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 =141; end % There are a total of 37 entries in each of the rate and state variable arrays. % There are a total of 101 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 (millisecond)'); LEGEND_STATES(:,1) = strpad('Vm in component membrane (millivolt)'); LEGEND_CONSTANTS(:,1) = strpad('R in component membrane (coulomb_millivolt_per_kelvin_millimole)'); LEGEND_CONSTANTS(:,2) = strpad('T in component membrane (kelvin)'); LEGEND_CONSTANTS(:,3) = strpad('F in component membrane (coulomb_per_millimole)'); LEGEND_CONSTANTS(:,4) = strpad('Cm in component membrane (picoF)'); LEGEND_ALGEBRAIC(:,1) = strpad('i_ext in component membrane (picoA)'); LEGEND_ALGEBRAIC(:,106) = strpad('i_tot in component membrane (picoA)'); LEGEND_ALGEBRAIC(:,90) = strpad('i_I in component membrane (picoA)'); LEGEND_ALGEBRAIC(:,46) = strpad('i_Na in component sodium_current (picoA)'); LEGEND_ALGEBRAIC(:,51) = strpad('i_Ca_L in component L_type_Ca_channel (picoA)'); LEGEND_ALGEBRAIC(:,55) = strpad('i_Ca_T in component T_type_Ca_channel (picoA)'); LEGEND_ALGEBRAIC(:,71) = strpad('i_K1 in component time_independent_potassium_current (picoA)'); LEGEND_ALGEBRAIC(:,72) = strpad('i_Kr in component rapid_time_dependent_potassium_current (picoA)'); LEGEND_ALGEBRAIC(:,75) = strpad('i_Ks in component slow_time_dependent_potassium_current (picoA)'); LEGEND_ALGEBRAIC(:,78) = strpad('i_to in component transient_outward_current (picoA)'); LEGEND_ALGEBRAIC(:,104) = strpad('i_NaK in component sodium_potassium_pump (picoA)'); LEGEND_ALGEBRAIC(:,95) = strpad('i_NaCa in component sodium_calcium_exchanger (picoA)'); LEGEND_ALGEBRAIC(:,81) = strpad('i_bNSC in component background_NSC_current (picoA)'); LEGEND_ALGEBRAIC(:,89) = strpad('i_Cab in component background_Cab_current (picoA)'); LEGEND_ALGEBRAIC(:,82) = strpad('i_Kpl in component background_Kpl_current (picoA)'); LEGEND_ALGEBRAIC(:,86) = strpad('i_lCa in component background_lCa_current (picoA)'); LEGEND_ALGEBRAIC(:,88) = strpad('i_KATP in component background_KATP_current (picoA)'); LEGEND_CONSTANTS(:,5) = strpad('stim_start in component membrane (millisecond)'); LEGEND_CONSTANTS(:,6) = strpad('stim_end in component membrane (millisecond)'); LEGEND_CONSTANTS(:,7) = strpad('stim_period in component membrane (millisecond)'); LEGEND_CONSTANTS(:,8) = strpad('stim_duration in component membrane (millisecond)'); LEGEND_CONSTANTS(:,9) = strpad('stim_amplitude in component membrane (picoA)'); LEGEND_CONSTANTS(:,10) = strpad('Nao in component external_ion_concentrations (millimolar)'); LEGEND_CONSTANTS(:,11) = strpad('Cao in component external_ion_concentrations (millimolar)'); LEGEND_CONSTANTS(:,12) = strpad('Ko in component external_ion_concentrations (millimolar)'); LEGEND_STATES(:,2) = strpad('Nai in component internal_ion_concentrations (millimolar)'); LEGEND_ALGEBRAIC(:,30) = strpad('Cai in component internal_ion_concentrations (millimolar)'); LEGEND_STATES(:,3) = strpad('Ki in component internal_ion_concentrations (millimolar)'); LEGEND_CONSTANTS(:,13) = strpad('Vi in component internal_ion_concentrations (micrometre3)'); LEGEND_ALGEBRAIC(:,107) = strpad('i_net_Na in component internal_ion_concentrations (picoA)'); LEGEND_ALGEBRAIC(:,108) = strpad('i_net_K in component internal_ion_concentrations (picoA)'); LEGEND_ALGEBRAIC(:,97) = strpad('i_net_Ca in component internal_ion_concentrations (picoA)'); LEGEND_ALGEBRAIC(:,43) = strpad('i_Na_Na in component sodium_current (picoA)'); LEGEND_ALGEBRAIC(:,49) = strpad('i_CaL_Na in component L_type_Ca_channel (picoA)'); LEGEND_ALGEBRAIC(:,80) = strpad('i_bNSC_Na in component background_NSC_current (picoA)'); LEGEND_ALGEBRAIC(:,85) = strpad('i_lCa_Na in component background_lCa_current (picoA)'); LEGEND_ALGEBRAIC(:,76) = strpad('i_to_K in component transient_outward_current (picoA)'); LEGEND_ALGEBRAIC(:,77) = strpad('i_to_Na in component transient_outward_current (picoA)'); LEGEND_ALGEBRAIC(:,73) = strpad('i_Ks_K in component slow_time_dependent_potassium_current (picoA)'); LEGEND_ALGEBRAIC(:,74) = strpad('i_Ks_Na in component slow_time_dependent_potassium_current (picoA)'); LEGEND_ALGEBRAIC(:,45) = strpad('i_Na_K in component sodium_current (picoA)'); LEGEND_ALGEBRAIC(:,50) = strpad('i_CaL_K in component L_type_Ca_channel (picoA)'); LEGEND_ALGEBRAIC(:,79) = strpad('i_bNSC_K in component background_NSC_current (picoA)'); LEGEND_ALGEBRAIC(:,84) = strpad('i_lCa_K in component background_lCa_current (picoA)'); LEGEND_ALGEBRAIC(:,48) = strpad('i_CaL_Ca in component L_type_Ca_channel (picoA)'); LEGEND_ALGEBRAIC(:,127) = strpad('i_RyR in component RyR_channel (picoA)'); LEGEND_ALGEBRAIC(:,116) = strpad('i_SR_U in component SR_calcium_pump (picoA)'); LEGEND_ALGEBRAIC(:,121) = strpad('i_SR_L in component SR_L_current (picoA)'); LEGEND_ALGEBRAIC(:,141) = strpad('dCaidt in component NL_model (millimolar_per_millisecond)'); LEGEND_CONSTANTS(:,14) = strpad('CMDN_max in component internal_ion_concentrations (millimolar)'); LEGEND_CONSTANTS(:,15) = strpad('K_mCMDN in component internal_ion_concentrations (millimolar)'); LEGEND_STATES(:,4) = strpad('Ca_Total in component internal_ion_concentrations (millimolar)'); LEGEND_ALGEBRAIC(:,14) = strpad('b1 in component internal_ion_concentrations (millimolar)'); LEGEND_ALGEBRAIC(:,27) = strpad('c1 in component internal_ion_concentrations (millimolar2)'); LEGEND_ALGEBRAIC(:,33) = strpad('CF_Na in component constant_field_equations (millimolar)'); LEGEND_ALGEBRAIC(:,37) = strpad('CF_Ca in component constant_field_equations (millimolar)'); LEGEND_ALGEBRAIC(:,40) = strpad('CF_K in component constant_field_equations (millimolar)'); LEGEND_STATES(:,5) = strpad('ATPi in component ATP_production (millimolar)'); LEGEND_ALGEBRAIC(:,118) = strpad('dATPdt in component NL_model (millimolar_per_millisecond)'); LEGEND_CONSTANTS(:,16) = strpad('ProducingRate_Max in component ATP_production (per_millisecond)'); LEGEND_CONSTANTS(:,17) = strpad('Adenosine_Total in component ATP_production (millimolar)'); LEGEND_CONSTANTS(:,18) = strpad('P_Na in component sodium_current (picoA_per_millimolar)'); LEGEND_STATES(:,6) = strpad('p_AP_Na in component sodium_current_voltage_dependent_gate (dimensionless)'); LEGEND_STATES(:,7) = strpad('y in component sodium_current_ultra_slow_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,2) = strpad('p_RI_Na in component sodium_current_voltage_dependent_gate (dimensionless)'); LEGEND_STATES(:,8) = strpad('p_RP_Na in component sodium_current_voltage_dependent_gate (dimensionless)'); LEGEND_STATES(:,9) = strpad('p_AI_Na in component sodium_current_voltage_dependent_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,15) = strpad('k_RP_AP in component sodium_current_voltage_dependent_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,28) = strpad('k_AP_RP in component sodium_current_voltage_dependent_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,38) = strpad('k_RI_AI in component sodium_current_voltage_dependent_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,34) = strpad('k_AI_RI in component sodium_current_voltage_dependent_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,31) = strpad('k_AP_AI in component sodium_current_voltage_dependent_gate (per_millisecond)'); LEGEND_CONSTANTS(:,19) = strpad('k_AI_AP in component sodium_current_voltage_dependent_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,41) = strpad('k_RP_RI in component sodium_current_voltage_dependent_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,44) = strpad('k_RI_RP in component sodium_current_voltage_dependent_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,3) = strpad('alpha_y in component sodium_current_ultra_slow_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,16) = strpad('beta_y in component sodium_current_ultra_slow_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,47) = strpad('p_open_CaL in component L_type_Ca_channel (dimensionless)'); LEGEND_ALGEBRAIC(:,53) = strpad('CaDiadic in component L_type_Ca_channel_Ca_dependent_gate (picoA)'); LEGEND_CONSTANTS(:,20) = strpad('P_CaL in component L_type_Ca_channel (picoA_per_millimolar)'); LEGEND_STATES(:,10) = strpad('p_AP_CaL in component L_type_Ca_channel_voltage_dependent_gate (dimensionless)'); LEGEND_STATES(:,11) = strpad('p_U in component L_type_Ca_channel_Ca_dependent_gate (dimensionless)'); LEGEND_STATES(:,12) = strpad('p_UCa in component L_type_Ca_channel_Ca_dependent_gate (dimensionless)'); LEGEND_STATES(:,13) = strpad('y in component L_type_Ca_channel_ultra_slow_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,4) = strpad('p_RI_CaL in component L_type_Ca_channel_voltage_dependent_gate (dimensionless)'); LEGEND_STATES(:,14) = strpad('p_RP_CaL in component L_type_Ca_channel_voltage_dependent_gate (dimensionless)'); LEGEND_STATES(:,15) = strpad('p_AI_CaL in component L_type_Ca_channel_voltage_dependent_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,17) = strpad('k_RP_AP in component L_type_Ca_channel_voltage_dependent_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,29) = strpad('k_AP_RP in component L_type_Ca_channel_voltage_dependent_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,32) = strpad('k_RI_AI in component L_type_Ca_channel_voltage_dependent_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,35) = strpad('k_AI_RI in component L_type_Ca_channel_voltage_dependent_gate (per_millisecond)'); LEGEND_CONSTANTS(:,21) = strpad('k_AP_AI in component L_type_Ca_channel_voltage_dependent_gate (per_millisecond)'); LEGEND_CONSTANTS(:,22) = strpad('k_AI_AP in component L_type_Ca_channel_voltage_dependent_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,39) = strpad('k_RP_RI in component L_type_Ca_channel_voltage_dependent_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,42) = strpad('k_RI_RP in component L_type_Ca_channel_voltage_dependent_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,52) = strpad('iCaL in component L_type_Ca_channel_Ca_dependent_gate (picoA)'); LEGEND_ALGEBRAIC(:,54) = strpad('Cacm in component L_type_Ca_channel_Ca_dependent_gate (millimolar)'); LEGEND_ALGEBRAIC(:,63) = strpad('p_CCa in component L_type_Ca_channel_Ca_dependent_gate (dimensionless)'); LEGEND_STATES(:,16) = strpad('p_C in component L_type_Ca_channel_Ca_dependent_gate (dimensionless)'); LEGEND_CONSTANTS(:,23) = strpad('k_CCa_UCa in component L_type_Ca_channel_Ca_dependent_gate (per_millisecond)'); LEGEND_CONSTANTS(:,24) = strpad('k_UCa_CCa in component L_type_Ca_channel_Ca_dependent_gate (per_millisecond)'); LEGEND_CONSTANTS(:,25) = strpad('k_C_U in component L_type_Ca_channel_Ca_dependent_gate (per_millisecond)'); LEGEND_CONSTANTS(:,26) = strpad('k_U_C in component L_type_Ca_channel_Ca_dependent_gate (per_millisecond)'); LEGEND_CONSTANTS(:,93) = strpad('k_UCa_U in component L_type_Ca_channel_Ca_dependent_gate (per_millisecond)'); LEGEND_CONSTANTS(:,27) = strpad('k_U_UCa in component L_type_Ca_channel_Ca_dependent_gate (per_millimolar_millisecond)'); LEGEND_CONSTANTS(:,28) = strpad('k_CCa_C in component L_type_Ca_channel_Ca_dependent_gate (per_millisecond)'); LEGEND_CONSTANTS(:,29) = strpad('k_C_CCa in component L_type_Ca_channel_Ca_dependent_gate (per_millimolar_millisecond)'); LEGEND_ALGEBRAIC(:,56) = strpad('CaEffC in component L_type_Ca_channel_Ca_dependent_gate (millimolar)'); LEGEND_ALGEBRAIC(:,58) = strpad('CaEffU in component L_type_Ca_channel_Ca_dependent_gate (millimolar)'); LEGEND_ALGEBRAIC(:,61) = strpad('k_UUCa_Ca in component L_type_Ca_channel_Ca_dependent_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,59) = strpad('k_CCCa_Ca in component L_type_Ca_channel_Ca_dependent_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,5) = strpad('alpha_y in component L_type_Ca_channel_ultra_slow_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,18) = strpad('beta_y in component L_type_Ca_channel_ultra_slow_gate (per_millisecond)'); LEGEND_CONSTANTS(:,30) = strpad('P_CaT in component T_type_Ca_channel (picoA_per_millimolar)'); LEGEND_STATES(:,17) = strpad('y1 in component T_type_Ca_channel_y1_gate (dimensionless)'); LEGEND_STATES(:,18) = strpad('y2 in component T_type_Ca_channel_y2_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,6) = strpad('alpha_y1 in component T_type_Ca_channel_y1_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,19) = strpad('beta_y1 in component T_type_Ca_channel_y1_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,7) = strpad('alpha_y2 in component T_type_Ca_channel_y2_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,20) = strpad('beta_y2 in component T_type_Ca_channel_y2_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,57) = strpad('E_K in component time_independent_potassium_current (millivolt)'); LEGEND_CONSTANTS(:,94) = strpad('g_K1 in component time_independent_potassium_current (nanoS)'); LEGEND_CONSTANTS(:,31) = strpad('P_K1_0 in component time_independent_potassium_current (nanoS_per_picoF)'); LEGEND_ALGEBRAIC(:,65) = strpad('fO in component time_independent_potassium_current (dimensionless)'); LEGEND_ALGEBRAIC(:,66) = strpad('fO2 in component time_independent_potassium_current (dimensionless)'); LEGEND_ALGEBRAIC(:,68) = strpad('fO3 in component time_independent_potassium_current (dimensionless)'); LEGEND_ALGEBRAIC(:,70) = strpad('fO4 in component time_independent_potassium_current (dimensionless)'); LEGEND_ALGEBRAIC(:,64) = strpad('fB in component time_independent_potassium_current (dimensionless)'); LEGEND_ALGEBRAIC(:,60) = strpad('mu in component time_independent_potassium_current (per_millisecond)'); LEGEND_ALGEBRAIC(:,62) = strpad('lambda in component time_independent_potassium_current (per_millisecond)'); LEGEND_STATES(:,19) = strpad('y in component time_independent_potassium_current_y_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,67) = strpad('alpha_y in component time_independent_potassium_current_y_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,69) = strpad('beta_y in component time_independent_potassium_current_y_gate (per_millisecond)'); LEGEND_CONSTANTS(:,95) = strpad('g_Kr in component rapid_time_dependent_potassium_current (nanoS)'); LEGEND_CONSTANTS(:,32) = strpad('P_Kr in component rapid_time_dependent_potassium_current (nanoS_per_picoF)'); LEGEND_STATES(:,20) = strpad('y1 in component rapid_time_dependent_potassium_current_y1_gate (dimensionless)'); LEGEND_STATES(:,21) = strpad('y2 in component rapid_time_dependent_potassium_current_y2_gate (dimensionless)'); LEGEND_STATES(:,22) = strpad('y3 in component rapid_time_dependent_potassium_current_y3_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,8) = strpad('alpha_y1 in component rapid_time_dependent_potassium_current_y1_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,21) = strpad('beta_y1 in component rapid_time_dependent_potassium_current_y1_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,9) = strpad('alpha_y2 in component rapid_time_dependent_potassium_current_y2_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,22) = strpad('beta_y2 in component rapid_time_dependent_potassium_current_y2_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,10) = strpad('alpha_y3 in component rapid_time_dependent_potassium_current_y3_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,23) = strpad('beta_y3 in component rapid_time_dependent_potassium_current_y3_gate (per_millisecond)'); LEGEND_STATES(:,23) = strpad('y1 in component slow_time_dependent_potassium_current_y1_gate (dimensionless)'); LEGEND_STATES(:,24) = strpad('y2 in component slow_time_dependent_potassium_current_y2_gate (dimensionless)'); LEGEND_CONSTANTS(:,33) = strpad('P_Ks_K in component slow_time_dependent_potassium_current (picoA_per_millimolar)'); LEGEND_CONSTANTS(:,34) = strpad('P_Ks_Na in component slow_time_dependent_potassium_current (picoA_per_millimolar)'); LEGEND_ALGEBRAIC(:,11) = strpad('alpha_y1 in component slow_time_dependent_potassium_current_y1_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,24) = strpad('beta_y1 in component slow_time_dependent_potassium_current_y1_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,36) = strpad('alpha_y2 in component slow_time_dependent_potassium_current_y2_gate (per_millisecond)'); LEGEND_CONSTANTS(:,35) = strpad('beta_y2 in component slow_time_dependent_potassium_current_y2_gate (per_millisecond)'); LEGEND_STATES(:,25) = strpad('y1 in component transient_outward_current_y1_gate (dimensionless)'); LEGEND_STATES(:,26) = strpad('y2 in component transient_outward_current_y2_gate (dimensionless)'); LEGEND_CONSTANTS(:,36) = strpad('P_to_K in component transient_outward_current (picoA_per_millimolar)'); LEGEND_CONSTANTS(:,37) = strpad('P_to_Na in component transient_outward_current (picoA_per_millimolar)'); LEGEND_ALGEBRAIC(:,12) = strpad('alpha_y1 in component transient_outward_current_y1_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,25) = strpad('beta_y1 in component transient_outward_current_y1_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,13) = strpad('alpha_y2 in component transient_outward_current_y2_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,26) = strpad('beta_y2 in component transient_outward_current_y2_gate (per_millisecond)'); LEGEND_CONSTANTS(:,38) = strpad('P_bNSC in component background_NSC_current (picoA_per_millimolar)'); LEGEND_CONSTANTS(:,96) = strpad('P_Kpl in component background_Kpl_current (nanoS_per_millimolar)'); LEGEND_CONSTANTS(:,39) = strpad('P_lCa in component background_lCa_current (picoA_per_millimolar)'); LEGEND_ALGEBRAIC(:,83) = strpad('p_open in component background_lCa_current (dimensionless)'); LEGEND_ALGEBRAIC(:,87) = strpad('p_open in component background_KATP_current (dimensionless)'); LEGEND_CONSTANTS(:,97) = strpad('gamma in component background_KATP_current (nanoS)'); LEGEND_CONSTANTS(:,40) = strpad('P_KATP in component background_KATP_current (nanoS_per_picoF)'); LEGEND_CONSTANTS(:,41) = strpad('N in component background_KATP_current (picoF)'); LEGEND_CONSTANTS(:,42) = strpad('P_Cab in component background_Cab_current (picoA_per_millimolar)'); LEGEND_CONSTANTS(:,98) = strpad('p_E2Na in component sodium_calcium_exchanger (dimensionless)'); LEGEND_ALGEBRAIC(:,91) = strpad('p_E1Na in component sodium_calcium_exchanger (dimensionless)'); LEGEND_ALGEBRAIC(:,92) = strpad('p_E1Ca in component sodium_calcium_exchanger (dimensionless)'); LEGEND_CONSTANTS(:,101) = strpad('p_E2Ca in component sodium_calcium_exchanger (dimensionless)'); LEGEND_ALGEBRAIC(:,93) = strpad('k1 in component sodium_calcium_exchanger (per_millisecond)'); LEGEND_ALGEBRAIC(:,94) = strpad('k2 in component sodium_calcium_exchanger (per_millisecond)'); LEGEND_CONSTANTS(:,43) = strpad('k3 in component sodium_calcium_exchanger (per_millisecond)'); LEGEND_CONSTANTS(:,44) = strpad('k4 in component sodium_calcium_exchanger (per_millisecond)'); LEGEND_CONSTANTS(:,45) = strpad('Km_Nai in component sodium_calcium_exchanger (millimolar)'); LEGEND_CONSTANTS(:,46) = strpad('Km_Nao in component sodium_calcium_exchanger (millimolar)'); LEGEND_CONSTANTS(:,47) = strpad('Km_Cai in component sodium_calcium_exchanger (millimolar)'); LEGEND_CONSTANTS(:,48) = strpad('Km_Cao in component sodium_calcium_exchanger (millimolar)'); LEGEND_STATES(:,27) = strpad('y in component sodium_calcium_exchanger_y_gate (dimensionless)'); LEGEND_CONSTANTS(:,49) = strpad('P_NaCa in component sodium_calcium_exchanger (picoA_per_picoF)'); LEGEND_CONSTANTS(:,50) = strpad('Partition in component sodium_calcium_exchanger (dimensionless)'); LEGEND_ALGEBRAIC(:,96) = strpad('alpha_y in component sodium_calcium_exchanger_y_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,98) = strpad('beta_y in component sodium_calcium_exchanger_y_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,103) = strpad('p_E2Na in component sodium_potassium_pump (dimensionless)'); LEGEND_ALGEBRAIC(:,99) = strpad('p_E1Na in component sodium_potassium_pump (dimensionless)'); LEGEND_ALGEBRAIC(:,100) = strpad('p_E1K in component sodium_potassium_pump (dimensionless)'); LEGEND_ALGEBRAIC(:,105) = strpad('p_E2K in component sodium_potassium_pump (dimensionless)'); LEGEND_ALGEBRAIC(:,101) = strpad('k1 in component sodium_potassium_pump (per_millisecond)'); LEGEND_CONSTANTS(:,51) = strpad('k2 in component sodium_potassium_pump (per_millisecond)'); LEGEND_CONSTANTS(:,52) = strpad('k3 in component sodium_potassium_pump (per_millisecond)'); LEGEND_CONSTANTS(:,53) = strpad('k4 in component sodium_potassium_pump (per_millisecond)'); LEGEND_CONSTANTS(:,54) = strpad('Km_Nai in component sodium_potassium_pump (millimolar)'); LEGEND_CONSTANTS(:,55) = strpad('Km_Nao in component sodium_potassium_pump (millimolar)'); LEGEND_CONSTANTS(:,56) = strpad('Km_Ki in component sodium_potassium_pump (millimolar)'); LEGEND_CONSTANTS(:,57) = strpad('Km_Ko in component sodium_potassium_pump (millimolar)'); LEGEND_CONSTANTS(:,58) = strpad('Km_ATP in component sodium_potassium_pump (millimolar)'); LEGEND_ALGEBRAIC(:,102) = strpad('Nao_Eff in component sodium_potassium_pump (millimolar)'); LEGEND_STATES(:,28) = strpad('y in component sodium_potassium_pump_y_gate (dimensionless)'); LEGEND_CONSTANTS(:,59) = strpad('P_NaK in component sodium_potassium_pump (picoA_per_picoF)'); LEGEND_ALGEBRAIC(:,110) = strpad('alpha_y in component sodium_potassium_pump_y_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,112) = strpad('beta_y in component sodium_potassium_pump_y_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,111) = strpad('p_E2Ca in component SR_calcium_pump (dimensionless)'); LEGEND_ALGEBRAIC(:,109) = strpad('p_E1Ca in component SR_calcium_pump (dimensionless)'); LEGEND_ALGEBRAIC(:,113) = strpad('p_E1 in component SR_calcium_pump (dimensionless)'); LEGEND_ALGEBRAIC(:,114) = strpad('p_E2 in component SR_calcium_pump (dimensionless)'); LEGEND_CONSTANTS(:,60) = strpad('k1 in component SR_calcium_pump (per_millisecond)'); LEGEND_ALGEBRAIC(:,115) = strpad('k2 in component SR_calcium_pump (per_millisecond)'); LEGEND_CONSTANTS(:,61) = strpad('k3 in component SR_calcium_pump (per_millisecond)'); LEGEND_CONSTANTS(:,62) = strpad('k4 in component SR_calcium_pump (per_millisecond)'); LEGEND_CONSTANTS(:,63) = strpad('Km_CaSR in component SR_calcium_pump (millimolar)'); LEGEND_CONSTANTS(:,64) = strpad('Km_CaCyto in component SR_calcium_pump (millimolar)'); LEGEND_CONSTANTS(:,65) = strpad('Km_ATP in component SR_calcium_pump (millimolar)'); LEGEND_CONSTANTS(:,66) = strpad('i_max in component SR_calcium_pump (picoA)'); LEGEND_STATES(:,29) = strpad('Caup in component Ca_concentrations_in_SR (millimolar)'); LEGEND_STATES(:,30) = strpad('y in component SR_calcium_pump_y_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,117) = strpad('alpha_y in component SR_calcium_pump_y_gate (per_millisecond)'); LEGEND_ALGEBRAIC(:,119) = strpad('beta_y in component SR_calcium_pump_y_gate (per_millisecond)'); LEGEND_CONSTANTS(:,67) = strpad('P_RyR in component RyR_channel (picoA_per_millimolar)'); LEGEND_ALGEBRAIC(:,120) = strpad('k1 in component RyR_channel (per_millisecond)'); LEGEND_ALGEBRAIC(:,125) = strpad('k2 in component RyR_channel (per_millisecond)'); LEGEND_ALGEBRAIC(:,126) = strpad('k3 in component RyR_channel (per_millisecond)'); LEGEND_CONSTANTS(:,68) = strpad('k4 in component RyR_channel (per_millisecond)'); LEGEND_STATES(:,31) = strpad('p_open_RyR in component RyR_channel (dimensionless)'); LEGEND_STATES(:,32) = strpad('p_close_RyR in component RyR_channel (dimensionless)'); LEGEND_ALGEBRAIC(:,124) = strpad('Carel in component Ca_concentrations_in_SR (millimolar)'); LEGEND_CONSTANTS(:,69) = strpad('Diadid_Factor in component RyR_channel (per_picoA_millisecond)'); LEGEND_ALGEBRAIC(:,128) = strpad('i_SR_T in component SR_T_current (picoA)'); LEGEND_CONSTANTS(:,70) = strpad('P_SR_T in component SR_T_current (picoA_per_millimolar)'); LEGEND_CONSTANTS(:,71) = strpad('P_SR_L in component SR_L_current (picoA_per_millimolar)'); LEGEND_STATES(:,33) = strpad('Ca_Total in component Ca_concentrations_in_SR (millimolar)'); LEGEND_CONSTANTS(:,72) = strpad('V_rel in component Ca_concentrations_in_SR (micrometre3)'); LEGEND_CONSTANTS(:,73) = strpad('V_up in component Ca_concentrations_in_SR (micrometre3)'); LEGEND_CONSTANTS(:,74) = strpad('CSQN_max in component Ca_concentrations_in_SR (millimolar)'); LEGEND_CONSTANTS(:,75) = strpad('K_mCSQN in component Ca_concentrations_in_SR (millimolar)'); LEGEND_ALGEBRAIC(:,122) = strpad('b1 in component Ca_concentrations_in_SR (millimolar)'); LEGEND_ALGEBRAIC(:,123) = strpad('c1 in component Ca_concentrations_in_SR (millimolar2)'); LEGEND_CONSTANTS(:,99) = strpad('EffFraction in component NL_model (dimensionless)'); LEGEND_STATES(:,34) = strpad('pCa in component NL_model (dimensionless)'); LEGEND_STATES(:,35) = strpad('pCaCB in component NL_model (dimensionless)'); LEGEND_STATES(:,36) = strpad('pCB in component NL_model (dimensionless)'); LEGEND_ALGEBRAIC(:,131) = strpad('p in component NL_model (dimensionless)'); LEGEND_CONSTANTS(:,76) = strpad('T_t in component NL_model (millimolar)'); LEGEND_ALGEBRAIC(:,135) = strpad('Q_a in component NL_model (per_millisecond)'); LEGEND_ALGEBRAIC(:,133) = strpad('Q_b in component NL_model (per_millisecond)'); LEGEND_ALGEBRAIC(:,137) = strpad('Q_r in component NL_model (per_millisecond)'); LEGEND_ALGEBRAIC(:,138) = strpad('Q_d in component NL_model (per_millisecond)'); LEGEND_ALGEBRAIC(:,139) = strpad('Q_d1 in component NL_model (per_millisecond)'); LEGEND_ALGEBRAIC(:,140) = strpad('Q_d2 in component NL_model (per_millisecond)'); LEGEND_CONSTANTS(:,77) = strpad('Y_1 in component NL_model (per_millimolar_millisecond)'); LEGEND_CONSTANTS(:,78) = strpad('Y_2 in component NL_model (per_millisecond)'); LEGEND_CONSTANTS(:,79) = strpad('Y_3 in component NL_model (per_millisecond)'); LEGEND_CONSTANTS(:,80) = strpad('Y_4 in component NL_model (per_millisecond)'); LEGEND_CONSTANTS(:,81) = strpad('Y_d in component NL_model (millisecond_per_micrometre2)'); LEGEND_CONSTANTS(:,82) = strpad('Z_1 in component NL_model (per_millisecond)'); LEGEND_CONSTANTS(:,83) = strpad('Z_2 in component NL_model (per_millisecond)'); LEGEND_CONSTANTS(:,84) = strpad('Z_3 in component NL_model (per_millimolar_millisecond)'); LEGEND_ALGEBRAIC(:,129) = strpad('h in component NL_model (micrometre)'); LEGEND_CONSTANTS(:,85) = strpad('L_a in component NL_model (micrometre)'); LEGEND_CONSTANTS(:,86) = strpad('L in component NL_model (micrometre)'); LEGEND_ALGEBRAIC(:,134) = strpad('ForceCB in component NL_model (mN_per_mm2)'); LEGEND_STATES(:,37) = strpad('X in component NL_model (micrometre)'); LEGEND_ALGEBRAIC(:,132) = strpad('NewCBF in component NL_model (mN_per_mm2_micrometre)'); LEGEND_ALGEBRAIC(:,130) = strpad('CBBound in component NL_model (millimolar)'); LEGEND_CONSTANTS(:,87) = strpad('KForceEC in component NL_model (mN_per_mm2_micrometre5)'); LEGEND_CONSTANTS(:,88) = strpad('ZeroForceEL in component NL_model (micrometre)'); LEGEND_CONSTANTS(:,89) = strpad('KForceLinearEc in component NL_model (mN_per_mm2_micrometre)'); LEGEND_CONSTANTS(:,90) = strpad('ForceFactor in component NL_model (mN_per_mm2_micrometre_millimolar)'); LEGEND_CONSTANTS(:,100) = strpad('ForceEcomp in component NL_model (mN_per_mm2)'); LEGEND_CONSTANTS(:,91) = strpad('B in component NL_model (per_millisecond)'); LEGEND_CONSTANTS(:,92) = strpad('h_c in component NL_model (micrometre)'); LEGEND_ALGEBRAIC(:,136) = strpad('ForceExt in component NL_model (mN_per_mm2)'); LEGEND_RATES(:,1) = strpad('d/dt Vm in component membrane (millivolt)'); LEGEND_RATES(:,2) = strpad('d/dt Nai in component internal_ion_concentrations (millimolar)'); LEGEND_RATES(:,3) = strpad('d/dt Ki in component internal_ion_concentrations (millimolar)'); LEGEND_RATES(:,4) = strpad('d/dt Ca_Total in component internal_ion_concentrations (millimolar)'); LEGEND_RATES(:,5) = strpad('d/dt ATPi in component ATP_production (millimolar)'); LEGEND_RATES(:,8) = strpad('d/dt p_RP_Na in component sodium_current_voltage_dependent_gate (dimensionless)'); LEGEND_RATES(:,6) = strpad('d/dt p_AP_Na in component sodium_current_voltage_dependent_gate (dimensionless)'); LEGEND_RATES(:,9) = strpad('d/dt p_AI_Na in component sodium_current_voltage_dependent_gate (dimensionless)'); LEGEND_RATES(:,7) = strpad('d/dt y in component sodium_current_ultra_slow_gate (dimensionless)'); LEGEND_RATES(:,14) = strpad('d/dt p_RP_CaL in component L_type_Ca_channel_voltage_dependent_gate (dimensionless)'); LEGEND_RATES(:,10) = strpad('d/dt p_AP_CaL in component L_type_Ca_channel_voltage_dependent_gate (dimensionless)'); LEGEND_RATES(:,15) = strpad('d/dt p_AI_CaL in component L_type_Ca_channel_voltage_dependent_gate (dimensionless)'); LEGEND_RATES(:,11) = strpad('d/dt p_U in component L_type_Ca_channel_Ca_dependent_gate (dimensionless)'); LEGEND_RATES(:,12) = strpad('d/dt p_UCa in component L_type_Ca_channel_Ca_dependent_gate (dimensionless)'); LEGEND_RATES(:,16) = strpad('d/dt p_C in component L_type_Ca_channel_Ca_dependent_gate (dimensionless)'); LEGEND_RATES(:,13) = strpad('d/dt y in component L_type_Ca_channel_ultra_slow_gate (dimensionless)'); LEGEND_RATES(:,17) = strpad('d/dt y1 in component T_type_Ca_channel_y1_gate (dimensionless)'); LEGEND_RATES(:,18) = strpad('d/dt y2 in component T_type_Ca_channel_y2_gate (dimensionless)'); LEGEND_RATES(:,19) = strpad('d/dt y in component time_independent_potassium_current_y_gate (dimensionless)'); LEGEND_RATES(:,20) = strpad('d/dt y1 in component rapid_time_dependent_potassium_current_y1_gate (dimensionless)'); LEGEND_RATES(:,21) = strpad('d/dt y2 in component rapid_time_dependent_potassium_current_y2_gate (dimensionless)'); LEGEND_RATES(:,22) = strpad('d/dt y3 in component rapid_time_dependent_potassium_current_y3_gate (dimensionless)'); LEGEND_RATES(:,23) = strpad('d/dt y1 in component slow_time_dependent_potassium_current_y1_gate (dimensionless)'); LEGEND_RATES(:,24) = strpad('d/dt y2 in component slow_time_dependent_potassium_current_y2_gate (dimensionless)'); LEGEND_RATES(:,25) = strpad('d/dt y1 in component transient_outward_current_y1_gate (dimensionless)'); LEGEND_RATES(:,26) = strpad('d/dt y2 in component transient_outward_current_y2_gate (dimensionless)'); LEGEND_RATES(:,27) = strpad('d/dt y in component sodium_calcium_exchanger_y_gate (dimensionless)'); LEGEND_RATES(:,28) = strpad('d/dt y in component sodium_potassium_pump_y_gate (dimensionless)'); LEGEND_RATES(:,30) = strpad('d/dt y in component SR_calcium_pump_y_gate (dimensionless)'); LEGEND_RATES(:,31) = strpad('d/dt p_open_RyR in component RyR_channel (dimensionless)'); LEGEND_RATES(:,32) = strpad('d/dt p_close_RyR in component RyR_channel (dimensionless)'); LEGEND_RATES(:,33) = strpad('d/dt Ca_Total in component Ca_concentrations_in_SR (millimolar)'); LEGEND_RATES(:,29) = strpad('d/dt Caup in component Ca_concentrations_in_SR (millimolar)'); LEGEND_RATES(:,37) = strpad('d/dt X in component NL_model (micrometre)'); LEGEND_RATES(:,34) = strpad('d/dt pCa in component NL_model (dimensionless)'); LEGEND_RATES(:,35) = strpad('d/dt pCaCB in component NL_model (dimensionless)'); LEGEND_RATES(:,36) = strpad('d/dt pCB in component NL_model (dimensionless)'); LEGEND_STATES = LEGEND_STATES'; LEGEND_ALGEBRAIC = LEGEND_ALGEBRAIC'; LEGEND_RATES = LEGEND_RATES'; LEGEND_CONSTANTS = LEGEND_CONSTANTS'; end function [STATES, CONSTANTS] = initConsts() VOI = 0; CONSTANTS = []; STATES = []; ALGEBRAIC = []; STATES(:,1) = -85.95752434460744; CONSTANTS(:,1) = 8.3143; CONSTANTS(:,2) = 310; CONSTANTS(:,3) = 96.4867; CONSTANTS(:,4) = 132; CONSTANTS(:,5) = 50; CONSTANTS(:,6) = 1000000; CONSTANTS(:,7) = 400; CONSTANTS(:,8) = 2; CONSTANTS(:,9) = -4000; CONSTANTS(:,10) = 140; CONSTANTS(:,11) = 1.8; CONSTANTS(:,12) = 5.4; STATES(:,2) = 4.925761439682025; STATES(:,3) = 143.1837333000449; CONSTANTS(:,13) = 8000; CONSTANTS(:,14) = 0.05; CONSTANTS(:,15) = 0.00238; STATES(:,4) = 4.0180173572968586e-4; STATES(:,5) = 4.657102729020499; CONSTANTS(:,16) = 0.003; CONSTANTS(:,17) = 5; CONSTANTS(:,18) = 2860; STATES(:,6) = 1.779648367445368e-5; STATES(:,7) = 0.5861887862983165; STATES(:,8) = 0.3556412697995689; STATES(:,9) = 0.40285968661346977; CONSTANTS(:,19) = 0.0000875; CONSTANTS(:,20) = 8712; STATES(:,10) = 1.5445004166497696e-6; STATES(:,11) = 0.17246483915629204; STATES(:,12) = 6.098246017787626e-5; STATES(:,13) = 0.9985266538252986; STATES(:,14) = 0.9968480629364956; STATES(:,15) = 8.77325391245903e-4; CONSTANTS(:,21) = 0.004; CONSTANTS(:,22) = 0.001; STATES(:,16) = 0.4250747299372254; CONSTANTS(:,23) = 0.0003; CONSTANTS(:,24) = 0.35; CONSTANTS(:,25) = 0.143; CONSTANTS(:,26) = 0.35; CONSTANTS(:,27) = 6.954; CONSTANTS(:,28) = 0.0042; CONSTANTS(:,29) = 6.954; CONSTANTS(:,30) = 612; STATES(:,17) = 1.6882718240109127e-5; STATES(:,18) = 0.8585352091865849; CONSTANTS(:,31) = 1.146; STATES(:,19) = 0.6080573900752752; CONSTANTS(:,32) = 0.00864; STATES(:,20) = 0.0018339931180983765; STATES(:,21) = 0.20443083454225305; STATES(:,22) = 0.967887666264921; STATES(:,23) = 0.09738789658609195; STATES(:,24) = 0.09745345578743213; CONSTANTS(:,33) = 5.04; CONSTANTS(:,34) = 0.2016; CONSTANTS(:,35) = 0.004444; STATES(:,25) = 7.956883250874798e-4; STATES(:,26) = 0.9999125083105881; CONSTANTS(:,36) = 0.033; CONSTANTS(:,37) = 0.00297; CONSTANTS(:,38) = 0.385; CONSTANTS(:,39) = 0.11; CONSTANTS(:,40) = 0.0236; CONSTANTS(:,41) = 2333; CONSTANTS(:,42) = 0.04; CONSTANTS(:,43) = 1; CONSTANTS(:,44) = 1; CONSTANTS(:,45) = 8.75; CONSTANTS(:,46) = 87.5; CONSTANTS(:,47) = 0.00138; CONSTANTS(:,48) = 1.38; STATES(:,27) = 0.9891789193465331; CONSTANTS(:,49) = 6.81; CONSTANTS(:,50) = 0.32; CONSTANTS(:,51) = 0.04; CONSTANTS(:,52) = 0.01; CONSTANTS(:,53) = 0.165; CONSTANTS(:,54) = 4.05; CONSTANTS(:,55) = 69.8; CONSTANTS(:,56) = 32.88; CONSTANTS(:,57) = 0.258; CONSTANTS(:,58) = 0.094; STATES(:,28) = 0.5910747147428818; CONSTANTS(:,59) = 21; CONSTANTS(:,60) = 0.01; CONSTANTS(:,61) = 1; CONSTANTS(:,62) = 0.01; CONSTANTS(:,63) = 0.08; CONSTANTS(:,64) = 0.0008; CONSTANTS(:,65) = 0.1; CONSTANTS(:,66) = 162500; STATES(:,29) = 2.611712901567567; STATES(:,30) = 0.46108441538480216; CONSTANTS(:,67) = 62000; CONSTANTS(:,68) = 0.000849; STATES(:,31) = 3.4314360001543243e-4; STATES(:,32) = 0.19135178123107768; CONSTANTS(:,69) = -150; CONSTANTS(:,70) = 386; CONSTANTS(:,71) = 459; STATES(:,33) = 9.455741736977666; CONSTANTS(:,72) = 160; CONSTANTS(:,73) = 400; CONSTANTS(:,74) = 10; CONSTANTS(:,75) = 0.8; STATES(:,34) = 0.02490898775497523; STATES(:,35) = 0.001990153835322864; STATES(:,36) = 4.2941813853474524e-4; CONSTANTS(:,76) = 0.07; CONSTANTS(:,77) = 39; CONSTANTS(:,78) = 0.0039; CONSTANTS(:,79) = 0.03; CONSTANTS(:,80) = 0.12; CONSTANTS(:,81) = 0.027; CONSTANTS(:,82) = 0.03; CONSTANTS(:,83) = 0.0039; CONSTANTS(:,84) = 1560; CONSTANTS(:,85) = 1.17; CONSTANTS(:,86) = 0.9623799975411884; STATES(:,37) = 0.9573749975411884; CONSTANTS(:,87) = 140000; CONSTANTS(:,88) = 0.97; CONSTANTS(:,89) = 200; CONSTANTS(:,90) = 1800000; CONSTANTS(:,91) = 1.2; CONSTANTS(:,92) = 0.005; CONSTANTS(:,93) = ( CONSTANTS(:,28).*CONSTANTS(:,25).*CONSTANTS(:,27).*CONSTANTS(:,24))./( CONSTANTS(:,26).*CONSTANTS(:,29).*CONSTANTS(:,23)); CONSTANTS(:,94) = CONSTANTS(:,31).*CONSTANTS(:,4).*power(CONSTANTS(:,12)./5.40000, 0.400000); CONSTANTS(:,95) = CONSTANTS(:,32).*CONSTANTS(:,4).*power(CONSTANTS(:,12)./5.40000, 0.200000); CONSTANTS(:,96) = 0.000110000.*power(CONSTANTS(:,12)./5.40000, 0.160000); CONSTANTS(:,97) = CONSTANTS(:,40).*CONSTANTS(:,41).*power(CONSTANTS(:,12)./1.00000, 0.240000); CONSTANTS(:,98) = 1.00000./(1.00000+ power(CONSTANTS(:,46)./CONSTANTS(:,10), 3.00000).*(1.00000+CONSTANTS(:,11)./CONSTANTS(:,48))); CONSTANTS(:,99) = exp( - 20.0000.*power(CONSTANTS(:,86) - CONSTANTS(:,85), 2.00000)); CONSTANTS(:,100) = CONSTANTS(:,87).*power(CONSTANTS(:,88) - CONSTANTS(:,86), 5.00000)+ CONSTANTS(:,89).*(CONSTANTS(:,88) - CONSTANTS(:,86)); CONSTANTS(:,101) = 1.00000./(1.00000+ (CONSTANTS(:,48)./CONSTANTS(:,11)).*(1.00000+power(CONSTANTS(:,10)./CONSTANTS(:,46), 3.00000))); if (isempty(STATES)), warning('Initial values for states not set');, end end function [RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS) global algebraicVariableCount; statesSize = size(STATES); statesColumnCount = statesSize(2); if ( statesColumnCount == 1) STATES = STATES'; ALGEBRAIC = zeros(1, algebraicVariableCount); utilOnes = 1; else statesRowCount = statesSize(1); ALGEBRAIC = zeros(statesRowCount, algebraicVariableCount); RATES = zeros(statesRowCount, statesColumnCount); utilOnes = ones(statesRowCount, 1); end ALGEBRAIC(:,3) = 1.00000./( 9.00000e+09.*exp(STATES(:,1)./5.00000)+ 8000.00.*exp(STATES(:,1)./100.000)); ALGEBRAIC(:,16) = 1.00000./( 0.0140000.*exp( - STATES(:,1)./5.00000)+ 4000.00.*exp( - STATES(:,1)./100.000)); RATES(:,7) = ALGEBRAIC(:,3).*(1.00000 - STATES(:,7)) - ALGEBRAIC(:,16).*STATES(:,7); ALGEBRAIC(:,5) = 1.00000./( 250000..*exp(STATES(:,1)./9.00000)+ 58.0000.*exp(STATES(:,1)./65.0000)); ALGEBRAIC(:,18) = 1.00000./( 1800.00.*exp( - STATES(:,1)./14.0000)+ 66.0000.*exp( - STATES(:,1)./65.0000)); RATES(:,13) = ALGEBRAIC(:,5).*(1.00000 - STATES(:,13)) - ALGEBRAIC(:,18).*STATES(:,13); ALGEBRAIC(:,6) = 1.00000./( 0.0190000.*exp( - STATES(:,1)./5.60000)+ 0.820000.*exp( - STATES(:,1)./250.000)); ALGEBRAIC(:,19) = 1.00000./( 40.0000.*exp(STATES(:,1)./6.30000)+ 1.50000.*exp(STATES(:,1)./10000.0)); RATES(:,17) = ALGEBRAIC(:,6).*(1.00000 - STATES(:,17)) - ALGEBRAIC(:,19).*STATES(:,17); ALGEBRAIC(:,7) = 1.00000./( 62000.0.*exp(STATES(:,1)./10.1000)+ 30.0000.*exp(STATES(:,1)./3000.00)); ALGEBRAIC(:,20) = 1.00000./( 0.000600000.*exp( - STATES(:,1)./6.70000)+ 1.20000.*exp( - STATES(:,1)./25.0000)); RATES(:,18) = ALGEBRAIC(:,7).*(1.00000 - STATES(:,18)) - ALGEBRAIC(:,20).*STATES(:,18); ALGEBRAIC(:,8) = 1.00000./( 20.0000.*exp( - STATES(:,1)./11.5000)+ 5.00000.*exp( - STATES(:,1)./300.000)); ALGEBRAIC(:,21) = 1.00000./( 160.000.*exp(STATES(:,1)./28.0000)+ 200.000.*exp(STATES(:,1)./1000.00))+1.00000./( 2500.00.*exp(STATES(:,1)./20.0000)); RATES(:,20) = ALGEBRAIC(:,8).*(1.00000 - STATES(:,20)) - ALGEBRAIC(:,21).*STATES(:,20); ALGEBRAIC(:,9) = 1.00000./( 200.000.*exp( - STATES(:,1)./13.0000)+ 20.0000.*exp( - STATES(:,1)./300.000)); ALGEBRAIC(:,22) = 1.00000./( 1600.00.*exp(STATES(:,1)./28.0000)+ 2000.00.*exp(STATES(:,1)./1000.00))+1.00000./( 10000.0.*exp(STATES(:,1)./20.0000)); RATES(:,21) = ALGEBRAIC(:,9).*(1.00000 - STATES(:,21)) - ALGEBRAIC(:,22).*STATES(:,21); ALGEBRAIC(:,10) = 1.00000./( 10.0000.*exp(STATES(:,1)./17.0000)+ 2.50000.*exp(STATES(:,1)./300.000)); ALGEBRAIC(:,23) = 1.00000./( 0.350000.*exp( - STATES(:,1)./17.0000)+ 2.00000.*exp( - STATES(:,1)./150.000)); RATES(:,22) = ALGEBRAIC(:,10).*(1.00000 - STATES(:,22)) - ALGEBRAIC(:,23).*STATES(:,22); ALGEBRAIC(:,11) = 1.00000./( 85.0000.*exp( - STATES(:,1)./10.5000)+ 370.000.*exp( - STATES(:,1)./62.0000)); ALGEBRAIC(:,24) = 1.00000./( 1450.00.*exp(STATES(:,1)./20.0000)+ 260.000.*exp(STATES(:,1)./100.000)); RATES(:,23) = ALGEBRAIC(:,11).*(1.00000 - STATES(:,23)) - ALGEBRAIC(:,24).*STATES(:,23); ALGEBRAIC(:,12) = 1.00000./( 11.0000.*exp( - STATES(:,1)./28.0000)+ 0.200000.*exp( - STATES(:,1)./400.000)); ALGEBRAIC(:,25) = 1.00000./( 4.40000.*exp(STATES(:,1)./16.0000)+ 0.200000.*exp(STATES(:,1)./500.000)); RATES(:,25) = ALGEBRAIC(:,12).*(1.00000 - STATES(:,25)) - ALGEBRAIC(:,25).*STATES(:,25); ALGEBRAIC(:,13) = ( 0.00380000.*exp( - (STATES(:,1)+13.5000)./11.3000))./(1.00000+ 0.0513350.*exp( - (STATES(:,1)+13.5000)./11.3000)); ALGEBRAIC(:,26) = ( 0.00380000.*exp((STATES(:,1)+13.5000)./11.3000))./(1.00000+ 0.0670830.*exp((STATES(:,1)+13.5000)./11.3000)); RATES(:,26) = ALGEBRAIC(:,13).*(1.00000 - STATES(:,26)) - ALGEBRAIC(:,26).*STATES(:,26); ALGEBRAIC(:,17) = 1.00000./( 0.270000.*exp( - STATES(:,1)./5.90000)+ 1.50000.*exp( - STATES(:,1)./65.0000)); ALGEBRAIC(:,29) = 1.00000./( 480.000.*exp(STATES(:,1)./7.00000)+ 2.20000.*exp(STATES(:,1)./65.0000)); RATES(:,10) = ( STATES(:,14).*ALGEBRAIC(:,17)+ STATES(:,15).*CONSTANTS(:,22)) - STATES(:,10).*(ALGEBRAIC(:,29)+CONSTANTS(:,21)); ALGEBRAIC(:,15) = 1.00000./( 0.102700.*exp( - STATES(:,1)./8.00000)+ 0.250000.*exp( - STATES(:,1)./50.0000)); ALGEBRAIC(:,28) = 1.00000./( 26.0000.*exp(STATES(:,1)./17.0000)+ 0.0200000.*exp(STATES(:,1)./800.000)); ALGEBRAIC(:,31) = 1.00000./( 0.800000.*exp( - STATES(:,1)./400.000)); RATES(:,6) = ( STATES(:,8).*ALGEBRAIC(:,15)+ STATES(:,9).*CONSTANTS(:,19)) - STATES(:,6).*(ALGEBRAIC(:,28)+ALGEBRAIC(:,31)); ALGEBRAIC(:,4) = ((1.00000 - STATES(:,10)) - STATES(:,14)) - STATES(:,15); ALGEBRAIC(:,32) = 1.00000./( 0.00180000.*exp( - STATES(:,1)./7.40000)+ 2.00000.*exp( - STATES(:,1)./100.000)); ALGEBRAIC(:,35) = 1.00000./( 2.20000e+06.*exp(STATES(:,1)./7.40000)+ 11.0000.*exp(STATES(:,1)./100.000)); RATES(:,15) = ( ALGEBRAIC(:,4).*ALGEBRAIC(:,32)+ STATES(:,10).*CONSTANTS(:,21)) - STATES(:,15).*(ALGEBRAIC(:,35)+CONSTANTS(:,22)); ALGEBRAIC(:,14) = (CONSTANTS(:,14) - STATES(:,4))+CONSTANTS(:,15); ALGEBRAIC(:,27) = CONSTANTS(:,15).*STATES(:,4); ALGEBRAIC(:,30) = (power((power(ALGEBRAIC(:,14), 2.00000)+ 4.00000.*ALGEBRAIC(:,27)), 1.0 ./ 2) - ALGEBRAIC(:,14))./2.00000; ALGEBRAIC(:,36) = 3.70000.*ALGEBRAIC(:,30); RATES(:,24) = ALGEBRAIC(:,36).*(1.00000 - STATES(:,24)) - CONSTANTS(:,35).*STATES(:,24); ALGEBRAIC(:,2) = ((1.00000 - STATES(:,8)) - STATES(:,6)) - STATES(:,9); ALGEBRAIC(:,38) = 1.00000./( 0.000102700.*exp( - STATES(:,1)./8.00000)+ 5.00000.*exp( - STATES(:,1)./400.000)); ALGEBRAIC(:,34) = 1.00000./( 1300.00.*exp(STATES(:,1)./20.0000)+ 0.0400000.*exp(STATES(:,1)./800.000)); RATES(:,9) = ( ALGEBRAIC(:,2).*ALGEBRAIC(:,38)+ STATES(:,6).*ALGEBRAIC(:,31)) - STATES(:,9).*(ALGEBRAIC(:,34)+CONSTANTS(:,19)); ALGEBRAIC(:,39) = 0.0400000./(1.00000+( CONSTANTS(:,22).*ALGEBRAIC(:,29).*ALGEBRAIC(:,32))./( CONSTANTS(:,21).*ALGEBRAIC(:,17).*ALGEBRAIC(:,35))); ALGEBRAIC(:,42) = 0.0400000 - ALGEBRAIC(:,39); RATES(:,14) = ( STATES(:,10).*ALGEBRAIC(:,29)+ ALGEBRAIC(:,4).*ALGEBRAIC(:,42)) - STATES(:,14).*(ALGEBRAIC(:,39)+ALGEBRAIC(:,17)); ALGEBRAIC(:,41) = 0.0100000./(1.00000+( CONSTANTS(:,19).*ALGEBRAIC(:,28).*ALGEBRAIC(:,38))./( ALGEBRAIC(:,31).*ALGEBRAIC(:,15).*ALGEBRAIC(:,34))); ALGEBRAIC(:,44) = 0.0100000 - ALGEBRAIC(:,41); RATES(:,8) = ( STATES(:,6).*ALGEBRAIC(:,28)+ ALGEBRAIC(:,2).*ALGEBRAIC(:,44)) - STATES(:,8).*(ALGEBRAIC(:,41)+ALGEBRAIC(:,15)); ALGEBRAIC(:,37) = piecewise({STATES(:,1)==0.00000, - CONSTANTS(:,11) }, ( (( 2.00000.*CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*(ALGEBRAIC(:,30) - CONSTANTS(:,11).*exp(( - 2.00000.*CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2)))))./(1.00000 - exp(( - 2.00000.*CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2))))); ALGEBRAIC(:,52) = 0.0676000.*ALGEBRAIC(:,37); ALGEBRAIC(:,54) = ALGEBRAIC(:,30) - 0.300000.*ALGEBRAIC(:,52); ALGEBRAIC(:,56) = ALGEBRAIC(:,54).*STATES(:,10); ALGEBRAIC(:,58) = ALGEBRAIC(:,56)+ ALGEBRAIC(:,30).*(1.00000 - STATES(:,10)); ALGEBRAIC(:,61) = CONSTANTS(:,27).*ALGEBRAIC(:,58); RATES(:,11) = ( STATES(:,16).*CONSTANTS(:,25)+ STATES(:,12).*CONSTANTS(:,93)) - STATES(:,11).*(ALGEBRAIC(:,61)+CONSTANTS(:,26)); ALGEBRAIC(:,63) = ((1.00000 - STATES(:,16)) - STATES(:,11)) - STATES(:,12); RATES(:,12) = ( STATES(:,11).*ALGEBRAIC(:,61)+ ALGEBRAIC(:,63).*CONSTANTS(:,23)) - STATES(:,12).*(CONSTANTS(:,24)+CONSTANTS(:,93)); RATES(:,16) = ( ALGEBRAIC(:,63).*CONSTANTS(:,28)+ STATES(:,11).*CONSTANTS(:,26)) - STATES(:,16).*(CONSTANTS(:,25)+ CONSTANTS(:,29).*ALGEBRAIC(:,54).*STATES(:,10)); ALGEBRAIC(:,57) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,12)./STATES(:,3)); ALGEBRAIC(:,67) = 1.00000./( 8000.00.*exp(((STATES(:,1) - ALGEBRAIC(:,57)) - 97.0000)./8.50000)+ 7.00000.*exp(((STATES(:,1) - ALGEBRAIC(:,57)) - 97.0000)./300.000)); ALGEBRAIC(:,60) = ( 0.750000.*exp( 0.0350000.*((STATES(:,1) - ALGEBRAIC(:,57)) - 10.0000)))./(1.00000+exp( 0.0150000.*((STATES(:,1) - ALGEBRAIC(:,57)) - 140.000))); ALGEBRAIC(:,62) = ( 3.00000.*exp( - 0.0480000.*((STATES(:,1) - ALGEBRAIC(:,57)) - 10.0000)).*(1.00000+exp( 0.0640000.*((STATES(:,1) - ALGEBRAIC(:,57)) - 38.0000))))./(1.00000+exp( 0.0300000.*((STATES(:,1) - ALGEBRAIC(:,57)) - 70.0000))); ALGEBRAIC(:,65) = ALGEBRAIC(:,62)./(ALGEBRAIC(:,60)+ALGEBRAIC(:,62)); ALGEBRAIC(:,69) = ( power(ALGEBRAIC(:,65), 4.00000).*1.00000)./( 0.000140000.*exp( - ((STATES(:,1) - ALGEBRAIC(:,57)) - 97.0000)./9.10000)+ 0.200000.*exp( - ((STATES(:,1) - ALGEBRAIC(:,57)) - 97.0000)./500.000)); RATES(:,19) = ALGEBRAIC(:,67).*(1.00000 - STATES(:,19)) - ALGEBRAIC(:,69).*STATES(:,19); ALGEBRAIC(:,94) = 1.00000.*exp(( (CONSTANTS(:,50) - 1.00000).*CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2))); ALGEBRAIC(:,96) = ALGEBRAIC(:,94).*CONSTANTS(:,98)+ CONSTANTS(:,44).*CONSTANTS(:,101); ALGEBRAIC(:,91) = 1.00000./(1.00000+ power(CONSTANTS(:,45)./STATES(:,2), 3.00000).*(1.00000+ALGEBRAIC(:,30)./CONSTANTS(:,47))); ALGEBRAIC(:,92) = 1.00000./(1.00000+ (CONSTANTS(:,47)./ALGEBRAIC(:,30)).*(1.00000+power(STATES(:,2)./CONSTANTS(:,45), 3.00000))); ALGEBRAIC(:,93) = 1.00000.*exp(( CONSTANTS(:,50).*CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2))); ALGEBRAIC(:,98) = ALGEBRAIC(:,93).*ALGEBRAIC(:,91)+ CONSTANTS(:,43).*ALGEBRAIC(:,92); RATES(:,27) = ALGEBRAIC(:,96).*(1.00000 - STATES(:,27)) - ALGEBRAIC(:,98).*STATES(:,27); ALGEBRAIC(:,1) = piecewise({VOI>=CONSTANTS(:,5)&VOI<=CONSTANTS(:,6)&(VOI - CONSTANTS(:,5)) - floor((VOI - CONSTANTS(:,5))./CONSTANTS(:,7)).*CONSTANTS(:,7)<=CONSTANTS(:,8), CONSTANTS(:,9) }, 0.00000); ALGEBRAIC(:,33) = piecewise({STATES(:,1)==0.00000, - CONSTANTS(:,10) }, ( (( CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*(STATES(:,2) - CONSTANTS(:,10).*exp(( - CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2)))))./(1.00000 - exp(( - CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2))))); ALGEBRAIC(:,80) = CONSTANTS(:,38).*ALGEBRAIC(:,33); ALGEBRAIC(:,40) = piecewise({STATES(:,1)==0.00000, STATES(:,3) }, ( (( CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*(STATES(:,3) - CONSTANTS(:,12).*exp(( - CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2)))))./(1.00000 - exp(( - CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2))))); ALGEBRAIC(:,79) = 0.400000.*CONSTANTS(:,38).*ALGEBRAIC(:,40); ALGEBRAIC(:,81) = ALGEBRAIC(:,79)+ALGEBRAIC(:,80); ALGEBRAIC(:,89) = CONSTANTS(:,42).*ALGEBRAIC(:,37); ALGEBRAIC(:,82) = piecewise({STATES(:,1)== - 3.00000, CONSTANTS(:,96).*ALGEBRAIC(:,40).*13.0077 }, ( CONSTANTS(:,96).*ALGEBRAIC(:,40).*(STATES(:,1)+3.00000))./(1.00000 - exp( - (STATES(:,1)+3.00000)./13.0000))); ALGEBRAIC(:,83) = 1.00000./(1.00000+power(0.00120000./ALGEBRAIC(:,30), 3.00000)); ALGEBRAIC(:,85) = CONSTANTS(:,39).*ALGEBRAIC(:,33).*ALGEBRAIC(:,83); ALGEBRAIC(:,84) = CONSTANTS(:,39).*ALGEBRAIC(:,40).*ALGEBRAIC(:,83); ALGEBRAIC(:,86) = ALGEBRAIC(:,84)+ALGEBRAIC(:,85); ALGEBRAIC(:,87) = 0.800000./(1.00000+power(STATES(:,5)./0.100000, 2.00000)); ALGEBRAIC(:,88) = CONSTANTS(:,97).*(STATES(:,1) - ALGEBRAIC(:,57)).*ALGEBRAIC(:,87); ALGEBRAIC(:,90) = ALGEBRAIC(:,81)+ALGEBRAIC(:,89)+ALGEBRAIC(:,82)+ALGEBRAIC(:,86)+ALGEBRAIC(:,88); ALGEBRAIC(:,43) = CONSTANTS(:,18).*ALGEBRAIC(:,33).*STATES(:,6).*STATES(:,7); ALGEBRAIC(:,45) = 0.100000.*CONSTANTS(:,18).*ALGEBRAIC(:,40).*STATES(:,6).*STATES(:,7); ALGEBRAIC(:,46) = ALGEBRAIC(:,43)+ALGEBRAIC(:,45); ALGEBRAIC(:,47) = ( STATES(:,10).*(STATES(:,11)+STATES(:,12)).*STATES(:,13))./(1.00000+power(1.40000./STATES(:,5), 3.00000)); ALGEBRAIC(:,49) = 1.85000e-05.*CONSTANTS(:,20).*ALGEBRAIC(:,33).*ALGEBRAIC(:,47); ALGEBRAIC(:,50) = 0.000365000.*CONSTANTS(:,20).*ALGEBRAIC(:,40).*ALGEBRAIC(:,47); ALGEBRAIC(:,48) = CONSTANTS(:,20).*ALGEBRAIC(:,37).*ALGEBRAIC(:,47); ALGEBRAIC(:,51) = ALGEBRAIC(:,49)+ALGEBRAIC(:,48)+ALGEBRAIC(:,50); ALGEBRAIC(:,55) = CONSTANTS(:,30).*ALGEBRAIC(:,37).*STATES(:,17).*STATES(:,18); ALGEBRAIC(:,64) = ALGEBRAIC(:,60)./(ALGEBRAIC(:,60)+ALGEBRAIC(:,62)); ALGEBRAIC(:,66) = 2.00000.*power(ALGEBRAIC(:,65), 2.00000).*power(ALGEBRAIC(:,64), 2.00000); ALGEBRAIC(:,68) = (8.00000./3.00000).*power(ALGEBRAIC(:,65), 3.00000).*ALGEBRAIC(:,64); ALGEBRAIC(:,70) = power(ALGEBRAIC(:,65), 4.00000); ALGEBRAIC(:,71) = CONSTANTS(:,94).*(STATES(:,1) - ALGEBRAIC(:,57)).*(ALGEBRAIC(:,70)+ALGEBRAIC(:,68)+ALGEBRAIC(:,66)).*STATES(:,19); ALGEBRAIC(:,72) = CONSTANTS(:,95).*(STATES(:,1) - ALGEBRAIC(:,57)).*( 0.600000.*STATES(:,20)+ 0.400000.*STATES(:,21)).*STATES(:,22); ALGEBRAIC(:,73) = CONSTANTS(:,33).*ALGEBRAIC(:,40).*power(STATES(:,23), 2.00000).*( 0.900000.*STATES(:,24)+0.100000); ALGEBRAIC(:,74) = CONSTANTS(:,34).*ALGEBRAIC(:,33).*power(STATES(:,23), 2.00000).*( 0.900000.*STATES(:,24)+0.100000); ALGEBRAIC(:,75) = ALGEBRAIC(:,74)+ALGEBRAIC(:,73); ALGEBRAIC(:,76) = CONSTANTS(:,36).*ALGEBRAIC(:,40).*power(STATES(:,25), 3.00000).*STATES(:,26); ALGEBRAIC(:,77) = CONSTANTS(:,37).*ALGEBRAIC(:,33).*power(STATES(:,25), 3.00000).*STATES(:,26); ALGEBRAIC(:,78) = ALGEBRAIC(:,77)+ALGEBRAIC(:,76); ALGEBRAIC(:,102) = CONSTANTS(:,10).*exp(( - 0.820000.*CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2))); ALGEBRAIC(:,103) = 1.00000./(1.00000+ power(CONSTANTS(:,55)./ALGEBRAIC(:,102), 1.06000).*(1.00000+power(CONSTANTS(:,12)./CONSTANTS(:,57), 1.12000))); ALGEBRAIC(:,99) = 1.00000./(1.00000+ power(CONSTANTS(:,54)./STATES(:,2), 1.06000).*(1.00000+power(STATES(:,3)./CONSTANTS(:,56), 1.12000))); ALGEBRAIC(:,101) = 0.370000./(1.00000+CONSTANTS(:,58)./STATES(:,5)); ALGEBRAIC(:,104) = CONSTANTS(:,59).*CONSTANTS(:,4).*1.00000.*( ALGEBRAIC(:,101).*ALGEBRAIC(:,99).*STATES(:,28) - CONSTANTS(:,51).*ALGEBRAIC(:,103).*(1.00000 - STATES(:,28))); ALGEBRAIC(:,95) = CONSTANTS(:,49).*CONSTANTS(:,4).*1.00000.*( ALGEBRAIC(:,93).*ALGEBRAIC(:,91).*STATES(:,27) - ALGEBRAIC(:,94).*CONSTANTS(:,98).*(1.00000 - STATES(:,27))); ALGEBRAIC(:,106) = ALGEBRAIC(:,46)+ALGEBRAIC(:,51)+ALGEBRAIC(:,55)+ALGEBRAIC(:,71)+ALGEBRAIC(:,72)+ALGEBRAIC(:,75)+ALGEBRAIC(:,78)+ALGEBRAIC(:,90)+ALGEBRAIC(:,104)+ALGEBRAIC(:,95); RATES(:,1) = - (ALGEBRAIC(:,106)+ALGEBRAIC(:,1))./CONSTANTS(:,4); ALGEBRAIC(:,107) = ALGEBRAIC(:,43)+ALGEBRAIC(:,74)+ALGEBRAIC(:,77)+ALGEBRAIC(:,49)+ALGEBRAIC(:,80)+ALGEBRAIC(:,85)+ 3.00000.*ALGEBRAIC(:,104)+ 3.00000.*ALGEBRAIC(:,95); RATES(:,2) = - ALGEBRAIC(:,107)./( CONSTANTS(:,3).*CONSTANTS(:,13)); ALGEBRAIC(:,108) = (ALGEBRAIC(:,71)+ALGEBRAIC(:,72)+ALGEBRAIC(:,76)+ALGEBRAIC(:,88)+ALGEBRAIC(:,73)+ALGEBRAIC(:,45)+ALGEBRAIC(:,50)+ALGEBRAIC(:,79)+ALGEBRAIC(:,84)+ALGEBRAIC(:,82)) - 2.00000.*ALGEBRAIC(:,104); RATES(:,3) = - (ALGEBRAIC(:,108)+ALGEBRAIC(:,1))./( CONSTANTS(:,3).*CONSTANTS(:,13)); ALGEBRAIC(:,105) = 1.00000./(1.00000+ power(CONSTANTS(:,57)./CONSTANTS(:,12), 1.12000).*(1.00000+power(ALGEBRAIC(:,102)./CONSTANTS(:,55), 1.06000))); ALGEBRAIC(:,110) = CONSTANTS(:,51).*ALGEBRAIC(:,103)+ CONSTANTS(:,53).*ALGEBRAIC(:,105); ALGEBRAIC(:,100) = 1.00000./(1.00000+ power(CONSTANTS(:,56)./STATES(:,3), 1.12000).*(1.00000+power(STATES(:,2)./CONSTANTS(:,54), 1.06000))); ALGEBRAIC(:,112) = ALGEBRAIC(:,101).*ALGEBRAIC(:,99)+ CONSTANTS(:,52).*ALGEBRAIC(:,100); RATES(:,28) = ALGEBRAIC(:,110).*(1.00000 - STATES(:,28)) - ALGEBRAIC(:,112).*STATES(:,28); ALGEBRAIC(:,111) = 1.00000./(1.00000+CONSTANTS(:,64)./ALGEBRAIC(:,30)); ALGEBRAIC(:,109) = 1.00000./(1.00000+CONSTANTS(:,63)./STATES(:,29)); ALGEBRAIC(:,115) = 1.00000./(1.00000+CONSTANTS(:,65)./STATES(:,5)); ALGEBRAIC(:,116) = CONSTANTS(:,66).*1.00000.*( CONSTANTS(:,60).*ALGEBRAIC(:,109).*STATES(:,30) - ALGEBRAIC(:,115).*ALGEBRAIC(:,111).*(1.00000 - STATES(:,30))); ALGEBRAIC(:,118) = - 0.400000.*STATES(:,35).*CONSTANTS(:,76); RATES(:,5) = (( CONSTANTS(:,16).*(CONSTANTS(:,17) - STATES(:,5))+ALGEBRAIC(:,118)) - ALGEBRAIC(:,104)./( CONSTANTS(:,3).*CONSTANTS(:,13)))+ALGEBRAIC(:,116)./( 4.00000.*CONSTANTS(:,3).*CONSTANTS(:,13)); ALGEBRAIC(:,114) = 1.00000 - ALGEBRAIC(:,111); ALGEBRAIC(:,117) = ALGEBRAIC(:,115).*ALGEBRAIC(:,111)+ CONSTANTS(:,62).*ALGEBRAIC(:,114); ALGEBRAIC(:,113) = 1.00000 - ALGEBRAIC(:,109); ALGEBRAIC(:,119) = CONSTANTS(:,60).*ALGEBRAIC(:,109)+ CONSTANTS(:,61).*ALGEBRAIC(:,113); RATES(:,30) = ALGEBRAIC(:,117).*(1.00000 - STATES(:,30)) - ALGEBRAIC(:,119).*STATES(:,30); ALGEBRAIC(:,53) = ALGEBRAIC(:,52).*ALGEBRAIC(:,47); ALGEBRAIC(:,120) = 280000..*power(ALGEBRAIC(:,30)./1.00000, 2.00000)+ CONSTANTS(:,69).*ALGEBRAIC(:,53); ALGEBRAIC(:,122) = (CONSTANTS(:,74) - STATES(:,33))+CONSTANTS(:,75); ALGEBRAIC(:,123) = CONSTANTS(:,75).*STATES(:,33); ALGEBRAIC(:,124) = (power((power(ALGEBRAIC(:,122), 2.00000)+ 4.00000.*ALGEBRAIC(:,123)), 1.0 ./ 2) - ALGEBRAIC(:,122))./2.00000; ALGEBRAIC(:,125) = 0.0800000./(1.00000+0.360000./ALGEBRAIC(:,124)); RATES(:,31) = STATES(:,32).*ALGEBRAIC(:,120) - STATES(:,31).*ALGEBRAIC(:,125); ALGEBRAIC(:,126) = 0.000377000.*power(ALGEBRAIC(:,124)./1.00000, 2.00000); RATES(:,32) = ALGEBRAIC(:,126).*(1.00000 - (STATES(:,31)+STATES(:,32))) - (ALGEBRAIC(:,120)+CONSTANTS(:,68)).*STATES(:,32); ALGEBRAIC(:,127) = CONSTANTS(:,67).*(ALGEBRAIC(:,124) - ALGEBRAIC(:,30)).*STATES(:,31); ALGEBRAIC(:,128) = CONSTANTS(:,70).*(STATES(:,29) - ALGEBRAIC(:,124)); RATES(:,33) = (ALGEBRAIC(:,128) - ALGEBRAIC(:,127))./( 2.00000.*CONSTANTS(:,3).*CONSTANTS(:,72)); ALGEBRAIC(:,121) = CONSTANTS(:,71).*(STATES(:,29) - ALGEBRAIC(:,30)); RATES(:,29) = (( - ALGEBRAIC(:,116) - ALGEBRAIC(:,128)) - ALGEBRAIC(:,121))./( 2.00000.*CONSTANTS(:,3).*CONSTANTS(:,73)); ALGEBRAIC(:,135) = CONSTANTS(:,78).*STATES(:,34).*CONSTANTS(:,99) - CONSTANTS(:,83).*STATES(:,35); ALGEBRAIC(:,131) = ((1.00000 - STATES(:,34)) - STATES(:,35)) - STATES(:,36); ALGEBRAIC(:,133) = CONSTANTS(:,77).*ALGEBRAIC(:,30).*ALGEBRAIC(:,131) - CONSTANTS(:,82).*STATES(:,34); RATES(:,34) = ALGEBRAIC(:,133) - ALGEBRAIC(:,135); ALGEBRAIC(:,129) = CONSTANTS(:,86) - STATES(:,37); RATES(:,37) = CONSTANTS(:,91).*(ALGEBRAIC(:,129) - CONSTANTS(:,92)); ALGEBRAIC(:,137) = CONSTANTS(:,79).*STATES(:,35) - CONSTANTS(:,84).*STATES(:,36).*ALGEBRAIC(:,30); ALGEBRAIC(:,140) = CONSTANTS(:,81).*power(RATES(:,37), 2.00000).*STATES(:,35); RATES(:,35) = (ALGEBRAIC(:,135) - ALGEBRAIC(:,137)) - ALGEBRAIC(:,140); ALGEBRAIC(:,138) = CONSTANTS(:,80).*STATES(:,36); ALGEBRAIC(:,139) = CONSTANTS(:,81).*power(RATES(:,37), 2.00000).*STATES(:,36); RATES(:,36) = (ALGEBRAIC(:,137) - ALGEBRAIC(:,138)) - ALGEBRAIC(:,139); ALGEBRAIC(:,97) = (ALGEBRAIC(:,48)+ALGEBRAIC(:,55)+ALGEBRAIC(:,89)) - 2.00000.*ALGEBRAIC(:,95); ALGEBRAIC(:,141) = CONSTANTS(:,76).*((ALGEBRAIC(:,140)+ALGEBRAIC(:,137)) - ALGEBRAIC(:,133)); RATES(:,4) = - (((ALGEBRAIC(:,97) - ALGEBRAIC(:,116)) - ALGEBRAIC(:,127)) - ALGEBRAIC(:,121))./( 2.00000.*CONSTANTS(:,3).*CONSTANTS(:,13))+ALGEBRAIC(:,141); RATES = RATES'; end % Calculate algebraic variables function ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI) statesSize = size(STATES); statesColumnCount = statesSize(2); if ( statesColumnCount == 1) STATES = STATES'; utilOnes = 1; else statesRowCount = statesSize(1); utilOnes = ones(statesRowCount, 1); end ALGEBRAIC(:,3) = 1.00000./( 9.00000e+09.*exp(STATES(:,1)./5.00000)+ 8000.00.*exp(STATES(:,1)./100.000)); ALGEBRAIC(:,16) = 1.00000./( 0.0140000.*exp( - STATES(:,1)./5.00000)+ 4000.00.*exp( - STATES(:,1)./100.000)); ALGEBRAIC(:,5) = 1.00000./( 250000..*exp(STATES(:,1)./9.00000)+ 58.0000.*exp(STATES(:,1)./65.0000)); ALGEBRAIC(:,18) = 1.00000./( 1800.00.*exp( - STATES(:,1)./14.0000)+ 66.0000.*exp( - STATES(:,1)./65.0000)); ALGEBRAIC(:,6) = 1.00000./( 0.0190000.*exp( - STATES(:,1)./5.60000)+ 0.820000.*exp( - STATES(:,1)./250.000)); ALGEBRAIC(:,19) = 1.00000./( 40.0000.*exp(STATES(:,1)./6.30000)+ 1.50000.*exp(STATES(:,1)./10000.0)); ALGEBRAIC(:,7) = 1.00000./( 62000.0.*exp(STATES(:,1)./10.1000)+ 30.0000.*exp(STATES(:,1)./3000.00)); ALGEBRAIC(:,20) = 1.00000./( 0.000600000.*exp( - STATES(:,1)./6.70000)+ 1.20000.*exp( - STATES(:,1)./25.0000)); ALGEBRAIC(:,8) = 1.00000./( 20.0000.*exp( - STATES(:,1)./11.5000)+ 5.00000.*exp( - STATES(:,1)./300.000)); ALGEBRAIC(:,21) = 1.00000./( 160.000.*exp(STATES(:,1)./28.0000)+ 200.000.*exp(STATES(:,1)./1000.00))+1.00000./( 2500.00.*exp(STATES(:,1)./20.0000)); ALGEBRAIC(:,9) = 1.00000./( 200.000.*exp( - STATES(:,1)./13.0000)+ 20.0000.*exp( - STATES(:,1)./300.000)); ALGEBRAIC(:,22) = 1.00000./( 1600.00.*exp(STATES(:,1)./28.0000)+ 2000.00.*exp(STATES(:,1)./1000.00))+1.00000./( 10000.0.*exp(STATES(:,1)./20.0000)); ALGEBRAIC(:,10) = 1.00000./( 10.0000.*exp(STATES(:,1)./17.0000)+ 2.50000.*exp(STATES(:,1)./300.000)); ALGEBRAIC(:,23) = 1.00000./( 0.350000.*exp( - STATES(:,1)./17.0000)+ 2.00000.*exp( - STATES(:,1)./150.000)); ALGEBRAIC(:,11) = 1.00000./( 85.0000.*exp( - STATES(:,1)./10.5000)+ 370.000.*exp( - STATES(:,1)./62.0000)); ALGEBRAIC(:,24) = 1.00000./( 1450.00.*exp(STATES(:,1)./20.0000)+ 260.000.*exp(STATES(:,1)./100.000)); ALGEBRAIC(:,12) = 1.00000./( 11.0000.*exp( - STATES(:,1)./28.0000)+ 0.200000.*exp( - STATES(:,1)./400.000)); ALGEBRAIC(:,25) = 1.00000./( 4.40000.*exp(STATES(:,1)./16.0000)+ 0.200000.*exp(STATES(:,1)./500.000)); ALGEBRAIC(:,13) = ( 0.00380000.*exp( - (STATES(:,1)+13.5000)./11.3000))./(1.00000+ 0.0513350.*exp( - (STATES(:,1)+13.5000)./11.3000)); ALGEBRAIC(:,26) = ( 0.00380000.*exp((STATES(:,1)+13.5000)./11.3000))./(1.00000+ 0.0670830.*exp((STATES(:,1)+13.5000)./11.3000)); ALGEBRAIC(:,17) = 1.00000./( 0.270000.*exp( - STATES(:,1)./5.90000)+ 1.50000.*exp( - STATES(:,1)./65.0000)); ALGEBRAIC(:,29) = 1.00000./( 480.000.*exp(STATES(:,1)./7.00000)+ 2.20000.*exp(STATES(:,1)./65.0000)); ALGEBRAIC(:,15) = 1.00000./( 0.102700.*exp( - STATES(:,1)./8.00000)+ 0.250000.*exp( - STATES(:,1)./50.0000)); ALGEBRAIC(:,28) = 1.00000./( 26.0000.*exp(STATES(:,1)./17.0000)+ 0.0200000.*exp(STATES(:,1)./800.000)); ALGEBRAIC(:,31) = 1.00000./( 0.800000.*exp( - STATES(:,1)./400.000)); ALGEBRAIC(:,4) = ((1.00000 - STATES(:,10)) - STATES(:,14)) - STATES(:,15); ALGEBRAIC(:,32) = 1.00000./( 0.00180000.*exp( - STATES(:,1)./7.40000)+ 2.00000.*exp( - STATES(:,1)./100.000)); ALGEBRAIC(:,35) = 1.00000./( 2.20000e+06.*exp(STATES(:,1)./7.40000)+ 11.0000.*exp(STATES(:,1)./100.000)); ALGEBRAIC(:,14) = (CONSTANTS(:,14) - STATES(:,4))+CONSTANTS(:,15); ALGEBRAIC(:,27) = CONSTANTS(:,15).*STATES(:,4); ALGEBRAIC(:,30) = (power((power(ALGEBRAIC(:,14), 2.00000)+ 4.00000.*ALGEBRAIC(:,27)), 1.0 ./ 2) - ALGEBRAIC(:,14))./2.00000; ALGEBRAIC(:,36) = 3.70000.*ALGEBRAIC(:,30); ALGEBRAIC(:,2) = ((1.00000 - STATES(:,8)) - STATES(:,6)) - STATES(:,9); ALGEBRAIC(:,38) = 1.00000./( 0.000102700.*exp( - STATES(:,1)./8.00000)+ 5.00000.*exp( - STATES(:,1)./400.000)); ALGEBRAIC(:,34) = 1.00000./( 1300.00.*exp(STATES(:,1)./20.0000)+ 0.0400000.*exp(STATES(:,1)./800.000)); ALGEBRAIC(:,39) = 0.0400000./(1.00000+( CONSTANTS(:,22).*ALGEBRAIC(:,29).*ALGEBRAIC(:,32))./( CONSTANTS(:,21).*ALGEBRAIC(:,17).*ALGEBRAIC(:,35))); ALGEBRAIC(:,42) = 0.0400000 - ALGEBRAIC(:,39); ALGEBRAIC(:,41) = 0.0100000./(1.00000+( CONSTANTS(:,19).*ALGEBRAIC(:,28).*ALGEBRAIC(:,38))./( ALGEBRAIC(:,31).*ALGEBRAIC(:,15).*ALGEBRAIC(:,34))); ALGEBRAIC(:,44) = 0.0100000 - ALGEBRAIC(:,41); ALGEBRAIC(:,37) = piecewise({STATES(:,1)==0.00000, - CONSTANTS(:,11) }, ( (( 2.00000.*CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*(ALGEBRAIC(:,30) - CONSTANTS(:,11).*exp(( - 2.00000.*CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2)))))./(1.00000 - exp(( - 2.00000.*CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2))))); ALGEBRAIC(:,52) = 0.0676000.*ALGEBRAIC(:,37); ALGEBRAIC(:,54) = ALGEBRAIC(:,30) - 0.300000.*ALGEBRAIC(:,52); ALGEBRAIC(:,56) = ALGEBRAIC(:,54).*STATES(:,10); ALGEBRAIC(:,58) = ALGEBRAIC(:,56)+ ALGEBRAIC(:,30).*(1.00000 - STATES(:,10)); ALGEBRAIC(:,61) = CONSTANTS(:,27).*ALGEBRAIC(:,58); ALGEBRAIC(:,63) = ((1.00000 - STATES(:,16)) - STATES(:,11)) - STATES(:,12); ALGEBRAIC(:,57) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,12)./STATES(:,3)); ALGEBRAIC(:,67) = 1.00000./( 8000.00.*exp(((STATES(:,1) - ALGEBRAIC(:,57)) - 97.0000)./8.50000)+ 7.00000.*exp(((STATES(:,1) - ALGEBRAIC(:,57)) - 97.0000)./300.000)); ALGEBRAIC(:,60) = ( 0.750000.*exp( 0.0350000.*((STATES(:,1) - ALGEBRAIC(:,57)) - 10.0000)))./(1.00000+exp( 0.0150000.*((STATES(:,1) - ALGEBRAIC(:,57)) - 140.000))); ALGEBRAIC(:,62) = ( 3.00000.*exp( - 0.0480000.*((STATES(:,1) - ALGEBRAIC(:,57)) - 10.0000)).*(1.00000+exp( 0.0640000.*((STATES(:,1) - ALGEBRAIC(:,57)) - 38.0000))))./(1.00000+exp( 0.0300000.*((STATES(:,1) - ALGEBRAIC(:,57)) - 70.0000))); ALGEBRAIC(:,65) = ALGEBRAIC(:,62)./(ALGEBRAIC(:,60)+ALGEBRAIC(:,62)); ALGEBRAIC(:,69) = ( power(ALGEBRAIC(:,65), 4.00000).*1.00000)./( 0.000140000.*exp( - ((STATES(:,1) - ALGEBRAIC(:,57)) - 97.0000)./9.10000)+ 0.200000.*exp( - ((STATES(:,1) - ALGEBRAIC(:,57)) - 97.0000)./500.000)); ALGEBRAIC(:,94) = 1.00000.*exp(( (CONSTANTS(:,50) - 1.00000).*CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2))); ALGEBRAIC(:,96) = ALGEBRAIC(:,94).*CONSTANTS(:,98)+ CONSTANTS(:,44).*CONSTANTS(:,101); ALGEBRAIC(:,91) = 1.00000./(1.00000+ power(CONSTANTS(:,45)./STATES(:,2), 3.00000).*(1.00000+ALGEBRAIC(:,30)./CONSTANTS(:,47))); ALGEBRAIC(:,92) = 1.00000./(1.00000+ (CONSTANTS(:,47)./ALGEBRAIC(:,30)).*(1.00000+power(STATES(:,2)./CONSTANTS(:,45), 3.00000))); ALGEBRAIC(:,93) = 1.00000.*exp(( CONSTANTS(:,50).*CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2))); ALGEBRAIC(:,98) = ALGEBRAIC(:,93).*ALGEBRAIC(:,91)+ CONSTANTS(:,43).*ALGEBRAIC(:,92); ALGEBRAIC(:,1) = piecewise({VOI>=CONSTANTS(:,5)&VOI<=CONSTANTS(:,6)&(VOI - CONSTANTS(:,5)) - floor((VOI - CONSTANTS(:,5))./CONSTANTS(:,7)).*CONSTANTS(:,7)<=CONSTANTS(:,8), CONSTANTS(:,9) }, 0.00000); ALGEBRAIC(:,33) = piecewise({STATES(:,1)==0.00000, - CONSTANTS(:,10) }, ( (( CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*(STATES(:,2) - CONSTANTS(:,10).*exp(( - CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2)))))./(1.00000 - exp(( - CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2))))); ALGEBRAIC(:,80) = CONSTANTS(:,38).*ALGEBRAIC(:,33); ALGEBRAIC(:,40) = piecewise({STATES(:,1)==0.00000, STATES(:,3) }, ( (( CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*(STATES(:,3) - CONSTANTS(:,12).*exp(( - CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2)))))./(1.00000 - exp(( - CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2))))); ALGEBRAIC(:,79) = 0.400000.*CONSTANTS(:,38).*ALGEBRAIC(:,40); ALGEBRAIC(:,81) = ALGEBRAIC(:,79)+ALGEBRAIC(:,80); ALGEBRAIC(:,89) = CONSTANTS(:,42).*ALGEBRAIC(:,37); ALGEBRAIC(:,82) = piecewise({STATES(:,1)== - 3.00000, CONSTANTS(:,96).*ALGEBRAIC(:,40).*13.0077 }, ( CONSTANTS(:,96).*ALGEBRAIC(:,40).*(STATES(:,1)+3.00000))./(1.00000 - exp( - (STATES(:,1)+3.00000)./13.0000))); ALGEBRAIC(:,83) = 1.00000./(1.00000+power(0.00120000./ALGEBRAIC(:,30), 3.00000)); ALGEBRAIC(:,85) = CONSTANTS(:,39).*ALGEBRAIC(:,33).*ALGEBRAIC(:,83); ALGEBRAIC(:,84) = CONSTANTS(:,39).*ALGEBRAIC(:,40).*ALGEBRAIC(:,83); ALGEBRAIC(:,86) = ALGEBRAIC(:,84)+ALGEBRAIC(:,85); ALGEBRAIC(:,87) = 0.800000./(1.00000+power(STATES(:,5)./0.100000, 2.00000)); ALGEBRAIC(:,88) = CONSTANTS(:,97).*(STATES(:,1) - ALGEBRAIC(:,57)).*ALGEBRAIC(:,87); ALGEBRAIC(:,90) = ALGEBRAIC(:,81)+ALGEBRAIC(:,89)+ALGEBRAIC(:,82)+ALGEBRAIC(:,86)+ALGEBRAIC(:,88); ALGEBRAIC(:,43) = CONSTANTS(:,18).*ALGEBRAIC(:,33).*STATES(:,6).*STATES(:,7); ALGEBRAIC(:,45) = 0.100000.*CONSTANTS(:,18).*ALGEBRAIC(:,40).*STATES(:,6).*STATES(:,7); ALGEBRAIC(:,46) = ALGEBRAIC(:,43)+ALGEBRAIC(:,45); ALGEBRAIC(:,47) = ( STATES(:,10).*(STATES(:,11)+STATES(:,12)).*STATES(:,13))./(1.00000+power(1.40000./STATES(:,5), 3.00000)); ALGEBRAIC(:,49) = 1.85000e-05.*CONSTANTS(:,20).*ALGEBRAIC(:,33).*ALGEBRAIC(:,47); ALGEBRAIC(:,50) = 0.000365000.*CONSTANTS(:,20).*ALGEBRAIC(:,40).*ALGEBRAIC(:,47); ALGEBRAIC(:,48) = CONSTANTS(:,20).*ALGEBRAIC(:,37).*ALGEBRAIC(:,47); ALGEBRAIC(:,51) = ALGEBRAIC(:,49)+ALGEBRAIC(:,48)+ALGEBRAIC(:,50); ALGEBRAIC(:,55) = CONSTANTS(:,30).*ALGEBRAIC(:,37).*STATES(:,17).*STATES(:,18); ALGEBRAIC(:,64) = ALGEBRAIC(:,60)./(ALGEBRAIC(:,60)+ALGEBRAIC(:,62)); ALGEBRAIC(:,66) = 2.00000.*power(ALGEBRAIC(:,65), 2.00000).*power(ALGEBRAIC(:,64), 2.00000); ALGEBRAIC(:,68) = (8.00000./3.00000).*power(ALGEBRAIC(:,65), 3.00000).*ALGEBRAIC(:,64); ALGEBRAIC(:,70) = power(ALGEBRAIC(:,65), 4.00000); ALGEBRAIC(:,71) = CONSTANTS(:,94).*(STATES(:,1) - ALGEBRAIC(:,57)).*(ALGEBRAIC(:,70)+ALGEBRAIC(:,68)+ALGEBRAIC(:,66)).*STATES(:,19); ALGEBRAIC(:,72) = CONSTANTS(:,95).*(STATES(:,1) - ALGEBRAIC(:,57)).*( 0.600000.*STATES(:,20)+ 0.400000.*STATES(:,21)).*STATES(:,22); ALGEBRAIC(:,73) = CONSTANTS(:,33).*ALGEBRAIC(:,40).*power(STATES(:,23), 2.00000).*( 0.900000.*STATES(:,24)+0.100000); ALGEBRAIC(:,74) = CONSTANTS(:,34).*ALGEBRAIC(:,33).*power(STATES(:,23), 2.00000).*( 0.900000.*STATES(:,24)+0.100000); ALGEBRAIC(:,75) = ALGEBRAIC(:,74)+ALGEBRAIC(:,73); ALGEBRAIC(:,76) = CONSTANTS(:,36).*ALGEBRAIC(:,40).*power(STATES(:,25), 3.00000).*STATES(:,26); ALGEBRAIC(:,77) = CONSTANTS(:,37).*ALGEBRAIC(:,33).*power(STATES(:,25), 3.00000).*STATES(:,26); ALGEBRAIC(:,78) = ALGEBRAIC(:,77)+ALGEBRAIC(:,76); ALGEBRAIC(:,102) = CONSTANTS(:,10).*exp(( - 0.820000.*CONSTANTS(:,3).*STATES(:,1))./( CONSTANTS(:,1).*CONSTANTS(:,2))); ALGEBRAIC(:,103) = 1.00000./(1.00000+ power(CONSTANTS(:,55)./ALGEBRAIC(:,102), 1.06000).*(1.00000+power(CONSTANTS(:,12)./CONSTANTS(:,57), 1.12000))); ALGEBRAIC(:,99) = 1.00000./(1.00000+ power(CONSTANTS(:,54)./STATES(:,2), 1.06000).*(1.00000+power(STATES(:,3)./CONSTANTS(:,56), 1.12000))); ALGEBRAIC(:,101) = 0.370000./(1.00000+CONSTANTS(:,58)./STATES(:,5)); ALGEBRAIC(:,104) = CONSTANTS(:,59).*CONSTANTS(:,4).*1.00000.*( ALGEBRAIC(:,101).*ALGEBRAIC(:,99).*STATES(:,28) - CONSTANTS(:,51).*ALGEBRAIC(:,103).*(1.00000 - STATES(:,28))); ALGEBRAIC(:,95) = CONSTANTS(:,49).*CONSTANTS(:,4).*1.00000.*( ALGEBRAIC(:,93).*ALGEBRAIC(:,91).*STATES(:,27) - ALGEBRAIC(:,94).*CONSTANTS(:,98).*(1.00000 - STATES(:,27))); ALGEBRAIC(:,106) = ALGEBRAIC(:,46)+ALGEBRAIC(:,51)+ALGEBRAIC(:,55)+ALGEBRAIC(:,71)+ALGEBRAIC(:,72)+ALGEBRAIC(:,75)+ALGEBRAIC(:,78)+ALGEBRAIC(:,90)+ALGEBRAIC(:,104)+ALGEBRAIC(:,95); ALGEBRAIC(:,107) = ALGEBRAIC(:,43)+ALGEBRAIC(:,74)+ALGEBRAIC(:,77)+ALGEBRAIC(:,49)+ALGEBRAIC(:,80)+ALGEBRAIC(:,85)+ 3.00000.*ALGEBRAIC(:,104)+ 3.00000.*ALGEBRAIC(:,95); ALGEBRAIC(:,108) = (ALGEBRAIC(:,71)+ALGEBRAIC(:,72)+ALGEBRAIC(:,76)+ALGEBRAIC(:,88)+ALGEBRAIC(:,73)+ALGEBRAIC(:,45)+ALGEBRAIC(:,50)+ALGEBRAIC(:,79)+ALGEBRAIC(:,84)+ALGEBRAIC(:,82)) - 2.00000.*ALGEBRAIC(:,104); ALGEBRAIC(:,105) = 1.00000./(1.00000+ power(CONSTANTS(:,57)./CONSTANTS(:,12), 1.12000).*(1.00000+power(ALGEBRAIC(:,102)./CONSTANTS(:,55), 1.06000))); ALGEBRAIC(:,110) = CONSTANTS(:,51).*ALGEBRAIC(:,103)+ CONSTANTS(:,53).*ALGEBRAIC(:,105); ALGEBRAIC(:,100) = 1.00000./(1.00000+ power(CONSTANTS(:,56)./STATES(:,3), 1.12000).*(1.00000+power(STATES(:,2)./CONSTANTS(:,54), 1.06000))); ALGEBRAIC(:,112) = ALGEBRAIC(:,101).*ALGEBRAIC(:,99)+ CONSTANTS(:,52).*ALGEBRAIC(:,100); ALGEBRAIC(:,111) = 1.00000./(1.00000+CONSTANTS(:,64)./ALGEBRAIC(:,30)); ALGEBRAIC(:,109) = 1.00000./(1.00000+CONSTANTS(:,63)./STATES(:,29)); ALGEBRAIC(:,115) = 1.00000./(1.00000+CONSTANTS(:,65)./STATES(:,5)); ALGEBRAIC(:,116) = CONSTANTS(:,66).*1.00000.*( CONSTANTS(:,60).*ALGEBRAIC(:,109).*STATES(:,30) - ALGEBRAIC(:,115).*ALGEBRAIC(:,111).*(1.00000 - STATES(:,30))); ALGEBRAIC(:,118) = - 0.400000.*STATES(:,35).*CONSTANTS(:,76); ALGEBRAIC(:,114) = 1.00000 - ALGEBRAIC(:,111); ALGEBRAIC(:,117) = ALGEBRAIC(:,115).*ALGEBRAIC(:,111)+ CONSTANTS(:,62).*ALGEBRAIC(:,114); ALGEBRAIC(:,113) = 1.00000 - ALGEBRAIC(:,109); ALGEBRAIC(:,119) = CONSTANTS(:,60).*ALGEBRAIC(:,109)+ CONSTANTS(:,61).*ALGEBRAIC(:,113); ALGEBRAIC(:,53) = ALGEBRAIC(:,52).*ALGEBRAIC(:,47); ALGEBRAIC(:,120) = 280000..*power(ALGEBRAIC(:,30)./1.00000, 2.00000)+ CONSTANTS(:,69).*ALGEBRAIC(:,53); ALGEBRAIC(:,122) = (CONSTANTS(:,74) - STATES(:,33))+CONSTANTS(:,75); ALGEBRAIC(:,123) = CONSTANTS(:,75).*STATES(:,33); ALGEBRAIC(:,124) = (power((power(ALGEBRAIC(:,122), 2.00000)+ 4.00000.*ALGEBRAIC(:,123)), 1.0 ./ 2) - ALGEBRAIC(:,122))./2.00000; ALGEBRAIC(:,125) = 0.0800000./(1.00000+0.360000./ALGEBRAIC(:,124)); ALGEBRAIC(:,126) = 0.000377000.*power(ALGEBRAIC(:,124)./1.00000, 2.00000); ALGEBRAIC(:,127) = CONSTANTS(:,67).*(ALGEBRAIC(:,124) - ALGEBRAIC(:,30)).*STATES(:,31); ALGEBRAIC(:,128) = CONSTANTS(:,70).*(STATES(:,29) - ALGEBRAIC(:,124)); ALGEBRAIC(:,121) = CONSTANTS(:,71).*(STATES(:,29) - ALGEBRAIC(:,30)); ALGEBRAIC(:,135) = CONSTANTS(:,78).*STATES(:,34).*CONSTANTS(:,99) - CONSTANTS(:,83).*STATES(:,35); ALGEBRAIC(:,131) = ((1.00000 - STATES(:,34)) - STATES(:,35)) - STATES(:,36); ALGEBRAIC(:,133) = CONSTANTS(:,77).*ALGEBRAIC(:,30).*ALGEBRAIC(:,131) - CONSTANTS(:,82).*STATES(:,34); ALGEBRAIC(:,129) = CONSTANTS(:,86) - STATES(:,37); ALGEBRAIC(:,137) = CONSTANTS(:,79).*STATES(:,35) - CONSTANTS(:,84).*STATES(:,36).*ALGEBRAIC(:,30); ALGEBRAIC(:,140) = CONSTANTS(:,81).*power(RATES(:,37), 2.00000).*STATES(:,35); ALGEBRAIC(:,138) = CONSTANTS(:,80).*STATES(:,36); ALGEBRAIC(:,139) = CONSTANTS(:,81).*power(RATES(:,37), 2.00000).*STATES(:,36); ALGEBRAIC(:,97) = (ALGEBRAIC(:,48)+ALGEBRAIC(:,55)+ALGEBRAIC(:,89)) - 2.00000.*ALGEBRAIC(:,95); ALGEBRAIC(:,141) = CONSTANTS(:,76).*((ALGEBRAIC(:,140)+ALGEBRAIC(:,137)) - ALGEBRAIC(:,133)); ALGEBRAIC(:,59) = CONSTANTS(:,29).*ALGEBRAIC(:,56); ALGEBRAIC(:,130) = CONSTANTS(:,76).*(STATES(:,35)+STATES(:,36)); ALGEBRAIC(:,132) = CONSTANTS(:,90).*ALGEBRAIC(:,130); ALGEBRAIC(:,134) = ALGEBRAIC(:,132).*ALGEBRAIC(:,129); ALGEBRAIC(:,136) = - CONSTANTS(:,100)+ALGEBRAIC(:,134); 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