Model Mathematics

Component: Environment

Component: parameters

W_c=80ifExpType=1800ifExpType=20.8071.044ifExpType=3ExpType=480otherwise V_mito=0.2882ifExpType=30.056ifExpType=40otherwise V_cyto=0.6801ifExpType=30.894ifExpType=41otherwise X_HK=0.10710811279097ifExpType=1StateType=30otherwise

Component: thermodynamic_data

RT=8.31428+273.151 e 3ifExpType=18.31437+273.151 e 3otherwise

Component: P_ATP

K_H=110-6.59 K_Mg=110-3.82 K_K=110-1.013 P_ATP_x=1+H_xK_H+Mg_xK_Mg+K_xK_K P_ATP_i=1+H_iK_H+Mg_iK_Mg+K_iK_K P_ATP_c=1+H_cK_H+Mg_cK_Mg+K_cK_K uATP_x=ATP_x1+H_xK_HP_ATP_x mATP_c=ATP_cMg_cK_MgP_ATP_c

Component: P_ADP

K_H=110-6.42 K_Mg=110-2.79 K_K=110-0.882 P_ADP_x=1+H_xK_H+Mg_xK_Mg+K_xK_K P_ADP_i=1+H_iK_H+Mg_iK_Mg+K_iK_K P_ADP_c=1+H_cK_H+Mg_cK_Mg+K_cK_K uADP_x=ADP_x1+H_xK_HP_ADP_x mADP_c=ADP_cMg_cK_MgP_ADP_c

Component: P_AMP

K_H=110-6.22 K_Mg=110-1.86 K_K=110-0.6215 P_AMP_x=1+H_xK_H+Mg_xK_Mg+K_xK_K P_AMP_i=1+H_iK_H+Mg_iK_Mg+K_iK_K P_AMP_c=1+H_cK_H+Mg_cK_Mg+K_cK_K uAMP_x=AMP_x1+H_xK_HP_AMP_x

Component: P_GTP

P_GTP_x=P_ATP_x P_GTP_i=P_ATP_i P_GTP_c=P_ATP_c K_H=K_H_ATP K_Mg=K_Mg_ATP K_K=K_K_ATP uGTP_x=GTP_x1+H_xK_HP_GTP_x

Component: P_GDP

P_GDP_x=P_ADP_x P_GDP_i=P_ADP_i P_GDP_c=P_ADP_c K_H=K_H_ADP K_Mg=K_Mg_ADP K_K=K_K_ADP uGDP_x=GDP_x1+H_xK_HP_GDP_x

Component: P_PI

K_H=110-6.71 K_Mg=110-1.69 K_K=1100.0074 P_PI_x=1+H_xK_H+Mg_xK_Mg+K_xK_K P_PI_i=1+H_iK_H+Mg_iK_Mg+K_iK_K P_PI_c=1+H_cK_H+Mg_cK_Mg+K_cK_K hPI_x=PI_xH_xK_HP_PI_x hPI_i=PI_iH_iK_HP_PI_i

Component: P_COASH

K_H=110-8.13 P_COASH_x=1+H_xK_H P_COASH_i=1+H_iK_H P_COASH_c=1+H_cK_H

Component: P_OAA

K_Mg=110-0.8629 P_OAA_x=1+Mg_xK_Mg P_OAA_i=1+Mg_iK_Mg P_OAA_c=1+Mg_cK_Mg

Component: P_CIT

K_H=110-5.63 K_Mg=110-3.37 K_K=110-0.339 P_CIT_x=1+H_xK_H+Mg_xK_Mg+K_xK_K P_CIT_i=1+H_iK_H+Mg_iK_Mg+K_iK_K P_CIT_c=1+H_cK_H+Mg_cK_Mg+K_cK_K uCIT_x=CIT_x1+H_xK_HP_CIT_x uCIT_i=CIT_i1+H_iK_HP_CIT_i hCIT_x=CIT_xH_xK_HP_CIT_x hCIT_i=CIT_iH_iK_HP_CIT_i

Component: P_ICIT

K_H=110-5.64 K_Mg=110-2.46 P_ICIT_x=1+H_xK_H+Mg_xK_Mg P_ICIT_i=1+H_iK_H+Mg_iK_Mg P_ICIT_c=1+H_cK_H+Mg_cK_Mg

Component: P_SCOA

K_H=110-3.96 P_SCOA_x=1+H_xK_H P_SCOA_i=1+H_iK_H P_SCOA_c=1+H_cK_H

Component: P_SUC

K_H=110-5.13 K_Mg=110-1.17 K_K=110-0.3525 P_SUC_x=1+H_xK_H+Mg_xK_Mg+K_xK_K P_SUC_i=1+H_iK_H+Mg_iK_Mg+K_iK_K P_SUC_c=1+H_cK_H+Mg_cK_Mg+K_cK_K

Component: P_FUM

K_H=110-4.1 P_FUM_x=1+H_xK_H P_FUM_i=1+H_iK_H P_FUM_c=1+H_cK_H

Component: P_MAL

K_H=110-4.75 K_Mg=110-1.55 K_K=1100.107 P_MAL_x=1+H_xK_H+Mg_xK_Mg+K_xK_K P_MAL_i=1+H_iK_H+Mg_iK_Mg+K_iK_K P_MAL_c=1+H_cK_H+Mg_cK_Mg+K_cK_K

Component: P_CO2_tot

K_H=110-9.82 P_CO2_tot_x=1+H_xK_H P_CO2_tot_i=1+H_iK_H P_CO2_tot_c=1+H_cK_H

Component: P_PYR

K_Mg=110-1.02 P_PYR_x=1+Mg_xK_Mg P_PYR_i=1+Mg_iK_Mg P_PYR_c=1+Mg_cK_Mg

Component: P_G6P

K_H=110-5.91 P_G6P_x=1+H_xK_H P_G6P_i=1+H_iK_H P_G6P_c=1+H_cK_H

Component: P_GLU

K_H=110-4.06 K_Mg=110-1.82 P_GLU_x=1+H_xK_H+Mg_xK_Mg P_GLU_i=1+H_iK_H+Mg_iK_Mg P_GLU_c=1+H_cK_H+Mg_cK_Mg

Component: P_ASP

K_H=110-3.65 K_Mg=110-2.32 P_ASP_x=1+H_xK_H+Mg_xK_Mg P_ASP_i=1+H_iK_H+Mg_iK_Mg P_ASP_c=1+H_cK_H+Mg_cK_Mg

Component: P_GLC

P_GLC_c=1

Component: P_NAD

P_NAD_x=1

Component: P_NADH

P_NADH_x=1

Component: P_QH2

P_QH2_x=1

Component: P_COQ

P_COQ_x=1

Component: P_ACCOA

P_ACCOA_x=1

Component: P_AKG

P_AKG_x=1

Component: P_O2

P_O2_x=1

Component: P_FADH2

P_FADH2_x=1

Component: P_FAD

P_FAD_x=1

Component: P_H

P_H_x=1

Component: P_Mg

P_Mg_x=1

Component: P_K

P_K_x=1

Component: J_pdh

dGr0_pdh=dGf1_CO2_tot+dGf1_ACCOA+dGf1_NADH-dGf1_PYR-dGf1_COASH-dGf1_NAD-dGf1_H2O K0_eq_pdh=1-dGr0_pdhRT K_eq_pdh=K0_eq_pdhP_CO2_tot_xP_ACCOA_xP_NADH_xH_xP_PYR_xP_COASH_xP_NAD_x alpha_i1=1+ACCOA_xK_iACCOA alpha_i2=1+NADH_xK_iNADH J_pdh=V_mfPYR_xCOASH_xNAD_x-CO2_tot_xACCOA_xNADH_xK_eq_pdhK_mCalpha_i2PYR_xCOASH_x+K_mBalpha_i1PYR_xNAD_x+K_mACOASH_xNAD_x+PYR_xCOASH_xNAD_xifPYR_x>minConCOASH_x>minConNAD_x>minCon0otherwise

Component: J_cits

dGr0_cits=dGf1_COASH+dGf1_CIT-dGf1_ACCOA-dGf1_OAA-dGf1_H2O K0_eq_cits=1-dGr0_citsRT K_eq_cits=K0_eq_citsP_CIT_xP_COASH_xH_x2P_ACCOA_xP_OAA_x alpha_i1=1+uCIT_xK_iCIT alpha_i2=1+uATP_xK_iATP+uADP_xK_iADP+uAMP_xK_iAMP+COASH_xK_iCOASH+SCOA_xK_iSCOA J_cits=V_mfACCOA_xOAA_x-COASH_xCIT_xK_eq_citsK_iaK_mBalpha_i1+K_mAalpha_i1ACCOA_x+K_mBalpha_i2OAA_x+OAA_xACCOA_x

Component: J_acon

dGr0_acon=dGf1_ICIT-dGf1_CIT K0_eq_acon=-dGr0_aconRT K_eq_acon=K0_eq_aconP_ICIT_xP_CIT_x V_mr=V_mfK_mPK_mAK_eq_acon J_acon=V_mfV_mrCIT_x-ICIT_xK_eq_aconK_mAV_mr+V_mrCIT_x+V_mfICIT_xK_eq_acon

Component: J_isod

dGr0_isod=dGf1_AKG+dGf1_NADH+dGf1_CO2_tot-dGf1_ICIT-dGf1_NAD-dGf1_H2O K0_eq_isod=1-dGr0_isodRT K_eq_isod=K0_eq_isodP_CO2_tot_xP_AKG_xP_NADH_xH_x2P_NAD_xP_ICIT_x alpha_i=1+K_aADPfADP_x1+fATP_xK_iATP J_isod=V_mf1-CO2_tot_xAKG_xNADH_xK_eq_isodNAD_xICIT_x1+K_mBICIT_xn_Halpha_i+K_mANAD_x1+K_ibICIT_xn_Halpha_i+NADH_xalpha_iK_iqifNAD_x>minConICIT_x>minCon0otherwise

Component: J_akgd

dGr0_akgd=dGf1_CO2_tot+dGf1_SCOA+dGf1_NADH-dGf1_AKG-dGf1_COASH-dGf1_NAD-dGf1_H2O K0_eq_akgd=1-dGr0_akgdRT K_eq_akgd=K0_eq_akgdP_CO2_tot_xP_SCOA_xP_NADH_xH_xP_COASH_xP_AKG_xP_NAD_x alpha_i=1+K_aADPfADP_x1+fATP_xK_iATP J_akgd=V_mf1-CO2_tot_xSCOA_xNADH_xK_eq_akgdAKG_xCOASH_xNAD_x1+K_mAAKG_xalpha_i+K_mBCOASH_x1+SCOA_xK_iq+K_mCNAD_x1+NADH_xK_ir11+NADH_xK_ir2ifAKG_x>minConCOASH_x>minConNAD_x>minCon0otherwise

Component: J_scoas

dGr0_scoas=dGf1_COASH+dGf1_SUC+dGf1_GTP-dGf1_GDP-dGf1_SCOA-dGf1_Pi K0_eq_scoas=1-dGr0_scoasRT K_eq_scoas=K0_eq_scoasP_COASH_xP_SUC_xP_GTP_xH_xP_GDP_xP_SCOA_xP_PI_x V_mr=V_mfK_mPK_iqK_irK_eq_scoasK_iaK_ibK_mC J_scoas=V_mfV_mrGDP_xSCOA_xPI_x-COASH_xSUC_xGTP_xK_eq_scoasV_mrK_iaK_ibK_mC+V_mrK_ibK_mCGDP_x+V_mrK_iaK_mBPI_x+V_mrK_mCGDP_xSCOA_x+V_mrK_mBGDP_xPI_x+V_mrK_mASCOA_xPI_x+V_mrGDP_xSCOA_xPI_x+V_mfK_irK_mQCOASH_xK_eq_scoas+V_mfK_iqK_mPGTP_xK_eq_scoas+V_mfK_mRCOASH_xSUC_xK_eq_scoas+V_mfK_mQCOASH_xGTP_xK_eq_scoas+V_mfK_mPSUC_xGTP_xK_eq_scoas+V_mfCOASH_xSUC_xGTP_xK_eq_scoas+V_mfK_mQK_irGDP_xCOASH_xK_iaK_eq_scoas+V_mrK_iaK_mBPI_xGTP_xK_ir+V_mfK_mQK_irGDP_xSCOA_xCOASH_xK_iaK_ibK_eq_scoas+V_mrK_mASCOA_xPI_xGTP_xK_ir+V_mfK_mRGDP_xCOASH_xSUC_xK_iaK_eq_scoas+V_mrK_iaK_mBPI_xSUC_xGTP_xK_iqK_ir+V_mfK_irK_mQGDP_xSCOA_xPI_xCOASH_xK_iaK_ibK_icK_eq_scoas+V_mfK_ipK_mRGDP_xSCOA_xPI_xSUC_xK_iaK_ibK_icK_eq_scoas+V_mfK_mRGDP_xSCOA_xCOASH_xSUC_xK_iaK_ibK_eq_scoas+V_mrK_mASCOA_xPI_xSUC_xGTP_xK_iqK_ir+V_mrK_mAK_icSCOA_xCOASH_xSUC_xGTP_xK_ipK_iqK_ir+V_mrK_iaK_mBPI_xCOASH_xSUC_xGTP_xK_ipK_iqK_ir+V_mfK_mRGDP_xSCOA_xPI_xCOASH_xSUC_xK_iaK_ibK_icK_eq_scoas+V_mrK_mASCOA_xPI_xCOASH_xSUC_xGTP_xK_ipK_iqK_ir

Component: J_sdh

dGr0_sdh=dGf1_QH2+dGf1_FUM-dGf1_SUC-dGf1_COQ K0_eq_sdh=-dGr0_sdhRT K_eq_sdh=K0_eq_sdhP_FUM_xP_QH2_xP_SUC_xP_COQ_x V_mr=V_mfK_mQH2K_iqK_eq_sdhK_iaK_mCOQ alpha_i=1+OAA_xK_iOAA+SUC_xK_aSUC+FUM_xK_aFUM1+SUC_xK_aSUC+FUM_xK_aFUM J_sdh=V_mfV_mrSUC_xCOQ_x-QH2_xFUM_xK_eq_sdhV_mrK_iaK_mCOQalpha_i+V_mrK_mCOQSUC_x+V_mrK_mSUCalpha_iCOQ_x+V_mfK_mFUMalpha_iQH2_xK_eq_sdh+V_mfK_mQH2FUM_xK_eq_sdh+V_mrSUC_xCOQ_x+V_mfK_mFUMSUC_xQH2_xK_eq_sdhK_ia+V_mrK_mSUCCOQ_xFUM_xK_iq+V_mfQH2_xFUM_xK_eq_sdh

Component: J_fum

dGr0_fum=dGf1_MAL-dGf1_FUM-dGf1_H2O K0_eq_fum=-dGr0_fumRT K_eq_fum=K0_eq_fumP_MAL_xP_FUM_x V_mr=V_mfK_mMALK_eq_fumK_mFUM alpha_i=1+CIT_xK_iCIT+fATP_xK_iATP+fADP_xK_iADP+fGTP_xK_iGTP+fGDP_xK_iGDP J_fum=V_mrV_mfFUM_x-MAL_xK_eq_fumK_mFUMV_mralpha_i+V_mrFUM_x+V_mfMAL_xK_eq_fum

Component: J_mdh

dGr0_mdh=dGf1_OAA+dGf1_NADH-dGf1_NAD-dGf1_MAL K0_eq_mdh=1-dGr0_mdhRT K_eq_mdh=K0_eq_mdhP_OAA_xP_NADH_xH_xP_MAL_xP_NAD_x V_mr=V_mfK_iqK_mOAAK_eq_mdhK_iaK_mMAL alpha_i=1+fATP_xK_iATP+fADP_xK_iADP+fAMP_xK_iAMP J_mdh=V_mfV_mrNAD_xMAL_x-OAA_xNADH_xK_eq_mdhV_mrK_iaK_mMALalpha_i+V_mrK_mMALNAD_x+V_mrK_mNADalpha_iMAL_x+V_mfK_mNADHalpha_iOAA_xK_eq_mdh+V_mfK_mOAANADH_xK_eq_mdh+V_mrNAD_xMAL_x+V_mfK_mNADHNAD_xOAA_xK_eq_mdhK_ia+V_mfOAA_xNADH_xK_eq_mdh+V_mrK_mNADMAL_xNADH_xK_iq+V_mrNAD_xMAL_xOAA_xK_ip+V_mfMAL_xOAA_xNADH_xK_ibK_eq_mdh

Component: J_ndk

dGr0_ndk=dGf1_GDP+dGf1_ATP-dGf1_GTP-dGf1_ADP K0_eq_ndk=-dGr0_ndkRT K_eq_ndk=K0_eq_ndkP_GDP_xP_ATP_xP_GTP_xP_ADP_x V_mr=V_mfK_mQK_ipK_eq_ndkK_iaK_mB alpha_i=1+fAMP_xK_iAMP J_ndk_f=V_mfV_mralpha_iGTP_xADP_xV_mrK_mBGTP_x+V_mrK_mAADP_x+V_mfK_mQGDP_xK_eq_ndk+V_mfK_mPATP_xK_eq_ndk+V_mrGTP_xADP_x+V_mfK_mQGTP_xGDP_xK_eq_ndkK_ia+V_mfGDP_xATP_xK_eq_ndk+V_mrK_mAADP_xATP_xK_iqifGTP_x>minConADP_x>minCon0otherwise J_ndk=J_ndk_f-V_mfV_mralpha_iGDP_xATP_xK_eq_ndkV_mrK_mBGTP_x+V_mrK_mAADP_x+V_mfK_mQGDP_xK_eq_ndk+V_mfK_mPATP_xK_eq_ndk+V_mrGTP_xADP_x+V_mfK_mQGTP_xGDP_xK_eq_ndkK_ia+V_mfGDP_xATP_xK_eq_ndk+V_mrK_mAADP_xATP_xK_iqifGDP_x>minConATP_x>minConJ_ndk_fotherwise

Component: J_got

dGr0_got=dGf1_OAA+dGf1_GLU-dGf1_ASP-dGf1_AKG K0_eq_got=-dGr0_gotRT K_eq_got=K0_eq_gotP_GLU_xP_OAA_xP_ASP_xP_AKG_x V_mr=V_mfK_mQK_ipK_eq_gotK_iaK_mB alpha_i=1+AKG_xK_iAKG J_got_f=V_mfV_mrASP_xAKG_xV_mrK_mBASP_x+V_mrK_mAalpha_iAKG_x+V_mfK_mQalpha_iOAA_xK_eq_got+V_mfK_mPGLU_xK_eq_got+V_mrASP_xAKG_x+V_mfK_mQASP_xOAA_xK_eq_gotK_ia+V_mfOAA_xGLU_xK_eq_got+V_mrK_mAAKG_xGLU_xK_iqifASP_x>minConAKG_x>minCon0otherwise J_got=J_got_f-V_mfV_mrOAA_xGLU_xK_eq_gotV_mrK_mBASP_x+V_mrK_mAalpha_iAKG_x+V_mfK_mQalpha_iOAA_xK_eq_got+V_mfK_mPGLU_xK_eq_got+V_mrASP_xAKG_x+V_mfK_mQASP_xOAA_xK_eq_gotK_ia+V_mfOAA_xGLU_xK_eq_got+V_mrK_mAAKG_xGLU_xK_iqifOAA_x>minConGLU_x>minConJ_got_fotherwise

Component: J_PYRH

J_PYRH=X_PYRHPYR_iP_PYR_iH_i-PYR_xP_PYR_xH_x

Component: J_GLUH

J_GLUH=X_GLUHGLU_iP_GLU_iH_i-GLU_xP_GLU_xH_x

Component: J_CITMAL

J_CITMAL=X_CITMALhCIT_iMAL_xP_MAL_x-hCIT_xMAL_iP_MAL_i

Component: J_AKGMAL

J_AKGMAL=X_AKGMALAKG_iMAL_x-AKG_xMAL_iK_mAKGiK_mMALx2+MAL_iK_mMALi+MAL_xK_mMALx+AKG_iK_mAKGi+AKG_xK_mAKGx+MAL_iAKG_xK_mMALiK_mAKGx+MAL_xAKG_iK_mMALxK_mAKGi

Component: J_MALPI

J_MALPI=X_MALPIMAL_iP_MAL_iPI_xP_PI_x-MAL_xP_MAL_xPI_iP_PI_i

Component: J_ASPGLU

K_eqASPGLU=-FdPsiRTP_ASP_xP_GLU_iP_ASP_iP_GLU_x K_hASPGLU=110-pKa_ASPGLU J_ASPGLU=X_ASPGLUK_eqASPGLUASP_iGLU_xH_x-ASP_xGLU_iH_iK_eqASPGLUK_iASPiK_iGLUxK_hASPGLU2m+mASP_iK_iASPi+ASP_iGLU_xH_xK_iASPiK_iGLUxK_hASPGLU+mASP_xH_iK_iASPxK_hASPGLU+ASP_xGLU_iH_iK_iASPxK_iGLUiK_hASPGLU+mASP_xK_iASPx+mASP_iH_xK_iASPiK_hASPGLU+mH_xK_hASPGLU+mGLU_iH_iK_iGLUiK_hASPGLU+mH_iK_hASPGLU+mGLU_xH_xK_iGLUxK_hASPGLU

Component: J_SUCMAL

J_SUCMAL=X_SUCMALSUC_iP_SUC_iMAL_xP_MAL_x-SUC_xP_SUC_xMAL_iP_MAL_i

Component: J_PYRt

J_PYRt=gammap_TIPYR_c-PYR_i

Component: J_CITt

J_CITt=gammap_TICIT_c-CIT_i

Component: J_MALt

J_MALt=gammap_TIMAL_c-MAL_i

Component: J_AKGt

J_AKGt=gammap_TIAKG_c-AKG_i

Component: J_SUCt

J_SUCt=gammap_TISUC_c-SUC_i

Component: J_GLUt

J_GLUt=gammap_TIGLU_c-GLU_i

Component: J_ASPt

J_ASPt=gammap_TIASP_c-ASP_i

Component: J_FUMt

J_FUMt=gammazeroFUM_c-FUM_i

Component: J_ICITt

J_ICITt=gammap_TIICIT_c-ICIT_i

Component: J_ADPt

J_ADPt=gammap_AADP_c-ADP_i

Component: J_ATPt

J_ATPt=gammap_AATP_c-ATP_i

Component: J_AMPt

J_AMPt=gammap_AAMP_c-AMP_i

Component: J_PIt

J_PIt=gammap_PIPI_c-PI_i

Component: J_C1

dGr0_C1=dGf1_NAD+dGf1_QH2-dGf1_NADH-dGf1_COQ K_eq_C1=1-dGr0_C1+4FdPsiRT K_app_C1=K_eq_C1H_x5H_i4 J_C1=X_C1K_app_C1NADH_xCOQ_x-NAD_xQH2_x

Component: J_C3

dGr0_C3=dGf1_COQ+2dGf1_Cred-dGf1_QH2-2dGf1_Cox K_eq_C3=1-dGr0_C3+2FdPsiRT K_app_C3=K_eq_C3H_x2H_x4 QH2_x=QH2_x_inifQH2_x_in>minConminConotherwise COQ_x=COQ_x_inifCOQ_x_in>minConminConotherwise J_C3=X_C31+PI_xk_PI_11+PI_xk_PI_2K_app_C3Cox_iQH2_x-Cred_iCOQ_x

Component: J_C4

dGr0_C4=2dGf1_Cox+dGf1_H2O-2dGf1_Cred-0.5dGf1_O2 K_eq_C4=-dGr0_C4+4FdPsiRT K_app_C4=K_eq_C4H_x4H_i212 O2_x=O2_x_inifO2_x_in>minConminConotherwise J_C4=X_C4O2_xO2_x+k_O2FdPsiRTCred_icytC_totK_app_C412Cred_iO2_x114-Cox_i

Component: J_F1

dGr0_F1=dGf1_ATP+dGf1_H2O-dGf1_ADP-dGf1_PI K_eq_F1=-dGr0_F1-n_AFdPsiRT1 K_app_F1=K_eq_F1H_in_AH_xn_A-1P_ATP_xP_ADP_xP_PI_x J_F1=X_F1K_app_F1ADP_xPI_x-ATP_x

Component: J_ANT

J_ANT=X_ANTADP_iP_ADP_iADP_iP_ADP_i+ATP_iP_ATP_ithetaFdPsiRT-ADP_xP_ADP_xADP_xP_ADP_x+ATP_xP_ATP_xthetaF-1dPsiRTADP_iP_ADP_iADP_iP_ADP_i+k_mADPifADP_i>minCondATP_x>minCond0otherwise

Component: J_PIHt

J_PIHt=X_PIHthPI_iH_i-hPI_xH_xk_PIHt1+hPI_ik_PIHt1+hPI_xk_PIHt

Component: J_Hle

J_Hle=X_HledPsiH_iFdPsiRT-H_xFdPsiRT-1if|dPsi|>minCondX_HleRTH_i-H_xFotherwise

Component: J_KH

J_KH=X_KHK_iH_x-K_xH_i

Component: J_HK

dGr0_HK=dGf1_G6P+dGf1_ADP-dGf1_GLC-dGf1_ATP K_eq_HK=1-dGr0_HKRT Kapp_HK=K_eq_HKP_G6P_cP_ADP_cH_cP_ATP_cP_GLC_c Kapp_HK_m=Kapp_HKKMg_ATPP_ATP_cKMg_ADPP_ADP_c J_HK=X_HKK_ibK_mAmATP_cGLC_c-G6P_cmADP_cKapp_HK_m1+mATP_cK_ia+GLC_cK_ib+mATP_cGLC_cK_ibK_mA+G6P_cK_ip+mADP_cK_iq+G6P_cmADP_cK_iqK_mP+G6P_cGLC_cKi_G6PK_ib

Component: J_CKc

Cr_c=CR_tot-PCr_c K_CK=50.78RT1 J_CKc=0ifExpType=1ExpType=2ExpType=5X_CKK_CKADP_cP_ADP_cPCr_cH_c-ATP_cP_ATP_cCr_cotherwise

Component: J_AK

dGr0_AK=dGf1_ATP+dGf1_AMP-2dGf1_ADP K_eq_AK=-dGr0_AKRT Kapp_AKi=K_eq_AKP_ATP_iP_AMP_iP_ADP_iP_ADP_i Kapp_AKc=K_eq_AKP_ATP_cP_AMP_cP_ADP_cP_ADP_c J_AKi=0ifExpType=1ExpType=2ExpType=5X_AKKapp_AKiADP_iADP_i-AMP_iATP_iotherwise J_AKc=0ifExpType=1ExpType=2ExpType=5X_AKKapp_AKcADP_cADP_c-AMP_cATP_cotherwise

Component: ddPsi_dt

ddtimedPsi=4J_C1+2J_C3+4J_C4-n_AJ_F1-J_ANT-J_Hle+J_ASPGLUC_IM

Component: dNAD_x_dt

NAD_x=NAD_tot-NADH_x dNAD_x_dt=-dNADH_x_dt

Component: dCOQ_x_dt

COQ_x=Q_tot-QH2_x dCOQ_x_dt=-dQH2_x_dt

Component: dCox_i_dt

Cox_i=cytC_tot-Cred_i

Component: dATP_x_dt

ddtimeATP_x=J_ndk+J_F1-J_ANTW_x dATP_x_dt=J_ndk+J_F1-J_ANTW_x

Component: dADP_x_dt

ddtimeADP_x=-J_ndk-J_F1+J_ANTW_x dADP_x_dt=-J_ndk-J_F1+J_ANTW_x

Component: dAMP_x_dt

ddtimeAMP_x=0

Component: dGTP_x_dt

ddtimeGTP_x=J_scoas-J_ndkW_x dGTP_x_dt=J_scoas-J_ndkW_x

Component: dGDP_x_dt

ddtimeGDP_x=-J_scoas+J_ndkW_x dGDP_x_dt=-J_scoas+J_ndkW_x

Component: dPI_x_dt

ddtimePI_x=-J_scoas-J_F1+J_PIHt-J_MALPIW_x dPI_x_dt=-J_scoas-J_F1+J_PIHt-J_MALPIW_x

Component: dNADH_x_dt

ddtimeNADH_x=J_pdh+J_isod+J_akgd+J_mdh-J_C1W_x dNADH_x_dt=J_pdh+J_isod+J_akgd+J_mdh-J_C1W_x

Component: dQH2_x_dt

ddtimeQH2_x=J_sdh+J_C1-J_C3W_x dQH2_x_dt=J_sdh+J_C1-J_C3W_x

Component: dPYR_x_dt

ddtimePYR_x=-J_pdh+J_PYRHW_x dPYR_x_dt=-J_pdh+J_PYRHW_x

Component: dACCOA_x_dt

ddtimeACCOA_x=J_pdh-J_citsW_x dACCOA_x_dt=J_pdh-J_citsW_x

Component: dCIT_x_dt

ddtimeCIT_x=-J_acon+J_CITMAL+J_citsW_x dCIT_x_dt=-J_acon+J_CITMAL+J_citsW_x

Component: dICIT_x_dt

ddtimeICIT_x=J_acon-J_isodW_x dICIT_x_dt=J_acon-J_isodW_x

Component: dAKG_x_dt

ddtimeAKG_x=J_isod-J_akgd-J_got+J_AKGMALW_x dAKG_x_dt=J_isod-J_akgd-J_got+J_AKGMALW_x

Component: dSCOA_x_dt

ddtimeSCOA_x=J_akgd-J_scoasW_x dSCOA_x_dt=J_akgd-J_scoasW_x

Component: dCOASH_x_dt

ddtimeCOASH_x=-J_pdh-J_akgd+J_scoas+J_citsW_x dCOASH_x_dt=-J_pdh-J_akgd+J_scoas+J_citsW_x

Component: dSUC_x_dt

ddtimeSUC_x=J_scoas-J_sdh+J_SUCMALW_x dSUC_x_dt=J_scoas-J_sdh+J_SUCMALW_x

Component: dFUM_x_dt

ddtimeFUM_x=J_sdh-J_fumW_x dFUM_x_dt=J_sdh-J_fumW_x

Component: dMAL_x_dt

ddtimeMAL_x=J_fum-J_mdh+J_MALPI-J_AKGMAL-J_CITMAL-J_SUCMALW_x dMAL_x_dt=J_fum-J_mdh+J_MALPI-J_AKGMAL-J_CITMAL-J_SUCMALW_x

Component: dOAA_x_dt

ddtimeOAA_x=-J_cits+J_mdh+J_gotW_x dOAA_x_dt=-J_cits+J_mdh+J_gotW_x

Component: dGLU_x_dt

ddtimeGLU_x=J_got+J_GLUH-J_ASPGLUW_x dGLU_x_dt=J_got+J_GLUH-J_ASPGLUW_x

Component: dASP_x_dt

ddtimeASP_x=-J_got+J_ASPGLUW_x dASP_x_dt=-J_got+J_ASPGLUW_x

Component: dO2_x_dt

ddtimeO2_x=0

Component: dCO2_tot_x_dt

ddtimeCO2_tot_x=0

Component: dCred_i_dt

ddtimeCred_i=2J_C3-2J_C4W_i

Component: dATP_i_dt

ddtimeATP_i=J_ATPt+J_ANT+J_AKiW_i

Component: dADP_i_dt

ddtimeADP_i=J_ADPt-J_ANT-2J_AKiW_i

Component: dAMP_i_dt

ddtimeAMP_i=J_AMPt+J_AKiW_i

Component: dPI_i_dt

ddtimePI_i=-J_PIHt+J_PIt+J_MALPIW_i

Component: dPYR_i_dt

ddtimePYR_i=-J_PYRH+J_PYRtW_i

Component: dCIT_i_dt

ddtimeCIT_i=-J_CITMAL+J_CITtW_i

Component: dICIT_i_dt

ddtimeICIT_i=J_ICITtW_i

Component: dAKG_i_dt

ddtimeAKG_i=-J_AKGMAL+J_AKGtW_i

Component: dSUC_i_dt

ddtimeSUC_i=J_SUCt-J_SUCMALW_i

Component: dFUM_i_dt

ddtimeFUM_i=J_FUMtW_i

Component: dMAL_i_dt

ddtimeMAL_i=-J_MALPI+J_MALt+J_AKGMAL+J_CITMAL+J_SUCMALW_i

Component: dGLU_i_dt

ddtimeGLU_i=-J_GLUH+J_ASPGLU+J_GLUtW_i

Component: dASP_i_dt

ddtimeASP_i=-J_ASPGLU+J_ASPtW_i

Component: dH_i_dt

H_i=H_c

Component: dMg_i_dt

Mg_i=Mg_c

Component: dK_i_dt

K_i=K_c

Component: dPYR_c_dt

Rm_cyto=0ifStateType=0ExpType=3ExpType=4ExpType=51ifExpType=1ExpType=2ExpType=6V_mitoV_cytootherwise ddtimePYR_c=-Rm_cytoJ_PYRtW_c

Component: dCIT_c_dt

Rm_cyto=0ifStateType=0ExpType=51ifExpType=1ExpType=2ExpType=6V_mitoV_cytootherwise ddtimeCIT_c=-Rm_cytoJ_CITtW_c

Component: dICIT_c_dt

Rm_cyto=0ifStateType=0ExpType=51ifExpType=1ExpType=2ExpType=6V_mitoV_cytootherwise ddtimeICIT_c=-Rm_cytoJ_ICITtW_c

Component: dAKG_c_dt

Rm_cyto=0ifStateType=0ExpType=51ifExpType=1ExpType=2ExpType=6V_mitoV_cytootherwise ddtimeAKG_c=-Rm_cytoJ_AKGtW_c

Component: dSUC_c_dt

Rm_cyto=0ifStateType=0ExpType=51ifExpType=1ExpType=2ExpType=6V_mitoV_cytootherwise ddtimeSUC_c=-Rm_cytoJ_SUCtW_c

Component: dFUM_c_dt

Rm_cyto=0ifStateType=0ExpType=51ifExpType=1ExpType=2ExpType=6V_mitoV_cytootherwise ddtimeFUM_c=-Rm_cytoJ_FUMtW_c

Component: dMAL_c_dt

Rm_cyto=0ifStateType=0ExpType=51ifExpType=1ExpType=2ExpType=6V_mitoV_cytootherwise ddtimeMAL_c=-Rm_cytoJ_MALtW_c

Component: dGLU_c_dt

Rm_cyto=1ifExpType=1ExpType=2ExpType=5ExpType=6V_mitoV_cytootherwise ddtimeGLU_c=-Rm_cytoJ_GLUtW_c

Component: dASP_c_dt

Rm_cyto=1ifExpType=1ExpType=2ExpType=5ExpType=6V_mitoV_cytootherwise ddtimeASP_c=-Rm_cytoJ_ASPtW_c

Component: dH_c_dt

ddtimeH_c=0

Component: dMg_c_dt

ddtimeMg_c=0

Component: dK_c_dt

ddtimeK_c=0

Component: dPI_c_dt

Rm_cyto=V_mitoV_cyto ddtimePI_c=-J_PItconversion_factorW_cifExpType=1ExpType=2ExpType=5ExpType=6Rm_cytoJ_PIt+J_AtCW_cotherwise

Component: dATP_c_dt

Rm_cyto=V_mitoV_cyto ddtimeATP_c=-1+W_c1J_HK-conversion_factorJ_ATPtW_cifExpType=1ExpType=2ExpType=5ExpType=6-Rm_cytoJ_ATPt+J_CKc+conversion_factorJ_AKc-J_AtCW_cotherwise

Component: dADP_c_dt

Rm_cyto=V_mitoV_cyto ddtimeADP_c=1+W_c1J_HK-conversion_factorJ_ADPtW_cifExpType=1ExpType=2ExpType=5ExpType=6-Rm_cytoJ_ADPt-J_CKc-2conversion_factorJ_AKc+J_AtCW_cotherwise

Component: dGLC_c_dt

ddtimeGLC_c=-1+W_c1J_HKW_cifExpType=1ExpType=2ExpType=5ExpType=60otherwise

Component: dG6P_c_dt

ddtimeG6P_c=1+W_c1J_HKW_cifExpType=1ExpType=2ExpType=5ExpType=60otherwise

Component: dPCr_c_dt

ddtimePCr_c=0ifExpType=1ExpType=2ExpType=5ExpType=6-J_CKcW_cotherwise

Component: dAMP_c_dt

Rm_cyto=V_mitoV_cyto ddtimeAMP_c=0ifExpType=1ExpType=2ExpType=5ExpType=6-Rm_cytoJ_AMPt+conversion_factorJ_AKcW_cotherwise

Component: dFAD_x_dt

FAD_x=FAD_tot-FADH2_x FADH2_x=FAD_tot2

Component: dH_x_dt

dH_x_dt=0 ddtimeH_x=dKB_dMgdMgB_dK-alpha_Mgalpha_Kphi_H+alpha_KdHB_dMg-dHB_dKdKB_dMgphi_Mg+alpha_MgdHB_dK-dHB_dMgdMgB_dKphi_KD

Component: dMg_x_dt

ddtimeMg_x=alpha_KdMgB_dH-dKB_dHdMgB_dKphi_H+dKB_dHdHB_dK-alpha_Halpha_Kphi_Mg+alpha_HdMgB_dK-dHB_dKdMgB_dHphi_KD dMg_x_dt=0

Component: dK_x_dt

ddtimeK_x=alpha_MgdKB_dH-dKB_dMgdMgB_dHphi_H+alpha_HdKB_dMg-dKB_dHdHB_dMgphi_Mg+dMgB_dHdHB_dMg-alpha_Halpha_Mgphi_KD dK_x_dt=0

Component: BINDING_IONS

dHB_dMg=-H_xH_xKH_H_xKMg_H_xP_H_x2+H_xATP_xKH_ATP_xKMg_ATP_xP_ATP_x2+H_xADP_xKH_ADP_xKMg_ADP_xP_ADP_x2+H_xAMP_xKH_AMP_xKMg_AMP_xP_AMP_x2+H_xGTP_xKH_GTP_xKMg_GTP_xP_GTP_x2+H_xGDP_xKH_GDP_xKMg_GDP_xP_GDP_x2+H_xPI_xKH_PI_xKMg_PI_xP_PI_x2+H_xNADH_xKH_NADH_xKMg_NADH_xP_NADH_x2+H_xNAD_xKH_NAD_xKMg_NAD_xP_NAD_x2+H_xQH2_xKH_QH2_xKMg_QH2_xP_QH2_x2+H_xCOQ_xKH_COQ_xKMg_COQ_xP_COQ_x2+H_xPYR_xKH_PYR_xKMg_PYR_xP_PYR_x2+H_xOAA_xKH_OAA_xKMg_OAA_xP_OAA_x2+H_xACCOA_xKH_ACCOA_xKMg_ACCOA_xP_ACCOA_x2+H_xCIT_xKH_CIT_xKMg_CIT_xP_CIT_x2+H_xICIT_xKH_ICIT_xKMg_ICIT_xP_ICIT_x2+H_xAKG_xKH_AKG_xKMg_AKG_xP_AKG_x2+H_xSCOA_xKH_SCOA_xKMg_SCOA_xP_SCOA_x2+H_xCOASH_xKH_COASH_xKMg_COASH_xP_COASH_x2+H_xSUC_xKH_SUC_xKMg_SUC_xP_SUC_x2+H_xFUM_xKH_FUM_xKMg_FUM_xP_FUM_x2+H_xMAL_xKH_MAL_xKMg_MAL_xP_MAL_x2+H_xGLU_xKH_GLU_xKMg_GLU_xP_GLU_x2+H_xASP_xKH_ASP_xKMg_ASP_xP_ASP_x2+H_xK_xKH_K_xKMg_K_xP_K_x2+H_xMg_xKH_Mg_xKMg_Mg_xP_Mg_x2+H_xO2_xKH_O2_xKMg_O2_xP_O2_x2+H_xFADH2_xKH_FADH2_xKMg_FADH2_xP_FADH2_x2+H_xFAD_xKH_FAD_xKMg_FAD_xP_FAD_x2+H_xCO2_tot_xKH_CO2_tot_xKMg_CO2_tot_xP_CO2_tot_x2 dHB_dK=-H_xH_xKH_H_xKK_H_xP_H_x2+H_xATP_xKH_ATP_xKK_ATP_xP_ATP_x2+H_xADP_xKH_ADP_xKK_ADP_xP_ADP_x2+H_xAMP_xKH_AMP_xKK_AMP_xP_AMP_x2+H_xGTP_xKH_GTP_xKK_GTP_xP_GTP_x2+H_xGDP_xKH_GDP_xKK_GDP_xP_GDP_x2+H_xPI_xKH_PI_xKK_PI_xP_PI_x2+H_xNADH_xKH_NADH_xKK_NADH_xP_NADH_x2+H_xNAD_xKH_NAD_xKK_NAD_xP_NAD_x2+H_xQH2_xKH_QH2_xKK_QH2_xP_QH2_x2+H_xCOQ_xKH_COQ_xKK_COQ_xP_COQ_x2+H_xPYR_xKH_PYR_xKK_PYR_xP_PYR_x2+H_xOAA_xKH_OAA_xKK_OAA_xP_OAA_x2+H_xACCOA_xKH_ACCOA_xKK_ACCOA_xP_ACCOA_x2+H_xCIT_xKH_CIT_xKK_CIT_xP_CIT_x2+H_xICIT_xKH_ICIT_xKK_ICIT_xP_ICIT_x2+H_xAKG_xKH_AKG_xKK_AKG_xP_AKG_x2+H_xSCOA_xKH_SCOA_xKK_SCOA_xP_SCOA_x2+H_xCOASH_xKH_COASH_xKK_COASH_xP_COASH_x2+H_xSUC_xKH_SUC_xKK_SUC_xP_SUC_x2+H_xFUM_xKH_FUM_xKK_FUM_xP_FUM_x2+H_xMAL_xKH_MAL_xKK_MAL_xP_MAL_x2+H_xGLU_xKH_GLU_xKK_GLU_xP_GLU_x2+H_xASP_xKH_ASP_xKK_ASP_xP_ASP_x2+H_xK_xKH_K_xKK_K_xP_K_x2+H_xMg_xKH_Mg_xKK_Mg_xP_Mg_x2+H_xO2_xKH_O2_xKK_O2_xP_O2_x2+H_xFADH2_xKH_FADH2_xKK_FADH2_xP_FADH2_x2+H_xFAD_xKH_FAD_xKK_FAD_xP_FAD_x2+H_xCO2_tot_xKH_CO2_tot_xKK_CO2_tot_xP_CO2_tot_x2 dHB_dH=1+Mg_xKMg_H_x+K_xKK_H_xH_xKH_H_xP_H_x2+1+Mg_xKMg_ATP_x+K_xKK_ATP_xATP_xKH_ATP_xP_ATP_x2+1+Mg_xKMg_ADP_x+K_xKK_ADP_xADP_xKH_ADP_xP_ADP_x2+1+Mg_xKMg_AMP_x+K_xKK_AMP_xAMP_xKH_AMP_xP_AMP_x2+1+Mg_xKMg_GTP_x+K_xKK_GTP_xGTP_xKH_GTP_xP_GTP_x2+1+Mg_xKMg_GDP_x+K_xKK_GDP_xGDP_xKH_GDP_xP_GDP_x2+1+Mg_xKMg_PI_x+K_xKK_PI_xPI_xKH_PI_xP_PI_x2+1+Mg_xKMg_NADH_x+K_xKK_NADH_xNADH_xKH_NADH_xP_NADH_x2+1+Mg_xKMg_NAD_x+K_xKK_NAD_xNAD_xKH_NAD_xP_NAD_x2+1+Mg_xKMg_QH2_x+K_xKK_QH2_xQH2_xKH_QH2_xP_QH2_x2+1+Mg_xKMg_COQ_x+K_xKK_COQ_xCOQ_xKH_COQ_xP_COQ_x2+1+Mg_xKMg_PYR_x+K_xKK_PYR_xPYR_xKH_PYR_xP_PYR_x2+1+Mg_xKMg_OAA_x+K_xKK_OAA_xOAA_xKH_OAA_xP_OAA_x2+1+Mg_xKMg_ACCOA_x+K_xKK_ACCOA_xACCOA_xKH_ACCOA_xP_ACCOA_x2+1+Mg_xKMg_CIT_x+K_xKK_CIT_xCIT_xKH_CIT_xP_CIT_x2+1+Mg_xKMg_ICIT_x+K_xKK_ICIT_xICIT_xKH_ICIT_xP_ICIT_x2+1+Mg_xKMg_AKG_x+K_xKK_AKG_xAKG_xKH_AKG_xP_AKG_x2+1+Mg_xKMg_SCOA_x+K_xKK_SCOA_xSCOA_xKH_SCOA_xP_SCOA_x2+1+Mg_xKMg_COASH_x+K_xKK_COASH_xCOASH_xKH_COASH_xP_COASH_x2+1+Mg_xKMg_SUC_x+K_xKK_SUC_xSUC_xKH_SUC_xP_SUC_x2+1+Mg_xKMg_FUM_x+K_xKK_FUM_xFUM_xKH_FUM_xP_FUM_x2+1+Mg_xKMg_MAL_x+K_xKK_MAL_xMAL_xKH_MAL_xP_MAL_x2+1+Mg_xKMg_GLU_x+K_xKK_GLU_xGLU_xKH_GLU_xP_GLU_x2+1+Mg_xKMg_ASP_x+K_xKK_ASP_xASP_xKH_ASP_xP_ASP_x2+1+Mg_xKMg_K_x+K_xKK_K_xK_xKH_K_xP_K_x2+1+Mg_xKMg_Mg_x+K_xKK_Mg_xMg_xKH_Mg_xP_Mg_x2+1+Mg_xKMg_O2_x+K_xKK_O2_xO2_xKH_O2_xP_O2_x2+1+Mg_xKMg_FADH2_x+K_xKK_FADH2_xFADH2_xKH_FADH2_xP_FADH2_x2+1+Mg_xKMg_FAD_x+K_xKK_FAD_xFAD_xKH_FAD_xP_FAD_x2+1+Mg_xKMg_CO2_tot_x+K_xKK_CO2_tot_xCO2_tot_xKH_CO2_tot_xP_CO2_tot_x2 dMgB_dH=-Mg_xH_xKMg_H_xKH_H_xP_H_x2+Mg_xATP_xKMg_ATP_xKH_ATP_xP_ATP_x2+Mg_xADP_xKMg_ADP_xKH_ADP_xP_ADP_x2+Mg_xAMP_xKMg_AMP_xKH_AMP_xP_AMP_x2+Mg_xGTP_xKMg_GTP_xKH_GTP_xP_GTP_x2+Mg_xGDP_xKMg_GDP_xKH_GDP_xP_GDP_x2+Mg_xPI_xKMg_PI_xKH_PI_xP_PI_x2+Mg_xNADH_xKMg_NADH_xKH_NADH_xP_NADH_x2+Mg_xNAD_xKMg_NAD_xKH_NAD_xP_NAD_x2+Mg_xQH2_xKMg_QH2_xKH_QH2_xP_QH2_x2+Mg_xCOQ_xKMg_COQ_xKH_COQ_xP_COQ_x2+Mg_xPYR_xKMg_PYR_xKH_PYR_xP_PYR_x2+Mg_xOAA_xKMg_OAA_xKH_OAA_xP_OAA_x2+Mg_xACCOA_xKMg_ACCOA_xKH_ACCOA_xP_ACCOA_x2+Mg_xCIT_xKMg_CIT_xKH_CIT_xP_CIT_x2+Mg_xICIT_xKMg_ICIT_xKH_ICIT_xP_ICIT_x2+Mg_xAKG_xKMg_AKG_xKH_AKG_xP_AKG_x2+Mg_xSCOA_xKMg_SCOA_xKH_SCOA_xP_SCOA_x2+Mg_xCOASH_xKMg_COASH_xKH_COASH_xP_COASH_x2+Mg_xSUC_xKMg_SUC_xKH_SUC_xP_SUC_x2+Mg_xFUM_xKMg_FUM_xKH_FUM_xP_FUM_x2+Mg_xMAL_xKMg_MAL_xKH_MAL_xP_MAL_x2+Mg_xGLU_xKMg_GLU_xKH_GLU_xP_GLU_x2+Mg_xASP_xKMg_ASP_xKH_ASP_xP_ASP_x2+Mg_xK_xKMg_K_xKH_K_xP_K_x2+Mg_xMg_xKMg_Mg_xKH_Mg_xP_Mg_x2+Mg_xO2_xKMg_O2_xKH_O2_xP_O2_x2+Mg_xFADH2_xKMg_FADH2_xKH_FADH2_xP_FADH2_x2+Mg_xFAD_xKMg_FAD_xKH_FAD_xP_FAD_x2+Mg_xCO2_tot_xKMg_CO2_tot_xKH_CO2_tot_xP_CO2_tot_x2 dMgB_dK=-Mg_xH_xKMg_H_xKK_H_xP_H_x2+Mg_xATP_xKMg_ATP_xKK_ATP_xP_ATP_x2+Mg_xADP_xKMg_ADP_xKK_ADP_xP_ADP_x2+Mg_xAMP_xKMg_AMP_xKK_AMP_xP_AMP_x2+Mg_xGTP_xKMg_GTP_xKK_GTP_xP_GTP_x2+Mg_xGDP_xKMg_GDP_xKK_GDP_xP_GDP_x2+Mg_xPI_xKMg_PI_xKK_PI_xP_PI_x2+Mg_xNADH_xKMg_NADH_xKK_NADH_xP_NADH_x2+Mg_xNAD_xKMg_NAD_xKK_NAD_xP_NAD_x2+Mg_xQH2_xKMg_QH2_xKK_QH2_xP_QH2_x2+Mg_xCOQ_xKMg_COQ_xKK_COQ_xP_COQ_x2+Mg_xPYR_xKMg_PYR_xKK_PYR_xP_PYR_x2+Mg_xOAA_xKMg_OAA_xKK_OAA_xP_OAA_x2+Mg_xACCOA_xKMg_ACCOA_xKK_ACCOA_xP_ACCOA_x2+Mg_xCIT_xKMg_CIT_xKK_CIT_xP_CIT_x2+Mg_xICIT_xKMg_ICIT_xKK_ICIT_xP_ICIT_x2+Mg_xAKG_xKMg_AKG_xKK_AKG_xP_AKG_x2+Mg_xSCOA_xKMg_SCOA_xKK_SCOA_xP_SCOA_x2+Mg_xCOASH_xKMg_COASH_xKK_COASH_xP_COASH_x2+Mg_xSUC_xKMg_SUC_xKK_SUC_xP_SUC_x2+Mg_xFUM_xKMg_FUM_xKK_FUM_xP_FUM_x2+Mg_xMAL_xKMg_MAL_xKK_MAL_xP_MAL_x2+Mg_xGLU_xKMg_GLU_xKK_GLU_xP_GLU_x2+Mg_xASP_xKMg_ASP_xKK_ASP_xP_ASP_x2+Mg_xK_xKMg_K_xKK_K_xP_K_x2+Mg_xMg_xKMg_Mg_xKK_Mg_xP_Mg_x2+Mg_xO2_xKMg_O2_xKK_O2_xP_O2_x2+Mg_xFADH2_xKMg_FADH2_xKK_FADH2_xP_FADH2_x2+Mg_xFAD_xKMg_FAD_xKK_FAD_xP_FAD_x2+Mg_xCO2_tot_xKMg_CO2_tot_xKK_CO2_tot_xP_CO2_tot_x2 dMgB_dMg=1+H_xKH_H_x+K_xKK_H_xH_xKMg_H_xP_H_x2+1+H_xKH_ATP_x+K_xKK_ATP_xATP_xKMg_ATP_xP_ATP_x2+1+H_xKH_ADP_x+K_xKK_ADP_xADP_xKMg_ADP_xP_ADP_x2+1+H_xKH_AMP_x+K_xKK_AMP_xAMP_xKMg_AMP_xP_AMP_x2+1+H_xKH_GTP_x+K_xKK_GTP_xGTP_xKMg_GTP_xP_GTP_x2+1+H_xKH_GDP_x+K_xKK_GDP_xGDP_xKMg_GDP_xP_GDP_x2+1+H_xKH_PI_x+K_xKK_PI_xPI_xKMg_PI_xP_PI_x2+1+H_xKH_NADH_x+K_xKK_NADH_xNADH_xKMg_NADH_xP_NADH_x2+1+H_xKH_NAD_x+K_xKK_NAD_xNAD_xKMg_NAD_xP_NAD_x2+1+H_xKH_QH2_x+K_xKK_QH2_xQH2_xKMg_QH2_xP_QH2_x2+1+H_xKH_COQ_x+K_xKK_COQ_xCOQ_xKMg_COQ_xP_COQ_x2+1+H_xKH_PYR_x+K_xKK_PYR_xPYR_xKMg_PYR_xP_PYR_x2+1+H_xKH_OAA_x+K_xKK_OAA_xOAA_xKMg_OAA_xP_OAA_x2+1+H_xKH_ACCOA_x+K_xKK_ACCOA_xACCOA_xKMg_ACCOA_xP_ACCOA_x2+1+H_xKH_CIT_x+K_xKK_CIT_xCIT_xKMg_CIT_xP_CIT_x2+1+H_xKH_ICIT_x+K_xKK_ICIT_xICIT_xKMg_ICIT_xP_ICIT_x2+1+H_xKH_AKG_x+K_xKK_AKG_xAKG_xKMg_AKG_xP_AKG_x2+1+H_xKH_SCOA_x+K_xKK_SCOA_xSCOA_xKMg_SCOA_xP_SCOA_x2+1+H_xKH_COASH_x+K_xKK_COASH_xCOASH_xKMg_COASH_xP_COASH_x2+1+H_xKH_SUC_x+K_xKK_SUC_xSUC_xKMg_SUC_xP_SUC_x2+1+H_xKH_FUM_x+K_xKK_FUM_xFUM_xKMg_FUM_xP_FUM_x2+1+H_xKH_MAL_x+K_xKK_MAL_xMAL_xKMg_MAL_xP_MAL_x2+1+H_xKH_GLU_x+K_xKK_GLU_xGLU_xKMg_GLU_xP_GLU_x2+1+H_xKH_ASP_x+K_xKK_ASP_xASP_xKMg_ASP_xP_ASP_x2+1+H_xKH_K_x+K_xKK_K_xK_xKMg_K_xP_K_x2+1+H_xKH_Mg_x+K_xKK_Mg_xMg_xKMg_Mg_xP_Mg_x2+1+H_xKH_O2_x+K_xKK_O2_xO2_xKMg_O2_xP_O2_x2+1+H_xKH_FADH2_x+K_xKK_FADH2_xFADH2_xKMg_FADH2_xP_FADH2_x2+1+H_xKH_FAD_x+K_xKK_FAD_xFAD_xKMg_FAD_xP_FAD_x2+1+H_xKH_CO2_tot_x+K_xKK_CO2_tot_xCO2_tot_xKMg_CO2_tot_xP_CO2_tot_x2 dKB_dH=-K_xH_xKK_H_xKH_H_xP_H_x2+K_xATP_xKK_ATP_xKH_ATP_xP_ATP_x2+K_xADP_xKK_ADP_xKH_ADP_xP_ADP_x2+K_xAMP_xKK_AMP_xKH_AMP_xP_AMP_x2+K_xGTP_xKK_GTP_xKH_GTP_xP_GTP_x2+K_xGDP_xKK_GDP_xKH_GDP_xP_GDP_x2+K_xPI_xKK_PI_xKH_PI_xP_PI_x2+K_xNADH_xKK_NADH_xKH_NADH_xP_NADH_x2+K_xNAD_xKK_NAD_xKH_NAD_xP_NAD_x2+K_xQH2_xKK_QH2_xKH_QH2_xP_QH2_x2+K_xCOQ_xKK_COQ_xKH_COQ_xP_COQ_x2+K_xPYR_xKK_PYR_xKH_PYR_xP_PYR_x2+K_xOAA_xKK_OAA_xKH_OAA_xP_OAA_x2+K_xACCOA_xKK_ACCOA_xKH_ACCOA_xP_ACCOA_x2+K_xCIT_xKK_CIT_xKH_CIT_xP_CIT_x2+K_xICIT_xKK_ICIT_xKH_ICIT_xP_ICIT_x2+K_xAKG_xKK_AKG_xKH_AKG_xP_AKG_x2+K_xSCOA_xKK_SCOA_xKH_SCOA_xP_SCOA_x2+K_xCOASH_xKK_COASH_xKH_COASH_xP_COASH_x2+K_xSUC_xKK_SUC_xKH_SUC_xP_SUC_x2+K_xFUM_xKK_FUM_xKH_FUM_xP_FUM_x2+K_xMAL_xKK_MAL_xKH_MAL_xP_MAL_x2+K_xGLU_xKK_GLU_xKH_GLU_xP_GLU_x2+K_xASP_xKK_ASP_xKH_ASP_xP_ASP_x2+K_xK_xKK_K_xKH_K_xP_K_x2+K_xMg_xKK_Mg_xKH_Mg_xP_Mg_x2+K_xO2_xKK_O2_xKH_O2_xP_O2_x2+K_xFADH2_xKK_FADH2_xKH_FADH2_xP_FADH2_x2+K_xFAD_xKK_FAD_xKH_FAD_xP_FAD_x2+K_xCO2_tot_xKK_CO2_tot_xKH_CO2_tot_xP_CO2_tot_x2 dKB_dMg=-K_xH_xKK_H_xKMg_H_xP_H_x2+K_xATP_xKK_ATP_xKMg_ATP_xP_ATP_x2+K_xADP_xKK_ADP_xKMg_ADP_xP_ADP_x2+K_xAMP_xKK_AMP_xKMg_AMP_xP_AMP_x2+K_xGTP_xKK_GTP_xKMg_GTP_xP_GTP_x2+K_xGDP_xKK_GDP_xKMg_GDP_xP_GDP_x2+K_xPI_xKK_PI_xKMg_PI_xP_PI_x2+K_xNADH_xKK_NADH_xKMg_NADH_xP_NADH_x2+K_xNAD_xKK_NAD_xKMg_NAD_xP_NAD_x2+K_xQH2_xKK_QH2_xKMg_QH2_xP_QH2_x2+K_xCOQ_xKK_COQ_xKMg_COQ_xP_COQ_x2+K_xPYR_xKK_PYR_xKMg_PYR_xP_PYR_x2+K_xOAA_xKK_OAA_xKMg_OAA_xP_OAA_x2+K_xACCOA_xKK_ACCOA_xKMg_ACCOA_xP_ACCOA_x2+K_xCIT_xKK_CIT_xKMg_CIT_xP_CIT_x2+K_xICIT_xKK_ICIT_xKMg_ICIT_xP_ICIT_x2+K_xAKG_xKK_AKG_xKMg_AKG_xP_AKG_x2+K_xSCOA_xKK_SCOA_xKMg_SCOA_xP_SCOA_x2+K_xCOASH_xKK_COASH_xKMg_COASH_xP_COASH_x2+K_xSUC_xKK_SUC_xKMg_SUC_xP_SUC_x2+K_xFUM_xKK_FUM_xKMg_FUM_xP_FUM_x2+K_xMAL_xKK_MAL_xKMg_MAL_xP_MAL_x2+K_xGLU_xKK_GLU_xKMg_GLU_xP_GLU_x2+K_xASP_xKK_ASP_xKMg_ASP_xP_ASP_x2+K_xK_xKK_K_xKMg_K_xP_K_x2+K_xMg_xKK_Mg_xKMg_Mg_xP_Mg_x2+K_xO2_xKK_O2_xKMg_O2_xP_O2_x2+K_xFADH2_xKK_FADH2_xKMg_FADH2_xP_FADH2_x2+K_xFAD_xKK_FAD_xKMg_FAD_xP_FAD_x2+K_xCO2_tot_xKK_CO2_tot_xKMg_CO2_tot_xP_CO2_tot_x2 dKB_dK=1+H_xKH_H_x+Mg_xKMg_H_xH_xKK_H_xP_H_x2+1+H_xKH_ATP_x+Mg_xKMg_ATP_xATP_xKK_ATP_xP_ATP_x2+1+H_xKH_ADP_x+Mg_xKMg_ADP_xADP_xKK_ADP_xP_ADP_x2+1+H_xKH_AMP_x+Mg_xKMg_AMP_xAMP_xKK_AMP_xP_AMP_x2+1+H_xKH_GTP_x+Mg_xKMg_GTP_xGTP_xKK_GTP_xP_GTP_x2+1+H_xKH_GDP_x+Mg_xKMg_GDP_xGDP_xKK_GDP_xP_GDP_x2+1+H_xKH_PI_x+Mg_xKMg_PI_xPI_xKK_PI_xP_PI_x2+1+H_xKH_NADH_x+Mg_xKMg_NADH_xNADH_xKK_NADH_xP_NADH_x2+1+H_xKH_NAD_x+Mg_xKMg_NAD_xNAD_xKK_NAD_xP_NAD_x2+1+H_xKH_QH2_x+Mg_xKMg_QH2_xQH2_xKK_QH2_xP_QH2_x2+1+H_xKH_COQ_x+Mg_xKMg_COQ_xCOQ_xKK_COQ_xP_COQ_x2+1+H_xKH_PYR_x+Mg_xKMg_PYR_xPYR_xKK_PYR_xP_PYR_x2+1+H_xKH_OAA_x+Mg_xKMg_OAA_xOAA_xKK_OAA_xP_OAA_x2+1+H_xKH_ACCOA_x+Mg_xKMg_ACCOA_xACCOA_xKK_ACCOA_xP_ACCOA_x2+1+H_xKH_CIT_x+Mg_xKMg_CIT_xCIT_xKK_CIT_xP_CIT_x2+1+H_xKH_ICIT_x+Mg_xKMg_ICIT_xICIT_xKK_ICIT_xP_ICIT_x2+1+H_xKH_AKG_x+Mg_xKMg_AKG_xAKG_xKK_AKG_xP_AKG_x2+1+H_xKH_SCOA_x+Mg_xKMg_SCOA_xSCOA_xKK_SCOA_xP_SCOA_x2+1+H_xKH_COASH_x+Mg_xKMg_COASH_xCOASH_xKK_COASH_xP_COASH_x2+1+H_xKH_SUC_x+Mg_xKMg_SUC_xSUC_xKK_SUC_xP_SUC_x2+1+H_xKH_FUM_x+Mg_xKMg_FUM_xFUM_xKK_FUM_xP_FUM_x2+1+H_xKH_MAL_x+Mg_xKMg_MAL_xMAL_xKK_MAL_xP_MAL_x2+1+H_xKH_GLU_x+Mg_xKMg_GLU_xGLU_xKK_GLU_xP_GLU_x2+1+H_xKH_ASP_x+Mg_xKMg_ASP_xASP_xKK_ASP_xP_ASP_x2+1+H_xKH_K_x+Mg_xKMg_K_xK_xKK_K_xP_K_x2+1+H_xKH_Mg_x+Mg_xKMg_Mg_xMg_xKK_Mg_xP_Mg_x2+1+H_xKH_O2_x+Mg_xKMg_O2_xO2_xKK_O2_xP_O2_x2+1+H_xKH_FADH2_x+Mg_xKMg_FADH2_xFADH2_xKK_FADH2_xP_FADH2_x2+1+H_xKH_FAD_x+Mg_xKMg_FAD_xFAD_xKK_FAD_xP_FAD_x2+1+H_xKH_CO2_tot_x+Mg_xKMg_CO2_tot_xCO2_tot_xKK_CO2_tot_xP_CO2_tot_x2 J_H_t=-J_pdh+2J_cits-J_akgd+J_scoas+J_mdh+J_PYRH+J_GLUH+J_CITMAL-J_ASPGLU-5J_C1-2J_C3-4J_C4+n_A-1J_F1+2J_PIHt+J_Hle-J_KHW_x J_Mg_t=0 J_K_t=J_KHW_x phi_H=-H_xdH_x_dtKH_H_xP_H_x+H_xdATP_x_dtKH_ATP_xP_ATP_x+H_xdADP_x_dtKH_ADP_xP_ADP_x+H_xdAMP_x_dtKH_AMP_xP_AMP_x+H_xdGTP_x_dtKH_GTP_xP_GTP_x+H_xdGDP_x_dtKH_GDP_xP_GDP_x+H_xdPI_x_dtKH_PI_xP_PI_x+H_xdNADH_x_dtKH_NADH_xP_NADH_x+H_xdNAD_x_dtKH_NAD_xP_NAD_x+H_xdQH2_x_dtKH_QH2_xP_QH2_x+H_xdCOQ_x_dtKH_COQ_xP_COQ_x+H_xdPYR_x_dtKH_PYR_xP_PYR_x+H_xdOAA_x_dtKH_OAA_xP_OAA_x+H_xdACCOA_x_dtKH_ACCOA_xP_ACCOA_x+H_xdCIT_x_dtKH_CIT_xP_CIT_x+H_xdICIT_x_dtKH_ICIT_xP_ICIT_x+H_xdAKG_x_dtKH_AKG_xP_AKG_x+H_xdSCOA_x_dtKH_SCOA_xP_SCOA_x+H_xdCOASH_x_dtKH_COASH_xP_COASH_x+H_xdSUC_x_dtKH_SUC_xP_SUC_x+H_xdFUM_x_dtKH_FUM_xP_FUM_x+H_xdMAL_x_dtKH_MAL_xP_MAL_x+H_xdGLU_x_dtKH_GLU_xP_GLU_x+H_xdASP_x_dtKH_ASP_xP_ASP_x+H_xdK_x_dtKH_K_xP_K_x+H_xdMg_x_dtKH_Mg_xP_Mg_x+H_xdO2_x_dtKH_O2_xP_O2_x+H_xdFADH2_x_dtKH_FADH2_xP_FADH2_x+H_xdFAD_x_dtKH_FAD_xP_FAD_x+H_xdCO2_tot_x_dtKH_CO2_tot_xP_CO2_tot_x+J_H_t phi_Mg=-Mg_xdH_x_dtKMg_H_xP_H_x+Mg_xdATP_x_dtKMg_ATP_xP_ATP_x+Mg_xdADP_x_dtKMg_ADP_xP_ADP_x+Mg_xdAMP_x_dtKMg_AMP_xP_AMP_x+Mg_xdGTP_x_dtKMg_GTP_xP_GTP_x+Mg_xdGDP_x_dtKMg_GDP_xP_GDP_x+Mg_xdPI_x_dtKMg_PI_xP_PI_x+Mg_xdNADH_x_dtKMg_NADH_xP_NADH_x+Mg_xdNAD_x_dtKMg_NAD_xP_NAD_x+Mg_xdQH2_x_dtKMg_QH2_xP_QH2_x+Mg_xdCOQ_x_dtKMg_COQ_xP_COQ_x+Mg_xdPYR_x_dtKMg_PYR_xP_PYR_x+Mg_xdOAA_x_dtKMg_OAA_xP_OAA_x+Mg_xdACCOA_x_dtKMg_ACCOA_xP_ACCOA_x+Mg_xdCIT_x_dtKMg_CIT_xP_CIT_x+Mg_xdICIT_x_dtKMg_ICIT_xP_ICIT_x+Mg_xdAKG_x_dtKMg_AKG_xP_AKG_x+Mg_xdSCOA_x_dtKMg_SCOA_xP_SCOA_x+Mg_xdCOASH_x_dtKMg_COASH_xP_COASH_x+Mg_xdSUC_x_dtKMg_SUC_xP_SUC_x+Mg_xdFUM_x_dtKMg_FUM_xP_FUM_x+Mg_xdMAL_x_dtKMg_MAL_xP_MAL_x+Mg_xdGLU_x_dtKMg_GLU_xP_GLU_x+Mg_xdASP_x_dtKMg_ASP_xP_ASP_x+Mg_xdK_x_dtKMg_K_xP_K_x+Mg_xdMg_x_dtKMg_Mg_xP_Mg_x+Mg_xdO2_x_dtKMg_O2_xP_O2_x+Mg_xdFADH2_x_dtKMg_FADH2_xP_FADH2_x+Mg_xdFAD_x_dtKMg_FAD_xP_FAD_x+Mg_xdCO2_tot_x_dtKMg_CO2_tot_xP_CO2_tot_x+J_Mg_t phi_K=-K_xdH_x_dtKK_H_xP_H_x+K_xdATP_x_dtKK_ATP_xP_ATP_x+K_xdADP_x_dtKK_ADP_xP_ADP_x+K_xdAMP_x_dtKK_AMP_xP_AMP_x+K_xdGTP_x_dtKK_GTP_xP_GTP_x+K_xdGDP_x_dtKK_GDP_xP_GDP_x+K_xdPI_x_dtKK_PI_xP_PI_x+K_xdNADH_x_dtKK_NADH_xP_NADH_x+K_xdNAD_x_dtKK_NAD_xP_NAD_x+K_xdQH2_x_dtKK_QH2_xP_QH2_x+K_xdCOQ_x_dtKK_COQ_xP_COQ_x+K_xdPYR_x_dtKK_PYR_xP_PYR_x+K_xdOAA_x_dtKK_OAA_xP_OAA_x+K_xdACCOA_x_dtKK_ACCOA_xP_ACCOA_x+K_xdCIT_x_dtKK_CIT_xP_CIT_x+K_xdICIT_x_dtKK_ICIT_xP_ICIT_x+K_xdAKG_x_dtKK_AKG_xP_AKG_x+K_xdSCOA_x_dtKK_SCOA_xP_SCOA_x+K_xdCOASH_x_dtKK_COASH_xP_COASH_x+K_xdSUC_x_dtKK_SUC_xP_SUC_x+K_xdFUM_x_dtKK_FUM_xP_FUM_x+K_xdMAL_x_dtKK_MAL_xP_MAL_x+K_xdGLU_x_dtKK_GLU_xP_GLU_x+K_xdASP_x_dtKK_ASP_xP_ASP_x+K_xdK_x_dtKK_K_xP_K_x+K_xdMg_x_dtKK_Mg_xP_Mg_x+K_xdO2_x_dtKK_O2_xP_O2_x+K_xdFADH2_x_dtKK_FADH2_xP_FADH2_x+K_xdFAD_x_dtKK_FAD_xP_FAD_x+K_xdCO2_tot_x_dtKK_CO2_tot_xP_CO2_tot_x+J_K_t alpha_H=1+dHB_dH+B_xK_BX1+H_xK_BX2 alpha_Mg=1+dMgB_dMg alpha_K=1+dKB_dK D=alpha_HdKB_dMgdMgB_dK+alpha_KdHB_dMgdMgB_dH+alpha_MgdHB_dKdKB_dH-alpha_Mgalpha_Kalpha_H-dHB_dKdKB_dMgdMgB_dH-dHB_dMgdMgB_dKdKB_dH