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 =50; end % There are a total of 11 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 (millisecond)'); LEGEND_ALGEBRAIC(:,4) = strpad('SOVFThick in component sarcomere_geometry (dimensionless)'); LEGEND_ALGEBRAIC(:,5) = strpad('SOVFThin in component sarcomere_geometry (dimensionless)'); LEGEND_ALGEBRAIC(:,1) = strpad('sovr_ze in component sarcomere_geometry (micrometre)'); LEGEND_ALGEBRAIC(:,2) = strpad('sovr_cle in component sarcomere_geometry (micrometre)'); LEGEND_ALGEBRAIC(:,3) = strpad('len_sovr in component sarcomere_geometry (micrometre)'); LEGEND_CONSTANTS(:,1) = strpad('len_thin in component model_parameters (micrometre)'); LEGEND_CONSTANTS(:,2) = strpad('len_thick in component model_parameters (micrometre)'); LEGEND_CONSTANTS(:,3) = strpad('len_hbare in component model_parameters (micrometre)'); LEGEND_STATES(:,1) = strpad('SL in component normalised_active_and_passive_force (micrometre)'); LEGEND_STATES(:,2) = strpad('TRPNCaL in component Ca_binding_to_troponin_to_thin_filament_regulation (dimensionless)'); LEGEND_STATES(:,3) = strpad('TRPNCaH in component Ca_binding_to_troponin_to_thin_filament_regulation (dimensionless)'); LEGEND_ALGEBRAIC(:,8) = strpad('dTRPNCaL in component Ca_binding_to_troponin_to_thin_filament_regulation (first_order_rate_constant)'); LEGEND_ALGEBRAIC(:,11) = strpad('dTRPNCaH in component Ca_binding_to_troponin_to_thin_filament_regulation (first_order_rate_constant)'); LEGEND_ALGEBRAIC(:,13) = strpad('kn_pT in component Ca_binding_to_troponin_to_thin_filament_regulation (first_order_rate_constant)'); LEGEND_ALGEBRAIC(:,19) = strpad('kp_nT in component Ca_binding_to_troponin_to_thin_filament_regulation (first_order_rate_constant)'); LEGEND_CONSTANTS(:,61) = strpad('H in component Ca_binding_to_troponin_to_thin_filament_regulation (micromolar)'); LEGEND_CONSTANTS(:,63) = strpad('H_cons in component Ca_binding_to_troponin_to_thin_filament_regulation (micromolar)'); LEGEND_CONSTANTS(:,64) = strpad('konT in component Ca_binding_to_troponin_to_thin_filament_regulation (second_order_rate_constant)'); LEGEND_CONSTANTS(:,59) = strpad('koffLT in component Ca_binding_to_troponin_to_thin_filament_regulation (first_order_rate_constant)'); LEGEND_CONSTANTS(:,60) = strpad('koffHT in component Ca_binding_to_troponin_to_thin_filament_regulation (first_order_rate_constant)'); LEGEND_CONSTANTS(:,4) = strpad('Qkon in component Ca_binding_to_troponin_to_thin_filament_regulation (dimensionless)'); LEGEND_CONSTANTS(:,5) = strpad('Qkoff in component Ca_binding_to_troponin_to_thin_filament_regulation (dimensionless)'); LEGEND_CONSTANTS(:,6) = strpad('Qkn_p in component Ca_binding_to_troponin_to_thin_filament_regulation (dimensionless)'); LEGEND_CONSTANTS(:,7) = strpad('Qkp_n in component Ca_binding_to_troponin_to_thin_filament_regulation (dimensionless)'); LEGEND_CONSTANTS(:,8) = strpad('kon in component Ca_binding_to_troponin_to_thin_filament_regulation (second_order_rate_constant)'); LEGEND_CONSTANTS(:,9) = strpad('koffL in component Ca_binding_to_troponin_to_thin_filament_regulation (first_order_rate_constant)'); LEGEND_CONSTANTS(:,10) = strpad('koffH in component Ca_binding_to_troponin_to_thin_filament_regulation (first_order_rate_constant)'); LEGEND_CONSTANTS(:,11) = strpad('perm50 in component Ca_binding_to_troponin_to_thin_filament_regulation (dimensionless)'); LEGEND_CONSTANTS(:,12) = strpad('nperm in component Ca_binding_to_troponin_to_thin_filament_regulation (dimensionless)'); LEGEND_CONSTANTS(:,13) = strpad('kn_p in component Ca_binding_to_troponin_to_thin_filament_regulation (first_order_rate_constant)'); LEGEND_CONSTANTS(:,14) = strpad('kp_n in component Ca_binding_to_troponin_to_thin_filament_regulation (first_order_rate_constant)'); LEGEND_CONSTANTS(:,15) = strpad('koffmod in component Ca_binding_to_troponin_to_thin_filament_regulation (dimensionless)'); LEGEND_ALGEBRAIC(:,7) = strpad('Tropreg in component Ca_binding_to_troponin_to_thin_filament_regulation (dimensionless)'); LEGEND_ALGEBRAIC(:,10) = strpad('permtot in component Ca_binding_to_troponin_to_thin_filament_regulation (dimensionless)'); LEGEND_ALGEBRAIC(:,16) = strpad('inprmt in component Ca_binding_to_troponin_to_thin_filament_regulation (dimensionless)'); LEGEND_CONSTANTS(:,16) = strpad('pH in component Ca_binding_to_troponin_to_thin_filament_regulation (dimensionless)'); LEGEND_CONSTANTS(:,17) = strpad('m in component Ca_binding_to_troponin_to_thin_filament_regulation (dimensionless)'); LEGEND_CONSTANTS(:,18) = strpad('kdHCa in component Ca_binding_to_troponin_to_thin_filament_regulation (micromolar)'); LEGEND_CONSTANTS(:,19) = strpad('TmpC in component model_parameters (celsius)'); LEGEND_CONSTANTS(:,20) = strpad('Cai in component model_parameters (micromolar)'); LEGEND_CONSTANTS(:,65) = strpad('fappT in component thin_filament_regulation_and_crossbridge_cycling_rates (first_order_rate_constant)'); LEGEND_ALGEBRAIC(:,17) = strpad('gappT in component thin_filament_regulation_and_crossbridge_cycling_rates (first_order_rate_constant)'); LEGEND_ALGEBRAIC(:,24) = strpad('hfT in component thin_filament_regulation_and_crossbridge_cycling_rates (first_order_rate_constant)'); LEGEND_ALGEBRAIC(:,25) = strpad('hbT in component thin_filament_regulation_and_crossbridge_cycling_rates (first_order_rate_constant)'); LEGEND_ALGEBRAIC(:,27) = strpad('gxbT in component thin_filament_regulation_and_crossbridge_cycling_rates (first_order_rate_constant)'); LEGEND_CONSTANTS(:,21) = strpad('fapp in component thin_filament_regulation_and_crossbridge_cycling_rates (first_order_rate_constant)'); LEGEND_CONSTANTS(:,22) = strpad('gapp in component thin_filament_regulation_and_crossbridge_cycling_rates (first_order_rate_constant)'); LEGEND_CONSTANTS(:,23) = strpad('hf in component thin_filament_regulation_and_crossbridge_cycling_rates (first_order_rate_constant)'); LEGEND_CONSTANTS(:,24) = strpad('hb in component thin_filament_regulation_and_crossbridge_cycling_rates (first_order_rate_constant)'); LEGEND_CONSTANTS(:,25) = strpad('gxb in component thin_filament_regulation_and_crossbridge_cycling_rates (first_order_rate_constant)'); LEGEND_CONSTANTS(:,26) = strpad('gslmod in component thin_filament_regulation_and_crossbridge_cycling_rates (dimensionless)'); LEGEND_ALGEBRAIC(:,20) = strpad('hfmd in component thin_filament_regulation_and_crossbridge_cycling_rates (dimensionless)'); LEGEND_ALGEBRAIC(:,22) = strpad('hbmd in component thin_filament_regulation_and_crossbridge_cycling_rates (dimensionless)'); LEGEND_CONSTANTS(:,27) = strpad('hfmdc in component thin_filament_regulation_and_crossbridge_cycling_rates (dimensionless)'); LEGEND_CONSTANTS(:,28) = strpad('hbmdc in component thin_filament_regulation_and_crossbridge_cycling_rates (dimensionless)'); LEGEND_CONSTANTS(:,29) = strpad('sigmap in component thin_filament_regulation_and_crossbridge_cycling_rates (dimensionless)'); LEGEND_CONSTANTS(:,30) = strpad('sigman in component thin_filament_regulation_and_crossbridge_cycling_rates (dimensionless)'); LEGEND_CONSTANTS(:,31) = strpad('xbmodsp in component thin_filament_regulation_and_crossbridge_cycling_rates (dimensionless)'); LEGEND_CONSTANTS(:,32) = strpad('Qfapp in component thin_filament_regulation_and_crossbridge_cycling_rates (dimensionless)'); LEGEND_CONSTANTS(:,33) = strpad('Qgapp in component thin_filament_regulation_and_crossbridge_cycling_rates (dimensionless)'); LEGEND_CONSTANTS(:,34) = strpad('Qhf in component thin_filament_regulation_and_crossbridge_cycling_rates (dimensionless)'); LEGEND_CONSTANTS(:,35) = strpad('Qhb in component thin_filament_regulation_and_crossbridge_cycling_rates (dimensionless)'); LEGEND_CONSTANTS(:,36) = strpad('Qgxb in component thin_filament_regulation_and_crossbridge_cycling_rates (dimensionless)'); LEGEND_ALGEBRAIC(:,26) = strpad('gxbmd in component thin_filament_regulation_and_crossbridge_cycling_rates (dimensionless)'); LEGEND_ALGEBRAIC(:,14) = strpad('gapslmd in component thin_filament_regulation_and_crossbridge_cycling_rates (dimensionless)'); LEGEND_CONSTANTS(:,37) = strpad('x_0 in component model_parameters (micrometre)'); LEGEND_STATES(:,4) = strpad('xXBpostr in component mean_strain_of_strongly_bound_states (micrometre)'); LEGEND_STATES(:,5) = strpad('xXBprer in component mean_strain_of_strongly_bound_states (micrometre)'); LEGEND_STATES(:,6) = strpad('XBpostr in component regulation_and_crossbridge_cycling_state_equations (dimensionless)'); LEGEND_STATES(:,7) = strpad('XBprer in component regulation_and_crossbridge_cycling_state_equations (dimensionless)'); LEGEND_ALGEBRAIC(:,35) = strpad('dXBpostr in component regulation_and_crossbridge_cycling_state_equations (first_order_rate_constant)'); LEGEND_ALGEBRAIC(:,32) = strpad('dXBprer in component regulation_and_crossbridge_cycling_state_equations (first_order_rate_constant)'); LEGEND_CONSTANTS(:,66) = strpad('alpha1_plus in component regulation_and_crossbridge_cycling_state_equations (first_order_rate_constant)'); LEGEND_ALGEBRAIC(:,28) = strpad('alpha2_plus in component regulation_and_crossbridge_cycling_state_equations (first_order_rate_constant)'); LEGEND_ALGEBRAIC(:,29) = strpad('alpha3_plus in component regulation_and_crossbridge_cycling_state_equations (first_order_rate_constant)'); LEGEND_ALGEBRAIC(:,30) = strpad('alpha1_minus in component regulation_and_crossbridge_cycling_state_equations (first_order_rate_constant)'); LEGEND_ALGEBRAIC(:,31) = strpad('alpha2_minus in component regulation_and_crossbridge_cycling_state_equations (first_order_rate_constant)'); LEGEND_ALGEBRAIC(:,34) = strpad('alpha3_minus in component regulation_and_crossbridge_cycling_state_equations (first_order_rate_constant)'); LEGEND_CONSTANTS(:,38) = strpad('kMgATP in component regulation_and_crossbridge_cycling_state_equations (micromolar2)'); LEGEND_CONSTANTS(:,39) = strpad('kdADP in component regulation_and_crossbridge_cycling_state_equations (micromolar)'); LEGEND_CONSTANTS(:,40) = strpad('xPi_cons in component regulation_and_crossbridge_cycling_state_equations (micromolar)'); LEGEND_CONSTANTS(:,41) = strpad('MgATP_cons in component regulation_and_crossbridge_cycling_state_equations (micromolar)'); LEGEND_ALGEBRAIC(:,33) = strpad('fxbT in component regulation_and_crossbridge_cycling_state_equations (first_order_rate_constant)'); LEGEND_STATES(:,8) = strpad('N_NoXB in component regulation_and_crossbridge_cycling_state_equations (dimensionless)'); LEGEND_STATES(:,9) = strpad('P_NoXB in component regulation_and_crossbridge_cycling_state_equations (dimensionless)'); LEGEND_STATES(:,10) = strpad('P in component regulation_and_crossbridge_cycling_state_equations (dimensionless)'); LEGEND_ALGEBRAIC(:,23) = strpad('N in component regulation_and_crossbridge_cycling_state_equations (dimensionless)'); LEGEND_CONSTANTS(:,42) = strpad('MgADP_cons in component regulation_and_crossbridge_cycling_state_equations (micromolar)'); LEGEND_CONSTANTS(:,43) = strpad('xPi in component regulation_and_crossbridge_cycling_state_equations (micromolar)'); LEGEND_CONSTANTS(:,44) = strpad('MgATP in component regulation_and_crossbridge_cycling_state_equations (micromolar)'); LEGEND_CONSTANTS(:,45) = strpad('MgADP in component regulation_and_crossbridge_cycling_state_equations (micromolar)'); LEGEND_ALGEBRAIC(:,39) = strpad('dxXBpostr in component mean_strain_of_strongly_bound_states (micrometre_per_millisecond)'); LEGEND_ALGEBRAIC(:,37) = strpad('dxXBprer in component mean_strain_of_strongly_bound_states (micrometre_per_millisecond)'); LEGEND_CONSTANTS(:,46) = strpad('xPsi in component mean_strain_of_strongly_bound_states (dimensionless)'); LEGEND_ALGEBRAIC(:,36) = strpad('dutyprer in component mean_strain_of_strongly_bound_states (dimensionless)'); LEGEND_ALGEBRAIC(:,38) = strpad('dutypostr in component mean_strain_of_strongly_bound_states (dimensionless)'); LEGEND_CONSTANTS(:,62) = strpad('dSL in component normalised_active_and_passive_force (micrometre_per_millisecond)'); LEGEND_CONSTANTS(:,68) = strpad('SSXBpostr in component normalised_active_and_passive_force (dimensionless)'); LEGEND_ALGEBRAIC(:,40) = strpad('SSXBprer in component normalised_active_and_passive_force (dimensionless)'); LEGEND_CONSTANTS(:,47) = strpad('kxb in component normalised_active_and_passive_force (millinewton_per_millimetre2)'); LEGEND_CONSTANTS(:,69) = strpad('Fnordv in component normalised_active_and_passive_force (millinewton_micrometre_per_millimetre2)'); LEGEND_ALGEBRAIC(:,6) = strpad('force in component normalised_active_and_passive_force (millinewton_micrometre_per_millimetre2)'); LEGEND_ALGEBRAIC(:,9) = strpad('active in component normalised_active_and_passive_force (unit_normalised_force)'); LEGEND_ALGEBRAIC(:,18) = strpad('ppforce in component normalised_active_and_passive_force (unit_normalised_force)'); LEGEND_ALGEBRAIC(:,12) = strpad('ppforce_t in component normalised_active_and_passive_force (unit_normalised_force)'); LEGEND_ALGEBRAIC(:,15) = strpad('ppforce_c in component normalised_active_and_passive_force (unit_normalised_force)'); LEGEND_CONSTANTS(:,70) = strpad('preload in component normalised_active_and_passive_force (unit_normalised_force)'); LEGEND_ALGEBRAIC(:,21) = strpad('afterload in component normalised_active_and_passive_force (unit_normalised_force)'); LEGEND_STATES(:,11) = strpad('intf in component normalised_active_and_passive_force (unit_normalised_force_millisecond)'); LEGEND_CONSTANTS(:,48) = strpad('SL_c in component normalised_active_and_passive_force (micrometre)'); LEGEND_CONSTANTS(:,49) = strpad('SLrest in component normalised_active_and_passive_force (micrometre)'); LEGEND_CONSTANTS(:,50) = strpad('SLset in component normalised_active_and_passive_force (micrometre)'); LEGEND_CONSTANTS(:,51) = strpad('PCon_t in component normalised_active_and_passive_force (unit_normalised_force)'); LEGEND_CONSTANTS(:,52) = strpad('PExp_t in component normalised_active_and_passive_force (per_micrometre)'); LEGEND_CONSTANTS(:,53) = strpad('PCon_c in component normalised_active_and_passive_force (unit_normalised_force)'); LEGEND_CONSTANTS(:,54) = strpad('PExp_c in component normalised_active_and_passive_force (per_micrometre)'); LEGEND_CONSTANTS(:,55) = strpad('KSE in component normalised_active_and_passive_force (unit_normalised_force_per_micrometre)'); LEGEND_CONSTANTS(:,67) = strpad('fxb in component normalised_active_and_passive_force (first_order_rate_constant)'); LEGEND_CONSTANTS(:,56) = strpad('SEon in component normalised_active_and_passive_force (dimensionless)'); LEGEND_ALGEBRAIC(:,41) = strpad('FrSBXB in component calculation_of_micromolar_per_millisecondes_of_Ca_for_apparent_Ca_binding (dimensionless)'); LEGEND_ALGEBRAIC(:,42) = strpad('dFrSBXB in component calculation_of_micromolar_per_millisecondes_of_Ca_for_apparent_Ca_binding (first_order_rate_constant)'); LEGEND_ALGEBRAIC(:,44) = strpad('dsovr_ze in component calculation_of_micromolar_per_millisecondes_of_Ca_for_apparent_Ca_binding (micrometre_per_millisecond)'); LEGEND_ALGEBRAIC(:,45) = strpad('dsovr_cle in component calculation_of_micromolar_per_millisecondes_of_Ca_for_apparent_Ca_binding (micrometre_per_millisecond)'); LEGEND_ALGEBRAIC(:,46) = strpad('dlen_sovr in component calculation_of_micromolar_per_millisecondes_of_Ca_for_apparent_Ca_binding (micrometre_per_millisecond)'); LEGEND_ALGEBRAIC(:,47) = strpad('dSOVFThick in component calculation_of_micromolar_per_millisecondes_of_Ca_for_apparent_Ca_binding (first_order_rate_constant)'); LEGEND_ALGEBRAIC(:,48) = strpad('dSOVFThin in component calculation_of_micromolar_per_millisecondes_of_Ca_for_apparent_Ca_binding (first_order_rate_constant)'); LEGEND_CONSTANTS(:,57) = strpad('kxb in component calculation_of_micromolar_per_millisecondes_of_Ca_for_apparent_Ca_binding (millinewton_per_millimetre2)'); LEGEND_ALGEBRAIC(:,49) = strpad('dforce in component calculation_of_micromolar_per_millisecondes_of_Ca_for_apparent_Ca_binding (millinewton_micrometre_per_millimetre2_per_millisecond)'); LEGEND_CONSTANTS(:,58) = strpad('Trop_conc in component calculation_of_micromolar_per_millisecondes_of_Ca_for_apparent_Ca_binding (micromolar)'); LEGEND_ALGEBRAIC(:,43) = strpad('TropTot in component calculation_of_micromolar_per_millisecondes_of_Ca_for_apparent_Ca_binding (micromolar)'); LEGEND_ALGEBRAIC(:,50) = strpad('dTropTot in component calculation_of_micromolar_per_millisecondes_of_Ca_for_apparent_Ca_binding (micromolar_per_millisecond)'); LEGEND_RATES(:,2) = strpad('d/dt TRPNCaL in component Ca_binding_to_troponin_to_thin_filament_regulation (dimensionless)'); LEGEND_RATES(:,3) = strpad('d/dt TRPNCaH in component Ca_binding_to_troponin_to_thin_filament_regulation (dimensionless)'); LEGEND_RATES(:,8) = strpad('d/dt N_NoXB in component regulation_and_crossbridge_cycling_state_equations (dimensionless)'); LEGEND_RATES(:,9) = strpad('d/dt P_NoXB in component regulation_and_crossbridge_cycling_state_equations (dimensionless)'); LEGEND_RATES(:,10) = strpad('d/dt P in component regulation_and_crossbridge_cycling_state_equations (dimensionless)'); LEGEND_RATES(:,7) = strpad('d/dt XBprer in component regulation_and_crossbridge_cycling_state_equations (dimensionless)'); LEGEND_RATES(:,6) = strpad('d/dt XBpostr in component regulation_and_crossbridge_cycling_state_equations (dimensionless)'); LEGEND_RATES(:,5) = strpad('d/dt xXBprer in component mean_strain_of_strongly_bound_states (micrometre)'); LEGEND_RATES(:,4) = strpad('d/dt xXBpostr in component mean_strain_of_strongly_bound_states (micrometre)'); LEGEND_RATES(:,1) = strpad('d/dt SL in component normalised_active_and_passive_force (micrometre)'); LEGEND_RATES(:,11) = strpad('d/dt intf in component normalised_active_and_passive_force (unit_normalised_force_millisecond)'); LEGEND_STATES = LEGEND_STATES'; LEGEND_ALGEBRAIC = LEGEND_ALGEBRAIC'; LEGEND_RATES = LEGEND_RATES'; LEGEND_CONSTANTS = LEGEND_CONSTANTS'; end function [STATES, CONSTANTS] = initConsts() VOI = 0; CONSTANTS = []; STATES = []; ALGEBRAIC = []; CONSTANTS(:,1) = 1.2; CONSTANTS(:,2) = 1.65; CONSTANTS(:,3) = 0.1; STATES(:,1) = 2.2; STATES(:,2) = 0.0147730085063734; STATES(:,3) = 0.13066096561522; CONSTANTS(:,4) = 1.5; CONSTANTS(:,5) = 1.3; CONSTANTS(:,6) = 1.6; CONSTANTS(:,7) = 1.6; CONSTANTS(:,8) = 0.05; CONSTANTS(:,9) = 0.25; CONSTANTS(:,10) = 0.025; CONSTANTS(:,11) = 0.5; CONSTANTS(:,12) = 15; CONSTANTS(:,13) = 0.5; CONSTANTS(:,14) = 0.05; CONSTANTS(:,15) = 1; CONSTANTS(:,16) = 7.15; CONSTANTS(:,17) = 1; CONSTANTS(:,18) = 2e-2; CONSTANTS(:,19) = 22; CONSTANTS(:,20) = 200.0; CONSTANTS(:,21) = 0.5; CONSTANTS(:,22) = 0.07; CONSTANTS(:,23) = 2; CONSTANTS(:,24) = 0.4; CONSTANTS(:,25) = 0.07; CONSTANTS(:,26) = 6; CONSTANTS(:,27) = 5; CONSTANTS(:,28) = 0; CONSTANTS(:,29) = 8; CONSTANTS(:,30) = 1; CONSTANTS(:,31) = 0.2; CONSTANTS(:,32) = 6.25; CONSTANTS(:,33) = 2.5; CONSTANTS(:,34) = 6.25; CONSTANTS(:,35) = 6.25; CONSTANTS(:,36) = 6.25; CONSTANTS(:,37) = 0.007; STATES(:,4) = 0.00700005394873882; STATES(:,5) = 3.41212828972468e-8; STATES(:,6) = 1.81017564383744e-6; STATES(:,7) = 3.0494964880038e-7; CONSTANTS(:,38) = 15400e6; CONSTANTS(:,39) = 4; CONSTANTS(:,40) = 2e3; CONSTANTS(:,41) = 5e3; STATES(:,8) = 0.999999959256274; STATES(:,9) = 4.07437173988636e-8; STATES(:,10) = 0.999997834540066; CONSTANTS(:,42) = 36; CONSTANTS(:,43) = 2e3; CONSTANTS(:,44) = 5e3; CONSTANTS(:,45) = 36.3; CONSTANTS(:,46) = 2; CONSTANTS(:,47) = 120; STATES(:,11) = -4.5113452510363e-6; CONSTANTS(:,48) = 2.25; CONSTANTS(:,49) = 1.85; CONSTANTS(:,50) = 1.9; CONSTANTS(:,51) = 0.002; CONSTANTS(:,52) = 10; CONSTANTS(:,53) = 0.02; CONSTANTS(:,54) = 70; CONSTANTS(:,55) = 1; CONSTANTS(:,56) = 1; CONSTANTS(:,57) = 120; CONSTANTS(:,58) = 70; CONSTANTS(:,59) = CONSTANTS(:,9).*CONSTANTS(:,15).*power(CONSTANTS(:,5), (CONSTANTS(:,19) - 37.0000)./10.0000); CONSTANTS(:,60) = CONSTANTS(:,10).*CONSTANTS(:,15).*power(CONSTANTS(:,5), (CONSTANTS(:,19) - 37.0000)./10.0000); CONSTANTS(:,61) = 1.00000e+07.*power(10.0000, - CONSTANTS(:,16)); CONSTANTS(:,62) = 0.00000; CONSTANTS(:,63) = 1.00000e+07.*power(10.0000, -7.15000); CONSTANTS(:,70) = CONSTANTS(:,62); CONSTANTS(:,64) = ((power(CONSTANTS(:,18), CONSTANTS(:,17))+power(CONSTANTS(:,63), CONSTANTS(:,17)))./(power(CONSTANTS(:,18), CONSTANTS(:,17))+power(CONSTANTS(:,61), CONSTANTS(:,17)))).*( CONSTANTS(:,8).*power(CONSTANTS(:,4), (CONSTANTS(:,19) - 37.0000)./10.0000)); CONSTANTS(:,65) = CONSTANTS(:,21).*CONSTANTS(:,31).*power(CONSTANTS(:,32), (CONSTANTS(:,19) - 37.0000)./10.0000); CONSTANTS(:,66) = CONSTANTS(:,65); CONSTANTS(:,67) = ( CONSTANTS(:,39).*CONSTANTS(:,21).*CONSTANTS(:,23).*(CONSTANTS(:,25)./CONSTANTS(:,41)))./( (CONSTANTS(:,22)./CONSTANTS(:,40)).*(CONSTANTS(:,24)./CONSTANTS(:,63)).*CONSTANTS(:,38)); CONSTANTS(:,68) = ( CONSTANTS(:,21).*CONSTANTS(:,23)+ CONSTANTS(:,67).*CONSTANTS(:,22)+ CONSTANTS(:,67).*CONSTANTS(:,24))./( CONSTANTS(:,23).*CONSTANTS(:,25)+ CONSTANTS(:,24).*CONSTANTS(:,22)+ CONSTANTS(:,25).*CONSTANTS(:,22)+ CONSTANTS(:,67).*CONSTANTS(:,24)+ CONSTANTS(:,25).*CONSTANTS(:,21)+ CONSTANTS(:,24).*CONSTANTS(:,21)+ CONSTANTS(:,67).*CONSTANTS(:,22)+ CONSTANTS(:,21).*CONSTANTS(:,23)+ CONSTANTS(:,67).*CONSTANTS(:,24)); CONSTANTS(:,69) = CONSTANTS(:,47).*CONSTANTS(:,37).*CONSTANTS(:,68); CONSTANTS(:,70) = (abs(CONSTANTS(:,50) - CONSTANTS(:,49))./(CONSTANTS(:,50) - CONSTANTS(:,49))).*CONSTANTS(:,51).*(exp( CONSTANTS(:,52).*abs(CONSTANTS(:,50) - CONSTANTS(:,49))) - 1.00000); 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(:,1) = CONSTANTS(:,70); ALGEBRAIC(:,8) = CONSTANTS(:,64).*CONSTANTS(:,20).*(1.00000 - STATES(:,2)) - CONSTANTS(:,59).*STATES(:,2); RATES(:,2) = ALGEBRAIC(:,8); ALGEBRAIC(:,11) = CONSTANTS(:,64).*CONSTANTS(:,20).*(1.00000 - STATES(:,3)) - CONSTANTS(:,60).*STATES(:,3); RATES(:,3) = ALGEBRAIC(:,11); ALGEBRAIC(:,1) = piecewise({CONSTANTS(:,2)./2.00000CONSTANTS(:,3)./2.00000, STATES(:,1)./2.00000 - (STATES(:,1) - CONSTANTS(:,1)) }, CONSTANTS(:,3)./2.00000); ALGEBRAIC(:,3) = ALGEBRAIC(:,1) - ALGEBRAIC(:,2); ALGEBRAIC(:,5) = ALGEBRAIC(:,3)./CONSTANTS(:,1); ALGEBRAIC(:,7) = (1.00000 - ALGEBRAIC(:,5)).*STATES(:,2)+ ALGEBRAIC(:,5).*STATES(:,3); ALGEBRAIC(:,10) = power(abs(1.00000./(1.00000+power(CONSTANTS(:,11)./ALGEBRAIC(:,7), CONSTANTS(:,12)))), 1.0 ./ 2); ALGEBRAIC(:,13) = CONSTANTS(:,13).*ALGEBRAIC(:,10).*power(CONSTANTS(:,6), (CONSTANTS(:,19) - 37.0000)./10.0000); ALGEBRAIC(:,16) = piecewise({1.00000./ALGEBRAIC(:,10)<100.000, 1.00000./ALGEBRAIC(:,10) }, 100.000); ALGEBRAIC(:,19) = CONSTANTS(:,14).*ALGEBRAIC(:,16).*power(CONSTANTS(:,7), (CONSTANTS(:,19) - 37.0000)./10.0000); RATES(:,8) = ALGEBRAIC(:,19).*STATES(:,9) - ALGEBRAIC(:,13).*STATES(:,8); RATES(:,9) = ALGEBRAIC(:,13).*STATES(:,8) - ALGEBRAIC(:,19).*STATES(:,9); ALGEBRAIC(:,4) = ( ALGEBRAIC(:,3).*2.00000)./(CONSTANTS(:,2) - CONSTANTS(:,3)); ALGEBRAIC(:,6) = CONSTANTS(:,47).*ALGEBRAIC(:,4).*( STATES(:,4).*STATES(:,6)+ STATES(:,5).*STATES(:,7)); ALGEBRAIC(:,9) = ( 1.00000.*ALGEBRAIC(:,6))./CONSTANTS(:,69); ALGEBRAIC(:,12) = ((STATES(:,1) - CONSTANTS(:,49))./abs(STATES(:,1) - CONSTANTS(:,49))).*CONSTANTS(:,51).*(exp( CONSTANTS(:,52).*abs(STATES(:,1) - CONSTANTS(:,49))) - 1.00000); ALGEBRAIC(:,15) = piecewise({STATES(:,1)>CONSTANTS(:,48), CONSTANTS(:,53).*(exp( CONSTANTS(:,54).*abs(STATES(:,1) - CONSTANTS(:,48))) - 1.00000) }, 0.00000); ALGEBRAIC(:,18) = ALGEBRAIC(:,12)+ALGEBRAIC(:,15); ALGEBRAIC(:,21) = piecewise({CONSTANTS(:,56)==1.00000, CONSTANTS(:,55).*(CONSTANTS(:,50) - STATES(:,1)) }, 0.00000); RATES(:,11) = (CONSTANTS(:,70)+ALGEBRAIC(:,21)) - (ALGEBRAIC(:,18)+ALGEBRAIC(:,9)); ALGEBRAIC(:,23) = 1.00000 - (STATES(:,10)+STATES(:,7)+STATES(:,6)); RATES(:,10) = ALGEBRAIC(:,13).*ALGEBRAIC(:,23) - (ALGEBRAIC(:,19)+CONSTANTS(:,66)).*STATES(:,10); ALGEBRAIC(:,20) = exp( ( - STATES(:,5)./abs(STATES(:,5))).*CONSTANTS(:,27).*power(STATES(:,5)./CONSTANTS(:,37), 2.00000)); ALGEBRAIC(:,24) = CONSTANTS(:,23).*ALGEBRAIC(:,20).*CONSTANTS(:,31).*power(CONSTANTS(:,34), (CONSTANTS(:,19) - 37.0000)./10.0000); ALGEBRAIC(:,28) = ALGEBRAIC(:,24); ALGEBRAIC(:,14) = 1.00000+ (1.00000 - ALGEBRAIC(:,4)).*CONSTANTS(:,26); ALGEBRAIC(:,17) = CONSTANTS(:,22).*ALGEBRAIC(:,14).*CONSTANTS(:,31).*power(CONSTANTS(:,33), (CONSTANTS(:,19) - 37.0000)./10.0000); ALGEBRAIC(:,30) = CONSTANTS(:,43).*(ALGEBRAIC(:,17)./CONSTANTS(:,40)); ALGEBRAIC(:,22) = exp( ((STATES(:,4) - CONSTANTS(:,37))./abs(STATES(:,4) - CONSTANTS(:,37))).*CONSTANTS(:,28).*power((STATES(:,4) - CONSTANTS(:,37))./CONSTANTS(:,37), 2.00000)); ALGEBRAIC(:,25) = CONSTANTS(:,24).*ALGEBRAIC(:,22).*CONSTANTS(:,31).*power(CONSTANTS(:,35), (CONSTANTS(:,19) - 37.0000)./10.0000); ALGEBRAIC(:,31) = CONSTANTS(:,61).*(ALGEBRAIC(:,25)./CONSTANTS(:,63)).*((CONSTANTS(:,39)+CONSTANTS(:,42))./CONSTANTS(:,42)).*(CONSTANTS(:,45)./(CONSTANTS(:,39)+CONSTANTS(:,45))); ALGEBRAIC(:,32) = ( CONSTANTS(:,66).*STATES(:,10)+ ALGEBRAIC(:,31).*STATES(:,6)) - (ALGEBRAIC(:,30)+ALGEBRAIC(:,28)).*STATES(:,7); RATES(:,7) = ALGEBRAIC(:,32); ALGEBRAIC(:,26) = piecewise({STATES(:,4)CONSTANTS(:,3)./2.00000, STATES(:,1)./2.00000 - (STATES(:,1) - CONSTANTS(:,1)) }, CONSTANTS(:,3)./2.00000); ALGEBRAIC(:,3) = ALGEBRAIC(:,1) - ALGEBRAIC(:,2); ALGEBRAIC(:,5) = ALGEBRAIC(:,3)./CONSTANTS(:,1); ALGEBRAIC(:,7) = (1.00000 - ALGEBRAIC(:,5)).*STATES(:,2)+ ALGEBRAIC(:,5).*STATES(:,3); ALGEBRAIC(:,10) = power(abs(1.00000./(1.00000+power(CONSTANTS(:,11)./ALGEBRAIC(:,7), CONSTANTS(:,12)))), 1.0 ./ 2); ALGEBRAIC(:,13) = CONSTANTS(:,13).*ALGEBRAIC(:,10).*power(CONSTANTS(:,6), (CONSTANTS(:,19) - 37.0000)./10.0000); ALGEBRAIC(:,16) = piecewise({1.00000./ALGEBRAIC(:,10)<100.000, 1.00000./ALGEBRAIC(:,10) }, 100.000); ALGEBRAIC(:,19) = CONSTANTS(:,14).*ALGEBRAIC(:,16).*power(CONSTANTS(:,7), (CONSTANTS(:,19) - 37.0000)./10.0000); ALGEBRAIC(:,4) = ( ALGEBRAIC(:,3).*2.00000)./(CONSTANTS(:,2) - CONSTANTS(:,3)); ALGEBRAIC(:,6) = CONSTANTS(:,47).*ALGEBRAIC(:,4).*( STATES(:,4).*STATES(:,6)+ STATES(:,5).*STATES(:,7)); ALGEBRAIC(:,9) = ( 1.00000.*ALGEBRAIC(:,6))./CONSTANTS(:,69); ALGEBRAIC(:,12) = ((STATES(:,1) - CONSTANTS(:,49))./abs(STATES(:,1) - CONSTANTS(:,49))).*CONSTANTS(:,51).*(exp( CONSTANTS(:,52).*abs(STATES(:,1) - CONSTANTS(:,49))) - 1.00000); ALGEBRAIC(:,15) = piecewise({STATES(:,1)>CONSTANTS(:,48), CONSTANTS(:,53).*(exp( CONSTANTS(:,54).*abs(STATES(:,1) - CONSTANTS(:,48))) - 1.00000) }, 0.00000); ALGEBRAIC(:,18) = ALGEBRAIC(:,12)+ALGEBRAIC(:,15); ALGEBRAIC(:,21) = piecewise({CONSTANTS(:,56)==1.00000, CONSTANTS(:,55).*(CONSTANTS(:,50) - STATES(:,1)) }, 0.00000); ALGEBRAIC(:,23) = 1.00000 - (STATES(:,10)+STATES(:,7)+STATES(:,6)); ALGEBRAIC(:,20) = exp( ( - STATES(:,5)./abs(STATES(:,5))).*CONSTANTS(:,27).*power(STATES(:,5)./CONSTANTS(:,37), 2.00000)); ALGEBRAIC(:,24) = CONSTANTS(:,23).*ALGEBRAIC(:,20).*CONSTANTS(:,31).*power(CONSTANTS(:,34), (CONSTANTS(:,19) - 37.0000)./10.0000); ALGEBRAIC(:,28) = ALGEBRAIC(:,24); ALGEBRAIC(:,14) = 1.00000+ (1.00000 - ALGEBRAIC(:,4)).*CONSTANTS(:,26); ALGEBRAIC(:,17) = CONSTANTS(:,22).*ALGEBRAIC(:,14).*CONSTANTS(:,31).*power(CONSTANTS(:,33), (CONSTANTS(:,19) - 37.0000)./10.0000); ALGEBRAIC(:,30) = CONSTANTS(:,43).*(ALGEBRAIC(:,17)./CONSTANTS(:,40)); ALGEBRAIC(:,22) = exp( ((STATES(:,4) - CONSTANTS(:,37))./abs(STATES(:,4) - CONSTANTS(:,37))).*CONSTANTS(:,28).*power((STATES(:,4) - CONSTANTS(:,37))./CONSTANTS(:,37), 2.00000)); ALGEBRAIC(:,25) = CONSTANTS(:,24).*ALGEBRAIC(:,22).*CONSTANTS(:,31).*power(CONSTANTS(:,35), (CONSTANTS(:,19) - 37.0000)./10.0000); ALGEBRAIC(:,31) = CONSTANTS(:,61).*(ALGEBRAIC(:,25)./CONSTANTS(:,63)).*((CONSTANTS(:,39)+CONSTANTS(:,42))./CONSTANTS(:,42)).*(CONSTANTS(:,45)./(CONSTANTS(:,39)+CONSTANTS(:,45))); ALGEBRAIC(:,32) = ( CONSTANTS(:,66).*STATES(:,10)+ ALGEBRAIC(:,31).*STATES(:,6)) - (ALGEBRAIC(:,30)+ALGEBRAIC(:,28)).*STATES(:,7); ALGEBRAIC(:,26) = piecewise({STATES(:,4)CONSTANTS(:,3), - 0.500000.*CONSTANTS(:,62) }, 0.00000); ALGEBRAIC(:,46) = ALGEBRAIC(:,44) - ALGEBRAIC(:,45); ALGEBRAIC(:,47) = ( 2.00000.*ALGEBRAIC(:,46))./(CONSTANTS(:,2) - CONSTANTS(:,3)); ALGEBRAIC(:,48) = ALGEBRAIC(:,46)./CONSTANTS(:,1); ALGEBRAIC(:,49) = CONSTANTS(:,57).*ALGEBRAIC(:,47).*( STATES(:,4).*STATES(:,6)+ STATES(:,5).*STATES(:,7))+ CONSTANTS(:,57).*ALGEBRAIC(:,4).*( ALGEBRAIC(:,39).*STATES(:,6)+ STATES(:,4).*ALGEBRAIC(:,35)+ ALGEBRAIC(:,37).*STATES(:,7)+ STATES(:,5).*ALGEBRAIC(:,32)); ALGEBRAIC(:,50) = CONSTANTS(:,58).*( - ALGEBRAIC(:,48).*STATES(:,2)+ (1.00000 - ALGEBRAIC(:,5)).*ALGEBRAIC(:,8)+ ALGEBRAIC(:,48).*( ALGEBRAIC(:,41).*STATES(:,3)+ (1.00000 - ALGEBRAIC(:,41)).*STATES(:,2))+ ALGEBRAIC(:,5).*(( ALGEBRAIC(:,42).*STATES(:,3)+ ALGEBRAIC(:,41).*ALGEBRAIC(:,11)+ (1.00000 - ALGEBRAIC(:,41)).*ALGEBRAIC(:,8)) - ALGEBRAIC(:,42).*STATES(:,2))); 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