Generated Code
The following is matlab code generated by the CellML API from this CellML file. (Back to language selection)
The raw code is available.
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 =42; end % There are a total of 15 entries in each of the rate and state variable arrays. % There are a total of 45 entries in the constant variable array. % function [VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel() % Create ALGEBRAIC of correct size global algebraicVariableCount; algebraicVariableCount = getAlgebraicVariableCount(); % Initialise constants and state variables [INIT_STATES, CONSTANTS] = initConsts; % Set timespan to solve over tspan = [0, 10]; % Set numerical accuracy options for ODE solver options = odeset('RelTol', 1e-06, 'AbsTol', 1e-06, 'MaxStep', 1); % Solve model with ODE solver [VOI, STATES] = ode15s(@(VOI, STATES)computeRates(VOI, STATES, CONSTANTS), tspan, INIT_STATES, options); % Compute algebraic variables [RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS); ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI); % Plot state variables against variable of integration [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends(); figure(); plot(VOI, STATES); xlabel(LEGEND_VOI); l = legend(LEGEND_STATES); set(l,'Interpreter','none'); end function [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends() LEGEND_STATES = ''; LEGEND_ALGEBRAIC = ''; LEGEND_VOI = ''; LEGEND_CONSTANTS = ''; LEGEND_VOI = strpad('time in component environment (second)'); LEGEND_STATES(:,1) = strpad('V in component membrane (millivolt)'); LEGEND_CONSTANTS(:,1) = strpad('R in component membrane (joule_per_kilomole_kelvin)'); LEGEND_CONSTANTS(:,2) = strpad('T in component membrane (kelvin)'); LEGEND_CONSTANTS(:,3) = strpad('F in component membrane (coulomb_per_mole)'); LEGEND_CONSTANTS(:,4) = strpad('C in component membrane (microF)'); LEGEND_CONSTANTS(:,40) = strpad('RTONF in component membrane (millivolt)'); LEGEND_ALGEBRAIC(:,24) = strpad('i_f in component hyperpolarising_activated_current (nanoA)'); LEGEND_ALGEBRAIC(:,26) = strpad('i_K in component time_dependent_potassium_current (nanoA)'); LEGEND_ALGEBRAIC(:,27) = strpad('i_K1 in component time_independent_potassium_current (nanoA)'); LEGEND_ALGEBRAIC(:,28) = strpad('i_Na_b in component sodium_background_current (nanoA)'); LEGEND_ALGEBRAIC(:,30) = strpad('i_Ca_b in component calcium_background_current (nanoA)'); LEGEND_ALGEBRAIC(:,31) = strpad('i_p in component sodium_potassium_pump (nanoA)'); LEGEND_ALGEBRAIC(:,32) = strpad('i_NaCa in component Na_Ca_exchanger (nanoA)'); LEGEND_ALGEBRAIC(:,34) = strpad('i_Na in component fast_sodium_current (nanoA)'); LEGEND_ALGEBRAIC(:,41) = strpad('i_Caf in component second_inward_current (nanoA)'); LEGEND_ALGEBRAIC(:,21) = strpad('i_fNa in component hyperpolarising_activated_current (nanoA)'); LEGEND_ALGEBRAIC(:,1) = strpad('E_Na in component hyperpolarising_activated_current (millivolt)'); LEGEND_ALGEBRAIC(:,10) = strpad('E_K in component hyperpolarising_activated_current (millivolt)'); LEGEND_ALGEBRAIC(:,23) = strpad('i_fK in component hyperpolarising_activated_current (nanoA)'); LEGEND_CONSTANTS(:,5) = strpad('g_f_Na in component hyperpolarising_activated_current (microS)'); LEGEND_CONSTANTS(:,6) = strpad('g_f_K in component hyperpolarising_activated_current (microS)'); LEGEND_CONSTANTS(:,7) = strpad('Km_f in component hyperpolarising_activated_current (millimolar)'); LEGEND_STATES(:,2) = strpad('Kc in component extracellular_potassium_concentration (millimolar)'); LEGEND_STATES(:,3) = strpad('Ki in component intracellular_potassium_concentration (millimolar)'); LEGEND_STATES(:,4) = strpad('Nai in component intracellular_sodium_concentration (millimolar)'); LEGEND_CONSTANTS(:,8) = strpad('Nao in component extracellular_sodium_concentration (millimolar)'); LEGEND_STATES(:,5) = strpad('y in component hyperpolarising_activated_current_y_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,2) = strpad('alpha_y in component hyperpolarising_activated_current_y_gate (per_second)'); LEGEND_ALGEBRAIC(:,11) = strpad('beta_y in component hyperpolarising_activated_current_y_gate (per_second)'); LEGEND_ALGEBRAIC(:,25) = strpad('I_K in component time_dependent_potassium_current (nanoA)'); LEGEND_CONSTANTS(:,9) = strpad('i_K_max in component time_dependent_potassium_current (nanoA)'); LEGEND_STATES(:,6) = strpad('x in component time_dependent_potassium_current_x_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,3) = strpad('alpha_x in component time_dependent_potassium_current_x_gate (per_second)'); LEGEND_ALGEBRAIC(:,12) = strpad('beta_x in component time_dependent_potassium_current_x_gate (per_second)'); LEGEND_CONSTANTS(:,10) = strpad('g_K1 in component time_independent_potassium_current (microS)'); LEGEND_CONSTANTS(:,11) = strpad('Km_K1 in component time_independent_potassium_current (millimolar)'); LEGEND_CONSTANTS(:,12) = strpad('g_Nab in component sodium_background_current (microS)'); LEGEND_ALGEBRAIC(:,29) = strpad('E_Ca in component calcium_background_current (millivolt)'); LEGEND_CONSTANTS(:,13) = strpad('g_Cab in component calcium_background_current (microS)'); LEGEND_STATES(:,7) = strpad('Cai in component intracellular_calcium_concentration (millimolar)'); LEGEND_CONSTANTS(:,14) = strpad('Cao in component extracellular_calcium_concentration (millimolar)'); LEGEND_CONSTANTS(:,15) = strpad('I_p in component sodium_potassium_pump (nanoA)'); LEGEND_CONSTANTS(:,16) = strpad('K_mK in component sodium_potassium_pump (millimolar)'); LEGEND_CONSTANTS(:,17) = strpad('K_mNa in component sodium_potassium_pump (millimolar)'); LEGEND_CONSTANTS(:,18) = strpad('n_NaCa in component Na_Ca_exchanger (dimensionless)'); LEGEND_CONSTANTS(:,19) = strpad('K_NaCa in component Na_Ca_exchanger (nanoA)'); LEGEND_CONSTANTS(:,20) = strpad('d_NaCa in component Na_Ca_exchanger (dimensionless)'); LEGEND_CONSTANTS(:,21) = strpad('gamma in component Na_Ca_exchanger (dimensionless)'); LEGEND_CONSTANTS(:,22) = strpad('g_Na in component fast_sodium_current (microS)'); LEGEND_ALGEBRAIC(:,33) = strpad('E_mh in component fast_sodium_current (millivolt)'); LEGEND_STATES(:,8) = strpad('m in component fast_sodium_current_m_gate (dimensionless)'); LEGEND_STATES(:,9) = strpad('h in component fast_sodium_current_h_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,13) = strpad('alpha_m in component fast_sodium_current_m_gate (per_second)'); LEGEND_ALGEBRAIC(:,18) = strpad('beta_m in component fast_sodium_current_m_gate (per_second)'); LEGEND_CONSTANTS(:,23) = strpad('delta_m in component fast_sodium_current_m_gate (millivolt)'); LEGEND_ALGEBRAIC(:,4) = strpad('E0_m in component fast_sodium_current_m_gate (millivolt)'); LEGEND_ALGEBRAIC(:,5) = strpad('alpha_h in component fast_sodium_current_h_gate (per_second)'); LEGEND_ALGEBRAIC(:,14) = strpad('beta_h in component fast_sodium_current_h_gate (per_second)'); LEGEND_ALGEBRAIC(:,35) = strpad('i_siCa in component second_inward_current (nanoA)'); LEGEND_ALGEBRAIC(:,36) = strpad('i_siK in component second_inward_current (nanoA)'); LEGEND_ALGEBRAIC(:,38) = strpad('i_siNa in component second_inward_current (nanoA)'); LEGEND_CONSTANTS(:,24) = strpad('P_si in component second_inward_current (nanoA_per_millimolar)'); LEGEND_STATES(:,10) = strpad('d in component second_inward_current_d_gate (dimensionless)'); LEGEND_STATES(:,11) = strpad('f in component second_inward_current_f_gate (dimensionless)'); LEGEND_STATES(:,12) = strpad('f2 in component second_inward_current_f2_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,15) = strpad('alpha_d in component second_inward_current_d_gate (per_second)'); LEGEND_ALGEBRAIC(:,19) = strpad('beta_d in component second_inward_current_d_gate (per_second)'); LEGEND_CONSTANTS(:,25) = strpad('delta_d in component second_inward_current_d_gate (millivolt)'); LEGEND_ALGEBRAIC(:,6) = strpad('E0_d in component second_inward_current_d_gate (millivolt)'); LEGEND_ALGEBRAIC(:,16) = strpad('alpha_f in component second_inward_current_f_gate (per_second)'); LEGEND_ALGEBRAIC(:,20) = strpad('beta_f in component second_inward_current_f_gate (per_second)'); LEGEND_CONSTANTS(:,26) = strpad('delta_f in component second_inward_current_f_gate (millivolt)'); LEGEND_ALGEBRAIC(:,7) = strpad('E0_f in component second_inward_current_f_gate (millivolt)'); LEGEND_CONSTANTS(:,27) = strpad('alpha_f2 in component second_inward_current_f2_gate (per_second)'); LEGEND_ALGEBRAIC(:,8) = strpad('beta_f2 in component second_inward_current_f2_gate (per_second)'); LEGEND_CONSTANTS(:,28) = strpad('K_mf2 in component second_inward_current_f2_gate (millimolar)'); LEGEND_CONSTANTS(:,29) = strpad('radius in component intracellular_sodium_concentration (millimetre)'); LEGEND_CONSTANTS(:,30) = strpad('length in component intracellular_sodium_concentration (millimetre)'); LEGEND_CONSTANTS(:,31) = strpad('V_e_ratio in component intracellular_sodium_concentration (dimensionless)'); LEGEND_CONSTANTS(:,41) = strpad('V_Cell in component intracellular_sodium_concentration (millimetre3)'); LEGEND_CONSTANTS(:,42) = strpad('Vi in component intracellular_sodium_concentration (millimetre3)'); LEGEND_CONSTANTS(:,44) = strpad('V_up in component intracellular_calcium_concentration (millimetre3)'); LEGEND_CONSTANTS(:,45) = strpad('V_rel in component intracellular_calcium_concentration (millimetre3)'); LEGEND_ALGEBRAIC(:,37) = strpad('i_up in component intracellular_calcium_concentration (nanoA)'); LEGEND_ALGEBRAIC(:,39) = strpad('i_tr in component intracellular_calcium_concentration (nanoA)'); LEGEND_ALGEBRAIC(:,42) = strpad('i_rel in component intracellular_calcium_concentration (nanoA)'); LEGEND_STATES(:,13) = strpad('Ca_up in component intracellular_calcium_concentration (millimolar)'); LEGEND_STATES(:,14) = strpad('Ca_rel in component intracellular_calcium_concentration (millimolar)'); LEGEND_CONSTANTS(:,32) = strpad('Ca_up_max in component intracellular_calcium_concentration (millimolar)'); LEGEND_CONSTANTS(:,33) = strpad('K_mCa in component intracellular_calcium_concentration (millimolar)'); LEGEND_STATES(:,15) = strpad('p in component intracellular_calcium_concentration (dimensionless)'); LEGEND_ALGEBRAIC(:,17) = strpad('alpha_p in component intracellular_calcium_concentration (per_second)'); LEGEND_ALGEBRAIC(:,22) = strpad('beta_p in component intracellular_calcium_concentration (per_second)'); LEGEND_ALGEBRAIC(:,9) = strpad('E0_p in component intracellular_calcium_concentration (millivolt)'); LEGEND_CONSTANTS(:,34) = strpad('tau_up in component intracellular_calcium_concentration (second)'); LEGEND_CONSTANTS(:,35) = strpad('tau_rep in component intracellular_calcium_concentration (second)'); LEGEND_CONSTANTS(:,36) = strpad('tau_rel in component intracellular_calcium_concentration (second)'); LEGEND_CONSTANTS(:,37) = strpad('rCa in component intracellular_calcium_concentration (dimensionless)'); LEGEND_CONSTANTS(:,43) = strpad('V_e in component extracellular_potassium_concentration (millimetre3)'); LEGEND_CONSTANTS(:,38) = strpad('Kb in component extracellular_potassium_concentration (millimolar)'); LEGEND_ALGEBRAIC(:,40) = strpad('i_mK in component extracellular_potassium_concentration (nanoA)'); LEGEND_CONSTANTS(:,39) = strpad('pf in component extracellular_potassium_concentration (per_second)'); LEGEND_RATES(:,1) = strpad('d/dt V in component membrane (millivolt)'); LEGEND_RATES(:,5) = strpad('d/dt y in component hyperpolarising_activated_current_y_gate (dimensionless)'); LEGEND_RATES(:,6) = strpad('d/dt x in component time_dependent_potassium_current_x_gate (dimensionless)'); LEGEND_RATES(:,8) = strpad('d/dt m in component fast_sodium_current_m_gate (dimensionless)'); LEGEND_RATES(:,9) = strpad('d/dt h in component fast_sodium_current_h_gate (dimensionless)'); LEGEND_RATES(:,10) = strpad('d/dt d in component second_inward_current_d_gate (dimensionless)'); LEGEND_RATES(:,11) = strpad('d/dt f in component second_inward_current_f_gate (dimensionless)'); LEGEND_RATES(:,12) = strpad('d/dt f2 in component second_inward_current_f2_gate (dimensionless)'); LEGEND_RATES(:,4) = strpad('d/dt Nai in component intracellular_sodium_concentration (millimolar)'); LEGEND_RATES(:,15) = strpad('d/dt p in component intracellular_calcium_concentration (dimensionless)'); LEGEND_RATES(:,13) = strpad('d/dt Ca_up in component intracellular_calcium_concentration (millimolar)'); LEGEND_RATES(:,14) = strpad('d/dt Ca_rel in component intracellular_calcium_concentration (millimolar)'); LEGEND_RATES(:,7) = strpad('d/dt Cai in component intracellular_calcium_concentration (millimolar)'); LEGEND_RATES(:,2) = strpad('d/dt Kc in component extracellular_potassium_concentration (millimolar)'); LEGEND_RATES(:,3) = strpad('d/dt Ki in component intracellular_potassium_concentration (millimolar)'); LEGEND_STATES = LEGEND_STATES'; LEGEND_ALGEBRAIC = LEGEND_ALGEBRAIC'; LEGEND_RATES = LEGEND_RATES'; LEGEND_CONSTANTS = LEGEND_CONSTANTS'; end function [STATES, CONSTANTS] = initConsts() VOI = 0; CONSTANTS = []; STATES = []; ALGEBRAIC = []; STATES(:,1) = -50; CONSTANTS(:,1) = 8314.472; CONSTANTS(:,2) = 310; CONSTANTS(:,3) = 96485.3415; CONSTANTS(:,4) = 0.000027; CONSTANTS(:,5) = 0.06; CONSTANTS(:,6) = 0.06; CONSTANTS(:,7) = 45; STATES(:,2) = 3; STATES(:,3) = 140; STATES(:,4) = 7.5; CONSTANTS(:,8) = 140; STATES(:,5) = 0.0822; CONSTANTS(:,9) = 0.8; STATES(:,6) = 0.225; CONSTANTS(:,10) = 0.0075; CONSTANTS(:,11) = 10; CONSTANTS(:,12) = 0.0007; CONSTANTS(:,13) = 0.0001; STATES(:,7) = 5.6e-5; CONSTANTS(:,14) = 2; CONSTANTS(:,15) = 0.5; CONSTANTS(:,16) = 1; CONSTANTS(:,17) = 40; CONSTANTS(:,18) = 3; CONSTANTS(:,19) = 0.00002; CONSTANTS(:,20) = 0.0001; CONSTANTS(:,21) = 0.5; CONSTANTS(:,22) = 0.0125; STATES(:,8) = 0.0365; STATES(:,9) = 0.1969; CONSTANTS(:,23) = 1e-5; CONSTANTS(:,24) = 0.12; STATES(:,10) = 0; STATES(:,11) = 0.9997; STATES(:,12) = 0.5765; CONSTANTS(:,25) = 0.0001; CONSTANTS(:,26) = 0.0001; CONSTANTS(:,27) = 10; CONSTANTS(:,28) = 0.0005; CONSTANTS(:,29) = 0.008; CONSTANTS(:,30) = 0.11; CONSTANTS(:,31) = 0.1; STATES(:,13) = 1.98; STATES(:,14) = 0.55; CONSTANTS(:,32) = 5; CONSTANTS(:,33) = 0.002; STATES(:,15) = 0.237; CONSTANTS(:,34) = 0.005; CONSTANTS(:,35) = 0.2; CONSTANTS(:,36) = 0.01; CONSTANTS(:,37) = 2; CONSTANTS(:,38) = 3; CONSTANTS(:,39) = 1; CONSTANTS(:,40) = ( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3); CONSTANTS(:,41) = 3.14159.*power(CONSTANTS(:,29), 2.00000).*CONSTANTS(:,30); CONSTANTS(:,42) = CONSTANTS(:,41).*(1.00000 - CONSTANTS(:,31)); CONSTANTS(:,43) = CONSTANTS(:,41).*CONSTANTS(:,31); CONSTANTS(:,44) = CONSTANTS(:,42).*0.0500000; CONSTANTS(:,45) = CONSTANTS(:,42).*0.0200000; 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(:,8) = ( STATES(:,7).*CONSTANTS(:,27))./CONSTANTS(:,28); RATES(:,12) = CONSTANTS(:,27) - STATES(:,12).*(CONSTANTS(:,27)+ALGEBRAIC(:,8)); ALGEBRAIC(:,2) = 0.0200000.*exp( - STATES(:,1)./18.0000); ALGEBRAIC(:,11) = 19.5000.*exp(STATES(:,1)./19.0000); RATES(:,5) = ALGEBRAIC(:,2).*(1.00000 - STATES(:,5)) - ALGEBRAIC(:,11).*STATES(:,5); ALGEBRAIC(:,3) = 2.10000.*exp(STATES(:,1)./28.0000); ALGEBRAIC(:,12) = 0.960000.*exp( - STATES(:,1)./24.0000); RATES(:,6) = ALGEBRAIC(:,3).*(1.00000 - STATES(:,6)) - ALGEBRAIC(:,12).*STATES(:,6); ALGEBRAIC(:,5) = 20.0000.*exp( - 0.125000.*(STATES(:,1)+75.0000)); ALGEBRAIC(:,14) = 2000.00./( 320.000.*exp( - 0.100000.*(STATES(:,1)+75.0000))+1.00000); RATES(:,9) = ALGEBRAIC(:,5).*(1.00000 - STATES(:,9)) - ALGEBRAIC(:,14).*STATES(:,9); ALGEBRAIC(:,4) = STATES(:,1)+41.0000; ALGEBRAIC(:,13) = piecewise({abs(ALGEBRAIC(:,4))<CONSTANTS(:,23), 2000.00 }, ( 200.000.*ALGEBRAIC(:,4))./(1.00000 - exp( - 0.100000.*ALGEBRAIC(:,4)))); ALGEBRAIC(:,18) = 8000.00.*exp( - 0.0560000.*(STATES(:,1)+66.0000)); RATES(:,8) = ALGEBRAIC(:,13).*(1.00000 - STATES(:,8)) - ALGEBRAIC(:,18).*STATES(:,8); ALGEBRAIC(:,6) = (STATES(:,1)+24.0000) - 5.00000; ALGEBRAIC(:,15) = piecewise({abs(ALGEBRAIC(:,6))<CONSTANTS(:,25), 120.000 }, ( 30.0000.*ALGEBRAIC(:,6))./(1.00000 - exp(( - 1.00000.*ALGEBRAIC(:,6))./4.00000))); ALGEBRAIC(:,19) = piecewise({abs(ALGEBRAIC(:,6))<CONSTANTS(:,25), 120.000 }, ( 12.0000.*ALGEBRAIC(:,6))./(exp(ALGEBRAIC(:,6)./10.0000) - 1.00000)); RATES(:,10) = ALGEBRAIC(:,15).*(1.00000 - STATES(:,10)) - ALGEBRAIC(:,19).*STATES(:,10); ALGEBRAIC(:,7) = STATES(:,1)+34.0000; ALGEBRAIC(:,16) = piecewise({abs(ALGEBRAIC(:,7))<CONSTANTS(:,26), 25.0000 }, ( 6.25000.*ALGEBRAIC(:,7))./(exp(ALGEBRAIC(:,7)./4.00000) - 1.00000)); ALGEBRAIC(:,20) = 50.0000./(1.00000+exp(( - 1.00000.*(STATES(:,1)+34.0000))./4.00000)); RATES(:,11) = ALGEBRAIC(:,16).*(1.00000 - STATES(:,11)) - ALGEBRAIC(:,20).*STATES(:,11); ALGEBRAIC(:,9) = (STATES(:,1)+34.0000) - - 30.0000; ALGEBRAIC(:,17) = ( 0.625000.*ALGEBRAIC(:,9))./(exp(ALGEBRAIC(:,9)./4.00000) - 1.00000); ALGEBRAIC(:,22) = 5.00000./(1.00000+exp(( - 1.00000.*ALGEBRAIC(:,9))./4.00000)); RATES(:,15) = ALGEBRAIC(:,17).*(1.00000 - STATES(:,15)) - ALGEBRAIC(:,22).*STATES(:,15); ALGEBRAIC(:,1) = CONSTANTS(:,40).*log(CONSTANTS(:,8)./STATES(:,4)); ALGEBRAIC(:,28) = CONSTANTS(:,12).*(STATES(:,1) - ALGEBRAIC(:,1)); ALGEBRAIC(:,31) = ( (( CONSTANTS(:,15).*STATES(:,2))./(CONSTANTS(:,16)+STATES(:,2))).*STATES(:,4))./(CONSTANTS(:,17)+STATES(:,4)); ALGEBRAIC(:,32) = ( CONSTANTS(:,19).*( exp(( CONSTANTS(:,21).*(CONSTANTS(:,18) - 2.00000).*STATES(:,1))./CONSTANTS(:,40)).*power(STATES(:,4), CONSTANTS(:,18)).*CONSTANTS(:,14) - exp(( (CONSTANTS(:,21) - 1.00000).*(CONSTANTS(:,18) - 2.00000).*STATES(:,1))./CONSTANTS(:,40)).*power(CONSTANTS(:,8), CONSTANTS(:,18)).*STATES(:,7)))./( (1.00000+ CONSTANTS(:,20).*( STATES(:,7).*power(CONSTANTS(:,8), CONSTANTS(:,18))+ CONSTANTS(:,14).*power(STATES(:,4), CONSTANTS(:,18)))).*(1.00000+STATES(:,7)./0.00690000)); ALGEBRAIC(:,33) = CONSTANTS(:,40).*log((CONSTANTS(:,8)+ 0.120000.*STATES(:,2))./(STATES(:,4)+ 0.120000.*STATES(:,3))); ALGEBRAIC(:,34) = CONSTANTS(:,22).*power(STATES(:,8), 3.00000).*STATES(:,9).*(STATES(:,1) - ALGEBRAIC(:,33)); ALGEBRAIC(:,21) = (( power(STATES(:,5), 2.00000).*STATES(:,2))./(STATES(:,2)+CONSTANTS(:,7))).*CONSTANTS(:,5).*(STATES(:,1) - ALGEBRAIC(:,1)); ALGEBRAIC(:,38) = (( 0.0100000.*CONSTANTS(:,24).*(STATES(:,1) - 50.0000))./( CONSTANTS(:,40).*(1.00000 - exp(( - 1.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,40))))).*( STATES(:,4).*exp(50.0000./CONSTANTS(:,40)) - CONSTANTS(:,8).*exp(( - 1.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,40))).*STATES(:,10).*STATES(:,11).*STATES(:,12); RATES(:,4) = ( - 1.00000.*(ALGEBRAIC(:,34)+ALGEBRAIC(:,28)+ALGEBRAIC(:,21)+ALGEBRAIC(:,38)+ ALGEBRAIC(:,31).*3.00000+( ALGEBRAIC(:,32).*CONSTANTS(:,18))./(CONSTANTS(:,18) - 2.00000)))./( 1.00000.*CONSTANTS(:,42).*CONSTANTS(:,3)); ALGEBRAIC(:,37) = (( 2.00000.*1.00000.*CONSTANTS(:,42).*CONSTANTS(:,3))./( 1.00000.*CONSTANTS(:,34).*CONSTANTS(:,32))).*STATES(:,7).*(CONSTANTS(:,32) - STATES(:,13)); ALGEBRAIC(:,39) = (( 2.00000.*1.00000.*CONSTANTS(:,45).*CONSTANTS(:,3))./( 1.00000.*CONSTANTS(:,35))).*STATES(:,15).*(STATES(:,13) - STATES(:,14)); RATES(:,13) = ( 1.00000.*(ALGEBRAIC(:,37) - ALGEBRAIC(:,39)))./( 2.00000.*1.00000.*CONSTANTS(:,44).*CONSTANTS(:,3)); ALGEBRAIC(:,25) = ( CONSTANTS(:,9).*(STATES(:,3) - STATES(:,2).*exp( - STATES(:,1)./25.0000)))./140.000; ALGEBRAIC(:,26) = STATES(:,6).*ALGEBRAIC(:,25); ALGEBRAIC(:,10) = CONSTANTS(:,40).*log(STATES(:,2)./STATES(:,3)); ALGEBRAIC(:,27) = ( (( CONSTANTS(:,10).*STATES(:,2))./(STATES(:,2)+CONSTANTS(:,11))).*(STATES(:,1) - ALGEBRAIC(:,10)))./(1.00000+exp(( ((STATES(:,1)+10.0000) - ALGEBRAIC(:,10)).*2.00000)./CONSTANTS(:,40))); ALGEBRAIC(:,23) = (( power(STATES(:,5), 2.00000).*STATES(:,2))./(STATES(:,2)+CONSTANTS(:,7))).*CONSTANTS(:,6).*(STATES(:,1) - ALGEBRAIC(:,10)); ALGEBRAIC(:,36) = (( 0.0100000.*CONSTANTS(:,24).*(STATES(:,1) - 50.0000))./( CONSTANTS(:,40).*(1.00000 - exp(( - 1.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,40))))).*( STATES(:,3).*exp(50.0000./CONSTANTS(:,40)) - STATES(:,2).*exp(( - 1.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,40))).*STATES(:,10).*STATES(:,11).*STATES(:,12); ALGEBRAIC(:,40) = (ALGEBRAIC(:,27)+ALGEBRAIC(:,26)+ALGEBRAIC(:,23)+ALGEBRAIC(:,36)) - 2.00000.*ALGEBRAIC(:,31); RATES(:,2) = - CONSTANTS(:,39).*(STATES(:,2) - CONSTANTS(:,38))+( 1.00000.*ALGEBRAIC(:,40))./( 1.00000.*CONSTANTS(:,43).*CONSTANTS(:,3)); RATES(:,3) = ( - 1.00000.*ALGEBRAIC(:,40))./( 1.00000.*CONSTANTS(:,42).*CONSTANTS(:,3)); ALGEBRAIC(:,24) = ALGEBRAIC(:,21)+ALGEBRAIC(:,23); ALGEBRAIC(:,29) = 0.500000.*CONSTANTS(:,40).*log(CONSTANTS(:,14)./STATES(:,7)); ALGEBRAIC(:,30) = CONSTANTS(:,13).*(STATES(:,1) - ALGEBRAIC(:,29)); ALGEBRAIC(:,35) = (( 4.00000.*CONSTANTS(:,24).*(STATES(:,1) - 50.0000))./( CONSTANTS(:,40).*(1.00000 - exp(( - 1.00000.*(STATES(:,1) - 50.0000).*2.00000)./CONSTANTS(:,40))))).*( STATES(:,7).*exp(100.000./CONSTANTS(:,40)) - CONSTANTS(:,14).*exp(( - 2.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,40))).*STATES(:,10).*STATES(:,11).*STATES(:,12); ALGEBRAIC(:,41) = ALGEBRAIC(:,35)+ALGEBRAIC(:,36)+ALGEBRAIC(:,38); RATES(:,1) = - (ALGEBRAIC(:,24)+ALGEBRAIC(:,26)+ALGEBRAIC(:,27)+ALGEBRAIC(:,28)+ALGEBRAIC(:,30)+ALGEBRAIC(:,31)+ALGEBRAIC(:,32)+ALGEBRAIC(:,34)+ALGEBRAIC(:,41))./CONSTANTS(:,4); ALGEBRAIC(:,42) = ( (( 2.00000.*1.00000.*CONSTANTS(:,45).*CONSTANTS(:,3))./( 1.00000.*CONSTANTS(:,36))).*STATES(:,14).*power(STATES(:,7), CONSTANTS(:,37)))./(power(STATES(:,7), CONSTANTS(:,37))+power(CONSTANTS(:,33), CONSTANTS(:,37))); RATES(:,14) = ( 1.00000.*(ALGEBRAIC(:,39) - ALGEBRAIC(:,42)))./( 2.00000.*1.00000.*CONSTANTS(:,45).*CONSTANTS(:,3)); RATES(:,7) = ( - 1.00000.*((((ALGEBRAIC(:,35)+ALGEBRAIC(:,30)) - ( 2.00000.*ALGEBRAIC(:,32))./(CONSTANTS(:,18) - 2.00000)) - ALGEBRAIC(:,42))+ALGEBRAIC(:,37)))./( 2.00000.*1.00000.*CONSTANTS(:,42).*CONSTANTS(:,3)); RATES = RATES'; end % Calculate algebraic variables function ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI) statesSize = size(STATES); statesColumnCount = statesSize(2); if ( statesColumnCount == 1) STATES = STATES'; utilOnes = 1; else statesRowCount = statesSize(1); utilOnes = ones(statesRowCount, 1); end ALGEBRAIC(:,8) = ( STATES(:,7).*CONSTANTS(:,27))./CONSTANTS(:,28); ALGEBRAIC(:,2) = 0.0200000.*exp( - STATES(:,1)./18.0000); ALGEBRAIC(:,11) = 19.5000.*exp(STATES(:,1)./19.0000); ALGEBRAIC(:,3) = 2.10000.*exp(STATES(:,1)./28.0000); ALGEBRAIC(:,12) = 0.960000.*exp( - STATES(:,1)./24.0000); ALGEBRAIC(:,5) = 20.0000.*exp( - 0.125000.*(STATES(:,1)+75.0000)); ALGEBRAIC(:,14) = 2000.00./( 320.000.*exp( - 0.100000.*(STATES(:,1)+75.0000))+1.00000); ALGEBRAIC(:,4) = STATES(:,1)+41.0000; ALGEBRAIC(:,13) = piecewise({abs(ALGEBRAIC(:,4))<CONSTANTS(:,23), 2000.00 }, ( 200.000.*ALGEBRAIC(:,4))./(1.00000 - exp( - 0.100000.*ALGEBRAIC(:,4)))); ALGEBRAIC(:,18) = 8000.00.*exp( - 0.0560000.*(STATES(:,1)+66.0000)); ALGEBRAIC(:,6) = (STATES(:,1)+24.0000) - 5.00000; ALGEBRAIC(:,15) = piecewise({abs(ALGEBRAIC(:,6))<CONSTANTS(:,25), 120.000 }, ( 30.0000.*ALGEBRAIC(:,6))./(1.00000 - exp(( - 1.00000.*ALGEBRAIC(:,6))./4.00000))); ALGEBRAIC(:,19) = piecewise({abs(ALGEBRAIC(:,6))<CONSTANTS(:,25), 120.000 }, ( 12.0000.*ALGEBRAIC(:,6))./(exp(ALGEBRAIC(:,6)./10.0000) - 1.00000)); ALGEBRAIC(:,7) = STATES(:,1)+34.0000; ALGEBRAIC(:,16) = piecewise({abs(ALGEBRAIC(:,7))<CONSTANTS(:,26), 25.0000 }, ( 6.25000.*ALGEBRAIC(:,7))./(exp(ALGEBRAIC(:,7)./4.00000) - 1.00000)); ALGEBRAIC(:,20) = 50.0000./(1.00000+exp(( - 1.00000.*(STATES(:,1)+34.0000))./4.00000)); ALGEBRAIC(:,9) = (STATES(:,1)+34.0000) - - 30.0000; ALGEBRAIC(:,17) = ( 0.625000.*ALGEBRAIC(:,9))./(exp(ALGEBRAIC(:,9)./4.00000) - 1.00000); ALGEBRAIC(:,22) = 5.00000./(1.00000+exp(( - 1.00000.*ALGEBRAIC(:,9))./4.00000)); ALGEBRAIC(:,1) = CONSTANTS(:,40).*log(CONSTANTS(:,8)./STATES(:,4)); ALGEBRAIC(:,28) = CONSTANTS(:,12).*(STATES(:,1) - ALGEBRAIC(:,1)); ALGEBRAIC(:,31) = ( (( CONSTANTS(:,15).*STATES(:,2))./(CONSTANTS(:,16)+STATES(:,2))).*STATES(:,4))./(CONSTANTS(:,17)+STATES(:,4)); ALGEBRAIC(:,32) = ( CONSTANTS(:,19).*( exp(( CONSTANTS(:,21).*(CONSTANTS(:,18) - 2.00000).*STATES(:,1))./CONSTANTS(:,40)).*power(STATES(:,4), CONSTANTS(:,18)).*CONSTANTS(:,14) - exp(( (CONSTANTS(:,21) - 1.00000).*(CONSTANTS(:,18) - 2.00000).*STATES(:,1))./CONSTANTS(:,40)).*power(CONSTANTS(:,8), CONSTANTS(:,18)).*STATES(:,7)))./( (1.00000+ CONSTANTS(:,20).*( STATES(:,7).*power(CONSTANTS(:,8), CONSTANTS(:,18))+ CONSTANTS(:,14).*power(STATES(:,4), CONSTANTS(:,18)))).*(1.00000+STATES(:,7)./0.00690000)); ALGEBRAIC(:,33) = CONSTANTS(:,40).*log((CONSTANTS(:,8)+ 0.120000.*STATES(:,2))./(STATES(:,4)+ 0.120000.*STATES(:,3))); ALGEBRAIC(:,34) = CONSTANTS(:,22).*power(STATES(:,8), 3.00000).*STATES(:,9).*(STATES(:,1) - ALGEBRAIC(:,33)); ALGEBRAIC(:,21) = (( power(STATES(:,5), 2.00000).*STATES(:,2))./(STATES(:,2)+CONSTANTS(:,7))).*CONSTANTS(:,5).*(STATES(:,1) - ALGEBRAIC(:,1)); ALGEBRAIC(:,38) = (( 0.0100000.*CONSTANTS(:,24).*(STATES(:,1) - 50.0000))./( CONSTANTS(:,40).*(1.00000 - exp(( - 1.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,40))))).*( STATES(:,4).*exp(50.0000./CONSTANTS(:,40)) - CONSTANTS(:,8).*exp(( - 1.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,40))).*STATES(:,10).*STATES(:,11).*STATES(:,12); ALGEBRAIC(:,37) = (( 2.00000.*1.00000.*CONSTANTS(:,42).*CONSTANTS(:,3))./( 1.00000.*CONSTANTS(:,34).*CONSTANTS(:,32))).*STATES(:,7).*(CONSTANTS(:,32) - STATES(:,13)); ALGEBRAIC(:,39) = (( 2.00000.*1.00000.*CONSTANTS(:,45).*CONSTANTS(:,3))./( 1.00000.*CONSTANTS(:,35))).*STATES(:,15).*(STATES(:,13) - STATES(:,14)); ALGEBRAIC(:,25) = ( CONSTANTS(:,9).*(STATES(:,3) - STATES(:,2).*exp( - STATES(:,1)./25.0000)))./140.000; ALGEBRAIC(:,26) = STATES(:,6).*ALGEBRAIC(:,25); ALGEBRAIC(:,10) = CONSTANTS(:,40).*log(STATES(:,2)./STATES(:,3)); ALGEBRAIC(:,27) = ( (( CONSTANTS(:,10).*STATES(:,2))./(STATES(:,2)+CONSTANTS(:,11))).*(STATES(:,1) - ALGEBRAIC(:,10)))./(1.00000+exp(( ((STATES(:,1)+10.0000) - ALGEBRAIC(:,10)).*2.00000)./CONSTANTS(:,40))); ALGEBRAIC(:,23) = (( power(STATES(:,5), 2.00000).*STATES(:,2))./(STATES(:,2)+CONSTANTS(:,7))).*CONSTANTS(:,6).*(STATES(:,1) - ALGEBRAIC(:,10)); ALGEBRAIC(:,36) = (( 0.0100000.*CONSTANTS(:,24).*(STATES(:,1) - 50.0000))./( CONSTANTS(:,40).*(1.00000 - exp(( - 1.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,40))))).*( STATES(:,3).*exp(50.0000./CONSTANTS(:,40)) - STATES(:,2).*exp(( - 1.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,40))).*STATES(:,10).*STATES(:,11).*STATES(:,12); ALGEBRAIC(:,40) = (ALGEBRAIC(:,27)+ALGEBRAIC(:,26)+ALGEBRAIC(:,23)+ALGEBRAIC(:,36)) - 2.00000.*ALGEBRAIC(:,31); ALGEBRAIC(:,24) = ALGEBRAIC(:,21)+ALGEBRAIC(:,23); ALGEBRAIC(:,29) = 0.500000.*CONSTANTS(:,40).*log(CONSTANTS(:,14)./STATES(:,7)); ALGEBRAIC(:,30) = CONSTANTS(:,13).*(STATES(:,1) - ALGEBRAIC(:,29)); ALGEBRAIC(:,35) = (( 4.00000.*CONSTANTS(:,24).*(STATES(:,1) - 50.0000))./( CONSTANTS(:,40).*(1.00000 - exp(( - 1.00000.*(STATES(:,1) - 50.0000).*2.00000)./CONSTANTS(:,40))))).*( STATES(:,7).*exp(100.000./CONSTANTS(:,40)) - CONSTANTS(:,14).*exp(( - 2.00000.*(STATES(:,1) - 50.0000))./CONSTANTS(:,40))).*STATES(:,10).*STATES(:,11).*STATES(:,12); ALGEBRAIC(:,41) = ALGEBRAIC(:,35)+ALGEBRAIC(:,36)+ALGEBRAIC(:,38); ALGEBRAIC(:,42) = ( (( 2.00000.*1.00000.*CONSTANTS(:,45).*CONSTANTS(:,3))./( 1.00000.*CONSTANTS(:,36))).*STATES(:,14).*power(STATES(:,7), CONSTANTS(:,37)))./(power(STATES(:,7), CONSTANTS(:,37))+power(CONSTANTS(:,33), CONSTANTS(:,37))); 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