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 =54; end % There are a total of 26 entries in each of the rate and state variable arrays. % There are a total of 71 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 (millijoule_per_mole_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(:,27) = strpad('i_Na in component sodium_current (nanoA)'); LEGEND_ALGEBRAIC(:,28) = strpad('i_Ca_L in component L_type_Ca_channel (nanoA)'); LEGEND_ALGEBRAIC(:,30) = strpad('i_t in component Ca_independent_transient_outward_K_current (nanoA)'); LEGEND_ALGEBRAIC(:,31) = strpad('i_ss in component steady_state_outward_K_current (nanoA)'); LEGEND_ALGEBRAIC(:,35) = strpad('i_f in component hyperpolarisation_activated_current (nanoA)'); LEGEND_ALGEBRAIC(:,32) = strpad('i_K1 in component inward_rectifier (nanoA)'); LEGEND_ALGEBRAIC(:,39) = strpad('i_B in component background_currents (nanoA)'); LEGEND_ALGEBRAIC(:,40) = strpad('i_NaK in component sodium_potassium_pump (nanoA)'); LEGEND_ALGEBRAIC(:,42) = strpad('i_NaCa in component Na_Ca_ion_exchanger_current (nanoA)'); LEGEND_ALGEBRAIC(:,41) = strpad('i_Ca_P in component sarcolemmal_calcium_pump_current (nanoA)'); LEGEND_ALGEBRAIC(:,14) = strpad('i_Stim in component membrane (nanoA)'); LEGEND_CONSTANTS(:,5) = strpad('stim_period in component membrane (second)'); LEGEND_CONSTANTS(:,6) = strpad('stim_duration in component membrane (second)'); LEGEND_CONSTANTS(:,7) = strpad('stim_amplitude in component membrane (nanoA)'); LEGEND_ALGEBRAIC(:,26) = strpad('E_Na in component sodium_current (millivolt)'); LEGEND_CONSTANTS(:,8) = strpad('g_Na in component sodium_current (microS)'); LEGEND_CONSTANTS(:,67) = strpad('g_Na_endo in component sodium_current (microS)'); LEGEND_STATES(:,2) = strpad('Na_i in component intracellular_ion_concentrations (millimolar)'); LEGEND_CONSTANTS(:,9) = strpad('Na_o in component standard_ionic_concentrations (millimolar)'); LEGEND_STATES(:,3) = strpad('m in component sodium_current_m_gate (dimensionless)'); LEGEND_STATES(:,4) = strpad('h in component sodium_current_h_gate (dimensionless)'); LEGEND_STATES(:,5) = strpad('j in component sodium_current_j_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,1) = strpad('m_infinity in component sodium_current_m_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,15) = strpad('tau_m in component sodium_current_m_gate (second)'); LEGEND_ALGEBRAIC(:,2) = strpad('h_infinity in component sodium_current_h_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,16) = strpad('tau_h in component sodium_current_h_gate (second)'); LEGEND_ALGEBRAIC(:,3) = strpad('j_infinity in component sodium_current_j_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,17) = strpad('tau_j in component sodium_current_j_gate (second)'); LEGEND_CONSTANTS(:,10) = strpad('g_Ca_L in component L_type_Ca_channel (microS)'); LEGEND_CONSTANTS(:,11) = strpad('E_Ca_L in component L_type_Ca_channel (millivolt)'); LEGEND_STATES(:,6) = strpad('Ca_ss in component intracellular_ion_concentrations (millimolar)'); LEGEND_STATES(:,7) = strpad('d in component L_type_Ca_channel_d_gate (dimensionless)'); LEGEND_STATES(:,8) = strpad('f_11 in component L_type_Ca_channel_f_11_gate (dimensionless)'); LEGEND_STATES(:,9) = strpad('f_12 in component L_type_Ca_channel_f_12_gate (dimensionless)'); LEGEND_STATES(:,10) = strpad('Ca_inact in component L_type_Ca_channel_Ca_inact_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,4) = strpad('d_infinity in component L_type_Ca_channel_d_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,18) = strpad('tau_d in component L_type_Ca_channel_d_gate (second)'); LEGEND_ALGEBRAIC(:,5) = strpad('f_11_infinity in component L_type_Ca_channel_f_11_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,19) = strpad('tau_f_11 in component L_type_Ca_channel_f_11_gate (second)'); LEGEND_ALGEBRAIC(:,6) = strpad('f_12_infinity in component L_type_Ca_channel_f_12_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,20) = strpad('tau_f_12 in component L_type_Ca_channel_f_12_gate (second)'); LEGEND_CONSTANTS(:,12) = strpad('tau_Ca_inact in component L_type_Ca_channel_Ca_inact_gate (second)'); LEGEND_ALGEBRAIC(:,7) = strpad('Ca_inact_infinity in component L_type_Ca_channel_Ca_inact_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,29) = strpad('E_K in component Ca_independent_transient_outward_K_current (millivolt)'); LEGEND_CONSTANTS(:,13) = strpad('g_t in component Ca_independent_transient_outward_K_current (microS)'); LEGEND_CONSTANTS(:,68) = strpad('g_t_endo in component Ca_independent_transient_outward_K_current (microS)'); LEGEND_CONSTANTS(:,14) = strpad('a in component Ca_independent_transient_outward_K_current (dimensionless)'); LEGEND_CONSTANTS(:,15) = strpad('b in component Ca_independent_transient_outward_K_current (dimensionless)'); LEGEND_CONSTANTS(:,16) = strpad('K_o in component standard_ionic_concentrations (millimolar)'); LEGEND_STATES(:,11) = strpad('K_i in component intracellular_ion_concentrations (millimolar)'); LEGEND_STATES(:,12) = strpad('r in component Ca_independent_transient_outward_K_current_r_gate (dimensionless)'); LEGEND_STATES(:,13) = strpad('s in component Ca_independent_transient_outward_K_current_s_gate (dimensionless)'); LEGEND_STATES(:,14) = strpad('s_slow in component Ca_independent_transient_outward_K_current_s_slow_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,21) = strpad('tau_r in component Ca_independent_transient_outward_K_current_r_gate (second)'); LEGEND_ALGEBRAIC(:,8) = strpad('r_infinity in component Ca_independent_transient_outward_K_current_r_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,22) = strpad('tau_s in component Ca_independent_transient_outward_K_current_s_gate (second)'); LEGEND_ALGEBRAIC(:,9) = strpad('s_infinity in component Ca_independent_transient_outward_K_current_s_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,23) = strpad('tau_s_slow in component Ca_independent_transient_outward_K_current_s_slow_gate (second)'); LEGEND_ALGEBRAIC(:,10) = strpad('s_slow_infinity in component Ca_independent_transient_outward_K_current_s_slow_gate (dimensionless)'); LEGEND_CONSTANTS(:,17) = strpad('g_ss in component steady_state_outward_K_current (microS)'); LEGEND_STATES(:,15) = strpad('r_ss in component steady_state_outward_K_current_r_ss_gate (dimensionless)'); LEGEND_STATES(:,16) = strpad('s_ss in component steady_state_outward_K_current_s_ss_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,24) = strpad('tau_r_ss in component steady_state_outward_K_current_r_ss_gate (second)'); LEGEND_ALGEBRAIC(:,11) = strpad('r_ss_infinity in component steady_state_outward_K_current_r_ss_gate (dimensionless)'); LEGEND_CONSTANTS(:,69) = strpad('tau_s_ss in component steady_state_outward_K_current_s_ss_gate (second)'); LEGEND_ALGEBRAIC(:,12) = strpad('s_ss_infinity in component steady_state_outward_K_current_s_ss_gate (dimensionless)'); LEGEND_CONSTANTS(:,18) = strpad('g_K1 in component inward_rectifier (microS)'); LEGEND_ALGEBRAIC(:,33) = strpad('i_f_Na in component hyperpolarisation_activated_current (nanoA)'); LEGEND_ALGEBRAIC(:,34) = strpad('i_f_K in component hyperpolarisation_activated_current (nanoA)'); LEGEND_CONSTANTS(:,19) = strpad('g_f in component hyperpolarisation_activated_current (microS)'); LEGEND_CONSTANTS(:,20) = strpad('f_Na in component hyperpolarisation_activated_current (dimensionless)'); LEGEND_CONSTANTS(:,70) = strpad('f_K in component hyperpolarisation_activated_current (dimensionless)'); LEGEND_STATES(:,17) = strpad('y in component hyperpolarisation_activated_current_y_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,25) = strpad('tau_y in component hyperpolarisation_activated_current_y_gate (second)'); LEGEND_ALGEBRAIC(:,13) = strpad('y_infinity in component hyperpolarisation_activated_current_y_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,36) = strpad('i_B_Na in component background_currents (nanoA)'); LEGEND_ALGEBRAIC(:,37) = strpad('i_B_Ca in component background_currents (nanoA)'); LEGEND_ALGEBRAIC(:,38) = strpad('i_B_K in component background_currents (nanoA)'); LEGEND_CONSTANTS(:,21) = strpad('g_B_Na in component background_currents (microS)'); LEGEND_CONSTANTS(:,22) = strpad('g_B_Ca in component background_currents (microS)'); LEGEND_CONSTANTS(:,23) = strpad('g_B_K in component background_currents (microS)'); LEGEND_CONSTANTS(:,24) = strpad('E_Ca in component background_currents (millivolt)'); LEGEND_CONSTANTS(:,25) = strpad('Ca_o in component standard_ionic_concentrations (millimolar)'); LEGEND_STATES(:,18) = strpad('Ca_i in component intracellular_ion_concentrations (millimolar)'); LEGEND_CONSTANTS(:,26) = strpad('i_NaK_max in component sodium_potassium_pump (nanoA)'); LEGEND_CONSTANTS(:,27) = strpad('K_m_K in component sodium_potassium_pump (millimolar)'); LEGEND_CONSTANTS(:,28) = strpad('K_m_Na in component sodium_potassium_pump (millimolar)'); LEGEND_CONSTANTS(:,71) = strpad('sigma in component sodium_potassium_pump (dimensionless)'); LEGEND_CONSTANTS(:,29) = strpad('i_Ca_P_max in component sarcolemmal_calcium_pump_current (nanoA)'); LEGEND_CONSTANTS(:,30) = strpad('K_NaCa in component Na_Ca_ion_exchanger_current (millimolar_4)'); LEGEND_CONSTANTS(:,31) = strpad('d_NaCa in component Na_Ca_ion_exchanger_current (millimolar_4)'); LEGEND_CONSTANTS(:,32) = strpad('gamma_NaCa in component Na_Ca_ion_exchanger_current (dimensionless)'); LEGEND_ALGEBRAIC(:,43) = strpad('J_rel in component SR_Ca_release_channel (millimolar_per_second)'); LEGEND_CONSTANTS(:,33) = strpad('v1 in component SR_Ca_release_channel (per_second)'); LEGEND_CONSTANTS(:,34) = strpad('k_a_plus in component SR_Ca_release_channel (millimolar4_per_second)'); LEGEND_CONSTANTS(:,35) = strpad('k_a_minus in component SR_Ca_release_channel (per_second)'); LEGEND_CONSTANTS(:,36) = strpad('k_b_plus in component SR_Ca_release_channel (millimolar3_per_second)'); LEGEND_CONSTANTS(:,37) = strpad('k_b_minus in component SR_Ca_release_channel (per_second)'); LEGEND_CONSTANTS(:,38) = strpad('k_c_plus in component SR_Ca_release_channel (per_second)'); LEGEND_CONSTANTS(:,39) = strpad('k_c_minus in component SR_Ca_release_channel (per_second)'); LEGEND_STATES(:,19) = strpad('P_O1 in component SR_Ca_release_channel (dimensionless)'); LEGEND_STATES(:,20) = strpad('P_O2 in component SR_Ca_release_channel (dimensionless)'); LEGEND_STATES(:,21) = strpad('P_C1 in component SR_Ca_release_channel (dimensionless)'); LEGEND_STATES(:,22) = strpad('P_C2 in component SR_Ca_release_channel (dimensionless)'); LEGEND_CONSTANTS(:,40) = strpad('n in component SR_Ca_release_channel (dimensionless)'); LEGEND_CONSTANTS(:,41) = strpad('m in component SR_Ca_release_channel (dimensionless)'); LEGEND_STATES(:,23) = strpad('Ca_JSR in component intracellular_ion_concentrations (millimolar)'); LEGEND_ALGEBRAIC(:,46) = strpad('J_up in component SERCA2a_pump (millimolar_per_second)'); LEGEND_CONSTANTS(:,42) = strpad('K_fb in component SERCA2a_pump (millimolar)'); LEGEND_CONSTANTS(:,43) = strpad('K_rb in component SERCA2a_pump (millimolar)'); LEGEND_ALGEBRAIC(:,44) = strpad('fb in component SERCA2a_pump (dimensionless)'); LEGEND_ALGEBRAIC(:,45) = strpad('rb in component SERCA2a_pump (dimensionless)'); LEGEND_CONSTANTS(:,44) = strpad('Vmaxf in component SERCA2a_pump (millimolar_per_second)'); LEGEND_CONSTANTS(:,45) = strpad('Vmaxr in component SERCA2a_pump (millimolar_per_second)'); LEGEND_CONSTANTS(:,46) = strpad('K_SR in component SERCA2a_pump (dimensionless)'); LEGEND_CONSTANTS(:,47) = strpad('N_fb in component SERCA2a_pump (dimensionless)'); LEGEND_CONSTANTS(:,48) = strpad('N_rb in component SERCA2a_pump (dimensionless)'); LEGEND_STATES(:,24) = strpad('Ca_NSR in component intracellular_ion_concentrations (millimolar)'); LEGEND_ALGEBRAIC(:,48) = strpad('J_tr in component intracellular_and_SR_Ca_fluxes (millimolar_per_second)'); LEGEND_ALGEBRAIC(:,47) = strpad('J_xfer in component intracellular_and_SR_Ca_fluxes (millimolar_per_second)'); LEGEND_ALGEBRAIC(:,53) = strpad('J_trpn in component intracellular_and_SR_Ca_fluxes (millimolar_per_second)'); LEGEND_CONSTANTS(:,49) = strpad('tau_tr in component intracellular_and_SR_Ca_fluxes (second)'); LEGEND_CONSTANTS(:,50) = strpad('tau_xfer in component intracellular_and_SR_Ca_fluxes (second)'); LEGEND_STATES(:,25) = strpad('HTRPNCa in component intracellular_and_SR_Ca_fluxes (millimolar)'); LEGEND_STATES(:,26) = strpad('LTRPNCa in component intracellular_and_SR_Ca_fluxes (millimolar)'); LEGEND_ALGEBRAIC(:,49) = strpad('J_HTRPNCa in component intracellular_and_SR_Ca_fluxes (millimolar_per_second)'); LEGEND_ALGEBRAIC(:,52) = strpad('J_LTRPNCa in component intracellular_and_SR_Ca_fluxes (millimolar_per_second)'); LEGEND_CONSTANTS(:,51) = strpad('HTRPN_tot in component intracellular_and_SR_Ca_fluxes (millimolar)'); LEGEND_CONSTANTS(:,52) = strpad('LTRPN_tot in component intracellular_and_SR_Ca_fluxes (millimolar)'); LEGEND_CONSTANTS(:,53) = strpad('k_htrpn_plus in component intracellular_and_SR_Ca_fluxes (millimolar_per_second)'); LEGEND_CONSTANTS(:,54) = strpad('k_htrpn_minus in component intracellular_and_SR_Ca_fluxes (per_second)'); LEGEND_CONSTANTS(:,55) = strpad('k_ltrpn_plus in component intracellular_and_SR_Ca_fluxes (millimolar_per_second)'); LEGEND_CONSTANTS(:,56) = strpad('k_ltrpn_minus in component intracellular_and_SR_Ca_fluxes (per_second)'); LEGEND_CONSTANTS(:,57) = strpad('V_myo in component intracellular_ion_concentrations (micro_litre)'); LEGEND_CONSTANTS(:,58) = strpad('V_JSR in component intracellular_ion_concentrations (micro_litre)'); LEGEND_CONSTANTS(:,59) = strpad('V_NSR in component intracellular_ion_concentrations (micro_litre)'); LEGEND_CONSTANTS(:,60) = strpad('V_SS in component intracellular_ion_concentrations (micro_litre)'); LEGEND_CONSTANTS(:,61) = strpad('K_mCMDN in component intracellular_ion_concentrations (millimolar)'); LEGEND_CONSTANTS(:,62) = strpad('K_mCSQN in component intracellular_ion_concentrations (millimolar)'); LEGEND_CONSTANTS(:,63) = strpad('K_mEGTA in component intracellular_ion_concentrations (millimolar)'); LEGEND_CONSTANTS(:,64) = strpad('CMDN_tot in component intracellular_ion_concentrations (millimolar)'); LEGEND_CONSTANTS(:,65) = strpad('CSQN_tot in component intracellular_ion_concentrations (millimolar)'); LEGEND_CONSTANTS(:,66) = strpad('EGTA_tot in component intracellular_ion_concentrations (millimolar)'); LEGEND_ALGEBRAIC(:,54) = strpad('beta_i in component intracellular_ion_concentrations (millimolar)'); LEGEND_ALGEBRAIC(:,50) = strpad('beta_SS in component intracellular_ion_concentrations (millimolar)'); LEGEND_ALGEBRAIC(:,51) = strpad('beta_JSR in component intracellular_ion_concentrations (millimolar)'); 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 h in component sodium_current_h_gate (dimensionless)'); LEGEND_RATES(:,5) = strpad('d/dt j in component sodium_current_j_gate (dimensionless)'); LEGEND_RATES(:,7) = strpad('d/dt d in component L_type_Ca_channel_d_gate (dimensionless)'); LEGEND_RATES(:,8) = strpad('d/dt f_11 in component L_type_Ca_channel_f_11_gate (dimensionless)'); LEGEND_RATES(:,9) = strpad('d/dt f_12 in component L_type_Ca_channel_f_12_gate (dimensionless)'); LEGEND_RATES(:,10) = strpad('d/dt Ca_inact in component L_type_Ca_channel_Ca_inact_gate (dimensionless)'); LEGEND_RATES(:,12) = strpad('d/dt r in component Ca_independent_transient_outward_K_current_r_gate (dimensionless)'); LEGEND_RATES(:,13) = strpad('d/dt s in component Ca_independent_transient_outward_K_current_s_gate (dimensionless)'); LEGEND_RATES(:,14) = strpad('d/dt s_slow in component Ca_independent_transient_outward_K_current_s_slow_gate (dimensionless)'); LEGEND_RATES(:,15) = strpad('d/dt r_ss in component steady_state_outward_K_current_r_ss_gate (dimensionless)'); LEGEND_RATES(:,16) = strpad('d/dt s_ss in component steady_state_outward_K_current_s_ss_gate (dimensionless)'); LEGEND_RATES(:,17) = strpad('d/dt y in component hyperpolarisation_activated_current_y_gate (dimensionless)'); LEGEND_RATES(:,21) = strpad('d/dt P_C1 in component SR_Ca_release_channel (dimensionless)'); LEGEND_RATES(:,19) = strpad('d/dt P_O1 in component SR_Ca_release_channel (dimensionless)'); LEGEND_RATES(:,20) = strpad('d/dt P_O2 in component SR_Ca_release_channel (dimensionless)'); LEGEND_RATES(:,22) = strpad('d/dt P_C2 in component SR_Ca_release_channel (dimensionless)'); LEGEND_RATES(:,25) = strpad('d/dt HTRPNCa in component intracellular_and_SR_Ca_fluxes (millimolar)'); LEGEND_RATES(:,26) = strpad('d/dt LTRPNCa in component intracellular_and_SR_Ca_fluxes (millimolar)'); LEGEND_RATES(:,18) = strpad('d/dt Ca_i in component intracellular_ion_concentrations (millimolar)'); LEGEND_RATES(:,2) = strpad('d/dt Na_i in component intracellular_ion_concentrations (millimolar)'); LEGEND_RATES(:,11) = strpad('d/dt K_i in component intracellular_ion_concentrations (millimolar)'); LEGEND_RATES(:,6) = strpad('d/dt Ca_ss in component intracellular_ion_concentrations (millimolar)'); LEGEND_RATES(:,23) = strpad('d/dt Ca_JSR in component intracellular_ion_concentrations (millimolar)'); LEGEND_RATES(:,24) = strpad('d/dt Ca_NSR in component intracellular_ion_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) = -80.50146; CONSTANTS(:,1) = 8314.5; CONSTANTS(:,2) = 295; CONSTANTS(:,3) = 96487; CONSTANTS(:,4) = 0.0001; CONSTANTS(:,5) = 1; CONSTANTS(:,6) = 5e-3; CONSTANTS(:,7) = -0.6; CONSTANTS(:,8) = 1.064; STATES(:,2) = 10.73519; CONSTANTS(:,9) = 140; STATES(:,3) = 0.004164108; STATES(:,4) = 0.6735613; STATES(:,5) = 0.6729362; CONSTANTS(:,10) = 0.025916; CONSTANTS(:,11) = 65; STATES(:,6) = 0.00008737212; STATES(:,7) = 0.000002171081; STATES(:,8) = 0.9999529; STATES(:,9) = 0.9999529; STATES(:,10) = 0.9913102; CONSTANTS(:,12) = 0.009; CONSTANTS(:,13) = 0.02975; CONSTANTS(:,14) = 0.69; CONSTANTS(:,15) = 0.31; CONSTANTS(:,16) = 5.4; STATES(:,11) = 139.2751; STATES(:,12) = 0.002191519; STATES(:,13) = 0.9842542; STATES(:,14) = 0.6421196; CONSTANTS(:,17) = 0.005929; STATES(:,15) = 0.002907171; STATES(:,16) = 0.3142767; CONSTANTS(:,18) = 0.024; CONSTANTS(:,19) = 0.00145; CONSTANTS(:,20) = 0.2; STATES(:,17) = 0.003578708; CONSTANTS(:,21) = 0.000100188; CONSTANTS(:,22) = 0.0000162; CONSTANTS(:,23) = 0.000138; CONSTANTS(:,24) = 65; CONSTANTS(:,25) = 1.2; STATES(:,18) = 0.00007901351; CONSTANTS(:,26) = 0.0504; CONSTANTS(:,27) = 1.5; CONSTANTS(:,28) = 10; CONSTANTS(:,29) = 0.004; CONSTANTS(:,30) = 0.000009984; CONSTANTS(:,31) = 0.0001; CONSTANTS(:,32) = 0.5; CONSTANTS(:,33) = 1.8e3; CONSTANTS(:,34) = 12.15e12; CONSTANTS(:,35) = 576; CONSTANTS(:,36) = 4.05e9; CONSTANTS(:,37) = 1930; CONSTANTS(:,38) = 100; CONSTANTS(:,39) = 0.8; STATES(:,19) = 0.0004327548; STATES(:,20) = 0.000000000606254; STATES(:,21) = 0.6348229; STATES(:,22) = 0.3647471; CONSTANTS(:,40) = 4; CONSTANTS(:,41) = 3; STATES(:,23) = 0.06607948; CONSTANTS(:,42) = 0.000168; CONSTANTS(:,43) = 3.29; CONSTANTS(:,44) = 0.032; CONSTANTS(:,45) = 0.9; CONSTANTS(:,46) = 0.55; CONSTANTS(:,47) = 1.2; CONSTANTS(:,48) = 1; STATES(:,24) = 0.06600742; CONSTANTS(:,49) = 0.0005747; CONSTANTS(:,50) = 0.0267; STATES(:,25) = 1.394301e-1; STATES(:,26) = 5.1619e-3; CONSTANTS(:,51) = 0.14; CONSTANTS(:,52) = 0.07; CONSTANTS(:,53) = 200000; CONSTANTS(:,54) = 0.066; CONSTANTS(:,55) = 40000; CONSTANTS(:,56) = 40; CONSTANTS(:,57) = 9.36e-6; CONSTANTS(:,58) = 0.056e-6; CONSTANTS(:,59) = 0.504e-6; CONSTANTS(:,60) = 1.2e-9; CONSTANTS(:,61) = 0.00238; CONSTANTS(:,62) = 0.8; CONSTANTS(:,63) = 0.00015; CONSTANTS(:,64) = 0.05; CONSTANTS(:,65) = 15; CONSTANTS(:,66) = 0; CONSTANTS(:,67) = 1.33000.*CONSTANTS(:,8); CONSTANTS(:,68) = 0.464700.*CONSTANTS(:,13); CONSTANTS(:,69) = 2.10000; CONSTANTS(:,70) = 1.00000 - CONSTANTS(:,20); CONSTANTS(:,71) = (exp(CONSTANTS(:,9)./67.3000) - 1.00000)./7.00000; if (isempty(STATES)), warning('Initial values for states not set');, end end function [RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS) global algebraicVariableCount; statesSize = size(STATES); statesColumnCount = statesSize(2); if ( statesColumnCount == 1) STATES = STATES'; ALGEBRAIC = zeros(1, algebraicVariableCount); utilOnes = 1; else statesRowCount = statesSize(1); ALGEBRAIC = zeros(statesRowCount, algebraicVariableCount); RATES = zeros(statesRowCount, statesColumnCount); utilOnes = ones(statesRowCount, 1); end RATES(:,21) = - CONSTANTS(:,34).*power(STATES(:,6), CONSTANTS(:,40)).*STATES(:,21)+ CONSTANTS(:,35).*STATES(:,19); RATES(:,19) = ( CONSTANTS(:,34).*power(STATES(:,6), CONSTANTS(:,40)).*STATES(:,21) - ( CONSTANTS(:,35).*STATES(:,19)+ CONSTANTS(:,36).*power(STATES(:,6), CONSTANTS(:,41)).*STATES(:,19)+ CONSTANTS(:,38).*STATES(:,19)))+ CONSTANTS(:,37).*STATES(:,20)+ CONSTANTS(:,39).*STATES(:,22); RATES(:,20) = CONSTANTS(:,36).*power(STATES(:,6), CONSTANTS(:,41)).*STATES(:,19) - CONSTANTS(:,37).*STATES(:,20); RATES(:,22) = CONSTANTS(:,38).*STATES(:,19) - CONSTANTS(:,39).*STATES(:,22); ALGEBRAIC(:,7) = 1.00000./(1.00000+STATES(:,6)./0.0100000); RATES(:,10) = (ALGEBRAIC(:,7) - STATES(:,10))./CONSTANTS(:,12); ALGEBRAIC(:,12) = 1.00000./(1.00000+exp((STATES(:,1)+87.5000)./10.3000)); RATES(:,16) = (ALGEBRAIC(:,12) - STATES(:,16))./CONSTANTS(:,69); ALGEBRAIC(:,1) = 1.00000./(1.00000+exp((STATES(:,1)+45.0000)./ - 6.50000)); ALGEBRAIC(:,15) = 0.00136000./(( 0.320000.*(STATES(:,1)+47.1300))./(1.00000 - exp( - 0.100000.*(STATES(:,1)+47.1300)))+ 0.0800000.*exp( - STATES(:,1)./11.0000)); RATES(:,3) = (ALGEBRAIC(:,1) - STATES(:,3))./ALGEBRAIC(:,15); ALGEBRAIC(:,2) = 1.00000./(1.00000+exp((STATES(:,1)+76.1000)./6.07000)); ALGEBRAIC(:,16) = piecewise({STATES(:,1)>= - 40.0000, 0.000453700.*(1.00000+exp( - (STATES(:,1)+10.6600)./11.1000)) }, 0.00349000./( 0.135000.*exp( - (STATES(:,1)+80.0000)./6.80000)+ 3.56000.*exp( 0.0790000.*STATES(:,1))+ 310000..*exp( 0.350000.*STATES(:,1)))); RATES(:,4) = (ALGEBRAIC(:,2) - STATES(:,4))./ALGEBRAIC(:,16); ALGEBRAIC(:,3) = 1.00000./(1.00000+exp((STATES(:,1)+76.1000)./6.07000)); ALGEBRAIC(:,17) = piecewise({STATES(:,1)>= - 40.0000, ( 0.0116300.*(1.00000+exp( - 0.100000.*(STATES(:,1)+32.0000))))./exp( - 2.53500e-07.*STATES(:,1)) }, 0.00349000./( ((STATES(:,1)+37.7800)./(1.00000+exp( 0.311000.*(STATES(:,1)+79.2300)))).*( - 127140..*exp( 0.244400.*STATES(:,1)) - 3.47400e-05.*exp( - 0.0439100.*STATES(:,1)))+( 0.121200.*exp( - 0.0105200.*STATES(:,1)))./(1.00000+exp( - 0.137800.*(STATES(:,1)+40.1400))))); RATES(:,5) = (ALGEBRAIC(:,3) - STATES(:,5))./ALGEBRAIC(:,17); ALGEBRAIC(:,4) = 1.00000./(1.00000+exp((STATES(:,1)+15.3000)./ - 5.00000)); ALGEBRAIC(:,18) = 0.00305000.*exp( - 0.00450000.*power(STATES(:,1)+7.00000, 2.00000))+ 0.00105000.*exp( - 0.00200000.*power(STATES(:,1) - 18.0000, 2.00000))+0.000250000; RATES(:,7) = (ALGEBRAIC(:,4) - STATES(:,7))./ALGEBRAIC(:,18); ALGEBRAIC(:,5) = 1.00000./(1.00000+exp((STATES(:,1)+26.7000)./5.40000)); ALGEBRAIC(:,19) = 0.900000.*( 0.105000.*exp( - power((STATES(:,1)+45.0000)./12.0000, 2.00000))+0.0400000./(1.00000+exp(( - STATES(:,1)+25.0000)./25.0000))+0.0150000./(1.00000+exp((STATES(:,1)+75.0000)./25.0000))+0.00170000); RATES(:,8) = (ALGEBRAIC(:,5) - STATES(:,8))./ALGEBRAIC(:,19); ALGEBRAIC(:,6) = 1.00000./(1.00000+exp((STATES(:,1)+26.7000)./5.40000)); ALGEBRAIC(:,20) = 0.0410000.*exp( - power((STATES(:,1)+47.0000)./12.0000, 2.00000))+0.0800000./(1.00000+exp((STATES(:,1)+55.0000)./ - 5.00000))+0.0150000./(1.00000+exp((STATES(:,1)+75.0000)./25.0000))+0.00170000; RATES(:,9) = (ALGEBRAIC(:,6) - STATES(:,9))./ALGEBRAIC(:,20); ALGEBRAIC(:,21) = 1.00000./( 45.1600.*exp( 0.0357700.*(STATES(:,1)+50.0000))+ 98.9000.*exp( - 0.100000.*(STATES(:,1)+38.0000))); ALGEBRAIC(:,8) = 1.00000./(1.00000+exp((STATES(:,1)+10.6000)./ - 11.4200)); RATES(:,12) = (ALGEBRAIC(:,8) - STATES(:,12))./ALGEBRAIC(:,21); ALGEBRAIC(:,22) = 0.350000.*exp( - power((STATES(:,1)+70.0000)./15.0000, 2.00000))+0.0350000; ALGEBRAIC(:,9) = 1.00000./(1.00000+exp((STATES(:,1)+45.3000)./6.88410)); RATES(:,13) = (ALGEBRAIC(:,9) - STATES(:,13))./ALGEBRAIC(:,22); ALGEBRAIC(:,23) = 3.70000.*exp(( ( - (STATES(:,1)+70.0000)./30.0000).*(STATES(:,1)+70.0000))./15.0000)+0.0350000; ALGEBRAIC(:,10) = 1.00000./(1.00000+exp((STATES(:,1)+45.3000)./6.88410)); RATES(:,14) = (ALGEBRAIC(:,10) - STATES(:,14))./ALGEBRAIC(:,23); ALGEBRAIC(:,24) = 10.0000./( 45.1600.*exp( 0.0357700.*(STATES(:,1)+50.0000))+ 98.9000.*exp( - 0.100000.*(STATES(:,1)+38.0000))); ALGEBRAIC(:,11) = 1.00000./(1.00000+exp((STATES(:,1)+11.5000)./ - 11.8200)); RATES(:,15) = (ALGEBRAIC(:,11) - STATES(:,15))./ALGEBRAIC(:,24); ALGEBRAIC(:,25) = 1.00000./( 0.118850.*exp((STATES(:,1)+80.0000)./28.3700)+ 0.562300.*exp((STATES(:,1)+80.0000)./ - 14.1900)); ALGEBRAIC(:,13) = 1.00000./(1.00000+exp((STATES(:,1)+138.600)./10.4800)); RATES(:,17) = (ALGEBRAIC(:,13) - STATES(:,17))./ALGEBRAIC(:,25); ALGEBRAIC(:,29) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,16)./STATES(:,11)); ALGEBRAIC(:,30) = CONSTANTS(:,13).*STATES(:,12).*( CONSTANTS(:,14).*STATES(:,13)+ CONSTANTS(:,15).*STATES(:,14)).*(STATES(:,1) - ALGEBRAIC(:,29)); ALGEBRAIC(:,31) = CONSTANTS(:,17).*STATES(:,15).*STATES(:,16).*(STATES(:,1) - ALGEBRAIC(:,29)); ALGEBRAIC(:,32) = ( (48.0000./(exp((STATES(:,1)+37.0000)./25.0000)+exp((STATES(:,1)+37.0000)./ - 25.0000))+10.0000).*0.00100000)./(1.00000+exp((STATES(:,1) - (ALGEBRAIC(:,29)+76.7700))./ - 17.0000))+( CONSTANTS(:,18).*(STATES(:,1) - (ALGEBRAIC(:,29)+1.73000)))./( (1.00000+exp(( 1.61300.*CONSTANTS(:,3).*(STATES(:,1) - (ALGEBRAIC(:,29)+1.73000)))./( CONSTANTS(:,1).*CONSTANTS(:,2)))).*(1.00000+exp((CONSTANTS(:,16) - 0.998800)./ - 0.124000))); ALGEBRAIC(:,40) = ( (( (( CONSTANTS(:,26).*1.00000)./(1.00000+ 0.124500.*exp(( - 0.100000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))+ 0.0365000.*CONSTANTS(:,71).*exp(( - STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*CONSTANTS(:,16))./(CONSTANTS(:,16)+CONSTANTS(:,27))).*1.00000)./(1.00000+power(CONSTANTS(:,28)./STATES(:,2), 1.50000)); ALGEBRAIC(:,34) = CONSTANTS(:,19).*STATES(:,17).*CONSTANTS(:,70).*(STATES(:,1) - ALGEBRAIC(:,29)); ALGEBRAIC(:,38) = CONSTANTS(:,23).*(STATES(:,1) - ALGEBRAIC(:,29)); RATES(:,11) = ( - (ALGEBRAIC(:,31)+ALGEBRAIC(:,38)+ALGEBRAIC(:,30)+ALGEBRAIC(:,32)+ALGEBRAIC(:,34)+ ALGEBRAIC(:,40).* - 2.00000).*1.00000)./( CONSTANTS(:,57).*CONSTANTS(:,3)); ALGEBRAIC(:,26) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,9)./STATES(:,2)); ALGEBRAIC(:,27) = CONSTANTS(:,8).*power(STATES(:,3), 3.00000).*STATES(:,4).*STATES(:,5).*(STATES(:,1) - ALGEBRAIC(:,26)); ALGEBRAIC(:,28) = CONSTANTS(:,10).*STATES(:,7).*( (0.900000+STATES(:,10)./10.0000).*STATES(:,8)+ (0.100000 - STATES(:,10)./10.0000).*STATES(:,9)).*(STATES(:,1) - CONSTANTS(:,11)); ALGEBRAIC(:,33) = CONSTANTS(:,19).*STATES(:,17).*CONSTANTS(:,20).*(STATES(:,1) - ALGEBRAIC(:,26)); ALGEBRAIC(:,35) = ALGEBRAIC(:,33)+ALGEBRAIC(:,34); ALGEBRAIC(:,36) = CONSTANTS(:,21).*(STATES(:,1) - ALGEBRAIC(:,26)); ALGEBRAIC(:,37) = CONSTANTS(:,22).*(STATES(:,1) - CONSTANTS(:,24)); ALGEBRAIC(:,39) = ALGEBRAIC(:,36)+ALGEBRAIC(:,37)+ALGEBRAIC(:,38); ALGEBRAIC(:,42) = ( CONSTANTS(:,30).*( power(STATES(:,2), 3.00000).*CONSTANTS(:,25).*exp( 0.0374300.*STATES(:,1).*CONSTANTS(:,32)) - power(CONSTANTS(:,9), 3.00000).*STATES(:,18).*exp( 0.0374300.*STATES(:,1).*(CONSTANTS(:,32) - 1.00000))))./(1.00000+ CONSTANTS(:,31).*( STATES(:,18).*power(CONSTANTS(:,9), 3.00000)+ CONSTANTS(:,25).*power(STATES(:,2), 3.00000))); ALGEBRAIC(:,41) = ( CONSTANTS(:,29).*STATES(:,18))./(STATES(:,18)+0.000400000); ALGEBRAIC(:,14) = piecewise({VOI - floor(VOI./CONSTANTS(:,5)).*CONSTANTS(:,5)>=0.00000&VOI - floor(VOI./CONSTANTS(:,5)).*CONSTANTS(:,5)<=CONSTANTS(:,6), CONSTANTS(:,7) }, 0.00000); RATES(:,1) = - (ALGEBRAIC(:,27)+ALGEBRAIC(:,28)+ALGEBRAIC(:,30)+ALGEBRAIC(:,31)+ALGEBRAIC(:,35)+ALGEBRAIC(:,32)+ALGEBRAIC(:,39)+ALGEBRAIC(:,40)+ALGEBRAIC(:,42)+ALGEBRAIC(:,41)+ALGEBRAIC(:,14))./CONSTANTS(:,4); RATES(:,2) = ( - (ALGEBRAIC(:,27)+ALGEBRAIC(:,36)+ ALGEBRAIC(:,42).*3.00000+ ALGEBRAIC(:,40).*3.00000+ALGEBRAIC(:,33)).*1.00000)./( CONSTANTS(:,57).*CONSTANTS(:,3)); ALGEBRAIC(:,44) = power(STATES(:,18)./CONSTANTS(:,42), CONSTANTS(:,47)); ALGEBRAIC(:,45) = power(STATES(:,24)./CONSTANTS(:,43), CONSTANTS(:,48)); ALGEBRAIC(:,46) = ( CONSTANTS(:,46).*( CONSTANTS(:,44).*ALGEBRAIC(:,44) - CONSTANTS(:,45).*ALGEBRAIC(:,45)))./(1.00000+ALGEBRAIC(:,44)+ALGEBRAIC(:,45)); ALGEBRAIC(:,48) = (STATES(:,24) - STATES(:,23))./CONSTANTS(:,49); RATES(:,24) = ( ALGEBRAIC(:,46).*CONSTANTS(:,57))./CONSTANTS(:,59) - ( ALGEBRAIC(:,48).*CONSTANTS(:,58))./CONSTANTS(:,59); ALGEBRAIC(:,49) = CONSTANTS(:,53).*STATES(:,18).*(CONSTANTS(:,51) - STATES(:,25)) - CONSTANTS(:,54).*STATES(:,25); RATES(:,25) = ALGEBRAIC(:,49); ALGEBRAIC(:,43) = CONSTANTS(:,33).*(STATES(:,19)+STATES(:,20)).*(STATES(:,23) - STATES(:,6)); ALGEBRAIC(:,47) = (STATES(:,6) - STATES(:,18))./CONSTANTS(:,50); ALGEBRAIC(:,50) = 1.00000./(1.00000+( CONSTANTS(:,64).*CONSTANTS(:,61))./power(CONSTANTS(:,61)+STATES(:,6), 2.00000)); RATES(:,6) = ALGEBRAIC(:,50).*((( ALGEBRAIC(:,43).*CONSTANTS(:,58))./CONSTANTS(:,60) - ( ALGEBRAIC(:,47).*CONSTANTS(:,57))./CONSTANTS(:,60)) - ( ALGEBRAIC(:,28).*1.00000)./( 2.00000.*CONSTANTS(:,60).*CONSTANTS(:,3))); ALGEBRAIC(:,51) = 1.00000./(1.00000+( CONSTANTS(:,65).*CONSTANTS(:,62))./power(CONSTANTS(:,62)+STATES(:,23), 2.00000)); RATES(:,23) = ALGEBRAIC(:,51).*(ALGEBRAIC(:,48) - ALGEBRAIC(:,43)); ALGEBRAIC(:,52) = CONSTANTS(:,55).*STATES(:,18).*(CONSTANTS(:,52) - STATES(:,26)) - CONSTANTS(:,56).*STATES(:,26); RATES(:,26) = ALGEBRAIC(:,52); ALGEBRAIC(:,53) = ALGEBRAIC(:,49)+ALGEBRAIC(:,52); ALGEBRAIC(:,54) = 1.00000./(1.00000+( CONSTANTS(:,64).*CONSTANTS(:,61))./power(CONSTANTS(:,61)+STATES(:,18), 2.00000)+( CONSTANTS(:,66).*CONSTANTS(:,63))./power(CONSTANTS(:,63)+STATES(:,18), 2.00000)); RATES(:,18) = ALGEBRAIC(:,54).*(ALGEBRAIC(:,47) - (ALGEBRAIC(:,46)+ALGEBRAIC(:,53)+( ((ALGEBRAIC(:,37) - 2.00000.*ALGEBRAIC(:,42))+ALGEBRAIC(:,41)).*1.00000)./( 2.00000.*CONSTANTS(:,57).*CONSTANTS(:,3)))); RATES = RATES'; end % Calculate algebraic variables function ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI) statesSize = size(STATES); statesColumnCount = statesSize(2); if ( statesColumnCount == 1) STATES = STATES'; utilOnes = 1; else statesRowCount = statesSize(1); utilOnes = ones(statesRowCount, 1); end ALGEBRAIC(:,7) = 1.00000./(1.00000+STATES(:,6)./0.0100000); ALGEBRAIC(:,12) = 1.00000./(1.00000+exp((STATES(:,1)+87.5000)./10.3000)); ALGEBRAIC(:,1) = 1.00000./(1.00000+exp((STATES(:,1)+45.0000)./ - 6.50000)); ALGEBRAIC(:,15) = 0.00136000./(( 0.320000.*(STATES(:,1)+47.1300))./(1.00000 - exp( - 0.100000.*(STATES(:,1)+47.1300)))+ 0.0800000.*exp( - STATES(:,1)./11.0000)); ALGEBRAIC(:,2) = 1.00000./(1.00000+exp((STATES(:,1)+76.1000)./6.07000)); ALGEBRAIC(:,16) = piecewise({STATES(:,1)>= - 40.0000, 0.000453700.*(1.00000+exp( - (STATES(:,1)+10.6600)./11.1000)) }, 0.00349000./( 0.135000.*exp( - (STATES(:,1)+80.0000)./6.80000)+ 3.56000.*exp( 0.0790000.*STATES(:,1))+ 310000..*exp( 0.350000.*STATES(:,1)))); ALGEBRAIC(:,3) = 1.00000./(1.00000+exp((STATES(:,1)+76.1000)./6.07000)); ALGEBRAIC(:,17) = piecewise({STATES(:,1)>= - 40.0000, ( 0.0116300.*(1.00000+exp( - 0.100000.*(STATES(:,1)+32.0000))))./exp( - 2.53500e-07.*STATES(:,1)) }, 0.00349000./( ((STATES(:,1)+37.7800)./(1.00000+exp( 0.311000.*(STATES(:,1)+79.2300)))).*( - 127140..*exp( 0.244400.*STATES(:,1)) - 3.47400e-05.*exp( - 0.0439100.*STATES(:,1)))+( 0.121200.*exp( - 0.0105200.*STATES(:,1)))./(1.00000+exp( - 0.137800.*(STATES(:,1)+40.1400))))); ALGEBRAIC(:,4) = 1.00000./(1.00000+exp((STATES(:,1)+15.3000)./ - 5.00000)); ALGEBRAIC(:,18) = 0.00305000.*exp( - 0.00450000.*power(STATES(:,1)+7.00000, 2.00000))+ 0.00105000.*exp( - 0.00200000.*power(STATES(:,1) - 18.0000, 2.00000))+0.000250000; ALGEBRAIC(:,5) = 1.00000./(1.00000+exp((STATES(:,1)+26.7000)./5.40000)); ALGEBRAIC(:,19) = 0.900000.*( 0.105000.*exp( - power((STATES(:,1)+45.0000)./12.0000, 2.00000))+0.0400000./(1.00000+exp(( - STATES(:,1)+25.0000)./25.0000))+0.0150000./(1.00000+exp((STATES(:,1)+75.0000)./25.0000))+0.00170000); ALGEBRAIC(:,6) = 1.00000./(1.00000+exp((STATES(:,1)+26.7000)./5.40000)); ALGEBRAIC(:,20) = 0.0410000.*exp( - power((STATES(:,1)+47.0000)./12.0000, 2.00000))+0.0800000./(1.00000+exp((STATES(:,1)+55.0000)./ - 5.00000))+0.0150000./(1.00000+exp((STATES(:,1)+75.0000)./25.0000))+0.00170000; ALGEBRAIC(:,21) = 1.00000./( 45.1600.*exp( 0.0357700.*(STATES(:,1)+50.0000))+ 98.9000.*exp( - 0.100000.*(STATES(:,1)+38.0000))); ALGEBRAIC(:,8) = 1.00000./(1.00000+exp((STATES(:,1)+10.6000)./ - 11.4200)); ALGEBRAIC(:,22) = 0.350000.*exp( - power((STATES(:,1)+70.0000)./15.0000, 2.00000))+0.0350000; ALGEBRAIC(:,9) = 1.00000./(1.00000+exp((STATES(:,1)+45.3000)./6.88410)); ALGEBRAIC(:,23) = 3.70000.*exp(( ( - (STATES(:,1)+70.0000)./30.0000).*(STATES(:,1)+70.0000))./15.0000)+0.0350000; ALGEBRAIC(:,10) = 1.00000./(1.00000+exp((STATES(:,1)+45.3000)./6.88410)); ALGEBRAIC(:,24) = 10.0000./( 45.1600.*exp( 0.0357700.*(STATES(:,1)+50.0000))+ 98.9000.*exp( - 0.100000.*(STATES(:,1)+38.0000))); ALGEBRAIC(:,11) = 1.00000./(1.00000+exp((STATES(:,1)+11.5000)./ - 11.8200)); ALGEBRAIC(:,25) = 1.00000./( 0.118850.*exp((STATES(:,1)+80.0000)./28.3700)+ 0.562300.*exp((STATES(:,1)+80.0000)./ - 14.1900)); ALGEBRAIC(:,13) = 1.00000./(1.00000+exp((STATES(:,1)+138.600)./10.4800)); ALGEBRAIC(:,29) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,16)./STATES(:,11)); ALGEBRAIC(:,30) = CONSTANTS(:,13).*STATES(:,12).*( CONSTANTS(:,14).*STATES(:,13)+ CONSTANTS(:,15).*STATES(:,14)).*(STATES(:,1) - ALGEBRAIC(:,29)); ALGEBRAIC(:,31) = CONSTANTS(:,17).*STATES(:,15).*STATES(:,16).*(STATES(:,1) - ALGEBRAIC(:,29)); ALGEBRAIC(:,32) = ( (48.0000./(exp((STATES(:,1)+37.0000)./25.0000)+exp((STATES(:,1)+37.0000)./ - 25.0000))+10.0000).*0.00100000)./(1.00000+exp((STATES(:,1) - (ALGEBRAIC(:,29)+76.7700))./ - 17.0000))+( CONSTANTS(:,18).*(STATES(:,1) - (ALGEBRAIC(:,29)+1.73000)))./( (1.00000+exp(( 1.61300.*CONSTANTS(:,3).*(STATES(:,1) - (ALGEBRAIC(:,29)+1.73000)))./( CONSTANTS(:,1).*CONSTANTS(:,2)))).*(1.00000+exp((CONSTANTS(:,16) - 0.998800)./ - 0.124000))); ALGEBRAIC(:,40) = ( (( (( CONSTANTS(:,26).*1.00000)./(1.00000+ 0.124500.*exp(( - 0.100000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))+ 0.0365000.*CONSTANTS(:,71).*exp(( - STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))).*CONSTANTS(:,16))./(CONSTANTS(:,16)+CONSTANTS(:,27))).*1.00000)./(1.00000+power(CONSTANTS(:,28)./STATES(:,2), 1.50000)); ALGEBRAIC(:,34) = CONSTANTS(:,19).*STATES(:,17).*CONSTANTS(:,70).*(STATES(:,1) - ALGEBRAIC(:,29)); ALGEBRAIC(:,38) = CONSTANTS(:,23).*(STATES(:,1) - ALGEBRAIC(:,29)); ALGEBRAIC(:,26) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,9)./STATES(:,2)); ALGEBRAIC(:,27) = CONSTANTS(:,8).*power(STATES(:,3), 3.00000).*STATES(:,4).*STATES(:,5).*(STATES(:,1) - ALGEBRAIC(:,26)); ALGEBRAIC(:,28) = CONSTANTS(:,10).*STATES(:,7).*( (0.900000+STATES(:,10)./10.0000).*STATES(:,8)+ (0.100000 - STATES(:,10)./10.0000).*STATES(:,9)).*(STATES(:,1) - CONSTANTS(:,11)); ALGEBRAIC(:,33) = CONSTANTS(:,19).*STATES(:,17).*CONSTANTS(:,20).*(STATES(:,1) - ALGEBRAIC(:,26)); ALGEBRAIC(:,35) = ALGEBRAIC(:,33)+ALGEBRAIC(:,34); ALGEBRAIC(:,36) = CONSTANTS(:,21).*(STATES(:,1) - ALGEBRAIC(:,26)); ALGEBRAIC(:,37) = CONSTANTS(:,22).*(STATES(:,1) - CONSTANTS(:,24)); ALGEBRAIC(:,39) = ALGEBRAIC(:,36)+ALGEBRAIC(:,37)+ALGEBRAIC(:,38); ALGEBRAIC(:,42) = ( CONSTANTS(:,30).*( power(STATES(:,2), 3.00000).*CONSTANTS(:,25).*exp( 0.0374300.*STATES(:,1).*CONSTANTS(:,32)) - power(CONSTANTS(:,9), 3.00000).*STATES(:,18).*exp( 0.0374300.*STATES(:,1).*(CONSTANTS(:,32) - 1.00000))))./(1.00000+ CONSTANTS(:,31).*( STATES(:,18).*power(CONSTANTS(:,9), 3.00000)+ CONSTANTS(:,25).*power(STATES(:,2), 3.00000))); ALGEBRAIC(:,41) = ( CONSTANTS(:,29).*STATES(:,18))./(STATES(:,18)+0.000400000); ALGEBRAIC(:,14) = piecewise({VOI - floor(VOI./CONSTANTS(:,5)).*CONSTANTS(:,5)>=0.00000&VOI - floor(VOI./CONSTANTS(:,5)).*CONSTANTS(:,5)<=CONSTANTS(:,6), CONSTANTS(:,7) }, 0.00000); ALGEBRAIC(:,44) = power(STATES(:,18)./CONSTANTS(:,42), CONSTANTS(:,47)); ALGEBRAIC(:,45) = power(STATES(:,24)./CONSTANTS(:,43), CONSTANTS(:,48)); ALGEBRAIC(:,46) = ( CONSTANTS(:,46).*( CONSTANTS(:,44).*ALGEBRAIC(:,44) - CONSTANTS(:,45).*ALGEBRAIC(:,45)))./(1.00000+ALGEBRAIC(:,44)+ALGEBRAIC(:,45)); ALGEBRAIC(:,48) = (STATES(:,24) - STATES(:,23))./CONSTANTS(:,49); ALGEBRAIC(:,49) = CONSTANTS(:,53).*STATES(:,18).*(CONSTANTS(:,51) - STATES(:,25)) - CONSTANTS(:,54).*STATES(:,25); ALGEBRAIC(:,43) = CONSTANTS(:,33).*(STATES(:,19)+STATES(:,20)).*(STATES(:,23) - STATES(:,6)); ALGEBRAIC(:,47) = (STATES(:,6) - STATES(:,18))./CONSTANTS(:,50); ALGEBRAIC(:,50) = 1.00000./(1.00000+( CONSTANTS(:,64).*CONSTANTS(:,61))./power(CONSTANTS(:,61)+STATES(:,6), 2.00000)); ALGEBRAIC(:,51) = 1.00000./(1.00000+( CONSTANTS(:,65).*CONSTANTS(:,62))./power(CONSTANTS(:,62)+STATES(:,23), 2.00000)); ALGEBRAIC(:,52) = CONSTANTS(:,55).*STATES(:,18).*(CONSTANTS(:,52) - STATES(:,26)) - CONSTANTS(:,56).*STATES(:,26); ALGEBRAIC(:,53) = ALGEBRAIC(:,49)+ALGEBRAIC(:,52); ALGEBRAIC(:,54) = 1.00000./(1.00000+( CONSTANTS(:,64).*CONSTANTS(:,61))./power(CONSTANTS(:,61)+STATES(:,18), 2.00000)+( CONSTANTS(:,66).*CONSTANTS(:,63))./power(CONSTANTS(:,63)+STATES(:,18), 2.00000)); 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