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 =64; end % There are a total of 36 entries in each of the rate and state variable arrays. % There are a total of 125 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 (s)'); LEGEND_STATES(:,1) = strpad('NAn in component NAn (mM)'); LEGEND_ALGEBRAIC(:,1) = strpad('Vn_leak_Na in component Vn_leak_Na (mM_per_s)'); LEGEND_ALGEBRAIC(:,4) = strpad('Vn_pump in component Vn_pump (mM_per_s)'); LEGEND_ALGEBRAIC(:,40) = strpad('Vn_stim in component Vn_stim (mM_per_s)'); LEGEND_STATES(:,2) = strpad('GLCn in component GLCn (mM)'); LEGEND_ALGEBRAIC(:,5) = strpad('V_en_GLC in component V_en_GLC (mM_per_s)'); LEGEND_ALGEBRAIC(:,6) = strpad('Vn_hk in component Vn_hk (mM_per_s)'); LEGEND_STATES(:,3) = strpad('G6Pn in component G6Pn (mM)'); LEGEND_ALGEBRAIC(:,7) = strpad('Vn_pgi in component Vn_pgi (mM_per_s)'); LEGEND_STATES(:,4) = strpad('F6Pn in component F6Pn (mM)'); LEGEND_ALGEBRAIC(:,8) = strpad('Vn_pfk in component Vn_pfk (mM_per_s)'); LEGEND_STATES(:,5) = strpad('GAPn in component GAPn (mM)'); LEGEND_ALGEBRAIC(:,48) = strpad('Vn_pgk in component Vn_pgk (mM_per_s)'); LEGEND_STATES(:,6) = strpad('PEPn in component PEPn (mM)'); LEGEND_ALGEBRAIC(:,50) = strpad('Vn_pk in component Vn_pk (mM_per_s)'); LEGEND_STATES(:,7) = strpad('PYRn in component PYRn (mM)'); LEGEND_ALGEBRAIC(:,41) = strpad('Vn_ldh in component Vn_ldh (mM_per_s)'); LEGEND_ALGEBRAIC(:,51) = strpad('Vn_mito in component Vn_mito (mM_per_s)'); LEGEND_STATES(:,8) = strpad('LACn in component LACn (mM)'); LEGEND_ALGEBRAIC(:,9) = strpad('Vne_LAC in component Vne_LAC (mM_per_s)'); LEGEND_STATES(:,9) = strpad('NADHn in component NADHn (mM)'); LEGEND_STATES(:,10) = strpad('ATPn in component ATPn (mM)'); LEGEND_CONSTANTS(:,1) = strpad('nOP in component model_parameters (dimensionless)'); LEGEND_ALGEBRAIC(:,10) = strpad('Vn_ATPase in component Vn_ATPase (mM_per_s)'); LEGEND_ALGEBRAIC(:,52) = strpad('Vn_ck in component Vn_ck (mM_per_s)'); LEGEND_ALGEBRAIC(:,56) = strpad('dAMP_dATPn in component dAMP_dATPn (dimensionless)'); LEGEND_STATES(:,11) = strpad('PCrn in component PCrn (mM)'); LEGEND_STATES(:,12) = strpad('O2n in component O2n (mM)'); LEGEND_CONSTANTS(:,2) = strpad('NAero in component model_parameters (dimensionless)'); LEGEND_ALGEBRAIC(:,11) = strpad('Vcn_O2 in component Vcn_O2 (mM_per_s)'); LEGEND_STATES(:,13) = strpad('GLUn in component GLUn (mM)'); LEGEND_CONSTANTS(:,3) = strpad('Rng in component model_parameters (dimensionless)'); LEGEND_ALGEBRAIC(:,29) = strpad('Vg_gs in component Vg_gs (mM_per_s)'); LEGEND_ALGEBRAIC(:,43) = strpad('Vn_stim_GLU in component Vn_stim_GLU (mM_per_s)'); LEGEND_STATES(:,14) = strpad('NAg in component NAg (mM)'); LEGEND_ALGEBRAIC(:,12) = strpad('Vg_leak_Na in component Vg_leak_Na (mM_per_s)'); LEGEND_ALGEBRAIC(:,13) = strpad('Vg_pump in component Vg_pump (mM_per_s)'); LEGEND_ALGEBRAIC(:,30) = strpad('Veg_GLU in component Veg_GLU (mM_per_s)'); LEGEND_STATES(:,15) = strpad('GLCg in component GLCg (mM)'); LEGEND_ALGEBRAIC(:,15) = strpad('Vcg_GLC in component Vcg_GLC (mM_per_s)'); LEGEND_ALGEBRAIC(:,14) = strpad('Veg_GLC in component Veg_GLC (mM_per_s)'); LEGEND_ALGEBRAIC(:,16) = strpad('Vg_hk in component Vg_hk (mM_per_s)'); LEGEND_STATES(:,16) = strpad('G6Pg in component G6Pg (mM)'); LEGEND_ALGEBRAIC(:,17) = strpad('Vg_pgi in component Vg_pgi (mM_per_s)'); LEGEND_ALGEBRAIC(:,19) = strpad('Vg_glys in component Vg_glys (mM_per_s)'); LEGEND_ALGEBRAIC(:,25) = strpad('Vg_glyp in component Vg_glyp (mM_per_s)'); LEGEND_STATES(:,17) = strpad('F6Pg in component F6Pg (mM)'); LEGEND_ALGEBRAIC(:,18) = strpad('Vg_pfk in component Vg_pfk (mM_per_s)'); LEGEND_STATES(:,18) = strpad('GAPg in component GAPg (mM)'); LEGEND_ALGEBRAIC(:,57) = strpad('Vg_pgk in component Vg_pgk (mM_per_s)'); LEGEND_STATES(:,19) = strpad('PEPg in component PEPg (mM)'); LEGEND_ALGEBRAIC(:,59) = strpad('Vg_pk in component Vg_pk (mM_per_s)'); LEGEND_STATES(:,20) = strpad('PYRg in component PYRg (mM)'); LEGEND_ALGEBRAIC(:,44) = strpad('Vg_ldh in component Vg_ldh (mM_per_s)'); LEGEND_ALGEBRAIC(:,60) = strpad('Vg_mito in component Vg_mito (mM_per_s)'); LEGEND_STATES(:,21) = strpad('LACg in component LACg (mM)'); LEGEND_ALGEBRAIC(:,20) = strpad('Vge_LAC in component Vge_LAC (mM_per_s)'); LEGEND_ALGEBRAIC(:,22) = strpad('Vgc_LAC in component Vgc_LAC (mM_per_s)'); LEGEND_STATES(:,22) = strpad('NADHg in component NADHg (mM)'); LEGEND_STATES(:,23) = strpad('ATPg in component ATPg (mM)'); LEGEND_ALGEBRAIC(:,24) = strpad('Vg_ATPase in component Vg_ATPase (mM_per_s)'); LEGEND_ALGEBRAIC(:,61) = strpad('Vg_ck in component Vg_ck (mM_per_s)'); LEGEND_ALGEBRAIC(:,64) = strpad('dAMP_dATPg in component dAMP_dATPg (dimensionless)'); LEGEND_STATES(:,24) = strpad('PCrg in component PCrg (mM)'); LEGEND_STATES(:,25) = strpad('O2g in component O2g (mM)'); LEGEND_ALGEBRAIC(:,26) = strpad('Vcg_O2 in component Vcg_O2 (mM_per_s)'); LEGEND_STATES(:,26) = strpad('GLYg in component GLYg (mM)'); LEGEND_STATES(:,27) = strpad('GLUg in component GLUg (mM)'); LEGEND_STATES(:,28) = strpad('GLCe in component GLCe (mM)'); LEGEND_CONSTANTS(:,4) = strpad('Reg in component model_parameters (dimensionless)'); LEGEND_CONSTANTS(:,5) = strpad('Ren in component model_parameters (dimensionless)'); LEGEND_ALGEBRAIC(:,27) = strpad('Vce_GLC in component Vce_GLC (mM_per_s)'); LEGEND_STATES(:,29) = strpad('LACe in component LACe (mM)'); LEGEND_ALGEBRAIC(:,28) = strpad('Vec_LAC in component Vec_LAC (mM_per_s)'); LEGEND_STATES(:,30) = strpad('GLUe in component GLUe (mM)'); LEGEND_STATES(:,31) = strpad('O2c in component O2c (mM)'); LEGEND_CONSTANTS(:,6) = strpad('Rcn in component model_parameters (dimensionless)'); LEGEND_CONSTANTS(:,7) = strpad('Rcg in component model_parameters (dimensionless)'); LEGEND_ALGEBRAIC(:,34) = strpad('Vc_O2 in component Vc_O2 (mM_per_s)'); LEGEND_STATES(:,32) = strpad('GLCc in component GLCc (mM)'); LEGEND_CONSTANTS(:,8) = strpad('Rce in component model_parameters (dimensionless)'); LEGEND_ALGEBRAIC(:,35) = strpad('Vc_GLC in component Vc_GLC (mM_per_s)'); LEGEND_STATES(:,33) = strpad('LACc in component LACc (mM)'); LEGEND_ALGEBRAIC(:,36) = strpad('Vc_LAC in component Vc_LAC (mM_per_s)'); LEGEND_STATES(:,34) = strpad('CO2c in component CO2c (mM)'); LEGEND_ALGEBRAIC(:,53) = strpad('Vnc_CO2 in component Vnc_CO2 (mM_per_s)'); LEGEND_ALGEBRAIC(:,33) = strpad('Vc_CO2 in component Vc_CO2 (mM_per_s)'); LEGEND_ALGEBRAIC(:,62) = strpad('Vgc_CO2 in component Vgc_CO2 (mM_per_s)'); LEGEND_STATES(:,35) = strpad('Vv in component Vv (dimensionless)'); LEGEND_ALGEBRAIC(:,31) = strpad('Fin_t in component Fin_t (per_s)'); LEGEND_ALGEBRAIC(:,37) = strpad('Fout_t in component Fout_t (per_s)'); LEGEND_STATES(:,36) = strpad('dHb in component dHb (mM)'); LEGEND_CONSTANTS(:,9) = strpad('O2a in component model_parameters (mM)'); LEGEND_CONSTANTS(:,10) = strpad('gn_NA in component Vn_leak_Na (mS_per_cm2)'); LEGEND_CONSTANTS(:,11) = strpad('Sm_n in component model_parameters (per_cm)'); LEGEND_CONSTANTS(:,12) = strpad('Vm in component model_parameters (mV)'); LEGEND_CONSTANTS(:,13) = strpad('Vn in component model_parameters (dimensionless)'); LEGEND_CONSTANTS(:,14) = strpad('RT in component model_parameters (mV_C_per_mol)'); LEGEND_CONSTANTS(:,15) = strpad('F in component model_parameters (C_per_mole)'); LEGEND_CONSTANTS(:,16) = strpad('NAe in component model_parameters (mM)'); LEGEND_CONSTANTS(:,17) = strpad('kpump in component model_parameters (cm_per_mM_per_s)'); LEGEND_CONSTANTS(:,18) = strpad('Km_pump in component model_parameters (mM)'); LEGEND_ALGEBRAIC(:,38) = strpad('v_stim in component v_stim (mM_per_s)'); LEGEND_CONSTANTS(:,19) = strpad('Km_en_GLC in component V_en_GLC (mM)'); LEGEND_CONSTANTS(:,20) = strpad('Vm_en_GLC in component V_en_GLC (mM_per_s)'); LEGEND_CONSTANTS(:,21) = strpad('Vmax_n_hk in component Vn_hk (mM_per_s)'); LEGEND_CONSTANTS(:,22) = strpad('Km_GLC in component model_parameters (mM)'); LEGEND_CONSTANTS(:,23) = strpad('G6P_inh_hk in component model_parameters (mM)'); LEGEND_CONSTANTS(:,24) = strpad('aG6P_inh_hk in component model_parameters (dimensionless)'); LEGEND_CONSTANTS(:,25) = strpad('Vmaxf_n_pgi in component Vn_pgi (mM_per_s)'); LEGEND_CONSTANTS(:,26) = strpad('Vmaxr_n_pgi in component Vn_pgi (mM_per_s)'); LEGEND_CONSTANTS(:,27) = strpad('Km_G6P in component model_parameters (mM)'); LEGEND_CONSTANTS(:,28) = strpad('Km_F6P_pgi in component model_parameters (mM)'); LEGEND_CONSTANTS(:,29) = strpad('kn_pfk in component Vn_pfk (per_s)'); LEGEND_CONSTANTS(:,30) = strpad('Km_F6P_pfk in component model_parameters (mM)'); LEGEND_CONSTANTS(:,31) = strpad('Ki_ATP in component model_parameters (mM)'); LEGEND_CONSTANTS(:,32) = strpad('nH in component model_parameters (dimensionless)'); LEGEND_CONSTANTS(:,33) = strpad('kn_pgk in component Vn_pgk (per_mM_per_s)'); LEGEND_ALGEBRAIC(:,47) = strpad('ADPn in component ADPn (mM)'); LEGEND_ALGEBRAIC(:,39) = strpad('NADn in component NADn (mM)'); LEGEND_CONSTANTS(:,34) = strpad('kn_pk in component Vn_pk (per_mM_per_s)'); LEGEND_CONSTANTS(:,35) = strpad('kfn_ldh in component Vn_ldh (per_mM_per_s)'); LEGEND_CONSTANTS(:,36) = strpad('krn_ldh in component Vn_ldh (per_mM_per_s)'); LEGEND_CONSTANTS(:,37) = strpad('Vmax_n_mito in component Vn_mito (mM_per_s)'); LEGEND_CONSTANTS(:,38) = strpad('Km_O2 in component model_parameters (mM)'); LEGEND_CONSTANTS(:,39) = strpad('Km_ADP in component model_parameters (mM)'); LEGEND_CONSTANTS(:,40) = strpad('Km_PYR in component model_parameters (mM)'); LEGEND_CONSTANTS(:,41) = strpad('rATP_mito in component model_parameters (dimensionless)'); LEGEND_CONSTANTS(:,42) = strpad('aATP_mito in component model_parameters (dimensionless)'); LEGEND_CONSTANTS(:,43) = strpad('Vmax_ne_LAC in component Vne_LAC (mM_per_s)'); LEGEND_CONSTANTS(:,44) = strpad('Km_ne_LAC in component Vne_LAC (mM)'); LEGEND_CONSTANTS(:,45) = strpad('Vmax_n_ATPase in component Vn_ATPase (mM_per_s)'); LEGEND_CONSTANTS(:,46) = strpad('krn_ck in component Vn_ck (per_mM_per_s)'); LEGEND_CONSTANTS(:,47) = strpad('kfn_ck in component Vn_ck (per_mM_per_s)'); LEGEND_ALGEBRAIC(:,45) = strpad('CRn in component CRn (mM)'); LEGEND_CONSTANTS(:,48) = strpad('nh_O2 in component Vcn_O2 (dimensionless)'); LEGEND_CONSTANTS(:,49) = strpad('PScapn in component Vcn_O2 (per_s)'); LEGEND_CONSTANTS(:,50) = strpad('Ko2 in component model_parameters (mM)'); LEGEND_CONSTANTS(:,51) = strpad('HbOP in component model_parameters (mM)'); LEGEND_CONSTANTS(:,52) = strpad('gg_NA in component Vg_leak_Na (mS_per_cm2)'); LEGEND_CONSTANTS(:,53) = strpad('Sm_g in component model_parameters (per_cm)'); LEGEND_CONSTANTS(:,54) = strpad('Vg in component model_parameters (dimensionless)'); LEGEND_CONSTANTS(:,55) = strpad('Km_eg_GLC in component Veg_GLC (mM)'); LEGEND_CONSTANTS(:,56) = strpad('Vm_eg_GLC in component Veg_GLC (mM_per_s)'); LEGEND_CONSTANTS(:,57) = strpad('KO1 in component model_parameters (dimensionless)'); LEGEND_CONSTANTS(:,58) = strpad('Km_cg_GLC in component Vcg_GLC (mM)'); LEGEND_CONSTANTS(:,59) = strpad('Vm_cg_GLC in component Vcg_GLC (mM_per_s)'); LEGEND_CONSTANTS(:,60) = strpad('Vmax_g_hk in component Vg_hk (mM_per_s)'); LEGEND_CONSTANTS(:,61) = strpad('Vmaxf_g_pgi in component Vg_pgi (mM_per_s)'); LEGEND_CONSTANTS(:,62) = strpad('Vmaxr_g_pgi in component Vg_pgi (mM_per_s)'); LEGEND_CONSTANTS(:,63) = strpad('kg_pfk in component Vg_pfk (per_s)'); LEGEND_CONSTANTS(:,64) = strpad('kg_pgk in component Vg_pgk (per_mM_per_s)'); LEGEND_ALGEBRAIC(:,55) = strpad('ADPg in component ADPg (mM)'); LEGEND_ALGEBRAIC(:,42) = strpad('NADg in component NADg (mM)'); LEGEND_CONSTANTS(:,65) = strpad('kg_pk in component Vg_pk (per_mM_per_s)'); LEGEND_CONSTANTS(:,66) = strpad('kfg_ldh in component Vg_ldh (per_mM_per_s)'); LEGEND_CONSTANTS(:,67) = strpad('krg_ldh in component Vg_ldh (per_mM_per_s)'); LEGEND_CONSTANTS(:,68) = strpad('Vmax_g_mito in component Vg_mito (mM_per_s)'); LEGEND_CONSTANTS(:,69) = strpad('Vmax_ge_LAC in component Vge_LAC (mM_per_s)'); LEGEND_CONSTANTS(:,70) = strpad('Km_ge_LAC in component Vge_LAC (mM)'); LEGEND_CONSTANTS(:,71) = strpad('Vmax_gc_LAC in component Vgc_LAC (mM_per_s)'); LEGEND_CONSTANTS(:,72) = strpad('Km_gc_LAC in component Vgc_LAC (mM)'); LEGEND_CONSTANTS(:,73) = strpad('Vmax_g_ATPase in component Vg_ATPase (mM_per_s)'); LEGEND_CONSTANTS(:,74) = strpad('krg_ck in component Vg_ck (per_mM_per_s)'); LEGEND_CONSTANTS(:,75) = strpad('kfg_ck in component Vg_ck (per_mM_per_s)'); LEGEND_ALGEBRAIC(:,46) = strpad('CRg in component CRg (mM)'); LEGEND_CONSTANTS(:,76) = strpad('PScapg in component Vcg_O2 (per_s)'); LEGEND_CONSTANTS(:,77) = strpad('nh_O2 in component model_parameters (dimensionless)'); LEGEND_CONSTANTS(:,78) = strpad('Vc in component model_parameters (dimensionless)'); LEGEND_CONSTANTS(:,79) = strpad('GLCa in component model_parameters (mM)'); LEGEND_CONSTANTS(:,80) = strpad('Km_ce_GLC in component Vce_GLC (mM)'); LEGEND_CONSTANTS(:,81) = strpad('Vm_ce_GLC in component Vce_GLC (mM_per_s)'); LEGEND_CONSTANTS(:,82) = strpad('LACa in component model_parameters (mM)'); LEGEND_CONSTANTS(:,83) = strpad('Km_ec_LAC in component Vec_LAC (mM)'); LEGEND_CONSTANTS(:,84) = strpad('Vm_ec_LAC in component Vec_LAC (mM_per_s)'); LEGEND_CONSTANTS(:,85) = strpad('R_GLU_NA in component model_parameters (dimensionless)'); LEGEND_CONSTANTS(:,86) = strpad('Km_GLU in component model_parameters (mM)'); LEGEND_CONSTANTS(:,87) = strpad('KO2 in component model_parameters (dimensionless)'); LEGEND_CONSTANTS(:,88) = strpad('Vmax_g_gs in component Vg_gs (mM_per_s)'); LEGEND_CONSTANTS(:,89) = strpad('Km_ATP in component model_parameters (mM)'); LEGEND_CONSTANTS(:,90) = strpad('Vmax_eg_GLU in component Veg_GLU (mM_per_s)'); LEGEND_CONSTANTS(:,91) = strpad('CO2a in component model_parameters (mM)'); LEGEND_CONSTANTS(:,92) = strpad('Vmax_glys in component Vg_glys (mM_per_s)'); LEGEND_CONSTANTS(:,93) = strpad('Km_G6P_glys in component Vg_glys (mM)'); LEGEND_CONSTANTS(:,94) = strpad('GLY_inh in component model_parameters (mM)'); LEGEND_CONSTANTS(:,95) = strpad('aGLY_inh in component model_parameters (dimensionless)'); LEGEND_CONSTANTS(:,96) = strpad('Vmax_glyp in component Vg_glyp (mM_per_s)'); LEGEND_CONSTANTS(:,97) = strpad('Km_GLY in component Vg_glyp (mM)'); LEGEND_ALGEBRAIC(:,23) = strpad('deltaVt_GLY in component Vg_glyp (dimensionless)'); LEGEND_ALGEBRAIC(:,21) = strpad('unitstepSB2 in component unitstepSB2 (dimensionless)'); LEGEND_CONSTANTS(:,98) = strpad('stim in component model_parameters (dimensionless)'); LEGEND_CONSTANTS(:,99) = strpad('to in component model_parameters (s)'); LEGEND_CONSTANTS(:,100) = strpad('to_GLY in component model_parameters (s)'); LEGEND_CONSTANTS(:,101) = strpad('tend_GLY in component model_parameters (s)'); LEGEND_CONSTANTS(:,102) = strpad('sr_GLY in component model_parameters (dimensionless)'); LEGEND_CONSTANTS(:,103) = strpad('t1 in component model_parameters (s)'); LEGEND_CONSTANTS(:,104) = strpad('delta_GLY in component model_parameters (dimensionless)'); LEGEND_CONSTANTS(:,105) = strpad('KO3 in component model_parameters (dimensionless)'); LEGEND_CONSTANTS(:,106) = strpad('CBF0 in component Fin_t (per_s)'); LEGEND_CONSTANTS(:,107) = strpad('tend in component model_parameters (s)'); LEGEND_CONSTANTS(:,108) = strpad('sr in component model_parameters (dimensionless)'); LEGEND_CONSTANTS(:,109) = strpad('deltaf in component model_parameters (dimensionless)'); LEGEND_CONSTANTS(:,110) = strpad('CBF0 in component model_parameters (per_s)'); LEGEND_CONSTANTS(:,111) = strpad('Vv0 in component model_parameters (dimensionless)'); LEGEND_CONSTANTS(:,112) = strpad('tv in component model_parameters (s)'); LEGEND_CONSTANTS(:,113) = strpad('NADH_n_tot in component NADn (mM)'); LEGEND_CONSTANTS(:,114) = strpad('NADH_g_tot in component NADg (mM)'); LEGEND_CONSTANTS(:,115) = strpad('PCrn_tot in component CRn (mM)'); LEGEND_CONSTANTS(:,116) = strpad('PCrg_tot in component CRg (mM)'); LEGEND_CONSTANTS(:,117) = strpad('ATPtot in component model_parameters (mM)'); LEGEND_CONSTANTS(:,118) = strpad('qak in component model_parameters (dimensionless)'); LEGEND_ALGEBRAIC(:,54) = strpad('u_n in component u_n (dimensionless)'); LEGEND_ALGEBRAIC(:,63) = strpad('u_g in component u_g (dimensionless)'); LEGEND_ALGEBRAIC(:,49) = strpad('AMPn in component AMPn (mM)'); LEGEND_ALGEBRAIC(:,58) = strpad('AMPg in component AMPg (mM)'); LEGEND_ALGEBRAIC(:,2) = strpad('BOLD in component BOLD (dimensionless)'); LEGEND_CONSTANTS(:,119) = strpad('k1 in component model_parameters (dimensionless)'); LEGEND_CONSTANTS(:,120) = strpad('k2 in component model_parameters (dimensionless)'); LEGEND_CONSTANTS(:,121) = strpad('k3 in component model_parameters (dimensionless)'); LEGEND_CONSTANTS(:,122) = strpad('dHb0 in component model_parameters (mM)'); LEGEND_ALGEBRAIC(:,32) = strpad('unitpulseSB in component v_stim (dimensionless)'); LEGEND_CONSTANTS(:,123) = strpad('t_n_stim in component model_parameters (s)'); LEGEND_CONSTANTS(:,124) = strpad('v1_n in component model_parameters (mM_per_s)'); LEGEND_CONSTANTS(:,125) = strpad('v2_n in component model_parameters (mM_per_s)'); LEGEND_ALGEBRAIC(:,3) = strpad('unitstepSB in component unitstepSB (dimensionless)'); LEGEND_RATES(:,1) = strpad('d/dt NAn in component NAn (mM)'); LEGEND_RATES(:,2) = strpad('d/dt GLCn in component GLCn (mM)'); LEGEND_RATES(:,3) = strpad('d/dt G6Pn in component G6Pn (mM)'); LEGEND_RATES(:,4) = strpad('d/dt F6Pn in component F6Pn (mM)'); LEGEND_RATES(:,5) = strpad('d/dt GAPn in component GAPn (mM)'); LEGEND_RATES(:,6) = strpad('d/dt PEPn in component PEPn (mM)'); LEGEND_RATES(:,7) = strpad('d/dt PYRn in component PYRn (mM)'); LEGEND_RATES(:,8) = strpad('d/dt LACn in component LACn (mM)'); LEGEND_RATES(:,9) = strpad('d/dt NADHn in component NADHn (mM)'); LEGEND_RATES(:,10) = strpad('d/dt ATPn in component ATPn (mM)'); LEGEND_RATES(:,11) = strpad('d/dt PCrn in component PCrn (mM)'); LEGEND_RATES(:,12) = strpad('d/dt O2n in component O2n (mM)'); LEGEND_RATES(:,13) = strpad('d/dt GLUn in component GLUn (mM)'); LEGEND_RATES(:,14) = strpad('d/dt NAg in component NAg (mM)'); LEGEND_RATES(:,15) = strpad('d/dt GLCg in component GLCg (mM)'); LEGEND_RATES(:,16) = strpad('d/dt G6Pg in component G6Pg (mM)'); LEGEND_RATES(:,17) = strpad('d/dt F6Pg in component F6Pg (mM)'); LEGEND_RATES(:,18) = strpad('d/dt GAPg in component GAPg (mM)'); LEGEND_RATES(:,19) = strpad('d/dt PEPg in component PEPg (mM)'); LEGEND_RATES(:,20) = strpad('d/dt PYRg in component PYRg (mM)'); LEGEND_RATES(:,21) = strpad('d/dt LACg in component LACg (mM)'); LEGEND_RATES(:,22) = strpad('d/dt NADHg in component NADHg (mM)'); LEGEND_RATES(:,23) = strpad('d/dt ATPg in component ATPg (mM)'); LEGEND_RATES(:,24) = strpad('d/dt PCrg in component PCrg (mM)'); LEGEND_RATES(:,25) = strpad('d/dt O2g in component O2g (mM)'); LEGEND_RATES(:,26) = strpad('d/dt GLYg in component GLYg (mM)'); LEGEND_RATES(:,27) = strpad('d/dt GLUg in component GLUg (mM)'); LEGEND_RATES(:,28) = strpad('d/dt GLCe in component GLCe (mM)'); LEGEND_RATES(:,29) = strpad('d/dt LACe in component LACe (mM)'); LEGEND_RATES(:,30) = strpad('d/dt GLUe in component GLUe (mM)'); LEGEND_RATES(:,31) = strpad('d/dt O2c in component O2c (mM)'); LEGEND_RATES(:,32) = strpad('d/dt GLCc in component GLCc (mM)'); LEGEND_RATES(:,33) = strpad('d/dt LACc in component LACc (mM)'); LEGEND_RATES(:,34) = strpad('d/dt CO2c in component CO2c (mM)'); LEGEND_RATES(:,35) = strpad('d/dt Vv in component Vv (dimensionless)'); LEGEND_RATES(:,36) = strpad('d/dt dHb in component dHb (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 = []; STATES(:,1) = 15.533; STATES(:,2) = 0.2633; STATES(:,3) = 0.7275; STATES(:,4) = 0.1091; STATES(:,5) = 0.0418; STATES(:,6) = 0.0037; STATES(:,7) = 0.0388; STATES(:,8) = 0.3856; STATES(:,9) = 0.0319; STATES(:,10) = 2.2592; CONSTANTS(:,1) = 15.0; STATES(:,11) = 4.2529; STATES(:,12) = 0.0975; CONSTANTS(:,2) = 3.0; STATES(:,13) = 3.0; CONSTANTS(:,3) = 1.8; STATES(:,14) = 13.36; STATES(:,15) = 0.1656; STATES(:,16) = 0.7326; STATES(:,17) = 0.1116; STATES(:,18) = 0.0698; STATES(:,19) = 0.0254; STATES(:,20) = 0.1711; STATES(:,21) = 0.4651; STATES(:,22) = 0.0445; STATES(:,23) = 2.24; STATES(:,24) = 4.6817; STATES(:,25) = 0.1589; STATES(:,26) = 2.5; STATES(:,27) = 0.0; STATES(:,28) = 0.3339; CONSTANTS(:,4) = 0.8; CONSTANTS(:,5) = 0.4444444444444444; STATES(:,29) = 0.3986; STATES(:,30) = 0.0; STATES(:,31) = 7.4201; CONSTANTS(:,6) = 0.01222; CONSTANTS(:,7) = 0.022; STATES(:,32) = 4.6401; CONSTANTS(:,8) = 0.0275; STATES(:,33) = 0.3251; STATES(:,34) = 2.12; STATES(:,35) = 0.0237; STATES(:,36) = 0.0218; CONSTANTS(:,9) = 8.34; CONSTANTS(:,10) = 0.0039; CONSTANTS(:,11) = 40500; CONSTANTS(:,12) = -70; CONSTANTS(:,13) = 0.45; CONSTANTS(:,14) = 2577340; CONSTANTS(:,15) = 96500; CONSTANTS(:,16) = 150.0; CONSTANTS(:,17) = 3.17e-7; CONSTANTS(:,18) = 0.4243; CONSTANTS(:,19) = 5.32; CONSTANTS(:,20) = 0.50417; CONSTANTS(:,21) = 0.0513; CONSTANTS(:,22) = 0.105; CONSTANTS(:,23) = 0.6; CONSTANTS(:,24) = 20.0; CONSTANTS(:,25) = 0.5; CONSTANTS(:,26) = 0.45; CONSTANTS(:,27) = 0.5; CONSTANTS(:,28) = 0.06; CONSTANTS(:,29) = 0.55783; CONSTANTS(:,30) = 0.18; CONSTANTS(:,31) = 0.7595; CONSTANTS(:,32) = 4.0; CONSTANTS(:,33) = 0.4287; CONSTANTS(:,34) = 28.6; CONSTANTS(:,35) = 5.30; CONSTANTS(:,36) = 0.1046; CONSTANTS(:,37) = 0.05557; CONSTANTS(:,38) = 0.0029658; CONSTANTS(:,39) = 0.00107; CONSTANTS(:,40) = 0.0632; CONSTANTS(:,41) = 20.0; CONSTANTS(:,42) = 5.0; CONSTANTS(:,43) = 0.1978; CONSTANTS(:,44) = 0.09314; CONSTANTS(:,45) = 0.04889; CONSTANTS(:,46) = 0.015; CONSTANTS(:,47) = 0.0524681; CONSTANTS(:,48) = 2.7; CONSTANTS(:,49) = 0.2202; CONSTANTS(:,50) = 0.089733; CONSTANTS(:,51) = 8.6; CONSTANTS(:,52) = 0.00325; CONSTANTS(:,53) = 10500; CONSTANTS(:,54) = 0.25; CONSTANTS(:,55) = 3.53; CONSTANTS(:,56) = 0.038089; CONSTANTS(:,57) = 1.0; CONSTANTS(:,58) = 9.92; CONSTANTS(:,59) = 0.0098394; CONSTANTS(:,60) = 0.050461; CONSTANTS(:,61) = 0.5; CONSTANTS(:,62) = 0.45; CONSTANTS(:,63) = 0.403; CONSTANTS(:,64) = 0.2514; CONSTANTS(:,65) = 2.73; CONSTANTS(:,66) = 6.2613; CONSTANTS(:,67) = 0.54682; CONSTANTS(:,68) = 0.008454; CONSTANTS(:,69) = 0.086124; CONSTANTS(:,70) = 0.22163; CONSTANTS(:,71) = 0.00021856; CONSTANTS(:,72) = 0.12862; CONSTANTS(:,73) = 0.035657; CONSTANTS(:,74) = 0.02073; CONSTANTS(:,75) = 0.0243; CONSTANTS(:,76) = 0.2457; CONSTANTS(:,77) = 2.7; CONSTANTS(:,78) = 0.0055; CONSTANTS(:,79) = 4.8; CONSTANTS(:,80) = 8.4568; CONSTANTS(:,81) = 0.0489; CONSTANTS(:,82) = 0.313; CONSTANTS(:,83) = 0.764818; CONSTANTS(:,84) = 0.0325; CONSTANTS(:,85) = 0.075; CONSTANTS(:,86) = 0.05; CONSTANTS(:,87) = 1; CONSTANTS(:,88) = 0.3; CONSTANTS(:,89) = 0.01532; CONSTANTS(:,90) = 0.0208; CONSTANTS(:,91) = 1.2; CONSTANTS(:,92) = 0.0001528; CONSTANTS(:,93) = 0.5; CONSTANTS(:,94) = 4.2; CONSTANTS(:,95) = 20.0; CONSTANTS(:,96) = 4.922e-5; CONSTANTS(:,97) = 1.0; CONSTANTS(:,98) = 1; CONSTANTS(:,99) = 200; CONSTANTS(:,100) = 83; CONSTANTS(:,101) = 440; CONSTANTS(:,102) = 4; CONSTANTS(:,103) = 2; CONSTANTS(:,104) = 62; CONSTANTS(:,105) = 1; CONSTANTS(:,106) = 0.012; CONSTANTS(:,107) = 300; CONSTANTS(:,108) = 4.59186; CONSTANTS(:,109) = 0.42; CONSTANTS(:,110) = 0.012; CONSTANTS(:,111) = 0.0236; CONSTANTS(:,112) = 35.0; CONSTANTS(:,113) = 0.22; CONSTANTS(:,114) = 0.22; CONSTANTS(:,115) = 5.0; CONSTANTS(:,116) = 5.0; CONSTANTS(:,117) = 2.379; CONSTANTS(:,118) = 0.92; CONSTANTS(:,119) = 2.22; CONSTANTS(:,120) = 0.46; CONSTANTS(:,121) = 0.43; CONSTANTS(:,122) = 0.064; CONSTANTS(:,123) = 2; CONSTANTS(:,124) = 0.041; CONSTANTS(:,125) = 2.55; 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(:,5) = CONSTANTS(:,20).*(STATES(:,28)./(STATES(:,28)+CONSTANTS(:,19)) - STATES(:,2)./(STATES(:,2)+CONSTANTS(:,19))); ALGEBRAIC(:,6) = CONSTANTS(:,21).*STATES(:,10).*(STATES(:,2)./(STATES(:,2)+CONSTANTS(:,22))).*(1.00000 - 1.00000./(1.00000+exp( - CONSTANTS(:,24).*( 1.00000.*(STATES(:,3) - CONSTANTS(:,23)))))); RATES(:,2) = ALGEBRAIC(:,5) - ALGEBRAIC(:,6); ALGEBRAIC(:,7) = CONSTANTS(:,25).*(STATES(:,3)./(STATES(:,3)+CONSTANTS(:,27))) - CONSTANTS(:,26).*(STATES(:,4)./(STATES(:,4)+CONSTANTS(:,28))); RATES(:,3) = ALGEBRAIC(:,6) - ALGEBRAIC(:,7); ALGEBRAIC(:,8) = CONSTANTS(:,29).*STATES(:,10).*(STATES(:,4)./(STATES(:,4)+CONSTANTS(:,30))).*power(1.00000+power(STATES(:,10)./CONSTANTS(:,31), CONSTANTS(:,32)), -1.00000); RATES(:,4) = ALGEBRAIC(:,7) - ALGEBRAIC(:,8); ALGEBRAIC(:,15) = CONSTANTS(:,59).*(STATES(:,32)./(STATES(:,32)+CONSTANTS(:,58)) - STATES(:,15)./(STATES(:,15)+CONSTANTS(:,58))); ALGEBRAIC(:,14) = CONSTANTS(:,57).*CONSTANTS(:,56).*(STATES(:,28)./(STATES(:,28)+CONSTANTS(:,55)) - STATES(:,15)./(STATES(:,15)+CONSTANTS(:,55))); ALGEBRAIC(:,16) = CONSTANTS(:,60).*STATES(:,23).*(STATES(:,15)./(STATES(:,15)+CONSTANTS(:,22))).*(1.00000 - 1.00000./(1.00000+exp( - CONSTANTS(:,24).*( 1.00000.*(STATES(:,16) - CONSTANTS(:,23)))))); RATES(:,15) = (ALGEBRAIC(:,15)+ALGEBRAIC(:,14)) - ALGEBRAIC(:,16); ALGEBRAIC(:,17) = CONSTANTS(:,61).*(STATES(:,16)./(STATES(:,16)+CONSTANTS(:,27))) - CONSTANTS(:,62).*(STATES(:,17)./(STATES(:,17)+CONSTANTS(:,28))); ALGEBRAIC(:,18) = CONSTANTS(:,63).*STATES(:,23).*(STATES(:,17)./(STATES(:,17)+CONSTANTS(:,30))).*power(1.00000+power(STATES(:,23)./CONSTANTS(:,31), CONSTANTS(:,32)), -1.00000); RATES(:,17) = ALGEBRAIC(:,17) - ALGEBRAIC(:,18); ALGEBRAIC(:,19) = CONSTANTS(:,92).*(STATES(:,16)./(STATES(:,16)+CONSTANTS(:,93))).*(1.00000 - 1.00000./(1.00000+exp( - CONSTANTS(:,95).*( 1.00000.*(STATES(:,26) - CONSTANTS(:,94)))))); ALGEBRAIC(:,21) = piecewise({VOI - (CONSTANTS(:,101)+CONSTANTS(:,99)+CONSTANTS(:,100))>=0.00000, 1.00000 }, 0.00000); ALGEBRAIC(:,23) = 1.00000+ CONSTANTS(:,98).*( CONSTANTS(:,104).*CONSTANTS(:,105).*(1.00000./(1.00000+exp( 1.00000.* - CONSTANTS(:,102).*(VOI - (CONSTANTS(:,99)+CONSTANTS(:,100)))))).*(1.00000 - ALGEBRAIC(:,21))); ALGEBRAIC(:,25) = CONSTANTS(:,96).*(STATES(:,26)./(STATES(:,26)+CONSTANTS(:,97))).*ALGEBRAIC(:,23); RATES(:,16) = (ALGEBRAIC(:,16)+ALGEBRAIC(:,25)) - (ALGEBRAIC(:,17)+ALGEBRAIC(:,19)); RATES(:,26) = ALGEBRAIC(:,19) - ALGEBRAIC(:,25); ALGEBRAIC(:,27) = CONSTANTS(:,81).*(STATES(:,32)./(STATES(:,32)+CONSTANTS(:,80)) - STATES(:,28)./(STATES(:,28)+CONSTANTS(:,80))); RATES(:,28) = ALGEBRAIC(:,27) - ( ALGEBRAIC(:,14).*(1.00000./CONSTANTS(:,4))+ ALGEBRAIC(:,5).*(1.00000./CONSTANTS(:,5))); ALGEBRAIC(:,9) = CONSTANTS(:,43).*(STATES(:,8)./(STATES(:,8)+CONSTANTS(:,44)) - STATES(:,29)./(STATES(:,29)+CONSTANTS(:,44))); ALGEBRAIC(:,20) = CONSTANTS(:,69).*(STATES(:,21)./(STATES(:,21)+CONSTANTS(:,70)) - STATES(:,29)./(STATES(:,29)+CONSTANTS(:,70))); ALGEBRAIC(:,28) = CONSTANTS(:,84).*(STATES(:,29)./(STATES(:,29)+CONSTANTS(:,83)) - STATES(:,33)./(STATES(:,33)+CONSTANTS(:,83))); RATES(:,29) = ( ALGEBRAIC(:,9).*(1.00000./CONSTANTS(:,5))+ ALGEBRAIC(:,20).*(1.00000./CONSTANTS(:,4))) - ALGEBRAIC(:,28); ALGEBRAIC(:,12) = (CONSTANTS(:,53)./CONSTANTS(:,54)).*(CONSTANTS(:,52)./CONSTANTS(:,15)).*( (CONSTANTS(:,14)./CONSTANTS(:,15)).*log(CONSTANTS(:,16)./STATES(:,14)) - CONSTANTS(:,12)); ALGEBRAIC(:,13) = (CONSTANTS(:,53)./CONSTANTS(:,54)).*CONSTANTS(:,17).*STATES(:,23).*STATES(:,14).*power(1.00000+STATES(:,23)./CONSTANTS(:,18), -1.00000); ALGEBRAIC(:,30) = CONSTANTS(:,90).*(STATES(:,30)./(STATES(:,30)+CONSTANTS(:,86))); RATES(:,14) = (ALGEBRAIC(:,12)+ 3.00000.*ALGEBRAIC(:,30)) - 3.00000.*ALGEBRAIC(:,13); ALGEBRAIC(:,29) = CONSTANTS(:,88).*( (STATES(:,27)./(STATES(:,27)+CONSTANTS(:,86))).*(STATES(:,23)./(STATES(:,23)+CONSTANTS(:,89)))); RATES(:,27) = ALGEBRAIC(:,30) - ALGEBRAIC(:,29); ALGEBRAIC(:,11) = (CONSTANTS(:,49)./CONSTANTS(:,13)).*( CONSTANTS(:,50).*power(CONSTANTS(:,51)./STATES(:,31) - 1.00000, -1.00000./CONSTANTS(:,48)) - STATES(:,12)); ALGEBRAIC(:,26) = (CONSTANTS(:,76)./CONSTANTS(:,54)).*( CONSTANTS(:,50).*power(CONSTANTS(:,51)./STATES(:,31) - 1.00000, -1.00000./CONSTANTS(:,77)) - STATES(:,25)); ALGEBRAIC(:,31) = CONSTANTS(:,106)+( CONSTANTS(:,98).*CONSTANTS(:,106).*CONSTANTS(:,109).*(1.00000./(1.00000+exp( ( 1.00000.* - CONSTANTS(:,108)).*(VOI - ((CONSTANTS(:,99)+CONSTANTS(:,103)) - 3.00000))))) - CONSTANTS(:,98).*CONSTANTS(:,106).*CONSTANTS(:,109).*(1.00000./(1.00000+exp( ( 1.00000.* - CONSTANTS(:,108)).*(VOI - (CONSTANTS(:,99)+CONSTANTS(:,107)+CONSTANTS(:,103)+3.00000)))))); ALGEBRAIC(:,34) = 2.00000.*(ALGEBRAIC(:,31)./CONSTANTS(:,78)).*(CONSTANTS(:,9) - STATES(:,31)); RATES(:,31) = ALGEBRAIC(:,34) - ( ALGEBRAIC(:,11).*(1.00000./CONSTANTS(:,6))+ ALGEBRAIC(:,26).*(1.00000./CONSTANTS(:,7))); ALGEBRAIC(:,35) = 2.00000.*(ALGEBRAIC(:,31)./CONSTANTS(:,78)).*(CONSTANTS(:,79) - STATES(:,32)); RATES(:,32) = ALGEBRAIC(:,35) - ( ALGEBRAIC(:,27).*(1.00000./CONSTANTS(:,8))+ ALGEBRAIC(:,15).*(1.00000./CONSTANTS(:,7))); ALGEBRAIC(:,22) = CONSTANTS(:,71).*(STATES(:,21)./(STATES(:,21)+CONSTANTS(:,72)) - STATES(:,33)./(STATES(:,33)+CONSTANTS(:,72))); ALGEBRAIC(:,36) = 2.00000.*(ALGEBRAIC(:,31)./CONSTANTS(:,78)).*(CONSTANTS(:,82) - STATES(:,33)); RATES(:,33) = ALGEBRAIC(:,36)+( ALGEBRAIC(:,28).*(1.00000./CONSTANTS(:,8))+ ALGEBRAIC(:,22).*(1.00000./CONSTANTS(:,7))); ALGEBRAIC(:,37) = CONSTANTS(:,110).*((power(STATES(:,35)./CONSTANTS(:,111), 2.00000)+ CONSTANTS(:,112).*power(STATES(:,35)./CONSTANTS(:,111), -0.500000).*(ALGEBRAIC(:,31)./CONSTANTS(:,111)))./(1.00000+ CONSTANTS(:,110).*CONSTANTS(:,112).*power(STATES(:,35)./CONSTANTS(:,111), -0.500000).*(1.00000./CONSTANTS(:,111)))); RATES(:,35) = ALGEBRAIC(:,31) - ALGEBRAIC(:,37); RATES(:,36) = ALGEBRAIC(:,31).*(CONSTANTS(:,9) - STATES(:,31)) - ALGEBRAIC(:,37).*(STATES(:,36)./STATES(:,35)); ALGEBRAIC(:,1) = (CONSTANTS(:,11)./CONSTANTS(:,13)).*(CONSTANTS(:,10)./CONSTANTS(:,15)).*( (CONSTANTS(:,14)./CONSTANTS(:,15)).*log(CONSTANTS(:,16)./STATES(:,1)) - CONSTANTS(:,12)); ALGEBRAIC(:,4) = (CONSTANTS(:,11)./CONSTANTS(:,13)).*CONSTANTS(:,17).*STATES(:,10).*STATES(:,1).*power(1.00000+STATES(:,10)./CONSTANTS(:,18), -1.00000); ALGEBRAIC(:,32) = piecewise({VOI>=CONSTANTS(:,99)&VOI<=CONSTANTS(:,99)+CONSTANTS(:,107), 1.00000 }, 0.00000); ALGEBRAIC(:,38) = CONSTANTS(:,98).*(CONSTANTS(:,124)+ CONSTANTS(:,125).*((VOI - CONSTANTS(:,99))./CONSTANTS(:,123)).*exp( - ( (VOI - CONSTANTS(:,99)).*(ALGEBRAIC(:,32)./CONSTANTS(:,123))))).*ALGEBRAIC(:,32); ALGEBRAIC(:,40) = ALGEBRAIC(:,38); RATES(:,1) = (ALGEBRAIC(:,1)+ALGEBRAIC(:,40)) - 3.00000.*ALGEBRAIC(:,4); ALGEBRAIC(:,39) = CONSTANTS(:,113) - STATES(:,9); ALGEBRAIC(:,41) = CONSTANTS(:,35).*STATES(:,7).*STATES(:,9) - CONSTANTS(:,36).*STATES(:,8).*ALGEBRAIC(:,39); RATES(:,8) = ALGEBRAIC(:,41) - ALGEBRAIC(:,9); ALGEBRAIC(:,43) = ALGEBRAIC(:,40).*CONSTANTS(:,85).*CONSTANTS(:,87).*(STATES(:,13)./(STATES(:,13)+CONSTANTS(:,86))); RATES(:,13) = ALGEBRAIC(:,29).*(1.00000./CONSTANTS(:,3)) - ALGEBRAIC(:,43); RATES(:,30) = ALGEBRAIC(:,43).*(1.00000./CONSTANTS(:,5)) - ALGEBRAIC(:,30).*(1.00000./CONSTANTS(:,4)); ALGEBRAIC(:,42) = CONSTANTS(:,114) - STATES(:,22); ALGEBRAIC(:,44) = CONSTANTS(:,66).*STATES(:,20).*STATES(:,22) - CONSTANTS(:,67).*STATES(:,21).*ALGEBRAIC(:,42); RATES(:,21) = ALGEBRAIC(:,44) - (ALGEBRAIC(:,20)+ALGEBRAIC(:,22)); ALGEBRAIC(:,47) = (STATES(:,10)./2.00000).*( - CONSTANTS(:,118)+power((power(CONSTANTS(:,118), 2.00000)+ 4.00000.*CONSTANTS(:,118).*(CONSTANTS(:,117)./STATES(:,10) - 1.00000)), 1.0 ./ 2)); ALGEBRAIC(:,48) = CONSTANTS(:,33).*STATES(:,5).*ALGEBRAIC(:,47).*(ALGEBRAIC(:,39)./STATES(:,9)); RATES(:,5) = 2.00000.*ALGEBRAIC(:,8) - ALGEBRAIC(:,48); ALGEBRAIC(:,50) = CONSTANTS(:,34).*STATES(:,6).*ALGEBRAIC(:,47); RATES(:,6) = ALGEBRAIC(:,48) - ALGEBRAIC(:,50); ALGEBRAIC(:,51) = CONSTANTS(:,37).*(STATES(:,12)./(STATES(:,12)+CONSTANTS(:,38))).*(ALGEBRAIC(:,47)./(ALGEBRAIC(:,47)+CONSTANTS(:,39))).*(STATES(:,7)./(STATES(:,7)+CONSTANTS(:,40))).*(1.00000 - 1.00000./(1.00000+exp( - CONSTANTS(:,42).*( 1.00000.*(STATES(:,10)./ALGEBRAIC(:,47) - 1.00000.*CONSTANTS(:,41)))))); RATES(:,7) = ALGEBRAIC(:,50) - (ALGEBRAIC(:,41)+ALGEBRAIC(:,51)); RATES(:,9) = ALGEBRAIC(:,48) - (ALGEBRAIC(:,41)+ALGEBRAIC(:,51)); RATES(:,12) = ALGEBRAIC(:,11) - CONSTANTS(:,2).*ALGEBRAIC(:,51); ALGEBRAIC(:,45) = CONSTANTS(:,115) - STATES(:,11); ALGEBRAIC(:,52) = CONSTANTS(:,47).*STATES(:,11).*ALGEBRAIC(:,47) - CONSTANTS(:,46).*ALGEBRAIC(:,45).*STATES(:,10); RATES(:,11) = - ALGEBRAIC(:,52); ALGEBRAIC(:,10) = CONSTANTS(:,45).*(STATES(:,10)./(STATES(:,10)+0.00100000)); ALGEBRAIC(:,54) = power(CONSTANTS(:,118), 2.00000)+ 4.00000.*CONSTANTS(:,118).*(CONSTANTS(:,117)./STATES(:,10) - 1.00000); ALGEBRAIC(:,56) = (CONSTANTS(:,118)./2.00000+ CONSTANTS(:,118).*(CONSTANTS(:,117)./( STATES(:,10).*power(ALGEBRAIC(:,54), 1.0 ./ 2)))) - (1.00000+ 0.500000.*power(ALGEBRAIC(:,54), 1.0 ./ 2)); RATES(:,10) = ((ALGEBRAIC(:,48)+ALGEBRAIC(:,50)+ CONSTANTS(:,1).*ALGEBRAIC(:,51)+ALGEBRAIC(:,52)) - (ALGEBRAIC(:,6)+ALGEBRAIC(:,8)+ALGEBRAIC(:,10)+ALGEBRAIC(:,4))).*power(1.00000 - ALGEBRAIC(:,56), -1.00000); ALGEBRAIC(:,55) = (STATES(:,23)./2.00000).*( - CONSTANTS(:,118)+power((power(CONSTANTS(:,118), 2.00000)+ 4.00000.*CONSTANTS(:,118).*(CONSTANTS(:,117)./STATES(:,23) - 1.00000)), 1.0 ./ 2)); ALGEBRAIC(:,57) = CONSTANTS(:,64).*STATES(:,18).*ALGEBRAIC(:,55).*(ALGEBRAIC(:,42)./STATES(:,22)); RATES(:,18) = 2.00000.*ALGEBRAIC(:,18) - ALGEBRAIC(:,57); ALGEBRAIC(:,59) = CONSTANTS(:,65).*STATES(:,19).*ALGEBRAIC(:,55); RATES(:,19) = ALGEBRAIC(:,57) - ALGEBRAIC(:,59); ALGEBRAIC(:,60) = CONSTANTS(:,68).*(STATES(:,25)./(STATES(:,25)+CONSTANTS(:,38))).*(ALGEBRAIC(:,55)./(ALGEBRAIC(:,55)+CONSTANTS(:,39))).*(STATES(:,20)./(STATES(:,20)+CONSTANTS(:,40))).*(1.00000 - 1.00000./(1.00000+exp( 1.00000.* - CONSTANTS(:,42).*(STATES(:,23)./ALGEBRAIC(:,55) - 1.00000.*CONSTANTS(:,41))))); RATES(:,20) = ALGEBRAIC(:,59) - (ALGEBRAIC(:,44)+ALGEBRAIC(:,60)); RATES(:,22) = ALGEBRAIC(:,57) - (ALGEBRAIC(:,44)+ALGEBRAIC(:,60)); RATES(:,25) = ALGEBRAIC(:,26) - CONSTANTS(:,2).*ALGEBRAIC(:,60); ALGEBRAIC(:,46) = CONSTANTS(:,116) - STATES(:,24); ALGEBRAIC(:,61) = CONSTANTS(:,75).*STATES(:,24).*ALGEBRAIC(:,55) - CONSTANTS(:,74).*ALGEBRAIC(:,46).*STATES(:,23); RATES(:,24) = - ALGEBRAIC(:,61); ALGEBRAIC(:,53) = 3.00000.*ALGEBRAIC(:,51); ALGEBRAIC(:,33) = 2.00000.*(ALGEBRAIC(:,31)./CONSTANTS(:,78)).*(STATES(:,34) - CONSTANTS(:,91)); ALGEBRAIC(:,62) = 3.00000.*ALGEBRAIC(:,60); RATES(:,34) = ( ALGEBRAIC(:,53).*(1.00000./CONSTANTS(:,6))+ ALGEBRAIC(:,62).*(1.00000./CONSTANTS(:,7))) - ALGEBRAIC(:,33); ALGEBRAIC(:,24) = CONSTANTS(:,73).*(STATES(:,23)./(STATES(:,23)+0.00100000)); ALGEBRAIC(:,63) = power(CONSTANTS(:,118), 2.00000)+ 4.00000.*CONSTANTS(:,118).*(CONSTANTS(:,117)./STATES(:,23) - 1.00000); ALGEBRAIC(:,64) = (CONSTANTS(:,118)./2.00000+ CONSTANTS(:,118).*(CONSTANTS(:,117)./( STATES(:,23).*power(ALGEBRAIC(:,63), 1.0 ./ 2)))) - (1.00000+ 0.500000.*power(ALGEBRAIC(:,63), 1.0 ./ 2)); RATES(:,23) = ((ALGEBRAIC(:,57)+ALGEBRAIC(:,59)+ CONSTANTS(:,1).*ALGEBRAIC(:,60)+ALGEBRAIC(:,61)) - (ALGEBRAIC(:,16)+ALGEBRAIC(:,18)+ALGEBRAIC(:,24)+ALGEBRAIC(:,13)+ALGEBRAIC(:,29))).*power(1.00000 - ALGEBRAIC(:,64), -1.00000); 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(:,5) = CONSTANTS(:,20).*(STATES(:,28)./(STATES(:,28)+CONSTANTS(:,19)) - STATES(:,2)./(STATES(:,2)+CONSTANTS(:,19))); ALGEBRAIC(:,6) = CONSTANTS(:,21).*STATES(:,10).*(STATES(:,2)./(STATES(:,2)+CONSTANTS(:,22))).*(1.00000 - 1.00000./(1.00000+exp( - CONSTANTS(:,24).*( 1.00000.*(STATES(:,3) - CONSTANTS(:,23)))))); ALGEBRAIC(:,7) = CONSTANTS(:,25).*(STATES(:,3)./(STATES(:,3)+CONSTANTS(:,27))) - CONSTANTS(:,26).*(STATES(:,4)./(STATES(:,4)+CONSTANTS(:,28))); ALGEBRAIC(:,8) = CONSTANTS(:,29).*STATES(:,10).*(STATES(:,4)./(STATES(:,4)+CONSTANTS(:,30))).*power(1.00000+power(STATES(:,10)./CONSTANTS(:,31), CONSTANTS(:,32)), -1.00000); ALGEBRAIC(:,15) = CONSTANTS(:,59).*(STATES(:,32)./(STATES(:,32)+CONSTANTS(:,58)) - STATES(:,15)./(STATES(:,15)+CONSTANTS(:,58))); ALGEBRAIC(:,14) = CONSTANTS(:,57).*CONSTANTS(:,56).*(STATES(:,28)./(STATES(:,28)+CONSTANTS(:,55)) - STATES(:,15)./(STATES(:,15)+CONSTANTS(:,55))); ALGEBRAIC(:,16) = CONSTANTS(:,60).*STATES(:,23).*(STATES(:,15)./(STATES(:,15)+CONSTANTS(:,22))).*(1.00000 - 1.00000./(1.00000+exp( - CONSTANTS(:,24).*( 1.00000.*(STATES(:,16) - CONSTANTS(:,23)))))); ALGEBRAIC(:,17) = CONSTANTS(:,61).*(STATES(:,16)./(STATES(:,16)+CONSTANTS(:,27))) - CONSTANTS(:,62).*(STATES(:,17)./(STATES(:,17)+CONSTANTS(:,28))); ALGEBRAIC(:,18) = CONSTANTS(:,63).*STATES(:,23).*(STATES(:,17)./(STATES(:,17)+CONSTANTS(:,30))).*power(1.00000+power(STATES(:,23)./CONSTANTS(:,31), CONSTANTS(:,32)), -1.00000); ALGEBRAIC(:,19) = CONSTANTS(:,92).*(STATES(:,16)./(STATES(:,16)+CONSTANTS(:,93))).*(1.00000 - 1.00000./(1.00000+exp( - CONSTANTS(:,95).*( 1.00000.*(STATES(:,26) - CONSTANTS(:,94)))))); ALGEBRAIC(:,21) = piecewise({VOI - (CONSTANTS(:,101)+CONSTANTS(:,99)+CONSTANTS(:,100))>=0.00000, 1.00000 }, 0.00000); ALGEBRAIC(:,23) = 1.00000+ CONSTANTS(:,98).*( CONSTANTS(:,104).*CONSTANTS(:,105).*(1.00000./(1.00000+exp( 1.00000.* - CONSTANTS(:,102).*(VOI - (CONSTANTS(:,99)+CONSTANTS(:,100)))))).*(1.00000 - ALGEBRAIC(:,21))); ALGEBRAIC(:,25) = CONSTANTS(:,96).*(STATES(:,26)./(STATES(:,26)+CONSTANTS(:,97))).*ALGEBRAIC(:,23); ALGEBRAIC(:,27) = CONSTANTS(:,81).*(STATES(:,32)./(STATES(:,32)+CONSTANTS(:,80)) - STATES(:,28)./(STATES(:,28)+CONSTANTS(:,80))); ALGEBRAIC(:,9) = CONSTANTS(:,43).*(STATES(:,8)./(STATES(:,8)+CONSTANTS(:,44)) - STATES(:,29)./(STATES(:,29)+CONSTANTS(:,44))); ALGEBRAIC(:,20) = CONSTANTS(:,69).*(STATES(:,21)./(STATES(:,21)+CONSTANTS(:,70)) - STATES(:,29)./(STATES(:,29)+CONSTANTS(:,70))); ALGEBRAIC(:,28) = CONSTANTS(:,84).*(STATES(:,29)./(STATES(:,29)+CONSTANTS(:,83)) - STATES(:,33)./(STATES(:,33)+CONSTANTS(:,83))); ALGEBRAIC(:,12) = (CONSTANTS(:,53)./CONSTANTS(:,54)).*(CONSTANTS(:,52)./CONSTANTS(:,15)).*( (CONSTANTS(:,14)./CONSTANTS(:,15)).*log(CONSTANTS(:,16)./STATES(:,14)) - CONSTANTS(:,12)); ALGEBRAIC(:,13) = (CONSTANTS(:,53)./CONSTANTS(:,54)).*CONSTANTS(:,17).*STATES(:,23).*STATES(:,14).*power(1.00000+STATES(:,23)./CONSTANTS(:,18), -1.00000); ALGEBRAIC(:,30) = CONSTANTS(:,90).*(STATES(:,30)./(STATES(:,30)+CONSTANTS(:,86))); ALGEBRAIC(:,29) = CONSTANTS(:,88).*( (STATES(:,27)./(STATES(:,27)+CONSTANTS(:,86))).*(STATES(:,23)./(STATES(:,23)+CONSTANTS(:,89)))); ALGEBRAIC(:,11) = (CONSTANTS(:,49)./CONSTANTS(:,13)).*( CONSTANTS(:,50).*power(CONSTANTS(:,51)./STATES(:,31) - 1.00000, -1.00000./CONSTANTS(:,48)) - STATES(:,12)); ALGEBRAIC(:,26) = (CONSTANTS(:,76)./CONSTANTS(:,54)).*( CONSTANTS(:,50).*power(CONSTANTS(:,51)./STATES(:,31) - 1.00000, -1.00000./CONSTANTS(:,77)) - STATES(:,25)); ALGEBRAIC(:,31) = CONSTANTS(:,106)+( CONSTANTS(:,98).*CONSTANTS(:,106).*CONSTANTS(:,109).*(1.00000./(1.00000+exp( ( 1.00000.* - CONSTANTS(:,108)).*(VOI - ((CONSTANTS(:,99)+CONSTANTS(:,103)) - 3.00000))))) - CONSTANTS(:,98).*CONSTANTS(:,106).*CONSTANTS(:,109).*(1.00000./(1.00000+exp( ( 1.00000.* - CONSTANTS(:,108)).*(VOI - (CONSTANTS(:,99)+CONSTANTS(:,107)+CONSTANTS(:,103)+3.00000)))))); ALGEBRAIC(:,34) = 2.00000.*(ALGEBRAIC(:,31)./CONSTANTS(:,78)).*(CONSTANTS(:,9) - STATES(:,31)); ALGEBRAIC(:,35) = 2.00000.*(ALGEBRAIC(:,31)./CONSTANTS(:,78)).*(CONSTANTS(:,79) - STATES(:,32)); ALGEBRAIC(:,22) = CONSTANTS(:,71).*(STATES(:,21)./(STATES(:,21)+CONSTANTS(:,72)) - STATES(:,33)./(STATES(:,33)+CONSTANTS(:,72))); ALGEBRAIC(:,36) = 2.00000.*(ALGEBRAIC(:,31)./CONSTANTS(:,78)).*(CONSTANTS(:,82) - STATES(:,33)); ALGEBRAIC(:,37) = CONSTANTS(:,110).*((power(STATES(:,35)./CONSTANTS(:,111), 2.00000)+ CONSTANTS(:,112).*power(STATES(:,35)./CONSTANTS(:,111), -0.500000).*(ALGEBRAIC(:,31)./CONSTANTS(:,111)))./(1.00000+ CONSTANTS(:,110).*CONSTANTS(:,112).*power(STATES(:,35)./CONSTANTS(:,111), -0.500000).*(1.00000./CONSTANTS(:,111)))); ALGEBRAIC(:,1) = (CONSTANTS(:,11)./CONSTANTS(:,13)).*(CONSTANTS(:,10)./CONSTANTS(:,15)).*( (CONSTANTS(:,14)./CONSTANTS(:,15)).*log(CONSTANTS(:,16)./STATES(:,1)) - CONSTANTS(:,12)); ALGEBRAIC(:,4) = (CONSTANTS(:,11)./CONSTANTS(:,13)).*CONSTANTS(:,17).*STATES(:,10).*STATES(:,1).*power(1.00000+STATES(:,10)./CONSTANTS(:,18), -1.00000); ALGEBRAIC(:,32) = piecewise({VOI>=CONSTANTS(:,99)&VOI<=CONSTANTS(:,99)+CONSTANTS(:,107), 1.00000 }, 0.00000); ALGEBRAIC(:,38) = CONSTANTS(:,98).*(CONSTANTS(:,124)+ CONSTANTS(:,125).*((VOI - CONSTANTS(:,99))./CONSTANTS(:,123)).*exp( - ( (VOI - CONSTANTS(:,99)).*(ALGEBRAIC(:,32)./CONSTANTS(:,123))))).*ALGEBRAIC(:,32); ALGEBRAIC(:,40) = ALGEBRAIC(:,38); ALGEBRAIC(:,39) = CONSTANTS(:,113) - STATES(:,9); ALGEBRAIC(:,41) = CONSTANTS(:,35).*STATES(:,7).*STATES(:,9) - CONSTANTS(:,36).*STATES(:,8).*ALGEBRAIC(:,39); ALGEBRAIC(:,43) = ALGEBRAIC(:,40).*CONSTANTS(:,85).*CONSTANTS(:,87).*(STATES(:,13)./(STATES(:,13)+CONSTANTS(:,86))); ALGEBRAIC(:,42) = CONSTANTS(:,114) - STATES(:,22); ALGEBRAIC(:,44) = CONSTANTS(:,66).*STATES(:,20).*STATES(:,22) - CONSTANTS(:,67).*STATES(:,21).*ALGEBRAIC(:,42); ALGEBRAIC(:,47) = (STATES(:,10)./2.00000).*( - CONSTANTS(:,118)+power((power(CONSTANTS(:,118), 2.00000)+ 4.00000.*CONSTANTS(:,118).*(CONSTANTS(:,117)./STATES(:,10) - 1.00000)), 1.0 ./ 2)); ALGEBRAIC(:,48) = CONSTANTS(:,33).*STATES(:,5).*ALGEBRAIC(:,47).*(ALGEBRAIC(:,39)./STATES(:,9)); ALGEBRAIC(:,50) = CONSTANTS(:,34).*STATES(:,6).*ALGEBRAIC(:,47); ALGEBRAIC(:,51) = CONSTANTS(:,37).*(STATES(:,12)./(STATES(:,12)+CONSTANTS(:,38))).*(ALGEBRAIC(:,47)./(ALGEBRAIC(:,47)+CONSTANTS(:,39))).*(STATES(:,7)./(STATES(:,7)+CONSTANTS(:,40))).*(1.00000 - 1.00000./(1.00000+exp( - CONSTANTS(:,42).*( 1.00000.*(STATES(:,10)./ALGEBRAIC(:,47) - 1.00000.*CONSTANTS(:,41)))))); ALGEBRAIC(:,45) = CONSTANTS(:,115) - STATES(:,11); ALGEBRAIC(:,52) = CONSTANTS(:,47).*STATES(:,11).*ALGEBRAIC(:,47) - CONSTANTS(:,46).*ALGEBRAIC(:,45).*STATES(:,10); ALGEBRAIC(:,10) = CONSTANTS(:,45).*(STATES(:,10)./(STATES(:,10)+0.00100000)); ALGEBRAIC(:,54) = power(CONSTANTS(:,118), 2.00000)+ 4.00000.*CONSTANTS(:,118).*(CONSTANTS(:,117)./STATES(:,10) - 1.00000); ALGEBRAIC(:,56) = (CONSTANTS(:,118)./2.00000+ CONSTANTS(:,118).*(CONSTANTS(:,117)./( STATES(:,10).*power(ALGEBRAIC(:,54), 1.0 ./ 2)))) - (1.00000+ 0.500000.*power(ALGEBRAIC(:,54), 1.0 ./ 2)); ALGEBRAIC(:,55) = (STATES(:,23)./2.00000).*( - CONSTANTS(:,118)+power((power(CONSTANTS(:,118), 2.00000)+ 4.00000.*CONSTANTS(:,118).*(CONSTANTS(:,117)./STATES(:,23) - 1.00000)), 1.0 ./ 2)); ALGEBRAIC(:,57) = CONSTANTS(:,64).*STATES(:,18).*ALGEBRAIC(:,55).*(ALGEBRAIC(:,42)./STATES(:,22)); ALGEBRAIC(:,59) = CONSTANTS(:,65).*STATES(:,19).*ALGEBRAIC(:,55); ALGEBRAIC(:,60) = CONSTANTS(:,68).*(STATES(:,25)./(STATES(:,25)+CONSTANTS(:,38))).*(ALGEBRAIC(:,55)./(ALGEBRAIC(:,55)+CONSTANTS(:,39))).*(STATES(:,20)./(STATES(:,20)+CONSTANTS(:,40))).*(1.00000 - 1.00000./(1.00000+exp( 1.00000.* - CONSTANTS(:,42).*(STATES(:,23)./ALGEBRAIC(:,55) - 1.00000.*CONSTANTS(:,41))))); ALGEBRAIC(:,46) = CONSTANTS(:,116) - STATES(:,24); ALGEBRAIC(:,61) = CONSTANTS(:,75).*STATES(:,24).*ALGEBRAIC(:,55) - CONSTANTS(:,74).*ALGEBRAIC(:,46).*STATES(:,23); ALGEBRAIC(:,53) = 3.00000.*ALGEBRAIC(:,51); ALGEBRAIC(:,33) = 2.00000.*(ALGEBRAIC(:,31)./CONSTANTS(:,78)).*(STATES(:,34) - CONSTANTS(:,91)); ALGEBRAIC(:,62) = 3.00000.*ALGEBRAIC(:,60); ALGEBRAIC(:,24) = CONSTANTS(:,73).*(STATES(:,23)./(STATES(:,23)+0.00100000)); ALGEBRAIC(:,63) = power(CONSTANTS(:,118), 2.00000)+ 4.00000.*CONSTANTS(:,118).*(CONSTANTS(:,117)./STATES(:,23) - 1.00000); ALGEBRAIC(:,64) = (CONSTANTS(:,118)./2.00000+ CONSTANTS(:,118).*(CONSTANTS(:,117)./( STATES(:,23).*power(ALGEBRAIC(:,63), 1.0 ./ 2)))) - (1.00000+ 0.500000.*power(ALGEBRAIC(:,63), 1.0 ./ 2)); ALGEBRAIC(:,2) = CONSTANTS(:,111).*( (CONSTANTS(:,119)+CONSTANTS(:,120)).*(1.00000 - STATES(:,36)./CONSTANTS(:,122)) - (CONSTANTS(:,120)+CONSTANTS(:,121)).*(1.00000 - STATES(:,35)./CONSTANTS(:,111))); ALGEBRAIC(:,3) = piecewise({VOI - (CONSTANTS(:,107)+CONSTANTS(:,99))>=0.00000, 1.00000 }, 0.00000); ALGEBRAIC(:,49) = CONSTANTS(:,117) - (STATES(:,10)+ALGEBRAIC(:,47)); ALGEBRAIC(:,58) = CONSTANTS(:,117) - (STATES(:,23)+ALGEBRAIC(:,55)); 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