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 =98; end % There are a total of 35 entries in each of the rate and state variable arrays. % There are a total of 103 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_STATES(:,1) = strpad('Ca_jsr in component Ca_dynamics (mM)'); LEGEND_STATES(:,2) = strpad('Ca_sub in component Ca_dynamics (mM)'); LEGEND_CONSTANTS(:,1) = strpad('EC50_SR in component Ca_SR_release (mM)'); LEGEND_CONSTANTS(:,2) = strpad('HSR in component Ca_SR_release (dimensionless)'); LEGEND_STATES(:,3) = strpad('I in component Ca_SR_release (dimensionless)'); LEGEND_CONSTANTS(:,3) = strpad('MaxSR in component Ca_SR_release (dimensionless)'); LEGEND_CONSTANTS(:,4) = strpad('MinSR in component Ca_SR_release (dimensionless)'); LEGEND_STATES(:,4) = strpad('O in component Ca_SR_release (dimensionless)'); LEGEND_STATES(:,5) = strpad('R in component Ca_SR_release (dimensionless)'); LEGEND_STATES(:,6) = strpad('RI in component Ca_SR_release (dimensionless)'); LEGEND_ALGEBRAIC(:,2) = strpad('j_SRCarel in component Ca_SR_release (mol_per_m3_per_s)'); LEGEND_ALGEBRAIC(:,1) = strpad('kCaSR in component Ca_SR_release (dimensionless)'); LEGEND_CONSTANTS(:,5) = strpad('kiCa in component Ca_SR_release (m3_per_s_per_mol)'); LEGEND_ALGEBRAIC(:,6) = strpad('kiSRCa in component Ca_SR_release (m3_per_s_per_mol)'); LEGEND_CONSTANTS(:,6) = strpad('kim in component Ca_SR_release (hertz)'); LEGEND_CONSTANTS(:,7) = strpad('koCa in component Ca_SR_release (m6_per_s_per_mol2)'); LEGEND_ALGEBRAIC(:,10) = strpad('koSRCa in component Ca_SR_release (m6_per_s_per_mol2)'); LEGEND_CONSTANTS(:,8) = strpad('kom in component Ca_SR_release (hertz)'); LEGEND_CONSTANTS(:,9) = strpad('ks in component Ca_SR_release (hertz)'); LEGEND_VOI = strpad('time in component environment (second)'); LEGEND_CONSTANTS(:,10) = strpad('CM_tot in component Ca_buffering (mM)'); LEGEND_CONSTANTS(:,11) = strpad('CQ_tot in component Ca_buffering (mM)'); LEGEND_STATES(:,7) = strpad('Cai in component Ca_dynamics (mM)'); LEGEND_CONSTANTS(:,12) = strpad('Mgi in component Ca_buffering (mM)'); LEGEND_CONSTANTS(:,13) = strpad('TC_tot in component Ca_buffering (mM)'); LEGEND_CONSTANTS(:,14) = strpad('TMC_tot in component Ca_buffering (mM)'); LEGEND_ALGEBRAIC(:,7) = strpad('delta_fCMi in component Ca_buffering (hertz)'); LEGEND_ALGEBRAIC(:,11) = strpad('delta_fCMs in component Ca_buffering (hertz)'); LEGEND_ALGEBRAIC(:,12) = strpad('delta_fCQ in component Ca_buffering (hertz)'); LEGEND_ALGEBRAIC(:,13) = strpad('delta_fTC in component Ca_buffering (hertz)'); LEGEND_ALGEBRAIC(:,14) = strpad('delta_fTMC in component Ca_buffering (hertz)'); LEGEND_ALGEBRAIC(:,3) = strpad('delta_fTMM in component Ca_buffering (hertz)'); LEGEND_STATES(:,8) = strpad('fCMi in component Ca_buffering (dimensionless)'); LEGEND_STATES(:,9) = strpad('fCMs in component Ca_buffering (dimensionless)'); LEGEND_STATES(:,10) = strpad('fCQ in component Ca_buffering (dimensionless)'); LEGEND_STATES(:,11) = strpad('fTC in component Ca_buffering (dimensionless)'); LEGEND_STATES(:,12) = strpad('fTMC in component Ca_buffering (dimensionless)'); LEGEND_STATES(:,13) = strpad('fTMM in component Ca_buffering (dimensionless)'); LEGEND_CONSTANTS(:,15) = strpad('kb_CM in component Ca_buffering (hertz)'); LEGEND_CONSTANTS(:,16) = strpad('kb_CQ in component Ca_buffering (hertz)'); LEGEND_CONSTANTS(:,17) = strpad('kb_TC in component Ca_buffering (hertz)'); LEGEND_CONSTANTS(:,18) = strpad('kb_TMC in component Ca_buffering (hertz)'); LEGEND_CONSTANTS(:,19) = strpad('kb_TMM in component Ca_buffering (hertz)'); LEGEND_CONSTANTS(:,20) = strpad('kf_CM in component Ca_buffering (m3_per_s_per_mol)'); LEGEND_CONSTANTS(:,21) = strpad('kf_CQ in component Ca_buffering (m3_per_s_per_mol)'); LEGEND_CONSTANTS(:,22) = strpad('kf_TC in component Ca_buffering (m3_per_s_per_mol)'); LEGEND_CONSTANTS(:,23) = strpad('kf_TMC in component Ca_buffering (m3_per_s_per_mol)'); LEGEND_CONSTANTS(:,24) = strpad('kf_TMM in component Ca_buffering (m3_per_s_per_mol)'); LEGEND_STATES(:,14) = strpad('Ca_nsr in component Ca_dynamics (mM)'); LEGEND_CONSTANTS(:,25) = strpad('F in component Membrane (C_per_mol)'); LEGEND_CONSTANTS(:,92) = strpad('V_i in component Cell_parameters (uL)'); LEGEND_CONSTANTS(:,89) = strpad('V_jsr in component Cell_parameters (uL)'); LEGEND_CONSTANTS(:,90) = strpad('V_nsr in component Cell_parameters (uL)'); LEGEND_CONSTANTS(:,91) = strpad('V_sub in component Cell_parameters (uL)'); LEGEND_ALGEBRAIC(:,65) = strpad('i_CaT in component i_CaT (nA)'); LEGEND_ALGEBRAIC(:,91) = strpad('i_NaCa in component i_NaCa (nA)'); LEGEND_ALGEBRAIC(:,21) = strpad('i_siCa in component i_CaL (nA)'); LEGEND_ALGEBRAIC(:,15) = strpad('j_Ca_dif in component Ca_intracellular_fluxes (mol_per_m3_per_s)'); LEGEND_ALGEBRAIC(:,16) = strpad('j_tr in component Ca_intracellular_fluxes (mol_per_m3_per_s)'); LEGEND_ALGEBRAIC(:,18) = strpad('j_up in component Ca_intracellular_fluxes (mol_per_m3_per_s)'); LEGEND_CONSTANTS(:,26) = strpad('ACh in component Rate_modulation_experiments (mM)'); LEGEND_CONSTANTS(:,27) = strpad('Iso_1_uM in component Rate_modulation_experiments (dimensionless)'); LEGEND_CONSTANTS(:,28) = strpad('K_up in component Ca_intracellular_fluxes (mM)'); LEGEND_CONSTANTS(:,88) = strpad('P_up in component Ca_intracellular_fluxes (mol_per_m3_per_s)'); LEGEND_CONSTANTS(:,29) = strpad('P_up_basal in component Ca_intracellular_fluxes (mol_per_m3_per_s)'); LEGEND_CONSTANTS(:,83) = strpad('b_up in component Ca_intracellular_fluxes (dimensionless)'); LEGEND_CONSTANTS(:,30) = strpad('slope_up in component Ca_intracellular_fluxes (mM)'); LEGEND_CONSTANTS(:,31) = strpad('tau_dif_Ca in component Ca_intracellular_fluxes (second)'); LEGEND_CONSTANTS(:,32) = strpad('tau_tr in component Ca_intracellular_fluxes (second)'); LEGEND_CONSTANTS(:,33) = strpad('L_cell in component Cell_parameters (um)'); LEGEND_CONSTANTS(:,34) = strpad('L_sub in component Cell_parameters (um)'); LEGEND_CONSTANTS(:,35) = strpad('R_cell in component Cell_parameters (um)'); LEGEND_CONSTANTS(:,84) = strpad('V_cell in component Cell_parameters (uL)'); LEGEND_CONSTANTS(:,36) = strpad('V_i_part in component Cell_parameters (dimensionless)'); LEGEND_CONSTANTS(:,37) = strpad('V_jsr_part in component Cell_parameters (dimensionless)'); LEGEND_CONSTANTS(:,38) = strpad('V_nsr_part in component Cell_parameters (dimensionless)'); LEGEND_CONSTANTS(:,39) = strpad('Cao in component Ionic_values (mM)'); LEGEND_ALGEBRAIC(:,17) = strpad('E_K in component Ionic_values (mV)'); LEGEND_ALGEBRAIC(:,19) = strpad('E_Na in component Ionic_values (mV)'); LEGEND_STATES(:,15) = strpad('Ki in component Ki_concentration (mM)'); LEGEND_CONSTANTS(:,40) = strpad('Ko in component Ionic_values (mM)'); LEGEND_STATES(:,16) = strpad('Nai in component Nai_concentration (mM)'); LEGEND_CONSTANTS(:,41) = strpad('Nao in component Ionic_values (mM)'); LEGEND_CONSTANTS(:,93) = strpad('RTONF in component Membrane (mV)'); LEGEND_ALGEBRAIC(:,70) = strpad('i_Kr in component i_Kr (nA)'); LEGEND_ALGEBRAIC(:,72) = strpad('i_Ks in component i_Ks (nA)'); LEGEND_ALGEBRAIC(:,73) = strpad('i_Kur in component i_Kur (nA)'); LEGEND_ALGEBRAIC(:,92) = strpad('i_NaK in component i_NaK (nA)'); LEGEND_ALGEBRAIC(:,93) = strpad('i_SK in component i_SK (nA)'); LEGEND_ALGEBRAIC(:,94) = strpad('i_fK in component i_f (nA)'); LEGEND_ALGEBRAIC(:,37) = strpad('i_siK in component i_CaL (nA)'); LEGEND_ALGEBRAIC(:,97) = strpad('i_to in component i_to (nA)'); LEGEND_CONSTANTS(:,42) = strpad('C in component Membrane (uF)'); LEGEND_CONSTANTS(:,43) = strpad('R in component Membrane (mJ_per_mol_per_K)'); LEGEND_CONSTANTS(:,44) = strpad('T in component Membrane (kelvin)'); LEGEND_ALGEBRAIC(:,20) = strpad('V in component Membrane (mV)'); LEGEND_STATES(:,17) = strpad('V_ode in component Membrane (mV)'); LEGEND_ALGEBRAIC(:,60) = strpad('i_CaL in component i_CaL (nA)'); LEGEND_ALGEBRAIC(:,68) = strpad('i_KACh in component i_KACh (nA)'); LEGEND_ALGEBRAIC(:,77) = strpad('i_Na in component i_Na (nA)'); LEGEND_ALGEBRAIC(:,96) = strpad('i_f in component i_f (nA)'); LEGEND_ALGEBRAIC(:,98) = strpad('i_tot in component Membrane (nA)'); LEGEND_ALGEBRAIC(:,95) = strpad('i_fNa in component i_f (nA)'); LEGEND_ALGEBRAIC(:,54) = strpad('i_siNa in component i_CaL (nA)'); LEGEND_CONSTANTS(:,94) = strpad('ACh_block in component i_CaL (dimensionless)'); LEGEND_CONSTANTS(:,95) = strpad('Iso_increase in component i_CaL (dimensionless)'); LEGEND_CONSTANTS(:,45) = strpad('P_CaL in component i_CaL (m3_A_per_mol_times_1e_minus_9)'); LEGEND_STATES(:,18) = strpad('dL in component i_CaL_dL_gate (dimensionless)'); LEGEND_STATES(:,19) = strpad('fCa in component i_CaL_fCa_gate (dimensionless)'); LEGEND_STATES(:,20) = strpad('fL in component i_CaL_fL_gate (dimensionless)'); LEGEND_CONSTANTS(:,96) = strpad('Iso_shift_dL in component i_CaL_dL_gate (mV)'); LEGEND_CONSTANTS(:,97) = strpad('Iso_slope_dL in component i_CaL_dL_gate (dimensionless)'); LEGEND_CONSTANTS(:,98) = strpad('V_dL in component i_CaL_dL_gate (mV)'); LEGEND_ALGEBRAIC(:,22) = strpad('adVm in component i_CaL_dL_gate (mV)'); LEGEND_ALGEBRAIC(:,38) = strpad('alpha_dL in component i_CaL_dL_gate (hertz)'); LEGEND_ALGEBRAIC(:,55) = strpad('bdVm in component i_CaL_dL_gate (mV)'); LEGEND_ALGEBRAIC(:,61) = strpad('beta_dL in component i_CaL_dL_gate (hertz)'); LEGEND_ALGEBRAIC(:,66) = strpad('dL_infinity in component i_CaL_dL_gate (dimensionless)'); LEGEND_CONSTANTS(:,46) = strpad('k_dL in component i_CaL_dL_gate (mV)'); LEGEND_ALGEBRAIC(:,69) = strpad('tau_dL in component i_CaL_dL_gate (second)'); LEGEND_CONSTANTS(:,47) = strpad('Km_fCa in component i_CaL_fCa_gate (mM)'); LEGEND_CONSTANTS(:,48) = strpad('alpha_fCa in component i_CaL_fCa_gate (hertz)'); LEGEND_ALGEBRAIC(:,4) = strpad('fCa_infinity in component i_CaL_fCa_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,8) = strpad('tau_fCa in component i_CaL_fCa_gate (second)'); LEGEND_ALGEBRAIC(:,23) = strpad('fL_infinity in component i_CaL_fL_gate (dimensionless)'); LEGEND_CONSTANTS(:,49) = strpad('k_fL in component i_CaL_fL_gate (mV)'); LEGEND_CONSTANTS(:,50) = strpad('shift_fL in component i_CaL_fL_gate (mV)'); LEGEND_ALGEBRAIC(:,39) = strpad('tau_fL in component i_CaL_fL_gate (second)'); LEGEND_CONSTANTS(:,51) = strpad('P_CaT in component i_CaT (m3_A_per_mol_times_1e_minus_9)'); LEGEND_STATES(:,21) = strpad('dT in component i_CaT_dT_gate (dimensionless)'); LEGEND_STATES(:,22) = strpad('fT in component i_CaT_fT_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,24) = strpad('dT_infinity in component i_CaT_dT_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,40) = strpad('tau_dT in component i_CaT_dT_gate (second)'); LEGEND_ALGEBRAIC(:,25) = strpad('fT_infinity in component i_CaT_fT_gate (dimensionless)'); LEGEND_CONSTANTS(:,52) = strpad('offset_fT in component i_CaT_fT_gate (second)'); LEGEND_ALGEBRAIC(:,41) = strpad('tau_fT in component i_CaT_fT_gate (second)'); LEGEND_CONSTANTS(:,53) = strpad('ACh_on in component i_KACh (dimensionless)'); LEGEND_STATES(:,23) = strpad('a in component i_KACh_a_gate (dimensionless)'); LEGEND_CONSTANTS(:,54) = strpad('g_KACh in component i_KACh (uS)'); LEGEND_ALGEBRAIC(:,42) = strpad('a_infinity in component i_KACh_a_gate (dimensionless)'); LEGEND_CONSTANTS(:,99) = strpad('alpha_a in component i_KACh_a_gate (hertz)'); LEGEND_ALGEBRAIC(:,26) = strpad('beta_a in component i_KACh_a_gate (hertz)'); LEGEND_ALGEBRAIC(:,56) = strpad('tau_a in component i_KACh_a_gate (second)'); LEGEND_CONSTANTS(:,85) = strpad('g_Kr in component i_Kr (uS)'); LEGEND_STATES(:,24) = strpad('paF in component i_Kr_pa_gate (dimensionless)'); LEGEND_STATES(:,25) = strpad('paS in component i_Kr_pa_gate (dimensionless)'); LEGEND_STATES(:,26) = strpad('piy in component i_Kr_pi_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,27) = strpad('pa_infinity in component i_Kr_pa_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,43) = strpad('tau_paF in component i_Kr_pa_gate (second)'); LEGEND_ALGEBRAIC(:,44) = strpad('tau_paS in component i_Kr_pa_gate (second)'); LEGEND_ALGEBRAIC(:,28) = strpad('pi_infinity in component i_Kr_pi_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,45) = strpad('tau_pi in component i_Kr_pi_gate (second)'); LEGEND_ALGEBRAIC(:,71) = strpad('E_Ks in component i_Ks (mV)'); LEGEND_CONSTANTS(:,86) = strpad('g_Ks in component i_Ks (uS)'); LEGEND_CONSTANTS(:,55) = strpad('g_Ks_ in component i_Ks (uS)'); LEGEND_STATES(:,27) = strpad('n in component i_Ks_n_gate (dimensionless)'); LEGEND_CONSTANTS(:,100) = strpad('Iso_shift in component i_Ks_n_gate (mV)'); LEGEND_ALGEBRAIC(:,29) = strpad('alpha_n in component i_Ks_n_gate (hertz)'); LEGEND_ALGEBRAIC(:,46) = strpad('beta_n in component i_Ks_n_gate (hertz)'); LEGEND_ALGEBRAIC(:,57) = strpad('n_infinity in component i_Ks_n_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,62) = strpad('tau_n in component i_Ks_n_gate (second)'); LEGEND_CONSTANTS(:,56) = strpad('g_Kur in component i_Kur (uS)'); LEGEND_STATES(:,28) = strpad('r_Kur in component i_Kur_rKur_gate (dimensionless)'); LEGEND_STATES(:,29) = strpad('s_Kur in component i_Kur_sKur_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,30) = strpad('r_Kur_infinity in component i_Kur_rKur_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,47) = strpad('tau_r_Kur in component i_Kur_rKur_gate (second)'); LEGEND_ALGEBRAIC(:,31) = strpad('s_Kur_infinity in component i_Kur_sKur_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,48) = strpad('tau_s_Kur in component i_Kur_sKur_gate (second)'); LEGEND_ALGEBRAIC(:,74) = strpad('E_mh in component i_Na (mV)'); LEGEND_CONSTANTS(:,57) = strpad('g_Na in component i_Na (uS)'); LEGEND_CONSTANTS(:,58) = strpad('g_Na_L in component i_Na (uS)'); LEGEND_STATES(:,30) = strpad('h in component i_Na_h_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,75) = strpad('i_Na_ in component i_Na (nA)'); LEGEND_ALGEBRAIC(:,76) = strpad('i_Na_L in component i_Na (nA)'); LEGEND_STATES(:,31) = strpad('m in component i_Na_m_gate (dimensionless)'); LEGEND_CONSTANTS(:,59) = strpad('K1ni in component i_NaCa (mM)'); LEGEND_CONSTANTS(:,60) = strpad('K1no in component i_NaCa (mM)'); LEGEND_CONSTANTS(:,61) = strpad('K2ni in component i_NaCa (mM)'); LEGEND_CONSTANTS(:,62) = strpad('K2no in component i_NaCa (mM)'); LEGEND_CONSTANTS(:,63) = strpad('K3ni in component i_NaCa (mM)'); LEGEND_CONSTANTS(:,64) = strpad('K3no in component i_NaCa (mM)'); LEGEND_CONSTANTS(:,65) = strpad('K_NaCa in component i_NaCa (nA)'); LEGEND_CONSTANTS(:,66) = strpad('Kci in component i_NaCa (mM)'); LEGEND_CONSTANTS(:,67) = strpad('Kcni in component i_NaCa (mM)'); LEGEND_CONSTANTS(:,68) = strpad('Kco in component i_NaCa (mM)'); LEGEND_CONSTANTS(:,69) = strpad('Qci in component i_NaCa (dimensionless)'); LEGEND_CONSTANTS(:,70) = strpad('Qco in component i_NaCa (dimensionless)'); LEGEND_CONSTANTS(:,71) = strpad('Qn in component i_NaCa (dimensionless)'); LEGEND_ALGEBRAIC(:,78) = strpad('di in component i_NaCa (dimensionless)'); LEGEND_ALGEBRAIC(:,79) = strpad('do in component i_NaCa (dimensionless)'); LEGEND_ALGEBRAIC(:,80) = strpad('k12 in component i_NaCa (dimensionless)'); LEGEND_ALGEBRAIC(:,81) = strpad('k14 in component i_NaCa (dimensionless)'); LEGEND_ALGEBRAIC(:,82) = strpad('k21 in component i_NaCa (dimensionless)'); LEGEND_ALGEBRAIC(:,83) = strpad('k23 in component i_NaCa (dimensionless)'); LEGEND_ALGEBRAIC(:,84) = strpad('k32 in component i_NaCa (dimensionless)'); LEGEND_CONSTANTS(:,101) = strpad('k34 in component i_NaCa (dimensionless)'); LEGEND_ALGEBRAIC(:,85) = strpad('k41 in component i_NaCa (dimensionless)'); LEGEND_ALGEBRAIC(:,86) = strpad('k43 in component i_NaCa (dimensionless)'); LEGEND_ALGEBRAIC(:,87) = strpad('x1 in component i_NaCa (dimensionless)'); LEGEND_ALGEBRAIC(:,88) = strpad('x2 in component i_NaCa (dimensionless)'); LEGEND_ALGEBRAIC(:,89) = strpad('x3 in component i_NaCa (dimensionless)'); LEGEND_ALGEBRAIC(:,90) = strpad('x4 in component i_NaCa (dimensionless)'); LEGEND_CONSTANTS(:,87) = strpad('Iso_increase in component i_NaK (dimensionless)'); LEGEND_CONSTANTS(:,72) = strpad('Km_Kp in component i_NaK (mM)'); LEGEND_CONSTANTS(:,73) = strpad('Km_Nap in component i_NaK (mM)'); LEGEND_CONSTANTS(:,74) = strpad('i_NaK_max in component i_NaK (nA)'); LEGEND_ALGEBRAIC(:,32) = strpad('alpha_h in component i_Na_h_gate (hertz)'); LEGEND_ALGEBRAIC(:,49) = strpad('beta_h in component i_Na_h_gate (hertz)'); LEGEND_ALGEBRAIC(:,58) = strpad('h_infinity in component i_Na_h_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,63) = strpad('tau_h in component i_Na_h_gate (second)'); LEGEND_ALGEBRAIC(:,33) = strpad('E0_m in component i_Na_m_gate (mV)'); LEGEND_ALGEBRAIC(:,50) = strpad('alpha_m in component i_Na_m_gate (hertz)'); LEGEND_ALGEBRAIC(:,59) = strpad('beta_m in component i_Na_m_gate (hertz)'); LEGEND_CONSTANTS(:,75) = strpad('delta_m in component i_Na_m_gate (mV)'); LEGEND_ALGEBRAIC(:,64) = strpad('m_infinity in component i_Na_m_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,67) = strpad('tau_m in component i_Na_m_gate (second)'); LEGEND_CONSTANTS(:,76) = strpad('g_SK in component i_SK (uS)'); LEGEND_STATES(:,32) = strpad('x in component i_SK_x_gate (dimensionless)'); LEGEND_CONSTANTS(:,77) = strpad('EC50_SK in component i_SK_x_gate (mM)'); LEGEND_CONSTANTS(:,78) = strpad('n_SK in component i_SK_x_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,5) = strpad('tau_x in component i_SK_x_gate (second)'); LEGEND_ALGEBRAIC(:,9) = strpad('x_infinity in component i_SK_x_gate (dimensionless)'); LEGEND_CONSTANTS(:,79) = strpad('g_f_K in component i_f (uS)'); LEGEND_CONSTANTS(:,80) = strpad('g_f_Na in component i_f (uS)'); LEGEND_STATES(:,33) = strpad('y in component i_f_y_gate (dimensionless)'); LEGEND_CONSTANTS(:,102) = strpad('ACh_shift in component i_f_y_gate (mV)'); LEGEND_CONSTANTS(:,103) = strpad('Iso_shift in component i_f_y_gate (mV)'); LEGEND_ALGEBRAIC(:,34) = strpad('tau_y in component i_f_y_gate (second)'); LEGEND_ALGEBRAIC(:,51) = strpad('y_infinity in component i_f_y_gate (dimensionless)'); LEGEND_CONSTANTS(:,81) = strpad('y_shift in component i_f_y_gate (mV)'); LEGEND_CONSTANTS(:,82) = strpad('g_to in component i_to (uS)'); LEGEND_STATES(:,34) = strpad('q in component i_to_q_gate (dimensionless)'); LEGEND_STATES(:,35) = strpad('r in component i_to_r_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,35) = strpad('q_infinity in component i_to_q_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,52) = strpad('tau_q in component i_to_q_gate (second)'); LEGEND_ALGEBRAIC(:,36) = strpad('r_infinity in component i_to_r_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,53) = strpad('tau_r in component i_to_r_gate (second)'); LEGEND_RATES(:,3) = strpad('d/dt I in component Ca_SR_release (dimensionless)'); LEGEND_RATES(:,4) = strpad('d/dt O in component Ca_SR_release (dimensionless)'); LEGEND_RATES(:,5) = strpad('d/dt R in component Ca_SR_release (dimensionless)'); LEGEND_RATES(:,6) = strpad('d/dt RI in component Ca_SR_release (dimensionless)'); LEGEND_RATES(:,8) = strpad('d/dt fCMi in component Ca_buffering (dimensionless)'); LEGEND_RATES(:,9) = strpad('d/dt fCMs in component Ca_buffering (dimensionless)'); LEGEND_RATES(:,10) = strpad('d/dt fCQ in component Ca_buffering (dimensionless)'); LEGEND_RATES(:,11) = strpad('d/dt fTC in component Ca_buffering (dimensionless)'); LEGEND_RATES(:,12) = strpad('d/dt fTMC in component Ca_buffering (dimensionless)'); LEGEND_RATES(:,13) = strpad('d/dt fTMM in component Ca_buffering (dimensionless)'); LEGEND_RATES(:,1) = strpad('d/dt Ca_jsr in component Ca_dynamics (mM)'); LEGEND_RATES(:,14) = strpad('d/dt Ca_nsr in component Ca_dynamics (mM)'); LEGEND_RATES(:,2) = strpad('d/dt Ca_sub in component Ca_dynamics (mM)'); LEGEND_RATES(:,7) = strpad('d/dt Cai in component Ca_dynamics (mM)'); LEGEND_RATES(:,15) = strpad('d/dt Ki in component Ki_concentration (mM)'); LEGEND_RATES(:,17) = strpad('d/dt V_ode in component Membrane (mV)'); LEGEND_RATES(:,16) = strpad('d/dt Nai in component Nai_concentration (mM)'); LEGEND_RATES(:,18) = strpad('d/dt dL in component i_CaL_dL_gate (dimensionless)'); LEGEND_RATES(:,19) = strpad('d/dt fCa in component i_CaL_fCa_gate (dimensionless)'); LEGEND_RATES(:,20) = strpad('d/dt fL in component i_CaL_fL_gate (dimensionless)'); LEGEND_RATES(:,21) = strpad('d/dt dT in component i_CaT_dT_gate (dimensionless)'); LEGEND_RATES(:,22) = strpad('d/dt fT in component i_CaT_fT_gate (dimensionless)'); LEGEND_RATES(:,23) = strpad('d/dt a in component i_KACh_a_gate (dimensionless)'); LEGEND_RATES(:,24) = strpad('d/dt paF in component i_Kr_pa_gate (dimensionless)'); LEGEND_RATES(:,25) = strpad('d/dt paS in component i_Kr_pa_gate (dimensionless)'); LEGEND_RATES(:,26) = strpad('d/dt piy in component i_Kr_pi_gate (dimensionless)'); LEGEND_RATES(:,27) = strpad('d/dt n in component i_Ks_n_gate (dimensionless)'); LEGEND_RATES(:,28) = strpad('d/dt r_Kur in component i_Kur_rKur_gate (dimensionless)'); LEGEND_RATES(:,29) = strpad('d/dt s_Kur in component i_Kur_sKur_gate (dimensionless)'); LEGEND_RATES(:,30) = strpad('d/dt h in component i_Na_h_gate (dimensionless)'); LEGEND_RATES(:,31) = strpad('d/dt m in component i_Na_m_gate (dimensionless)'); LEGEND_RATES(:,32) = strpad('d/dt x in component i_SK_x_gate (dimensionless)'); LEGEND_RATES(:,33) = strpad('d/dt y in component i_f_y_gate (dimensionless)'); LEGEND_RATES(:,34) = strpad('d/dt q in component i_to_q_gate (dimensionless)'); LEGEND_RATES(:,35) = strpad('d/dt r in component i_to_r_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) = 0.5869378; STATES(:,2) = 8.59587700000000057e-05; CONSTANTS(:,1) = 0.45; CONSTANTS(:,2) = 2.5; STATES(:,3) = 1.88065699999999987e-09; CONSTANTS(:,3) = 15.0; CONSTANTS(:,4) = 1.0; STATES(:,4) = 1.75000900000000001e-08; STATES(:,5) = 0.9004965; STATES(:,6) = 9.67726599999999965e-02; CONSTANTS(:,5) = 500.0; CONSTANTS(:,6) = 5.0; CONSTANTS(:,7) = 10000.0; CONSTANTS(:,8) = 660.0; CONSTANTS(:,9) = 1.48041085099999994e+08; CONSTANTS(:,10) = 0.045; CONSTANTS(:,11) = 10.0; STATES(:,7) = 1.26704600000000013e-04; CONSTANTS(:,12) = 2.5; CONSTANTS(:,13) = 0.031; CONSTANTS(:,14) = 0.062; STATES(:,8) = 0.2776014; STATES(:,9) = 0.206602; STATES(:,10) = 0.1878388; STATES(:,11) = 0.0246504; STATES(:,12) = 0.329845; STATES(:,13) = 0.5920168; CONSTANTS(:,15) = 542.0; CONSTANTS(:,16) = 445.0; CONSTANTS(:,17) = 446.0; CONSTANTS(:,18) = 7.51; CONSTANTS(:,19) = 751.0; CONSTANTS(:,20) = 1641986.0; CONSTANTS(:,21) = 175.4; CONSTANTS(:,22) = 88800.0; CONSTANTS(:,23) = 227700.0; CONSTANTS(:,24) = 2277.0; STATES(:,14) = 0.669119; CONSTANTS(:,25) = 9.64853414999999950e+04; CONSTANTS(:,26) = 0.0; CONSTANTS(:,27) = 0.0; CONSTANTS(:,28) = 2.86113000000000003e-04; CONSTANTS(:,29) = 5.0; CONSTANTS(:,30) = 5e-05; CONSTANTS(:,31) = 5.469e-05; CONSTANTS(:,32) = 0.04; CONSTANTS(:,33) = 67.0; CONSTANTS(:,34) = 0.02; CONSTANTS(:,35) = 3.9; CONSTANTS(:,36) = 0.46; CONSTANTS(:,37) = 0.0012; CONSTANTS(:,38) = 0.0116; CONSTANTS(:,39) = 1.8; STATES(:,15) = 139.1382; CONSTANTS(:,40) = 5.4; STATES(:,16) = 6.084085; CONSTANTS(:,41) = 140.0; CONSTANTS(:,42) = 5.7e-05; CONSTANTS(:,43) = 8314.472; CONSTANTS(:,44) = 310.0; STATES(:,17) = -4.61898999999999990e-02; CONSTANTS(:,45) = 0.5046812; STATES(:,18) = 1.40229900000000008e-03; STATES(:,19) = 0.7820265; STATES(:,20) = 0.9951828; CONSTANTS(:,46) = 5.854; CONSTANTS(:,47) = 0.000338; CONSTANTS(:,48) = 0.0075; CONSTANTS(:,49) = 5.1737; CONSTANTS(:,50) = 0.0; CONSTANTS(:,51) = 0.04132; STATES(:,21) = 0.192108; STATES(:,22) = 3.74674099999999996e-02; CONSTANTS(:,52) = 0.0; CONSTANTS(:,53) = 0.0; STATES(:,23) = 2.81845900000000016e-03; CONSTANTS(:,54) = 0.00345; STATES(:,24) = 8.34449800000000054e-03; STATES(:,25) = 0.3450797; STATES(:,26) = 0.7369347; CONSTANTS(:,55) = 8.63714000000000018e-04; STATES(:,27) = 0.1057902; CONSTANTS(:,56) = 7.062e-05; STATES(:,28) = 9.05902400000000059e-03; STATES(:,29) = 0.8655135; CONSTANTS(:,57) = 0.0223; CONSTANTS(:,58) = 0.0; STATES(:,30) = 5.20200199999999984e-03; STATES(:,31) = 0.3777047; CONSTANTS(:,59) = 395.3; CONSTANTS(:,60) = 1628.0; CONSTANTS(:,61) = 2.289; CONSTANTS(:,62) = 561.4; CONSTANTS(:,63) = 26.44; CONSTANTS(:,64) = 4.663; CONSTANTS(:,65) = 3.343; CONSTANTS(:,66) = 0.0207; CONSTANTS(:,67) = 26.44; CONSTANTS(:,68) = 3.663; CONSTANTS(:,69) = 0.1369; CONSTANTS(:,70) = 0.0; CONSTANTS(:,71) = 0.4315; CONSTANTS(:,72) = 1.4; CONSTANTS(:,73) = 14.0; CONSTANTS(:,74) = 0.137171; CONSTANTS(:,75) = 1e-05; CONSTANTS(:,76) = 0.000165; STATES(:,32) = 6.77693899999999988e-02; CONSTANTS(:,77) = 0.7; CONSTANTS(:,78) = 2.2; CONSTANTS(:,79) = 0.0117; CONSTANTS(:,80) = 0.00696; STATES(:,33) = 0.0103301; CONSTANTS(:,81) = 0.0; CONSTANTS(:,82) = 1.67347999999999998e-03; STATES(:,34) = 0.4735559; STATES(:,35) = 1.24570600000000007e-02; CONSTANTS(:,83) = piecewise({CONSTANTS(:,27)>0.00000, - 0.250000 , CONSTANTS(:,26)>0.00000, ( 0.700000.*CONSTANTS(:,26))./(9.00000e-05+CONSTANTS(:,26)) }, 0.00000); CONSTANTS(:,84) = ( ( 1.00000e-09.*3.14159).*power(CONSTANTS(:,35), 2.00000)).*CONSTANTS(:,33); CONSTANTS(:,85) = 0.00498910.*power((CONSTANTS(:,40)./5.40000), 1.0 ./ 2); CONSTANTS(:,86) = piecewise({CONSTANTS(:,27)>0.00000, 1.20000.*CONSTANTS(:,55) }, CONSTANTS(:,55)); CONSTANTS(:,87) = piecewise({CONSTANTS(:,27)>0.00000, 1.20000 }, 1.00000); CONSTANTS(:,88) = CONSTANTS(:,29).*(1.00000 - CONSTANTS(:,83)); CONSTANTS(:,89) = CONSTANTS(:,37).*CONSTANTS(:,84); CONSTANTS(:,90) = CONSTANTS(:,38).*CONSTANTS(:,84); CONSTANTS(:,91) = ( ( ( ( 1.00000e-09.*2.00000).*3.14159).*CONSTANTS(:,34)).*(CONSTANTS(:,35) - CONSTANTS(:,34)./2.00000)).*CONSTANTS(:,33); CONSTANTS(:,92) = CONSTANTS(:,36).*CONSTANTS(:,84) - CONSTANTS(:,91); CONSTANTS(:,93) = ( CONSTANTS(:,43).*CONSTANTS(:,44))./CONSTANTS(:,25); CONSTANTS(:,94) = ( 0.310000.*CONSTANTS(:,26))./(CONSTANTS(:,26)+9.00000e-05); CONSTANTS(:,95) = piecewise({CONSTANTS(:,27)>0.00000, 1.23000 }, 1.00000); CONSTANTS(:,96) = piecewise({CONSTANTS(:,27)>0.00000, - 8.00000 }, 0.00000); CONSTANTS(:,97) = piecewise({CONSTANTS(:,27)>0.00000, - 27.0000 }, 0.00000); CONSTANTS(:,98) = - 7.77130; CONSTANTS(:,99) = (3.59880 - 0.0256410)./(1.00000+1.21550e-06./power( 1.00000.*CONSTANTS(:,26), 1.69510))+0.0256410; CONSTANTS(:,100) = piecewise({CONSTANTS(:,27)>0.00000, - 14.0000 }, 0.00000); CONSTANTS(:,101) = CONSTANTS(:,41)./(CONSTANTS(:,64)+CONSTANTS(:,41)); CONSTANTS(:,102) = piecewise({CONSTANTS(:,26)>0.00000, - 1.00000 - ( 9.89800.*power( 1.00000.*CONSTANTS(:,26), 0.618000))./(power( 1.00000.*CONSTANTS(:,26), 0.618000)+0.00122423) }, 0.00000); CONSTANTS(:,103) = piecewise({CONSTANTS(:,27)>0.00000, 7.50000 }, 0.00000); 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(:,3) = ( CONSTANTS(:,24).*CONSTANTS(:,12)).*(1.00000 - (STATES(:,12)+STATES(:,13))) - CONSTANTS(:,19).*STATES(:,13); RATES(:,13) = ALGEBRAIC(:,3); ALGEBRAIC(:,7) = ( CONSTANTS(:,20).*STATES(:,7)).*(1.00000 - STATES(:,8)) - CONSTANTS(:,15).*STATES(:,8); RATES(:,8) = ALGEBRAIC(:,7); ALGEBRAIC(:,4) = CONSTANTS(:,47)./(CONSTANTS(:,47)+STATES(:,2)); ALGEBRAIC(:,8) = ( 0.00100000.*ALGEBRAIC(:,4))./CONSTANTS(:,48); RATES(:,19) = (ALGEBRAIC(:,4) - STATES(:,19))./ALGEBRAIC(:,8); ALGEBRAIC(:,5) = 0.00100000./( 0.0470000.*(( 1000.00.*STATES(:,2))./1.00000)+1.00000./76.0000); ALGEBRAIC(:,9) = ( 0.810000.*power(STATES(:,2)./1.00000, CONSTANTS(:,78)))./(power(STATES(:,2)./1.00000, CONSTANTS(:,78))+power(CONSTANTS(:,77)./1.00000, CONSTANTS(:,78))); RATES(:,32) = (ALGEBRAIC(:,9) - STATES(:,32))./ALGEBRAIC(:,5); ALGEBRAIC(:,1) = CONSTANTS(:,3) - (CONSTANTS(:,3) - CONSTANTS(:,4))./(1.00000+power(CONSTANTS(:,1)./STATES(:,1), CONSTANTS(:,2))); ALGEBRAIC(:,6) = CONSTANTS(:,5).*ALGEBRAIC(:,1); ALGEBRAIC(:,10) = CONSTANTS(:,7)./ALGEBRAIC(:,1); RATES(:,3) = ( ( ALGEBRAIC(:,6).*STATES(:,2)).*STATES(:,4) - CONSTANTS(:,6).*STATES(:,3)) - ( CONSTANTS(:,8).*STATES(:,3) - ( ALGEBRAIC(:,10).*power(STATES(:,2), 2.00000)).*STATES(:,6)); RATES(:,4) = ( ( ALGEBRAIC(:,10).*power(STATES(:,2), 2.00000)).*STATES(:,5) - CONSTANTS(:,8).*STATES(:,4)) - ( ( ALGEBRAIC(:,6).*STATES(:,2)).*STATES(:,4) - CONSTANTS(:,6).*STATES(:,3)); RATES(:,5) = ( CONSTANTS(:,6).*STATES(:,6) - ( ALGEBRAIC(:,6).*STATES(:,2)).*STATES(:,5)) - ( ( ALGEBRAIC(:,10).*power(STATES(:,2), 2.00000)).*STATES(:,5) - CONSTANTS(:,8).*STATES(:,4)); RATES(:,6) = ( CONSTANTS(:,8).*STATES(:,3) - ( ALGEBRAIC(:,10).*power(STATES(:,2), 2.00000)).*STATES(:,6)) - ( CONSTANTS(:,6).*STATES(:,6) - ( ALGEBRAIC(:,6).*STATES(:,2)).*STATES(:,5)); ALGEBRAIC(:,11) = ( CONSTANTS(:,20).*STATES(:,2)).*(1.00000 - STATES(:,9)) - CONSTANTS(:,15).*STATES(:,9); RATES(:,9) = ALGEBRAIC(:,11); ALGEBRAIC(:,12) = ( CONSTANTS(:,21).*STATES(:,1)).*(1.00000 - STATES(:,10)) - CONSTANTS(:,16).*STATES(:,10); RATES(:,10) = ALGEBRAIC(:,12); ALGEBRAIC(:,13) = ( CONSTANTS(:,22).*STATES(:,7)).*(1.00000 - STATES(:,11)) - CONSTANTS(:,17).*STATES(:,11); RATES(:,11) = ALGEBRAIC(:,13); ALGEBRAIC(:,14) = ( CONSTANTS(:,23).*STATES(:,7)).*(1.00000 - (STATES(:,12)+STATES(:,13))) - CONSTANTS(:,18).*STATES(:,12); RATES(:,12) = ALGEBRAIC(:,14); ALGEBRAIC(:,2) = ( CONSTANTS(:,9).*STATES(:,4)).*(STATES(:,1) - STATES(:,2)); ALGEBRAIC(:,16) = (STATES(:,14) - STATES(:,1))./CONSTANTS(:,32); RATES(:,1) = ALGEBRAIC(:,16) - (ALGEBRAIC(:,2)+ CONSTANTS(:,11).*ALGEBRAIC(:,12)); ALGEBRAIC(:,18) = CONSTANTS(:,88)./(1.00000+exp(( - STATES(:,7)+CONSTANTS(:,28))./CONSTANTS(:,30))); RATES(:,14) = ALGEBRAIC(:,18) - ( ALGEBRAIC(:,16).*CONSTANTS(:,89))./CONSTANTS(:,90); ALGEBRAIC(:,15) = (STATES(:,2) - STATES(:,7))./CONSTANTS(:,31); RATES(:,7) = ( 1.00000.*( ALGEBRAIC(:,15).*CONSTANTS(:,91) - ALGEBRAIC(:,18).*CONSTANTS(:,90)))./CONSTANTS(:,92) - (( CONSTANTS(:,10).*ALGEBRAIC(:,7)+ CONSTANTS(:,13).*ALGEBRAIC(:,13))+ CONSTANTS(:,14).*ALGEBRAIC(:,14)); ALGEBRAIC(:,20) = STATES(:,17); ALGEBRAIC(:,23) = 1.00000./(1.00000+exp(((ALGEBRAIC(:,20)+12.1847)+CONSTANTS(:,50))./(5.30000+CONSTANTS(:,49)))); ALGEBRAIC(:,39) = 0.00100000.*(44.3000+ 230.000.*exp( - power((ALGEBRAIC(:,20)+36.0000)./10.0000, 2.00000))); RATES(:,20) = (ALGEBRAIC(:,23) - STATES(:,20))./ALGEBRAIC(:,39); ALGEBRAIC(:,24) = 1.00000./(1.00000+exp( - (ALGEBRAIC(:,20)+38.3000)./5.50000)); ALGEBRAIC(:,40) = 0.00100000./( 1.06800.*exp((ALGEBRAIC(:,20)+38.3000)./30.0000)+ 1.06800.*exp( - (ALGEBRAIC(:,20)+38.3000)./30.0000)); RATES(:,21) = (ALGEBRAIC(:,24) - STATES(:,21))./ALGEBRAIC(:,40); ALGEBRAIC(:,25) = 1.00000./(1.00000+exp((ALGEBRAIC(:,20)+58.7000)./3.80000)); ALGEBRAIC(:,41) = 1.00000./( 16.6700.*exp( - (ALGEBRAIC(:,20)+75.0000)./83.3000)+ 16.6700.*exp((ALGEBRAIC(:,20)+75.0000)./15.3800))+CONSTANTS(:,52); RATES(:,22) = (ALGEBRAIC(:,25) - STATES(:,22))./ALGEBRAIC(:,41); ALGEBRAIC(:,27) = 1.00000./(1.00000+exp( - (ALGEBRAIC(:,20)+10.0144)./7.66070)); ALGEBRAIC(:,43) = 1.00000./( 30.0000.*exp(ALGEBRAIC(:,20)./10.0000)+exp( - ALGEBRAIC(:,20)./12.0000)); RATES(:,24) = (ALGEBRAIC(:,27) - STATES(:,24))./ALGEBRAIC(:,43); ALGEBRAIC(:,44) = 0.846554./( 4.20000.*exp(ALGEBRAIC(:,20)./17.0000)+ 0.150000.*exp( - ALGEBRAIC(:,20)./21.6000)); RATES(:,25) = (ALGEBRAIC(:,27) - STATES(:,25))./ALGEBRAIC(:,44); ALGEBRAIC(:,28) = 1.00000./(1.00000+exp((ALGEBRAIC(:,20)+28.6000)./17.1000)); ALGEBRAIC(:,45) = 1.00000./( 100.000.*exp( - ALGEBRAIC(:,20)./54.6450)+ 656.000.*exp(ALGEBRAIC(:,20)./106.157)); RATES(:,26) = (ALGEBRAIC(:,28) - STATES(:,26))./ALGEBRAIC(:,45); ALGEBRAIC(:,30) = 1.00000./(1.00000+exp((ALGEBRAIC(:,20)+6.00000)./ - 8.60000)); ALGEBRAIC(:,47) = 0.00900000./(1.00000+exp((ALGEBRAIC(:,20)+5.00000)./12.0000))+0.000500000; RATES(:,28) = (ALGEBRAIC(:,30) - STATES(:,28))./ALGEBRAIC(:,47); ALGEBRAIC(:,31) = 1.00000./(1.00000+exp((ALGEBRAIC(:,20)+7.50000)./10.0000)); ALGEBRAIC(:,48) = 0.590000./(1.00000+exp((ALGEBRAIC(:,20)+60.0000)./10.0000))+3.05000; RATES(:,29) = (ALGEBRAIC(:,31) - STATES(:,29))./ALGEBRAIC(:,48); ALGEBRAIC(:,34) = 1.00000./(( 0.360000.*(((ALGEBRAIC(:,20)+148.800) - CONSTANTS(:,102)) - CONSTANTS(:,103)))./(exp( 0.0660000.*(((ALGEBRAIC(:,20)+148.800) - CONSTANTS(:,102)) - CONSTANTS(:,103))) - 1.00000)+( 0.100000.*(((ALGEBRAIC(:,20)+87.3000) - CONSTANTS(:,102)) - CONSTANTS(:,103)))./(1.00000 - exp( - 0.200000.*(((ALGEBRAIC(:,20)+87.3000) - CONSTANTS(:,102)) - CONSTANTS(:,103))))) - 0.0540000; ALGEBRAIC(:,51) = piecewise({ALGEBRAIC(:,20)< - (((80.0000 - CONSTANTS(:,102)) - CONSTANTS(:,103)) - CONSTANTS(:,81)), 0.0132900+0.999210./(1.00000+exp(((((ALGEBRAIC(:,20)+97.1340) - CONSTANTS(:,102)) - CONSTANTS(:,103)) - CONSTANTS(:,81))./8.17520)) }, 0.000250100.*exp( - (((ALGEBRAIC(:,20) - CONSTANTS(:,102)) - CONSTANTS(:,103)) - CONSTANTS(:,81))./12.8610)); RATES(:,33) = (ALGEBRAIC(:,51) - STATES(:,33))./ALGEBRAIC(:,34); ALGEBRAIC(:,35) = 1.00000./(1.00000+exp((ALGEBRAIC(:,20)+49.0000)./13.0000)); ALGEBRAIC(:,52) = ( 0.00100000.*0.600000).*(65.1700./( 0.570000.*exp( - 0.0800000.*(ALGEBRAIC(:,20)+44.0000))+ 0.0650000.*exp( 0.100000.*(ALGEBRAIC(:,20)+45.9300)))+10.1000); RATES(:,34) = (ALGEBRAIC(:,35) - STATES(:,34))./ALGEBRAIC(:,52); ALGEBRAIC(:,36) = 1.00000./(1.00000+exp( - (ALGEBRAIC(:,20) - 19.3000)./15.0000)); ALGEBRAIC(:,53) = ( ( 0.00100000.*0.660000).*1.40000).*(15.5900./( 1.03700.*exp( 0.0900000.*(ALGEBRAIC(:,20)+30.6100))+ 0.369000.*exp( - 0.120000.*(ALGEBRAIC(:,20)+23.8400)))+2.98000); RATES(:,35) = (ALGEBRAIC(:,36) - STATES(:,35))./ALGEBRAIC(:,53); ALGEBRAIC(:,26) = 10.0000.*exp( 0.0133000.*(ALGEBRAIC(:,20)+40.0000)); ALGEBRAIC(:,42) = CONSTANTS(:,99)./(CONSTANTS(:,99)+ALGEBRAIC(:,26)); ALGEBRAIC(:,56) = 1.00000./(CONSTANTS(:,99)+ALGEBRAIC(:,26)); RATES(:,23) = (ALGEBRAIC(:,42) - STATES(:,23))./ALGEBRAIC(:,56); ALGEBRAIC(:,57) = power((1.00000./(1.00000+exp( - ((ALGEBRAIC(:,20)+0.638300) - CONSTANTS(:,100))./10.7071))), 1.0 ./ 2); ALGEBRAIC(:,29) = 28.0000./(1.00000+exp( - ((ALGEBRAIC(:,20) - 40.0000) - CONSTANTS(:,100))./3.00000)); ALGEBRAIC(:,46) = 1.00000.*exp( - ((ALGEBRAIC(:,20) - CONSTANTS(:,100)) - 5.00000)./25.0000); ALGEBRAIC(:,62) = 1.00000./(ALGEBRAIC(:,29)+ALGEBRAIC(:,46)); RATES(:,27) = (ALGEBRAIC(:,57) - STATES(:,27))./ALGEBRAIC(:,62); ALGEBRAIC(:,58) = 1.00000./(1.00000+exp((ALGEBRAIC(:,20)+69.8040)./4.45650)); ALGEBRAIC(:,32) = 20.0000.*exp( - 0.125000.*(ALGEBRAIC(:,20)+75.0000)); ALGEBRAIC(:,49) = 2000.00./( 320.000.*exp( - 0.100000.*(ALGEBRAIC(:,20)+75.0000))+1.00000); ALGEBRAIC(:,63) = 1.00000./(ALGEBRAIC(:,32)+ALGEBRAIC(:,49)); RATES(:,30) = (ALGEBRAIC(:,58) - STATES(:,30))./ALGEBRAIC(:,63); ALGEBRAIC(:,64) = 1.00000./(1.00000+exp( - (ALGEBRAIC(:,20)+42.0504)./8.31060)); ALGEBRAIC(:,33) = ALGEBRAIC(:,20)+41.0000; ALGEBRAIC(:,50) = piecewise({abs(ALGEBRAIC(:,33))0.00000, ( ( ( CONSTANTS(:,53).*CONSTANTS(:,54)).*(ALGEBRAIC(:,20) - ALGEBRAIC(:,17))).*(1.00000+exp((ALGEBRAIC(:,20)+20.0000)./20.0000))).*STATES(:,23) }, 0.00000); ALGEBRAIC(:,96) = ALGEBRAIC(:,95)+ALGEBRAIC(:,94); ALGEBRAIC(:,98) = ((((((((((ALGEBRAIC(:,96)+ALGEBRAIC(:,70))+ALGEBRAIC(:,72))+ALGEBRAIC(:,97))+ALGEBRAIC(:,92))+ALGEBRAIC(:,91))+ALGEBRAIC(:,77))+ALGEBRAIC(:,60))+ALGEBRAIC(:,65))+ALGEBRAIC(:,68))+ALGEBRAIC(:,73))+ALGEBRAIC(:,93); RATES(:,17) = - ALGEBRAIC(:,98)./CONSTANTS(:,42); 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(:,3) = ( CONSTANTS(:,24).*CONSTANTS(:,12)).*(1.00000 - (STATES(:,12)+STATES(:,13))) - CONSTANTS(:,19).*STATES(:,13); ALGEBRAIC(:,7) = ( CONSTANTS(:,20).*STATES(:,7)).*(1.00000 - STATES(:,8)) - CONSTANTS(:,15).*STATES(:,8); ALGEBRAIC(:,4) = CONSTANTS(:,47)./(CONSTANTS(:,47)+STATES(:,2)); ALGEBRAIC(:,8) = ( 0.00100000.*ALGEBRAIC(:,4))./CONSTANTS(:,48); ALGEBRAIC(:,5) = 0.00100000./( 0.0470000.*(( 1000.00.*STATES(:,2))./1.00000)+1.00000./76.0000); ALGEBRAIC(:,9) = ( 0.810000.*power(STATES(:,2)./1.00000, CONSTANTS(:,78)))./(power(STATES(:,2)./1.00000, CONSTANTS(:,78))+power(CONSTANTS(:,77)./1.00000, CONSTANTS(:,78))); ALGEBRAIC(:,1) = CONSTANTS(:,3) - (CONSTANTS(:,3) - CONSTANTS(:,4))./(1.00000+power(CONSTANTS(:,1)./STATES(:,1), CONSTANTS(:,2))); ALGEBRAIC(:,6) = CONSTANTS(:,5).*ALGEBRAIC(:,1); ALGEBRAIC(:,10) = CONSTANTS(:,7)./ALGEBRAIC(:,1); ALGEBRAIC(:,11) = ( CONSTANTS(:,20).*STATES(:,2)).*(1.00000 - STATES(:,9)) - CONSTANTS(:,15).*STATES(:,9); ALGEBRAIC(:,12) = ( CONSTANTS(:,21).*STATES(:,1)).*(1.00000 - STATES(:,10)) - CONSTANTS(:,16).*STATES(:,10); ALGEBRAIC(:,13) = ( CONSTANTS(:,22).*STATES(:,7)).*(1.00000 - STATES(:,11)) - CONSTANTS(:,17).*STATES(:,11); ALGEBRAIC(:,14) = ( CONSTANTS(:,23).*STATES(:,7)).*(1.00000 - (STATES(:,12)+STATES(:,13))) - CONSTANTS(:,18).*STATES(:,12); ALGEBRAIC(:,2) = ( CONSTANTS(:,9).*STATES(:,4)).*(STATES(:,1) - STATES(:,2)); ALGEBRAIC(:,16) = (STATES(:,14) - STATES(:,1))./CONSTANTS(:,32); ALGEBRAIC(:,18) = CONSTANTS(:,88)./(1.00000+exp(( - STATES(:,7)+CONSTANTS(:,28))./CONSTANTS(:,30))); ALGEBRAIC(:,15) = (STATES(:,2) - STATES(:,7))./CONSTANTS(:,31); ALGEBRAIC(:,20) = STATES(:,17); ALGEBRAIC(:,23) = 1.00000./(1.00000+exp(((ALGEBRAIC(:,20)+12.1847)+CONSTANTS(:,50))./(5.30000+CONSTANTS(:,49)))); ALGEBRAIC(:,39) = 0.00100000.*(44.3000+ 230.000.*exp( - power((ALGEBRAIC(:,20)+36.0000)./10.0000, 2.00000))); ALGEBRAIC(:,24) = 1.00000./(1.00000+exp( - (ALGEBRAIC(:,20)+38.3000)./5.50000)); ALGEBRAIC(:,40) = 0.00100000./( 1.06800.*exp((ALGEBRAIC(:,20)+38.3000)./30.0000)+ 1.06800.*exp( - (ALGEBRAIC(:,20)+38.3000)./30.0000)); ALGEBRAIC(:,25) = 1.00000./(1.00000+exp((ALGEBRAIC(:,20)+58.7000)./3.80000)); ALGEBRAIC(:,41) = 1.00000./( 16.6700.*exp( - (ALGEBRAIC(:,20)+75.0000)./83.3000)+ 16.6700.*exp((ALGEBRAIC(:,20)+75.0000)./15.3800))+CONSTANTS(:,52); ALGEBRAIC(:,27) = 1.00000./(1.00000+exp( - (ALGEBRAIC(:,20)+10.0144)./7.66070)); ALGEBRAIC(:,43) = 1.00000./( 30.0000.*exp(ALGEBRAIC(:,20)./10.0000)+exp( - ALGEBRAIC(:,20)./12.0000)); ALGEBRAIC(:,44) = 0.846554./( 4.20000.*exp(ALGEBRAIC(:,20)./17.0000)+ 0.150000.*exp( - ALGEBRAIC(:,20)./21.6000)); ALGEBRAIC(:,28) = 1.00000./(1.00000+exp((ALGEBRAIC(:,20)+28.6000)./17.1000)); ALGEBRAIC(:,45) = 1.00000./( 100.000.*exp( - ALGEBRAIC(:,20)./54.6450)+ 656.000.*exp(ALGEBRAIC(:,20)./106.157)); ALGEBRAIC(:,30) = 1.00000./(1.00000+exp((ALGEBRAIC(:,20)+6.00000)./ - 8.60000)); ALGEBRAIC(:,47) = 0.00900000./(1.00000+exp((ALGEBRAIC(:,20)+5.00000)./12.0000))+0.000500000; ALGEBRAIC(:,31) = 1.00000./(1.00000+exp((ALGEBRAIC(:,20)+7.50000)./10.0000)); ALGEBRAIC(:,48) = 0.590000./(1.00000+exp((ALGEBRAIC(:,20)+60.0000)./10.0000))+3.05000; ALGEBRAIC(:,34) = 1.00000./(( 0.360000.*(((ALGEBRAIC(:,20)+148.800) - CONSTANTS(:,102)) - CONSTANTS(:,103)))./(exp( 0.0660000.*(((ALGEBRAIC(:,20)+148.800) - CONSTANTS(:,102)) - CONSTANTS(:,103))) - 1.00000)+( 0.100000.*(((ALGEBRAIC(:,20)+87.3000) - CONSTANTS(:,102)) - CONSTANTS(:,103)))./(1.00000 - exp( - 0.200000.*(((ALGEBRAIC(:,20)+87.3000) - CONSTANTS(:,102)) - CONSTANTS(:,103))))) - 0.0540000; ALGEBRAIC(:,51) = piecewise({ALGEBRAIC(:,20)< - (((80.0000 - CONSTANTS(:,102)) - CONSTANTS(:,103)) - CONSTANTS(:,81)), 0.0132900+0.999210./(1.00000+exp(((((ALGEBRAIC(:,20)+97.1340) - CONSTANTS(:,102)) - CONSTANTS(:,103)) - CONSTANTS(:,81))./8.17520)) }, 0.000250100.*exp( - (((ALGEBRAIC(:,20) - CONSTANTS(:,102)) - CONSTANTS(:,103)) - CONSTANTS(:,81))./12.8610)); ALGEBRAIC(:,35) = 1.00000./(1.00000+exp((ALGEBRAIC(:,20)+49.0000)./13.0000)); ALGEBRAIC(:,52) = ( 0.00100000.*0.600000).*(65.1700./( 0.570000.*exp( - 0.0800000.*(ALGEBRAIC(:,20)+44.0000))+ 0.0650000.*exp( 0.100000.*(ALGEBRAIC(:,20)+45.9300)))+10.1000); ALGEBRAIC(:,36) = 1.00000./(1.00000+exp( - (ALGEBRAIC(:,20) - 19.3000)./15.0000)); ALGEBRAIC(:,53) = ( ( 0.00100000.*0.660000).*1.40000).*(15.5900./( 1.03700.*exp( 0.0900000.*(ALGEBRAIC(:,20)+30.6100))+ 0.369000.*exp( - 0.120000.*(ALGEBRAIC(:,20)+23.8400)))+2.98000); ALGEBRAIC(:,26) = 10.0000.*exp( 0.0133000.*(ALGEBRAIC(:,20)+40.0000)); ALGEBRAIC(:,42) = CONSTANTS(:,99)./(CONSTANTS(:,99)+ALGEBRAIC(:,26)); ALGEBRAIC(:,56) = 1.00000./(CONSTANTS(:,99)+ALGEBRAIC(:,26)); ALGEBRAIC(:,57) = power((1.00000./(1.00000+exp( - ((ALGEBRAIC(:,20)+0.638300) - CONSTANTS(:,100))./10.7071))), 1.0 ./ 2); ALGEBRAIC(:,29) = 28.0000./(1.00000+exp( - ((ALGEBRAIC(:,20) - 40.0000) - CONSTANTS(:,100))./3.00000)); ALGEBRAIC(:,46) = 1.00000.*exp( - ((ALGEBRAIC(:,20) - CONSTANTS(:,100)) - 5.00000)./25.0000); ALGEBRAIC(:,62) = 1.00000./(ALGEBRAIC(:,29)+ALGEBRAIC(:,46)); ALGEBRAIC(:,58) = 1.00000./(1.00000+exp((ALGEBRAIC(:,20)+69.8040)./4.45650)); ALGEBRAIC(:,32) = 20.0000.*exp( - 0.125000.*(ALGEBRAIC(:,20)+75.0000)); ALGEBRAIC(:,49) = 2000.00./( 320.000.*exp( - 0.100000.*(ALGEBRAIC(:,20)+75.0000))+1.00000); ALGEBRAIC(:,63) = 1.00000./(ALGEBRAIC(:,32)+ALGEBRAIC(:,49)); ALGEBRAIC(:,64) = 1.00000./(1.00000+exp( - (ALGEBRAIC(:,20)+42.0504)./8.31060)); ALGEBRAIC(:,33) = ALGEBRAIC(:,20)+41.0000; ALGEBRAIC(:,50) = piecewise({abs(ALGEBRAIC(:,33))0.00000, ( ( ( CONSTANTS(:,53).*CONSTANTS(:,54)).*(ALGEBRAIC(:,20) - ALGEBRAIC(:,17))).*(1.00000+exp((ALGEBRAIC(:,20)+20.0000)./20.0000))).*STATES(:,23) }, 0.00000); ALGEBRAIC(:,96) = ALGEBRAIC(:,95)+ALGEBRAIC(:,94); ALGEBRAIC(:,98) = ((((((((((ALGEBRAIC(:,96)+ALGEBRAIC(:,70))+ALGEBRAIC(:,72))+ALGEBRAIC(:,97))+ALGEBRAIC(:,92))+ALGEBRAIC(:,91))+ALGEBRAIC(:,77))+ALGEBRAIC(:,60))+ALGEBRAIC(:,65))+ALGEBRAIC(:,68))+ALGEBRAIC(:,73))+ALGEBRAIC(:,93); 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