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 =73; end % There are a total of 31 entries in each of the rate and state variable arrays. % There are a total of 102 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_CONSTANTS(:,1) = strpad('Aca_IC50_IKr in component acacetin (uM)'); LEGEND_CONSTANTS(:,2) = strpad('Aca_IC50_IKs in component acacetin (uM)'); LEGEND_CONSTANTS(:,3) = strpad('Aca_IC50_Ito in component acacetin (uM)'); LEGEND_CONSTANTS(:,4) = strpad('Aca_hill_IKr in component acacetin (dimensionless)'); LEGEND_CONSTANTS(:,5) = strpad('Aca_hill_IKs in component acacetin (dimensionless)'); LEGEND_CONSTANTS(:,6) = strpad('Aca_hill_Ito in component acacetin (dimensionless)'); LEGEND_CONSTANTS(:,7) = strpad('conc in component acacetin (uM)'); LEGEND_CONSTANTS(:,63) = strpad('fKr in component acacetin (dimensionless)'); LEGEND_CONSTANTS(:,64) = strpad('fKs in component acacetin (dimensionless)'); LEGEND_CONSTANTS(:,65) = strpad('fto in component acacetin (dimensionless)'); LEGEND_CONSTANTS(:,8) = strpad('af in component af (dimensionless)'); LEGEND_CONSTANTS(:,9) = strpad('Aj_nj in component cell (um2)'); LEGEND_CONSTANTS(:,10) = strpad('BCa in component calcium (mM)'); LEGEND_CONSTANTS(:,11) = strpad('CSQN in component calcium (mM)'); LEGEND_STATES(:,1) = strpad('Ca_SRi in component calcium (mM)'); LEGEND_STATES(:,2) = strpad('Ca_SRss in component calcium (mM)'); LEGEND_STATES(:,3) = strpad('Ca_i in component calcium (mM)'); LEGEND_STATES(:,4) = strpad('Ca_ss in component calcium (mM)'); LEGEND_CONSTANTS(:,12) = strpad('DCa in component calcium (m2_per_s_times_1e_minus_9)'); LEGEND_CONSTANTS(:,13) = strpad('DCaSR in component calcium (m2_per_s_times_1e_minus_9)'); LEGEND_CONSTANTS(:,14) = strpad('F in component phys (C_per_mmol)'); LEGEND_ALGEBRAIC(:,45) = strpad('ICaL in component ical (pA)'); LEGEND_ALGEBRAIC(:,47) = strpad('ICap in component icap (pA)'); LEGEND_ALGEBRAIC(:,49) = strpad('INaCa in component inaca (pA)'); LEGEND_ALGEBRAIC(:,56) = strpad('I_tot in component calcium (pA)'); LEGEND_ALGEBRAIC(:,55) = strpad('IbCa in component ibca (pA)'); LEGEND_ALGEBRAIC(:,51) = strpad('JCa in component calcium (kat_times_1e_minus_15)'); LEGEND_ALGEBRAIC(:,67) = strpad('JCass in component calcium (kat_times_1e_minus_15)'); LEGEND_ALGEBRAIC(:,65) = strpad('JSRCaSS in component calcium (kat_times_1e_minus_15)'); LEGEND_ALGEBRAIC(:,50) = strpad('JSRCai in component calcium (kat_times_1e_minus_15)'); LEGEND_ALGEBRAIC(:,1) = strpad('JSRCaleaki in component calcium (kat_times_1e_minus_15)'); LEGEND_ALGEBRAIC(:,20) = strpad('JSRCaleakss in component calcium (kat_times_1e_minus_15)'); LEGEND_ALGEBRAIC(:,46) = strpad('J_SERCASR in component serca (kat_times_1e_minus_15)'); LEGEND_ALGEBRAIC(:,62) = strpad('J_SERCASRss in component serca (kat_times_1e_minus_15)'); LEGEND_ALGEBRAIC(:,48) = strpad('J_bulkSERCA in component serca (kat_times_1e_minus_15)'); LEGEND_ALGEBRAIC(:,64) = strpad('J_bulkSERCAss in component serca (kat_times_1e_minus_15)'); LEGEND_ALGEBRAIC(:,32) = strpad('Jj_nj in component calcium (kat_times_1e_minus_15)'); LEGEND_ALGEBRAIC(:,44) = strpad('Jreli in component ryr (kat_times_1e_minus_15)'); LEGEND_ALGEBRAIC(:,60) = strpad('Jrelss in component ryr (kat_times_1e_minus_15)'); LEGEND_CONSTANTS(:,15) = strpad('KdBCa in component calcium (mM)'); LEGEND_CONSTANTS(:,16) = strpad('KdCSQN in component calcium (mM)'); LEGEND_CONSTANTS(:,17) = strpad('KdSLhigh in component calcium (mM)'); LEGEND_CONSTANTS(:,18) = strpad('KdSLlow in component calcium (mM)'); LEGEND_CONSTANTS(:,19) = strpad('SLhigh in component calcium (mM)'); LEGEND_CONSTANTS(:,20) = strpad('SLlow in component calcium (mM)'); LEGEND_CONSTANTS(:,67) = strpad('VSRi in component cell (um3)'); LEGEND_CONSTANTS(:,68) = strpad('VSRss in component cell (um3)'); LEGEND_CONSTANTS(:,66) = strpad('Vnj in component cell (um3)'); LEGEND_CONSTANTS(:,94) = strpad('Vss in component cell (um3)'); LEGEND_ALGEBRAIC(:,36) = strpad('calcium_Ca_SRi_beta in component calcium (dimensionless)'); LEGEND_ALGEBRAIC(:,37) = strpad('calcium_Ca_SRss_beta in component calcium (dimensionless)'); LEGEND_ALGEBRAIC(:,40) = strpad('calcium_Ca_i_beta in component calcium (dimensionless)'); LEGEND_ALGEBRAIC(:,41) = strpad('calcium_Ca_ss_beta in component calcium (dimensionless)'); LEGEND_CONSTANTS(:,69) = strpad('dx2 in component cell (um2)'); LEGEND_CONSTANTS(:,21) = strpad('kSRleak in component calcium (mS_per_uF)'); LEGEND_CONSTANTS(:,70) = strpad('scaling in component calcium (dimensionless)'); LEGEND_VOI = strpad('time in component engine (ms)'); LEGEND_CONSTANTS(:,22) = strpad('xj_nj in component cell (um)'); LEGEND_CONSTANTS(:,23) = strpad('Cm in component cell (pF)'); LEGEND_CONSTANTS(:,24) = strpad('Vi in component cell (um3)'); LEGEND_CONSTANTS(:,25) = strpad('dx in component cell (um)'); LEGEND_CONSTANTS(:,26) = strpad('duration in component engine (ms)'); LEGEND_CONSTANTS(:,27) = strpad('offset in component engine (ms)'); LEGEND_ALGEBRAIC(:,43) = strpad('pace in component engine (dimensionless)'); LEGEND_CONSTANTS(:,28) = strpad('period in component engine (ms)'); LEGEND_ALGEBRAIC(:,54) = strpad('ECa in component nernst (mV)'); LEGEND_STATES(:,5) = strpad('V in component membrane (mV)'); LEGEND_CONSTANTS(:,71) = strpad('gbCa in component ibca (mS_per_uF)'); LEGEND_ALGEBRAIC(:,69) = strpad('ENa in component nernst (mV)'); LEGEND_ALGEBRAIC(:,70) = strpad('IbNa in component ibna (pA)'); LEGEND_CONSTANTS(:,72) = strpad('gbNa in component ibna (mS_per_uF)'); LEGEND_CONSTANTS(:,29) = strpad('ErL in component ical (mV)'); LEGEND_STATES(:,6) = strpad('d in component ical (dimensionless)'); LEGEND_STATES(:,7) = strpad('f in component ical (dimensionless)'); LEGEND_STATES(:,8) = strpad('fca in component ical (dimensionless)'); LEGEND_CONSTANTS(:,73) = strpad('gCaL in component ical (mS_per_uF)'); LEGEND_ALGEBRAIC(:,2) = strpad('ical_d_a in component ical (ms)'); LEGEND_ALGEBRAIC(:,21) = strpad('ical_d_inf in component ical (dimensionless)'); LEGEND_ALGEBRAIC(:,33) = strpad('ical_d_tau in component ical (ms)'); LEGEND_ALGEBRAIC(:,3) = strpad('ical_f_inf in component ical (dimensionless)'); LEGEND_ALGEBRAIC(:,22) = strpad('ical_f_tau in component ical (ms)'); LEGEND_ALGEBRAIC(:,4) = strpad('ical_fca_inf in component ical (dimensionless)'); LEGEND_CONSTANTS(:,30) = strpad('ical_fca_tau in component ical (ms)'); LEGEND_CONSTANTS(:,31) = strpad('icapbar in component icap (A_per_F)'); LEGEND_CONSTANTS(:,32) = strpad('kmcap in component icap (mM)'); LEGEND_ALGEBRAIC(:,57) = strpad('EK in component nernst (mV)'); LEGEND_ALGEBRAIC(:,59) = strpad('IK1 in component ik1 (pA)'); LEGEND_CONSTANTS(:,74) = strpad('gK1 in component ik1 (mS_per_uF)'); LEGEND_ALGEBRAIC(:,61) = strpad('IKr in component ikr (pA)'); LEGEND_CONSTANTS(:,75) = strpad('gKr in component ikr (mS_per_uF)'); LEGEND_ALGEBRAIC(:,5) = strpad('ikr_xr_a in component ikr (mS_per_uF)'); LEGEND_ALGEBRAIC(:,23) = strpad('ikr_xr_b in component ikr (mS_per_uF)'); LEGEND_ALGEBRAIC(:,34) = strpad('ikr_xr_inf in component ikr (dimensionless)'); LEGEND_ALGEBRAIC(:,38) = strpad('ikr_xr_tau in component ikr (ms)'); LEGEND_STATES(:,9) = strpad('xr in component ikr (dimensionless)'); LEGEND_ALGEBRAIC(:,63) = strpad('IKs in component iks (pA)'); LEGEND_CONSTANTS(:,76) = strpad('gKs in component iks (mS_per_uF)'); LEGEND_ALGEBRAIC(:,6) = strpad('iks_xs_a in component iks (mS_per_uF)'); LEGEND_ALGEBRAIC(:,24) = strpad('iks_xs_b in component iks (mS_per_uF)'); LEGEND_ALGEBRAIC(:,35) = strpad('iks_xs_inf in component iks (dimensionless)'); LEGEND_ALGEBRAIC(:,39) = strpad('iks_xs_tau in component iks (ms)'); LEGEND_STATES(:,10) = strpad('xs in component iks (dimensionless)'); LEGEND_STATES(:,11) = strpad('BC in component ikur (dimensionless)'); LEGEND_STATES(:,12) = strpad('BO in component ikur (dimensionless)'); LEGEND_CONSTANTS(:,77) = strpad('FRT in component phys (per_mV)'); LEGEND_ALGEBRAIC(:,66) = strpad('IKur in component ikur (pA)'); LEGEND_CONSTANTS(:,33) = strpad('KC in component ikur (m3_per_s_per_mol_times_1e6)'); LEGEND_CONSTANTS(:,34) = strpad('KO in component ikur (m3_per_s_per_mol_times_1e6)'); LEGEND_CONSTANTS(:,35) = strpad('K_Q10 in component ikur (dimensionless)'); LEGEND_CONSTANTS(:,36) = strpad('LC in component ikur (mS_per_uF)'); LEGEND_CONSTANTS(:,37) = strpad('LO in component ikur (mS_per_uF)'); LEGEND_CONSTANTS(:,78) = strpad('ZKC in component ikur (dimensionless)'); LEGEND_CONSTANTS(:,79) = strpad('ZKO in component ikur (dimensionless)'); LEGEND_CONSTANTS(:,38) = strpad('ZLC in component ikur (dimensionless)'); LEGEND_CONSTANTS(:,80) = strpad('ZLO in component ikur (dimensionless)'); LEGEND_STATES(:,13) = strpad('a in component ikur (dimensionless)'); LEGEND_CONSTANTS(:,81) = strpad('gKur in component ikur (mS_per_uF)'); LEGEND_STATES(:,14) = strpad('i in component ikur (dimensionless)'); LEGEND_ALGEBRAIC(:,7) = strpad('ikur_a_inf in component ikur (dimensionless)'); LEGEND_ALGEBRAIC(:,25) = strpad('ikur_a_tau in component ikur (ms)'); LEGEND_ALGEBRAIC(:,8) = strpad('ikur_i_inf in component ikur (dimensionless)'); LEGEND_ALGEBRAIC(:,26) = strpad('ikur_i_tau in component ikur (ms)'); LEGEND_STATES(:,15) = strpad('BA in component ina (dimensionless)'); LEGEND_STATES(:,16) = strpad('BI in component ina (dimensionless)'); LEGEND_ALGEBRAIC(:,71) = strpad('INa in component ina (pA)'); LEGEND_CONSTANTS(:,82) = strpad('drug_Ka in component ina (m3_per_s_per_mol_times_1e6)'); LEGEND_CONSTANTS(:,83) = strpad('drug_Ki in component ina (m3_per_s_per_mol_times_1e6)'); LEGEND_CONSTANTS(:,39) = strpad('drug_La in component ina (mS_per_uF)'); LEGEND_CONSTANTS(:,40) = strpad('drug_Li in component ina (mS_per_uF)'); LEGEND_CONSTANTS(:,41) = strpad('drug_concen in component ina (uM)'); LEGEND_CONSTANTS(:,42) = strpad('gNa in component ina (mS_per_uF)'); LEGEND_STATES(:,17) = strpad('h in component ina (dimensionless)'); LEGEND_ALGEBRAIC(:,9) = strpad('ina_h_alpha in component ina (mS_per_uF)'); LEGEND_ALGEBRAIC(:,27) = strpad('ina_h_beta in component ina (mS_per_uF)'); LEGEND_ALGEBRAIC(:,10) = strpad('ina_j_alpha in component ina (mS_per_uF)'); LEGEND_ALGEBRAIC(:,28) = strpad('ina_j_beta in component ina (mS_per_uF)'); LEGEND_ALGEBRAIC(:,11) = strpad('ina_m_alpha in component ina (mS_per_uF)'); LEGEND_ALGEBRAIC(:,29) = strpad('ina_m_beta in component ina (mS_per_uF)'); LEGEND_CONSTANTS(:,84) = strpad('ina_m_shift in component ina (mV)'); LEGEND_STATES(:,18) = strpad('j in component ina (dimensionless)'); LEGEND_STATES(:,19) = strpad('m in component ina (dimensionless)'); LEGEND_CONSTANTS(:,43) = strpad('Ca_o in component ion (mM)'); LEGEND_STATES(:,20) = strpad('Na_i in component sodium (mM)'); LEGEND_CONSTANTS(:,44) = strpad('Na_o in component ion (mM)'); LEGEND_CONSTANTS(:,45) = strpad('gammalr in component inaca (dimensionless)'); LEGEND_CONSTANTS(:,46) = strpad('kmcalr in component inaca (mM)'); LEGEND_CONSTANTS(:,47) = strpad('kmnalr in component inaca (mM)'); LEGEND_CONSTANTS(:,48) = strpad('knacalr in component inaca (A_per_F)'); LEGEND_CONSTANTS(:,49) = strpad('ksatlr in component inaca (dimensionless)'); LEGEND_CONSTANTS(:,85) = strpad('scaling in component inaca (dimensionless)'); LEGEND_ALGEBRAIC(:,53) = strpad('INaK in component inak (pA)'); LEGEND_CONSTANTS(:,86) = strpad('I_bar in component inak (A_per_F)'); LEGEND_CONSTANTS(:,50) = strpad('K_o in component ion (mM)'); LEGEND_ALGEBRAIC(:,52) = strpad('fnak in component inak (dimensionless)'); LEGEND_CONSTANTS(:,51) = strpad('kmko in component inak (mM)'); LEGEND_CONSTANTS(:,52) = strpad('kmnai in component inak (mM)'); LEGEND_CONSTANTS(:,87) = strpad('sigma in component inak (dimensionless)'); LEGEND_ALGEBRAIC(:,68) = strpad('Ito in component ito (pA)'); LEGEND_CONSTANTS(:,88) = strpad('gto in component ito (mS_per_uF)'); LEGEND_ALGEBRAIC(:,12) = strpad('ito_r_inf in component ito (dimensionless)'); LEGEND_CONSTANTS(:,89) = strpad('ito_r_shift in component ito (mV)'); LEGEND_ALGEBRAIC(:,30) = strpad('ito_r_tau in component ito (ms)'); LEGEND_ALGEBRAIC(:,13) = strpad('ito_s_inf in component ito (dimensionless)'); LEGEND_ALGEBRAIC(:,31) = strpad('ito_s_tau in component ito (ms)'); LEGEND_STATES(:,21) = strpad('r in component ito (dimensionless)'); LEGEND_STATES(:,22) = strpad('s in component ito (dimensionless)'); LEGEND_CONSTANTS(:,53) = strpad('i_diff in component membrane (pA)'); LEGEND_ALGEBRAIC(:,72) = strpad('i_ion in component membrane (pA)'); LEGEND_ALGEBRAIC(:,73) = strpad('i_stim in component stimulus (pA)'); LEGEND_STATES(:,23) = strpad('K_i in component potassium (mM)'); LEGEND_CONSTANTS(:,54) = strpad('R in component phys (J_per_mol_per_K)'); LEGEND_CONSTANTS(:,55) = strpad('T in component phys (kelvin)'); LEGEND_ALGEBRAIC(:,42) = strpad('RyRSRCai in component ryr (dimensionless)'); LEGEND_ALGEBRAIC(:,58) = strpad('RyRSRCass in component ryr (dimensionless)'); LEGEND_STATES(:,24) = strpad('a_i in component ryr (dimensionless)'); LEGEND_STATES(:,25) = strpad('a_ss in component ryr (dimensionless)'); LEGEND_STATES(:,26) = strpad('c_i in component ryr (dimensionless)'); LEGEND_STATES(:,27) = strpad('c_ss in component ryr (dimensionless)'); LEGEND_CONSTANTS(:,90) = strpad('fRyr in component ryr (dimensionless)'); LEGEND_CONSTANTS(:,95) = strpad('nui in component ryr (m3_per_s_times_1e_minus_15)'); LEGEND_CONSTANTS(:,101) = strpad('nuss in component ryr (m3_per_s_times_1e_minus_15)'); LEGEND_STATES(:,28) = strpad('o_i in component ryr (dimensionless)'); LEGEND_STATES(:,29) = strpad('o_ss in component ryr (dimensionless)'); LEGEND_ALGEBRAIC(:,14) = strpad('ryr_a_i_inf in component ryr (dimensionless)'); LEGEND_CONSTANTS(:,96) = strpad('ryr_a_i_tau in component ryr (ms)'); LEGEND_ALGEBRAIC(:,15) = strpad('ryr_a_ss_inf in component ryr (dimensionless)'); LEGEND_CONSTANTS(:,97) = strpad('ryr_a_ss_tau in component ryr (ms)'); LEGEND_ALGEBRAIC(:,16) = strpad('ryr_c_i_inf in component ryr (dimensionless)'); LEGEND_CONSTANTS(:,98) = strpad('ryr_c_i_tau in component ryr (ms)'); LEGEND_ALGEBRAIC(:,17) = strpad('ryr_c_ss_inf in component ryr (dimensionless)'); LEGEND_CONSTANTS(:,99) = strpad('ryr_c_ss_tau in component ryr (ms)'); LEGEND_ALGEBRAIC(:,18) = strpad('ryr_o_i_inf in component ryr (dimensionless)'); LEGEND_CONSTANTS(:,56) = strpad('ryr_o_i_tau in component ryr (ms)'); LEGEND_ALGEBRAIC(:,19) = strpad('ryr_o_ss_inf in component ryr (dimensionless)'); LEGEND_CONSTANTS(:,57) = strpad('ryr_o_ss_tau in component ryr (ms)'); LEGEND_CONSTANTS(:,91) = strpad('scaling in component ryr (dimensionless)'); LEGEND_CONSTANTS(:,92) = strpad('tau_scaling in component ryr (dimensionless)'); LEGEND_STATES(:,30) = strpad('SERCACa in component serca (mM)'); LEGEND_STATES(:,31) = strpad('SERCACass in component serca (mM)'); LEGEND_CONSTANTS(:,58) = strpad('cpumps in component serca (mM)'); LEGEND_CONSTANTS(:,59) = strpad('k1 in component serca (per_mM2_per_ms)'); LEGEND_CONSTANTS(:,60) = strpad('k2 in component serca (mS_per_uF)'); LEGEND_CONSTANTS(:,61) = strpad('k3 in component serca (per_mM2_per_ms)'); LEGEND_CONSTANTS(:,62) = strpad('k4 in component serca (mS_per_uF)'); LEGEND_CONSTANTS(:,93) = strpad('scaling in component serca (dimensionless)'); LEGEND_CONSTANTS(:,100) = strpad('amplitude in component stimulus (A_per_F)'); LEGEND_RATES(:,1) = strpad('d/dt Ca_SRi in component calcium (mM)'); LEGEND_RATES(:,2) = strpad('d/dt Ca_SRss in component calcium (mM)'); LEGEND_RATES(:,3) = strpad('d/dt Ca_i in component calcium (mM)'); LEGEND_RATES(:,4) = strpad('d/dt Ca_ss in component calcium (mM)'); LEGEND_RATES(:,6) = strpad('d/dt d in component ical (dimensionless)'); LEGEND_RATES(:,7) = strpad('d/dt f in component ical (dimensionless)'); LEGEND_RATES(:,8) = strpad('d/dt fca in component ical (dimensionless)'); LEGEND_RATES(:,9) = strpad('d/dt xr in component ikr (dimensionless)'); LEGEND_RATES(:,10) = strpad('d/dt xs in component iks (dimensionless)'); LEGEND_RATES(:,11) = strpad('d/dt BC in component ikur (dimensionless)'); LEGEND_RATES(:,12) = strpad('d/dt BO in component ikur (dimensionless)'); LEGEND_RATES(:,13) = strpad('d/dt a in component ikur (dimensionless)'); LEGEND_RATES(:,14) = strpad('d/dt i in component ikur (dimensionless)'); LEGEND_RATES(:,15) = strpad('d/dt BA in component ina (dimensionless)'); LEGEND_RATES(:,16) = strpad('d/dt BI in component ina (dimensionless)'); LEGEND_RATES(:,17) = strpad('d/dt h in component ina (dimensionless)'); LEGEND_RATES(:,18) = strpad('d/dt j in component ina (dimensionless)'); LEGEND_RATES(:,19) = strpad('d/dt m in component ina (dimensionless)'); LEGEND_RATES(:,21) = strpad('d/dt r in component ito (dimensionless)'); LEGEND_RATES(:,22) = strpad('d/dt s in component ito (dimensionless)'); LEGEND_RATES(:,5) = strpad('d/dt V in component membrane (mV)'); LEGEND_RATES(:,23) = strpad('d/dt K_i in component potassium (mM)'); LEGEND_RATES(:,24) = strpad('d/dt a_i in component ryr (dimensionless)'); LEGEND_RATES(:,25) = strpad('d/dt a_ss in component ryr (dimensionless)'); LEGEND_RATES(:,26) = strpad('d/dt c_i in component ryr (dimensionless)'); LEGEND_RATES(:,27) = strpad('d/dt c_ss in component ryr (dimensionless)'); LEGEND_RATES(:,28) = strpad('d/dt o_i in component ryr (dimensionless)'); LEGEND_RATES(:,29) = strpad('d/dt o_ss in component ryr (dimensionless)'); LEGEND_RATES(:,30) = strpad('d/dt SERCACa in component serca (mM)'); LEGEND_RATES(:,31) = strpad('d/dt SERCACass in component serca (mM)'); LEGEND_RATES(:,20) = strpad('d/dt Na_i in component sodium (mM)'); 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) = 32.4; CONSTANTS(:,2) = 81.4; CONSTANTS(:,3) = 9.3; CONSTANTS(:,4) = 0.9; CONSTANTS(:,5) = 0.8; CONSTANTS(:,6) = 0.9; CONSTANTS(:,7) = 1e-14; CONSTANTS(:,8) = 0.0; CONSTANTS(:,9) = 2.49232441199999994e+03; CONSTANTS(:,10) = 0.024; CONSTANTS(:,11) = 6.7; STATES(:,1) = 9.89241162100000015e-01; STATES(:,2) = 9.77916803700000004e-01; STATES(:,3) = 1.40313306500000005e-04; STATES(:,4) = 1.31359510499999994e-04; CONSTANTS(:,12) = 0.78; CONSTANTS(:,13) = 0.044; CONSTANTS(:,14) = 96.4867; CONSTANTS(:,15) = 0.00238; CONSTANTS(:,16) = 0.8; CONSTANTS(:,17) = 0.013; CONSTANTS(:,18) = 1.1; CONSTANTS(:,19) = 13.0; CONSTANTS(:,20) = 165.0; CONSTANTS(:,21) = 6e-06; CONSTANTS(:,22) = 0.8225; CONSTANTS(:,23) = 100.0; CONSTANTS(:,24) = 13668.0; CONSTANTS(:,25) = 1.625; CONSTANTS(:,26) = 0.5; CONSTANTS(:,27) = 100.0; CONSTANTS(:,28) = 1000.0; STATES(:,5) = -7.71325583600000044e+01; CONSTANTS(:,29) = 65.0; STATES(:,6) = 2.26716127700000005e-04; STATES(:,7) = 9.35421288100000026e-01; STATES(:,8) = 7.27082366600000030e-01; CONSTANTS(:,30) = 2.0; CONSTANTS(:,31) = 0.275; CONSTANTS(:,32) = 0.0005; STATES(:,9) = 1.57418133000000000e-03; STATES(:,10) = 2.22597964100000011e-02; STATES(:,11) = 3.06272282199999992e-15; STATES(:,12) = 2.35547751699999996e-16; CONSTANTS(:,33) = 2.47871658999999998e-03; CONSTANTS(:,34) = 1.94459589999999990e-04; CONSTANTS(:,35) = 3.0; CONSTANTS(:,36) = 2.86367149999999988e-04; CONSTANTS(:,37) = 2.90998690000000002e-04; CONSTANTS(:,38) = 8.37073022689999946e-01; STATES(:,13) = 2.41788180099999987e-04; STATES(:,14) = 9.51727886399999945e-01; STATES(:,15) = 0.0; STATES(:,16) = 0.0; CONSTANTS(:,39) = 0.1; CONSTANTS(:,40) = 0.01; CONSTANTS(:,41) = 0.0; CONSTANTS(:,42) = 7.8; STATES(:,17) = 9.16842028100000039e-01; STATES(:,18) = 9.38018356399999975e-01; STATES(:,19) = 5.63181991600000039e-03; CONSTANTS(:,43) = 1.8; STATES(:,20) = 1.03039701200000007e+01; CONSTANTS(:,44) = 140.0; CONSTANTS(:,45) = 0.35; CONSTANTS(:,46) = 1.38; CONSTANTS(:,47) = 87.5; CONSTANTS(:,48) = 1600.0; CONSTANTS(:,49) = 0.1; CONSTANTS(:,50) = 5.4; CONSTANTS(:,51) = 1.5; CONSTANTS(:,52) = 10.0; STATES(:,21) = 1.22370601099999997e-02; STATES(:,22) = 8.84913984200000003e-01; CONSTANTS(:,53) = 0.0; STATES(:,23) = 1.31867138000000011e+02; CONSTANTS(:,54) = 8.3143; CONSTANTS(:,55) = 310.0; STATES(:,24) = 2.97721944299999985e-01; STATES(:,25) = 1.41927157299999995e-01; STATES(:,26) = 9.79023869800000002e-01; STATES(:,27) = 9.57197650200000028e-01; STATES(:,28) = 3.66799927299999980e-04; STATES(:,29) = 4.56694440999999974e-04; CONSTANTS(:,56) = 5.0; CONSTANTS(:,57) = 5.0; STATES(:,30) = 9.58584701999999969e-03; STATES(:,31) = 9.38694111799999974e-03; CONSTANTS(:,58) = 0.04; CONSTANTS(:,59) = 7500.0; CONSTANTS(:,60) = 4.68749999999999983e-04; CONSTANTS(:,61) = 2.31481500000000001e-03; CONSTANTS(:,62) = 0.0075; CONSTANTS(:,63) = 1.00000 - 1.00000./(1.00000+power(CONSTANTS(:,1)./CONSTANTS(:,7), CONSTANTS(:,4))); CONSTANTS(:,64) = 1.00000 - 1.00000./(1.00000+power(CONSTANTS(:,2)./CONSTANTS(:,7), CONSTANTS(:,5))); CONSTANTS(:,65) = 1.00000 - 1.00000./(1.00000+power(CONSTANTS(:,3)./CONSTANTS(:,7), CONSTANTS(:,6))); CONSTANTS(:,66) = 6.00000.*2531.00; CONSTANTS(:,67) = 2.00000.*57.0000; CONSTANTS(:,68) = 2.00000.*80.0000; CONSTANTS(:,69) = CONSTANTS(:,25).*CONSTANTS(:,25); CONSTANTS(:,70) = piecewise({CONSTANTS(:,8)==1.00000, 1.50000 }, 1.00000); CONSTANTS(:,71) = 1.40000.*0.00113100; CONSTANTS(:,72) = 0.800000.*0.000674438; CONSTANTS(:,73) = ( 0.129400.*0.750000).*piecewise({CONSTANTS(:,8)==1.00000, 0.350000 }, 1.00000); CONSTANTS(:,74) = 0.0900000.*piecewise({CONSTANTS(:,8)==1.00000, 2.10000 }, 1.00000); CONSTANTS(:,75) = 0.800000.*0.0294118; CONSTANTS(:,76) = ( 0.800000.*0.129412).*piecewise({CONSTANTS(:,8)==1.00000, 2.00000 }, 1.00000); CONSTANTS(:,77) = (CONSTANTS(:,14)./CONSTANTS(:,54))./CONSTANTS(:,55); CONSTANTS(:,78) = - 0.327024; CONSTANTS(:,79) = - 0.257320; CONSTANTS(:,80) = - 0.0128016; CONSTANTS(:,81) = ( 0.00639800.*0.900000).*piecewise({CONSTANTS(:,8)==1.00000, 0.500000 }, 1.00000); CONSTANTS(:,82) = 0.100000./1000.00; CONSTANTS(:,83) = 0.100000./1000.00; CONSTANTS(:,84) = piecewise({CONSTANTS(:,8)==1.00000, 1.60000 }, 0.00000); CONSTANTS(:,85) = piecewise({CONSTANTS(:,8)==1.00000, 1.40000 }, 1.00000); CONSTANTS(:,86) = 1.40000.*0.599339; CONSTANTS(:,87) = (exp(CONSTANTS(:,44)./67.3000) - 1.00000)./7.00000; CONSTANTS(:,88) = ( 0.754710.*0.196200).*piecewise({CONSTANTS(:,8)==1.00000, 0.350000 }, 1.00000); CONSTANTS(:,89) = piecewise({CONSTANTS(:,8)==1.00000, 16.0000 }, 0.00000); CONSTANTS(:,90) = piecewise({CONSTANTS(:,8)==1.00000, 2.50000 }, 0.00000); CONSTANTS(:,91) = piecewise({CONSTANTS(:,8)==1.00000, 3.00000 }, 1.00000); CONSTANTS(:,92) = piecewise({CONSTANTS(:,8)==1.00000, 2.70000 }, 1.00000); CONSTANTS(:,93) = piecewise({CONSTANTS(:,8)==1.00000, 0.600000 }, 1.00000); CONSTANTS(:,101) = 0.00000; CONSTANTS(:,94) = 2.00000.*49.9232; CONSTANTS(:,95) = 0.00100000.*CONSTANTS(:,66); CONSTANTS(:,96) = 250.000.*CONSTANTS(:,92); CONSTANTS(:,97) = 250.000.*CONSTANTS(:,92); CONSTANTS(:,98) = ( 2.00000.*15.0000).*CONSTANTS(:,92); CONSTANTS(:,99) = 15.0000.*CONSTANTS(:,92); CONSTANTS(:,100) = - 80.0000; CONSTANTS(:,101) = 0.625000.*CONSTANTS(:,94); 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(:,23) = CONSTANTS(:,101); RATES(:,11) = ( ( ( ( CONSTANTS(:,33).*exp( ( - CONSTANTS(:,78).*STATES(:,5)).*CONSTANTS(:,77))).*CONSTANTS(:,7)).*STATES(:,14)).*(1.00000 - STATES(:,13))).*((1.00000 - STATES(:,12)) - STATES(:,11)) - ( CONSTANTS(:,36).*STATES(:,11)).*exp( ( - CONSTANTS(:,38).*STATES(:,5)).*CONSTANTS(:,77)); RATES(:,12) = ( ( ( ( CONSTANTS(:,34).*exp( ( - CONSTANTS(:,79).*STATES(:,5)).*CONSTANTS(:,77))).*CONSTANTS(:,7)).*STATES(:,14)).*STATES(:,13)).*((1.00000 - STATES(:,12)) - STATES(:,11)) - ( CONSTANTS(:,37).*STATES(:,12)).*exp( ( - CONSTANTS(:,80).*STATES(:,5)).*CONSTANTS(:,77)); RATES(:,15) = ( ( ( ( CONSTANTS(:,82).*CONSTANTS(:,41)).*power(STATES(:,19), 3.00000)).*STATES(:,17)).*STATES(:,18)).*((1.00000 - STATES(:,15)) - STATES(:,16)) - CONSTANTS(:,39).*STATES(:,15); RATES(:,16) = ( ( CONSTANTS(:,83).*CONSTANTS(:,41)).*(1.00000 - STATES(:,17))).*((1.00000 - STATES(:,15)) - STATES(:,16)) - CONSTANTS(:,40).*STATES(:,16); ALGEBRAIC(:,4) = 1.00000./(1.00000+STATES(:,4)./0.000350000); RATES(:,8) = (ALGEBRAIC(:,4) - STATES(:,8))./CONSTANTS(:,30); ALGEBRAIC(:,14) = 0.505000 - 0.427000./(1.00000+exp(( ( 2000.00.*STATES(:,3)).*(1.00000+CONSTANTS(:,90)) - 0.290000)./0.0820000)); RATES(:,24) = (ALGEBRAIC(:,14) - STATES(:,24))./CONSTANTS(:,96); ALGEBRAIC(:,15) = 0.505000 - 0.427000./(1.00000+exp(( ( 1000.00.*STATES(:,4)).*(1.00000+CONSTANTS(:,90)) - 0.290000)./0.0820000)); RATES(:,25) = (ALGEBRAIC(:,15) - STATES(:,25))./CONSTANTS(:,97); ALGEBRAIC(:,16) = 1.00000./(1.00000+exp(( ( 2000.00.*STATES(:,3)).*(1.00000+CONSTANTS(:,90)) - (STATES(:,24)+0.0200000))./0.0100000)); RATES(:,26) = (ALGEBRAIC(:,16) - STATES(:,26))./CONSTANTS(:,98); ALGEBRAIC(:,17) = 1.00000./(1.00000+exp(( ( 1000.00.*STATES(:,4)).*(1.00000+CONSTANTS(:,90)) - (STATES(:,25)+0.0200000))./0.0100000)); RATES(:,27) = (ALGEBRAIC(:,17) - STATES(:,27))./CONSTANTS(:,99); ALGEBRAIC(:,18) = 1.00000 - 1.00000./(1.00000+exp(( ( 2000.00.*STATES(:,3)).*(1.00000+CONSTANTS(:,90)) - (STATES(:,24)+0.220000))./0.0300000)); RATES(:,28) = (ALGEBRAIC(:,18) - STATES(:,28))./CONSTANTS(:,56); ALGEBRAIC(:,19) = 1.00000 - 1.00000./(1.00000+exp(( ( 1000.00.*STATES(:,4)).*(1.00000+CONSTANTS(:,90)) - (STATES(:,25)+0.220000))./0.0300000)); RATES(:,29) = (ALGEBRAIC(:,19) - STATES(:,29))./CONSTANTS(:,57); ALGEBRAIC(:,3) = exp( - (STATES(:,5)+28.0000)./6.90000)./(1.00000+exp( - (STATES(:,5)+28.0000)./6.90000)); ALGEBRAIC(:,22) = ( ( 1.50000.*2.00000).*3.00000)./( 0.0197000.*exp( - power(0.0337000, 2.00000).*power(STATES(:,5)+10.0000, 2.00000))+0.0200000); RATES(:,7) = (ALGEBRAIC(:,3) - STATES(:,7))./ALGEBRAIC(:,22); ALGEBRAIC(:,7) = 1.00000./(1.00000+exp( - (STATES(:,5)+5.52000)./8.60000)); ALGEBRAIC(:,25) = ( ( (45.6667./(1.00000+exp((STATES(:,5)+11.2306)./11.5255))+4.26754).*(0.262186./(1.00000+exp((STATES(:,5)+35.8658)./ - 3.87511))+0.291755)).*1.00000)./CONSTANTS(:,35); RATES(:,13) = (ALGEBRAIC(:,7) - STATES(:,13))./ALGEBRAIC(:,25); ALGEBRAIC(:,8) = 0.524240./(1.00000+exp((STATES(:,5)+15.1142)./7.56702))+0.458078; ALGEBRAIC(:,26) = (2328.00./(1.00000+exp((STATES(:,5) - 9.43500)./3.58270))+1739.14)./CONSTANTS(:,35); RATES(:,14) = (ALGEBRAIC(:,8) - STATES(:,14))./ALGEBRAIC(:,26); ALGEBRAIC(:,9) = piecewise({STATES(:,5)>= - 40.0000, 0.00000 }, 0.135000.*exp((STATES(:,5)+80.0000)./ - 6.80000)); ALGEBRAIC(:,27) = piecewise({STATES(:,5)>= - 40.0000, 1.00000./( 0.130000.*(1.00000+exp((STATES(:,5)+10.6600)./ - 11.1000))) }, 3.56000.*exp( 0.0790000.*STATES(:,5))+ 310000..*exp( 0.350000.*STATES(:,5))); RATES(:,17) = ALGEBRAIC(:,9).*(1.00000 - STATES(:,17)) - ALGEBRAIC(:,27).*STATES(:,17); ALGEBRAIC(:,10) = piecewise({STATES(:,5)>= - 40.0000, 0.00000 }, ( ( - 127140..*exp( 0.244400.*STATES(:,5)) - 3.47400e-05.*exp( - 0.0439100.*STATES(:,5))).*(STATES(:,5)+37.7800))./(1.00000+exp( 0.311000.*(STATES(:,5)+79.2300)))); ALGEBRAIC(:,28) = piecewise({STATES(:,5)>= - 40.0000, ( 0.300000.*exp( - 2.53500e-07.*STATES(:,5)))./(1.00000+exp( - 0.100000.*(STATES(:,5)+32.0000))) }, ( 0.121200.*exp( - 0.0105200.*STATES(:,5)))./(1.00000+exp( - 0.137800.*(STATES(:,5)+40.1400)))); RATES(:,18) = ALGEBRAIC(:,10).*(1.00000 - STATES(:,18)) - ALGEBRAIC(:,28).*STATES(:,18); ALGEBRAIC(:,11) = piecewise({abs((STATES(:,5) - CONSTANTS(:,84))+47.1300)<1.00000e-10, 3.20000 }, ( 0.320000.*((STATES(:,5) - CONSTANTS(:,84))+47.1300))./(1.00000 - exp( - 0.100000.*((STATES(:,5) - CONSTANTS(:,84))+47.1300)))); ALGEBRAIC(:,29) = 0.0800000.*exp( - (STATES(:,5) - CONSTANTS(:,84))./11.0000); RATES(:,19) = ALGEBRAIC(:,11).*(1.00000 - STATES(:,19)) - ALGEBRAIC(:,29).*STATES(:,19); ALGEBRAIC(:,12) = 1.00000./(1.00000+exp(((STATES(:,5) - CONSTANTS(:,89)) - 1.00000)./ - 11.0000)); ALGEBRAIC(:,30) = 3.50000.*exp( - ((STATES(:,5) - CONSTANTS(:,89))./30.0000).*2.00000)+1.50000; RATES(:,21) = (ALGEBRAIC(:,12) - STATES(:,21))./ALGEBRAIC(:,30); ALGEBRAIC(:,13) = 1.00000./(1.00000+exp((STATES(:,5)+40.5000)./11.5000)); ALGEBRAIC(:,31) = 25.6350.*exp( - ((STATES(:,5)+52.4500)./15.8827).*2.00000)+14.1400; RATES(:,22) = (ALGEBRAIC(:,13) - STATES(:,22))./ALGEBRAIC(:,31); ALGEBRAIC(:,21) = 1.00000./(1.00000+exp((STATES(:,5)+10.0000)./ - 8.00000)); ALGEBRAIC(:,2) = 1.00000./(1.00000+exp((STATES(:,5)+10.0000)./ - 6.24000)); ALGEBRAIC(:,33) = piecewise({abs(STATES(:,5)+10.0000)<1.00000e-10, ALGEBRAIC(:,2).*4.57900 }, ( ALGEBRAIC(:,2).*(1.00000 - exp((STATES(:,5)+10.0000)./ - 6.24000)))./( 0.0350000.*(STATES(:,5)+10.0000))); RATES(:,6) = (ALGEBRAIC(:,21) - STATES(:,6))./ALGEBRAIC(:,33); ALGEBRAIC(:,34) = 1.00000./(1.00000+exp((STATES(:,5)+14.1000)./ - 6.50000)); ALGEBRAIC(:,5) = piecewise({abs(STATES(:,5)+14.1000)<1.00000e-10, 0.00150000 }, ( 0.000300000.*(STATES(:,5)+14.1000))./(1.00000 - exp((STATES(:,5)+14.1000)./ - 5.00000))); ALGEBRAIC(:,23) = piecewise({abs(STATES(:,5) - 3.33280)<1.00000e-10, 0.000378361 }, ( 7.38980e-05.*(STATES(:,5) - 3.33280))./(exp((STATES(:,5) - 3.33280)./5.12370) - 1.00000)); ALGEBRAIC(:,38) = 1.00000./(ALGEBRAIC(:,5)+ALGEBRAIC(:,23)); RATES(:,9) = (ALGEBRAIC(:,34) - STATES(:,9))./ALGEBRAIC(:,38); ALGEBRAIC(:,35) = power((1.00000./(1.00000+exp((STATES(:,5) - 19.9000)./ - 12.7000))), 1.0 ./ 2); ALGEBRAIC(:,6) = piecewise({abs(STATES(:,5) - 19.9000)<1.00000e-10, 0.000680000 }, ( 4.00000e-05.*(STATES(:,5) - 19.9000))./(1.00000 - exp((STATES(:,5) - 19.9000)./ - 17.0000))); ALGEBRAIC(:,24) = piecewise({abs(STATES(:,5) - 19.9000)<1.00000e-10, 0.000315000 }, ( 3.50000e-05.*(STATES(:,5) - 19.9000))./(exp((STATES(:,5) - 19.9000)./9.00000) - 1.00000)); ALGEBRAIC(:,39) = 0.500000./(ALGEBRAIC(:,6)+ALGEBRAIC(:,24)); RATES(:,10) = (ALGEBRAIC(:,35) - STATES(:,10))./ALGEBRAIC(:,39); ALGEBRAIC(:,1) = ( ( ( 0.500000.*CONSTANTS(:,70)).*CONSTANTS(:,21)).*(STATES(:,1) - STATES(:,3))).*CONSTANTS(:,66); ALGEBRAIC(:,46) = ( ( ( CONSTANTS(:,93).*0.750000).*( ( - CONSTANTS(:,61).*power(STATES(:,1), 2.00000)).*(CONSTANTS(:,58) - STATES(:,30))+ CONSTANTS(:,62).*STATES(:,30))).*CONSTANTS(:,66)).*2.00000; ALGEBRAIC(:,42) = 1.00000 - 1.00000./(1.00000+exp((STATES(:,1) - 0.300000)./0.100000)); ALGEBRAIC(:,44) = ( ( ( ( CONSTANTS(:,91).*CONSTANTS(:,95)).*STATES(:,28)).*STATES(:,26)).*ALGEBRAIC(:,42)).*(STATES(:,1) - STATES(:,3)); ALGEBRAIC(:,50) = (ALGEBRAIC(:,46) - ALGEBRAIC(:,1)) - ALGEBRAIC(:,44); ALGEBRAIC(:,36) = 1.00000./(1.00000+( CONSTANTS(:,11).*CONSTANTS(:,16))./power(STATES(:,1)+CONSTANTS(:,16), 2.00000)); RATES(:,1) = ( 1000.00.*ALGEBRAIC(:,36)).*( CONSTANTS(:,13).*(((STATES(:,2) - 2.00000.*STATES(:,1))+STATES(:,1))./CONSTANTS(:,69)+(STATES(:,1) - STATES(:,2))./( ( 2.00000.*3.00000).*CONSTANTS(:,69)))+ALGEBRAIC(:,50)./CONSTANTS(:,67)); ALGEBRAIC(:,48) = ( ( ( CONSTANTS(:,93).*0.750000).*( ( CONSTANTS(:,59).*power(STATES(:,3), 2.00000)).*(CONSTANTS(:,58) - STATES(:,30)) - CONSTANTS(:,60).*STATES(:,30))).*CONSTANTS(:,66)).*2.00000; RATES(:,30) = ( - ALGEBRAIC(:,46)+ALGEBRAIC(:,48))./CONSTANTS(:,66); ALGEBRAIC(:,32) = (( ( 2.50000.*CONSTANTS(:,12)).*CONSTANTS(:,9))./CONSTANTS(:,22)).*(STATES(:,4) - STATES(:,3)); ALGEBRAIC(:,51) = (( - ALGEBRAIC(:,48)+ALGEBRAIC(:,1))+ALGEBRAIC(:,44))+ALGEBRAIC(:,32); ALGEBRAIC(:,40) = 1.00000./(1.00000+( CONSTANTS(:,10).*CONSTANTS(:,15))./power(STATES(:,3)+CONSTANTS(:,15), 2.00000)); RATES(:,3) = (ALGEBRAIC(:,51)./CONSTANTS(:,66)).*ALGEBRAIC(:,40); ALGEBRAIC(:,20) = ( ( ( 0.500000.*CONSTANTS(:,70)).*CONSTANTS(:,21)).*(STATES(:,2) - STATES(:,4))).*CONSTANTS(:,94); ALGEBRAIC(:,62) = ( ( ( CONSTANTS(:,93).*0.750000).*( ( - CONSTANTS(:,61).*power(STATES(:,2), 2.00000)).*(CONSTANTS(:,58) - STATES(:,31))+ CONSTANTS(:,62).*STATES(:,31))).*CONSTANTS(:,94)).*2.00000; ALGEBRAIC(:,58) = 1.00000 - 1.00000./(1.00000+exp((STATES(:,2) - 0.300000)./0.100000)); ALGEBRAIC(:,60) = ( ( ( ( CONSTANTS(:,91).*CONSTANTS(:,101)).*STATES(:,29)).*STATES(:,27)).*ALGEBRAIC(:,58)).*(STATES(:,2) - STATES(:,4)); ALGEBRAIC(:,65) = (ALGEBRAIC(:,62) - ALGEBRAIC(:,20)) - ALGEBRAIC(:,60); ALGEBRAIC(:,37) = 1.00000./(1.00000+( CONSTANTS(:,11).*CONSTANTS(:,16))./power(STATES(:,2)+CONSTANTS(:,16), 2.00000)); RATES(:,2) = ( 1000.00.*ALGEBRAIC(:,37)).*( CONSTANTS(:,13).*(((STATES(:,2) - 2.00000.*STATES(:,2))+STATES(:,1))./CONSTANTS(:,69)+(STATES(:,2) - STATES(:,1))./( ( 2.00000.*4.00000).*CONSTANTS(:,69)))+ALGEBRAIC(:,65)./CONSTANTS(:,68)); ALGEBRAIC(:,64) = ( ( ( CONSTANTS(:,93).*0.750000).*( ( CONSTANTS(:,59).*power(STATES(:,4), 2.00000)).*(CONSTANTS(:,58) - STATES(:,31)) - CONSTANTS(:,60).*STATES(:,31))).*CONSTANTS(:,94)).*2.00000; RATES(:,31) = ( - ALGEBRAIC(:,62)+ALGEBRAIC(:,64))./CONSTANTS(:,94); ALGEBRAIC(:,45) = ( ( ( ( ( 1.33333.*CONSTANTS(:,23)).*CONSTANTS(:,73)).*STATES(:,6)).*STATES(:,7)).*STATES(:,8)).*(STATES(:,5) - CONSTANTS(:,29)); ALGEBRAIC(:,47) = ( ( ( 1.26000.*CONSTANTS(:,23)).*CONSTANTS(:,31)).*STATES(:,4))./(STATES(:,4)+CONSTANTS(:,32)); ALGEBRAIC(:,49) = (((( ( ( 1.40000.*CONSTANTS(:,85)).*CONSTANTS(:,23)).*CONSTANTS(:,48))./(power(CONSTANTS(:,47), 3.00000)+power(CONSTANTS(:,44), 3.00000)))./(CONSTANTS(:,46)+CONSTANTS(:,43)))./(1.00000+ CONSTANTS(:,49).*exp( ( (CONSTANTS(:,45) - 1.00000).*STATES(:,5)).*CONSTANTS(:,77)))).*( ( power(STATES(:,20), 3.00000).*CONSTANTS(:,43)).*exp( ( STATES(:,5).*CONSTANTS(:,45)).*CONSTANTS(:,77)) - ( power(CONSTANTS(:,44), 3.00000).*STATES(:,4)).*exp( ( STATES(:,5).*(CONSTANTS(:,45) - 1.00000)).*CONSTANTS(:,77))); ALGEBRAIC(:,54) = 13.3500.*log(CONSTANTS(:,43)./STATES(:,3)); ALGEBRAIC(:,55) = ( ( 1.00000.*CONSTANTS(:,23)).*CONSTANTS(:,71)).*(STATES(:,5) - ALGEBRAIC(:,54)); ALGEBRAIC(:,56) = (( - ALGEBRAIC(:,45) - ALGEBRAIC(:,55)) - ALGEBRAIC(:,47))+ 2.00000.*ALGEBRAIC(:,49); ALGEBRAIC(:,67) = (( - ALGEBRAIC(:,32)+ALGEBRAIC(:,20)) - ALGEBRAIC(:,64))+ALGEBRAIC(:,60); ALGEBRAIC(:,41) = 1.00000./(((1.00000+( CONSTANTS(:,20).*CONSTANTS(:,18))./power(STATES(:,4)+CONSTANTS(:,18), 2.00000))+( CONSTANTS(:,19).*CONSTANTS(:,17))./power(STATES(:,4)+CONSTANTS(:,17), 2.00000))+( CONSTANTS(:,10).*CONSTANTS(:,15))./power(STATES(:,4)+CONSTANTS(:,15), 2.00000)); RATES(:,4) = ALGEBRAIC(:,41).*(ALGEBRAIC(:,67)./CONSTANTS(:,94)+ALGEBRAIC(:,56)./( ( 2.00000.*CONSTANTS(:,94)).*CONSTANTS(:,14))); ALGEBRAIC(:,69) = 26.7100.*log(CONSTANTS(:,44)./STATES(:,20)); ALGEBRAIC(:,70) = ( ( 1.70000.*CONSTANTS(:,23)).*CONSTANTS(:,72)).*(STATES(:,5) - ALGEBRAIC(:,69)); ALGEBRAIC(:,71) = ( ( ( ( ( CONSTANTS(:,42).*power(STATES(:,19), 3.00000)).*STATES(:,17)).*STATES(:,18)).*(STATES(:,5) - ALGEBRAIC(:,69))).*CONSTANTS(:,23)).*((1.00000 - STATES(:,15)) - STATES(:,16)); ALGEBRAIC(:,52) = 1.00000./((1.00000+ 0.124500.*exp( ( - 0.100000.*STATES(:,5)).*CONSTANTS(:,77)))+ ( 0.0365000.*CONSTANTS(:,87)).*exp( - STATES(:,5).*CONSTANTS(:,77))); ALGEBRAIC(:,53) = (( ( ( ( 1.28000.*CONSTANTS(:,23)).*CONSTANTS(:,86)).*ALGEBRAIC(:,52)).*CONSTANTS(:,50))./(CONSTANTS(:,50)+CONSTANTS(:,51)))./(1.00000+power(CONSTANTS(:,52)./STATES(:,20), 4.00000)); RATES(:,20) = ((( - 3.00000.*ALGEBRAIC(:,53) - 3.00000.*ALGEBRAIC(:,49)) - ALGEBRAIC(:,70)) - ALGEBRAIC(:,71))./( CONSTANTS(:,14).*CONSTANTS(:,24)); ALGEBRAIC(:,57) = 26.7100.*log(CONSTANTS(:,50)./STATES(:,23)); ALGEBRAIC(:,59) = ( ( CONSTANTS(:,23).*CONSTANTS(:,74)).*(STATES(:,5) - ALGEBRAIC(:,57)))./(1.00000+exp( 0.0700000.*(STATES(:,5)+80.0000))); ALGEBRAIC(:,61) = ( ( ( ( CONSTANTS(:,23).*CONSTANTS(:,63)).*CONSTANTS(:,75)).*STATES(:,9)).*(STATES(:,5) - ALGEBRAIC(:,57)))./(1.00000+exp((STATES(:,5)+15.0000)./22.4000)); ALGEBRAIC(:,63) = ( ( ( ( CONSTANTS(:,23).*CONSTANTS(:,64)).*CONSTANTS(:,76)).*STATES(:,10)).*STATES(:,10)).*(STATES(:,5) - ALGEBRAIC(:,57)); ALGEBRAIC(:,66) = ( ( ( ( ( CONSTANTS(:,23).*CONSTANTS(:,81)).*(4.51280+1.89977./(1.00000+exp((STATES(:,5) - 20.5232)./ - 8.26597)))).*((1.00000 - STATES(:,12)) - STATES(:,11))).*STATES(:,13)).*STATES(:,14)).*(STATES(:,5) - ALGEBRAIC(:,57)); ALGEBRAIC(:,68) = ( ( ( ( ( 1.05000.*CONSTANTS(:,65)).*CONSTANTS(:,23)).*CONSTANTS(:,88)).*STATES(:,21)).*STATES(:,22)).*(STATES(:,5) - ALGEBRAIC(:,57)); ALGEBRAIC(:,72) = (((((((((((ALGEBRAIC(:,71))+ALGEBRAIC(:,68))+ALGEBRAIC(:,66))+ALGEBRAIC(:,61))+ALGEBRAIC(:,63))+ALGEBRAIC(:,45))+ALGEBRAIC(:,59))+ALGEBRAIC(:,70))+ALGEBRAIC(:,55))+ALGEBRAIC(:,49))+ALGEBRAIC(:,53))+ALGEBRAIC(:,47); ALGEBRAIC(:,43) = piecewise({(VOI - CONSTANTS(:,27)) - CONSTANTS(:,28).*floor((VOI - CONSTANTS(:,27))./CONSTANTS(:,28))= - 40.0000, 0.00000 }, 0.135000.*exp((STATES(:,5)+80.0000)./ - 6.80000)); ALGEBRAIC(:,27) = piecewise({STATES(:,5)>= - 40.0000, 1.00000./( 0.130000.*(1.00000+exp((STATES(:,5)+10.6600)./ - 11.1000))) }, 3.56000.*exp( 0.0790000.*STATES(:,5))+ 310000..*exp( 0.350000.*STATES(:,5))); ALGEBRAIC(:,10) = piecewise({STATES(:,5)>= - 40.0000, 0.00000 }, ( ( - 127140..*exp( 0.244400.*STATES(:,5)) - 3.47400e-05.*exp( - 0.0439100.*STATES(:,5))).*(STATES(:,5)+37.7800))./(1.00000+exp( 0.311000.*(STATES(:,5)+79.2300)))); ALGEBRAIC(:,28) = piecewise({STATES(:,5)>= - 40.0000, ( 0.300000.*exp( - 2.53500e-07.*STATES(:,5)))./(1.00000+exp( - 0.100000.*(STATES(:,5)+32.0000))) }, ( 0.121200.*exp( - 0.0105200.*STATES(:,5)))./(1.00000+exp( - 0.137800.*(STATES(:,5)+40.1400)))); ALGEBRAIC(:,11) = piecewise({abs((STATES(:,5) - CONSTANTS(:,84))+47.1300)<1.00000e-10, 3.20000 }, ( 0.320000.*((STATES(:,5) - CONSTANTS(:,84))+47.1300))./(1.00000 - exp( - 0.100000.*((STATES(:,5) - CONSTANTS(:,84))+47.1300)))); ALGEBRAIC(:,29) = 0.0800000.*exp( - (STATES(:,5) - CONSTANTS(:,84))./11.0000); ALGEBRAIC(:,12) = 1.00000./(1.00000+exp(((STATES(:,5) - CONSTANTS(:,89)) - 1.00000)./ - 11.0000)); ALGEBRAIC(:,30) = 3.50000.*exp( - ((STATES(:,5) - CONSTANTS(:,89))./30.0000).*2.00000)+1.50000; ALGEBRAIC(:,13) = 1.00000./(1.00000+exp((STATES(:,5)+40.5000)./11.5000)); ALGEBRAIC(:,31) = 25.6350.*exp( - ((STATES(:,5)+52.4500)./15.8827).*2.00000)+14.1400; ALGEBRAIC(:,21) = 1.00000./(1.00000+exp((STATES(:,5)+10.0000)./ - 8.00000)); ALGEBRAIC(:,2) = 1.00000./(1.00000+exp((STATES(:,5)+10.0000)./ - 6.24000)); ALGEBRAIC(:,33) = piecewise({abs(STATES(:,5)+10.0000)<1.00000e-10, ALGEBRAIC(:,2).*4.57900 }, ( ALGEBRAIC(:,2).*(1.00000 - exp((STATES(:,5)+10.0000)./ - 6.24000)))./( 0.0350000.*(STATES(:,5)+10.0000))); ALGEBRAIC(:,34) = 1.00000./(1.00000+exp((STATES(:,5)+14.1000)./ - 6.50000)); ALGEBRAIC(:,5) = piecewise({abs(STATES(:,5)+14.1000)<1.00000e-10, 0.00150000 }, ( 0.000300000.*(STATES(:,5)+14.1000))./(1.00000 - exp((STATES(:,5)+14.1000)./ - 5.00000))); ALGEBRAIC(:,23) = piecewise({abs(STATES(:,5) - 3.33280)<1.00000e-10, 0.000378361 }, ( 7.38980e-05.*(STATES(:,5) - 3.33280))./(exp((STATES(:,5) - 3.33280)./5.12370) - 1.00000)); ALGEBRAIC(:,38) = 1.00000./(ALGEBRAIC(:,5)+ALGEBRAIC(:,23)); ALGEBRAIC(:,35) = power((1.00000./(1.00000+exp((STATES(:,5) - 19.9000)./ - 12.7000))), 1.0 ./ 2); ALGEBRAIC(:,6) = piecewise({abs(STATES(:,5) - 19.9000)<1.00000e-10, 0.000680000 }, ( 4.00000e-05.*(STATES(:,5) - 19.9000))./(1.00000 - exp((STATES(:,5) - 19.9000)./ - 17.0000))); ALGEBRAIC(:,24) = piecewise({abs(STATES(:,5) - 19.9000)<1.00000e-10, 0.000315000 }, ( 3.50000e-05.*(STATES(:,5) - 19.9000))./(exp((STATES(:,5) - 19.9000)./9.00000) - 1.00000)); ALGEBRAIC(:,39) = 0.500000./(ALGEBRAIC(:,6)+ALGEBRAIC(:,24)); ALGEBRAIC(:,1) = ( ( ( 0.500000.*CONSTANTS(:,70)).*CONSTANTS(:,21)).*(STATES(:,1) - STATES(:,3))).*CONSTANTS(:,66); ALGEBRAIC(:,46) = ( ( ( CONSTANTS(:,93).*0.750000).*( ( - CONSTANTS(:,61).*power(STATES(:,1), 2.00000)).*(CONSTANTS(:,58) - STATES(:,30))+ CONSTANTS(:,62).*STATES(:,30))).*CONSTANTS(:,66)).*2.00000; ALGEBRAIC(:,42) = 1.00000 - 1.00000./(1.00000+exp((STATES(:,1) - 0.300000)./0.100000)); ALGEBRAIC(:,44) = ( ( ( ( CONSTANTS(:,91).*CONSTANTS(:,95)).*STATES(:,28)).*STATES(:,26)).*ALGEBRAIC(:,42)).*(STATES(:,1) - STATES(:,3)); ALGEBRAIC(:,50) = (ALGEBRAIC(:,46) - ALGEBRAIC(:,1)) - ALGEBRAIC(:,44); ALGEBRAIC(:,36) = 1.00000./(1.00000+( CONSTANTS(:,11).*CONSTANTS(:,16))./power(STATES(:,1)+CONSTANTS(:,16), 2.00000)); ALGEBRAIC(:,48) = ( ( ( CONSTANTS(:,93).*0.750000).*( ( CONSTANTS(:,59).*power(STATES(:,3), 2.00000)).*(CONSTANTS(:,58) - STATES(:,30)) - CONSTANTS(:,60).*STATES(:,30))).*CONSTANTS(:,66)).*2.00000; ALGEBRAIC(:,32) = (( ( 2.50000.*CONSTANTS(:,12)).*CONSTANTS(:,9))./CONSTANTS(:,22)).*(STATES(:,4) - STATES(:,3)); ALGEBRAIC(:,51) = (( - ALGEBRAIC(:,48)+ALGEBRAIC(:,1))+ALGEBRAIC(:,44))+ALGEBRAIC(:,32); ALGEBRAIC(:,40) = 1.00000./(1.00000+( CONSTANTS(:,10).*CONSTANTS(:,15))./power(STATES(:,3)+CONSTANTS(:,15), 2.00000)); ALGEBRAIC(:,20) = ( ( ( 0.500000.*CONSTANTS(:,70)).*CONSTANTS(:,21)).*(STATES(:,2) - STATES(:,4))).*CONSTANTS(:,94); ALGEBRAIC(:,62) = ( ( ( CONSTANTS(:,93).*0.750000).*( ( - CONSTANTS(:,61).*power(STATES(:,2), 2.00000)).*(CONSTANTS(:,58) - STATES(:,31))+ CONSTANTS(:,62).*STATES(:,31))).*CONSTANTS(:,94)).*2.00000; ALGEBRAIC(:,58) = 1.00000 - 1.00000./(1.00000+exp((STATES(:,2) - 0.300000)./0.100000)); ALGEBRAIC(:,60) = ( ( ( ( CONSTANTS(:,91).*CONSTANTS(:,101)).*STATES(:,29)).*STATES(:,27)).*ALGEBRAIC(:,58)).*(STATES(:,2) - STATES(:,4)); ALGEBRAIC(:,65) = (ALGEBRAIC(:,62) - ALGEBRAIC(:,20)) - ALGEBRAIC(:,60); ALGEBRAIC(:,37) = 1.00000./(1.00000+( CONSTANTS(:,11).*CONSTANTS(:,16))./power(STATES(:,2)+CONSTANTS(:,16), 2.00000)); ALGEBRAIC(:,64) = ( ( ( CONSTANTS(:,93).*0.750000).*( ( CONSTANTS(:,59).*power(STATES(:,4), 2.00000)).*(CONSTANTS(:,58) - STATES(:,31)) - CONSTANTS(:,60).*STATES(:,31))).*CONSTANTS(:,94)).*2.00000; ALGEBRAIC(:,45) = ( ( ( ( ( 1.33333.*CONSTANTS(:,23)).*CONSTANTS(:,73)).*STATES(:,6)).*STATES(:,7)).*STATES(:,8)).*(STATES(:,5) - CONSTANTS(:,29)); ALGEBRAIC(:,47) = ( ( ( 1.26000.*CONSTANTS(:,23)).*CONSTANTS(:,31)).*STATES(:,4))./(STATES(:,4)+CONSTANTS(:,32)); ALGEBRAIC(:,49) = (((( ( ( 1.40000.*CONSTANTS(:,85)).*CONSTANTS(:,23)).*CONSTANTS(:,48))./(power(CONSTANTS(:,47), 3.00000)+power(CONSTANTS(:,44), 3.00000)))./(CONSTANTS(:,46)+CONSTANTS(:,43)))./(1.00000+ CONSTANTS(:,49).*exp( ( (CONSTANTS(:,45) - 1.00000).*STATES(:,5)).*CONSTANTS(:,77)))).*( ( power(STATES(:,20), 3.00000).*CONSTANTS(:,43)).*exp( ( STATES(:,5).*CONSTANTS(:,45)).*CONSTANTS(:,77)) - ( power(CONSTANTS(:,44), 3.00000).*STATES(:,4)).*exp( ( STATES(:,5).*(CONSTANTS(:,45) - 1.00000)).*CONSTANTS(:,77))); ALGEBRAIC(:,54) = 13.3500.*log(CONSTANTS(:,43)./STATES(:,3)); ALGEBRAIC(:,55) = ( ( 1.00000.*CONSTANTS(:,23)).*CONSTANTS(:,71)).*(STATES(:,5) - ALGEBRAIC(:,54)); ALGEBRAIC(:,56) = (( - ALGEBRAIC(:,45) - ALGEBRAIC(:,55)) - ALGEBRAIC(:,47))+ 2.00000.*ALGEBRAIC(:,49); ALGEBRAIC(:,67) = (( - ALGEBRAIC(:,32)+ALGEBRAIC(:,20)) - ALGEBRAIC(:,64))+ALGEBRAIC(:,60); ALGEBRAIC(:,41) = 1.00000./(((1.00000+( CONSTANTS(:,20).*CONSTANTS(:,18))./power(STATES(:,4)+CONSTANTS(:,18), 2.00000))+( CONSTANTS(:,19).*CONSTANTS(:,17))./power(STATES(:,4)+CONSTANTS(:,17), 2.00000))+( CONSTANTS(:,10).*CONSTANTS(:,15))./power(STATES(:,4)+CONSTANTS(:,15), 2.00000)); ALGEBRAIC(:,69) = 26.7100.*log(CONSTANTS(:,44)./STATES(:,20)); ALGEBRAIC(:,70) = ( ( 1.70000.*CONSTANTS(:,23)).*CONSTANTS(:,72)).*(STATES(:,5) - ALGEBRAIC(:,69)); ALGEBRAIC(:,71) = ( ( ( ( ( CONSTANTS(:,42).*power(STATES(:,19), 3.00000)).*STATES(:,17)).*STATES(:,18)).*(STATES(:,5) - ALGEBRAIC(:,69))).*CONSTANTS(:,23)).*((1.00000 - STATES(:,15)) - STATES(:,16)); ALGEBRAIC(:,52) = 1.00000./((1.00000+ 0.124500.*exp( ( - 0.100000.*STATES(:,5)).*CONSTANTS(:,77)))+ ( 0.0365000.*CONSTANTS(:,87)).*exp( - STATES(:,5).*CONSTANTS(:,77))); ALGEBRAIC(:,53) = (( ( ( ( 1.28000.*CONSTANTS(:,23)).*CONSTANTS(:,86)).*ALGEBRAIC(:,52)).*CONSTANTS(:,50))./(CONSTANTS(:,50)+CONSTANTS(:,51)))./(1.00000+power(CONSTANTS(:,52)./STATES(:,20), 4.00000)); ALGEBRAIC(:,57) = 26.7100.*log(CONSTANTS(:,50)./STATES(:,23)); ALGEBRAIC(:,59) = ( ( CONSTANTS(:,23).*CONSTANTS(:,74)).*(STATES(:,5) - ALGEBRAIC(:,57)))./(1.00000+exp( 0.0700000.*(STATES(:,5)+80.0000))); ALGEBRAIC(:,61) = ( ( ( ( CONSTANTS(:,23).*CONSTANTS(:,63)).*CONSTANTS(:,75)).*STATES(:,9)).*(STATES(:,5) - ALGEBRAIC(:,57)))./(1.00000+exp((STATES(:,5)+15.0000)./22.4000)); ALGEBRAIC(:,63) = ( ( ( ( CONSTANTS(:,23).*CONSTANTS(:,64)).*CONSTANTS(:,76)).*STATES(:,10)).*STATES(:,10)).*(STATES(:,5) - ALGEBRAIC(:,57)); ALGEBRAIC(:,66) = ( ( ( ( ( CONSTANTS(:,23).*CONSTANTS(:,81)).*(4.51280+1.89977./(1.00000+exp((STATES(:,5) - 20.5232)./ - 8.26597)))).*((1.00000 - STATES(:,12)) - STATES(:,11))).*STATES(:,13)).*STATES(:,14)).*(STATES(:,5) - ALGEBRAIC(:,57)); ALGEBRAIC(:,68) = ( ( ( ( ( 1.05000.*CONSTANTS(:,65)).*CONSTANTS(:,23)).*CONSTANTS(:,88)).*STATES(:,21)).*STATES(:,22)).*(STATES(:,5) - ALGEBRAIC(:,57)); ALGEBRAIC(:,72) = (((((((((((ALGEBRAIC(:,71))+ALGEBRAIC(:,68))+ALGEBRAIC(:,66))+ALGEBRAIC(:,61))+ALGEBRAIC(:,63))+ALGEBRAIC(:,45))+ALGEBRAIC(:,59))+ALGEBRAIC(:,70))+ALGEBRAIC(:,55))+ALGEBRAIC(:,49))+ALGEBRAIC(:,53))+ALGEBRAIC(:,47); ALGEBRAIC(:,43) = piecewise({(VOI - CONSTANTS(:,27)) - CONSTANTS(:,28).*floor((VOI - CONSTANTS(:,27))./CONSTANTS(:,28)) req_length strout = strin(1:req_length); else strout = [strin, blanks(req_length - insize)]; end end