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 =71; end % There are a total of 22 entries in each of the rate and state variable arrays. % There are a total of 90 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('dCell in component membrane (dimensionless)'); LEGEND_CONSTANTS(:,67) = strpad('FCell in component membrane (dimensionless)'); LEGEND_STATES(:,1) = strpad('V in component membrane (millivolt)'); LEGEND_CONSTANTS(:,2) = strpad('R in component membrane (millijoule_per_mole_kelvin)'); LEGEND_CONSTANTS(:,3) = strpad('T in component membrane (kelvin)'); LEGEND_CONSTANTS(:,4) = strpad('F in component membrane (coulomb_per_mole)'); LEGEND_CONSTANTS(:,72) = strpad('Cm in component membrane (microF)'); LEGEND_CONSTANTS(:,5) = strpad('CmCentre in component membrane (microF)'); LEGEND_CONSTANTS(:,6) = strpad('CmPeriphery in component membrane (microF)'); LEGEND_ALGEBRAIC(:,34) = strpad('i_Na in component sodium_current (nanoA)'); LEGEND_ALGEBRAIC(:,43) = strpad('i_Ca_L in component L_type_Ca_channel (nanoA)'); LEGEND_ALGEBRAIC(:,50) = strpad('i_Ca_T in component T_type_Ca_channel (nanoA)'); LEGEND_ALGEBRAIC(:,51) = strpad('i_to in component four_AP_sensitive_currents (nanoA)'); LEGEND_ALGEBRAIC(:,52) = strpad('i_sus in component four_AP_sensitive_currents (nanoA)'); LEGEND_ALGEBRAIC(:,54) = strpad('i_K_r in component rapid_delayed_rectifying_potassium_current (nanoA)'); LEGEND_ALGEBRAIC(:,55) = strpad('i_K_s in component slow_delayed_rectifying_potassium_current (nanoA)'); LEGEND_ALGEBRAIC(:,56) = strpad('i_f_Na in component hyperpolarisation_activated_current (nanoA)'); LEGEND_ALGEBRAIC(:,57) = strpad('i_f_K in component hyperpolarisation_activated_current (nanoA)'); LEGEND_ALGEBRAIC(:,58) = strpad('i_b_Na in component sodium_background_current (nanoA)'); LEGEND_ALGEBRAIC(:,60) = strpad('i_b_Ca in component calcium_background_current (nanoA)'); LEGEND_ALGEBRAIC(:,59) = strpad('i_b_K in component potassium_background_current (nanoA)'); LEGEND_ALGEBRAIC(:,61) = strpad('i_NaCa in component sodium_calcium_exchanger (nanoA)'); LEGEND_ALGEBRAIC(:,62) = strpad('i_p in component sodium_potassium_pump (nanoA)'); LEGEND_ALGEBRAIC(:,64) = strpad('i_Ca_P in component intracellular_calcium_handling (nanoA)'); LEGEND_ALGEBRAIC(:,2) = strpad('i_st in component sustained_inward_current (nanoA)'); LEGEND_CONSTANTS(:,73) = strpad('g_Na in component sodium_current (microlitre_per_second)'); LEGEND_CONSTANTS(:,7) = strpad('g_Na_Centre in component sodium_current (microlitre_per_second)'); LEGEND_CONSTANTS(:,8) = strpad('g_Na_Periphery in component sodium_current (microlitre_per_second)'); LEGEND_CONSTANTS(:,68) = strpad('E_Na in component reversal_and_equilibrium_potentials (millivolt)'); LEGEND_CONSTANTS(:,9) = strpad('Na_o in component ionic_concentrations (millimolar)'); LEGEND_STATES(:,2) = strpad('m in component sodium_current_m_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,18) = strpad('h in component sodium_current_h_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,3) = strpad('m_infinity in component sodium_current_m_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,19) = strpad('tau_m in component sodium_current_m_gate (second)'); LEGEND_ALGEBRAIC(:,1) = strpad('F_Na in component sodium_current_h_gate (dimensionless)'); LEGEND_STATES(:,3) = strpad('h1 in component sodium_current_h_gate (dimensionless)'); LEGEND_STATES(:,4) = strpad('h2 in component sodium_current_h_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,4) = strpad('h1_infinity in component sodium_current_h_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,20) = strpad('h2_infinity in component sodium_current_h_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,21) = strpad('tau_h1 in component sodium_current_h_gate (second)'); LEGEND_ALGEBRAIC(:,35) = strpad('tau_h2 in component sodium_current_h_gate (second)'); LEGEND_CONSTANTS(:,10) = strpad('g_Ca_L_Centre in component L_type_Ca_channel (microS)'); LEGEND_CONSTANTS(:,11) = strpad('g_Ca_L_Periphery in component L_type_Ca_channel (microS)'); LEGEND_CONSTANTS(:,74) = strpad('g_Ca_L in component L_type_Ca_channel (microS)'); LEGEND_CONSTANTS(:,12) = strpad('E_Ca_L in component L_type_Ca_channel (millivolt)'); LEGEND_STATES(:,5) = strpad('d_L in component L_type_Ca_channel_d_gate (dimensionless)'); LEGEND_STATES(:,6) = strpad('f_L in component L_type_Ca_channel_f_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,5) = strpad('alpha_d_L in component L_type_Ca_channel_d_gate (per_second)'); LEGEND_ALGEBRAIC(:,22) = strpad('beta_d_L in component L_type_Ca_channel_d_gate (per_second)'); LEGEND_ALGEBRAIC(:,44) = strpad('d_L_infinity in component L_type_Ca_channel_d_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,36) = strpad('tau_d_L in component L_type_Ca_channel_d_gate (second)'); LEGEND_ALGEBRAIC(:,6) = strpad('alpha_f_L in component L_type_Ca_channel_f_gate (per_second)'); LEGEND_ALGEBRAIC(:,23) = strpad('beta_f_L in component L_type_Ca_channel_f_gate (per_second)'); LEGEND_ALGEBRAIC(:,45) = strpad('f_L_infinity in component L_type_Ca_channel_f_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,37) = strpad('tau_f_L in component L_type_Ca_channel_f_gate (second)'); LEGEND_CONSTANTS(:,13) = strpad('g_Ca_T_Centre in component T_type_Ca_channel (microS)'); LEGEND_CONSTANTS(:,14) = strpad('g_Ca_T_Periphery in component T_type_Ca_channel (microS)'); LEGEND_CONSTANTS(:,75) = strpad('g_Ca_T in component T_type_Ca_channel (microS)'); LEGEND_CONSTANTS(:,15) = strpad('E_Ca_T in component T_type_Ca_channel (millivolt)'); LEGEND_STATES(:,7) = strpad('d_T in component T_type_Ca_channel_d_gate (dimensionless)'); LEGEND_STATES(:,8) = strpad('f_T in component T_type_Ca_channel_f_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,7) = strpad('alpha_d_T in component T_type_Ca_channel_d_gate (per_second)'); LEGEND_ALGEBRAIC(:,24) = strpad('beta_d_T in component T_type_Ca_channel_d_gate (per_second)'); LEGEND_ALGEBRAIC(:,46) = strpad('d_T_infinity in component T_type_Ca_channel_d_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,38) = strpad('tau_d_T in component T_type_Ca_channel_d_gate (second)'); LEGEND_ALGEBRAIC(:,8) = strpad('alpha_f_T in component T_type_Ca_channel_f_gate (per_second)'); LEGEND_ALGEBRAIC(:,25) = strpad('beta_f_T in component T_type_Ca_channel_f_gate (per_second)'); LEGEND_ALGEBRAIC(:,47) = strpad('f_T_infinity in component T_type_Ca_channel_f_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,39) = strpad('tau_f_T in component T_type_Ca_channel_f_gate (second)'); LEGEND_CONSTANTS(:,16) = strpad('g_to_Centre in component four_AP_sensitive_currents (microS)'); LEGEND_CONSTANTS(:,17) = strpad('g_to_Periphery in component four_AP_sensitive_currents (microS)'); LEGEND_CONSTANTS(:,76) = strpad('g_to in component four_AP_sensitive_currents (microS)'); LEGEND_CONSTANTS(:,18) = strpad('g_sus_Centre in component four_AP_sensitive_currents (microS)'); LEGEND_CONSTANTS(:,19) = strpad('g_sus_Periphery in component four_AP_sensitive_currents (microS)'); LEGEND_CONSTANTS(:,77) = strpad('g_sus in component four_AP_sensitive_currents (microS)'); LEGEND_CONSTANTS(:,69) = strpad('E_K in component reversal_and_equilibrium_potentials (millivolt)'); LEGEND_STATES(:,9) = strpad('q in component four_AP_sensitive_currents_q_gate (dimensionless)'); LEGEND_STATES(:,10) = strpad('r in component four_AP_sensitive_currents_r_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,9) = strpad('q_infinity in component four_AP_sensitive_currents_q_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,26) = strpad('tau_q in component four_AP_sensitive_currents_q_gate (second)'); LEGEND_ALGEBRAIC(:,10) = strpad('r_infinity in component four_AP_sensitive_currents_r_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,27) = strpad('tau_r in component four_AP_sensitive_currents_r_gate (second)'); LEGEND_CONSTANTS(:,20) = strpad('g_K_r_Centre in component rapid_delayed_rectifying_potassium_current (microS)'); LEGEND_CONSTANTS(:,21) = strpad('g_K_r_Periphery in component rapid_delayed_rectifying_potassium_current (microS)'); LEGEND_CONSTANTS(:,78) = strpad('g_K_r in component rapid_delayed_rectifying_potassium_current (microS)'); LEGEND_ALGEBRAIC(:,53) = strpad('P_a in component rapid_delayed_rectifying_potassium_current (dimensionless)'); LEGEND_STATES(:,11) = strpad('P_af in component rapid_delayed_rectifying_potassium_current_P_af_gate (dimensionless)'); LEGEND_STATES(:,12) = strpad('P_as in component rapid_delayed_rectifying_potassium_current_P_as_gate (dimensionless)'); LEGEND_STATES(:,13) = strpad('P_i in component rapid_delayed_rectifying_potassium_current_P_i_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,11) = strpad('P_af_infinity in component rapid_delayed_rectifying_potassium_current_P_af_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,28) = strpad('tau_P_af in component rapid_delayed_rectifying_potassium_current_P_af_gate (second)'); LEGEND_ALGEBRAIC(:,29) = strpad('P_as_infinity in component rapid_delayed_rectifying_potassium_current_P_as_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,40) = strpad('tau_P_as in component rapid_delayed_rectifying_potassium_current_P_as_gate (second)'); LEGEND_ALGEBRAIC(:,12) = strpad('P_i_infinity in component rapid_delayed_rectifying_potassium_current_P_i_gate (dimensionless)'); LEGEND_CONSTANTS(:,22) = strpad('tau_P_i in component rapid_delayed_rectifying_potassium_current_P_i_gate (second)'); LEGEND_CONSTANTS(:,23) = strpad('g_K_s_Centre in component slow_delayed_rectifying_potassium_current (microS)'); LEGEND_CONSTANTS(:,24) = strpad('g_K_s_Periphery in component slow_delayed_rectifying_potassium_current (microS)'); LEGEND_CONSTANTS(:,79) = strpad('g_K_s in component slow_delayed_rectifying_potassium_current (microS)'); LEGEND_CONSTANTS(:,70) = strpad('E_K_s in component reversal_and_equilibrium_potentials (millivolt)'); LEGEND_STATES(:,14) = strpad('xs in component slow_delayed_rectifying_potassium_current_xs_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,13) = strpad('alpha_xs in component slow_delayed_rectifying_potassium_current_xs_gate (per_second)'); LEGEND_ALGEBRAIC(:,30) = strpad('beta_xs in component slow_delayed_rectifying_potassium_current_xs_gate (per_second)'); LEGEND_CONSTANTS(:,25) = strpad('g_f_Na_Centre in component hyperpolarisation_activated_current (microS)'); LEGEND_CONSTANTS(:,26) = strpad('g_f_Na_Periphery in component hyperpolarisation_activated_current (microS)'); LEGEND_CONSTANTS(:,80) = strpad('g_f_Na in component hyperpolarisation_activated_current (microS)'); LEGEND_CONSTANTS(:,27) = strpad('g_f_K_Centre in component hyperpolarisation_activated_current (microS)'); LEGEND_CONSTANTS(:,28) = strpad('g_f_K_Periphery in component hyperpolarisation_activated_current (microS)'); LEGEND_CONSTANTS(:,81) = strpad('g_f_K in component hyperpolarisation_activated_current (microS)'); LEGEND_STATES(:,15) = strpad('y in component hyperpolarisation_activated_current_y_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,14) = strpad('alpha_y in component hyperpolarisation_activated_current_y_gate (per_second)'); LEGEND_ALGEBRAIC(:,31) = strpad('beta_y in component hyperpolarisation_activated_current_y_gate (per_second)'); LEGEND_CONSTANTS(:,29) = strpad('g_b_Na_Centre in component sodium_background_current (microS)'); LEGEND_CONSTANTS(:,30) = strpad('g_b_Na_Periphery in component sodium_background_current (microS)'); LEGEND_CONSTANTS(:,82) = strpad('g_b_Na in component sodium_background_current (microS)'); LEGEND_CONSTANTS(:,31) = strpad('g_b_K_Centre in component potassium_background_current (microS)'); LEGEND_CONSTANTS(:,32) = strpad('g_b_K_Periphery in component potassium_background_current (microS)'); LEGEND_CONSTANTS(:,83) = strpad('g_b_K in component potassium_background_current (microS)'); LEGEND_CONSTANTS(:,33) = strpad('g_b_Ca_Centre in component calcium_background_current (microS)'); LEGEND_CONSTANTS(:,34) = strpad('g_b_Ca_Periphery in component calcium_background_current (microS)'); LEGEND_CONSTANTS(:,84) = strpad('g_b_Ca in component calcium_background_current (microS)'); LEGEND_CONSTANTS(:,71) = strpad('E_Ca in component reversal_and_equilibrium_potentials (millivolt)'); LEGEND_CONSTANTS(:,35) = strpad('k_NaCa_Centre in component sodium_calcium_exchanger (nanoA)'); LEGEND_CONSTANTS(:,36) = strpad('k_NaCa_Periphery in component sodium_calcium_exchanger (nanoA)'); LEGEND_CONSTANTS(:,85) = strpad('k_NaCa in component sodium_calcium_exchanger (nanoA)'); LEGEND_CONSTANTS(:,37) = strpad('d_NaCa in component sodium_calcium_exchanger (dimensionless)'); LEGEND_CONSTANTS(:,38) = strpad('gamma_NaCa in component sodium_calcium_exchanger (dimensionless)'); LEGEND_CONSTANTS(:,39) = strpad('Na_i in component ionic_concentrations (millimolar)'); LEGEND_CONSTANTS(:,40) = strpad('Ca_i in component ionic_concentrations (millimolar)'); LEGEND_CONSTANTS(:,41) = strpad('Ca_o in component ionic_concentrations (millimolar)'); LEGEND_CONSTANTS(:,42) = strpad('K_m_Na in component sodium_potassium_pump (millimolar)'); LEGEND_CONSTANTS(:,43) = strpad('K_m_K in component sodium_potassium_pump (millimolar)'); LEGEND_CONSTANTS(:,44) = strpad('i_p_max_Centre in component sodium_potassium_pump (nanoA)'); LEGEND_CONSTANTS(:,45) = strpad('i_p_max_Periphery in component sodium_potassium_pump (nanoA)'); LEGEND_CONSTANTS(:,86) = strpad('i_p_max in component sodium_potassium_pump (nanoA)'); LEGEND_CONSTANTS(:,46) = strpad('K_o in component ionic_concentrations (millimolar)'); LEGEND_CONSTANTS(:,47) = strpad('K_i in component ionic_concentrations (millimolar)'); LEGEND_CONSTANTS(:,48) = strpad('g_st in component sustained_inward_current (microS)'); LEGEND_STATES(:,16) = strpad('d_s in component sustained_inward_current_d_gate (dimensionless)'); LEGEND_STATES(:,17) = strpad('f_s in component sustained_inward_current_f_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,15) = strpad('alpha_d_s in component sustained_inward_current_d_gate (per_second)'); LEGEND_ALGEBRAIC(:,32) = strpad('beta_d_s in component sustained_inward_current_d_gate (per_second)'); LEGEND_ALGEBRAIC(:,48) = strpad('d_s_infinity in component sustained_inward_current_d_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,41) = strpad('tau_d_s in component sustained_inward_current_d_gate (second)'); LEGEND_ALGEBRAIC(:,16) = strpad('alpha_f_s in component sustained_inward_current_f_gate (per_second)'); LEGEND_ALGEBRAIC(:,33) = strpad('beta_f_s in component sustained_inward_current_f_gate (per_second)'); LEGEND_ALGEBRAIC(:,49) = strpad('f_s_infinity in component sustained_inward_current_f_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,42) = strpad('tau_f_s in component sustained_inward_current_f_gate (second)'); LEGEND_ALGEBRAIC(:,63) = strpad('U_d in component intracellular_calcium_handling (dimensionless)'); LEGEND_ALGEBRAIC(:,67) = strpad('U_s in component intracellular_calcium_handling (dimensionless)'); LEGEND_CONSTANTS(:,49) = strpad('i_Ca_P_max in component intracellular_calcium_handling (nanoA)'); LEGEND_ALGEBRAIC(:,65) = strpad('J_Ca_ds in component intracellular_calcium_handling (millimole_per_second)'); LEGEND_ALGEBRAIC(:,66) = strpad('J_Ca_r in component intracellular_calcium_handling (millimole_per_second)'); LEGEND_ALGEBRAIC(:,17) = strpad('J_Ca_P in component intracellular_calcium_handling (millimole_per_second)'); LEGEND_CONSTANTS(:,50) = strpad('J_Ca_P_max in component intracellular_calcium_handling (millimole_per_second)'); LEGEND_ALGEBRAIC(:,68) = strpad('J_Ca_u in component intracellular_calcium_handling (millimole_per_second)'); LEGEND_CONSTANTS(:,51) = strpad('J_Ca_u_max in component intracellular_calcium_handling (millimole_per_second)'); LEGEND_ALGEBRAIC(:,69) = strpad('J_Ca_ur in component intracellular_calcium_handling (millimole_per_second)'); LEGEND_ALGEBRAIC(:,70) = strpad('J_Ca_1 in component intracellular_calcium_handling (millimole_per_second)'); LEGEND_STATES(:,18) = strpad('Ca_d in component intracellular_calcium_handling (millimolar)'); LEGEND_STATES(:,19) = strpad('Ca_s in component intracellular_calcium_handling (millimolar)'); LEGEND_STATES(:,20) = strpad('Ca_u in component intracellular_calcium_handling (millimolar)'); LEGEND_STATES(:,21) = strpad('Ca_r in component intracellular_calcium_handling (millimolar)'); LEGEND_CONSTANTS(:,52) = strpad('B_d in component intracellular_calcium_handling (millimolar)'); LEGEND_CONSTANTS(:,53) = strpad('B_s in component intracellular_calcium_handling (millimolar)'); LEGEND_CONSTANTS(:,87) = strpad('Vol_u in component intracellular_calcium_handling (litre)'); LEGEND_CONSTANTS(:,88) = strpad('Vol_r in component intracellular_calcium_handling (litre)'); LEGEND_CONSTANTS(:,89) = strpad('Vol_d in component intracellular_calcium_handling (litre)'); LEGEND_CONSTANTS(:,90) = strpad('Vol_s in component intracellular_calcium_handling (litre)'); LEGEND_CONSTANTS(:,54) = strpad('Vol_c in component intracellular_calcium_handling (litre)'); LEGEND_CONSTANTS(:,55) = strpad('K_m_b in component intracellular_calcium_handling (millimolar)'); LEGEND_CONSTANTS(:,56) = strpad('K_m_r in component intracellular_calcium_handling (millimolar)'); LEGEND_CONSTANTS(:,57) = strpad('K_m_u in component intracellular_calcium_handling (millimolar)'); LEGEND_CONSTANTS(:,58) = strpad('f_d in component intracellular_calcium_handling (dimensionless)'); LEGEND_CONSTANTS(:,59) = strpad('f_r in component intracellular_calcium_handling (dimensionless)'); LEGEND_CONSTANTS(:,60) = strpad('f_u in component intracellular_calcium_handling (dimensionless)'); LEGEND_CONSTANTS(:,61) = strpad('alpha_ds in component intracellular_calcium_handling (per_second)'); LEGEND_CONSTANTS(:,62) = strpad('alpha_fR in component intracellular_calcium_handling (per_second_millimolar)'); LEGEND_CONSTANTS(:,63) = strpad('alpha_1 in component intracellular_calcium_handling (per_second)'); LEGEND_CONSTANTS(:,64) = strpad('alpha_r in component intracellular_calcium_handling (per_second)'); LEGEND_CONSTANTS(:,65) = strpad('alpha_ur in component intracellular_calcium_handling (per_second)'); LEGEND_CONSTANTS(:,66) = strpad('beta_fR in component intracellular_calcium_handling (per_second)'); LEGEND_STATES(:,22) = strpad('f_R in component intracellular_calcium_handling (dimensionless)'); LEGEND_ALGEBRAIC(:,71) = strpad('i_Ca in component intracellular_calcium_handling (nanoA)'); LEGEND_RATES(:,1) = strpad('d/dt V in component membrane (millivolt)'); LEGEND_RATES(:,2) = strpad('d/dt m in component sodium_current_m_gate (dimensionless)'); LEGEND_RATES(:,3) = strpad('d/dt h1 in component sodium_current_h_gate (dimensionless)'); LEGEND_RATES(:,4) = strpad('d/dt h2 in component sodium_current_h_gate (dimensionless)'); LEGEND_RATES(:,5) = strpad('d/dt d_L in component L_type_Ca_channel_d_gate (dimensionless)'); LEGEND_RATES(:,6) = strpad('d/dt f_L in component L_type_Ca_channel_f_gate (dimensionless)'); LEGEND_RATES(:,7) = strpad('d/dt d_T in component T_type_Ca_channel_d_gate (dimensionless)'); LEGEND_RATES(:,8) = strpad('d/dt f_T in component T_type_Ca_channel_f_gate (dimensionless)'); LEGEND_RATES(:,9) = strpad('d/dt q in component four_AP_sensitive_currents_q_gate (dimensionless)'); LEGEND_RATES(:,10) = strpad('d/dt r in component four_AP_sensitive_currents_r_gate (dimensionless)'); LEGEND_RATES(:,11) = strpad('d/dt P_af in component rapid_delayed_rectifying_potassium_current_P_af_gate (dimensionless)'); LEGEND_RATES(:,12) = strpad('d/dt P_as in component rapid_delayed_rectifying_potassium_current_P_as_gate (dimensionless)'); LEGEND_RATES(:,13) = strpad('d/dt P_i in component rapid_delayed_rectifying_potassium_current_P_i_gate (dimensionless)'); LEGEND_RATES(:,14) = strpad('d/dt xs in component slow_delayed_rectifying_potassium_current_xs_gate (dimensionless)'); LEGEND_RATES(:,15) = strpad('d/dt y in component hyperpolarisation_activated_current_y_gate (dimensionless)'); LEGEND_RATES(:,16) = strpad('d/dt d_s in component sustained_inward_current_d_gate (dimensionless)'); LEGEND_RATES(:,17) = strpad('d/dt f_s in component sustained_inward_current_f_gate (dimensionless)'); LEGEND_RATES(:,22) = strpad('d/dt f_R in component intracellular_calcium_handling (dimensionless)'); LEGEND_RATES(:,18) = strpad('d/dt Ca_d in component intracellular_calcium_handling (millimolar)'); LEGEND_RATES(:,19) = strpad('d/dt Ca_s in component intracellular_calcium_handling (millimolar)'); LEGEND_RATES(:,20) = strpad('d/dt Ca_u in component intracellular_calcium_handling (millimolar)'); LEGEND_RATES(:,21) = strpad('d/dt Ca_r in component intracellular_calcium_handling (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 = []; CONSTANTS(:,1) = 0; STATES(:,1) = -39.013558536; CONSTANTS(:,2) = 8314; CONSTANTS(:,3) = 310; CONSTANTS(:,4) = 96845; CONSTANTS(:,5) = 2e-5; CONSTANTS(:,6) = 6.5e-5; CONSTANTS(:,7) = 0; CONSTANTS(:,8) = 1.2e-6; CONSTANTS(:,9) = 140; STATES(:,2) = 0.092361701692; STATES(:,3) = 0.015905380261; STATES(:,4) = 0.01445216109; CONSTANTS(:,10) = 0.0058; CONSTANTS(:,11) = 0.0659; CONSTANTS(:,12) = 46.4; STATES(:,5) = 0.04804900895; STATES(:,6) = 0.48779845203; CONSTANTS(:,13) = 0.0043; CONSTANTS(:,14) = 0.0139; CONSTANTS(:,15) = 45; STATES(:,7) = 0.42074047435; STATES(:,8) = 0.038968420558; CONSTANTS(:,16) = 0.00491; CONSTANTS(:,17) = 0.03649; CONSTANTS(:,18) = 6.65e-5; CONSTANTS(:,19) = 0.0114; STATES(:,9) = 0.29760539675; STATES(:,10) = 0.064402950262; CONSTANTS(:,20) = 0.000797; CONSTANTS(:,21) = 0.016; STATES(:,11) = 0.13034201158; STATES(:,12) = 0.46960956028; STATES(:,13) = 0.87993375273; CONSTANTS(:,22) = 0.002; CONSTANTS(:,23) = 0.000518; CONSTANTS(:,24) = 0.0104; STATES(:,14) = 0.082293827208; CONSTANTS(:,25) = 0.000548; CONSTANTS(:,26) = 0.0069; CONSTANTS(:,27) = 0.000548; CONSTANTS(:,28) = 0.0069; STATES(:,15) = 0.03889291759; CONSTANTS(:,29) = 5.8e-5; CONSTANTS(:,30) = 0.000189; CONSTANTS(:,31) = 2.52e-5; CONSTANTS(:,32) = 8.19e-5; CONSTANTS(:,33) = 1.32e-5; CONSTANTS(:,34) = 4.3e-5; CONSTANTS(:,35) = 2.7e-6; CONSTANTS(:,36) = 8.8e-6; CONSTANTS(:,37) = 0.0001; CONSTANTS(:,38) = 0.5; CONSTANTS(:,39) = 8; CONSTANTS(:,40) = 0.0001; CONSTANTS(:,41) = 2; CONSTANTS(:,42) = 5.64; CONSTANTS(:,43) = 0.621; CONSTANTS(:,44) = 0.0478; CONSTANTS(:,45) = 0.16; CONSTANTS(:,46) = 5.4; CONSTANTS(:,47) = 140; CONSTANTS(:,48) = 0.00214; STATES(:,16) = 0.230; STATES(:,17) = 0.283; CONSTANTS(:,49) = 0.24; CONSTANTS(:,50) = 0.00000000096; CONSTANTS(:,51) = 0.00000000096; STATES(:,18) = 0.001544; STATES(:,19) = 0.05487; STATES(:,20) = 6.983; STATES(:,21) = 4.909; CONSTANTS(:,52) = 0.4; CONSTANTS(:,53) = 0.2; CONSTANTS(:,54) = 8.0e-12; CONSTANTS(:,55) = 0.002; CONSTANTS(:,56) = 0.001; CONSTANTS(:,57) = 0.005; CONSTANTS(:,58) = 0.1; CONSTANTS(:,59) = 0.3; CONSTANTS(:,60) = 0.06; CONSTANTS(:,61) = 3300.0; CONSTANTS(:,62) = 6670.0; CONSTANTS(:,63) = 0.172; CONSTANTS(:,64) = 333.5; CONSTANTS(:,65) = 533.6; CONSTANTS(:,66) = 2.0; STATES(:,22) = 0.188; CONSTANTS(:,67) = ( 1.07000.*( 3.00000.*CONSTANTS(:,1) - 0.100000))./( 3.00000.*(1.00000+ 0.774500.*exp( - ( 3.00000.*CONSTANTS(:,1) - 2.05000)./0.295000))); CONSTANTS(:,68) = (( CONSTANTS(:,2).*CONSTANTS(:,3))./CONSTANTS(:,4)).*log(CONSTANTS(:,9)./CONSTANTS(:,39)); CONSTANTS(:,69) = (( CONSTANTS(:,2).*CONSTANTS(:,3))./CONSTANTS(:,4)).*log(CONSTANTS(:,46)./CONSTANTS(:,47)); CONSTANTS(:,70) = (( CONSTANTS(:,2).*CONSTANTS(:,3))./CONSTANTS(:,4)).*log((CONSTANTS(:,46)+ 0.120000.*CONSTANTS(:,9))./(CONSTANTS(:,47)+ 0.120000.*CONSTANTS(:,39))); CONSTANTS(:,71) = (( CONSTANTS(:,2).*CONSTANTS(:,3))./( 2.00000.*CONSTANTS(:,4))).*log(CONSTANTS(:,41)./CONSTANTS(:,40)); CONSTANTS(:,72) = CONSTANTS(:,5)+ CONSTANTS(:,67).*(CONSTANTS(:,6) - CONSTANTS(:,5)); CONSTANTS(:,73) = CONSTANTS(:,7)+ CONSTANTS(:,67).*(CONSTANTS(:,8) - CONSTANTS(:,7)); CONSTANTS(:,74) = CONSTANTS(:,10)+ CONSTANTS(:,67).*(CONSTANTS(:,11) - CONSTANTS(:,10)); CONSTANTS(:,75) = CONSTANTS(:,13)+ CONSTANTS(:,67).*(CONSTANTS(:,14) - CONSTANTS(:,13)); CONSTANTS(:,76) = CONSTANTS(:,16)+ CONSTANTS(:,67).*(CONSTANTS(:,17) - CONSTANTS(:,16)); CONSTANTS(:,77) = CONSTANTS(:,18)+ CONSTANTS(:,67).*(CONSTANTS(:,19) - CONSTANTS(:,18)); CONSTANTS(:,78) = CONSTANTS(:,20)+ CONSTANTS(:,67).*(CONSTANTS(:,21) - CONSTANTS(:,20)); CONSTANTS(:,79) = CONSTANTS(:,23)+ CONSTANTS(:,67).*(CONSTANTS(:,24) - CONSTANTS(:,23)); CONSTANTS(:,80) = CONSTANTS(:,25)+ CONSTANTS(:,67).*(CONSTANTS(:,26) - CONSTANTS(:,25)); CONSTANTS(:,81) = CONSTANTS(:,27)+ CONSTANTS(:,67).*(CONSTANTS(:,28) - CONSTANTS(:,27)); CONSTANTS(:,82) = CONSTANTS(:,29)+ CONSTANTS(:,67).*(CONSTANTS(:,30) - CONSTANTS(:,29)); CONSTANTS(:,83) = CONSTANTS(:,31)+ CONSTANTS(:,67).*(CONSTANTS(:,32) - CONSTANTS(:,31)); CONSTANTS(:,84) = CONSTANTS(:,33)+ CONSTANTS(:,67).*(CONSTANTS(:,34) - CONSTANTS(:,33)); CONSTANTS(:,85) = CONSTANTS(:,35)+ CONSTANTS(:,67).*(CONSTANTS(:,36) - CONSTANTS(:,35)); CONSTANTS(:,86) = CONSTANTS(:,44)+ CONSTANTS(:,67).*(CONSTANTS(:,45) - CONSTANTS(:,44)); CONSTANTS(:,87) = CONSTANTS(:,60).*CONSTANTS(:,54); CONSTANTS(:,88) = CONSTANTS(:,59).*CONSTANTS(:,54); CONSTANTS(:,89) = CONSTANTS(:,58).*CONSTANTS(:,54); CONSTANTS(:,90) = CONSTANTS(:,54) - (CONSTANTS(:,87)+CONSTANTS(:,89)); 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(:,22) = - CONSTANTS(:,62).*STATES(:,18).*STATES(:,22)+ CONSTANTS(:,66).*(1.00000 - STATES(:,22)); ALGEBRAIC(:,12) = 1.00000./(1.00000+exp((STATES(:,1)+18.6000)./10.1000)); RATES(:,13) = (ALGEBRAIC(:,12) - STATES(:,13))./CONSTANTS(:,22); ALGEBRAIC(:,3) = power(1.00000./(1.00000+exp( - STATES(:,1)./5.46000)), 1.00000./3.00000); ALGEBRAIC(:,19) = 0.000624700./( 0.832000.*exp( - 0.335000.*(STATES(:,1)+56.7000))+ 0.627000.*exp( 0.0820000.*(STATES(:,1)+65.0100)))+4.00000e-05; RATES(:,2) = (ALGEBRAIC(:,3) - STATES(:,2))./ALGEBRAIC(:,19); ALGEBRAIC(:,4) = 1.00000./(1.00000+exp((STATES(:,1)+66.1000)./6.40000)); ALGEBRAIC(:,21) = ( 3.71700e-06.*exp( - 0.281500.*(STATES(:,1)+17.1100)))./(1.00000+ 0.00373200.*exp( - 0.342600.*(STATES(:,1)+37.7600)))+0.000597700; RATES(:,3) = (ALGEBRAIC(:,4) - STATES(:,3))./ALGEBRAIC(:,21); ALGEBRAIC(:,9) = 1.00000./(1.00000+exp((STATES(:,1)+59.3700)./13.1000)); ALGEBRAIC(:,26) = 0.0101000+0.0651700./( 0.570000.*exp( - 0.0800000.*(STATES(:,1)+49.0000)))+ 2.40000e-05.*exp( 0.100000.*(STATES(:,1)+50.9300)); RATES(:,9) = (ALGEBRAIC(:,9) - STATES(:,9))./ALGEBRAIC(:,26); ALGEBRAIC(:,10) = 1.00000./(1.00000+exp( - (STATES(:,1) - 10.9300)./19.7000)); ALGEBRAIC(:,27) = 0.00100000.*(2.98000+15.5900./( 1.03700.*exp( 0.0900000.*(STATES(:,1)+30.6100))+ 0.369000.*exp( - 0.120000.*(STATES(:,1)+23.8400)))); RATES(:,10) = (ALGEBRAIC(:,10) - STATES(:,10))./ALGEBRAIC(:,27); ALGEBRAIC(:,11) = 1.00000./(1.00000+exp( - (STATES(:,1)+14.2000)./10.6000)); ALGEBRAIC(:,28) = 1.00000./( 37.2000.*exp((STATES(:,1) - 9.00000)./15.9000)+ 0.960000.*exp( - (STATES(:,1) - 9.00000)./22.5000)); RATES(:,11) = (ALGEBRAIC(:,11) - STATES(:,11))./ALGEBRAIC(:,28); ALGEBRAIC(:,13) = 14.0000./(1.00000+exp( - (STATES(:,1) - 40.0000)./9.00000)); ALGEBRAIC(:,30) = 1.00000.*exp( - STATES(:,1)./45.0000); RATES(:,14) = ALGEBRAIC(:,13).*(1.00000 - STATES(:,14)) - ALGEBRAIC(:,30).*STATES(:,14); ALGEBRAIC(:,14) = 1.00000.*exp( - (STATES(:,1)+78.9100)./26.6200); ALGEBRAIC(:,31) = 1.00000.*exp((STATES(:,1)+75.1300)./21.2500); RATES(:,15) = ALGEBRAIC(:,14).*(1.00000 - STATES(:,15)) - ALGEBRAIC(:,31).*STATES(:,15); ALGEBRAIC(:,20) = ALGEBRAIC(:,4); ALGEBRAIC(:,35) = ( 3.18600e-08.*exp( - 0.621900.*(STATES(:,1)+18.8000)))./(1.00000+ 7.18900e-05.*exp( - 0.668300.*(STATES(:,1)+34.0700)))+0.00355600; RATES(:,4) = (ALGEBRAIC(:,20) - STATES(:,4))./ALGEBRAIC(:,35); ALGEBRAIC(:,29) = ALGEBRAIC(:,11); ALGEBRAIC(:,40) = 1.00000./( 4.20000.*exp((STATES(:,1) - 9.00000)./17.0000)+ 0.150000.*exp( - (STATES(:,1) - 9.00000)./21.6000)); RATES(:,12) = (ALGEBRAIC(:,29) - STATES(:,12))./ALGEBRAIC(:,40); ALGEBRAIC(:,44) = 1.00000./(1.00000+exp( - (STATES(:,1)+23.1000)./6.00000)); ALGEBRAIC(:,5) = ( - 28.3800.*(STATES(:,1)+35.0000))./(exp( - (STATES(:,1)+35.0000)./2.50000) - 1.00000) - ( 84.9000.*STATES(:,1))./(exp( - 0.208000.*STATES(:,1)) - 1.00000); ALGEBRAIC(:,22) = ( 11.4200.*(STATES(:,1) - 5.00000))./(exp( 0.400000.*(STATES(:,1) - 5.00000)) - 1.00000); ALGEBRAIC(:,36) = 2.00000./(ALGEBRAIC(:,5)+ALGEBRAIC(:,22)); RATES(:,5) = (ALGEBRAIC(:,44) - STATES(:,5))./ALGEBRAIC(:,36); ALGEBRAIC(:,45) = 1.00000./(1.00000+exp((STATES(:,1)+45.0000)./5.00000)); ALGEBRAIC(:,6) = ( 3.12000.*(STATES(:,1)+28.0000))./(exp((STATES(:,1)+28.0000)./4.00000) - 1.00000); ALGEBRAIC(:,23) = 25.0000./(1.00000+exp( - (STATES(:,1)+28.0000)./4.00000)); ALGEBRAIC(:,37) = 1.00000./(ALGEBRAIC(:,6)+ALGEBRAIC(:,23)); RATES(:,6) = (ALGEBRAIC(:,45) - STATES(:,6))./ALGEBRAIC(:,37); ALGEBRAIC(:,46) = 1.00000./(1.00000+exp( - (STATES(:,1)+37.0000)./6.80000)); ALGEBRAIC(:,7) = 1068.00.*exp((STATES(:,1)+26.3000)./30.0000); ALGEBRAIC(:,24) = 1068.00.*exp( - (STATES(:,1)+26.3000)./30.0000); ALGEBRAIC(:,38) = 1.00000./(ALGEBRAIC(:,7)+ALGEBRAIC(:,24)); RATES(:,7) = (ALGEBRAIC(:,46) - STATES(:,7))./ALGEBRAIC(:,38); ALGEBRAIC(:,47) = 1.00000./(1.00000+exp((STATES(:,1)+71.0000)./9.00000)); ALGEBRAIC(:,8) = 15.3000.*exp( - (STATES(:,1)+71.7000)./83.3000); ALGEBRAIC(:,25) = 15.0000.*exp((STATES(:,1)+71.7000)./15.3800); ALGEBRAIC(:,39) = 1.00000./(ALGEBRAIC(:,8)+ALGEBRAIC(:,25)); RATES(:,8) = (ALGEBRAIC(:,47) - STATES(:,8))./ALGEBRAIC(:,39); ALGEBRAIC(:,15) = 1000.00./( 0.150000.*exp( - STATES(:,1)./11.0000)+ 0.200000.*exp( - STATES(:,1)./700.000)); ALGEBRAIC(:,32) = 1000.00./( 16.0000.*exp(STATES(:,1)./8.00000)+ 0.200000.*exp(STATES(:,1)./50.0000)); ALGEBRAIC(:,48) = ALGEBRAIC(:,15)./(ALGEBRAIC(:,15)+ALGEBRAIC(:,32)); ALGEBRAIC(:,41) = 1.00000./(ALGEBRAIC(:,15)+ALGEBRAIC(:,32)); RATES(:,16) = (ALGEBRAIC(:,48) - STATES(:,16))./ALGEBRAIC(:,41); ALGEBRAIC(:,16) = 1000.00./( 3100.00.*exp( - STATES(:,1)./13.0000)+ 700.000.*exp( - STATES(:,1)./70.0000)); ALGEBRAIC(:,33) = 1000.00./( 16.0000.*exp(STATES(:,1)./8.00000)+ 0.200000.*exp(STATES(:,1)./50.0000)); ALGEBRAIC(:,49) = ALGEBRAIC(:,16)./(ALGEBRAIC(:,16)+ALGEBRAIC(:,33)); ALGEBRAIC(:,42) = 1.00000./(ALGEBRAIC(:,16)+ALGEBRAIC(:,33)); RATES(:,17) = (ALGEBRAIC(:,49) - STATES(:,17))./ALGEBRAIC(:,42); ALGEBRAIC(:,1) = ( 0.0952000.*exp( - 0.0630000.*(STATES(:,1)+34.4000)))./(1.00000+ 1.66000.*exp( - 0.225000.*(STATES(:,1)+63.7000)))+0.0869000; ALGEBRAIC(:,18) = (1.00000 - ALGEBRAIC(:,1)).*STATES(:,3)+ ALGEBRAIC(:,1).*STATES(:,4); ALGEBRAIC(:,34) = (( (( CONSTANTS(:,73).*power(STATES(:,2), 3.00000).*ALGEBRAIC(:,18).*CONSTANTS(:,9).*power(CONSTANTS(:,4), 2.00000))./( CONSTANTS(:,2).*CONSTANTS(:,3))).*(exp(( (STATES(:,1) - CONSTANTS(:,68)).*CONSTANTS(:,4))./( CONSTANTS(:,2).*CONSTANTS(:,3))) - 1.00000))./(exp(( STATES(:,1).*CONSTANTS(:,4))./( CONSTANTS(:,2).*CONSTANTS(:,3))) - 1.00000)).*STATES(:,1); ALGEBRAIC(:,43) = CONSTANTS(:,74).*( STATES(:,6).*STATES(:,5)+0.00600000./(1.00000+exp( - (STATES(:,1)+14.1000)./6.00000))).*(STATES(:,1) - CONSTANTS(:,12)); ALGEBRAIC(:,50) = CONSTANTS(:,75).*STATES(:,7).*STATES(:,8).*(STATES(:,1) - CONSTANTS(:,15)); ALGEBRAIC(:,51) = CONSTANTS(:,76).*STATES(:,9).*STATES(:,10).*(STATES(:,1) - CONSTANTS(:,69)); ALGEBRAIC(:,52) = CONSTANTS(:,77).*STATES(:,10).*(STATES(:,1) - CONSTANTS(:,69)); ALGEBRAIC(:,53) = 0.600000.*STATES(:,11)+ 0.400000.*STATES(:,12); ALGEBRAIC(:,54) = CONSTANTS(:,78).*ALGEBRAIC(:,53).*STATES(:,13).*(STATES(:,1) - CONSTANTS(:,69)); ALGEBRAIC(:,55) = CONSTANTS(:,79).*power(STATES(:,14), 2.00000).*(STATES(:,1) - CONSTANTS(:,70)); ALGEBRAIC(:,56) = CONSTANTS(:,80).*STATES(:,15).*(STATES(:,1) - CONSTANTS(:,68)); ALGEBRAIC(:,57) = CONSTANTS(:,81).*STATES(:,15).*(STATES(:,1) - CONSTANTS(:,69)); ALGEBRAIC(:,58) = CONSTANTS(:,82).*(STATES(:,1) - CONSTANTS(:,68)); ALGEBRAIC(:,60) = CONSTANTS(:,84).*(STATES(:,1) - CONSTANTS(:,71)); ALGEBRAIC(:,59) = CONSTANTS(:,83).*(STATES(:,1) - CONSTANTS(:,69)); ALGEBRAIC(:,61) = ( CONSTANTS(:,85).*( power(CONSTANTS(:,39), 3.00000).*CONSTANTS(:,41).*exp( 0.0374300.*STATES(:,1).*CONSTANTS(:,38)) - power(CONSTANTS(:,9), 3.00000).*CONSTANTS(:,40).*exp( 0.0374000.*STATES(:,1).*(CONSTANTS(:,38) - 1.00000))))./(1.00000+ CONSTANTS(:,37).*( CONSTANTS(:,40).*power(CONSTANTS(:,9), 3.00000)+ CONSTANTS(:,41).*power(CONSTANTS(:,39), 3.00000))); ALGEBRAIC(:,62) = ( CONSTANTS(:,86).*power(CONSTANTS(:,39)./(CONSTANTS(:,42)+CONSTANTS(:,39)), 3.00000).*power(CONSTANTS(:,46)./(CONSTANTS(:,43)+CONSTANTS(:,46)), 2.00000).*1.60000)./(1.50000+exp( - (STATES(:,1)+60.0000)./40.0000)); ALGEBRAIC(:,64) = CONSTANTS(:,49).*(STATES(:,19)./(STATES(:,19)+0.000400000)); RATES(:,1) = ( - 1.00000./CONSTANTS(:,72)).*(ALGEBRAIC(:,34)+ALGEBRAIC(:,43)+ALGEBRAIC(:,50)+ALGEBRAIC(:,51)+ALGEBRAIC(:,52)+ALGEBRAIC(:,54)+ALGEBRAIC(:,55)+ALGEBRAIC(:,56)+ALGEBRAIC(:,57)+ALGEBRAIC(:,58)+ALGEBRAIC(:,60)+ALGEBRAIC(:,59)+ALGEBRAIC(:,61)+ALGEBRAIC(:,62)+ALGEBRAIC(:,64)); ALGEBRAIC(:,66) = CONSTANTS(:,64).*STATES(:,22).*(power(STATES(:,18), 2.00000)./(power(CONSTANTS(:,56), 2.00000)+power(STATES(:,18), 2.00000))).*CONSTANTS(:,88).*STATES(:,21); ALGEBRAIC(:,69) = CONSTANTS(:,65).*CONSTANTS(:,87).*(STATES(:,20) - STATES(:,21)); RATES(:,21) = (ALGEBRAIC(:,69) - ALGEBRAIC(:,66))./CONSTANTS(:,88); ALGEBRAIC(:,68) = CONSTANTS(:,51).*(power(STATES(:,19), 2.00000)./(power(CONSTANTS(:,57), 2.00000)+power(STATES(:,19), 2.00000))); ALGEBRAIC(:,70) = CONSTANTS(:,63).*CONSTANTS(:,87).*STATES(:,20); RATES(:,20) = (ALGEBRAIC(:,68) - (ALGEBRAIC(:,70)+ALGEBRAIC(:,69)))./CONSTANTS(:,87); ALGEBRAIC(:,63) = 1.00000 - CONSTANTS(:,52)./(CONSTANTS(:,55)+STATES(:,18)+CONSTANTS(:,52)); ALGEBRAIC(:,65) = CONSTANTS(:,61).*CONSTANTS(:,89).*(STATES(:,18) - STATES(:,19)); ALGEBRAIC(:,71) = ALGEBRAIC(:,43)+ALGEBRAIC(:,50); RATES(:,18) = (ALGEBRAIC(:,63)./CONSTANTS(:,89)).*(ALGEBRAIC(:,65) - ( 0.950000.*ALGEBRAIC(:,71))./( 2.00000.*CONSTANTS(:,4))); ALGEBRAIC(:,67) = 1.00000 - CONSTANTS(:,53)./(CONSTANTS(:,55)+STATES(:,19)+CONSTANTS(:,53)); RATES(:,19) = (ALGEBRAIC(:,67)./CONSTANTS(:,90)).*((ALGEBRAIC(:,65) - ((( 0.0500000.*ALGEBRAIC(:,71) - 2.00000.*ALGEBRAIC(:,61))+ALGEBRAIC(:,60))./( 2.00000.*CONSTANTS(:,4))+ALGEBRAIC(:,68)))+ALGEBRAIC(:,66)+ALGEBRAIC(:,70)); 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(:,12) = 1.00000./(1.00000+exp((STATES(:,1)+18.6000)./10.1000)); ALGEBRAIC(:,3) = power(1.00000./(1.00000+exp( - STATES(:,1)./5.46000)), 1.00000./3.00000); ALGEBRAIC(:,19) = 0.000624700./( 0.832000.*exp( - 0.335000.*(STATES(:,1)+56.7000))+ 0.627000.*exp( 0.0820000.*(STATES(:,1)+65.0100)))+4.00000e-05; ALGEBRAIC(:,4) = 1.00000./(1.00000+exp((STATES(:,1)+66.1000)./6.40000)); ALGEBRAIC(:,21) = ( 3.71700e-06.*exp( - 0.281500.*(STATES(:,1)+17.1100)))./(1.00000+ 0.00373200.*exp( - 0.342600.*(STATES(:,1)+37.7600)))+0.000597700; ALGEBRAIC(:,9) = 1.00000./(1.00000+exp((STATES(:,1)+59.3700)./13.1000)); ALGEBRAIC(:,26) = 0.0101000+0.0651700./( 0.570000.*exp( - 0.0800000.*(STATES(:,1)+49.0000)))+ 2.40000e-05.*exp( 0.100000.*(STATES(:,1)+50.9300)); ALGEBRAIC(:,10) = 1.00000./(1.00000+exp( - (STATES(:,1) - 10.9300)./19.7000)); ALGEBRAIC(:,27) = 0.00100000.*(2.98000+15.5900./( 1.03700.*exp( 0.0900000.*(STATES(:,1)+30.6100))+ 0.369000.*exp( - 0.120000.*(STATES(:,1)+23.8400)))); ALGEBRAIC(:,11) = 1.00000./(1.00000+exp( - (STATES(:,1)+14.2000)./10.6000)); ALGEBRAIC(:,28) = 1.00000./( 37.2000.*exp((STATES(:,1) - 9.00000)./15.9000)+ 0.960000.*exp( - (STATES(:,1) - 9.00000)./22.5000)); ALGEBRAIC(:,13) = 14.0000./(1.00000+exp( - (STATES(:,1) - 40.0000)./9.00000)); ALGEBRAIC(:,30) = 1.00000.*exp( - STATES(:,1)./45.0000); ALGEBRAIC(:,14) = 1.00000.*exp( - (STATES(:,1)+78.9100)./26.6200); ALGEBRAIC(:,31) = 1.00000.*exp((STATES(:,1)+75.1300)./21.2500); ALGEBRAIC(:,20) = ALGEBRAIC(:,4); ALGEBRAIC(:,35) = ( 3.18600e-08.*exp( - 0.621900.*(STATES(:,1)+18.8000)))./(1.00000+ 7.18900e-05.*exp( - 0.668300.*(STATES(:,1)+34.0700)))+0.00355600; ALGEBRAIC(:,29) = ALGEBRAIC(:,11); ALGEBRAIC(:,40) = 1.00000./( 4.20000.*exp((STATES(:,1) - 9.00000)./17.0000)+ 0.150000.*exp( - (STATES(:,1) - 9.00000)./21.6000)); ALGEBRAIC(:,44) = 1.00000./(1.00000+exp( - (STATES(:,1)+23.1000)./6.00000)); ALGEBRAIC(:,5) = ( - 28.3800.*(STATES(:,1)+35.0000))./(exp( - (STATES(:,1)+35.0000)./2.50000) - 1.00000) - ( 84.9000.*STATES(:,1))./(exp( - 0.208000.*STATES(:,1)) - 1.00000); ALGEBRAIC(:,22) = ( 11.4200.*(STATES(:,1) - 5.00000))./(exp( 0.400000.*(STATES(:,1) - 5.00000)) - 1.00000); ALGEBRAIC(:,36) = 2.00000./(ALGEBRAIC(:,5)+ALGEBRAIC(:,22)); ALGEBRAIC(:,45) = 1.00000./(1.00000+exp((STATES(:,1)+45.0000)./5.00000)); ALGEBRAIC(:,6) = ( 3.12000.*(STATES(:,1)+28.0000))./(exp((STATES(:,1)+28.0000)./4.00000) - 1.00000); ALGEBRAIC(:,23) = 25.0000./(1.00000+exp( - (STATES(:,1)+28.0000)./4.00000)); ALGEBRAIC(:,37) = 1.00000./(ALGEBRAIC(:,6)+ALGEBRAIC(:,23)); ALGEBRAIC(:,46) = 1.00000./(1.00000+exp( - (STATES(:,1)+37.0000)./6.80000)); ALGEBRAIC(:,7) = 1068.00.*exp((STATES(:,1)+26.3000)./30.0000); ALGEBRAIC(:,24) = 1068.00.*exp( - (STATES(:,1)+26.3000)./30.0000); ALGEBRAIC(:,38) = 1.00000./(ALGEBRAIC(:,7)+ALGEBRAIC(:,24)); ALGEBRAIC(:,47) = 1.00000./(1.00000+exp((STATES(:,1)+71.0000)./9.00000)); ALGEBRAIC(:,8) = 15.3000.*exp( - (STATES(:,1)+71.7000)./83.3000); ALGEBRAIC(:,25) = 15.0000.*exp((STATES(:,1)+71.7000)./15.3800); ALGEBRAIC(:,39) = 1.00000./(ALGEBRAIC(:,8)+ALGEBRAIC(:,25)); ALGEBRAIC(:,15) = 1000.00./( 0.150000.*exp( - STATES(:,1)./11.0000)+ 0.200000.*exp( - STATES(:,1)./700.000)); ALGEBRAIC(:,32) = 1000.00./( 16.0000.*exp(STATES(:,1)./8.00000)+ 0.200000.*exp(STATES(:,1)./50.0000)); ALGEBRAIC(:,48) = ALGEBRAIC(:,15)./(ALGEBRAIC(:,15)+ALGEBRAIC(:,32)); ALGEBRAIC(:,41) = 1.00000./(ALGEBRAIC(:,15)+ALGEBRAIC(:,32)); ALGEBRAIC(:,16) = 1000.00./( 3100.00.*exp( - STATES(:,1)./13.0000)+ 700.000.*exp( - STATES(:,1)./70.0000)); ALGEBRAIC(:,33) = 1000.00./( 16.0000.*exp(STATES(:,1)./8.00000)+ 0.200000.*exp(STATES(:,1)./50.0000)); ALGEBRAIC(:,49) = ALGEBRAIC(:,16)./(ALGEBRAIC(:,16)+ALGEBRAIC(:,33)); ALGEBRAIC(:,42) = 1.00000./(ALGEBRAIC(:,16)+ALGEBRAIC(:,33)); ALGEBRAIC(:,1) = ( 0.0952000.*exp( - 0.0630000.*(STATES(:,1)+34.4000)))./(1.00000+ 1.66000.*exp( - 0.225000.*(STATES(:,1)+63.7000)))+0.0869000; ALGEBRAIC(:,18) = (1.00000 - ALGEBRAIC(:,1)).*STATES(:,3)+ ALGEBRAIC(:,1).*STATES(:,4); ALGEBRAIC(:,34) = (( (( CONSTANTS(:,73).*power(STATES(:,2), 3.00000).*ALGEBRAIC(:,18).*CONSTANTS(:,9).*power(CONSTANTS(:,4), 2.00000))./( CONSTANTS(:,2).*CONSTANTS(:,3))).*(exp(( (STATES(:,1) - CONSTANTS(:,68)).*CONSTANTS(:,4))./( CONSTANTS(:,2).*CONSTANTS(:,3))) - 1.00000))./(exp(( STATES(:,1).*CONSTANTS(:,4))./( CONSTANTS(:,2).*CONSTANTS(:,3))) - 1.00000)).*STATES(:,1); ALGEBRAIC(:,43) = CONSTANTS(:,74).*( STATES(:,6).*STATES(:,5)+0.00600000./(1.00000+exp( - (STATES(:,1)+14.1000)./6.00000))).*(STATES(:,1) - CONSTANTS(:,12)); ALGEBRAIC(:,50) = CONSTANTS(:,75).*STATES(:,7).*STATES(:,8).*(STATES(:,1) - CONSTANTS(:,15)); ALGEBRAIC(:,51) = CONSTANTS(:,76).*STATES(:,9).*STATES(:,10).*(STATES(:,1) - CONSTANTS(:,69)); ALGEBRAIC(:,52) = CONSTANTS(:,77).*STATES(:,10).*(STATES(:,1) - CONSTANTS(:,69)); ALGEBRAIC(:,53) = 0.600000.*STATES(:,11)+ 0.400000.*STATES(:,12); ALGEBRAIC(:,54) = CONSTANTS(:,78).*ALGEBRAIC(:,53).*STATES(:,13).*(STATES(:,1) - CONSTANTS(:,69)); ALGEBRAIC(:,55) = CONSTANTS(:,79).*power(STATES(:,14), 2.00000).*(STATES(:,1) - CONSTANTS(:,70)); ALGEBRAIC(:,56) = CONSTANTS(:,80).*STATES(:,15).*(STATES(:,1) - CONSTANTS(:,68)); ALGEBRAIC(:,57) = CONSTANTS(:,81).*STATES(:,15).*(STATES(:,1) - CONSTANTS(:,69)); ALGEBRAIC(:,58) = CONSTANTS(:,82).*(STATES(:,1) - CONSTANTS(:,68)); ALGEBRAIC(:,60) = CONSTANTS(:,84).*(STATES(:,1) - CONSTANTS(:,71)); ALGEBRAIC(:,59) = CONSTANTS(:,83).*(STATES(:,1) - CONSTANTS(:,69)); ALGEBRAIC(:,61) = ( CONSTANTS(:,85).*( power(CONSTANTS(:,39), 3.00000).*CONSTANTS(:,41).*exp( 0.0374300.*STATES(:,1).*CONSTANTS(:,38)) - power(CONSTANTS(:,9), 3.00000).*CONSTANTS(:,40).*exp( 0.0374000.*STATES(:,1).*(CONSTANTS(:,38) - 1.00000))))./(1.00000+ CONSTANTS(:,37).*( CONSTANTS(:,40).*power(CONSTANTS(:,9), 3.00000)+ CONSTANTS(:,41).*power(CONSTANTS(:,39), 3.00000))); ALGEBRAIC(:,62) = ( CONSTANTS(:,86).*power(CONSTANTS(:,39)./(CONSTANTS(:,42)+CONSTANTS(:,39)), 3.00000).*power(CONSTANTS(:,46)./(CONSTANTS(:,43)+CONSTANTS(:,46)), 2.00000).*1.60000)./(1.50000+exp( - (STATES(:,1)+60.0000)./40.0000)); ALGEBRAIC(:,64) = CONSTANTS(:,49).*(STATES(:,19)./(STATES(:,19)+0.000400000)); ALGEBRAIC(:,66) = CONSTANTS(:,64).*STATES(:,22).*(power(STATES(:,18), 2.00000)./(power(CONSTANTS(:,56), 2.00000)+power(STATES(:,18), 2.00000))).*CONSTANTS(:,88).*STATES(:,21); ALGEBRAIC(:,69) = CONSTANTS(:,65).*CONSTANTS(:,87).*(STATES(:,20) - STATES(:,21)); ALGEBRAIC(:,68) = CONSTANTS(:,51).*(power(STATES(:,19), 2.00000)./(power(CONSTANTS(:,57), 2.00000)+power(STATES(:,19), 2.00000))); ALGEBRAIC(:,70) = CONSTANTS(:,63).*CONSTANTS(:,87).*STATES(:,20); ALGEBRAIC(:,63) = 1.00000 - CONSTANTS(:,52)./(CONSTANTS(:,55)+STATES(:,18)+CONSTANTS(:,52)); ALGEBRAIC(:,65) = CONSTANTS(:,61).*CONSTANTS(:,89).*(STATES(:,18) - STATES(:,19)); ALGEBRAIC(:,71) = ALGEBRAIC(:,43)+ALGEBRAIC(:,50); ALGEBRAIC(:,67) = 1.00000 - CONSTANTS(:,53)./(CONSTANTS(:,55)+STATES(:,19)+CONSTANTS(:,53)); ALGEBRAIC(:,2) = CONSTANTS(:,48).*STATES(:,16).*STATES(:,17).*(STATES(:,1) - 18.0000); ALGEBRAIC(:,17) = CONSTANTS(:,50).*(STATES(:,19)./(STATES(:,19)+0.000400000)); 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