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 =79; end % There are a total of 25 entries in each of the rate and state variable arrays. % There are a total of 75 entries in the constant variable array. % function [VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel() % Create ALGEBRAIC of correct size global algebraicVariableCount; algebraicVariableCount = getAlgebraicVariableCount(); % Initialise constants and state variables [INIT_STATES, CONSTANTS] = initConsts; % Set timespan to solve over tspan = [0, 10]; % Set numerical accuracy options for ODE solver options = odeset('RelTol', 1e-06, 'AbsTol', 1e-06, 'MaxStep', 1); % Solve model with ODE solver [VOI, STATES] = ode15s(@(VOI, STATES)computeRates(VOI, STATES, CONSTANTS), tspan, INIT_STATES, options); % Compute algebraic variables [RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS); ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI); % Plot state variables against variable of integration [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends(); figure(); plot(VOI, STATES); xlabel(LEGEND_VOI); l = legend(LEGEND_STATES); set(l,'Interpreter','none'); end function [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends() LEGEND_STATES = ''; LEGEND_ALGEBRAIC = ''; LEGEND_VOI = ''; LEGEND_CONSTANTS = ''; LEGEND_VOI = strpad('time in component environment (ms)'); LEGEND_STATES(:,1) = strpad('V in component membrane (millivolt)'); 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_ALGEBRAIC(:,13) = strpad('I_st in component membrane (microA_per_microF)'); LEGEND_ALGEBRAIC(:,32) = strpad('i_Na in component fast_sodium_current (microA_per_microF)'); LEGEND_ALGEBRAIC(:,45) = strpad('i_Ca_L in component L_type_Ca_channel (microA_per_microF)'); LEGEND_ALGEBRAIC(:,64) = strpad('i_Ca_T in component T_type_Ca_channel (microA_per_microF)'); LEGEND_ALGEBRAIC(:,51) = strpad('i_Kr in component rapid_delayed_rectifier_potassium_current (microA_per_microF)'); LEGEND_ALGEBRAIC(:,49) = strpad('i_Ks in component slow_delayed_rectifier_potassium_current (microA_per_microF)'); LEGEND_ALGEBRAIC(:,58) = strpad('i_K_ATP in component ATP_sensitive_potassium_current (microA_per_microF)'); LEGEND_ALGEBRAIC(:,60) = strpad('i_to in component transient_outward_current (microA_per_microF)'); LEGEND_ALGEBRAIC(:,55) = strpad('i_K1 in component time_independent_potassium_current (microA_per_microF)'); LEGEND_ALGEBRAIC(:,57) = strpad('i_Kp in component plateau_potassium_current (microA_per_microF)'); LEGEND_ALGEBRAIC(:,61) = strpad('i_p_Ca in component sarcolemmal_calcium_pump (microA_per_microF)'); LEGEND_ALGEBRAIC(:,62) = strpad('i_Na_b in component sodium_background_current (microA_per_microF)'); LEGEND_ALGEBRAIC(:,65) = strpad('i_Ca_b in component calcium_background_current (microA_per_microF)'); LEGEND_ALGEBRAIC(:,67) = strpad('i_NaK in component sodium_potassium_pump (microA_per_microF)'); LEGEND_ALGEBRAIC(:,73) = strpad('i_NaCa in component Na_Ca_exchanger (microA_per_microF)'); LEGEND_ALGEBRAIC(:,72) = strpad('i_ns_Ca in component non_specific_calcium_activated_current (microA_per_microF)'); LEGEND_ALGEBRAIC(:,74) = strpad('dVdt in component membrane (millivolt_per_ms)'); LEGEND_CONSTANTS(:,4) = strpad('stim_start in component membrane (ms)'); LEGEND_CONSTANTS(:,5) = strpad('stim_end in component membrane (ms)'); LEGEND_CONSTANTS(:,6) = strpad('stim_period in component membrane (ms)'); LEGEND_CONSTANTS(:,7) = strpad('stim_duration in component membrane (ms)'); LEGEND_CONSTANTS(:,8) = strpad('stim_amplitude in component membrane (microA_per_microF)'); LEGEND_ALGEBRAIC(:,26) = strpad('E_Na in component fast_sodium_current (millivolt)'); LEGEND_CONSTANTS(:,9) = strpad('g_Na in component fast_sodium_current (milliS_per_microF)'); LEGEND_STATES(:,2) = strpad('Nai in component ionic_concentrations (millimolar)'); LEGEND_CONSTANTS(:,10) = strpad('Nao in component ionic_concentrations (millimolar)'); LEGEND_STATES(:,3) = strpad('m in component fast_sodium_current_m_gate (dimensionless)'); LEGEND_STATES(:,4) = strpad('h in component fast_sodium_current_h_gate (dimensionless)'); LEGEND_STATES(:,5) = strpad('j in component fast_sodium_current_j_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,14) = strpad('alpha_m in component fast_sodium_current_m_gate (per_ms)'); LEGEND_ALGEBRAIC(:,27) = strpad('beta_m in component fast_sodium_current_m_gate (per_ms)'); LEGEND_CONSTANTS(:,11) = strpad('delta_m in component fast_sodium_current_m_gate (millivolt)'); LEGEND_ALGEBRAIC(:,1) = strpad('E0_m in component fast_sodium_current_m_gate (millivolt)'); LEGEND_ALGEBRAIC(:,2) = strpad('alpha_h in component fast_sodium_current_h_gate (per_ms)'); LEGEND_ALGEBRAIC(:,15) = strpad('beta_h in component fast_sodium_current_h_gate (per_ms)'); LEGEND_ALGEBRAIC(:,3) = strpad('alpha_j in component fast_sodium_current_j_gate (per_ms)'); LEGEND_ALGEBRAIC(:,16) = strpad('beta_j in component fast_sodium_current_j_gate (per_ms)'); LEGEND_ALGEBRAIC(:,42) = strpad('i_CaCa in component L_type_Ca_channel (microA_per_microF)'); LEGEND_ALGEBRAIC(:,44) = strpad('i_CaK in component L_type_Ca_channel (microA_per_microF)'); LEGEND_ALGEBRAIC(:,43) = strpad('i_CaNa in component L_type_Ca_channel (microA_per_microF)'); LEGEND_CONSTANTS(:,12) = strpad('gamma_Nai in component L_type_Ca_channel (dimensionless)'); LEGEND_CONSTANTS(:,13) = strpad('gamma_Nao in component L_type_Ca_channel (dimensionless)'); LEGEND_CONSTANTS(:,14) = strpad('gamma_Ki in component L_type_Ca_channel (dimensionless)'); LEGEND_CONSTANTS(:,15) = strpad('gamma_Ko in component L_type_Ca_channel (dimensionless)'); LEGEND_ALGEBRAIC(:,37) = strpad('I_CaCa in component L_type_Ca_channel (microA_per_microF)'); LEGEND_ALGEBRAIC(:,40) = strpad('I_CaK in component L_type_Ca_channel (microA_per_microF)'); LEGEND_ALGEBRAIC(:,39) = strpad('I_CaNa in component L_type_Ca_channel (microA_per_microF)'); LEGEND_CONSTANTS(:,16) = strpad('P_Ca in component L_type_Ca_channel (litre_per_farad_ms)'); LEGEND_CONSTANTS(:,17) = strpad('P_Na in component L_type_Ca_channel (litre_per_farad_ms)'); LEGEND_CONSTANTS(:,18) = strpad('P_K in component L_type_Ca_channel (litre_per_farad_ms)'); LEGEND_CONSTANTS(:,19) = strpad('gamma_Cai in component L_type_Ca_channel (dimensionless)'); LEGEND_CONSTANTS(:,20) = strpad('gamma_Cao in component L_type_Ca_channel (dimensionless)'); LEGEND_STATES(:,6) = strpad('Cai in component calcium_dynamics (millimolar)'); LEGEND_CONSTANTS(:,21) = strpad('Cao in component calcium_dynamics (millimolar)'); LEGEND_CONSTANTS(:,22) = strpad('Ko in component ionic_concentrations (millimolar)'); LEGEND_STATES(:,7) = strpad('Ki in component ionic_concentrations (millimolar)'); LEGEND_STATES(:,8) = strpad('d in component L_type_Ca_channel_d_gate (dimensionless)'); LEGEND_STATES(:,9) = strpad('f in component L_type_Ca_channel_f_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,41) = strpad('f_Ca in component L_type_Ca_channel_f_Ca_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,33) = strpad('alpha_d in component L_type_Ca_channel_d_gate (per_ms)'); LEGEND_ALGEBRAIC(:,38) = strpad('beta_d in component L_type_Ca_channel_d_gate (per_ms)'); LEGEND_ALGEBRAIC(:,17) = strpad('d_infinity in component L_type_Ca_channel_d_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,28) = strpad('tau_d in component L_type_Ca_channel_d_gate (ms)'); LEGEND_ALGEBRAIC(:,4) = strpad('E0_d in component L_type_Ca_channel_d_gate (millivolt)'); LEGEND_ALGEBRAIC(:,29) = strpad('alpha_f in component L_type_Ca_channel_f_gate (per_ms)'); LEGEND_ALGEBRAIC(:,34) = strpad('beta_f in component L_type_Ca_channel_f_gate (per_ms)'); LEGEND_ALGEBRAIC(:,5) = strpad('f_infinity in component L_type_Ca_channel_f_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,18) = strpad('tau_f in component L_type_Ca_channel_f_gate (ms)'); LEGEND_CONSTANTS(:,23) = strpad('Km_Ca in component L_type_Ca_channel_f_Ca_gate (millimolar)'); LEGEND_CONSTANTS(:,24) = strpad('g_CaT in component T_type_Ca_channel (milliS_per_microF)'); LEGEND_ALGEBRAIC(:,63) = strpad('E_Ca in component calcium_background_current (millivolt)'); LEGEND_STATES(:,10) = strpad('b in component T_type_Ca_channel_b_gate (dimensionless)'); LEGEND_STATES(:,11) = strpad('g in component T_type_Ca_channel_g_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,6) = strpad('b_inf in component T_type_Ca_channel_b_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,19) = strpad('tau_b in component T_type_Ca_channel_b_gate (ms)'); LEGEND_ALGEBRAIC(:,7) = strpad('g_inf in component T_type_Ca_channel_g_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,20) = strpad('tau_g in component T_type_Ca_channel_g_gate (ms)'); LEGEND_CONSTANTS(:,63) = strpad('g_Kr in component rapid_delayed_rectifier_potassium_current (milliS_per_microF)'); LEGEND_ALGEBRAIC(:,46) = strpad('Rect in component rapid_delayed_rectifier_potassium_current (dimensionless)'); LEGEND_ALGEBRAIC(:,50) = strpad('E_K in component time_independent_potassium_current (millivolt)'); LEGEND_STATES(:,12) = strpad('xr in component rapid_delayed_rectifier_potassium_current_xr_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,8) = strpad('xr_infinity in component rapid_delayed_rectifier_potassium_current_xr_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,21) = strpad('tau_xr in component rapid_delayed_rectifier_potassium_current_xr_gate (ms)'); LEGEND_ALGEBRAIC(:,48) = strpad('g_Ks in component slow_delayed_rectifier_potassium_current (milliS_per_microF)'); LEGEND_ALGEBRAIC(:,47) = strpad('E_Ks in component slow_delayed_rectifier_potassium_current (millivolt)'); LEGEND_CONSTANTS(:,25) = strpad('PNaK in component slow_delayed_rectifier_potassium_current (dimensionless)'); LEGEND_STATES(:,13) = strpad('xs1 in component slow_delayed_rectifier_potassium_current_xs1_gate (dimensionless)'); LEGEND_STATES(:,14) = strpad('xs2 in component slow_delayed_rectifier_potassium_current_xs2_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,9) = strpad('xs1_infinity in component slow_delayed_rectifier_potassium_current_xs1_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,22) = strpad('tau_xs1 in component slow_delayed_rectifier_potassium_current_xs1_gate (ms)'); LEGEND_ALGEBRAIC(:,10) = strpad('xs2_infinity in component slow_delayed_rectifier_potassium_current_xs2_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,23) = strpad('tau_xs2 in component slow_delayed_rectifier_potassium_current_xs2_gate (ms)'); LEGEND_CONSTANTS(:,64) = strpad('g_K1 in component time_independent_potassium_current (milliS_per_microF)'); LEGEND_ALGEBRAIC(:,54) = strpad('K1_infinity in component time_independent_potassium_current_K1_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,52) = strpad('alpha_K1 in component time_independent_potassium_current_K1_gate (per_ms)'); LEGEND_ALGEBRAIC(:,53) = strpad('beta_K1 in component time_independent_potassium_current_K1_gate (per_ms)'); LEGEND_CONSTANTS(:,26) = strpad('g_Kp in component plateau_potassium_current (milliS_per_microF)'); LEGEND_ALGEBRAIC(:,56) = strpad('Kp in component plateau_potassium_current (dimensionless)'); LEGEND_CONSTANTS(:,65) = strpad('g_K_ATP in component ATP_sensitive_potassium_current (milliS_per_microF)'); LEGEND_CONSTANTS(:,27) = strpad('nATP in component ATP_sensitive_potassium_current (dimensionless)'); LEGEND_CONSTANTS(:,28) = strpad('nicholsarea in component ATP_sensitive_potassium_current (dimensionless)'); LEGEND_CONSTANTS(:,29) = strpad('ATPi in component ATP_sensitive_potassium_current (millimolar)'); LEGEND_CONSTANTS(:,30) = strpad('hATP in component ATP_sensitive_potassium_current (dimensionless)'); LEGEND_CONSTANTS(:,31) = strpad('kATP in component ATP_sensitive_potassium_current (millimolar)'); LEGEND_CONSTANTS(:,71) = strpad('pATP in component ATP_sensitive_potassium_current (dimensionless)'); LEGEND_CONSTANTS(:,73) = strpad('GKbaraATP in component ATP_sensitive_potassium_current (milliS_per_microF)'); LEGEND_CONSTANTS(:,66) = strpad('g_to in component transient_outward_current (milliS_per_microF)'); LEGEND_ALGEBRAIC(:,59) = strpad('rvdv in component transient_outward_current (dimensionless)'); LEGEND_STATES(:,15) = strpad('zdv in component transient_outward_current_zdv_gate (dimensionless)'); LEGEND_STATES(:,16) = strpad('ydv in component transient_outward_current_ydv_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,11) = strpad('alpha_zdv in component transient_outward_current_zdv_gate (per_ms)'); LEGEND_ALGEBRAIC(:,24) = strpad('beta_zdv in component transient_outward_current_zdv_gate (per_ms)'); LEGEND_ALGEBRAIC(:,30) = strpad('tau_zdv in component transient_outward_current_zdv_gate (ms)'); LEGEND_ALGEBRAIC(:,35) = strpad('zdv_ss in component transient_outward_current_zdv_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,12) = strpad('alpha_ydv in component transient_outward_current_ydv_gate (per_ms)'); LEGEND_ALGEBRAIC(:,25) = strpad('beta_ydv in component transient_outward_current_ydv_gate (per_ms)'); LEGEND_ALGEBRAIC(:,31) = strpad('tau_ydv in component transient_outward_current_ydv_gate (ms)'); LEGEND_ALGEBRAIC(:,36) = strpad('ydv_ss in component transient_outward_current_ydv_gate (dimensionless)'); LEGEND_CONSTANTS(:,32) = strpad('K_mpCa in component sarcolemmal_calcium_pump (millimolar)'); LEGEND_CONSTANTS(:,33) = strpad('I_pCa in component sarcolemmal_calcium_pump (microA_per_microF)'); LEGEND_CONSTANTS(:,34) = strpad('g_Nab in component sodium_background_current (milliS_per_microF)'); LEGEND_CONSTANTS(:,35) = strpad('g_Cab in component calcium_background_current (milliS_per_microF)'); LEGEND_CONSTANTS(:,36) = strpad('I_NaK in component sodium_potassium_pump (microA_per_microF)'); LEGEND_ALGEBRAIC(:,66) = strpad('f_NaK in component sodium_potassium_pump (dimensionless)'); LEGEND_CONSTANTS(:,37) = strpad('K_mNai in component sodium_potassium_pump (millimolar)'); LEGEND_CONSTANTS(:,38) = strpad('K_mKo in component sodium_potassium_pump (millimolar)'); LEGEND_CONSTANTS(:,67) = strpad('sigma in component sodium_potassium_pump (dimensionless)'); LEGEND_ALGEBRAIC(:,70) = strpad('i_ns_Na in component non_specific_calcium_activated_current (microA_per_microF)'); LEGEND_ALGEBRAIC(:,71) = strpad('i_ns_K in component non_specific_calcium_activated_current (microA_per_microF)'); LEGEND_CONSTANTS(:,68) = strpad('P_ns_Ca in component non_specific_calcium_activated_current (litre_per_farad_ms)'); LEGEND_ALGEBRAIC(:,68) = strpad('I_ns_Na in component non_specific_calcium_activated_current (microA_per_microF)'); LEGEND_ALGEBRAIC(:,69) = strpad('I_ns_K in component non_specific_calcium_activated_current (microA_per_microF)'); LEGEND_CONSTANTS(:,39) = strpad('K_m_ns_Ca in component non_specific_calcium_activated_current (millimolar)'); LEGEND_CONSTANTS(:,40) = strpad('n_NaCa in component Na_Ca_exchanger (dimensionless)'); LEGEND_CONSTANTS(:,41) = strpad('K_NaCa in component Na_Ca_exchanger (microA_per_microF)'); LEGEND_CONSTANTS(:,42) = strpad('d_NaCa in component Na_Ca_exchanger (dimensionless)'); LEGEND_CONSTANTS(:,43) = strpad('gamma in component Na_Ca_exchanger (dimensionless)'); LEGEND_ALGEBRAIC(:,76) = strpad('i_rel in component calcium_dynamics (millimolar_per_ms)'); LEGEND_ALGEBRAIC(:,77) = strpad('i_up in component calcium_dynamics (millimolar_per_ms)'); LEGEND_ALGEBRAIC(:,78) = strpad('i_leak in component calcium_dynamics (millimolar_per_ms)'); LEGEND_ALGEBRAIC(:,79) = strpad('i_tr in component calcium_dynamics (millimolar_per_ms)'); LEGEND_ALGEBRAIC(:,75) = strpad('G_rel in component calcium_dynamics (per_ms)'); LEGEND_CONSTANTS(:,44) = strpad('G_rel_max in component calcium_dynamics (per_ms)'); LEGEND_CONSTANTS(:,45) = strpad('G_rel_overload in component calcium_dynamics (per_ms)'); LEGEND_CONSTANTS(:,46) = strpad('tau_tr in component calcium_dynamics (ms)'); LEGEND_CONSTANTS(:,47) = strpad('K_mrel in component calcium_dynamics (millimolar)'); LEGEND_CONSTANTS(:,48) = strpad('delta_Ca_ith in component calcium_dynamics (millimolar)'); LEGEND_CONSTANTS(:,49) = strpad('CSQN_max in component calcium_dynamics (millimolar)'); LEGEND_CONSTANTS(:,50) = strpad('K_mCSQN in component calcium_dynamics (millimolar)'); LEGEND_CONSTANTS(:,51) = strpad('K_mup in component calcium_dynamics (millimolar)'); LEGEND_CONSTANTS(:,69) = strpad('K_leak in component calcium_dynamics (per_ms)'); LEGEND_CONSTANTS(:,52) = strpad('I_up in component calcium_dynamics (millimolar_per_ms)'); LEGEND_CONSTANTS(:,53) = strpad('Ca_NSR_max in component calcium_dynamics (millimolar)'); LEGEND_STATES(:,17) = strpad('Ca_JSR in component calcium_dynamics (millimolar)'); LEGEND_STATES(:,18) = strpad('Ca_NSR in component calcium_dynamics (millimolar)'); LEGEND_CONSTANTS(:,72) = strpad('V_myo in component ionic_concentrations (micro_litre)'); LEGEND_CONSTANTS(:,54) = strpad('A_cap in component ionic_concentrations (cm2)'); LEGEND_CONSTANTS(:,74) = strpad('V_JSR in component calcium_dynamics (micro_litre)'); LEGEND_CONSTANTS(:,75) = strpad('V_NSR in component calcium_dynamics (micro_litre)'); LEGEND_CONSTANTS(:,55) = strpad('K_mTn in component calcium_dynamics (millimolar)'); LEGEND_CONSTANTS(:,56) = strpad('K_mCMDN in component calcium_dynamics (millimolar)'); LEGEND_CONSTANTS(:,57) = strpad('Tn_max in component calcium_dynamics (millimolar)'); LEGEND_CONSTANTS(:,58) = strpad('CMDN_max in component calcium_dynamics (millimolar)'); LEGEND_STATES(:,19) = strpad('APtrack in component calcium_dynamics (dimensionless)'); LEGEND_STATES(:,20) = strpad('APtrack2 in component calcium_dynamics (dimensionless)'); LEGEND_STATES(:,21) = strpad('APtrack3 in component calcium_dynamics (dimensionless)'); LEGEND_STATES(:,22) = strpad('Cainfluxtrack in component calcium_dynamics (millimolar)'); LEGEND_STATES(:,23) = strpad('OVRLDtrack in component calcium_dynamics (dimensionless)'); LEGEND_STATES(:,24) = strpad('OVRLDtrack2 in component calcium_dynamics (dimensionless)'); LEGEND_STATES(:,25) = strpad('OVRLDtrack3 in component calcium_dynamics (dimensionless)'); LEGEND_CONSTANTS(:,59) = strpad('CSQNthresh in component calcium_dynamics (dimensionless)'); LEGEND_CONSTANTS(:,60) = strpad('Logicthresh in component calcium_dynamics (dimensionless)'); LEGEND_CONSTANTS(:,61) = strpad('preplength in component ionic_concentrations (mm)'); LEGEND_CONSTANTS(:,62) = strpad('radius in component ionic_concentrations (mm)'); LEGEND_CONSTANTS(:,70) = strpad('volume in component ionic_concentrations (micro_litre)'); LEGEND_RATES(:,1) = strpad('d/dt V in component membrane (millivolt)'); LEGEND_RATES(:,3) = strpad('d/dt m in component fast_sodium_current_m_gate (dimensionless)'); LEGEND_RATES(:,4) = strpad('d/dt h in component fast_sodium_current_h_gate (dimensionless)'); LEGEND_RATES(:,5) = strpad('d/dt j in component fast_sodium_current_j_gate (dimensionless)'); LEGEND_RATES(:,8) = strpad('d/dt d in component L_type_Ca_channel_d_gate (dimensionless)'); LEGEND_RATES(:,9) = strpad('d/dt f in component L_type_Ca_channel_f_gate (dimensionless)'); LEGEND_RATES(:,10) = strpad('d/dt b in component T_type_Ca_channel_b_gate (dimensionless)'); LEGEND_RATES(:,11) = strpad('d/dt g in component T_type_Ca_channel_g_gate (dimensionless)'); LEGEND_RATES(:,12) = strpad('d/dt xr in component rapid_delayed_rectifier_potassium_current_xr_gate (dimensionless)'); LEGEND_RATES(:,13) = strpad('d/dt xs1 in component slow_delayed_rectifier_potassium_current_xs1_gate (dimensionless)'); LEGEND_RATES(:,14) = strpad('d/dt xs2 in component slow_delayed_rectifier_potassium_current_xs2_gate (dimensionless)'); LEGEND_RATES(:,15) = strpad('d/dt zdv in component transient_outward_current_zdv_gate (dimensionless)'); LEGEND_RATES(:,16) = strpad('d/dt ydv in component transient_outward_current_ydv_gate (dimensionless)'); LEGEND_RATES(:,19) = strpad('d/dt APtrack in component calcium_dynamics (dimensionless)'); LEGEND_RATES(:,20) = strpad('d/dt APtrack2 in component calcium_dynamics (dimensionless)'); LEGEND_RATES(:,21) = strpad('d/dt APtrack3 in component calcium_dynamics (dimensionless)'); LEGEND_RATES(:,22) = strpad('d/dt Cainfluxtrack in component calcium_dynamics (millimolar)'); LEGEND_RATES(:,23) = strpad('d/dt OVRLDtrack in component calcium_dynamics (dimensionless)'); LEGEND_RATES(:,24) = strpad('d/dt OVRLDtrack2 in component calcium_dynamics (dimensionless)'); LEGEND_RATES(:,25) = strpad('d/dt OVRLDtrack3 in component calcium_dynamics (dimensionless)'); LEGEND_RATES(:,17) = strpad('d/dt Ca_JSR in component calcium_dynamics (millimolar)'); LEGEND_RATES(:,18) = strpad('d/dt Ca_NSR in component calcium_dynamics (millimolar)'); LEGEND_RATES(:,6) = strpad('d/dt Cai in component calcium_dynamics (millimolar)'); LEGEND_RATES(:,2) = strpad('d/dt Nai in component ionic_concentrations (millimolar)'); LEGEND_RATES(:,7) = strpad('d/dt Ki in component ionic_concentrations (millimolar)'); 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) = -88.32552; CONSTANTS(:,1) = 8314; CONSTANTS(:,2) = 310; CONSTANTS(:,3) = 96485; CONSTANTS(:,4) = 100; CONSTANTS(:,5) = 99999000; CONSTANTS(:,6) = 1000; CONSTANTS(:,7) = 2; CONSTANTS(:,8) = -25.5; CONSTANTS(:,9) = 16; STATES(:,2) = 14.177596; CONSTANTS(:,10) = 132; STATES(:,3) = 0.0008858; STATES(:,4) = 0.992806; STATES(:,5) = 0.99511469; CONSTANTS(:,11) = 1e-5; CONSTANTS(:,12) = 0.75; CONSTANTS(:,13) = 0.75; CONSTANTS(:,14) = 0.75; CONSTANTS(:,15) = 0.75; CONSTANTS(:,16) = 0.00054; CONSTANTS(:,17) = 6.75e-7; CONSTANTS(:,18) = 1.93e-7; CONSTANTS(:,19) = 1; CONSTANTS(:,20) = 0.341; STATES(:,6) = 0.00034209; CONSTANTS(:,21) = 1.8; CONSTANTS(:,22) = 4.5; STATES(:,7) = 138.37949; STATES(:,8) = 3.538268e-6; STATES(:,9) = 0.995259; CONSTANTS(:,23) = 0.0006; CONSTANTS(:,24) = 0.05; STATES(:,10) = 0.0010301; STATES(:,11) = 0.9341828; STATES(:,12) = 0.0007500578; CONSTANTS(:,25) = 0.01833; STATES(:,13) = 0.0421517; STATES(:,14) = 0.08866; CONSTANTS(:,26) = 0.00552; CONSTANTS(:,27) = 0.24; CONSTANTS(:,28) = 5e-5; CONSTANTS(:,29) = 3; CONSTANTS(:,30) = 2; CONSTANTS(:,31) = 0.00025; STATES(:,15) = 0.01198974; STATES(:,16) = 0.97497; CONSTANTS(:,32) = 0.0005; CONSTANTS(:,33) = 1.15; CONSTANTS(:,34) = 0.004; CONSTANTS(:,35) = 0.003016; CONSTANTS(:,36) = 2; CONSTANTS(:,37) = 10; CONSTANTS(:,38) = 1.5; CONSTANTS(:,39) = 0.0012; CONSTANTS(:,40) = 3; CONSTANTS(:,41) = 0.002; CONSTANTS(:,42) = 0.001; CONSTANTS(:,43) = 0.5; CONSTANTS(:,44) = 60000; CONSTANTS(:,45) = 4000; CONSTANTS(:,46) = 0.18; CONSTANTS(:,47) = 0.0008; CONSTANTS(:,48) = 0.00018; CONSTANTS(:,49) = 10; CONSTANTS(:,50) = 0.8; CONSTANTS(:,51) = 0.00092; CONSTANTS(:,52) = 5; CONSTANTS(:,53) = 15; STATES(:,17) = 0.8204291; STATES(:,18) = 2.7872629; CONSTANTS(:,54) = 1.434e-7; CONSTANTS(:,55) = 0.0005; CONSTANTS(:,56) = 0.00238; CONSTANTS(:,57) = 0.07; CONSTANTS(:,58) = 0.05; STATES(:,19) = 3.7458e-87; STATES(:,20) = 2.07066e-86; STATES(:,21) = 0.01924195; STATES(:,22) = 1.660129e-87; STATES(:,23) = 1.97626e-323; STATES(:,24) = -2.470328e-323; STATES(:,25) = 2.2645e-282; CONSTANTS(:,59) = 0.7; CONSTANTS(:,60) = 0.98; CONSTANTS(:,61) = 0.001; CONSTANTS(:,62) = 1.1e-4; CONSTANTS(:,63) = 0.0261400.*power((CONSTANTS(:,22)./5.40000), 1.0 ./ 2); CONSTANTS(:,64) = 0.750000.*power((CONSTANTS(:,22)./5.40000), 1.0 ./ 2); CONSTANTS(:,65) = 0.000193000./CONSTANTS(:,28); CONSTANTS(:,66) = 0.00000.*0.500000; CONSTANTS(:,67) = (1.00000./7.00000).*(exp(CONSTANTS(:,10)./67.3000) - 1.00000); CONSTANTS(:,68) = 0.00000.*1.75000e-07; CONSTANTS(:,69) = CONSTANTS(:,52)./CONSTANTS(:,53); CONSTANTS(:,70) = pi.*CONSTANTS(:,61).*power(CONSTANTS(:,62), 2.00000); CONSTANTS(:,71) = 1.00000./(1.00000+power(CONSTANTS(:,29)./CONSTANTS(:,31), CONSTANTS(:,30))); CONSTANTS(:,72) = 0.680000.*CONSTANTS(:,70); CONSTANTS(:,73) = CONSTANTS(:,65).*CONSTANTS(:,71).*power(CONSTANTS(:,22)./4.00000, CONSTANTS(:,27)); CONSTANTS(:,74) = (0.00480000./0.680000).*CONSTANTS(:,72); CONSTANTS(:,75) = (0.0552000./0.680000).*CONSTANTS(:,72); if (isempty(STATES)), warning('Initial values for states not set');, end end function [RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS) global algebraicVariableCount; statesSize = size(STATES); statesColumnCount = statesSize(2); if ( statesColumnCount == 1) STATES = STATES'; ALGEBRAIC = zeros(1, algebraicVariableCount); utilOnes = 1; else statesRowCount = statesSize(1); ALGEBRAIC = zeros(statesRowCount, algebraicVariableCount); RATES = zeros(statesRowCount, statesColumnCount); utilOnes = ones(statesRowCount, 1); end RATES(:,20) = piecewise({STATES(:,19)<0.200000&STATES(:,19)>0.180000, 100.000.*(1.00000 - STATES(:,20)) - 0.500000.*STATES(:,20) }, - 0.500000.*STATES(:,20)); RATES(:,21) = piecewise({STATES(:,19)<0.200000&STATES(:,19)>0.180000, 100.000.*(1.00000 - STATES(:,21)) - 0.500000.*STATES(:,21) }, - 0.0100000.*STATES(:,21)); RATES(:,23) = piecewise({1.00000./(1.00000+CONSTANTS(:,50)./STATES(:,17))>CONSTANTS(:,59)&STATES(:,25)<0.370000&STATES(:,21)<0.370000, 50.0000.*(1.00000 - STATES(:,23)) }, - 0.500000.*STATES(:,23)); RATES(:,24) = piecewise({STATES(:,23)>CONSTANTS(:,60)&STATES(:,24)CONSTANTS(:,60)&STATES(:,25)=CONSTANTS(:,11), ( 0.320000.*ALGEBRAIC(:,1))./(1.00000 - exp( - 0.100000.*ALGEBRAIC(:,1))) }, 3.20000); ALGEBRAIC(:,27) = 0.0800000.*exp( - STATES(:,1)./11.0000); RATES(:,3) = ALGEBRAIC(:,14).*(1.00000 - STATES(:,3)) - ALGEBRAIC(:,27).*STATES(:,3); ALGEBRAIC(:,5) = 1.00000./(1.00000+exp((STATES(:,1)+32.0000)./8.00000))+0.600000./(1.00000+exp((50.0000 - STATES(:,1))./20.0000)); ALGEBRAIC(:,18) = 1.00000./( 0.0197000.*exp( - power( 0.0337000.*(STATES(:,1)+10.0000), 2.00000))+0.0200000); ALGEBRAIC(:,29) = ALGEBRAIC(:,5)./ALGEBRAIC(:,18); ALGEBRAIC(:,34) = (1.00000 - ALGEBRAIC(:,5))./ALGEBRAIC(:,18); RATES(:,9) = ALGEBRAIC(:,29).*(1.00000 - STATES(:,9)) - ALGEBRAIC(:,34).*STATES(:,9); ALGEBRAIC(:,11) = ( 10.0000.*exp((STATES(:,1) - 40.0000)./25.0000))./(1.00000+exp((STATES(:,1) - 40.0000)./25.0000)); ALGEBRAIC(:,24) = ( 10.0000.*exp( - (STATES(:,1)+90.0000)./25.0000))./(1.00000+exp( - (STATES(:,1)+90.0000)./25.0000)); ALGEBRAIC(:,30) = 1.00000./(ALGEBRAIC(:,11)+ALGEBRAIC(:,24)); ALGEBRAIC(:,35) = ALGEBRAIC(:,11)./(ALGEBRAIC(:,11)+ALGEBRAIC(:,24)); RATES(:,15) = (ALGEBRAIC(:,35) - STATES(:,15))./ALGEBRAIC(:,30); ALGEBRAIC(:,12) = 0.0150000./(1.00000+exp((STATES(:,1)+60.0000)./5.00000)); ALGEBRAIC(:,25) = ( 0.100000.*exp((STATES(:,1)+25.0000)./5.00000))./(1.00000+exp((STATES(:,1)+25.0000)./5.00000)); ALGEBRAIC(:,31) = 1.00000./(ALGEBRAIC(:,12)+ALGEBRAIC(:,25)); ALGEBRAIC(:,36) = ALGEBRAIC(:,12)./(ALGEBRAIC(:,12)+ALGEBRAIC(:,25)); RATES(:,16) = (ALGEBRAIC(:,36) - STATES(:,16))./ALGEBRAIC(:,31); ALGEBRAIC(:,4) = STATES(:,1)+10.0000; ALGEBRAIC(:,17) = 1.00000./(1.00000+exp( - ALGEBRAIC(:,4)./6.24000)); ALGEBRAIC(:,28) = piecewise({abs(ALGEBRAIC(:,4))<1.00000e-05, 1.00000./( 0.0350000.*6.24000) }, ( ALGEBRAIC(:,17).*(1.00000 - exp( - ALGEBRAIC(:,4)./6.24000)))./( 0.0350000.*ALGEBRAIC(:,4))); ALGEBRAIC(:,33) = ALGEBRAIC(:,17)./ALGEBRAIC(:,28); ALGEBRAIC(:,38) = (1.00000 - ALGEBRAIC(:,17))./ALGEBRAIC(:,28); RATES(:,8) = ALGEBRAIC(:,33).*(1.00000 - STATES(:,8)) - ALGEBRAIC(:,38).*STATES(:,8); ALGEBRAIC(:,46) = 1.00000./(1.00000+exp((STATES(:,1)+9.00000)./22.4000)); ALGEBRAIC(:,50) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,22)./STATES(:,7)); ALGEBRAIC(:,51) = CONSTANTS(:,63).*STATES(:,12).*ALGEBRAIC(:,46).*(STATES(:,1) - ALGEBRAIC(:,50)); ALGEBRAIC(:,48) = 0.125000.*(1.00000+0.600000./(1.00000+power(3.80000e-05./STATES(:,6), 1.40000))); ALGEBRAIC(:,47) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log((CONSTANTS(:,22)+ CONSTANTS(:,25).*CONSTANTS(:,10))./(STATES(:,7)+ CONSTANTS(:,25).*STATES(:,2))); ALGEBRAIC(:,49) = ALGEBRAIC(:,48).*STATES(:,13).*STATES(:,14).*(STATES(:,1) - ALGEBRAIC(:,47)); ALGEBRAIC(:,58) = CONSTANTS(:,73).*(STATES(:,1) - ALGEBRAIC(:,50)); ALGEBRAIC(:,59) = exp(STATES(:,1)./100.000); ALGEBRAIC(:,60) = CONSTANTS(:,66).*power(STATES(:,15), 3.00000).*STATES(:,16).*ALGEBRAIC(:,59).*(STATES(:,1) - ALGEBRAIC(:,50)); ALGEBRAIC(:,52) = 1.02000./(1.00000+exp( 0.238500.*((STATES(:,1) - ALGEBRAIC(:,50)) - 59.2150))); ALGEBRAIC(:,53) = ( 1.00000.*( 0.491240.*exp( 0.0803200.*((STATES(:,1) - ALGEBRAIC(:,50))+5.47600))+exp( 0.0617500.*((STATES(:,1) - ALGEBRAIC(:,50)) - 594.310))))./(1.00000+exp( - 0.514300.*((STATES(:,1) - ALGEBRAIC(:,50))+4.75300))); ALGEBRAIC(:,54) = ALGEBRAIC(:,52)./(ALGEBRAIC(:,52)+ALGEBRAIC(:,53)); ALGEBRAIC(:,55) = CONSTANTS(:,64).*ALGEBRAIC(:,54).*(STATES(:,1) - ALGEBRAIC(:,50)); ALGEBRAIC(:,56) = 1.00000./(1.00000+exp((7.48800 - STATES(:,1))./5.98000)); ALGEBRAIC(:,57) = CONSTANTS(:,26).*ALGEBRAIC(:,56).*(STATES(:,1) - ALGEBRAIC(:,50)); ALGEBRAIC(:,66) = 1.00000./(1.00000+ 0.124500.*exp(( - 0.100000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))+ 0.0365000.*CONSTANTS(:,67).*exp(( - STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))); ALGEBRAIC(:,67) = ( (( CONSTANTS(:,36).*ALGEBRAIC(:,66).*1.00000)./(1.00000+power(CONSTANTS(:,37)./STATES(:,2), 2.00000))).*CONSTANTS(:,22))./(CONSTANTS(:,22)+CONSTANTS(:,38)); ALGEBRAIC(:,40) = ( (( CONSTANTS(:,18).*power(1.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,14).*STATES(:,7).*exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,15).*CONSTANTS(:,22)))./(exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000); ALGEBRAIC(:,41) = 1.00000./(1.00000+STATES(:,6)./CONSTANTS(:,23)); ALGEBRAIC(:,44) = STATES(:,8).*STATES(:,9).*ALGEBRAIC(:,41).*ALGEBRAIC(:,40); ALGEBRAIC(:,69) = ( (( CONSTANTS(:,68).*power(1.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,14).*STATES(:,7).*exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,15).*CONSTANTS(:,22)))./(exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000); ALGEBRAIC(:,71) = ( ALGEBRAIC(:,69).*1.00000)./(1.00000+power(CONSTANTS(:,39)./STATES(:,6), 3.00000)); RATES(:,7) = ( - 0.00100000.*(ALGEBRAIC(:,44)+ALGEBRAIC(:,51)+ALGEBRAIC(:,49)+ALGEBRAIC(:,55)+ALGEBRAIC(:,57)+ALGEBRAIC(:,58)+ALGEBRAIC(:,60)+ALGEBRAIC(:,71)+ - ALGEBRAIC(:,67).*2.00000).*CONSTANTS(:,54))./( CONSTANTS(:,72).*CONSTANTS(:,3)); ALGEBRAIC(:,63) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./( 2.00000.*CONSTANTS(:,3))).*log(CONSTANTS(:,21)./STATES(:,6)); ALGEBRAIC(:,64) = CONSTANTS(:,24).*STATES(:,10).*STATES(:,10).*STATES(:,11).*(STATES(:,1) - ALGEBRAIC(:,63)); ALGEBRAIC(:,61) = ( CONSTANTS(:,33).*STATES(:,6))./(CONSTANTS(:,32)+STATES(:,6)); ALGEBRAIC(:,65) = CONSTANTS(:,35).*(STATES(:,1) - ALGEBRAIC(:,63)); ALGEBRAIC(:,73) = ( CONSTANTS(:,41).*( exp(( CONSTANTS(:,43).*(CONSTANTS(:,40) - 2.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(STATES(:,2), CONSTANTS(:,40)).*CONSTANTS(:,21) - exp(( (CONSTANTS(:,43) - 1.00000).*(CONSTANTS(:,40) - 2.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(CONSTANTS(:,10), CONSTANTS(:,40)).*STATES(:,6)))./( (1.00000+ CONSTANTS(:,42).*( STATES(:,6).*power(CONSTANTS(:,10), CONSTANTS(:,40))+ CONSTANTS(:,21).*power(STATES(:,2), CONSTANTS(:,40)))).*(1.00000+STATES(:,6)./0.00690000)); ALGEBRAIC(:,37) = ( (( CONSTANTS(:,16).*power(2.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,19).*STATES(:,6).*exp(( 2.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,20).*CONSTANTS(:,21)))./(exp(( 2.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000); ALGEBRAIC(:,42) = STATES(:,8).*STATES(:,9).*ALGEBRAIC(:,41).*ALGEBRAIC(:,37); RATES(:,22) = piecewise({STATES(:,19)>0.200000, ( - 1.00000.*CONSTANTS(:,54).*(((ALGEBRAIC(:,42)+ALGEBRAIC(:,64)) - ALGEBRAIC(:,73))+ALGEBRAIC(:,61)+ALGEBRAIC(:,65)))./( 2.00000.*CONSTANTS(:,72).*CONSTANTS(:,3)) , STATES(:,20)>0.0100000&STATES(:,19)<=0.200000, 0.00000 }, - 0.500000.*STATES(:,22)); ALGEBRAIC(:,26) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,10)./STATES(:,2)); ALGEBRAIC(:,32) = CONSTANTS(:,9).*power(STATES(:,3), 3.00000).*STATES(:,4).*STATES(:,5).*(STATES(:,1) - ALGEBRAIC(:,26)); ALGEBRAIC(:,62) = CONSTANTS(:,34).*(STATES(:,1) - ALGEBRAIC(:,26)); ALGEBRAIC(:,39) = ( (( CONSTANTS(:,17).*power(1.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,12).*STATES(:,2).*exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,13).*CONSTANTS(:,10)))./(exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000); ALGEBRAIC(:,43) = STATES(:,8).*STATES(:,9).*ALGEBRAIC(:,41).*ALGEBRAIC(:,39); ALGEBRAIC(:,68) = ( (( CONSTANTS(:,68).*power(1.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,12).*STATES(:,2).*exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,13).*CONSTANTS(:,10)))./(exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000); ALGEBRAIC(:,70) = ( ALGEBRAIC(:,68).*1.00000)./(1.00000+power(CONSTANTS(:,39)./STATES(:,6), 3.00000)); RATES(:,2) = ( - 0.00100000.*(ALGEBRAIC(:,32)+ALGEBRAIC(:,43)+ALGEBRAIC(:,62)+ALGEBRAIC(:,70)+ ALGEBRAIC(:,73).*3.00000+ ALGEBRAIC(:,67).*3.00000).*CONSTANTS(:,54))./( CONSTANTS(:,72).*CONSTANTS(:,3)); ALGEBRAIC(:,13) = piecewise({VOI>=CONSTANTS(:,4)&VOI<=CONSTANTS(:,5)&(VOI - CONSTANTS(:,4)) - floor((VOI - CONSTANTS(:,4))./CONSTANTS(:,6)).*CONSTANTS(:,6)<=CONSTANTS(:,7), CONSTANTS(:,8) }, 0.00000); ALGEBRAIC(:,45) = ALGEBRAIC(:,42)+ALGEBRAIC(:,44)+ALGEBRAIC(:,43); ALGEBRAIC(:,72) = ALGEBRAIC(:,70)+ALGEBRAIC(:,71); ALGEBRAIC(:,74) = - (ALGEBRAIC(:,32)+ALGEBRAIC(:,45)+ALGEBRAIC(:,64)+ALGEBRAIC(:,51)+ALGEBRAIC(:,49)+ALGEBRAIC(:,58)+ALGEBRAIC(:,60)+ALGEBRAIC(:,55)+ALGEBRAIC(:,57)+ALGEBRAIC(:,61)+ALGEBRAIC(:,62)+ALGEBRAIC(:,65)+ALGEBRAIC(:,67)+ALGEBRAIC(:,73)+ALGEBRAIC(:,72)+ALGEBRAIC(:,13)); RATES(:,1) = ALGEBRAIC(:,74); RATES(:,19) = piecewise({ALGEBRAIC(:,74)>150.000, 100.000.*(1.00000 - STATES(:,19)) - 0.500000.*STATES(:,19) }, - 0.500000.*STATES(:,19)); ALGEBRAIC(:,75) = piecewise({STATES(:,22)>CONSTANTS(:,48), (( CONSTANTS(:,44).*(STATES(:,22) - CONSTANTS(:,48)))./((CONSTANTS(:,47)+STATES(:,22)) - CONSTANTS(:,48))).*(1.00000 - STATES(:,20)).*STATES(:,20) , STATES(:,22)<=CONSTANTS(:,48)&STATES(:,24)>0.00000, CONSTANTS(:,45).*(1.00000 - STATES(:,24)).*STATES(:,24) }, 0.00000); ALGEBRAIC(:,76) = ALGEBRAIC(:,75).*(STATES(:,17) - STATES(:,6)); ALGEBRAIC(:,77) = ( CONSTANTS(:,52).*STATES(:,6))./(STATES(:,6)+CONSTANTS(:,51)); ALGEBRAIC(:,78) = CONSTANTS(:,69).*STATES(:,18); RATES(:,6) = (0.00100000./(1.00000+( CONSTANTS(:,58).*CONSTANTS(:,56))./power(CONSTANTS(:,56)+STATES(:,6), 2.00000)+( CONSTANTS(:,57).*CONSTANTS(:,55))./power(CONSTANTS(:,55)+STATES(:,6), 2.00000))).*(( - 1.00000.*CONSTANTS(:,54).*(((ALGEBRAIC(:,42)+ALGEBRAIC(:,64)) - ALGEBRAIC(:,73))+ALGEBRAIC(:,61)+ALGEBRAIC(:,65)))./( 2.00000.*CONSTANTS(:,72).*CONSTANTS(:,3))+( ALGEBRAIC(:,76).*CONSTANTS(:,74))./CONSTANTS(:,72)+( (ALGEBRAIC(:,78) - ALGEBRAIC(:,77)).*CONSTANTS(:,75))./CONSTANTS(:,72)); ALGEBRAIC(:,79) = (STATES(:,18) - STATES(:,17))./CONSTANTS(:,46); RATES(:,17) = (0.00100000./(1.00000+( CONSTANTS(:,49).*CONSTANTS(:,50))./power(CONSTANTS(:,50)+STATES(:,17), 2.00000))).*(ALGEBRAIC(:,79) - ALGEBRAIC(:,76)); RATES(:,18) = 0.00100000.*((( - ALGEBRAIC(:,79).*CONSTANTS(:,74))./CONSTANTS(:,75) - ALGEBRAIC(:,78))+ALGEBRAIC(:,77)); 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(:,2) = piecewise({STATES(:,1)< - 40.0000, 0.135000.*exp((80.0000+STATES(:,1))./ - 6.80000) }, 0.00000); ALGEBRAIC(:,15) = piecewise({STATES(:,1)< - 40.0000, 3.56000.*exp( 0.0790000.*STATES(:,1))+ 310000..*exp( 0.350000.*STATES(:,1)) }, 1.00000./( 0.130000.*(1.00000+exp((STATES(:,1)+10.6600)./ - 11.1000)))); ALGEBRAIC(:,3) = piecewise({STATES(:,1)< - 40.0000, ( - ( 127140..*exp( 0.244400.*STATES(:,1))+ 3.47400e-05.*exp( - 0.0439100.*STATES(:,1))).*(STATES(:,1)+37.7800))./(1.00000+exp( 0.311000.*(STATES(:,1)+79.2300))) }, 0.00000); ALGEBRAIC(:,16) = piecewise({STATES(:,1)< - 40.0000, ( 0.121200.*exp( - 0.0105200.*STATES(:,1)))./(1.00000+exp( - 0.137800.*(STATES(:,1)+40.1400))) }, ( 0.300000.*exp( - 2.53500e-07.*STATES(:,1)))./(1.00000+exp( - 0.100000.*(STATES(:,1)+32.0000)))); ALGEBRAIC(:,6) = 1.00000./(1.00000+exp( - (STATES(:,1)+14.0000)./10.8000)); ALGEBRAIC(:,19) = 3.70000+6.10000./(1.00000+exp((STATES(:,1)+25.0000)./4.50000)); ALGEBRAIC(:,7) = 1.00000./(1.00000+exp((STATES(:,1)+60.0000)./5.60000)); ALGEBRAIC(:,20) = piecewise({STATES(:,1)<=0.00000, - 0.875000.*STATES(:,1)+12.0000 }, 12.0000); ALGEBRAIC(:,8) = 1.00000./(1.00000+exp( - (STATES(:,1)+21.5000)./7.50000)); ALGEBRAIC(:,21) = 1.00000./(( 0.00138000.*(STATES(:,1)+14.2000))./(1.00000 - exp( - 0.123000.*(STATES(:,1)+14.2000)))+( 0.000610000.*(STATES(:,1)+38.9000))./(exp( 0.145000.*(STATES(:,1)+38.9000)) - 1.00000)); ALGEBRAIC(:,9) = 1.00000./(1.00000+exp( - (STATES(:,1) - 1.50000)./16.7000)); ALGEBRAIC(:,22) = 1.00000./(( 7.19000e-05.*(STATES(:,1)+30.0000))./(1.00000 - exp( - 0.148000.*(STATES(:,1)+30.0000)))+( 0.000131000.*(STATES(:,1)+30.0000))./(exp( 0.0687000.*(STATES(:,1)+30.0000)) - 1.00000)); ALGEBRAIC(:,10) = 1.00000./(1.00000+exp( - (STATES(:,1) - 1.50000)./16.7000)); ALGEBRAIC(:,23) = 4.00000./(( 7.19000e-05.*(STATES(:,1)+30.0000))./(1.00000 - exp( - 0.148000.*(STATES(:,1)+30.0000)))+( 0.000131000.*(STATES(:,1)+30.0000))./(exp( 0.0687000.*(STATES(:,1)+30.0000)) - 1.00000)); ALGEBRAIC(:,1) = STATES(:,1)+47.1300; ALGEBRAIC(:,14) = piecewise({abs(ALGEBRAIC(:,1))>=CONSTANTS(:,11), ( 0.320000.*ALGEBRAIC(:,1))./(1.00000 - exp( - 0.100000.*ALGEBRAIC(:,1))) }, 3.20000); ALGEBRAIC(:,27) = 0.0800000.*exp( - STATES(:,1)./11.0000); ALGEBRAIC(:,5) = 1.00000./(1.00000+exp((STATES(:,1)+32.0000)./8.00000))+0.600000./(1.00000+exp((50.0000 - STATES(:,1))./20.0000)); ALGEBRAIC(:,18) = 1.00000./( 0.0197000.*exp( - power( 0.0337000.*(STATES(:,1)+10.0000), 2.00000))+0.0200000); ALGEBRAIC(:,29) = ALGEBRAIC(:,5)./ALGEBRAIC(:,18); ALGEBRAIC(:,34) = (1.00000 - ALGEBRAIC(:,5))./ALGEBRAIC(:,18); ALGEBRAIC(:,11) = ( 10.0000.*exp((STATES(:,1) - 40.0000)./25.0000))./(1.00000+exp((STATES(:,1) - 40.0000)./25.0000)); ALGEBRAIC(:,24) = ( 10.0000.*exp( - (STATES(:,1)+90.0000)./25.0000))./(1.00000+exp( - (STATES(:,1)+90.0000)./25.0000)); ALGEBRAIC(:,30) = 1.00000./(ALGEBRAIC(:,11)+ALGEBRAIC(:,24)); ALGEBRAIC(:,35) = ALGEBRAIC(:,11)./(ALGEBRAIC(:,11)+ALGEBRAIC(:,24)); ALGEBRAIC(:,12) = 0.0150000./(1.00000+exp((STATES(:,1)+60.0000)./5.00000)); ALGEBRAIC(:,25) = ( 0.100000.*exp((STATES(:,1)+25.0000)./5.00000))./(1.00000+exp((STATES(:,1)+25.0000)./5.00000)); ALGEBRAIC(:,31) = 1.00000./(ALGEBRAIC(:,12)+ALGEBRAIC(:,25)); ALGEBRAIC(:,36) = ALGEBRAIC(:,12)./(ALGEBRAIC(:,12)+ALGEBRAIC(:,25)); ALGEBRAIC(:,4) = STATES(:,1)+10.0000; ALGEBRAIC(:,17) = 1.00000./(1.00000+exp( - ALGEBRAIC(:,4)./6.24000)); ALGEBRAIC(:,28) = piecewise({abs(ALGEBRAIC(:,4))<1.00000e-05, 1.00000./( 0.0350000.*6.24000) }, ( ALGEBRAIC(:,17).*(1.00000 - exp( - ALGEBRAIC(:,4)./6.24000)))./( 0.0350000.*ALGEBRAIC(:,4))); ALGEBRAIC(:,33) = ALGEBRAIC(:,17)./ALGEBRAIC(:,28); ALGEBRAIC(:,38) = (1.00000 - ALGEBRAIC(:,17))./ALGEBRAIC(:,28); ALGEBRAIC(:,46) = 1.00000./(1.00000+exp((STATES(:,1)+9.00000)./22.4000)); ALGEBRAIC(:,50) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,22)./STATES(:,7)); ALGEBRAIC(:,51) = CONSTANTS(:,63).*STATES(:,12).*ALGEBRAIC(:,46).*(STATES(:,1) - ALGEBRAIC(:,50)); ALGEBRAIC(:,48) = 0.125000.*(1.00000+0.600000./(1.00000+power(3.80000e-05./STATES(:,6), 1.40000))); ALGEBRAIC(:,47) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log((CONSTANTS(:,22)+ CONSTANTS(:,25).*CONSTANTS(:,10))./(STATES(:,7)+ CONSTANTS(:,25).*STATES(:,2))); ALGEBRAIC(:,49) = ALGEBRAIC(:,48).*STATES(:,13).*STATES(:,14).*(STATES(:,1) - ALGEBRAIC(:,47)); ALGEBRAIC(:,58) = CONSTANTS(:,73).*(STATES(:,1) - ALGEBRAIC(:,50)); ALGEBRAIC(:,59) = exp(STATES(:,1)./100.000); ALGEBRAIC(:,60) = CONSTANTS(:,66).*power(STATES(:,15), 3.00000).*STATES(:,16).*ALGEBRAIC(:,59).*(STATES(:,1) - ALGEBRAIC(:,50)); ALGEBRAIC(:,52) = 1.02000./(1.00000+exp( 0.238500.*((STATES(:,1) - ALGEBRAIC(:,50)) - 59.2150))); ALGEBRAIC(:,53) = ( 1.00000.*( 0.491240.*exp( 0.0803200.*((STATES(:,1) - ALGEBRAIC(:,50))+5.47600))+exp( 0.0617500.*((STATES(:,1) - ALGEBRAIC(:,50)) - 594.310))))./(1.00000+exp( - 0.514300.*((STATES(:,1) - ALGEBRAIC(:,50))+4.75300))); ALGEBRAIC(:,54) = ALGEBRAIC(:,52)./(ALGEBRAIC(:,52)+ALGEBRAIC(:,53)); ALGEBRAIC(:,55) = CONSTANTS(:,64).*ALGEBRAIC(:,54).*(STATES(:,1) - ALGEBRAIC(:,50)); ALGEBRAIC(:,56) = 1.00000./(1.00000+exp((7.48800 - STATES(:,1))./5.98000)); ALGEBRAIC(:,57) = CONSTANTS(:,26).*ALGEBRAIC(:,56).*(STATES(:,1) - ALGEBRAIC(:,50)); ALGEBRAIC(:,66) = 1.00000./(1.00000+ 0.124500.*exp(( - 0.100000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))+ 0.0365000.*CONSTANTS(:,67).*exp(( - STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))); ALGEBRAIC(:,67) = ( (( CONSTANTS(:,36).*ALGEBRAIC(:,66).*1.00000)./(1.00000+power(CONSTANTS(:,37)./STATES(:,2), 2.00000))).*CONSTANTS(:,22))./(CONSTANTS(:,22)+CONSTANTS(:,38)); ALGEBRAIC(:,40) = ( (( CONSTANTS(:,18).*power(1.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,14).*STATES(:,7).*exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,15).*CONSTANTS(:,22)))./(exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000); ALGEBRAIC(:,41) = 1.00000./(1.00000+STATES(:,6)./CONSTANTS(:,23)); ALGEBRAIC(:,44) = STATES(:,8).*STATES(:,9).*ALGEBRAIC(:,41).*ALGEBRAIC(:,40); ALGEBRAIC(:,69) = ( (( CONSTANTS(:,68).*power(1.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,14).*STATES(:,7).*exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,15).*CONSTANTS(:,22)))./(exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000); ALGEBRAIC(:,71) = ( ALGEBRAIC(:,69).*1.00000)./(1.00000+power(CONSTANTS(:,39)./STATES(:,6), 3.00000)); ALGEBRAIC(:,63) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./( 2.00000.*CONSTANTS(:,3))).*log(CONSTANTS(:,21)./STATES(:,6)); ALGEBRAIC(:,64) = CONSTANTS(:,24).*STATES(:,10).*STATES(:,10).*STATES(:,11).*(STATES(:,1) - ALGEBRAIC(:,63)); ALGEBRAIC(:,61) = ( CONSTANTS(:,33).*STATES(:,6))./(CONSTANTS(:,32)+STATES(:,6)); ALGEBRAIC(:,65) = CONSTANTS(:,35).*(STATES(:,1) - ALGEBRAIC(:,63)); ALGEBRAIC(:,73) = ( CONSTANTS(:,41).*( exp(( CONSTANTS(:,43).*(CONSTANTS(:,40) - 2.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(STATES(:,2), CONSTANTS(:,40)).*CONSTANTS(:,21) - exp(( (CONSTANTS(:,43) - 1.00000).*(CONSTANTS(:,40) - 2.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(CONSTANTS(:,10), CONSTANTS(:,40)).*STATES(:,6)))./( (1.00000+ CONSTANTS(:,42).*( STATES(:,6).*power(CONSTANTS(:,10), CONSTANTS(:,40))+ CONSTANTS(:,21).*power(STATES(:,2), CONSTANTS(:,40)))).*(1.00000+STATES(:,6)./0.00690000)); ALGEBRAIC(:,37) = ( (( CONSTANTS(:,16).*power(2.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,19).*STATES(:,6).*exp(( 2.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,20).*CONSTANTS(:,21)))./(exp(( 2.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000); ALGEBRAIC(:,42) = STATES(:,8).*STATES(:,9).*ALGEBRAIC(:,41).*ALGEBRAIC(:,37); ALGEBRAIC(:,26) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,10)./STATES(:,2)); ALGEBRAIC(:,32) = CONSTANTS(:,9).*power(STATES(:,3), 3.00000).*STATES(:,4).*STATES(:,5).*(STATES(:,1) - ALGEBRAIC(:,26)); ALGEBRAIC(:,62) = CONSTANTS(:,34).*(STATES(:,1) - ALGEBRAIC(:,26)); ALGEBRAIC(:,39) = ( (( CONSTANTS(:,17).*power(1.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,12).*STATES(:,2).*exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,13).*CONSTANTS(:,10)))./(exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000); ALGEBRAIC(:,43) = STATES(:,8).*STATES(:,9).*ALGEBRAIC(:,41).*ALGEBRAIC(:,39); ALGEBRAIC(:,68) = ( (( CONSTANTS(:,68).*power(1.00000, 2.00000).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( CONSTANTS(:,12).*STATES(:,2).*exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - CONSTANTS(:,13).*CONSTANTS(:,10)))./(exp(( 1.00000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000); ALGEBRAIC(:,70) = ( ALGEBRAIC(:,68).*1.00000)./(1.00000+power(CONSTANTS(:,39)./STATES(:,6), 3.00000)); ALGEBRAIC(:,13) = piecewise({VOI>=CONSTANTS(:,4)&VOI<=CONSTANTS(:,5)&(VOI - CONSTANTS(:,4)) - floor((VOI - CONSTANTS(:,4))./CONSTANTS(:,6)).*CONSTANTS(:,6)<=CONSTANTS(:,7), CONSTANTS(:,8) }, 0.00000); ALGEBRAIC(:,45) = ALGEBRAIC(:,42)+ALGEBRAIC(:,44)+ALGEBRAIC(:,43); ALGEBRAIC(:,72) = ALGEBRAIC(:,70)+ALGEBRAIC(:,71); ALGEBRAIC(:,74) = - (ALGEBRAIC(:,32)+ALGEBRAIC(:,45)+ALGEBRAIC(:,64)+ALGEBRAIC(:,51)+ALGEBRAIC(:,49)+ALGEBRAIC(:,58)+ALGEBRAIC(:,60)+ALGEBRAIC(:,55)+ALGEBRAIC(:,57)+ALGEBRAIC(:,61)+ALGEBRAIC(:,62)+ALGEBRAIC(:,65)+ALGEBRAIC(:,67)+ALGEBRAIC(:,73)+ALGEBRAIC(:,72)+ALGEBRAIC(:,13)); ALGEBRAIC(:,75) = piecewise({STATES(:,22)>CONSTANTS(:,48), (( CONSTANTS(:,44).*(STATES(:,22) - CONSTANTS(:,48)))./((CONSTANTS(:,47)+STATES(:,22)) - CONSTANTS(:,48))).*(1.00000 - STATES(:,20)).*STATES(:,20) , STATES(:,22)<=CONSTANTS(:,48)&STATES(:,24)>0.00000, CONSTANTS(:,45).*(1.00000 - STATES(:,24)).*STATES(:,24) }, 0.00000); ALGEBRAIC(:,76) = ALGEBRAIC(:,75).*(STATES(:,17) - STATES(:,6)); ALGEBRAIC(:,77) = ( CONSTANTS(:,52).*STATES(:,6))./(STATES(:,6)+CONSTANTS(:,51)); ALGEBRAIC(:,78) = CONSTANTS(:,69).*STATES(:,18); ALGEBRAIC(:,79) = (STATES(:,18) - STATES(:,17))./CONSTANTS(:,46); 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