSTANTS(:,97) = strpad('K_m_rel in component calcium_release (per_second)'); LEGEND_CONSTANTS(:,98) = strpad('K_m_Ca_cyt in component calcium_release (millimolar)'); LEGEND_CONSTANTS(:,99) = strpad('K_m_Ca_ds in component calcium_release (millimolar)'); LEGEND_ALGEBRAIC(:,39) = strpad('PrecFrac in component calcium_release (dimensionless)'); LEGEND_STATES(:,27) = strpad('ActFrac in component calcium_release (dimensionless)'); LEGEND_STATES(:,28) = strpad('ProdFrac in component calcium_release (dimensionless)'); LEGEND_ALGEBRAIC(:,37) = strpad('SpeedRel in component calcium_release (dimensionless)'); LEGEND_CONSTANTS(:,132) = strpad('V_i in component intracellular_calcium_concentration (micrometre3)'); LEGEND_CONSTANTS(:,100) = strpad('n_NaK in component intracellular_sodium_concentration (dimensionless)'); LEGEND_CONSTANTS(:,101) = strpad('K_b in component extracellular_potassium_concentration (millimolar)'); LEGEND_CONSTANTS(:,133) = strpad('V_e in component intracellular_calcium_concentration (micrometre3)'); LEGEND_CONSTANTS(:,102) = strpad('radius in component intracellular_calcium_concentration (micrometre)'); LEGEND_CONSTANTS(:,103) = strpad('length in component intracellular_calcium_concentration (micrometre)'); LEGEND_CONSTANTS(:,128) = strpad('V_Cell in component intracellular_calcium_concentration (micrometre3)'); LEGEND_CONSTANTS(:,104) = strpad('V_i_ratio in component intracellular_calcium_concentration (dimensionless)'); LEGEND_CONSTANTS(:,105) = strpad('V_ds_ratio in component intracellular_calcium_concentration (dimensionless)'); LEGEND_CONSTANTS(:,106) = strpad('V_rel_ratio in component intracellular_calcium_concentration (dimensionless)'); LEGEND_CONSTANTS(:,107) = strpad('V_e_ratio in component intracellular_calcium_concentration (dimensionless)'); LEGEND_CONSTANTS(:,108) = strpad('V_up_ratio in component intracellular_calcium_concentration (dimensionless)'); LEGEND_CONSTANTS(:,109) = strpad('Kdecay in component intracellular_calcium_concentration (per_second)'); LEGEND_ALGEBRAIC(:,89) = strpad('N_A in component intracellular_calcium_concentration (dimensionless)'); LEGEND_ALGEBRAIC(:,90) = strpad('pi_N_A in component intracellular_calcium_concentration (dimensionless)'); LEGEND_CONSTANTS(:,110) = strpad('pi_min in component intracellular_calcium_concentration (dimensionless)'); LEGEND_CONSTANTS(:,111) = strpad('a_on in component intracellular_calcium_concentration (per_millimolar_second)'); LEGEND_CONSTANTS(:,112) = strpad('a_off in component intracellular_calcium_concentration (per_second)'); LEGEND_STATES(:,29) = strpad('B_1 in component intracellular_calcium_concentration (millimolar)'); LEGEND_CONSTANTS(:,113) = strpad('B_1_tot in component intracellular_calcium_concentration (millimolar)'); LEGEND_CONSTANTS(:,114) = strpad('b_1_on in component intracellular_calcium_concentration (per_millimolar_second)'); LEGEND_CONSTANTS(:,115) = strpad('b_1_off in component intracellular_calcium_concentration (per_second)'); LEGEND_STATES(:,30) = strpad('B_2 in component intracellular_calcium_concentration (millimolar)'); LEGEND_CONSTANTS(:,116) = strpad('B_2_tot in component intracellular_calcium_concentration (millimolar)'); LEGEND_CONSTANTS(:,117) = strpad('b_2_on in component intracellular_calcium_concentration (per_millimolar_second)'); LEGEND_CONSTANTS(:,118) = strpad('b_2_off in component intracellular_calcium_concentration (per_second)'); LEGEND_CONSTANTS(:,119) = strpad('g_fibro_junct in component fibroblast (microS)'); LEGEND_CONSTANTS(:,120) = strpad('g_fibro in component fibroblast (microS)'); LEGEND_CONSTANTS(:,121) = strpad('c_fibro in component fibroblast (microF)'); LEGEND_CONSTANTS(:,122) = strpad('g_fibro_stretch in component fibroblast (microS)'); LEGEND_CONSTANTS(:,123) = strpad('E_fibro_stretch in component fibroblast (millivolt)'); LEGEND_STATES(:,31) = strpad('V_fibro in component fibroblast (millivolt)'); LEGEND_ALGEBRAIC(:,15) = strpad('i_fibro in component fibroblast (nanoA)'); LEGEND_ALGEBRAIC(:,26) = strpad('i_fibro_junct in component fibroblast (nanoA)'); LEGEND_RATES(:,2) = strpad('d/dt N in component crossbridge_kinetics (dimensionless)'); LEGEND_RATES(:,4) = strpad('d/dt l_1 in component length (micrometre)'); LEGEND_RATES(:,5) = strpad('d/dt l_2 in component length (micrometre)'); LEGEND_RATES(:,6) = strpad('d/dt l_3 in component length (micrometre)'); LEGEND_RATES(:,1) = strpad('d/dt v in component CE_velocity (micrometre_per_second)'); LEGEND_RATES(:,3) = strpad('d/dt w in component PE_velocity (micrometre_per_second)'); LEGEND_RATES(:,8) = strpad('d/dt V in component membrane (millivolt)'); LEGEND_RATES(:,13) = strpad('d/dt xr1 in component rapid_delayed_rectifier_potassium_current_xr1_gate (dimensionless)'); LEGEND_RATES(:,14) = strpad('d/dt xr2 in component rapid_delayed_rectifier_potassium_current_xr2_gate (dimensionless)'); LEGEND_RATES(:,15) = strpad('d/dt xs in component slow_delayed_rectifier_potassium_current_xs_gate (dimensionless)'); LEGEND_RATES(:,16) = strpad('d/dt m in component fast_sodium_current_m_gate (dimensionless)'); LEGEND_RATES(:,17) = strpad('d/dt h in component fast_sodium_current_h_gate (dimensionless)'); LEGEND_RATES(:,19) = strpad('d/dt d in component L_type_Ca_channel_d_gate (dimensionless)'); LEGEND_RATES(:,20) = strpad('d/dt f in component L_type_Ca_channel_f_gate (dimensionless)'); LEGEND_RATES(:,21) = strpad('d/dt f2 in component L_type_Ca_channel_f2_gate (dimensionless)'); LEGEND_RATES(:,22) = strpad('d/dt f2ds in component L_type_Ca_channel_f2ds_gate (dimensionless)'); LEGEND_RATES(:,23) = strpad('d/dt s in component transient_outward_current_s_gate (dimensionless)'); LEGEND_RATES(:,24) = strpad('d/dt r in component transient_outward_current_r_gate (dimensionless)'); LEGEND_RATES(:,27) = strpad('d/dt ActFrac in component calcium_release (dimensionless)'); LEGEND_RATES(:,28) = strpad('d/dt ProdFrac in component calcium_release (dimensionless)'); LEGEND_RATES(:,11) = strpad('d/dt Na_i in component intracellular_sodium_concentration (millimolar)'); LEGEND_RATES(:,9) = strpad('d/dt K_o in component extracellular_potassium_concentration (millimolar)'); LEGEND_RATES(:,10) = strpad('d/dt K_i in component intracellular_potassium_concentration (millimolar)'); LEGEND_RATES(:,7) = strpad('d/dt A in component intracellular_calcium_concentration (millimolar)'); LEGEND_RATES(:,29) = strpad('d/dt B_1 in component intracellular_calcium_concentration (millimolar)'); LEGEND_RATES(:,30) = strpad('d/dt B_2 in component intracellular_calcium_concentration (millimolar)'); LEGEND_RATES(:,12) = strpad('d/dt Ca_i in component intracellular_calcium_concentration (millimolar)'); LEGEND_RATES(:,18) = strpad('d/dt Ca_ds in component intracellular_calcium_concentration (millimolar)'); LEGEND_RATES(:,25) = strpad('d/dt Ca_up in component intracellular_calcium_concentration (millimolar)'); LEGEND_RATES(:,26) = strpad('d/dt Ca_rel in component intracellular_calcium_concentration (millimolar)'); LEGEND_RATES(:,31) = strpad('d/dt V_fibro in component fibroblast (millivolt)'); LEGEND_STATES = LEGEND_STATES'; LEGEND_ALGEBRAIC = LEGEND_ALGEBRAIC'; LEGEND_RATES = LEGEND_RATES'; LEGEND_CONSTANTS = LEGEND_CONSTANTS'; end function [STATES, CONSTANTS] = initConsts() VOI = 0; CONSTANTS = []; STATES = []; ALGEBRAIC = []; CONSTANTS(:,1) = 0; CONSTANTS(:,2) = 14.6; CONSTANTS(:,3) = 0.84; CONSTANTS(:,4) = 14.6; CONSTANTS(:,5) = 0.0018; CONSTANTS(:,6) = 48; CONSTANTS(:,7) = 0.015; CONSTANTS(:,8) = 30; CONSTANTS(:,9) = 3; CONSTANTS(:,10) = 0.6; CONSTANTS(:,11) = 0.705; CONSTANTS(:,12) = 3; CONSTANTS(:,13) = 0.9; CONSTANTS(:,14) = 5.5; CONSTANTS(:,15) = 0.25; CONSTANTS(:,16) = 0.5; CONSTANTS(:,17) = 4; CONSTANTS(:,18) = 2; CONSTANTS(:,19) = 0.525139356105856; CONSTANTS(:,20) = 1; CONSTANTS(:,21) = 1.14; CONSTANTS(:,22) = 17.3; CONSTANTS(:,23) = 259; CONSTANTS(:,24) = 17.3; CONSTANTS(:,25) = 15; CONSTANTS(:,26) = 0.964285; CONSTANTS(:,27) = 1; CONSTANTS(:,28) = 40; STATES(:,1) = 0; CONSTANTS(:,29) = 10; CONSTANTS(:,30) = 5; STATES(:,2) = 7.455e-8; STATES(:,3) = 0; STATES(:,4) = 0.436333342969918; STATES(:,5) = 0.436333525334166; STATES(:,6) = 0.088805830771694; STATES(:,7) = 0.00015; CONSTANTS(:,31) = 0.07; CONSTANTS(:,32) = 0.6; CONSTANTS(:,33) = 0.52; CONSTANTS(:,34) = 0.06; CONSTANTS(:,35) = 10000; CONSTANTS(:,36) = 0.0025; CONSTANTS(:,37) = -3; CONSTANTS(:,38) = 16; CONSTANTS(:,39) = 0.0015; CONSTANTS(:,40) = 16; CONSTANTS(:,41) = 0.0015; CONSTANTS(:,42) = 46; CONSTANTS(:,43) = 0; CONSTANTS(:,44) = 39; CONSTANTS(:,45) = 0; STATES(:,8) = -93.658148; CONSTANTS(:,46) = 8314.472; CONSTANTS(:,47) = 310; CONSTANTS(:,48) = 96485.3415; CONSTANTS(:,49) = 9.5e-5; CONSTANTS(:,50) = 0.03; STATES(:,9) = 3.988; CONSTANTS(:,51) = 140; STATES(:,10) = 139.054; STATES(:,11) = 5.18787513289509; CONSTANTS(:,52) = 2; STATES(:,12) = 6.15e-6; CONSTANTS(:,53) = 10; CONSTANTS(:,54) = 0.5; CONSTANTS(:,55) = 0.0021; CONSTANTS(:,56) = 0.0013; STATES(:,13) = 8.88859784542779e-6; STATES(:,14) = 1.53745791069154e-7; CONSTANTS(:,57) = 0.0026; STATES(:,15) = 0.001; CONSTANTS(:,58) = 0; CONSTANTS(:,59) = 20; CONSTANTS(:,60) = 2.5; STATES(:,16) = 0.0015; STATES(:,17) = 0.995; CONSTANTS(:,61) = 1e-5; CONSTANTS(:,62) = 0.004; CONSTANTS(:,63) = 0.0006; CONSTANTS(:,64) = 0.1; CONSTANTS(:,65) = 0.002; CONSTANTS(:,66) = 0.01; STATES(:,18) = 2.55e-6; STATES(:,19) = 0; STATES(:,20) = 1; STATES(:,21) = 1; STATES(:,22) = 0.997; CONSTANTS(:,67) = 100000; CONSTANTS(:,68) = 0.001; CONSTANTS(:,69) = 20; CONSTANTS(:,70) = 1; CONSTANTS(:,71) = 3; CONSTANTS(:,72) = 0.3; CONSTANTS(:,73) = 0.0001; CONSTANTS(:,74) = 0.00025; CONSTANTS(:,75) = 0.006; CONSTANTS(:,76) = 0; STATES(:,23) = 0.997044616031121; STATES(:,24) = 1.63117173173398e-8; CONSTANTS(:,77) = 0.7; CONSTANTS(:,78) = 1; CONSTANTS(:,79) = 24.2; CONSTANTS(:,80) = 0.0005; CONSTANTS(:,81) = 3; CONSTANTS(:,82) = 0; CONSTANTS(:,83) = 0.5; CONSTANTS(:,84) = 0.001; CONSTANTS(:,85) = 0.00015; CONSTANTS(:,86) = 0.4; CONSTANTS(:,87) = 0.5; CONSTANTS(:,88) = 1; CONSTANTS(:,89) = 0.03; STATES(:,25) = 0.994579; CONSTANTS(:,90) = 0; CONSTANTS(:,91) = 4; STATES(:,26) = 0.989665; CONSTANTS(:,92) = 15; CONSTANTS(:,93) = 50000; CONSTANTS(:,94) = 32500; CONSTANTS(:,95) = 40; CONSTANTS(:,96) = 0.05; CONSTANTS(:,97) = 10000; CONSTANTS(:,98) = 0.0005; CONSTANTS(:,99) = 0.01; STATES(:,27) = 0.001914; STATES(:,28) = 0.2854569; CONSTANTS(:,100) = 1.5; CONSTANTS(:,101) = 4; CONSTANTS(:,102) = 12; CONSTANTS(:,103) = 74; CONSTANTS(:,104) = 0.49; CONSTANTS(:,105) = 0.1; CONSTANTS(:,106) = 0.003; CONSTANTS(:,107) = 0.4; CONSTANTS(:,108) = 0.03; CONSTANTS(:,109) = 10; CONSTANTS(:,110) = 0.03; CONSTANTS(:,111) = 70000; CONSTANTS(:,112) = 200; STATES(:,29) = 0; CONSTANTS(:,113) = 0.08; CONSTANTS(:,114) = 100000; CONSTANTS(:,115) = 182; STATES(:,30) = 0; CONSTANTS(:,116) = 0.1; CONSTANTS(:,117) = 1000; CONSTANTS(:,118) = 3; CONSTANTS(:,119) = 2.9e-4; CONSTANTS(:,120) = 2e-4; CONSTANTS(:,121) = 1e-5; CONSTANTS(:,122) = 0; CONSTANTS(:,123) = 0; STATES(:,31) = -20; CONSTANTS(:,124) = CONSTANTS(:,26).*CONSTANTS(:,14); CONSTANTS(:,125) = CONSTANTS(:,14)./10.0000; CONSTANTS(:,126) = ( CONSTANTS(:,15).*(0.400000+ 0.400000.*CONSTANTS(:,15)))./( CONSTANTS(:,14).*power( (CONSTANTS(:,15)+1.00000).*0.400000, 2.00000)); CONSTANTS(:,127) = ( 0.400000.*CONSTANTS(:,15)+1.00000)./( CONSTANTS(:,15).*CONSTANTS(:,14)); CONSTANTS(:,128) = ( 3.14159.*power(CONSTANTS(:,102)./1000.00, 2.00000).*CONSTANTS(:,103))./1000.00; CONSTANTS(:,129) = ( CONSTANTS(:,85).*CONSTANTS(:,86))./CONSTANTS(:,87); CONSTANTS(:,130) = CONSTANTS(:,94)./CONSTANTS(:,93); CONSTANTS(:,131) = ( CONSTANTS(:,15).*CONSTANTS(:,16).*power(CONSTANTS(:,125)./CONSTANTS(:,14), 2.00000))./( 3.00000.*CONSTANTS(:,15).*CONSTANTS(:,16) - ( (CONSTANTS(:,15)+1.00000).*CONSTANTS(:,125))./CONSTANTS(:,14)); CONSTANTS(:,132) = CONSTANTS(:,128).*CONSTANTS(:,104); CONSTANTS(:,133) = CONSTANTS(:,128).*CONSTANTS(:,107); 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(:,21) = 1.00000 - 1.00000.*(STATES(:,12)./(CONSTANTS(:,67)+STATES(:,12))+STATES(:,21)); RATES(:,22) = CONSTANTS(:,69).*(1.00000 - (STATES(:,18)./(CONSTANTS(:,68)+STATES(:,18))+STATES(:,22))); RATES(:,24) = 333.000.*(1.00000./(1.00000+exp( - (STATES(:,8)+4.00000)./5.00000)) - STATES(:,24)); ALGEBRAIC(:,4) = STATES(:,1); RATES(:,4) = ALGEBRAIC(:,4); ALGEBRAIC(:,5) = 50.0000./(1.00000+exp( - (STATES(:,8) - 5.00000)./9.00000)); ALGEBRAIC(:,17) = 0.0500000.*exp( - (STATES(:,8) - 20.0000)./15.0000); RATES(:,13) = ALGEBRAIC(:,5).*(1.00000 - STATES(:,13)) - ALGEBRAIC(:,17).*STATES(:,13); ALGEBRAIC(:,6) = 50.0000./(1.00000+exp( - (STATES(:,8) - 5.00000)./9.00000)); ALGEBRAIC(:,18) = 0.400000.*exp( - power((STATES(:,8)+30.0000)./30.0000, 3.00000)); RATES(:,14) = ALGEBRAIC(:,6).*(1.00000 - STATES(:,14)) - ALGEBRAIC(:,18).*STATES(:,14); ALGEBRAIC(:,7) = 14.0000./(1.00000+exp( - (STATES(:,8) - 40.0000)./9.00000)); ALGEBRAIC(:,19) = 1.00000.*exp( - STATES(:,8)./45.0000); RATES(:,15) = ALGEBRAIC(:,7).*(1.00000 - STATES(:,15)) - ALGEBRAIC(:,19).*STATES(:,15); ALGEBRAIC(:,9) = 20.0000.*exp( - 0.125000.*(STATES(:,8)+75.0000)); ALGEBRAIC(:,21) = 2000.00./(1.00000+ 320.000.*exp( - 0.100000.*(STATES(:,8)+75.0000))); RATES(:,17) = ALGEBRAIC(:,9).*(1.00000 - STATES(:,17)) - ALGEBRAIC(:,21).*STATES(:,17); ALGEBRAIC(:,12) = 0.0330000.*exp( - STATES(:,8)./17.0000); ALGEBRAIC(:,24) = 33.0000./(1.00000+exp( - 0.125000.*(STATES(:,8)+10.0000))); RATES(:,23) = ALGEBRAIC(:,12).*(1.00000 - STATES(:,23)) - ALGEBRAIC(:,24).*STATES(:,23); ALGEBRAIC(:,15) = CONSTANTS(:,120).*(STATES(:,31)+20.0000)+ CONSTANTS(:,122).*(STATES(:,31) - CONSTANTS(:,123)); ALGEBRAIC(:,26) = - CONSTANTS(:,119).*(STATES(:,8) - STATES(:,31)); RATES(:,31) = - (ALGEBRAIC(:,15)+ALGEBRAIC(:,26))./CONSTANTS(:,121); ALGEBRAIC(:,8) = STATES(:,8)+41.0000; ALGEBRAIC(:,20) = piecewise({abs(ALGEBRAIC(:,8))CONSTANTS(:,18)&ALGEBRAIC(:,38)<= CONSTANTS(:,19).*(1.00000+0.000100000), 1.00000 }, 0.00000); ALGEBRAIC(:,48) = piecewise({ALGEBRAIC(:,41)==1.00000, ( CONSTANTS(:,2).*CONSTANTS(:,3).*exp( CONSTANTS(:,2).*(STATES(:,5) - STATES(:,4))).*STATES(:,1))./( CONSTANTS(:,2).*CONSTANTS(:,3).*exp( CONSTANTS(:,2).*(STATES(:,5) - STATES(:,4)))+ CONSTANTS(:,4).*CONSTANTS(:,5).*exp( CONSTANTS(:,4).*STATES(:,5))) }, ( CONSTANTS(:,2).*CONSTANTS(:,3).*exp( CONSTANTS(:,2).*(STATES(:,5) - STATES(:,4))).*STATES(:,1))./( CONSTANTS(:,2).*CONSTANTS(:,3).*exp( CONSTANTS(:,2).*(STATES(:,5) - STATES(:,4)))+ CONSTANTS(:,4).*CONSTANTS(:,5).*exp( CONSTANTS(:,4).*STATES(:,5))+ CONSTANTS(:,6).*CONSTANTS(:,7).*exp( CONSTANTS(:,6).*STATES(:,6)))); ALGEBRAIC(:,55) = piecewise({ALGEBRAIC(:,52)==0.00000, ALGEBRAIC(:,48) }, STATES(:,3)); RATES(:,5) = ALGEBRAIC(:,55); ALGEBRAIC(:,56) = piecewise({ALGEBRAIC(:,41)==1.00000, 0.00000 , ALGEBRAIC(:,41)==0.00000&ALGEBRAIC(:,52)==0.00000, - ALGEBRAIC(:,48) , ALGEBRAIC(:,41)==0.00000&ALGEBRAIC(:,52) ~= 0.00000, - STATES(:,3) }, NaN); RATES(:,6) = piecewise({VOI>=CONSTANTS(:,34)&VOI<=CONSTANTS(:,35)&(VOI - CONSTANTS(:,34)) - floor((VOI - CONSTANTS(:,34))./CONSTANTS(:,20)).*CONSTANTS(:,20)<=CONSTANTS(:,36), - ((STATES(:,5)+STATES(:,6)) - CONSTANTS(:,19))./CONSTANTS(:,36) }, ALGEBRAIC(:,56)); ALGEBRAIC(:,32) = ( power(STATES(:,7)./CONSTANTS(:,31), CONSTANTS(:,9)).*(1.00000+power(CONSTANTS(:,10), CONSTANTS(:,9))))./(power(STATES(:,7)./CONSTANTS(:,31), CONSTANTS(:,9))+power(CONSTANTS(:,10), CONSTANTS(:,9))); ALGEBRAIC(:,34) = piecewise({ CONSTANTS(:,32).*STATES(:,4)+CONSTANTS(:,33)<0.00000, 0.00000 , CONSTANTS(:,32).*STATES(:,4)+CONSTANTS(:,33)<1.00000, CONSTANTS(:,32).*STATES(:,4)+CONSTANTS(:,33) }, 1.00000); ALGEBRAIC(:,36) = piecewise({STATES(:,4)>0.550000, (STATES(:,4)+CONSTANTS(:,21))./(0.460000+CONSTANTS(:,21)) }, (CONSTANTS(:,21)+0.550000).*1.00000); ALGEBRAIC(:,3) = piecewise({STATES(:,1)<=0.00000, CONSTANTS(:,22) - ( CONSTANTS(:,23).*STATES(:,1))./CONSTANTS(:,14) , STATES(:,1)<=CONSTANTS(:,124)&0.00000=CONSTANTS(:,34)&VOI<=CONSTANTS(:,35)&(VOI - CONSTANTS(:,34)) - floor((VOI - CONSTANTS(:,34))./CONSTANTS(:,20)).*CONSTANTS(:,20)<=CONSTANTS(:,36), CONSTANTS(:,37) }, 0.00000); RATES(:,8) = ( - 1.00000./CONSTANTS(:,49)).*(ALGEBRAIC(:,40)+ALGEBRAIC(:,53)+ALGEBRAIC(:,80)+ALGEBRAIC(:,57)+ALGEBRAIC(:,59)+ALGEBRAIC(:,81)+ALGEBRAIC(:,61)+ALGEBRAIC(:,65)+ALGEBRAIC(:,63)+ALGEBRAIC(:,71)+ALGEBRAIC(:,77)+ALGEBRAIC(:,82)+ALGEBRAIC(:,83)+ALGEBRAIC(:,67)+ALGEBRAIC(:,74)+ALGEBRAIC(:,69)+ALGEBRAIC(:,76)+ALGEBRAIC(:,79)); RATES(:,18) = ( - 1.00000.*ALGEBRAIC(:,74)+( 2.00000.*ALGEBRAIC(:,83))./(CONSTANTS(:,81) - 2.00000))./( 2.00000.*1.00000.*CONSTANTS(:,105).*CONSTANTS(:,132).*CONSTANTS(:,48)) - STATES(:,18).*CONSTANTS(:,109); ALGEBRAIC(:,85) = ALGEBRAIC(:,82)+ALGEBRAIC(:,83); RATES(:,11) = ( - 1.00000./( 1.00000.*CONSTANTS(:,132).*CONSTANTS(:,48))).*(ALGEBRAIC(:,61)+ALGEBRAIC(:,63)+ALGEBRAIC(:,65)+ALGEBRAIC(:,71)+ALGEBRAIC(:,77)+ (CONSTANTS(:,100)./(CONSTANTS(:,100) - 1.00000)).*ALGEBRAIC(:,81)+ (CONSTANTS(:,81)./(CONSTANTS(:,81) - 2.00000)).*ALGEBRAIC(:,85)); ALGEBRAIC(:,84) = STATES(:,12)+ STATES(:,25).*CONSTANTS(:,129)+ CONSTANTS(:,85).*CONSTANTS(:,86)+CONSTANTS(:,85); ALGEBRAIC(:,86) = piecewise({CONSTANTS(:,90)==0.00000, (STATES(:,12)./ALGEBRAIC(:,84)).*CONSTANTS(:,88) - (( STATES(:,25).*CONSTANTS(:,129))./ALGEBRAIC(:,84)).*CONSTANTS(:,89) }, ( (STATES(:,12)./ALGEBRAIC(:,84)).*CONSTANTS(:,88))./(1.00000+STATES(:,25)./CONSTANTS(:,91)) - (( STATES(:,25).*CONSTANTS(:,129))./ALGEBRAIC(:,84)).*CONSTANTS(:,89)); ALGEBRAIC(:,87) = CONSTANTS(:,92).*(STATES(:,25) - STATES(:,26)); RATES(:,25) = (CONSTANTS(:,104)./CONSTANTS(:,108)).*ALGEBRAIC(:,86) - ALGEBRAIC(:,87); ALGEBRAIC(:,88) = ( power(STATES(:,27)./(STATES(:,27)+0.250000), 2.00000).*CONSTANTS(:,97)+CONSTANTS(:,96)).*STATES(:,26); RATES(:,26) = ( (CONSTANTS(:,108)./CONSTANTS(:,106)).*ALGEBRAIC(:,87) - ALGEBRAIC(:,88))./(1.00000+( CONSTANTS(:,130).*CONSTANTS(:,95))./power(STATES(:,26)+CONSTANTS(:,130), 2.00000)); ALGEBRAIC(:,89) = ( CONSTANTS(:,31).*STATES(:,2))./( ALGEBRAIC(:,36).*STATES(:,7)); ALGEBRAIC(:,90) = piecewise({ALGEBRAIC(:,89)<=0.00000, CONSTANTS(:,110) , ALGEBRAIC(:,89)<=1.00000, power(CONSTANTS(:,110), ALGEBRAIC(:,89)) }, 1.00000); RATES(:,7) = CONSTANTS(:,111).*(CONSTANTS(:,31) - STATES(:,7)).*STATES(:,12) - CONSTANTS(:,112).*exp( - CONSTANTS(:,28).*STATES(:,7)).*ALGEBRAIC(:,90).*STATES(:,7); RATES(:,29) = CONSTANTS(:,114).*(CONSTANTS(:,113) - STATES(:,29)).*STATES(:,12) - CONSTANTS(:,115).*STATES(:,29); RATES(:,30) = CONSTANTS(:,117).*(CONSTANTS(:,116) - STATES(:,30)).*STATES(:,12) - CONSTANTS(:,118).*STATES(:,30); RATES(:,12) = (((( ( - 1.00000./( 2.00000.*1.00000.*CONSTANTS(:,132).*CONSTANTS(:,48))).*((ALGEBRAIC(:,67)+ALGEBRAIC(:,79)) - (2.00000./(CONSTANTS(:,81) - 2.00000)).*ALGEBRAIC(:,82))+ STATES(:,18).*CONSTANTS(:,105).*CONSTANTS(:,109)+( ALGEBRAIC(:,88).*CONSTANTS(:,106))./CONSTANTS(:,104)) - RATES(:,7)) - RATES(:,29)) - RATES(:,30)) - ALGEBRAIC(:,86); 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(:,4) = STATES(:,1); ALGEBRAIC(:,5) = 50.0000./(1.00000+exp( - (STATES(:,8) - 5.00000)./9.00000)); ALGEBRAIC(:,17) = 0.0500000.*exp( - (STATES(:,8) - 20.0000)./15.0000); ALGEBRAIC(:,6) = 50.0000./(1.00000+exp( - (STATES(:,8) - 5.00000)./9.00000)); ALGEBRAIC(:,18) = 0.400000.*exp( - power((STATES(:,8)+30.0000)./30.0000, 3.00000)); ALGEBRAIC(:,7) = 14.0000./(1.00000+exp( - (STATES(:,8) - 40.0000)./9.00000)); ALGEBRAIC(:,19) = 1.00000.*exp( - STATES(:,8)./45.0000); ALGEBRAIC(:,9) = 20.0000.*exp( - 0.125000.*(STATES(:,8)+75.0000)); ALGEBRAIC(:,21) = 2000.00./(1.00000+ 320.000.*exp( - 0.100000.*(STATES(:,8)+75.0000))); ALGEBRAIC(:,12) = 0.0330000.*exp( - STATES(:,8)./17.0000); ALGEBRAIC(:,24) = 33.0000./(1.00000+exp( - 0.125000.*(STATES(:,8)+10.0000))); ALGEBRAIC(:,15) = CONSTANTS(:,120).*(STATES(:,31)+20.0000)+ CONSTANTS(:,122).*(STATES(:,31) - CONSTANTS(:,123)); ALGEBRAIC(:,26) = - CONSTANTS(:,119).*(STATES(:,8) - STATES(:,31)); ALGEBRAIC(:,8) = STATES(:,8)+41.0000; ALGEBRAIC(:,20) = piecewise({abs(ALGEBRAIC(:,8))CONSTANTS(:,18)&ALGEBRAIC(:,38)<= CONSTANTS(:,19).*(1.00000+0.000100000), 1.00000 }, 0.00000); ALGEBRAIC(:,48) = piecewise({ALGEBRAIC(:,41)==1.00000, ( CONSTANTS(:,2).*CONSTANTS(:,3).*exp( CONSTANTS(:,2).*(STATES(:,5) - STATES(:,4))).*STATES(:,1))./( CONSTANTS(:,2).*CONSTANTS(:,3).*exp( CONSTANTS(:,2).*(STATES(:,5) - STATES(:,4)))+ CONSTANTS(:,4).*CONSTANTS(:,5).*exp( CONSTANTS(:,4).*STATES(:,5))) }, ( CONSTANTS(:,2).*CONSTANTS(:,3).*exp( CONSTANTS(:,2).*(STATES(:,5) - STATES(:,4))).*STATES(:,1))./( CONSTANTS(:,2).*CONSTANTS(:,3).*exp( CONSTANTS(:,2).*(STATES(:,5) - STATES(:,4)))+ CONSTANTS(:,4).*CONSTANTS(:,5).*exp( CONSTANTS(:,4).*STATES(:,5))+ CONSTANTS(:,6).*CONSTANTS(:,7).*exp( CONSTANTS(:,6).*STATES(:,6)))); ALGEBRAIC(:,55) = piecewise({ALGEBRAIC(:,52)==0.00000, ALGEBRAIC(:,48) }, STATES(:,3)); ALGEBRAIC(:,56) = piecewise({ALGEBRAIC(:,41)==1.00000, 0.00000 , ALGEBRAIC(:,41)==0.00000&ALGEBRAIC(:,52)==0.00000, - ALGEBRAIC(:,48) , ALGEBRAIC(:,41)==0.00000&ALGEBRAIC(:,52) ~= 0.00000, - STATES(:,3) }, NaN); ALGEBRAIC(:,32) = ( power(STATES(:,7)./CONSTANTS(:,31), CONSTANTS(:,9)).*(1.00000+power(CONSTANTS(:,10), CONSTANTS(:,9))))./(power(STATES(:,7)./CONSTANTS(:,31), CONSTANTS(:,9))+power(CONSTANTS(:,10), CONSTANTS(:,9))); ALGEBRAIC(:,34) = piecewise({ CONSTANTS(:,32).*STATES(:,4)+CONSTANTS(:,33)<0.00000, 0.00000 , CONSTANTS(:,32).*STATES(:,4)+CONSTANTS(:,33)<1.00000, CONSTANTS(:,32).*STATES(:,4)+CONSTANTS(:,33) }, 1.00000); ALGEBRAIC(:,36) = piecewise({STATES(:,4)>0.550000, (STATES(:,4)+CONSTANTS(:,21))./(0.460000+CONSTANTS(:,21)) }, (CONSTANTS(:,21)+0.550000).*1.00000); ALGEBRAIC(:,3) = piecewise({STATES(:,1)<=0.00000, CONSTANTS(:,22) - ( CONSTANTS(:,23).*STATES(:,1))./CONSTANTS(:,14) , STATES(:,1)<=CONSTANTS(:,124)&0.00000=CONSTANTS(:,34)&VOI<=CONSTANTS(:,35)&(VOI - CONSTANTS(:,34)) - floor((VOI - CONSTANTS(:,34))./CONSTANTS(:,20)).*CONSTANTS(:,20)<=CONSTANTS(:,36), CONSTANTS(:,37) }, 0.00000); ALGEBRAIC(:,85) = ALGEBRAIC(:,82)+ALGEBRAIC(:,83); ALGEBRAIC(:,84) = STATES(:,12)+ STATES(:,25).*CONSTANTS(:,129)+ CONSTANTS(:,85).*CONSTANTS(:,86)+CONSTANTS(:,85); ALGEBRAIC(:,86) = piecewise({CONSTANTS(:,90)==0.00000, (STATES(:,12)./ALGEBRAIC(:,84)).*CONSTANTS(:,88) - (( STATES(:,25).*CONSTANTS(:,129))./ALGEBRAIC(:,84)).*CONSTANTS(:,89) }, ( (STATES(:,12)./ALGEBRAIC(:,84)).*CONSTANTS(:,88))./(1.00000+STATES(:,25)./CONSTANTS(:,91)) - (( STATES(:,25).*CONSTANTS(:,129))./ALGEBRAIC(:,84)).*CONSTANTS(:,89)); ALGEBRAIC(:,87) = CONSTANTS(:,92).*(STATES(:,25) - STATES(:,26)); ALGEBRAIC(:,88) = ( power(STATES(:,27)./(STATES(:,27)+0.250000), 2.00000).*CONSTANTS(:,97)+CONSTANTS(:,96)).*STATES(:,26); ALGEBRAIC(:,89) = ( CONSTANTS(:,31).*STATES(:,2))./( ALGEBRAIC(:,36).*STATES(:,7)); ALGEBRAIC(:,90) = piecewise({ALGEBRAIC(:,89)<=0.00000, CONSTANTS(:,110) , ALGEBRAIC(:,89)<=1.00000, power(CONSTANTS(:,110), ALGEBRAIC(:,89)) }, 1.00000); ALGEBRAIC(:,1) = CONSTANTS(:,3).*(exp( CONSTANTS(:,2).*(STATES(:,5) - STATES(:,4))) - 1.00000); ALGEBRAIC(:,2) = CONSTANTS(:,5).*(exp( CONSTANTS(:,4).*STATES(:,5)) - 1.00000); ALGEBRAIC(:,13) = exp( 0.0800000.*(STATES(:,8) - 40.0000)); ALGEBRAIC(:,46) = (( CONSTANTS(:,58).*STATES(:,11))./(STATES(:,11)+CONSTANTS(:,59))).*(STATES(:,8) - ALGEBRAIC(:,44)); ALGEBRAIC(:,72) = CONSTANTS(:,8).*ALGEBRAIC(:,70).*STATES(:,2); ALGEBRAIC(:,78) = ALGEBRAIC(:,67)+ALGEBRAIC(:,69)+ALGEBRAIC(:,71)+ALGEBRAIC(:,74)+ALGEBRAIC(:,76)+ALGEBRAIC(:,77); 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