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 =73; end % There are a total of 29 entries in each of the rate and state variable arrays. % There are a total of 55 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_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_CONSTANTS(:,4) = strpad('Cm in component membrane (microF)'); LEGEND_ALGEBRAIC(:,64) = strpad('i_Na in component sodium_current (nanoA)'); LEGEND_ALGEBRAIC(:,41) = strpad('i_Ca_T in component T_type_Ca_channel (nanoA)'); LEGEND_ALGEBRAIC(:,40) = strpad('i_Ca_L in component L_type_Ca_channel (nanoA)'); LEGEND_ALGEBRAIC(:,67) = strpad('i_K in component delayed_rectifying_potassium_current (nanoA)'); LEGEND_ALGEBRAIC(:,46) = strpad('i_f in component hyperpolarisation_activated_current (nanoA)'); LEGEND_ALGEBRAIC(:,73) = strpad('i_B in component linear_background_current (nanoA)'); LEGEND_ALGEBRAIC(:,48) = strpad('i_NaK in component sodium_potassium_pump (nanoA)'); LEGEND_ALGEBRAIC(:,50) = strpad('i_NaCa in component sodium_calcium_pump (nanoA)'); LEGEND_ALGEBRAIC(:,49) = strpad('i_Ca_P in component calcium_pump_current (nanoA)'); LEGEND_ALGEBRAIC(:,70) = strpad('i_K_ACh in component muscarinic_potassium_current (nanoA)'); LEGEND_CONSTANTS(:,5) = strpad('P_Na in component sodium_current (mul_per_second)'); LEGEND_ALGEBRAIC(:,63) = strpad('E_Na in component reversal_potentials (millivolt)'); LEGEND_STATES(:,2) = strpad('Na_c in component cleft_space_equations (millimolar)'); LEGEND_CONSTANTS(:,46) = strpad('F_ACh_Na in component sodium_current (dimensionless)'); LEGEND_CONSTANTS(:,6) = strpad('ACh in component cAMP_balance (millimolar)'); LEGEND_STATES(:,3) = strpad('m in component sodium_current_m_gate (dimensionless)'); LEGEND_STATES(:,4) = strpad('h1 in component sodium_current_h_gate (dimensionless)'); LEGEND_STATES(:,5) = strpad('h2 in component sodium_current_h_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,23) = strpad('m_infinity in component sodium_current_m_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,30) = strpad('tau_m in component sodium_current_m_gate (second)'); LEGEND_ALGEBRAIC(:,1) = strpad('alpha_m in component sodium_current_m_gate (per_second)'); LEGEND_ALGEBRAIC(:,13) = strpad('beta_m in component sodium_current_m_gate (per_second)'); LEGEND_ALGEBRAIC(:,24) = strpad('h1_infinity in component sodium_current_h_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,36) = strpad('h2_infinity in component sodium_current_h_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,31) = strpad('tau_h1 in component sodium_current_h_gate (second)'); LEGEND_ALGEBRAIC(:,38) = strpad('tau_h2 in component sodium_current_h_gate (second)'); LEGEND_ALGEBRAIC(:,2) = strpad('alpha_h1 in component sodium_current_h_gate (per_second)'); LEGEND_ALGEBRAIC(:,14) = strpad('beta_h1 in component sodium_current_h_gate (per_second)'); LEGEND_ALGEBRAIC(:,21) = strpad('g_Ca_L in component L_type_Ca_channel (microS)'); LEGEND_CONSTANTS(:,7) = strpad('g_Ca_L_cont in component L_type_Ca_channel (microS)'); LEGEND_ALGEBRAIC(:,10) = strpad('F_cAMP_CaL in component L_type_Ca_channel (dimensionless)'); LEGEND_STATES(:,6) = strpad('cAMP in component cAMP_balance (millimolar)'); LEGEND_CONSTANTS(:,8) = strpad('E_Ca_L in component L_type_Ca_channel (millivolt)'); LEGEND_STATES(:,7) = strpad('d_L in component L_type_Ca_channel_d_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,39) = strpad('d_L_infinity in component L_type_Ca_channel_d_gate (dimensionless)'); LEGEND_STATES(:,8) = strpad('f_L in component L_type_Ca_channel_f_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,29) = strpad('alpha_d_L in component L_type_Ca_channel_d_gate (per_second)'); LEGEND_ALGEBRAIC(:,35) = strpad('beta_d_L in component L_type_Ca_channel_d_gate (per_second)'); LEGEND_ALGEBRAIC(:,37) = strpad('tau_d_L in component L_type_Ca_channel_d_gate (second)'); LEGEND_ALGEBRAIC(:,3) = strpad('alpha_f_L in component L_type_Ca_channel_f_gate (per_second)'); LEGEND_ALGEBRAIC(:,15) = strpad('beta_f_L in component L_type_Ca_channel_f_gate (per_second)'); LEGEND_ALGEBRAIC(:,32) = strpad('f_L_infinity in component L_type_Ca_channel_f_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,25) = strpad('tau_f_L in component L_type_Ca_channel_f_gate (second)'); LEGEND_CONSTANTS(:,9) = strpad('g_Ca_T in component T_type_Ca_channel (microS)'); LEGEND_CONSTANTS(:,10) = strpad('E_Ca_T in component T_type_Ca_channel (millivolt)'); LEGEND_STATES(:,9) = strpad('d_T in component T_type_Ca_channel_d_gate (dimensionless)'); LEGEND_STATES(:,10) = strpad('f_T in component T_type_Ca_channel_f_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,4) = strpad('alpha_d_T in component T_type_Ca_channel_d_gate (per_second)'); LEGEND_ALGEBRAIC(:,16) = strpad('beta_d_T in component T_type_Ca_channel_d_gate (per_second)'); LEGEND_ALGEBRAIC(:,33) = strpad('d_T_infinity in component T_type_Ca_channel_d_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,26) = strpad('tau_d_T in component T_type_Ca_channel_d_gate (second)'); LEGEND_ALGEBRAIC(:,5) = strpad('alpha_f_T in component T_type_Ca_channel_f_gate (per_second)'); LEGEND_ALGEBRAIC(:,17) = strpad('beta_f_T in component T_type_Ca_channel_f_gate (per_second)'); LEGEND_ALGEBRAIC(:,34) = strpad('f_T_infinity in component T_type_Ca_channel_f_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,27) = strpad('tau_f_T in component T_type_Ca_channel_f_gate (second)'); LEGEND_ALGEBRAIC(:,43) = strpad('g_K in component delayed_rectifying_potassium_current (microS)'); LEGEND_ALGEBRAIC(:,42) = strpad('F_cAMP_K in component delayed_rectifying_potassium_current (dimensionless)'); LEGEND_ALGEBRAIC(:,66) = strpad('E_K in component reversal_potentials (millivolt)'); LEGEND_CONSTANTS(:,11) = strpad('K_b in component cleft_space_equations (millimolar)'); LEGEND_STATES(:,11) = strpad('P_a in component delayed_rectifying_potassium_current_P_a_gate (dimensionless)'); LEGEND_STATES(:,12) = strpad('P_i in component delayed_rectifying_potassium_current_P_i_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,18) = strpad('tau_P_a in component delayed_rectifying_potassium_current_P_a_gate (second)'); LEGEND_ALGEBRAIC(:,6) = strpad('P_a_infinity in component delayed_rectifying_potassium_current_P_a_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,7) = strpad('alpha_P_i in component delayed_rectifying_potassium_current_P_i_gate (per_second)'); LEGEND_ALGEBRAIC(:,19) = strpad('beta_P_i in component delayed_rectifying_potassium_current_P_i_gate (per_second)'); LEGEND_ALGEBRAIC(:,65) = strpad('i_B_Na in component linear_background_current (nanoA)'); LEGEND_ALGEBRAIC(:,72) = strpad('i_B_Ca in component linear_background_current (nanoA)'); LEGEND_ALGEBRAIC(:,68) = strpad('i_B_K in component linear_background_current (nanoA)'); LEGEND_CONSTANTS(:,12) = strpad('g_B_Na in component linear_background_current (microS)'); LEGEND_CONSTANTS(:,13) = strpad('g_B_Ca in component linear_background_current (microS)'); LEGEND_CONSTANTS(:,14) = strpad('g_B_K in component linear_background_current (microS)'); LEGEND_ALGEBRAIC(:,71) = strpad('E_Ca in component reversal_potentials (millivolt)'); LEGEND_CONSTANTS(:,47) = strpad('F_ACh_bNa in component linear_background_current (dimensionless)'); LEGEND_ALGEBRAIC(:,44) = strpad('i_f_Na in component hyperpolarisation_activated_current (nanoA)'); LEGEND_ALGEBRAIC(:,45) = strpad('i_f_K in component hyperpolarisation_activated_current (nanoA)'); LEGEND_CONSTANTS(:,15) = strpad('g_f_Na in component hyperpolarisation_activated_current (microS)'); LEGEND_CONSTANTS(:,16) = strpad('g_f_K in component hyperpolarisation_activated_current (microS)'); LEGEND_STATES(:,13) = strpad('y in component hyperpolarisation_activated_current_y_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,20) = strpad('y_infinity in component hyperpolarisation_activated_current_y_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,8) = strpad('V_half in component hyperpolarisation_activated_current_y_gate (millivolt)'); LEGEND_ALGEBRAIC(:,28) = strpad('tau_y in component hyperpolarisation_activated_current_y_gate (second)'); LEGEND_CONSTANTS(:,17) = strpad('K_m_Na in component sodium_potassium_pump (millimolar)'); LEGEND_CONSTANTS(:,18) = strpad('K_m_K in component sodium_potassium_pump (millimolar)'); LEGEND_CONSTANTS(:,19) = strpad('i_NaK_max in component sodium_potassium_pump (nanoA)'); LEGEND_ALGEBRAIC(:,47) = strpad('F_cAMP_NaK in component sodium_potassium_pump (dimensionless)'); LEGEND_STATES(:,14) = strpad('Na_i in component intracellular_concentrations_and_buffer_equations (millimolar)'); LEGEND_STATES(:,15) = strpad('K_c in component cleft_space_equations (millimolar)'); LEGEND_STATES(:,16) = strpad('Ca_i in component intracellular_concentrations_and_buffer_equations (millimolar)'); LEGEND_CONSTANTS(:,20) = strpad('i_Ca_P_max in component calcium_pump_current (nanoA)'); LEGEND_CONSTANTS(:,21) = strpad('K_NaCa in component sodium_calcium_pump (nanoA)'); LEGEND_CONSTANTS(:,22) = strpad('d_NaCa in component sodium_calcium_pump (dimensionless)'); LEGEND_CONSTANTS(:,23) = strpad('gamma in component sodium_calcium_pump (dimensionless)'); LEGEND_STATES(:,17) = strpad('Ca_c in component cleft_space_equations (millimolar)'); LEGEND_ALGEBRAIC(:,69) = strpad('I_K_ACh in component muscarinic_potassium_current (nanoA)'); LEGEND_CONSTANTS(:,53) = strpad('g_K_ACh in component muscarinic_potassium_current (microS)'); LEGEND_CONSTANTS(:,24) = strpad('g_K_ACh_base in component muscarinic_potassium_current (microS)'); LEGEND_CONSTANTS(:,48) = strpad('P_M2_KACh in component muscarinic_potassium_current (dimensionless)'); LEGEND_STATES(:,18) = strpad('a in component muscarinic_potassium_current (dimensionless)'); LEGEND_ALGEBRAIC(:,9) = strpad('alpha_a in component muscarinic_potassium_current (per_second)'); LEGEND_CONSTANTS(:,49) = strpad('beta_a in component muscarinic_potassium_current (per_second)'); LEGEND_CONSTANTS(:,25) = strpad('f_Vagal in component cAMP_balance (per_second)'); LEGEND_STATES(:,19) = strpad('K_i in component intracellular_concentrations_and_buffer_equations (millimolar)'); LEGEND_STATES(:,20) = strpad('Ca_Calmod in component intracellular_concentrations_and_buffer_equations (dimensionless)'); LEGEND_STATES(:,21) = strpad('Ca_Trop in component intracellular_concentrations_and_buffer_equations (dimensionless)'); LEGEND_STATES(:,22) = strpad('Ca_Mg_Trop in component intracellular_concentrations_and_buffer_equations (dimensionless)'); LEGEND_STATES(:,23) = strpad('Mg_Mg_Trop in component intracellular_concentrations_and_buffer_equations (dimensionless)'); LEGEND_ALGEBRAIC(:,51) = strpad('phi_C in component intracellular_concentrations_and_buffer_equations (per_second)'); LEGEND_ALGEBRAIC(:,52) = strpad('phi_TC in component intracellular_concentrations_and_buffer_equations (per_second)'); LEGEND_ALGEBRAIC(:,53) = strpad('phi_TMgC in component intracellular_concentrations_and_buffer_equations (per_second)'); LEGEND_ALGEBRAIC(:,11) = strpad('phi_TMgM in component intracellular_concentrations_and_buffer_equations (per_second)'); LEGEND_ALGEBRAIC(:,57) = strpad('phi_B in component intracellular_concentrations_and_buffer_equations (millimolar_per_second)'); LEGEND_CONSTANTS(:,26) = strpad('Mg_i in component intracellular_concentrations_and_buffer_equations (millimolar)'); LEGEND_ALGEBRAIC(:,54) = strpad('F_C in component intracellular_concentrations_and_buffer_equations (millimolar_per_second)'); LEGEND_ALGEBRAIC(:,55) = strpad('F_TC in component intracellular_concentrations_and_buffer_equations (millimolar_per_second)'); LEGEND_ALGEBRAIC(:,56) = strpad('F_TMgC in component intracellular_concentrations_and_buffer_equations (millimolar_per_second)'); LEGEND_CONSTANTS(:,27) = strpad('Vol in component cleft_space_equations (mm_cubed)'); LEGEND_CONSTANTS(:,50) = strpad('V_i in component intracellular_concentrations_and_buffer_equations (mm_cubed)'); LEGEND_ALGEBRAIC(:,62) = strpad('i_up in component SR_Ca_uptake_and_release (nanoA)'); LEGEND_ALGEBRAIC(:,60) = strpad('i_rel in component SR_Ca_uptake_and_release (nanoA)'); LEGEND_CONSTANTS(:,28) = strpad('Na_b in component cleft_space_equations (millimolar)'); LEGEND_CONSTANTS(:,29) = strpad('Ca_b in component cleft_space_equations (millimolar)'); LEGEND_CONSTANTS(:,51) = strpad('V_c in component cleft_space_equations (mm_cubed)'); LEGEND_CONSTANTS(:,30) = strpad('tau_p in component cleft_space_equations (second)'); LEGEND_STATES(:,24) = strpad('Ca_up in component SR_Ca_uptake_and_release (millimolar)'); LEGEND_CONSTANTS(:,31) = strpad('alpha_up in component SR_Ca_uptake_and_release (nanoA)'); LEGEND_CONSTANTS(:,32) = strpad('beta_up in component SR_Ca_uptake_and_release (nanoA)'); LEGEND_STATES(:,25) = strpad('Ca_rel in component SR_Ca_uptake_and_release (millimolar)'); LEGEND_CONSTANTS(:,33) = strpad('alpha_rel in component SR_Ca_uptake_and_release (nanoA_per_millimolar)'); LEGEND_ALGEBRAIC(:,61) = strpad('i_tr in component SR_Ca_uptake_and_release (nanoA)'); LEGEND_CONSTANTS(:,52) = strpad('K1 in component SR_Ca_uptake_and_release (dimensionless)'); LEGEND_ALGEBRAIC(:,58) = strpad('K2 in component SR_Ca_uptake_and_release (millimolar)'); LEGEND_CONSTANTS(:,34) = strpad('k_cyca in component SR_Ca_uptake_and_release (millimolar)'); LEGEND_CONSTANTS(:,35) = strpad('k_xcs in component SR_Ca_uptake_and_release (dimensionless)'); LEGEND_CONSTANTS(:,36) = strpad('k_SRCa in component SR_Ca_uptake_and_release (millimolar)'); LEGEND_CONSTANTS(:,37) = strpad('k_rel in component SR_Ca_uptake_and_release (millimolar)'); LEGEND_ALGEBRAIC(:,12) = strpad('r_act in component SR_Ca_uptake_and_release (per_second)'); LEGEND_ALGEBRAIC(:,22) = strpad('r_inact in component SR_Ca_uptake_and_release (per_second)'); LEGEND_STATES(:,26) = strpad('Ca_Calse in component SR_Ca_uptake_and_release (dimensionless)'); LEGEND_ALGEBRAIC(:,59) = strpad('phi_Calse in component SR_Ca_uptake_and_release (per_second)'); LEGEND_STATES(:,27) = strpad('F1 in component SR_Ca_uptake_and_release (dimensionless)'); LEGEND_STATES(:,28) = strpad('F2 in component SR_Ca_uptake_and_release (dimensionless)'); LEGEND_STATES(:,29) = strpad('F3 in component SR_Ca_uptake_and_release (dimensionless)'); LEGEND_CONSTANTS(:,54) = strpad('V_up in component SR_Ca_uptake_and_release (mm_cubed)'); LEGEND_CONSTANTS(:,55) = strpad('V_rel in component SR_Ca_uptake_and_release (mm_cubed)'); LEGEND_CONSTANTS(:,38) = strpad('cGMP in component cAMP_balance (millimolar)'); LEGEND_CONSTANTS(:,39) = strpad('Iso in component cAMP_balance (millimolar)'); LEGEND_CONSTANTS(:,40) = strpad('Km_Iso in component cAMP_balance (millimolar)'); LEGEND_CONSTANTS(:,41) = strpad('Km_ACh in component cAMP_balance (millimolar)'); LEGEND_CONSTANTS(:,42) = strpad('K_PDE in component cAMP_balance (dimensionless)'); LEGEND_CONSTANTS(:,43) = strpad('K_ADC in component cAMP_balance (millimolar_per_second)'); LEGEND_CONSTANTS(:,44) = strpad('V_PDE in component cAMP_balance (per_second)'); LEGEND_CONSTANTS(:,45) = strpad('P_M2_ADC in component cAMP_balance (dimensionless)'); LEGEND_RATES(:,1) = strpad('d/dt V in component membrane (millivolt)'); LEGEND_RATES(:,3) = strpad('d/dt m in component sodium_current_m_gate (dimensionless)'); LEGEND_RATES(:,4) = strpad('d/dt h1 in component sodium_current_h_gate (dimensionless)'); LEGEND_RATES(:,5) = strpad('d/dt h2 in component sodium_current_h_gate (dimensionless)'); LEGEND_RATES(:,7) = strpad('d/dt d_L in component L_type_Ca_channel_d_gate (dimensionless)'); LEGEND_RATES(:,8) = strpad('d/dt f_L in component L_type_Ca_channel_f_gate (dimensionless)'); LEGEND_RATES(:,9) = strpad('d/dt d_T in component T_type_Ca_channel_d_gate (dimensionless)'); LEGEND_RATES(:,10) = strpad('d/dt f_T in component T_type_Ca_channel_f_gate (dimensionless)'); LEGEND_RATES(:,11) = strpad('d/dt P_a in component delayed_rectifying_potassium_current_P_a_gate (dimensionless)'); LEGEND_RATES(:,12) = strpad('d/dt P_i in component delayed_rectifying_potassium_current_P_i_gate (dimensionless)'); LEGEND_RATES(:,13) = strpad('d/dt y in component hyperpolarisation_activated_current_y_gate (dimensionless)'); LEGEND_RATES(:,18) = strpad('d/dt a in component muscarinic_potassium_current (dimensionless)'); LEGEND_RATES(:,20) = strpad('d/dt Ca_Calmod in component intracellular_concentrations_and_buffer_equations (dimensionless)'); LEGEND_RATES(:,21) = strpad('d/dt Ca_Trop in component intracellular_concentrations_and_buffer_equations (dimensionless)'); LEGEND_RATES(:,22) = strpad('d/dt Ca_Mg_Trop in component intracellular_concentrations_and_buffer_equations (dimensionless)'); LEGEND_RATES(:,23) = strpad('d/dt Mg_Mg_Trop in component intracellular_concentrations_and_buffer_equations (dimensionless)'); LEGEND_RATES(:,14) = strpad('d/dt Na_i in component intracellular_concentrations_and_buffer_equations (millimolar)'); LEGEND_RATES(:,19) = strpad('d/dt K_i in component intracellular_concentrations_and_buffer_equations (millimolar)'); LEGEND_RATES(:,16) = strpad('d/dt Ca_i in component intracellular_concentrations_and_buffer_equations (millimolar)'); LEGEND_RATES(:,2) = strpad('d/dt Na_c in component cleft_space_equations (millimolar)'); LEGEND_RATES(:,15) = strpad('d/dt K_c in component cleft_space_equations (millimolar)'); LEGEND_RATES(:,17) = strpad('d/dt Ca_c in component cleft_space_equations (millimolar)'); LEGEND_RATES(:,26) = strpad('d/dt Ca_Calse in component SR_Ca_uptake_and_release (dimensionless)'); LEGEND_RATES(:,27) = strpad('d/dt F1 in component SR_Ca_uptake_and_release (dimensionless)'); LEGEND_RATES(:,28) = strpad('d/dt F2 in component SR_Ca_uptake_and_release (dimensionless)'); LEGEND_RATES(:,29) = strpad('d/dt F3 in component SR_Ca_uptake_and_release (dimensionless)'); LEGEND_RATES(:,24) = strpad('d/dt Ca_up in component SR_Ca_uptake_and_release (millimolar)'); LEGEND_RATES(:,25) = strpad('d/dt Ca_rel in component SR_Ca_uptake_and_release (millimolar)'); LEGEND_RATES(:,6) = strpad('d/dt cAMP in component cAMP_balance (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) = -49.54105; CONSTANTS(:,1) = 8314.472; CONSTANTS(:,2) = 310; CONSTANTS(:,3) = 96485.3415; CONSTANTS(:,4) = 5.5e-5; CONSTANTS(:,5) = 0.00344; STATES(:,2) = 139.9988; CONSTANTS(:,6) = 0; STATES(:,3) = 0.250113; STATES(:,4) = 0.001386897; STATES(:,5) = 0.002065463; CONSTANTS(:,7) = 0.02115; STATES(:,6) = 3e-3; CONSTANTS(:,8) = 46.4; STATES(:,7) = 0.002572773; STATES(:,8) = 0.98651; CONSTANTS(:,9) = 0.02521; CONSTANTS(:,10) = 45; STATES(:,9) = 0.02012114; STATES(:,10) = 0.1945111; CONSTANTS(:,11) = 5.4; STATES(:,11) = 0.02302278; STATES(:,12) = 0.3777728; CONSTANTS(:,12) = 0.00016; CONSTANTS(:,13) = 0.0000364; CONSTANTS(:,14) = 0.0000694; CONSTANTS(:,15) = 0.0067478; CONSTANTS(:,16) = 0.0128821; STATES(:,13) = 0.09227776; CONSTANTS(:,17) = 5.46; CONSTANTS(:,18) = 0.621; CONSTANTS(:,19) = 0.2192; STATES(:,14) = 9.701621; STATES(:,15) = 5.389014; STATES(:,16) = 3.787018e-4; CONSTANTS(:,20) = 0.02869; CONSTANTS(:,21) = 0.00001248; CONSTANTS(:,22) = 0.0001; CONSTANTS(:,23) = 0.5; STATES(:,17) = 2.00474; CONSTANTS(:,24) = 7.833e-3; STATES(:,18) = 0; CONSTANTS(:,25) = 200; STATES(:,19) = 1.407347e2; STATES(:,20) = 0.1411678; STATES(:,21) = 0.07331396; STATES(:,22) = 0.7618549; STATES(:,23) = 0.2097049; CONSTANTS(:,26) = 2.5; CONSTANTS(:,27) = 3.497e-6; CONSTANTS(:,28) = 140; CONSTANTS(:,29) = 2; CONSTANTS(:,30) = 0.01; STATES(:,24) = 16.95311; CONSTANTS(:,31) = 0.08; CONSTANTS(:,32) = 0.072; STATES(:,25) = 16.85024; CONSTANTS(:,33) = 0.5; CONSTANTS(:,34) = 0.00005; CONSTANTS(:,35) = 0.9; CONSTANTS(:,36) = 22; CONSTANTS(:,37) = 0.004; STATES(:,26) = 0.9528726; STATES(:,27) = 0.1133251; STATES(:,28) = 0.0007594214; STATES(:,29) = 0.8859153; CONSTANTS(:,38) = 2e-3; CONSTANTS(:,39) = 0; CONSTANTS(:,40) = 0.14e-3; CONSTANTS(:,41) = 0.14e-3; CONSTANTS(:,42) = 6; CONSTANTS(:,43) = 8e-3; CONSTANTS(:,44) = 20; CONSTANTS(:,45) = 0.02; CONSTANTS(:,46) = 1.00000 - CONSTANTS(:,6)./(CONSTANTS(:,6)+0.00100000); CONSTANTS(:,47) = 1.00000 - CONSTANTS(:,6)./(CONSTANTS(:,6)+0.500000); CONSTANTS(:,48) = piecewise({CONSTANTS(:,25)<100.000&CONSTANTS(:,25)>25.0000, 1.02600./(1.00000+exp((CONSTANTS(:,25)+11.0500)./ - 7.50950)) - 0.990000 }, 0.000600000); CONSTANTS(:,49) = 12.3200./(1.00000+0.00420000./CONSTANTS(:,6)); CONSTANTS(:,50) = 0.465000.*CONSTANTS(:,27); CONSTANTS(:,51) = 0.136000.*CONSTANTS(:,27); CONSTANTS(:,52) = ( CONSTANTS(:,34).*CONSTANTS(:,35))./CONSTANTS(:,36); CONSTANTS(:,53) = CONSTANTS(:,48).*CONSTANTS(:,24); CONSTANTS(:,54) = 0.0116600.*CONSTANTS(:,50); CONSTANTS(:,55) = 0.00129600.*CONSTANTS(:,50); 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(:,6) = 1.00000.*( CONSTANTS(:,43).*((1.00000+CONSTANTS(:,39)./(CONSTANTS(:,39)+CONSTANTS(:,40))) - ( CONSTANTS(:,45).*CONSTANTS(:,6))./( CONSTANTS(:,45).*CONSTANTS(:,6)+CONSTANTS(:,41))) - ( CONSTANTS(:,44).*CONSTANTS(:,38).*STATES(:,6))./(STATES(:,6)+ CONSTANTS(:,42).*CONSTANTS(:,38))); ALGEBRAIC(:,9) = 17.0000.*exp( 0.0133000.*(STATES(:,1)+40.0000)); RATES(:,18) = CONSTANTS(:,49).*(1.00000 - STATES(:,18)) - ALGEBRAIC(:,9).*STATES(:,18); ALGEBRAIC(:,11) = 1290.00.*CONSTANTS(:,26).*(1.00000 - (STATES(:,22)+STATES(:,23))) - 429.000.*STATES(:,23); RATES(:,23) = ALGEBRAIC(:,11); ALGEBRAIC(:,12) = 240.000.*exp( (STATES(:,1) - 40.0000).*0.0800000)+ 240.000.*power(STATES(:,16)./(STATES(:,16)+CONSTANTS(:,37)), 4.00000); RATES(:,27) = 0.960000.*STATES(:,29) - ALGEBRAIC(:,12).*STATES(:,27); ALGEBRAIC(:,18) = 1.00000./( 17.0000.*exp( 0.0398000.*STATES(:,1))+ 2.11000.*exp( - 0.0510000.*STATES(:,1))); ALGEBRAIC(:,6) = 1.00000./(1.00000+exp((STATES(:,1)+5.10000)./ - 7.40000)); RATES(:,11) = (ALGEBRAIC(:,6) - STATES(:,11))./ALGEBRAIC(:,18); ALGEBRAIC(:,7) = 100.000.*exp( - 0.0183000.*STATES(:,1)); ALGEBRAIC(:,19) = 656.000.*exp( 0.00942000.*STATES(:,1)); RATES(:,12) = ALGEBRAIC(:,7).*(1.00000 - STATES(:,12)) - ALGEBRAIC(:,19).*STATES(:,12); ALGEBRAIC(:,22) = 40.0000+ 240.000.*power(STATES(:,16)./(STATES(:,16)+CONSTANTS(:,37)), 4.00000); RATES(:,28) = ALGEBRAIC(:,12).*STATES(:,27) - ALGEBRAIC(:,22).*STATES(:,28); RATES(:,29) = ALGEBRAIC(:,22).*STATES(:,28) - 0.960000.*STATES(:,29); ALGEBRAIC(:,8) = 20.5000./(1.00000+exp((STATES(:,6) - 0.00340000)./ - 0.000500000)) - 78.5600; ALGEBRAIC(:,20) = 1.00000./(1.00000+exp((STATES(:,1) - ALGEBRAIC(:,8))./9.00000)); ALGEBRAIC(:,28) = 1.00000./( 1.64830.*exp((STATES(:,1)+54.0600)./ - 24.3300)+14.0106./(0.700000+exp((STATES(:,1)+60.0000)./ - 5.50000))); RATES(:,13) = (ALGEBRAIC(:,20) - STATES(:,13))./ALGEBRAIC(:,28); ALGEBRAIC(:,1) = ( - 824.000.*(STATES(:,1)+51.9000))./(exp((STATES(:,1)+51.9000)./ - 8.90000) - 1.00000); ALGEBRAIC(:,13) = 32960.0.*exp((STATES(:,1)+51.9000)./ - 8.90000); ALGEBRAIC(:,23) = ALGEBRAIC(:,1)./(ALGEBRAIC(:,1)+ALGEBRAIC(:,13)); ALGEBRAIC(:,30) = 1.00000./(ALGEBRAIC(:,1)+ALGEBRAIC(:,13))+1.50000e-05; RATES(:,3) = (ALGEBRAIC(:,23) - STATES(:,3))./ALGEBRAIC(:,30); ALGEBRAIC(:,2) = 165.000.*exp((STATES(:,1)+101.300)./ - 12.6000); ALGEBRAIC(:,14) = 12360.0./( 320.000.*exp((STATES(:,1)+101.300)./ - 12.6000)+1.00000); ALGEBRAIC(:,24) = ALGEBRAIC(:,2)./(ALGEBRAIC(:,2)+ALGEBRAIC(:,14)); ALGEBRAIC(:,31) = 1.00000./(ALGEBRAIC(:,2)+ALGEBRAIC(:,14)); RATES(:,4) = (ALGEBRAIC(:,24) - STATES(:,4))./ALGEBRAIC(:,31); ALGEBRAIC(:,32) = 1.00000./(1.00000+exp((STATES(:,1)+30.0000)./5.00000)); ALGEBRAIC(:,3) = ( 3.75000.*(STATES(:,1)+28.0000))./(exp((STATES(:,1)+28.0000)./4.00000) - 1.00000); ALGEBRAIC(:,15) = 30.0000./(1.00000+exp((STATES(:,1)+28.0000)./ - 4.00000)); ALGEBRAIC(:,25) = 1.00000./(ALGEBRAIC(:,3)+ALGEBRAIC(:,15)); RATES(:,8) = (ALGEBRAIC(:,32) - STATES(:,8))./ALGEBRAIC(:,25); ALGEBRAIC(:,33) = 1.00000./(1.00000+exp((STATES(:,1)+26.3000)./ - 6.00000)); ALGEBRAIC(:,4) = 1068.00.*exp((STATES(:,1)+26.3000)./30.0000); ALGEBRAIC(:,16) = 1068.00.*exp((STATES(:,1)+26.3000)./ - 30.0000); ALGEBRAIC(:,26) = 1.00000./(ALGEBRAIC(:,4)+ALGEBRAIC(:,16)); RATES(:,9) = (ALGEBRAIC(:,33) - STATES(:,9))./ALGEBRAIC(:,26); ALGEBRAIC(:,34) = 1.00000./(1.00000+exp((STATES(:,1)+61.7000)./5.60000)); ALGEBRAIC(:,5) = 15.3000.*exp((STATES(:,1)+61.7000)./ - 83.3000); ALGEBRAIC(:,17) = 15.0000.*exp((STATES(:,1)+61.7000)./15.3800); ALGEBRAIC(:,27) = 1.00000./(ALGEBRAIC(:,5)+ALGEBRAIC(:,17)); RATES(:,10) = (ALGEBRAIC(:,34) - STATES(:,10))./ALGEBRAIC(:,27); ALGEBRAIC(:,36) = ALGEBRAIC(:,24); ALGEBRAIC(:,38) = 20.0000.*ALGEBRAIC(:,31); RATES(:,5) = (ALGEBRAIC(:,36) - STATES(:,5))./ALGEBRAIC(:,38); ALGEBRAIC(:,39) = 1.00000./(1.00000+exp((STATES(:,1)+14.1000)./ - 6.00000)); ALGEBRAIC(:,29) = ( - 28.3900.*(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(:,35) = ( 11.4300.*(STATES(:,1) - 5.00000))./(exp( 0.400000.*(STATES(:,1) - 5.00000)) - 1.00000); ALGEBRAIC(:,37) = 1.00000./(ALGEBRAIC(:,29)+ALGEBRAIC(:,35)); RATES(:,7) = (ALGEBRAIC(:,39) - STATES(:,7))./ALGEBRAIC(:,37); ALGEBRAIC(:,51) = 129000..*STATES(:,16).*(1.00000 - STATES(:,20)) - 307.000.*STATES(:,20); RATES(:,20) = ALGEBRAIC(:,51); ALGEBRAIC(:,52) = 50500.0.*STATES(:,16).*(1.00000 - STATES(:,21)) - 252.000.*STATES(:,21); RATES(:,21) = ALGEBRAIC(:,52); ALGEBRAIC(:,53) = 129000..*STATES(:,16).*(1.00000 - (STATES(:,22)+STATES(:,23))) - 4.25000.*STATES(:,22); RATES(:,22) = ALGEBRAIC(:,53); ALGEBRAIC(:,59) = 770.000.*STATES(:,25).*(1.00000 - STATES(:,26)) - 641.000.*STATES(:,26); RATES(:,26) = ALGEBRAIC(:,59); ALGEBRAIC(:,60) = CONSTANTS(:,33).*power(STATES(:,28)./(STATES(:,28)+0.250000), 2.00000).*STATES(:,25); ALGEBRAIC(:,61) = ( (STATES(:,24) - STATES(:,25)).*2.00000.*CONSTANTS(:,3).*CONSTANTS(:,54))./0.0641800; RATES(:,25) = (ALGEBRAIC(:,61) - ALGEBRAIC(:,60))./( 2.00000.*CONSTANTS(:,55).*CONSTANTS(:,3)) - 11.4800.*ALGEBRAIC(:,59); ALGEBRAIC(:,58) = STATES(:,16)+ STATES(:,24).*CONSTANTS(:,52)+ CONSTANTS(:,34).*CONSTANTS(:,35)+CONSTANTS(:,34); ALGEBRAIC(:,62) = ( CONSTANTS(:,31).*STATES(:,16) - CONSTANTS(:,32).*STATES(:,24).*CONSTANTS(:,52))./ALGEBRAIC(:,58); RATES(:,24) = (ALGEBRAIC(:,62) - ALGEBRAIC(:,61))./( 2.00000.*CONSTANTS(:,54).*CONSTANTS(:,3)); ALGEBRAIC(:,63) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(STATES(:,2)./STATES(:,14)); ALGEBRAIC(:,64) = ( (( CONSTANTS(:,46).*CONSTANTS(:,5).*power(STATES(:,3), 3.00000).*STATES(:,4).*STATES(:,5).*STATES(:,2).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*(exp(( (STATES(:,1) - ALGEBRAIC(:,63)).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000))./(exp(( STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000); ALGEBRAIC(:,47) = 1.60000./(1.00000+exp((STATES(:,6) - 0.00375000)./ - 0.000150000))+0.990000; ALGEBRAIC(:,48) = piecewise({STATES(:,16)<0.000150000, ( (2.00000 - ALGEBRAIC(:,47)).*CONSTANTS(:,19).*power(STATES(:,14)./(CONSTANTS(:,17)+STATES(:,14)), 3.00000).*power(STATES(:,15)./(CONSTANTS(:,18)+STATES(:,15)), 2.00000).*1.60000)./(1.50000+exp((STATES(:,1)+60.0000)./ - 40.0000)) }, ( ALGEBRAIC(:,47).*CONSTANTS(:,19).*power(STATES(:,14)./(CONSTANTS(:,17)+STATES(:,14)), 3.00000).*power(STATES(:,15)./(CONSTANTS(:,18)+STATES(:,15)), 2.00000).*1.60000)./(1.50000+exp((STATES(:,1)+60.0000)./ - 40.0000))); ALGEBRAIC(:,50) = ( CONSTANTS(:,21).*( power(STATES(:,14), 3.00000).*STATES(:,17).*exp( 0.0374300.*STATES(:,1).*CONSTANTS(:,23)) - power(STATES(:,2), 3.00000).*STATES(:,16).*exp( 0.0374300.*STATES(:,1).*(CONSTANTS(:,23) - 1.00000))))./(1.00000+ CONSTANTS(:,22).*( STATES(:,16).*power(STATES(:,2), 3.00000)+ STATES(:,17).*power(STATES(:,14), 3.00000))); ALGEBRAIC(:,65) = CONSTANTS(:,47).*CONSTANTS(:,12).*(STATES(:,1) - ALGEBRAIC(:,63)); ALGEBRAIC(:,44) = CONSTANTS(:,15).*power(STATES(:,13), 2.00000).*(STATES(:,1) - 75.0000); RATES(:,14) = - ( 3.00000.*ALGEBRAIC(:,48)+ 3.00000.*ALGEBRAIC(:,50)+ALGEBRAIC(:,65)+ALGEBRAIC(:,44)+ALGEBRAIC(:,64))./( CONSTANTS(:,3).*CONSTANTS(:,50)); RATES(:,2) = (CONSTANTS(:,28) - STATES(:,2))./CONSTANTS(:,30)+(ALGEBRAIC(:,64)+ 3.00000.*ALGEBRAIC(:,50)+ 3.00000.*ALGEBRAIC(:,48)+ALGEBRAIC(:,65)+ALGEBRAIC(:,44))./( CONSTANTS(:,3).*CONSTANTS(:,51)); ALGEBRAIC(:,42) = 0.620000.*(1.00000+( 2.61290.*STATES(:,6))./(STATES(:,6)+0.00900000)) - 0.0250000; ALGEBRAIC(:,43) = ALGEBRAIC(:,42).*0.00693000.*power(CONSTANTS(:,11)./1.00000, 0.590000); ALGEBRAIC(:,66) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(STATES(:,15)./STATES(:,19)); ALGEBRAIC(:,67) = ALGEBRAIC(:,43).*STATES(:,11).*STATES(:,12).*(STATES(:,1) - ALGEBRAIC(:,66)); ALGEBRAIC(:,68) = CONSTANTS(:,14).*(STATES(:,1) - ALGEBRAIC(:,66)); ALGEBRAIC(:,45) = CONSTANTS(:,16).*power(STATES(:,13), 2.00000).*(STATES(:,1)+85.0000); RATES(:,19) = ( 2.00000.*ALGEBRAIC(:,48) - (ALGEBRAIC(:,67)+ALGEBRAIC(:,45)+ALGEBRAIC(:,68)))./( CONSTANTS(:,3).*CONSTANTS(:,50)); RATES(:,15) = (CONSTANTS(:,11) - STATES(:,15))./CONSTANTS(:,30)+( - 2.00000.*ALGEBRAIC(:,48)+ALGEBRAIC(:,67)+ALGEBRAIC(:,68)+ALGEBRAIC(:,45))./( CONSTANTS(:,3).*CONSTANTS(:,51)); ALGEBRAIC(:,41) = CONSTANTS(:,9).*STATES(:,9).*STATES(:,10).*(STATES(:,1) - CONSTANTS(:,10)); ALGEBRAIC(:,10) = 0.400000.*(1.00000+( 4.50000.*STATES(:,6))./(STATES(:,6)+0.00650000))+0.0315700; ALGEBRAIC(:,21) = CONSTANTS(:,7).*ALGEBRAIC(:,10); ALGEBRAIC(:,40) = ALGEBRAIC(:,21).*( STATES(:,8).*STATES(:,7)+ 0.0950000.*ALGEBRAIC(:,39)).*(STATES(:,1) - CONSTANTS(:,8)); ALGEBRAIC(:,49) = ( CONSTANTS(:,20).*STATES(:,16))./(STATES(:,16)+0.000400000); ALGEBRAIC(:,71) = (( 0.500000.*CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(STATES(:,17)./STATES(:,16)); ALGEBRAIC(:,72) = CONSTANTS(:,13).*(STATES(:,1) - ALGEBRAIC(:,71)); ALGEBRAIC(:,54) = 0.0900000.*ALGEBRAIC(:,51); ALGEBRAIC(:,55) = 0.0310000.*ALGEBRAIC(:,52); ALGEBRAIC(:,56) = 0.0620000.*ALGEBRAIC(:,53); ALGEBRAIC(:,57) = ALGEBRAIC(:,54)+ALGEBRAIC(:,55)+ALGEBRAIC(:,56); RATES(:,16) = (( 2.00000.*ALGEBRAIC(:,50)+ALGEBRAIC(:,60)) - (ALGEBRAIC(:,40)+ALGEBRAIC(:,41)+ALGEBRAIC(:,49)+ALGEBRAIC(:,72)+ALGEBRAIC(:,62)))./( 2.00000.*CONSTANTS(:,50).*CONSTANTS(:,3)) - ALGEBRAIC(:,57); RATES(:,17) = (CONSTANTS(:,29) - STATES(:,17))./CONSTANTS(:,30)+( - 2.00000.*ALGEBRAIC(:,50)+ALGEBRAIC(:,40)+ALGEBRAIC(:,41)+ALGEBRAIC(:,49)+ALGEBRAIC(:,72))./( 2.00000.*CONSTANTS(:,3).*CONSTANTS(:,51)); ALGEBRAIC(:,46) = ALGEBRAIC(:,44)+ALGEBRAIC(:,45); ALGEBRAIC(:,73) = ALGEBRAIC(:,65)+ALGEBRAIC(:,72)+ALGEBRAIC(:,68); ALGEBRAIC(:,69) = CONSTANTS(:,53).*(STATES(:,1) - ALGEBRAIC(:,66)); ALGEBRAIC(:,70) = STATES(:,18).*ALGEBRAIC(:,69); RATES(:,1) = - (ALGEBRAIC(:,64)+ALGEBRAIC(:,41)+ALGEBRAIC(:,40)+ALGEBRAIC(:,67)+ALGEBRAIC(:,46)+ALGEBRAIC(:,73)+ALGEBRAIC(:,48)+ALGEBRAIC(:,50)+ALGEBRAIC(:,49)+ALGEBRAIC(:,70))./CONSTANTS(:,4); RATES = RATES'; end % Calculate algebraic variables function ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI) statesSize = size(STATES); statesColumnCount = statesSize(2); if ( statesColumnCount == 1) STATES = STATES'; utilOnes = 1; else statesRowCount = statesSize(1); utilOnes = ones(statesRowCount, 1); end ALGEBRAIC(:,9) = 17.0000.*exp( 0.0133000.*(STATES(:,1)+40.0000)); ALGEBRAIC(:,11) = 1290.00.*CONSTANTS(:,26).*(1.00000 - (STATES(:,22)+STATES(:,23))) - 429.000.*STATES(:,23); ALGEBRAIC(:,12) = 240.000.*exp( (STATES(:,1) - 40.0000).*0.0800000)+ 240.000.*power(STATES(:,16)./(STATES(:,16)+CONSTANTS(:,37)), 4.00000); ALGEBRAIC(:,18) = 1.00000./( 17.0000.*exp( 0.0398000.*STATES(:,1))+ 2.11000.*exp( - 0.0510000.*STATES(:,1))); ALGEBRAIC(:,6) = 1.00000./(1.00000+exp((STATES(:,1)+5.10000)./ - 7.40000)); ALGEBRAIC(:,7) = 100.000.*exp( - 0.0183000.*STATES(:,1)); ALGEBRAIC(:,19) = 656.000.*exp( 0.00942000.*STATES(:,1)); ALGEBRAIC(:,22) = 40.0000+ 240.000.*power(STATES(:,16)./(STATES(:,16)+CONSTANTS(:,37)), 4.00000); ALGEBRAIC(:,8) = 20.5000./(1.00000+exp((STATES(:,6) - 0.00340000)./ - 0.000500000)) - 78.5600; ALGEBRAIC(:,20) = 1.00000./(1.00000+exp((STATES(:,1) - ALGEBRAIC(:,8))./9.00000)); ALGEBRAIC(:,28) = 1.00000./( 1.64830.*exp((STATES(:,1)+54.0600)./ - 24.3300)+14.0106./(0.700000+exp((STATES(:,1)+60.0000)./ - 5.50000))); ALGEBRAIC(:,1) = ( - 824.000.*(STATES(:,1)+51.9000))./(exp((STATES(:,1)+51.9000)./ - 8.90000) - 1.00000); ALGEBRAIC(:,13) = 32960.0.*exp((STATES(:,1)+51.9000)./ - 8.90000); ALGEBRAIC(:,23) = ALGEBRAIC(:,1)./(ALGEBRAIC(:,1)+ALGEBRAIC(:,13)); ALGEBRAIC(:,30) = 1.00000./(ALGEBRAIC(:,1)+ALGEBRAIC(:,13))+1.50000e-05; ALGEBRAIC(:,2) = 165.000.*exp((STATES(:,1)+101.300)./ - 12.6000); ALGEBRAIC(:,14) = 12360.0./( 320.000.*exp((STATES(:,1)+101.300)./ - 12.6000)+1.00000); ALGEBRAIC(:,24) = ALGEBRAIC(:,2)./(ALGEBRAIC(:,2)+ALGEBRAIC(:,14)); ALGEBRAIC(:,31) = 1.00000./(ALGEBRAIC(:,2)+ALGEBRAIC(:,14)); ALGEBRAIC(:,32) = 1.00000./(1.00000+exp((STATES(:,1)+30.0000)./5.00000)); ALGEBRAIC(:,3) = ( 3.75000.*(STATES(:,1)+28.0000))./(exp((STATES(:,1)+28.0000)./4.00000) - 1.00000); ALGEBRAIC(:,15) = 30.0000./(1.00000+exp((STATES(:,1)+28.0000)./ - 4.00000)); ALGEBRAIC(:,25) = 1.00000./(ALGEBRAIC(:,3)+ALGEBRAIC(:,15)); ALGEBRAIC(:,33) = 1.00000./(1.00000+exp((STATES(:,1)+26.3000)./ - 6.00000)); ALGEBRAIC(:,4) = 1068.00.*exp((STATES(:,1)+26.3000)./30.0000); ALGEBRAIC(:,16) = 1068.00.*exp((STATES(:,1)+26.3000)./ - 30.0000); ALGEBRAIC(:,26) = 1.00000./(ALGEBRAIC(:,4)+ALGEBRAIC(:,16)); ALGEBRAIC(:,34) = 1.00000./(1.00000+exp((STATES(:,1)+61.7000)./5.60000)); ALGEBRAIC(:,5) = 15.3000.*exp((STATES(:,1)+61.7000)./ - 83.3000); ALGEBRAIC(:,17) = 15.0000.*exp((STATES(:,1)+61.7000)./15.3800); ALGEBRAIC(:,27) = 1.00000./(ALGEBRAIC(:,5)+ALGEBRAIC(:,17)); ALGEBRAIC(:,36) = ALGEBRAIC(:,24); ALGEBRAIC(:,38) = 20.0000.*ALGEBRAIC(:,31); ALGEBRAIC(:,39) = 1.00000./(1.00000+exp((STATES(:,1)+14.1000)./ - 6.00000)); ALGEBRAIC(:,29) = ( - 28.3900.*(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(:,35) = ( 11.4300.*(STATES(:,1) - 5.00000))./(exp( 0.400000.*(STATES(:,1) - 5.00000)) - 1.00000); ALGEBRAIC(:,37) = 1.00000./(ALGEBRAIC(:,29)+ALGEBRAIC(:,35)); ALGEBRAIC(:,51) = 129000..*STATES(:,16).*(1.00000 - STATES(:,20)) - 307.000.*STATES(:,20); ALGEBRAIC(:,52) = 50500.0.*STATES(:,16).*(1.00000 - STATES(:,21)) - 252.000.*STATES(:,21); ALGEBRAIC(:,53) = 129000..*STATES(:,16).*(1.00000 - (STATES(:,22)+STATES(:,23))) - 4.25000.*STATES(:,22); ALGEBRAIC(:,59) = 770.000.*STATES(:,25).*(1.00000 - STATES(:,26)) - 641.000.*STATES(:,26); ALGEBRAIC(:,60) = CONSTANTS(:,33).*power(STATES(:,28)./(STATES(:,28)+0.250000), 2.00000).*STATES(:,25); ALGEBRAIC(:,61) = ( (STATES(:,24) - STATES(:,25)).*2.00000.*CONSTANTS(:,3).*CONSTANTS(:,54))./0.0641800; ALGEBRAIC(:,58) = STATES(:,16)+ STATES(:,24).*CONSTANTS(:,52)+ CONSTANTS(:,34).*CONSTANTS(:,35)+CONSTANTS(:,34); ALGEBRAIC(:,62) = ( CONSTANTS(:,31).*STATES(:,16) - CONSTANTS(:,32).*STATES(:,24).*CONSTANTS(:,52))./ALGEBRAIC(:,58); ALGEBRAIC(:,63) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(STATES(:,2)./STATES(:,14)); ALGEBRAIC(:,64) = ( (( CONSTANTS(:,46).*CONSTANTS(:,5).*power(STATES(:,3), 3.00000).*STATES(:,4).*STATES(:,5).*STATES(:,2).*STATES(:,1).*power(CONSTANTS(:,3), 2.00000))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*(exp(( (STATES(:,1) - ALGEBRAIC(:,63)).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000))./(exp(( STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000); ALGEBRAIC(:,47) = 1.60000./(1.00000+exp((STATES(:,6) - 0.00375000)./ - 0.000150000))+0.990000; ALGEBRAIC(:,48) = piecewise({STATES(:,16)<0.000150000, ( (2.00000 - ALGEBRAIC(:,47)).*CONSTANTS(:,19).*power(STATES(:,14)./(CONSTANTS(:,17)+STATES(:,14)), 3.00000).*power(STATES(:,15)./(CONSTANTS(:,18)+STATES(:,15)), 2.00000).*1.60000)./(1.50000+exp((STATES(:,1)+60.0000)./ - 40.0000)) }, ( ALGEBRAIC(:,47).*CONSTANTS(:,19).*power(STATES(:,14)./(CONSTANTS(:,17)+STATES(:,14)), 3.00000).*power(STATES(:,15)./(CONSTANTS(:,18)+STATES(:,15)), 2.00000).*1.60000)./(1.50000+exp((STATES(:,1)+60.0000)./ - 40.0000))); ALGEBRAIC(:,50) = ( CONSTANTS(:,21).*( power(STATES(:,14), 3.00000).*STATES(:,17).*exp( 0.0374300.*STATES(:,1).*CONSTANTS(:,23)) - power(STATES(:,2), 3.00000).*STATES(:,16).*exp( 0.0374300.*STATES(:,1).*(CONSTANTS(:,23) - 1.00000))))./(1.00000+ CONSTANTS(:,22).*( STATES(:,16).*power(STATES(:,2), 3.00000)+ STATES(:,17).*power(STATES(:,14), 3.00000))); ALGEBRAIC(:,65) = CONSTANTS(:,47).*CONSTANTS(:,12).*(STATES(:,1) - ALGEBRAIC(:,63)); ALGEBRAIC(:,44) = CONSTANTS(:,15).*power(STATES(:,13), 2.00000).*(STATES(:,1) - 75.0000); ALGEBRAIC(:,42) = 0.620000.*(1.00000+( 2.61290.*STATES(:,6))./(STATES(:,6)+0.00900000)) - 0.0250000; ALGEBRAIC(:,43) = ALGEBRAIC(:,42).*0.00693000.*power(CONSTANTS(:,11)./1.00000, 0.590000); ALGEBRAIC(:,66) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(STATES(:,15)./STATES(:,19)); ALGEBRAIC(:,67) = ALGEBRAIC(:,43).*STATES(:,11).*STATES(:,12).*(STATES(:,1) - ALGEBRAIC(:,66)); ALGEBRAIC(:,68) = CONSTANTS(:,14).*(STATES(:,1) - ALGEBRAIC(:,66)); ALGEBRAIC(:,45) = CONSTANTS(:,16).*power(STATES(:,13), 2.00000).*(STATES(:,1)+85.0000); ALGEBRAIC(:,41) = CONSTANTS(:,9).*STATES(:,9).*STATES(:,10).*(STATES(:,1) - CONSTANTS(:,10)); ALGEBRAIC(:,10) = 0.400000.*(1.00000+( 4.50000.*STATES(:,6))./(STATES(:,6)+0.00650000))+0.0315700; ALGEBRAIC(:,21) = CONSTANTS(:,7).*ALGEBRAIC(:,10); ALGEBRAIC(:,40) = ALGEBRAIC(:,21).*( STATES(:,8).*STATES(:,7)+ 0.0950000.*ALGEBRAIC(:,39)).*(STATES(:,1) - CONSTANTS(:,8)); ALGEBRAIC(:,49) = ( CONSTANTS(:,20).*STATES(:,16))./(STATES(:,16)+0.000400000); ALGEBRAIC(:,71) = (( 0.500000.*CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(STATES(:,17)./STATES(:,16)); ALGEBRAIC(:,72) = CONSTANTS(:,13).*(STATES(:,1) - ALGEBRAIC(:,71)); ALGEBRAIC(:,54) = 0.0900000.*ALGEBRAIC(:,51); ALGEBRAIC(:,55) = 0.0310000.*ALGEBRAIC(:,52); ALGEBRAIC(:,56) = 0.0620000.*ALGEBRAIC(:,53); ALGEBRAIC(:,57) = ALGEBRAIC(:,54)+ALGEBRAIC(:,55)+ALGEBRAIC(:,56); ALGEBRAIC(:,46) = ALGEBRAIC(:,44)+ALGEBRAIC(:,45); ALGEBRAIC(:,73) = ALGEBRAIC(:,65)+ALGEBRAIC(:,72)+ALGEBRAIC(:,68); ALGEBRAIC(:,69) = CONSTANTS(:,53).*(STATES(:,1) - ALGEBRAIC(:,66)); ALGEBRAIC(:,70) = STATES(:,18).*ALGEBRAIC(:,69); 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