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 =101; end % There are a total of 33 entries in each of the rate and state variable arrays. % There are a total of 116 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('R in component Membrane (joule_per_kilomole_kelvin)'); LEGEND_CONSTANTS(:,2) = strpad('T in component Membrane (kelvin)'); LEGEND_CONSTANTS(:,3) = strpad('F in component Membrane (coulomb_per_mole)'); LEGEND_CONSTANTS(:,4) = strpad('C in component Membrane (microF)'); LEGEND_CONSTANTS(:,92) = strpad('RTONF in component Membrane (millivolt)'); LEGEND_ALGEBRAIC(:,60) = strpad('i_f in component i_f (nanoA)'); LEGEND_ALGEBRAIC(:,62) = strpad('i_NaK in component i_NaK (nanoA)'); LEGEND_ALGEBRAIC(:,76) = strpad('i_NaCa in component i_NaCa (nanoA)'); LEGEND_ALGEBRAIC(:,80) = strpad('i_Na in component i_Na (nanoA)'); LEGEND_ALGEBRAIC(:,90) = strpad('i_Kr in component i_Kr (nanoA)'); LEGEND_ALGEBRAIC(:,96) = strpad('i_Ks in component i_Ks (nanoA)'); LEGEND_ALGEBRAIC(:,88) = strpad('i_to in component i_to (nanoA)'); LEGEND_ALGEBRAIC(:,84) = strpad('i_CaL in component i_CaL (nanoA)'); LEGEND_ALGEBRAIC(:,85) = strpad('i_CaT in component i_CaT (nanoA)'); LEGEND_ALGEBRAIC(:,99) = strpad('i_KACh in component i_KACh (nanoA)'); LEGEND_ALGEBRAIC(:,86) = strpad('i_Kur in component i_Kur (nanoA)'); LEGEND_ALGEBRAIC(:,10) = strpad('V in component Membrane (millivolt)'); LEGEND_CONSTANTS(:,5) = strpad('clamp_mode in component Membrane (dimensionless)'); LEGEND_ALGEBRAIC(:,6) = strpad('V_clamp in component Voltage_clamp (millivolt)'); LEGEND_STATES(:,1) = strpad('V_ode in component Membrane (millivolt)'); LEGEND_ALGEBRAIC(:,101) = strpad('i_tot in component Membrane (nanoA)'); LEGEND_CONSTANTS(:,6) = strpad('t_holding in component Voltage_clamp (second)'); LEGEND_CONSTANTS(:,7) = strpad('t_test in component Voltage_clamp (second)'); LEGEND_CONSTANTS(:,8) = strpad('V_test in component Voltage_clamp (millivolt)'); LEGEND_CONSTANTS(:,9) = strpad('V_holding in component Voltage_clamp (millivolt)'); LEGEND_CONSTANTS(:,10) = strpad('ACh in component Rate_modulation_experiments (millimolar)'); LEGEND_CONSTANTS(:,11) = strpad('Iso_1_uM in component Rate_modulation_experiments (dimensionless)'); LEGEND_ALGEBRAIC(:,19) = strpad('Nai in component Nai_concentration (millimolar)'); LEGEND_CONSTANTS(:,12) = strpad('Nao in component Ionic_values (millimolar)'); LEGEND_CONSTANTS(:,13) = strpad('Ki in component Ionic_values (millimolar)'); LEGEND_CONSTANTS(:,14) = strpad('Ko in component Ionic_values (millimolar)'); LEGEND_STATES(:,2) = strpad('Ca_sub in component Ca_dynamics (millimolar)'); LEGEND_CONSTANTS(:,15) = strpad('Cao in component Ionic_values (millimolar)'); LEGEND_ALGEBRAIC(:,37) = strpad('E_Na in component Ionic_values (millivolt)'); LEGEND_CONSTANTS(:,97) = strpad('E_K in component Ionic_values (millivolt)'); LEGEND_ALGEBRAIC(:,1) = strpad('E_Ca in component Ionic_values (millivolt)'); LEGEND_CONSTANTS(:,111) = strpad('V_sub in component Cell_parameters (millimetre3)'); LEGEND_CONSTANTS(:,113) = strpad('V_i in component Cell_parameters (millimetre3)'); LEGEND_ALGEBRAIC(:,50) = strpad('i_fNa in component i_f (nanoA)'); LEGEND_ALGEBRAIC(:,83) = strpad('i_siNa in component i_CaL (nanoA)'); LEGEND_STATES(:,3) = strpad('Nai_ in component Nai_concentration (millimolar)'); LEGEND_CONSTANTS(:,16) = strpad('Nai_clamp in component Nai_concentration (dimensionless)'); LEGEND_ALGEBRAIC(:,56) = strpad('i_fK in component i_f (nanoA)'); LEGEND_CONSTANTS(:,17) = strpad('g_f in component i_f (microS)'); LEGEND_CONSTANTS(:,93) = strpad('G_f in component i_f (microS)'); LEGEND_CONSTANTS(:,104) = strpad('g_f_Na in component i_f (microS)'); LEGEND_CONSTANTS(:,101) = strpad('G_f_Na in component i_f (microS)'); LEGEND_CONSTANTS(:,102) = strpad('g_f_K in component i_f (microS)'); LEGEND_CONSTANTS(:,98) = strpad('G_f_K in component i_f (microS)'); LEGEND_CONSTANTS(:,18) = strpad('Km_f in component i_f (millimolar)'); LEGEND_CONSTANTS(:,19) = strpad('alpha in component i_f (dimensionless)'); LEGEND_STATES(:,4) = strpad('y in component i_f_y_gate (dimensionless)'); LEGEND_CONSTANTS(:,20) = strpad('blockade in component i_f (dimensionless)'); LEGEND_ALGEBRAIC(:,11) = strpad('tau_y in component i_f_y_gate (second)'); LEGEND_ALGEBRAIC(:,30) = strpad('y_infinity in component i_f_y_gate (dimensionless)'); LEGEND_CONSTANTS(:,96) = strpad('ACh_shift in component i_f_y_gate (millivolt)'); LEGEND_CONSTANTS(:,100) = strpad('Iso_shift in component i_f_y_gate (millivolt)'); LEGEND_CONSTANTS(:,21) = strpad('y_shift in component i_f_y_gate (millivolt)'); LEGEND_CONSTANTS(:,22) = strpad('Km_Kp in component i_NaK (millimolar)'); LEGEND_CONSTANTS(:,23) = strpad('Km_Nap in component i_NaK (millimolar)'); LEGEND_CONSTANTS(:,24) = strpad('i_NaK_max in component i_NaK (nanoA)'); LEGEND_CONSTANTS(:,103) = strpad('Iso_increase in component i_NaK (dimensionless)'); LEGEND_CONSTANTS(:,25) = strpad('K_NaCa in component i_NaCa (nanoA)'); LEGEND_ALGEBRAIC(:,73) = strpad('x1 in component i_NaCa (dimensionless)'); LEGEND_ALGEBRAIC(:,69) = strpad('x2 in component i_NaCa (dimensionless)'); LEGEND_ALGEBRAIC(:,74) = strpad('x3 in component i_NaCa (dimensionless)'); LEGEND_ALGEBRAIC(:,75) = strpad('x4 in component i_NaCa (dimensionless)'); LEGEND_ALGEBRAIC(:,64) = strpad('k41 in component i_NaCa (dimensionless)'); LEGEND_CONSTANTS(:,105) = strpad('k34 in component i_NaCa (dimensionless)'); LEGEND_ALGEBRAIC(:,72) = strpad('k23 in component i_NaCa (dimensionless)'); LEGEND_ALGEBRAIC(:,71) = strpad('k21 in component i_NaCa (dimensionless)'); LEGEND_ALGEBRAIC(:,68) = strpad('k32 in component i_NaCa (dimensionless)'); LEGEND_ALGEBRAIC(:,63) = strpad('k43 in component i_NaCa (dimensionless)'); LEGEND_ALGEBRAIC(:,66) = strpad('k12 in component i_NaCa (dimensionless)'); LEGEND_ALGEBRAIC(:,67) = strpad('k14 in component i_NaCa (dimensionless)'); LEGEND_CONSTANTS(:,26) = strpad('Qci in component i_NaCa (dimensionless)'); LEGEND_CONSTANTS(:,27) = strpad('Qn in component i_NaCa (dimensionless)'); LEGEND_CONSTANTS(:,28) = strpad('Qco in component i_NaCa (dimensionless)'); LEGEND_CONSTANTS(:,29) = strpad('K3ni in component i_NaCa (millimolar)'); LEGEND_CONSTANTS(:,30) = strpad('Kci in component i_NaCa (millimolar)'); LEGEND_CONSTANTS(:,31) = strpad('K1ni in component i_NaCa (millimolar)'); LEGEND_CONSTANTS(:,32) = strpad('K2ni in component i_NaCa (millimolar)'); LEGEND_CONSTANTS(:,33) = strpad('Kcni in component i_NaCa (millimolar)'); LEGEND_CONSTANTS(:,34) = strpad('K3no in component i_NaCa (millimolar)'); LEGEND_CONSTANTS(:,35) = strpad('K1no in component i_NaCa (millimolar)'); LEGEND_CONSTANTS(:,36) = strpad('K2no in component i_NaCa (millimolar)'); LEGEND_CONSTANTS(:,37) = strpad('Kco in component i_NaCa (millimolar)'); LEGEND_ALGEBRAIC(:,70) = strpad('do in component i_NaCa (dimensionless)'); LEGEND_ALGEBRAIC(:,65) = strpad('di in component i_NaCa (dimensionless)'); LEGEND_CONSTANTS(:,38) = strpad('blockade_NaCa in component i_NaCa (dimensionless)'); LEGEND_ALGEBRAIC(:,78) = strpad('i_Na_ in component i_Na (nanoA)'); LEGEND_ALGEBRAIC(:,79) = strpad('i_Na_L in component i_Na (nanoA)'); LEGEND_CONSTANTS(:,39) = strpad('g_Na in component i_Na (microS)'); LEGEND_CONSTANTS(:,40) = strpad('g_Na_L in component i_Na (microS)'); LEGEND_ALGEBRAIC(:,77) = strpad('E_mh in component i_Na (millivolt)'); LEGEND_STATES(:,5) = strpad('m in component i_Na_m_gate (dimensionless)'); LEGEND_STATES(:,6) = strpad('h in component i_Na_h_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,47) = strpad('alpha_m in component i_Na_m_gate (per_second)'); LEGEND_ALGEBRAIC(:,53) = strpad('beta_m in component i_Na_m_gate (per_second)'); LEGEND_ALGEBRAIC(:,12) = strpad('m_infinity in component i_Na_m_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,58) = strpad('tau_m in component i_Na_m_gate (second)'); LEGEND_CONSTANTS(:,41) = strpad('delta_m in component i_Na_m_gate (millivolt)'); LEGEND_ALGEBRAIC(:,31) = strpad('E0_m in component i_Na_m_gate (millivolt)'); LEGEND_ALGEBRAIC(:,32) = strpad('alpha_h in component i_Na_h_gate (per_second)'); LEGEND_ALGEBRAIC(:,48) = strpad('beta_h in component i_Na_h_gate (per_second)'); LEGEND_ALGEBRAIC(:,13) = strpad('h_infinity in component i_Na_h_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,54) = strpad('tau_h in component i_Na_h_gate (second)'); LEGEND_ALGEBRAIC(:,81) = strpad('i_siCa in component i_CaL (nanoA)'); LEGEND_ALGEBRAIC(:,82) = strpad('i_siK in component i_CaL (nanoA)'); LEGEND_CONSTANTS(:,107) = strpad('ACh_block in component i_CaL (dimensionless)'); LEGEND_CONSTANTS(:,42) = strpad('P_CaL in component i_CaL (nanoA_per_millimolar)'); LEGEND_STATES(:,7) = strpad('dL in component i_CaL_dL_gate (dimensionless)'); LEGEND_STATES(:,8) = strpad('fL in component i_CaL_fL_gate (dimensionless)'); LEGEND_STATES(:,9) = strpad('fCa in component i_CaL_fCa_gate (dimensionless)'); LEGEND_CONSTANTS(:,106) = strpad('Iso_increase in component i_CaL (dimensionless)'); LEGEND_ALGEBRAIC(:,14) = strpad('dL_infinity in component i_CaL_dL_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,61) = strpad('tau_dL in component i_CaL_dL_gate (second)'); LEGEND_ALGEBRAIC(:,49) = strpad('alpha_dL in component i_CaL_dL_gate (per_second)'); LEGEND_ALGEBRAIC(:,59) = strpad('beta_dL in component i_CaL_dL_gate (per_second)'); LEGEND_ALGEBRAIC(:,33) = strpad('adVm in component i_CaL_dL_gate (millivolt)'); LEGEND_ALGEBRAIC(:,55) = strpad('bdVm in component i_CaL_dL_gate (millivolt)'); LEGEND_CONSTANTS(:,43) = strpad('k_dL in component i_CaL_dL_gate (millivolt)'); LEGEND_CONSTANTS(:,44) = strpad('V_dL in component i_CaL_dL_gate (millivolt)'); LEGEND_CONSTANTS(:,108) = strpad('Iso_shift_dL in component i_CaL_dL_gate (millivolt)'); LEGEND_CONSTANTS(:,109) = strpad('Iso_slope_dL in component i_CaL_dL_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,15) = strpad('fL_infinity in component i_CaL_fL_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,34) = strpad('tau_fL in component i_CaL_fL_gate (second)'); LEGEND_CONSTANTS(:,45) = strpad('shift_fL in component i_CaL_fL_gate (millivolt)'); LEGEND_CONSTANTS(:,46) = strpad('k_fL in component i_CaL_fL_gate (millivolt)'); LEGEND_CONSTANTS(:,47) = strpad('alpha_fCa in component i_CaL_fCa_gate (per_second)'); LEGEND_ALGEBRAIC(:,2) = strpad('fCa_infinity in component i_CaL_fCa_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,8) = strpad('tau_fCa in component i_CaL_fCa_gate (second)'); LEGEND_CONSTANTS(:,48) = strpad('Km_fCa in component i_CaL_fCa_gate (millimolar)'); LEGEND_CONSTANTS(:,49) = strpad('P_CaT in component i_CaT (nanoA_per_millimolar)'); LEGEND_STATES(:,10) = strpad('dT in component i_CaT_dT_gate (dimensionless)'); LEGEND_STATES(:,11) = strpad('fT in component i_CaT_fT_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,16) = strpad('dT_infinity in component i_CaT_dT_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,35) = strpad('tau_dT in component i_CaT_dT_gate (second)'); LEGEND_ALGEBRAIC(:,17) = strpad('fT_infinity in component i_CaT_fT_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,36) = strpad('tau_fT in component i_CaT_fT_gate (second)'); LEGEND_CONSTANTS(:,50) = strpad('offset_fT in component i_CaT_fT_gate (second)'); LEGEND_ALGEBRAIC(:,87) = strpad('j_SRCarel in component Ca_SR_release (millimolar_per_second)'); LEGEND_STATES(:,12) = strpad('R in component Ca_SR_release (dimensionless)'); LEGEND_STATES(:,13) = strpad('O in component Ca_SR_release (dimensionless)'); LEGEND_STATES(:,14) = strpad('I in component Ca_SR_release (dimensionless)'); LEGEND_STATES(:,15) = strpad('RI in component Ca_SR_release (dimensionless)'); LEGEND_CONSTANTS(:,51) = strpad('ks in component Ca_SR_release (per_second)'); LEGEND_CONSTANTS(:,52) = strpad('MaxSR in component Ca_SR_release (dimensionless)'); LEGEND_CONSTANTS(:,53) = strpad('MinSR in component Ca_SR_release (dimensionless)'); LEGEND_CONSTANTS(:,54) = strpad('EC50_SR in component Ca_SR_release (millimolar)'); LEGEND_CONSTANTS(:,55) = strpad('HSR in component Ca_SR_release (dimensionless)'); LEGEND_ALGEBRAIC(:,9) = strpad('koSRCa in component Ca_SR_release (per_millimolar2_second)'); LEGEND_ALGEBRAIC(:,18) = strpad('kiSRCa in component Ca_SR_release (per_millimolar_second)'); LEGEND_CONSTANTS(:,56) = strpad('koCa in component Ca_SR_release (per_millimolar2_second)'); LEGEND_CONSTANTS(:,57) = strpad('kiCa in component Ca_SR_release (per_millimolar_second)'); LEGEND_ALGEBRAIC(:,3) = strpad('kCaSR in component Ca_SR_release (dimensionless)'); LEGEND_CONSTANTS(:,58) = strpad('kim in component Ca_SR_release (per_second)'); LEGEND_CONSTANTS(:,59) = strpad('kom in component Ca_SR_release (per_second)'); LEGEND_STATES(:,16) = strpad('Ca_jsr in component Ca_dynamics (millimolar)'); LEGEND_ALGEBRAIC(:,4) = strpad('diff in component Ca_SR_release (millimolar)'); LEGEND_ALGEBRAIC(:,5) = strpad('P_tot in component Ca_SR_release (dimensionless)'); LEGEND_ALGEBRAIC(:,89) = strpad('j_Ca_dif in component Ca_intracellular_fluxes (millimolar_per_second)'); LEGEND_ALGEBRAIC(:,92) = strpad('j_up in component Ca_intracellular_fluxes (millimolar_per_second)'); LEGEND_ALGEBRAIC(:,95) = strpad('j_tr in component Ca_intracellular_fluxes (millimolar_per_second)'); LEGEND_CONSTANTS(:,60) = strpad('tau_dif_Ca in component Ca_intracellular_fluxes (second)'); LEGEND_CONSTANTS(:,61) = strpad('tau_tr in component Ca_intracellular_fluxes (second)'); LEGEND_CONSTANTS(:,99) = strpad('P_up in component Ca_intracellular_fluxes (millimolar_per_second)'); LEGEND_CONSTANTS(:,62) = strpad('P_up_basal in component Ca_intracellular_fluxes (millimolar_per_second)'); LEGEND_CONSTANTS(:,94) = strpad('b_up in component Ca_intracellular_fluxes (dimensionless)'); LEGEND_CONSTANTS(:,63) = strpad('K_up in component Ca_intracellular_fluxes (millimolar)'); LEGEND_STATES(:,17) = strpad('Ca_nsr in component Ca_dynamics (millimolar)'); LEGEND_STATES(:,18) = strpad('Cai in component Ca_dynamics (millimolar)'); LEGEND_CONSTANTS(:,64) = strpad('slope_up in component Ca_intracellular_fluxes (millimolar)'); LEGEND_CONSTANTS(:,65) = strpad('TC_tot in component Ca_buffering (millimolar)'); LEGEND_CONSTANTS(:,66) = strpad('TMC_tot in component Ca_buffering (millimolar)'); LEGEND_CONSTANTS(:,67) = strpad('CM_tot in component Ca_buffering (millimolar)'); LEGEND_CONSTANTS(:,68) = strpad('CQ_tot in component Ca_buffering (millimolar)'); LEGEND_ALGEBRAIC(:,94) = strpad('delta_fTC in component Ca_buffering (per_second)'); LEGEND_ALGEBRAIC(:,97) = strpad('delta_fTMC in component Ca_buffering (per_second)'); LEGEND_ALGEBRAIC(:,91) = strpad('delta_fCMs in component Ca_buffering (per_second)'); LEGEND_ALGEBRAIC(:,100) = strpad('delta_fCMi in component Ca_buffering (per_second)'); LEGEND_ALGEBRAIC(:,98) = strpad('delta_fCQ in component Ca_buffering (per_second)'); LEGEND_ALGEBRAIC(:,7) = strpad('delta_fTMM in component Ca_buffering (per_second)'); LEGEND_STATES(:,19) = strpad('fTMM in component Ca_buffering (dimensionless)'); LEGEND_STATES(:,20) = strpad('fCMi in component Ca_buffering (dimensionless)'); LEGEND_STATES(:,21) = strpad('fCMs in component Ca_buffering (dimensionless)'); LEGEND_STATES(:,22) = strpad('fTC in component Ca_buffering (dimensionless)'); LEGEND_STATES(:,23) = strpad('fTMC in component Ca_buffering (dimensionless)'); LEGEND_STATES(:,24) = strpad('fCQ in component Ca_buffering (dimensionless)'); LEGEND_CONSTANTS(:,69) = strpad('kf_TC in component Ca_buffering (per_millimolar_second)'); LEGEND_CONSTANTS(:,70) = strpad('kf_TMM in component Ca_buffering (per_millimolar_second)'); LEGEND_CONSTANTS(:,71) = strpad('kf_TMC in component Ca_buffering (per_millimolar_second)'); LEGEND_CONSTANTS(:,72) = strpad('kf_CM in component Ca_buffering (per_millimolar_second)'); LEGEND_CONSTANTS(:,73) = strpad('kf_CQ in component Ca_buffering (per_millimolar_second)'); LEGEND_CONSTANTS(:,74) = strpad('kb_TC in component Ca_buffering (per_second)'); LEGEND_CONSTANTS(:,75) = strpad('kb_TMC in component Ca_buffering (per_second)'); LEGEND_CONSTANTS(:,76) = strpad('kb_TMM in component Ca_buffering (per_second)'); LEGEND_CONSTANTS(:,77) = strpad('kb_CM in component Ca_buffering (per_second)'); LEGEND_CONSTANTS(:,78) = strpad('kb_CQ in component Ca_buffering (per_second)'); LEGEND_CONSTANTS(:,79) = strpad('Mgi in component Ca_buffering (millimolar)'); LEGEND_CONSTANTS(:,112) = strpad('V_jsr in component Cell_parameters (millimetre3)'); LEGEND_CONSTANTS(:,114) = strpad('V_nsr in component Cell_parameters (millimetre3)'); LEGEND_CONSTANTS(:,110) = strpad('V_cell in component Cell_parameters (millimetre3)'); LEGEND_CONSTANTS(:,80) = strpad('V_jsr_part in component Cell_parameters (dimensionless)'); LEGEND_CONSTANTS(:,81) = strpad('V_i_part in component Cell_parameters (dimensionless)'); LEGEND_CONSTANTS(:,82) = strpad('V_nsr_part in component Cell_parameters (dimensionless)'); LEGEND_CONSTANTS(:,83) = strpad('R_cell in component Cell_parameters (micrometre)'); LEGEND_CONSTANTS(:,84) = strpad('L_cell in component Cell_parameters (micrometre)'); LEGEND_CONSTANTS(:,85) = strpad('L_sub in component Cell_parameters (micrometre)'); LEGEND_CONSTANTS(:,86) = strpad('g_Kur in component i_Kur (microS)'); LEGEND_STATES(:,25) = strpad('r_Kur in component i_Kur_rKur_gate (dimensionless)'); LEGEND_STATES(:,26) = strpad('s_Kur in component i_Kur_sKur_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,38) = strpad('tau_r_Kur in component i_Kur_rKur_gate (second)'); LEGEND_ALGEBRAIC(:,20) = strpad('r_Kur_infinity in component i_Kur_rKur_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,39) = strpad('tau_s_Kur in component i_Kur_sKur_gate (second)'); LEGEND_ALGEBRAIC(:,21) = strpad('s_Kur_infinity in component i_Kur_sKur_gate (dimensionless)'); LEGEND_CONSTANTS(:,87) = strpad('g_to in component i_to (microS)'); LEGEND_STATES(:,27) = strpad('q in component i_to_q_gate (dimensionless)'); LEGEND_STATES(:,28) = strpad('r in component i_to_r_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,22) = strpad('q_infinity in component i_to_q_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,40) = strpad('tau_q in component i_to_q_gate (second)'); LEGEND_ALGEBRAIC(:,23) = strpad('r_infinity in component i_to_r_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,41) = strpad('tau_r in component i_to_r_gate (second)'); LEGEND_CONSTANTS(:,88) = strpad('g_Kr in component i_Kr (microS)'); LEGEND_STATES(:,29) = strpad('paS in component i_Kr_pa_gate (dimensionless)'); LEGEND_STATES(:,30) = strpad('paF in component i_Kr_pa_gate (dimensionless)'); LEGEND_STATES(:,31) = strpad('piy in component i_Kr_pi_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,24) = strpad('pa_infinity in component i_Kr_pa_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,25) = strpad('alfapaF in component i_Kr_pa_gate (per_second)'); LEGEND_ALGEBRAIC(:,26) = strpad('betapaF in component i_Kr_pa_gate (per_second)'); LEGEND_ALGEBRAIC(:,42) = strpad('tau_paS in component i_Kr_pa_gate (second)'); LEGEND_ALGEBRAIC(:,43) = strpad('tau_paF in component i_Kr_pa_gate (second)'); LEGEND_ALGEBRAIC(:,44) = strpad('pi_infinity in component i_Kr_pi_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,27) = strpad('tau_pi in component i_Kr_pi_gate (second)'); LEGEND_CONSTANTS(:,95) = strpad('g_Ks in component i_Ks (microS)'); LEGEND_CONSTANTS(:,89) = strpad('g_Ks_ in component i_Ks (microS)'); LEGEND_ALGEBRAIC(:,93) = strpad('E_Ks in component i_Ks (millivolt)'); LEGEND_STATES(:,32) = strpad('n in component i_Ks_n_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,28) = strpad('n_infinity in component i_Ks_n_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,57) = strpad('tau_n in component i_Ks_n_gate (second)'); LEGEND_CONSTANTS(:,115) = strpad('Iso_shift in component i_Ks_n_gate (millivolt)'); LEGEND_ALGEBRAIC(:,45) = strpad('alpha_n in component i_Ks_n_gate (per_second)'); LEGEND_ALGEBRAIC(:,51) = strpad('beta_n in component i_Ks_n_gate (per_second)'); LEGEND_CONSTANTS(:,90) = strpad('g_KACh in component i_KACh (microS)'); LEGEND_STATES(:,33) = strpad('a in component i_KACh_a_gate (dimensionless)'); LEGEND_CONSTANTS(:,91) = strpad('ACh_on in component i_KACh (dimensionless)'); LEGEND_CONSTANTS(:,116) = strpad('alpha_a in component i_KACh_a_gate (per_second)'); LEGEND_ALGEBRAIC(:,29) = strpad('beta_a in component i_KACh_a_gate (per_second)'); LEGEND_ALGEBRAIC(:,46) = strpad('a_infinity in component i_KACh_a_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,52) = strpad('tau_a in component i_KACh_a_gate (second)'); LEGEND_RATES(:,1) = strpad('d/dt V_ode in component Membrane (millivolt)'); LEGEND_RATES(:,3) = strpad('d/dt Nai_ in component Nai_concentration (millimolar)'); LEGEND_RATES(:,4) = strpad('d/dt y in component i_f_y_gate (dimensionless)'); LEGEND_RATES(:,5) = strpad('d/dt m in component i_Na_m_gate (dimensionless)'); LEGEND_RATES(:,6) = strpad('d/dt h in component i_Na_h_gate (dimensionless)'); LEGEND_RATES(:,7) = strpad('d/dt dL in component i_CaL_dL_gate (dimensionless)'); LEGEND_RATES(:,8) = strpad('d/dt fL in component i_CaL_fL_gate (dimensionless)'); LEGEND_RATES(:,9) = strpad('d/dt fCa in component i_CaL_fCa_gate (dimensionless)'); LEGEND_RATES(:,10) = strpad('d/dt dT in component i_CaT_dT_gate (dimensionless)'); LEGEND_RATES(:,11) = strpad('d/dt fT in component i_CaT_fT_gate (dimensionless)'); LEGEND_RATES(:,12) = strpad('d/dt R in component Ca_SR_release (dimensionless)'); LEGEND_RATES(:,13) = strpad('d/dt O in component Ca_SR_release (dimensionless)'); LEGEND_RATES(:,14) = strpad('d/dt I in component Ca_SR_release (dimensionless)'); LEGEND_RATES(:,15) = strpad('d/dt RI in component Ca_SR_release (dimensionless)'); LEGEND_RATES(:,22) = strpad('d/dt fTC in component Ca_buffering (dimensionless)'); LEGEND_RATES(:,23) = strpad('d/dt fTMC in component Ca_buffering (dimensionless)'); LEGEND_RATES(:,19) = strpad('d/dt fTMM in component Ca_buffering (dimensionless)'); LEGEND_RATES(:,20) = strpad('d/dt fCMi in component Ca_buffering (dimensionless)'); LEGEND_RATES(:,21) = strpad('d/dt fCMs in component Ca_buffering (dimensionless)'); LEGEND_RATES(:,24) = strpad('d/dt fCQ in component Ca_buffering (dimensionless)'); LEGEND_RATES(:,18) = strpad('d/dt Cai in component Ca_dynamics (millimolar)'); LEGEND_RATES(:,2) = strpad('d/dt Ca_sub in component Ca_dynamics (millimolar)'); LEGEND_RATES(:,17) = strpad('d/dt Ca_nsr in component Ca_dynamics (millimolar)'); LEGEND_RATES(:,16) = strpad('d/dt Ca_jsr in component Ca_dynamics (millimolar)'); LEGEND_RATES(:,25) = strpad('d/dt r_Kur in component i_Kur_rKur_gate (dimensionless)'); LEGEND_RATES(:,26) = strpad('d/dt s_Kur in component i_Kur_sKur_gate (dimensionless)'); LEGEND_RATES(:,27) = strpad('d/dt q in component i_to_q_gate (dimensionless)'); LEGEND_RATES(:,28) = strpad('d/dt r in component i_to_r_gate (dimensionless)'); LEGEND_RATES(:,29) = strpad('d/dt paS in component i_Kr_pa_gate (dimensionless)'); LEGEND_RATES(:,30) = strpad('d/dt paF in component i_Kr_pa_gate (dimensionless)'); LEGEND_RATES(:,31) = strpad('d/dt piy in component i_Kr_pi_gate (dimensionless)'); LEGEND_RATES(:,32) = strpad('d/dt n in component i_Ks_n_gate (dimensionless)'); LEGEND_RATES(:,33) = strpad('d/dt a in component i_KACh_a_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 = []; CONSTANTS(:,1) = 8314.472; CONSTANTS(:,2) = 310; CONSTANTS(:,3) = 96485.3415; CONSTANTS(:,4) = 5.7e-5; CONSTANTS(:,5) = 0; STATES(:,1) = -47.787168; CONSTANTS(:,6) = 0.5; CONSTANTS(:,7) = 0.5; CONSTANTS(:,8) = -35; CONSTANTS(:,9) = -45; CONSTANTS(:,10) = 0; CONSTANTS(:,11) = 0; CONSTANTS(:,12) = 140; CONSTANTS(:,13) = 140; CONSTANTS(:,14) = 5.4; STATES(:,2) = 6.226104e-5; CONSTANTS(:,15) = 1.8; STATES(:,3) = 5; CONSTANTS(:,16) = 1; CONSTANTS(:,17) = 0.00427; CONSTANTS(:,18) = 45; CONSTANTS(:,19) = 0.5927; STATES(:,4) = 0.009508; CONSTANTS(:,20) = 0; CONSTANTS(:,21) = 0; CONSTANTS(:,22) = 1.4; CONSTANTS(:,23) = 14; CONSTANTS(:,24) = 0.08105; CONSTANTS(:,25) = 3.343; CONSTANTS(:,26) = 0.1369; CONSTANTS(:,27) = 0.4315; CONSTANTS(:,28) = 0; CONSTANTS(:,29) = 26.44; CONSTANTS(:,30) = 0.0207; CONSTANTS(:,31) = 395.3; CONSTANTS(:,32) = 2.289; CONSTANTS(:,33) = 26.44; CONSTANTS(:,34) = 4.663; CONSTANTS(:,35) = 1628; CONSTANTS(:,36) = 561.4; CONSTANTS(:,37) = 3.663; CONSTANTS(:,38) = 0; CONSTANTS(:,39) = 0.0223; CONSTANTS(:,40) = 0; STATES(:,5) = 0.447724; STATES(:,6) = 0.003058; CONSTANTS(:,41) = 1e-5; CONSTANTS(:,42) = 0.4578; STATES(:,7) = 0.001921; STATES(:,8) = 0.846702; STATES(:,9) = 0.844449; CONSTANTS(:,43) = 4.3371; CONSTANTS(:,44) = -16.4508; CONSTANTS(:,45) = 0; CONSTANTS(:,46) = 0; CONSTANTS(:,47) = 0.0075; CONSTANTS(:,48) = 0.000338; CONSTANTS(:,49) = 0.04132; STATES(:,10) = 0.268909; STATES(:,11) = 0.020484; CONSTANTS(:,50) = 0; STATES(:,12) = 0.9308; STATES(:,13) = 6.181512e-9; STATES(:,14) = 4.595622e-10; STATES(:,15) = 0.069199; CONSTANTS(:,51) = 148041085.1; CONSTANTS(:,52) = 15; CONSTANTS(:,53) = 1; CONSTANTS(:,54) = 0.45; CONSTANTS(:,55) = 2.5; CONSTANTS(:,56) = 10000; CONSTANTS(:,57) = 500; CONSTANTS(:,58) = 5; CONSTANTS(:,59) = 660; STATES(:,16) = 0.409551; CONSTANTS(:,60) = 5.469e-5; CONSTANTS(:,61) = 0.04; CONSTANTS(:,62) = 5; CONSTANTS(:,63) = 0.000286113; STATES(:,17) = 0.435148; STATES(:,18) = 9.15641e-6; CONSTANTS(:,64) = 5e-5; CONSTANTS(:,65) = 0.031; CONSTANTS(:,66) = 0.062; CONSTANTS(:,67) = 0.045; CONSTANTS(:,68) = 10; STATES(:,19) = 0.653777; STATES(:,20) = 0.217311; STATES(:,21) = 0.158521; STATES(:,22) = 0.017929; STATES(:,23) = 0.259947; STATES(:,24) = 0.138975; CONSTANTS(:,69) = 88800; CONSTANTS(:,70) = 2277; CONSTANTS(:,71) = 227700; CONSTANTS(:,72) = 1.642e6; CONSTANTS(:,73) = 175.4; CONSTANTS(:,74) = 446; CONSTANTS(:,75) = 7.51; CONSTANTS(:,76) = 751; CONSTANTS(:,77) = 542; CONSTANTS(:,78) = 445; CONSTANTS(:,79) = 2.5; CONSTANTS(:,80) = 0.0012; CONSTANTS(:,81) = 0.46; CONSTANTS(:,82) = 0.0116; CONSTANTS(:,83) = 3.9; CONSTANTS(:,84) = 67; CONSTANTS(:,85) = 0.02; CONSTANTS(:,86) = 0.1539e-3; STATES(:,25) = 0.011845; STATES(:,26) = 0.845304; CONSTANTS(:,87) = 3.5e-3; STATES(:,27) = 0.430836; STATES(:,28) = 0.014523; CONSTANTS(:,88) = 0.00424; STATES(:,29) = 0.283185; STATES(:,30) = 0.011068; STATES(:,31) = 0.709051; CONSTANTS(:,89) = 0.00065; STATES(:,32) = 0.1162; CONSTANTS(:,90) = 0.00345; STATES(:,33) = 0.00277; CONSTANTS(:,91) = 1; CONSTANTS(:,92) = ( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3); CONSTANTS(:,93) = CONSTANTS(:,17)./(CONSTANTS(:,14)./(CONSTANTS(:,14)+CONSTANTS(:,18))); CONSTANTS(:,94) = piecewise({CONSTANTS(:,11)>0.00000, - 0.250000 , CONSTANTS(:,10)>0.00000, ( 0.700000.*CONSTANTS(:,10))./(9.00000e-05+CONSTANTS(:,10)) }, 0.00000); CONSTANTS(:,95) = piecewise({CONSTANTS(:,11)>0.00000, 1.20000.*CONSTANTS(:,89) }, CONSTANTS(:,89)); CONSTANTS(:,96) = piecewise({CONSTANTS(:,10)>0.00000, - 1.00000 - ( 9.89800.*power( 1.00000.*CONSTANTS(:,10), 0.618000))./(power( 1.00000.*CONSTANTS(:,10), 0.618000)+0.00122423) }, 0.00000); CONSTANTS(:,97) = CONSTANTS(:,92).*log(CONSTANTS(:,14)./CONSTANTS(:,13)); CONSTANTS(:,98) = CONSTANTS(:,93)./(CONSTANTS(:,19)+1.00000); CONSTANTS(:,99) = CONSTANTS(:,62).*(1.00000 - CONSTANTS(:,94)); CONSTANTS(:,100) = piecewise({CONSTANTS(:,11)>0.00000, 7.50000 }, 0.00000); CONSTANTS(:,101) = CONSTANTS(:,19).*CONSTANTS(:,98); CONSTANTS(:,102) = ( CONSTANTS(:,98).*CONSTANTS(:,14))./(CONSTANTS(:,14)+CONSTANTS(:,18)); CONSTANTS(:,103) = piecewise({CONSTANTS(:,11)>0.00000, 1.20000 }, 1.00000); CONSTANTS(:,104) = ( CONSTANTS(:,101).*CONSTANTS(:,14))./(CONSTANTS(:,14)+CONSTANTS(:,18)); CONSTANTS(:,105) = CONSTANTS(:,12)./(CONSTANTS(:,34)+CONSTANTS(:,12)); CONSTANTS(:,106) = piecewise({CONSTANTS(:,11)>0.00000, 1.23000 }, 1.00000); CONSTANTS(:,107) = ( 0.310000.*CONSTANTS(:,10))./(CONSTANTS(:,10)+9.00000e-05); CONSTANTS(:,108) = piecewise({CONSTANTS(:,11)>0.00000, - 8.00000 }, 0.00000); CONSTANTS(:,109) = piecewise({CONSTANTS(:,11)>0.00000, - 27.0000 }, 0.00000); CONSTANTS(:,110) = 1.00000e-09.* pi.*power(CONSTANTS(:,83), 2.00000).*CONSTANTS(:,84); CONSTANTS(:,111) = 1.00000e-09.*2.00000.* pi.*CONSTANTS(:,85).*(CONSTANTS(:,83) - CONSTANTS(:,85)./2.00000).*CONSTANTS(:,84); CONSTANTS(:,112) = CONSTANTS(:,80).*CONSTANTS(:,110); CONSTANTS(:,113) = CONSTANTS(:,81).*CONSTANTS(:,110) - CONSTANTS(:,111); CONSTANTS(:,114) = CONSTANTS(:,82).*CONSTANTS(:,110); CONSTANTS(:,115) = piecewise({CONSTANTS(:,11)>0.00000, - 14.0000 }, 0.00000); CONSTANTS(:,116) = (3.59880 - 0.0256410)./(1.00000+1.21550e-06./power( 1.00000.*CONSTANTS(:,10), 1.69510))+0.0256410; 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(:,7) = CONSTANTS(:,70).*CONSTANTS(:,79).*(1.00000 - (STATES(:,23)+STATES(:,19))) - CONSTANTS(:,76).*STATES(:,19); RATES(:,19) = ALGEBRAIC(:,7); ALGEBRAIC(:,2) = CONSTANTS(:,48)./(CONSTANTS(:,48)+STATES(:,2)); ALGEBRAIC(:,8) = ( 0.00100000.*ALGEBRAIC(:,2))./CONSTANTS(:,47); RATES(:,9) = (ALGEBRAIC(:,2) - STATES(:,9))./ALGEBRAIC(:,8); ALGEBRAIC(:,3) = CONSTANTS(:,52) - (CONSTANTS(:,52) - CONSTANTS(:,53))./(1.00000+power(CONSTANTS(:,54)./STATES(:,16), CONSTANTS(:,55))); ALGEBRAIC(:,9) = CONSTANTS(:,56)./ALGEBRAIC(:,3); ALGEBRAIC(:,18) = CONSTANTS(:,57).*ALGEBRAIC(:,3); RATES(:,12) = ( CONSTANTS(:,58).*STATES(:,15) - ALGEBRAIC(:,18).*STATES(:,2).*STATES(:,12)) - ( ALGEBRAIC(:,9).*power(STATES(:,2), 2.00000).*STATES(:,12) - CONSTANTS(:,59).*STATES(:,13)); RATES(:,13) = ( ALGEBRAIC(:,9).*power(STATES(:,2), 2.00000).*STATES(:,12) - CONSTANTS(:,59).*STATES(:,13)) - ( ALGEBRAIC(:,18).*STATES(:,2).*STATES(:,13) - CONSTANTS(:,58).*STATES(:,14)); RATES(:,14) = ( ALGEBRAIC(:,18).*STATES(:,2).*STATES(:,13) - CONSTANTS(:,58).*STATES(:,14)) - ( CONSTANTS(:,59).*STATES(:,14) - ALGEBRAIC(:,9).*power(STATES(:,2), 2.00000).*STATES(:,15)); RATES(:,15) = ( CONSTANTS(:,59).*STATES(:,14) - ALGEBRAIC(:,9).*power(STATES(:,2), 2.00000).*STATES(:,15)) - ( CONSTANTS(:,58).*STATES(:,15) - ALGEBRAIC(:,18).*STATES(:,2).*STATES(:,12)); ALGEBRAIC(:,6) = piecewise({VOI>CONSTANTS(:,6)&VOI=1.00000, ALGEBRAIC(:,6) }, STATES(:,1)); ALGEBRAIC(:,11) = 1.00000./(( 0.360000.*(((ALGEBRAIC(:,10)+148.800) - CONSTANTS(:,96)) - CONSTANTS(:,100)))./(exp( 0.0660000.*(((ALGEBRAIC(:,10)+148.800) - CONSTANTS(:,96)) - CONSTANTS(:,100))) - 1.00000)+( 0.100000.*(((ALGEBRAIC(:,10)+87.3000) - CONSTANTS(:,96)) - CONSTANTS(:,100)))./(1.00000 - exp( - 0.200000.*(((ALGEBRAIC(:,10)+87.3000) - CONSTANTS(:,96)) - CONSTANTS(:,100))))) - 0.0540000; ALGEBRAIC(:,30) = piecewise({ALGEBRAIC(:,10)< - (((80.0000 - CONSTANTS(:,96)) - CONSTANTS(:,100)) - CONSTANTS(:,21)), 0.0132900+0.999210./(1.00000+exp(((((ALGEBRAIC(:,10)+97.1340) - CONSTANTS(:,96)) - CONSTANTS(:,100)) - CONSTANTS(:,21))./8.17520)) }, 0.000250100.*exp( - (((ALGEBRAIC(:,10) - CONSTANTS(:,96)) - CONSTANTS(:,100)) - CONSTANTS(:,21))./12.8610)); RATES(:,4) = (ALGEBRAIC(:,30) - STATES(:,4))./ALGEBRAIC(:,11); ALGEBRAIC(:,15) = 1.00000./(1.00000+exp((ALGEBRAIC(:,10)+37.4000+CONSTANTS(:,45))./(5.30000+CONSTANTS(:,46)))); ALGEBRAIC(:,34) = 0.00100000.*(44.3000+ 230.000.*exp( - power((ALGEBRAIC(:,10)+36.0000)./10.0000, 2.00000))); RATES(:,8) = (ALGEBRAIC(:,15) - STATES(:,8))./ALGEBRAIC(:,34); ALGEBRAIC(:,16) = 1.00000./(1.00000+exp( - (ALGEBRAIC(:,10)+38.3000)./5.50000)); ALGEBRAIC(:,35) = 0.00100000./( 1.06800.*exp((ALGEBRAIC(:,10)+38.3000)./30.0000)+ 1.06800.*exp( - (ALGEBRAIC(:,10)+38.3000)./30.0000)); RATES(:,10) = (ALGEBRAIC(:,16) - STATES(:,10))./ALGEBRAIC(:,35); ALGEBRAIC(:,17) = 1.00000./(1.00000+exp((ALGEBRAIC(:,10)+58.7000)./3.80000)); ALGEBRAIC(:,36) = 1.00000./( 16.6700.*exp( - (ALGEBRAIC(:,10)+75.0000)./83.3000)+ 16.6700.*exp((ALGEBRAIC(:,10)+75.0000)./15.3800))+CONSTANTS(:,50); RATES(:,11) = (ALGEBRAIC(:,17) - STATES(:,11))./ALGEBRAIC(:,36); ALGEBRAIC(:,38) = 0.00900000./(1.00000+exp((ALGEBRAIC(:,10)+5.00000)./12.0000))+0.000500000; ALGEBRAIC(:,20) = 1.00000./(1.00000+exp((ALGEBRAIC(:,10)+6.00000)./ - 8.60000)); RATES(:,25) = (ALGEBRAIC(:,20) - STATES(:,25))./ALGEBRAIC(:,38); ALGEBRAIC(:,39) = 0.590000./(1.00000+exp((ALGEBRAIC(:,10)+60.0000)./10.0000))+3.05000; ALGEBRAIC(:,21) = 1.00000./(1.00000+exp((ALGEBRAIC(:,10)+7.50000)./10.0000)); RATES(:,26) = (ALGEBRAIC(:,21) - STATES(:,26))./ALGEBRAIC(:,39); ALGEBRAIC(:,22) = 1.00000./(1.00000+exp((ALGEBRAIC(:,10)+49.0000)./13.0000)); ALGEBRAIC(:,40) = 0.00100000.*0.600000.*(65.1700./( 0.570000.*exp( - 0.0800000.*(ALGEBRAIC(:,10)+44.0000))+ 0.0650000.*exp( 0.100000.*(ALGEBRAIC(:,10)+45.9300)))+10.1000); RATES(:,27) = (ALGEBRAIC(:,22) - STATES(:,27))./ALGEBRAIC(:,40); ALGEBRAIC(:,23) = 1.00000./(1.00000+exp( - (ALGEBRAIC(:,10) - 19.3000)./15.0000)); ALGEBRAIC(:,41) = 0.00100000.*0.660000.*1.40000.*(15.5900./( 1.03700.*exp( 0.0900000.*(ALGEBRAIC(:,10)+30.6100))+ 0.369000.*exp( - 0.120000.*(ALGEBRAIC(:,10)+23.8400)))+2.98000); RATES(:,28) = (ALGEBRAIC(:,23) - STATES(:,28))./ALGEBRAIC(:,41); ALGEBRAIC(:,24) = 1.00000./(1.00000+exp( - (ALGEBRAIC(:,10)+10.0144)./7.66070)); ALGEBRAIC(:,42) = 0.846554./( 4.20000.*exp(ALGEBRAIC(:,10)./17.0000)+ 0.150000.*exp( - ALGEBRAIC(:,10)./21.6000)); RATES(:,29) = (ALGEBRAIC(:,24) - STATES(:,29))./ALGEBRAIC(:,42); ALGEBRAIC(:,43) = 1.00000./( 30.0000.*exp(ALGEBRAIC(:,10)./10.0000)+exp( - ALGEBRAIC(:,10)./12.0000)); RATES(:,30) = (ALGEBRAIC(:,24) - STATES(:,30))./ALGEBRAIC(:,43); ALGEBRAIC(:,44) = 1.00000./(1.00000+exp((ALGEBRAIC(:,10)+28.6000)./17.1000)); ALGEBRAIC(:,27) = 1.00000./( 100.000.*exp( - ALGEBRAIC(:,10)./54.6450)+ 656.000.*exp(ALGEBRAIC(:,10)./106.157)); RATES(:,31) = (ALGEBRAIC(:,44) - STATES(:,31))./ALGEBRAIC(:,27); ALGEBRAIC(:,29) = 10.0000.*exp( 0.0133000.*(ALGEBRAIC(:,10)+40.0000)); ALGEBRAIC(:,46) = CONSTANTS(:,116)./(CONSTANTS(:,116)+ALGEBRAIC(:,29)); ALGEBRAIC(:,52) = 1.00000./(CONSTANTS(:,116)+ALGEBRAIC(:,29)); RATES(:,33) = (ALGEBRAIC(:,46) - STATES(:,33))./ALGEBRAIC(:,52); ALGEBRAIC(:,13) = 1.00000./(1.00000+exp((ALGEBRAIC(:,10)+69.8040)./4.45650)); ALGEBRAIC(:,32) = 20.0000.*exp( - 0.125000.*(ALGEBRAIC(:,10)+75.0000)); ALGEBRAIC(:,48) = 2000.00./( 320.000.*exp( - 0.100000.*(ALGEBRAIC(:,10)+75.0000))+1.00000); ALGEBRAIC(:,54) = 1.00000./(ALGEBRAIC(:,32)+ALGEBRAIC(:,48)); RATES(:,6) = (ALGEBRAIC(:,13) - STATES(:,6))./ALGEBRAIC(:,54); ALGEBRAIC(:,28) = power((1.00000./(1.00000+exp( - ((ALGEBRAIC(:,10)+0.638300) - CONSTANTS(:,115))./10.7071))), 1.0 ./ 2); ALGEBRAIC(:,45) = 28.0000./(1.00000+exp( - ((ALGEBRAIC(:,10) - 40.0000) - CONSTANTS(:,115))./3.00000)); ALGEBRAIC(:,51) = 1.00000.*exp( - ((ALGEBRAIC(:,10) - CONSTANTS(:,115)) - 5.00000)./25.0000); ALGEBRAIC(:,57) = 1.00000./(ALGEBRAIC(:,45)+ALGEBRAIC(:,51)); RATES(:,32) = (ALGEBRAIC(:,28) - STATES(:,32))./ALGEBRAIC(:,57); ALGEBRAIC(:,12) = 1.00000./(1.00000+exp( - (ALGEBRAIC(:,10)+42.0504)./8.31060)); ALGEBRAIC(:,31) = ALGEBRAIC(:,10)+41.0000; ALGEBRAIC(:,47) = piecewise({abs(ALGEBRAIC(:,31))0.00000, CONSTANTS(:,91).*CONSTANTS(:,90).*(ALGEBRAIC(:,10) - CONSTANTS(:,97)).*(1.00000+exp((ALGEBRAIC(:,10)+20.0000)./20.0000)).*STATES(:,33) }, 0.00000); ALGEBRAIC(:,86) = CONSTANTS(:,86).*STATES(:,25).*STATES(:,26).*(ALGEBRAIC(:,10) - CONSTANTS(:,97)); ALGEBRAIC(:,101) = ALGEBRAIC(:,60)+ALGEBRAIC(:,90)+ALGEBRAIC(:,96)+ALGEBRAIC(:,88)+ALGEBRAIC(:,62)+ALGEBRAIC(:,76)+ALGEBRAIC(:,80)+ALGEBRAIC(:,84)+ALGEBRAIC(:,85)+ALGEBRAIC(:,99)+ALGEBRAIC(:,86); RATES(:,1) = - ALGEBRAIC(:,101)./CONSTANTS(:,4); 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(:,7) = CONSTANTS(:,70).*CONSTANTS(:,79).*(1.00000 - (STATES(:,23)+STATES(:,19))) - CONSTANTS(:,76).*STATES(:,19); ALGEBRAIC(:,2) = CONSTANTS(:,48)./(CONSTANTS(:,48)+STATES(:,2)); ALGEBRAIC(:,8) = ( 0.00100000.*ALGEBRAIC(:,2))./CONSTANTS(:,47); ALGEBRAIC(:,3) = CONSTANTS(:,52) - (CONSTANTS(:,52) - CONSTANTS(:,53))./(1.00000+power(CONSTANTS(:,54)./STATES(:,16), CONSTANTS(:,55))); ALGEBRAIC(:,9) = CONSTANTS(:,56)./ALGEBRAIC(:,3); ALGEBRAIC(:,18) = CONSTANTS(:,57).*ALGEBRAIC(:,3); ALGEBRAIC(:,6) = piecewise({VOI>CONSTANTS(:,6)&VOI=1.00000, ALGEBRAIC(:,6) }, STATES(:,1)); ALGEBRAIC(:,11) = 1.00000./(( 0.360000.*(((ALGEBRAIC(:,10)+148.800) - CONSTANTS(:,96)) - CONSTANTS(:,100)))./(exp( 0.0660000.*(((ALGEBRAIC(:,10)+148.800) - CONSTANTS(:,96)) - CONSTANTS(:,100))) - 1.00000)+( 0.100000.*(((ALGEBRAIC(:,10)+87.3000) - CONSTANTS(:,96)) - CONSTANTS(:,100)))./(1.00000 - exp( - 0.200000.*(((ALGEBRAIC(:,10)+87.3000) - CONSTANTS(:,96)) - CONSTANTS(:,100))))) - 0.0540000; ALGEBRAIC(:,30) = piecewise({ALGEBRAIC(:,10)< - (((80.0000 - CONSTANTS(:,96)) - CONSTANTS(:,100)) - CONSTANTS(:,21)), 0.0132900+0.999210./(1.00000+exp(((((ALGEBRAIC(:,10)+97.1340) - CONSTANTS(:,96)) - CONSTANTS(:,100)) - CONSTANTS(:,21))./8.17520)) }, 0.000250100.*exp( - (((ALGEBRAIC(:,10) - CONSTANTS(:,96)) - CONSTANTS(:,100)) - CONSTANTS(:,21))./12.8610)); ALGEBRAIC(:,15) = 1.00000./(1.00000+exp((ALGEBRAIC(:,10)+37.4000+CONSTANTS(:,45))./(5.30000+CONSTANTS(:,46)))); ALGEBRAIC(:,34) = 0.00100000.*(44.3000+ 230.000.*exp( - power((ALGEBRAIC(:,10)+36.0000)./10.0000, 2.00000))); ALGEBRAIC(:,16) = 1.00000./(1.00000+exp( - (ALGEBRAIC(:,10)+38.3000)./5.50000)); ALGEBRAIC(:,35) = 0.00100000./( 1.06800.*exp((ALGEBRAIC(:,10)+38.3000)./30.0000)+ 1.06800.*exp( - (ALGEBRAIC(:,10)+38.3000)./30.0000)); ALGEBRAIC(:,17) = 1.00000./(1.00000+exp((ALGEBRAIC(:,10)+58.7000)./3.80000)); ALGEBRAIC(:,36) = 1.00000./( 16.6700.*exp( - (ALGEBRAIC(:,10)+75.0000)./83.3000)+ 16.6700.*exp((ALGEBRAIC(:,10)+75.0000)./15.3800))+CONSTANTS(:,50); ALGEBRAIC(:,38) = 0.00900000./(1.00000+exp((ALGEBRAIC(:,10)+5.00000)./12.0000))+0.000500000; ALGEBRAIC(:,20) = 1.00000./(1.00000+exp((ALGEBRAIC(:,10)+6.00000)./ - 8.60000)); ALGEBRAIC(:,39) = 0.590000./(1.00000+exp((ALGEBRAIC(:,10)+60.0000)./10.0000))+3.05000; ALGEBRAIC(:,21) = 1.00000./(1.00000+exp((ALGEBRAIC(:,10)+7.50000)./10.0000)); ALGEBRAIC(:,22) = 1.00000./(1.00000+exp((ALGEBRAIC(:,10)+49.0000)./13.0000)); ALGEBRAIC(:,40) = 0.00100000.*0.600000.*(65.1700./( 0.570000.*exp( - 0.0800000.*(ALGEBRAIC(:,10)+44.0000))+ 0.0650000.*exp( 0.100000.*(ALGEBRAIC(:,10)+45.9300)))+10.1000); ALGEBRAIC(:,23) = 1.00000./(1.00000+exp( - (ALGEBRAIC(:,10) - 19.3000)./15.0000)); ALGEBRAIC(:,41) = 0.00100000.*0.660000.*1.40000.*(15.5900./( 1.03700.*exp( 0.0900000.*(ALGEBRAIC(:,10)+30.6100))+ 0.369000.*exp( - 0.120000.*(ALGEBRAIC(:,10)+23.8400)))+2.98000); ALGEBRAIC(:,24) = 1.00000./(1.00000+exp( - (ALGEBRAIC(:,10)+10.0144)./7.66070)); ALGEBRAIC(:,42) = 0.846554./( 4.20000.*exp(ALGEBRAIC(:,10)./17.0000)+ 0.150000.*exp( - ALGEBRAIC(:,10)./21.6000)); ALGEBRAIC(:,43) = 1.00000./( 30.0000.*exp(ALGEBRAIC(:,10)./10.0000)+exp( - ALGEBRAIC(:,10)./12.0000)); ALGEBRAIC(:,44) = 1.00000./(1.00000+exp((ALGEBRAIC(:,10)+28.6000)./17.1000)); ALGEBRAIC(:,27) = 1.00000./( 100.000.*exp( - ALGEBRAIC(:,10)./54.6450)+ 656.000.*exp(ALGEBRAIC(:,10)./106.157)); ALGEBRAIC(:,29) = 10.0000.*exp( 0.0133000.*(ALGEBRAIC(:,10)+40.0000)); ALGEBRAIC(:,46) = CONSTANTS(:,116)./(CONSTANTS(:,116)+ALGEBRAIC(:,29)); ALGEBRAIC(:,52) = 1.00000./(CONSTANTS(:,116)+ALGEBRAIC(:,29)); ALGEBRAIC(:,13) = 1.00000./(1.00000+exp((ALGEBRAIC(:,10)+69.8040)./4.45650)); ALGEBRAIC(:,32) = 20.0000.*exp( - 0.125000.*(ALGEBRAIC(:,10)+75.0000)); ALGEBRAIC(:,48) = 2000.00./( 320.000.*exp( - 0.100000.*(ALGEBRAIC(:,10)+75.0000))+1.00000); ALGEBRAIC(:,54) = 1.00000./(ALGEBRAIC(:,32)+ALGEBRAIC(:,48)); ALGEBRAIC(:,28) = power((1.00000./(1.00000+exp( - ((ALGEBRAIC(:,10)+0.638300) - CONSTANTS(:,115))./10.7071))), 1.0 ./ 2); ALGEBRAIC(:,45) = 28.0000./(1.00000+exp( - ((ALGEBRAIC(:,10) - 40.0000) - CONSTANTS(:,115))./3.00000)); ALGEBRAIC(:,51) = 1.00000.*exp( - ((ALGEBRAIC(:,10) - CONSTANTS(:,115)) - 5.00000)./25.0000); ALGEBRAIC(:,57) = 1.00000./(ALGEBRAIC(:,45)+ALGEBRAIC(:,51)); ALGEBRAIC(:,12) = 1.00000./(1.00000+exp( - (ALGEBRAIC(:,10)+42.0504)./8.31060)); ALGEBRAIC(:,31) = ALGEBRAIC(:,10)+41.0000; ALGEBRAIC(:,47) = piecewise({abs(ALGEBRAIC(:,31))0.00000, CONSTANTS(:,91).*CONSTANTS(:,90).*(ALGEBRAIC(:,10) - CONSTANTS(:,97)).*(1.00000+exp((ALGEBRAIC(:,10)+20.0000)./20.0000)).*STATES(:,33) }, 0.00000); ALGEBRAIC(:,86) = CONSTANTS(:,86).*STATES(:,25).*STATES(:,26).*(ALGEBRAIC(:,10) - CONSTANTS(:,97)); ALGEBRAIC(:,101) = ALGEBRAIC(:,60)+ALGEBRAIC(:,90)+ALGEBRAIC(:,96)+ALGEBRAIC(:,88)+ALGEBRAIC(:,62)+ALGEBRAIC(:,76)+ALGEBRAIC(:,80)+ALGEBRAIC(:,84)+ALGEBRAIC(:,85)+ALGEBRAIC(:,99)+ALGEBRAIC(:,86); ALGEBRAIC(:,1) = 0.500000.*CONSTANTS(:,92).*log(CONSTANTS(:,15)./STATES(:,2)); ALGEBRAIC(:,4) = STATES(:,16) - STATES(:,2); ALGEBRAIC(:,5) = STATES(:,12)+STATES(:,13)+STATES(:,14)+STATES(:,15); ALGEBRAIC(:,25) = (1.00000./(1.00000+exp( - (ALGEBRAIC(:,10)+23.2000)./6.60000)))./(0.846554./( 37.2000.*exp(ALGEBRAIC(:,10)./11.9000)+ 0.960000.*exp( - ALGEBRAIC(:,10)./18.5000))); ALGEBRAIC(:,26) = 4.00000.*(( 37.2000.*exp(ALGEBRAIC(:,10)./15.9000)+ 0.960000.*exp( - ALGEBRAIC(:,10)./22.5000))./0.846554 - (1.00000./(1.00000+exp( - (ALGEBRAIC(:,10)+23.2000)./10.6000)))./(0.846554./( 37.2000.*exp(ALGEBRAIC(:,10)./15.9000)+ 0.960000.*exp( - ALGEBRAIC(:,10)./22.5000)))); 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