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 =70; end % There are a total of 18 entries in each of the rate and state variable arrays. % There are a total of 49 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('Vm in component Membrane (volt)'); LEGEND_ALGEBRAIC(:,52) = strpad('i_CaL in component i_CaL (A_per_F)'); LEGEND_ALGEBRAIC(:,58) = strpad('i_K1 in component i_K1 (A_per_F)'); LEGEND_ALGEBRAIC(:,59) = strpad('i_f in component i_f (A_per_F)'); LEGEND_ALGEBRAIC(:,49) = strpad('i_Na in component i_Na (A_per_F)'); LEGEND_ALGEBRAIC(:,53) = strpad('i_Kr in component i_Kr (A_per_F)'); LEGEND_ALGEBRAIC(:,54) = strpad('i_Ks in component i_Ks (A_per_F)'); LEGEND_ALGEBRAIC(:,65) = strpad('i_to in component i_to (A_per_F)'); LEGEND_ALGEBRAIC(:,64) = strpad('i_PCa in component i_PCa (A_per_F)'); LEGEND_ALGEBRAIC(:,62) = strpad('i_NaK in component i_NaK (A_per_F)'); LEGEND_ALGEBRAIC(:,63) = strpad('i_NaCa in component i_NaCa (A_per_F)'); LEGEND_ALGEBRAIC(:,61) = strpad('i_b_Ca in component i_b_Ca (A_per_F)'); LEGEND_ALGEBRAIC(:,60) = strpad('i_b_Na in component i_b_Na (A_per_F)'); LEGEND_ALGEBRAIC(:,11) = strpad('E_Na in component electric_potentials (volt)'); LEGEND_CONSTANTS(:,47) = strpad('E_K in component electric_potentials (volt)'); LEGEND_ALGEBRAIC(:,26) = strpad('E_Ks in component electric_potentials (volt)'); LEGEND_ALGEBRAIC(:,40) = strpad('E_Ca in component electric_potentials (volt)'); LEGEND_CONSTANTS(:,1) = strpad('R in component model_parameters (joule_per_mole_kelvin)'); LEGEND_CONSTANTS(:,2) = strpad('T in component model_parameters (kelvin)'); LEGEND_CONSTANTS(:,3) = strpad('F in component model_parameters (coulomb_per_mole)'); LEGEND_STATES(:,2) = strpad('Nai in component sodium_dynamics (millimolar)'); LEGEND_CONSTANTS(:,4) = strpad('Nao in component model_parameters (millimolar)'); LEGEND_STATES(:,3) = strpad('Cai in component calcium_dynamics (millimolar)'); LEGEND_CONSTANTS(:,5) = strpad('Cao in component model_parameters (millimolar)'); LEGEND_CONSTANTS(:,6) = strpad('Ki in component model_parameters (millimolar)'); LEGEND_CONSTANTS(:,7) = strpad('Ko in component model_parameters (millimolar)'); LEGEND_CONSTANTS(:,8) = strpad('PkNa in component electric_potentials (dimensionless)'); LEGEND_CONSTANTS(:,9) = strpad('g_Na in component i_Na (S_per_F)'); LEGEND_STATES(:,4) = strpad('m in component i_Na_m_gate (dimensionless)'); LEGEND_STATES(:,5) = strpad('h in component i_Na_h_gate (dimensionless)'); LEGEND_STATES(:,6) = strpad('j in component i_Na_j_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,1) = strpad('m_inf in component i_Na_m_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,41) = strpad('tau_m in component i_Na_m_gate (second)'); LEGEND_ALGEBRAIC(:,16) = strpad('alpha_m in component i_Na_m_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,31) = strpad('beta_m in component i_Na_m_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,2) = strpad('h_inf in component i_Na_h_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,17) = strpad('alpha_h in component i_Na_h_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,32) = strpad('beta_h in component i_Na_h_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,42) = strpad('tau_h in component i_Na_h_gate (second)'); LEGEND_ALGEBRAIC(:,3) = strpad('j_inf in component i_Na_j_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,18) = strpad('alpha_j in component i_Na_j_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,33) = strpad('beta_j in component i_Na_j_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,43) = strpad('tau_j in component i_Na_j_gate (second)'); LEGEND_CONSTANTS(:,10) = strpad('g_CaL in component i_CaL (metre_cube_per_F_per_s)'); LEGEND_STATES(:,7) = strpad('d in component i_CaL_d_gate (dimensionless)'); LEGEND_STATES(:,8) = strpad('f1 in component i_CaL_f1_gate (dimensionless)'); LEGEND_STATES(:,9) = strpad('f2 in component i_CaL_f2_gate (dimensionless)'); LEGEND_STATES(:,10) = strpad('fCa in component i_CaL_fCa_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,4) = strpad('d_infinity in component i_CaL_d_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,50) = strpad('tau_d in component i_CaL_d_gate (second)'); LEGEND_ALGEBRAIC(:,19) = strpad('alpha_d in component i_CaL_d_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,34) = strpad('beta_d in component i_CaL_d_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,44) = strpad('gamma_d in component i_CaL_d_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,5) = strpad('f1_inf in component i_CaL_f1_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,35) = strpad('tau_f1 in component i_CaL_f1_gate (second)'); LEGEND_ALGEBRAIC(:,20) = strpad('constf1 in component i_CaL_f1_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,6) = strpad('f2_inf in component i_CaL_f2_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,21) = strpad('tau_f2 in component i_CaL_f2_gate (second)'); LEGEND_CONSTANTS(:,48) = strpad('constf2 in component i_CaL_f2_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,51) = strpad('constfCa in component i_CaL_fCa_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,7) = strpad('alpha_fCa in component i_CaL_fCa_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,22) = strpad('beta_fCa in component i_CaL_fCa_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,36) = strpad('gamma_fCa in component i_CaL_fCa_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,45) = strpad('fCa_inf in component i_CaL_fCa_gate (dimensionless)'); LEGEND_CONSTANTS(:,11) = strpad('tau_fCa in component i_CaL_fCa_gate (second)'); LEGEND_CONSTANTS(:,12) = strpad('g_Kr in component i_Kr (S_per_F)'); LEGEND_STATES(:,11) = strpad('Xr1 in component i_Kr_Xr1_gate (dimensionless)'); LEGEND_STATES(:,12) = strpad('Xr2 in component i_Kr_Xr2_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,8) = strpad('Xr1_inf in component i_Kr_Xr1_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,23) = strpad('alpha_Xr1 in component i_Kr_Xr1_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,37) = strpad('beta_Xr1 in component i_Kr_Xr1_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,46) = strpad('tau_Xr1 in component i_Kr_Xr1_gate (second)'); LEGEND_CONSTANTS(:,13) = strpad('L0 in component i_Kr_Xr1_gate (dimensionless)'); LEGEND_CONSTANTS(:,49) = strpad('V_half in component i_Kr_Xr1_gate (millivolt)'); LEGEND_CONSTANTS(:,14) = strpad('Q in component i_Kr_Xr1_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,9) = strpad('Xr2_infinity in component i_Kr_Xr2_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,24) = strpad('alpha_Xr2 in component i_Kr_Xr2_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,38) = strpad('beta_Xr2 in component i_Kr_Xr2_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,47) = strpad('tau_Xr2 in component i_Kr_Xr2_gate (second)'); LEGEND_CONSTANTS(:,15) = strpad('g_Ks in component i_Ks (S_per_F)'); LEGEND_STATES(:,13) = strpad('Xs in component i_Ks_Xs_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,10) = strpad('Xs_infinity in component i_Ks_Xs_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,25) = strpad('alpha_Xs in component i_Ks_Xs_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,39) = strpad('beta_Xs in component i_Ks_Xs_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,48) = strpad('tau_Xs in component i_Ks_Xs_gate (second)'); LEGEND_CONSTANTS(:,16) = strpad('g_K1 in component i_K1 (S_per_F)'); LEGEND_ALGEBRAIC(:,57) = strpad('XK1_inf in component i_K1 (dimensionless)'); LEGEND_ALGEBRAIC(:,55) = strpad('alpha_K1 in component i_K1 (dimensionless)'); LEGEND_ALGEBRAIC(:,56) = strpad('beta_K1 in component i_K1 (dimensionless)'); LEGEND_CONSTANTS(:,17) = strpad('g_f in component i_f (S_per_F)'); LEGEND_CONSTANTS(:,18) = strpad('E_f in component i_f (volt)'); LEGEND_STATES(:,14) = strpad('Xf in component i_f_Xf_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,12) = strpad('Xf_infinity in component i_f_Xf_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,27) = strpad('tau_Xf in component i_f_Xf_gate (second)'); LEGEND_CONSTANTS(:,19) = strpad('g_b_Na in component i_b_Na (S_per_F)'); LEGEND_CONSTANTS(:,20) = strpad('g_b_Ca in component i_b_Ca (S_per_F)'); LEGEND_CONSTANTS(:,21) = strpad('Km_K in component i_NaK (millimolar)'); LEGEND_CONSTANTS(:,22) = strpad('Km_Na in component i_NaK (millimolar)'); LEGEND_CONSTANTS(:,23) = strpad('PNaK in component i_NaK (A_per_F)'); LEGEND_CONSTANTS(:,24) = strpad('kNaCa in component i_NaCa (A_per_F)'); LEGEND_CONSTANTS(:,25) = strpad('alpha in component i_NaCa (dimensionless)'); LEGEND_CONSTANTS(:,26) = strpad('gamma in component i_NaCa (dimensionless)'); LEGEND_CONSTANTS(:,27) = strpad('Ksat in component i_NaCa (dimensionless)'); LEGEND_CONSTANTS(:,28) = strpad('KmCa in component i_NaCa (millimolar)'); LEGEND_CONSTANTS(:,29) = strpad('KmNai in component i_NaCa (millimolar)'); LEGEND_CONSTANTS(:,30) = strpad('g_PCa in component i_PCa (A_per_F)'); LEGEND_CONSTANTS(:,31) = strpad('KPCa in component i_PCa (millimolar)'); LEGEND_CONSTANTS(:,32) = strpad('g_to in component i_to (S_per_F)'); LEGEND_STATES(:,15) = strpad('q in component i_to_q_gate (dimensionless)'); LEGEND_STATES(:,16) = strpad('r in component i_to_r_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,13) = strpad('q_inf in component i_to_q_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,28) = strpad('tau_q in component i_to_q_gate (second)'); LEGEND_ALGEBRAIC(:,14) = strpad('r_inf in component i_to_r_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,29) = strpad('tau_r in component i_to_r_gate (second)'); LEGEND_CONSTANTS(:,33) = strpad('Cm in component model_parameters (farad)'); LEGEND_CONSTANTS(:,34) = strpad('Vc in component model_parameters (micrometre_cube)'); LEGEND_CONSTANTS(:,35) = strpad('V_SR in component model_parameters (micrometre_cube)'); LEGEND_STATES(:,17) = strpad('Ca_SR in component calcium_dynamics (millimolar)'); LEGEND_CONSTANTS(:,36) = strpad('a_rel in component calcium_dynamics (millimolar_per_second)'); LEGEND_CONSTANTS(:,37) = strpad('b_rel in component calcium_dynamics (millimolar)'); LEGEND_CONSTANTS(:,38) = strpad('c_rel in component calcium_dynamics (millimolar_per_second)'); LEGEND_STATES(:,18) = strpad('g in component calcium_dynamics (dimensionless)'); LEGEND_CONSTANTS(:,39) = strpad('tau_g in component calcium_dynamics (second)'); LEGEND_ALGEBRAIC(:,15) = strpad('g_inf in component calcium_dynamics (dimensionless)'); LEGEND_CONSTANTS(:,40) = strpad('Kup in component calcium_dynamics (millimolar)'); LEGEND_CONSTANTS(:,41) = strpad('Buf_C in component calcium_dynamics (millimolar)'); LEGEND_CONSTANTS(:,42) = strpad('Buf_SR in component calcium_dynamics (millimolar)'); LEGEND_CONSTANTS(:,43) = strpad('Kbuf_C in component calcium_dynamics (millimolar)'); LEGEND_CONSTANTS(:,44) = strpad('Kbuf_SR in component calcium_dynamics (millimolar)'); LEGEND_ALGEBRAIC(:,69) = strpad('Cai_bufc in component calcium_dynamics (dimensionless)'); LEGEND_ALGEBRAIC(:,70) = strpad('Ca_SR_bufSR in component calcium_dynamics (dimensionless)'); LEGEND_CONSTANTS(:,45) = strpad('VmaxUp in component calcium_dynamics (millimolar_per_second)'); LEGEND_ALGEBRAIC(:,30) = strpad('const2 in component calcium_dynamics (dimensionless)'); LEGEND_CONSTANTS(:,46) = strpad('V_leak in component calcium_dynamics (per_second)'); LEGEND_ALGEBRAIC(:,66) = strpad('i_rel in component calcium_dynamics (millimolar_per_second)'); LEGEND_ALGEBRAIC(:,67) = strpad('i_up in component calcium_dynamics (millimolar_per_second)'); LEGEND_ALGEBRAIC(:,68) = strpad('i_leak in component calcium_dynamics (millimolar_per_second)'); LEGEND_RATES(:,1) = strpad('d/dt Vm in component Membrane (volt)'); LEGEND_RATES(:,4) = strpad('d/dt m in component i_Na_m_gate (dimensionless)'); LEGEND_RATES(:,5) = strpad('d/dt h in component i_Na_h_gate (dimensionless)'); LEGEND_RATES(:,6) = strpad('d/dt j in component i_Na_j_gate (dimensionless)'); LEGEND_RATES(:,7) = strpad('d/dt d in component i_CaL_d_gate (dimensionless)'); LEGEND_RATES(:,8) = strpad('d/dt f1 in component i_CaL_f1_gate (dimensionless)'); LEGEND_RATES(:,9) = strpad('d/dt f2 in component i_CaL_f2_gate (dimensionless)'); LEGEND_RATES(:,10) = strpad('d/dt fCa in component i_CaL_fCa_gate (dimensionless)'); LEGEND_RATES(:,11) = strpad('d/dt Xr1 in component i_Kr_Xr1_gate (dimensionless)'); LEGEND_RATES(:,12) = strpad('d/dt Xr2 in component i_Kr_Xr2_gate (dimensionless)'); LEGEND_RATES(:,13) = strpad('d/dt Xs in component i_Ks_Xs_gate (dimensionless)'); LEGEND_RATES(:,14) = strpad('d/dt Xf in component i_f_Xf_gate (dimensionless)'); LEGEND_RATES(:,15) = strpad('d/dt q in component i_to_q_gate (dimensionless)'); LEGEND_RATES(:,16) = strpad('d/dt r in component i_to_r_gate (dimensionless)'); LEGEND_RATES(:,2) = strpad('d/dt Nai in component sodium_dynamics (millimolar)'); LEGEND_RATES(:,18) = strpad('d/dt g in component calcium_dynamics (dimensionless)'); LEGEND_RATES(:,3) = strpad('d/dt Cai in component calcium_dynamics (millimolar)'); LEGEND_RATES(:,17) = strpad('d/dt Ca_SR in component calcium_dynamics (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) = -0.068733823452164; CONSTANTS(:,1) = 8.314472; CONSTANTS(:,2) = 310; CONSTANTS(:,3) = 96485.3415; STATES(:,2) = 14.4424010544424; CONSTANTS(:,4) = 151; STATES(:,3) = 4.49232909234503e-5; CONSTANTS(:,5) = 1.8; CONSTANTS(:,6) = 150; CONSTANTS(:,7) = 5.4; CONSTANTS(:,8) = 0.03; CONSTANTS(:,9) = 6646.185; STATES(:,4) = 0.141183142078492; STATES(:,5) = 0.642108593994587; STATES(:,6) = 0.173566329483423; CONSTANTS(:,10) = 8.635702e-5; STATES(:,7) = 0.000127632520741878; STATES(:,8) = 0.98038400433601; STATES(:,9) = 0.999953006710394; STATES(:,10) = 0.997346890768643; CONSTANTS(:,11) = 0.002; CONSTANTS(:,12) = 29.8667; STATES(:,11) = 0.0257889110986083; STATES(:,12) = 0.405046678739985; CONSTANTS(:,13) = 0.025; CONSTANTS(:,14) = 2.3; CONSTANTS(:,15) = 2.041; STATES(:,13) = 0.0447460799149437; CONSTANTS(:,16) = 19.1925; CONSTANTS(:,17) = 30.10312; CONSTANTS(:,18) = -0.017; STATES(:,14) = 0.0607988713874682; CONSTANTS(:,19) = 0.9; CONSTANTS(:,20) = 0.69264; CONSTANTS(:,21) = 1; CONSTANTS(:,22) = 40; CONSTANTS(:,23) = 1.4731392; CONSTANTS(:,24) = 2450; CONSTANTS(:,25) = 2.8571432; CONSTANTS(:,26) = 0.35; CONSTANTS(:,27) = 0.1; CONSTANTS(:,28) = 1.38; CONSTANTS(:,29) = 87.5; CONSTANTS(:,30) = 0.4125; CONSTANTS(:,31) = 0.0005; CONSTANTS(:,32) = 59.8077; STATES(:,15) = 0.776163826643278; STATES(:,16) = 0.000503296941001262; CONSTANTS(:,33) = 7.86671e-11; CONSTANTS(:,34) = 7012; CONSTANTS(:,35) = 465.2; STATES(:,17) = 0.149980051221604; CONSTANTS(:,36) = 16.464; CONSTANTS(:,37) = 0.25; CONSTANTS(:,38) = 8.232; STATES(:,18) = 1; CONSTANTS(:,39) = 0.002; CONSTANTS(:,40) = 0.00025; CONSTANTS(:,41) = 0.25; CONSTANTS(:,42) = 10; CONSTANTS(:,43) = 0.001; CONSTANTS(:,44) = 0.3; CONSTANTS(:,45) = 0.22; CONSTANTS(:,46) = 0.00044444; CONSTANTS(:,47) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,7)./CONSTANTS(:,6)); CONSTANTS(:,48) = 2.00000; CONSTANTS(:,49) = 1000.00.*( (( - CONSTANTS(:,1).*CONSTANTS(:,2))./( CONSTANTS(:,3).*CONSTANTS(:,14))).*log(power(1.00000+CONSTANTS(:,5)./2.60000, 4.00000)./( CONSTANTS(:,13).*power(1.00000+CONSTANTS(:,5)./0.580000, 4.00000))) - 0.0190000); 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(:,6) = 0.330000+0.670000./(1.00000+exp(( STATES(:,1).*1000.00+31.2260)./4.00000)); ALGEBRAIC(:,21) = ( ( 600.000.*exp( - power( STATES(:,1).*1000.00+25.0000, 2.00000)./170.000)+(31.0000./(1.00000+exp((25.0000 - STATES(:,1).*1000.00)./10.0000))+16.0000./(1.00000+exp((30.0000+ STATES(:,1).*1000.00)./10.0000)))).*CONSTANTS(:,48))./1000.00; RATES(:,9) = (ALGEBRAIC(:,6) - STATES(:,9))./ALGEBRAIC(:,21); ALGEBRAIC(:,12) = 1.00000./(1.00000+exp(( STATES(:,1).*1000.00+77.8500)./5.00000)); ALGEBRAIC(:,27) = (1900.00./(1.00000+exp(( STATES(:,1).*1000.00+15.0000)./10.0000)))./1000.00; RATES(:,14) = (ALGEBRAIC(:,12) - STATES(:,14))./ALGEBRAIC(:,27); ALGEBRAIC(:,13) = 1.00000./(1.00000+exp(( STATES(:,1).*1000.00+53.0000)./13.0000)); ALGEBRAIC(:,28) = (6.06000+39.1020./( 0.570000.*exp( - 0.0800000.*( STATES(:,1).*1000.00+44.0000))+ 0.0650000.*exp( 0.100000.*( STATES(:,1).*1000.00+45.9300))))./1000.00; RATES(:,15) = (ALGEBRAIC(:,13) - STATES(:,15))./ALGEBRAIC(:,28); ALGEBRAIC(:,14) = 1.00000./(1.00000+exp( - ( STATES(:,1).*1000.00 - 22.3000)./18.7500)); ALGEBRAIC(:,29) = (2.75352+14.4052./( 1.03700.*exp( 0.0900000.*( STATES(:,1).*1000.00+30.6100))+ 0.369000.*exp( - 0.120000.*( STATES(:,1).*1000.00+23.8400))))./1000.00; RATES(:,16) = (ALGEBRAIC(:,14) - STATES(:,16))./ALGEBRAIC(:,29); ALGEBRAIC(:,15) = piecewise({STATES(:,3)<=0.000350000, 1.00000./(1.00000+power(STATES(:,3)./0.000350000, 6.00000)) }, 1.00000./(1.00000+power(STATES(:,3)./0.000350000, 16.0000))); ALGEBRAIC(:,30) = piecewise({ALGEBRAIC(:,15)>STATES(:,18)&STATES(:,1)> - 0.0600000, 0.00000 }, 1.00000); RATES(:,18) = ( ALGEBRAIC(:,30).*(ALGEBRAIC(:,15) - STATES(:,18)))./CONSTANTS(:,39); ALGEBRAIC(:,5) = 1.00000./(1.00000+exp(( STATES(:,1).*1000.00+25.2260)./3.00000)); ALGEBRAIC(:,20) = piecewise({ALGEBRAIC(:,5) - STATES(:,8)>0.00000, 1.00000+ 1433.00.*(STATES(:,3) - 50.0000.*1.00000e-06) }, 1.00000); ALGEBRAIC(:,35) = ( (20.0000+( 1102.50.*exp( - power(power( STATES(:,1).*1000.00+27.0000, 2.00000)./15.0000, 2.00000))+(200.000./(1.00000+exp((13.0000 - STATES(:,1).*1000.00)./10.0000))+180.000./(1.00000+exp((30.0000+ STATES(:,1).*1000.00)./10.0000))))).*ALGEBRAIC(:,20))./1000.00; RATES(:,8) = (ALGEBRAIC(:,5) - STATES(:,8))./ALGEBRAIC(:,35); ALGEBRAIC(:,1) = 1.00000./power(1.00000+exp(( - STATES(:,1).*1000.00 - 34.1000)./5.90000), 1.00000./3.00000); ALGEBRAIC(:,16) = 1.00000./(1.00000+exp(( - STATES(:,1).*1000.00 - 60.0000)./5.00000)); ALGEBRAIC(:,31) = 0.100000./(1.00000+exp(( STATES(:,1).*1000.00+35.0000)./5.00000))+0.100000./(1.00000+exp(( STATES(:,1).*1000.00 - 50.0000)./200.000)); ALGEBRAIC(:,41) = ( 1.00000.*( ALGEBRAIC(:,16).*ALGEBRAIC(:,31)))./1000.00; RATES(:,4) = (ALGEBRAIC(:,1) - STATES(:,4))./ALGEBRAIC(:,41); ALGEBRAIC(:,2) = 1.00000./power((1.00000+exp(( STATES(:,1).*1000.00+72.1000)./5.70000)), 1.0 ./ 2); ALGEBRAIC(:,17) = piecewise({STATES(:,1)< - 0.0400000, 0.0570000.*exp( - ( STATES(:,1).*1000.00+80.0000)./6.80000) }, 0.00000); ALGEBRAIC(:,32) = piecewise({STATES(:,1)< - 0.0400000, 2.70000.*exp( 0.0790000.*( STATES(:,1).*1000.00))+ 3.10000.*( power(10.0000, 5.00000).*exp( 0.348500.*( STATES(:,1).*1000.00))) }, 0.770000./( 0.130000.*(1.00000+exp(( STATES(:,1).*1000.00+10.6600)./ - 11.1000)))); ALGEBRAIC(:,42) = piecewise({STATES(:,1)< - 0.0400000, 1.50000./( (ALGEBRAIC(:,17)+ALGEBRAIC(:,32)).*1000.00) }, 2.54200./1000.00); RATES(:,5) = (ALGEBRAIC(:,2) - STATES(:,5))./ALGEBRAIC(:,42); ALGEBRAIC(:,3) = 1.00000./power((1.00000+exp(( STATES(:,1).*1000.00+72.1000)./5.70000)), 1.0 ./ 2); ALGEBRAIC(:,18) = piecewise({STATES(:,1)< - 0.0400000, ( ( - 25428.0.*exp( 0.244400.*( STATES(:,1).*1000.00)) - 6.94800.*( power(10.0000, - 6.00000).*exp( - 0.0439100.*( STATES(:,1).*1000.00)))).*( STATES(:,1).*1000.00+37.7800))./(1.00000+exp( 0.311000.*( STATES(:,1).*1000.00+79.2300))) }, 0.00000); ALGEBRAIC(:,33) = piecewise({STATES(:,1)< - 0.0400000, ( 0.0242400.*exp( - 0.0105200.*( STATES(:,1).*1000.00)))./(1.00000+exp( - 0.137800.*( STATES(:,1).*1000.00+40.1400))) }, ( 0.600000.*exp( 0.0570000.*( STATES(:,1).*1000.00)))./(1.00000+exp( - 0.100000.*( STATES(:,1).*1000.00+32.0000)))); ALGEBRAIC(:,43) = 7.00000./( (ALGEBRAIC(:,18)+ALGEBRAIC(:,33)).*1000.00); RATES(:,6) = (ALGEBRAIC(:,3) - STATES(:,6))./ALGEBRAIC(:,43); ALGEBRAIC(:,8) = 1.00000./(1.00000+exp((CONSTANTS(:,49) - STATES(:,1).*1000.00)./4.90000)); ALGEBRAIC(:,23) = 450.000./(1.00000+exp(( - 45.0000 - STATES(:,1).*1000.00)./10.0000)); ALGEBRAIC(:,37) = 6.00000./(1.00000+exp((30.0000+ STATES(:,1).*1000.00)./11.5000)); ALGEBRAIC(:,46) = ( 1.00000.*( ALGEBRAIC(:,23).*ALGEBRAIC(:,37)))./1000.00; RATES(:,11) = (ALGEBRAIC(:,8) - STATES(:,11))./ALGEBRAIC(:,46); ALGEBRAIC(:,9) = 1.00000./(1.00000+exp(( STATES(:,1).*1000.00+88.0000)./50.0000)); ALGEBRAIC(:,24) = 3.00000./(1.00000+exp(( - 60.0000 - STATES(:,1).*1000.00)./20.0000)); ALGEBRAIC(:,38) = 1.12000./(1.00000+exp(( - 60.0000+ STATES(:,1).*1000.00)./20.0000)); ALGEBRAIC(:,47) = ( 1.00000.*( ALGEBRAIC(:,24).*ALGEBRAIC(:,38)))./1000.00; RATES(:,12) = (ALGEBRAIC(:,9) - STATES(:,12))./ALGEBRAIC(:,47); ALGEBRAIC(:,10) = 1.00000./(1.00000+exp(( - STATES(:,1).*1000.00 - 20.0000)./16.0000)); ALGEBRAIC(:,25) = 1100.00./power((1.00000+exp(( - 10.0000 - STATES(:,1).*1000.00)./6.00000)), 1.0 ./ 2); ALGEBRAIC(:,39) = 1.00000./(1.00000+exp(( - 60.0000+ STATES(:,1).*1000.00)./20.0000)); ALGEBRAIC(:,48) = ( 1.00000.*( ALGEBRAIC(:,25).*ALGEBRAIC(:,39)))./1000.00; RATES(:,13) = (ALGEBRAIC(:,10) - STATES(:,13))./ALGEBRAIC(:,48); ALGEBRAIC(:,4) = 1.00000./(1.00000+exp( - ( STATES(:,1).*1000.00+5.98600)./7.00000)); ALGEBRAIC(:,19) = 0.250000+1.40000./(1.00000+exp(( - STATES(:,1).*1000.00 - 35.0000)./13.0000)); ALGEBRAIC(:,34) = 1.40000./(1.00000+exp(( STATES(:,1).*1000.00+5.00000)./5.00000)); ALGEBRAIC(:,44) = 1.00000./(1.00000+exp(( - STATES(:,1).*1000.00+50.0000)./20.0000)); ALGEBRAIC(:,50) = ( ( ALGEBRAIC(:,19).*ALGEBRAIC(:,34)+ALGEBRAIC(:,44)).*1.00000)./1000.00; RATES(:,7) = (ALGEBRAIC(:,4) - STATES(:,7))./ALGEBRAIC(:,50); ALGEBRAIC(:,7) = 1.00000./(1.00000+power(STATES(:,3)./0.000600000, 8.00000)); ALGEBRAIC(:,22) = 0.100000./(1.00000+exp((STATES(:,3) - 0.000900000)./0.000100000)); ALGEBRAIC(:,36) = 0.300000./(1.00000+exp((STATES(:,3) - 0.000750000)./0.000800000)); ALGEBRAIC(:,45) = (ALGEBRAIC(:,7)+(ALGEBRAIC(:,22)+ALGEBRAIC(:,36)))./1.31560; ALGEBRAIC(:,51) = piecewise({STATES(:,1)> - 0.0600000&ALGEBRAIC(:,45)>STATES(:,10), 0.00000 }, 1.00000); RATES(:,10) = ( ALGEBRAIC(:,51).*(ALGEBRAIC(:,45) - STATES(:,10)))./CONSTANTS(:,11); ALGEBRAIC(:,11) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,4)./STATES(:,2)); ALGEBRAIC(:,49) = CONSTANTS(:,9).*( power(STATES(:,4), 3.00000).*( STATES(:,5).*( STATES(:,6).*(STATES(:,1) - ALGEBRAIC(:,11))))); ALGEBRAIC(:,62) = (( (( CONSTANTS(:,23).*CONSTANTS(:,7))./(CONSTANTS(:,7)+CONSTANTS(:,21))).*STATES(:,2))./(STATES(:,2)+CONSTANTS(:,22)))./(1.00000+( 0.124500.*exp(( - 0.100000.*( STATES(:,1).*CONSTANTS(:,3)))./( CONSTANTS(:,1).*CONSTANTS(:,2)))+ 0.0353000.*exp(( - STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))); ALGEBRAIC(:,63) = ( CONSTANTS(:,24).*( exp(( CONSTANTS(:,26).*( STATES(:,1).*CONSTANTS(:,3)))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( power(STATES(:,2), 3.00000).*CONSTANTS(:,5)) - exp(( (CONSTANTS(:,26) - 1.00000).*( STATES(:,1).*CONSTANTS(:,3)))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( power(CONSTANTS(:,4), 3.00000).*( STATES(:,3).*CONSTANTS(:,25)))))./( (power(CONSTANTS(:,29), 3.00000)+power(CONSTANTS(:,4), 3.00000)).*( (CONSTANTS(:,28)+CONSTANTS(:,5)).*(1.00000+ CONSTANTS(:,27).*exp(( (CONSTANTS(:,26) - 1.00000).*( STATES(:,1).*CONSTANTS(:,3)))./( CONSTANTS(:,1).*CONSTANTS(:,2)))))); ALGEBRAIC(:,60) = CONSTANTS(:,19).*(STATES(:,1) - ALGEBRAIC(:,11)); RATES(:,2) = ( - CONSTANTS(:,33).*(ALGEBRAIC(:,49)+(ALGEBRAIC(:,60)+( 3.00000.*ALGEBRAIC(:,62)+ 3.00000.*ALGEBRAIC(:,63)))))./( CONSTANTS(:,3).*( CONSTANTS(:,34).*1.00000e-18)); ALGEBRAIC(:,52) = (( (( CONSTANTS(:,10).*( 4.00000.*( STATES(:,1).*power(CONSTANTS(:,3), 2.00000))))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( STATES(:,3).*exp(( 2.00000.*( STATES(:,1).*CONSTANTS(:,3)))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 0.341000.*CONSTANTS(:,5)))./(exp(( 2.00000.*( STATES(:,1).*CONSTANTS(:,3)))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000)).*( STATES(:,7).*( STATES(:,8).*( STATES(:,9).*STATES(:,10)))); ALGEBRAIC(:,55) = 3.91000./(1.00000+exp( 0.594200.*(( STATES(:,1).*1000.00 - CONSTANTS(:,47).*1000.00) - 200.000))); ALGEBRAIC(:,56) = ( - 1.50900.*exp( 0.000200000.*(( STATES(:,1).*1000.00 - CONSTANTS(:,47).*1000.00)+100.000))+exp( 0.588600.*(( STATES(:,1).*1000.00 - CONSTANTS(:,47).*1000.00) - 10.0000)))./(1.00000+exp( 0.454700.*( STATES(:,1).*1000.00 - CONSTANTS(:,47).*1000.00))); ALGEBRAIC(:,57) = ALGEBRAIC(:,55)./(ALGEBRAIC(:,55)+ALGEBRAIC(:,56)); ALGEBRAIC(:,58) = CONSTANTS(:,16).*( ALGEBRAIC(:,57).*( (STATES(:,1) - CONSTANTS(:,47)).*power((CONSTANTS(:,7)./5.40000), 1.0 ./ 2))); ALGEBRAIC(:,59) = CONSTANTS(:,17).*( STATES(:,14).*(STATES(:,1) - CONSTANTS(:,18))); ALGEBRAIC(:,53) = CONSTANTS(:,12).*( (STATES(:,1) - CONSTANTS(:,47)).*( STATES(:,11).*( STATES(:,12).*power((CONSTANTS(:,7)./5.40000), 1.0 ./ 2)))); ALGEBRAIC(:,26) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log((CONSTANTS(:,7)+ CONSTANTS(:,8).*CONSTANTS(:,4))./(CONSTANTS(:,6)+ CONSTANTS(:,8).*STATES(:,2))); ALGEBRAIC(:,54) = CONSTANTS(:,15).*( (STATES(:,1) - ALGEBRAIC(:,26)).*( power(STATES(:,13), 2.00000).*(1.00000+0.600000./(1.00000+power(( 3.80000.*1.00000e-05)./STATES(:,3), 1.40000))))); ALGEBRAIC(:,65) = CONSTANTS(:,32).*( (STATES(:,1) - CONSTANTS(:,47)).*( STATES(:,15).*STATES(:,16))); ALGEBRAIC(:,64) = ( CONSTANTS(:,30).*STATES(:,3))./(STATES(:,3)+CONSTANTS(:,31)); ALGEBRAIC(:,40) = (( 0.500000.*( CONSTANTS(:,1).*CONSTANTS(:,2)))./CONSTANTS(:,3)).*log(CONSTANTS(:,5)./STATES(:,3)); ALGEBRAIC(:,61) = CONSTANTS(:,20).*(STATES(:,1) - ALGEBRAIC(:,40)); RATES(:,1) = - (ALGEBRAIC(:,58)+(ALGEBRAIC(:,65)+(ALGEBRAIC(:,53)+(ALGEBRAIC(:,54)+(ALGEBRAIC(:,52)+(ALGEBRAIC(:,62)+(ALGEBRAIC(:,49)+(ALGEBRAIC(:,63)+(ALGEBRAIC(:,64)+(ALGEBRAIC(:,59)+(ALGEBRAIC(:,60)+ALGEBRAIC(:,61)))))))))))); ALGEBRAIC(:,69) = 1.00000./(1.00000+( CONSTANTS(:,41).*CONSTANTS(:,43))./power(STATES(:,3)+CONSTANTS(:,43), 2.00000)); ALGEBRAIC(:,66) = (CONSTANTS(:,38)+( CONSTANTS(:,36).*power(STATES(:,17), 2.00000))./(power(CONSTANTS(:,37), 2.00000)+power(STATES(:,17), 2.00000))).*( STATES(:,7).*( STATES(:,18).*0.0556000)); ALGEBRAIC(:,67) = CONSTANTS(:,45)./(1.00000+power(CONSTANTS(:,40), 2.00000)./power(STATES(:,3), 2.00000)); ALGEBRAIC(:,68) = (STATES(:,17) - STATES(:,3)).*CONSTANTS(:,46); RATES(:,3) = ALGEBRAIC(:,69).*(((ALGEBRAIC(:,68) - ALGEBRAIC(:,67))+ALGEBRAIC(:,66)) - ( ((ALGEBRAIC(:,52)+(ALGEBRAIC(:,61)+ALGEBRAIC(:,64))) - 2.00000.*ALGEBRAIC(:,63)).*CONSTANTS(:,33))./( 2.00000.*( CONSTANTS(:,34).*( CONSTANTS(:,3).*1.00000e-18)))); ALGEBRAIC(:,70) = 1.00000./(1.00000+( CONSTANTS(:,42).*CONSTANTS(:,44))./power(STATES(:,17)+CONSTANTS(:,44), 2.00000)); RATES(:,17) = (( ALGEBRAIC(:,70).*CONSTANTS(:,34))./CONSTANTS(:,35)).*(ALGEBRAIC(:,67) - (ALGEBRAIC(:,66)+ALGEBRAIC(:,68))); 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(:,6) = 0.330000+0.670000./(1.00000+exp(( STATES(:,1).*1000.00+31.2260)./4.00000)); ALGEBRAIC(:,21) = ( ( 600.000.*exp( - power( STATES(:,1).*1000.00+25.0000, 2.00000)./170.000)+(31.0000./(1.00000+exp((25.0000 - STATES(:,1).*1000.00)./10.0000))+16.0000./(1.00000+exp((30.0000+ STATES(:,1).*1000.00)./10.0000)))).*CONSTANTS(:,48))./1000.00; ALGEBRAIC(:,12) = 1.00000./(1.00000+exp(( STATES(:,1).*1000.00+77.8500)./5.00000)); ALGEBRAIC(:,27) = (1900.00./(1.00000+exp(( STATES(:,1).*1000.00+15.0000)./10.0000)))./1000.00; ALGEBRAIC(:,13) = 1.00000./(1.00000+exp(( STATES(:,1).*1000.00+53.0000)./13.0000)); ALGEBRAIC(:,28) = (6.06000+39.1020./( 0.570000.*exp( - 0.0800000.*( STATES(:,1).*1000.00+44.0000))+ 0.0650000.*exp( 0.100000.*( STATES(:,1).*1000.00+45.9300))))./1000.00; ALGEBRAIC(:,14) = 1.00000./(1.00000+exp( - ( STATES(:,1).*1000.00 - 22.3000)./18.7500)); ALGEBRAIC(:,29) = (2.75352+14.4052./( 1.03700.*exp( 0.0900000.*( STATES(:,1).*1000.00+30.6100))+ 0.369000.*exp( - 0.120000.*( STATES(:,1).*1000.00+23.8400))))./1000.00; ALGEBRAIC(:,15) = piecewise({STATES(:,3)<=0.000350000, 1.00000./(1.00000+power(STATES(:,3)./0.000350000, 6.00000)) }, 1.00000./(1.00000+power(STATES(:,3)./0.000350000, 16.0000))); ALGEBRAIC(:,30) = piecewise({ALGEBRAIC(:,15)>STATES(:,18)&STATES(:,1)> - 0.0600000, 0.00000 }, 1.00000); ALGEBRAIC(:,5) = 1.00000./(1.00000+exp(( STATES(:,1).*1000.00+25.2260)./3.00000)); ALGEBRAIC(:,20) = piecewise({ALGEBRAIC(:,5) - STATES(:,8)>0.00000, 1.00000+ 1433.00.*(STATES(:,3) - 50.0000.*1.00000e-06) }, 1.00000); ALGEBRAIC(:,35) = ( (20.0000+( 1102.50.*exp( - power(power( STATES(:,1).*1000.00+27.0000, 2.00000)./15.0000, 2.00000))+(200.000./(1.00000+exp((13.0000 - STATES(:,1).*1000.00)./10.0000))+180.000./(1.00000+exp((30.0000+ STATES(:,1).*1000.00)./10.0000))))).*ALGEBRAIC(:,20))./1000.00; ALGEBRAIC(:,1) = 1.00000./power(1.00000+exp(( - STATES(:,1).*1000.00 - 34.1000)./5.90000), 1.00000./3.00000); ALGEBRAIC(:,16) = 1.00000./(1.00000+exp(( - STATES(:,1).*1000.00 - 60.0000)./5.00000)); ALGEBRAIC(:,31) = 0.100000./(1.00000+exp(( STATES(:,1).*1000.00+35.0000)./5.00000))+0.100000./(1.00000+exp(( STATES(:,1).*1000.00 - 50.0000)./200.000)); ALGEBRAIC(:,41) = ( 1.00000.*( ALGEBRAIC(:,16).*ALGEBRAIC(:,31)))./1000.00; ALGEBRAIC(:,2) = 1.00000./power((1.00000+exp(( STATES(:,1).*1000.00+72.1000)./5.70000)), 1.0 ./ 2); ALGEBRAIC(:,17) = piecewise({STATES(:,1)< - 0.0400000, 0.0570000.*exp( - ( STATES(:,1).*1000.00+80.0000)./6.80000) }, 0.00000); ALGEBRAIC(:,32) = piecewise({STATES(:,1)< - 0.0400000, 2.70000.*exp( 0.0790000.*( STATES(:,1).*1000.00))+ 3.10000.*( power(10.0000, 5.00000).*exp( 0.348500.*( STATES(:,1).*1000.00))) }, 0.770000./( 0.130000.*(1.00000+exp(( STATES(:,1).*1000.00+10.6600)./ - 11.1000)))); ALGEBRAIC(:,42) = piecewise({STATES(:,1)< - 0.0400000, 1.50000./( (ALGEBRAIC(:,17)+ALGEBRAIC(:,32)).*1000.00) }, 2.54200./1000.00); ALGEBRAIC(:,3) = 1.00000./power((1.00000+exp(( STATES(:,1).*1000.00+72.1000)./5.70000)), 1.0 ./ 2); ALGEBRAIC(:,18) = piecewise({STATES(:,1)< - 0.0400000, ( ( - 25428.0.*exp( 0.244400.*( STATES(:,1).*1000.00)) - 6.94800.*( power(10.0000, - 6.00000).*exp( - 0.0439100.*( STATES(:,1).*1000.00)))).*( STATES(:,1).*1000.00+37.7800))./(1.00000+exp( 0.311000.*( STATES(:,1).*1000.00+79.2300))) }, 0.00000); ALGEBRAIC(:,33) = piecewise({STATES(:,1)< - 0.0400000, ( 0.0242400.*exp( - 0.0105200.*( STATES(:,1).*1000.00)))./(1.00000+exp( - 0.137800.*( STATES(:,1).*1000.00+40.1400))) }, ( 0.600000.*exp( 0.0570000.*( STATES(:,1).*1000.00)))./(1.00000+exp( - 0.100000.*( STATES(:,1).*1000.00+32.0000)))); ALGEBRAIC(:,43) = 7.00000./( (ALGEBRAIC(:,18)+ALGEBRAIC(:,33)).*1000.00); ALGEBRAIC(:,8) = 1.00000./(1.00000+exp((CONSTANTS(:,49) - STATES(:,1).*1000.00)./4.90000)); ALGEBRAIC(:,23) = 450.000./(1.00000+exp(( - 45.0000 - STATES(:,1).*1000.00)./10.0000)); ALGEBRAIC(:,37) = 6.00000./(1.00000+exp((30.0000+ STATES(:,1).*1000.00)./11.5000)); ALGEBRAIC(:,46) = ( 1.00000.*( ALGEBRAIC(:,23).*ALGEBRAIC(:,37)))./1000.00; ALGEBRAIC(:,9) = 1.00000./(1.00000+exp(( STATES(:,1).*1000.00+88.0000)./50.0000)); ALGEBRAIC(:,24) = 3.00000./(1.00000+exp(( - 60.0000 - STATES(:,1).*1000.00)./20.0000)); ALGEBRAIC(:,38) = 1.12000./(1.00000+exp(( - 60.0000+ STATES(:,1).*1000.00)./20.0000)); ALGEBRAIC(:,47) = ( 1.00000.*( ALGEBRAIC(:,24).*ALGEBRAIC(:,38)))./1000.00; ALGEBRAIC(:,10) = 1.00000./(1.00000+exp(( - STATES(:,1).*1000.00 - 20.0000)./16.0000)); ALGEBRAIC(:,25) = 1100.00./power((1.00000+exp(( - 10.0000 - STATES(:,1).*1000.00)./6.00000)), 1.0 ./ 2); ALGEBRAIC(:,39) = 1.00000./(1.00000+exp(( - 60.0000+ STATES(:,1).*1000.00)./20.0000)); ALGEBRAIC(:,48) = ( 1.00000.*( ALGEBRAIC(:,25).*ALGEBRAIC(:,39)))./1000.00; ALGEBRAIC(:,4) = 1.00000./(1.00000+exp( - ( STATES(:,1).*1000.00+5.98600)./7.00000)); ALGEBRAIC(:,19) = 0.250000+1.40000./(1.00000+exp(( - STATES(:,1).*1000.00 - 35.0000)./13.0000)); ALGEBRAIC(:,34) = 1.40000./(1.00000+exp(( STATES(:,1).*1000.00+5.00000)./5.00000)); ALGEBRAIC(:,44) = 1.00000./(1.00000+exp(( - STATES(:,1).*1000.00+50.0000)./20.0000)); ALGEBRAIC(:,50) = ( ( ALGEBRAIC(:,19).*ALGEBRAIC(:,34)+ALGEBRAIC(:,44)).*1.00000)./1000.00; ALGEBRAIC(:,7) = 1.00000./(1.00000+power(STATES(:,3)./0.000600000, 8.00000)); ALGEBRAIC(:,22) = 0.100000./(1.00000+exp((STATES(:,3) - 0.000900000)./0.000100000)); ALGEBRAIC(:,36) = 0.300000./(1.00000+exp((STATES(:,3) - 0.000750000)./0.000800000)); ALGEBRAIC(:,45) = (ALGEBRAIC(:,7)+(ALGEBRAIC(:,22)+ALGEBRAIC(:,36)))./1.31560; ALGEBRAIC(:,51) = piecewise({STATES(:,1)> - 0.0600000&ALGEBRAIC(:,45)>STATES(:,10), 0.00000 }, 1.00000); ALGEBRAIC(:,11) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,4)./STATES(:,2)); ALGEBRAIC(:,49) = CONSTANTS(:,9).*( power(STATES(:,4), 3.00000).*( STATES(:,5).*( STATES(:,6).*(STATES(:,1) - ALGEBRAIC(:,11))))); ALGEBRAIC(:,62) = (( (( CONSTANTS(:,23).*CONSTANTS(:,7))./(CONSTANTS(:,7)+CONSTANTS(:,21))).*STATES(:,2))./(STATES(:,2)+CONSTANTS(:,22)))./(1.00000+( 0.124500.*exp(( - 0.100000.*( STATES(:,1).*CONSTANTS(:,3)))./( CONSTANTS(:,1).*CONSTANTS(:,2)))+ 0.0353000.*exp(( - STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))); ALGEBRAIC(:,63) = ( CONSTANTS(:,24).*( exp(( CONSTANTS(:,26).*( STATES(:,1).*CONSTANTS(:,3)))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( power(STATES(:,2), 3.00000).*CONSTANTS(:,5)) - exp(( (CONSTANTS(:,26) - 1.00000).*( STATES(:,1).*CONSTANTS(:,3)))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( power(CONSTANTS(:,4), 3.00000).*( STATES(:,3).*CONSTANTS(:,25)))))./( (power(CONSTANTS(:,29), 3.00000)+power(CONSTANTS(:,4), 3.00000)).*( (CONSTANTS(:,28)+CONSTANTS(:,5)).*(1.00000+ CONSTANTS(:,27).*exp(( (CONSTANTS(:,26) - 1.00000).*( STATES(:,1).*CONSTANTS(:,3)))./( CONSTANTS(:,1).*CONSTANTS(:,2)))))); ALGEBRAIC(:,60) = CONSTANTS(:,19).*(STATES(:,1) - ALGEBRAIC(:,11)); ALGEBRAIC(:,52) = (( (( CONSTANTS(:,10).*( 4.00000.*( STATES(:,1).*power(CONSTANTS(:,3), 2.00000))))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*( STATES(:,3).*exp(( 2.00000.*( STATES(:,1).*CONSTANTS(:,3)))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 0.341000.*CONSTANTS(:,5)))./(exp(( 2.00000.*( STATES(:,1).*CONSTANTS(:,3)))./( CONSTANTS(:,1).*CONSTANTS(:,2))) - 1.00000)).*( STATES(:,7).*( STATES(:,8).*( STATES(:,9).*STATES(:,10)))); ALGEBRAIC(:,55) = 3.91000./(1.00000+exp( 0.594200.*(( STATES(:,1).*1000.00 - CONSTANTS(:,47).*1000.00) - 200.000))); ALGEBRAIC(:,56) = ( - 1.50900.*exp( 0.000200000.*(( STATES(:,1).*1000.00 - CONSTANTS(:,47).*1000.00)+100.000))+exp( 0.588600.*(( STATES(:,1).*1000.00 - CONSTANTS(:,47).*1000.00) - 10.0000)))./(1.00000+exp( 0.454700.*( STATES(:,1).*1000.00 - CONSTANTS(:,47).*1000.00))); ALGEBRAIC(:,57) = ALGEBRAIC(:,55)./(ALGEBRAIC(:,55)+ALGEBRAIC(:,56)); ALGEBRAIC(:,58) = CONSTANTS(:,16).*( ALGEBRAIC(:,57).*( (STATES(:,1) - CONSTANTS(:,47)).*power((CONSTANTS(:,7)./5.40000), 1.0 ./ 2))); ALGEBRAIC(:,59) = CONSTANTS(:,17).*( STATES(:,14).*(STATES(:,1) - CONSTANTS(:,18))); ALGEBRAIC(:,53) = CONSTANTS(:,12).*( (STATES(:,1) - CONSTANTS(:,47)).*( STATES(:,11).*( STATES(:,12).*power((CONSTANTS(:,7)./5.40000), 1.0 ./ 2)))); ALGEBRAIC(:,26) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log((CONSTANTS(:,7)+ CONSTANTS(:,8).*CONSTANTS(:,4))./(CONSTANTS(:,6)+ CONSTANTS(:,8).*STATES(:,2))); ALGEBRAIC(:,54) = CONSTANTS(:,15).*( (STATES(:,1) - ALGEBRAIC(:,26)).*( power(STATES(:,13), 2.00000).*(1.00000+0.600000./(1.00000+power(( 3.80000.*1.00000e-05)./STATES(:,3), 1.40000))))); ALGEBRAIC(:,65) = CONSTANTS(:,32).*( (STATES(:,1) - CONSTANTS(:,47)).*( STATES(:,15).*STATES(:,16))); ALGEBRAIC(:,64) = ( CONSTANTS(:,30).*STATES(:,3))./(STATES(:,3)+CONSTANTS(:,31)); ALGEBRAIC(:,40) = (( 0.500000.*( CONSTANTS(:,1).*CONSTANTS(:,2)))./CONSTANTS(:,3)).*log(CONSTANTS(:,5)./STATES(:,3)); ALGEBRAIC(:,61) = CONSTANTS(:,20).*(STATES(:,1) - ALGEBRAIC(:,40)); ALGEBRAIC(:,69) = 1.00000./(1.00000+( CONSTANTS(:,41).*CONSTANTS(:,43))./power(STATES(:,3)+CONSTANTS(:,43), 2.00000)); ALGEBRAIC(:,66) = (CONSTANTS(:,38)+( CONSTANTS(:,36).*power(STATES(:,17), 2.00000))./(power(CONSTANTS(:,37), 2.00000)+power(STATES(:,17), 2.00000))).*( STATES(:,7).*( STATES(:,18).*0.0556000)); ALGEBRAIC(:,67) = CONSTANTS(:,45)./(1.00000+power(CONSTANTS(:,40), 2.00000)./power(STATES(:,3), 2.00000)); ALGEBRAIC(:,68) = (STATES(:,17) - STATES(:,3)).*CONSTANTS(:,46); ALGEBRAIC(:,70) = 1.00000./(1.00000+( CONSTANTS(:,42).*CONSTANTS(:,44))./power(STATES(:,17)+CONSTANTS(:,44), 2.00000)); end % Compute result of a piecewise function function x = piecewise(cases, default) set = [0]; for i = 1:2:length(cases) if (length(cases{i+1}) == 1) x(cases{i} & ~set,:) = cases{i+1}; else x(cases{i} & ~set,:) = cases{i+1}(cases{i} & ~set); end set = set | cases{i}; if(set), break, end end if (length(default) == 1) x(~set,:) = default; else x(~set,:) = default(~set); end end % Pad out or shorten strings to a set length function strout = strpad(strin) req_length = 160; insize = size(strin,2); if insize > req_length strout = strin(1:req_length); else strout = [strin, blanks(req_length - insize)]; end end