# Model Mathematics

### Component: G

$ddtimeG=V_IN-V_HK$

### Component: G6P

$ddtimeG6P=V_HK-V_PFK+V_G6PDH$

### Component: FDP

$ddtimeFDP=V_PFK-V_ALD$

### Component: G3P

$ddtimeG3P=2⁢V_ALD-V_GAPDH$

### Component: DPG

$ddtimeDPG=V_GAPDH-V_PGK$

### Component: PEP

$ddtimePEP=V_PGK-V_PK$

### Component: Py

$ddtimePy=V_PK-V_TCA+V_ADH$

### Component: ATP

$ddtimeATP=V_PGK+V_PK+PO⁢V_TCA-V_HK+V_PFK+V_ATPase$

$ADP=Cn-ATP+AMP$

### Component: CD

$CD=CMTP-CT+CP$

### Component: CT

$ddtimeCT=-kpol⁢CT⁢CP2+kf⁢CD+kb⁢CT⁢GDP$

### Component: CP

$ddtimeCP=kpol⁢CT⁢CP2-kdp⁢CP$

### Component: PKp

$ddtimePKp=0.1⁢kp2⁢PKt⁢CP-kp3⁢PKp+k4⁢PKp⁢GTP$

### Component: PKt

$PKt=C_PK-PKp$

### Component: V_IN

$V_IN=V_IN_max⁢G_oKG_in+G_o⁢1+G6PKe_in-GKG_in+G⁢1+G6PKe_in$

### Component: V_HK

$V_HK=V_HK_max⁢11+KG_s⁢KATP_mG⁢ATP+KG_mG+KATP_mATP$

### Component: V_PFK

$V_PFK=V_PFK_max⁢gr⁢G6PKG6P_r⁢ATPKATP_r⁢1+G6PKG6P_r+ATPKATP_r+gr⁢G6PKG6P_r⁢ATPKATP_rn1-11+G6PKG6P_r+ATPKATP_r+gr⁢G6PKG6P_r⁢ATPKATP_rn1+Lo⁢1+cAMP⁢AMPKAMP_r1+AMPKAMP_rn1⁢1+cG6P⁢G6PKG6P_r+cATP⁢ATPKATP_r+gr⁢cG6P⁢G6PKG6P_r⁢cATP⁢ATPKATP_rn1$

### Component: V_G6PDH

$V_G6PDH=V_G6PDH_maxKG6P⁢KNADPG6P⁢NADP+KG6PG6P+KNADPNADP+1+V_G6PDH_max_IIKG6P⁢KNADP_⁢KTUBG6P⁢NADP⁢TUB+KG6P⁢KNADP_G6P⁢NADP+KNADP_⁢KTUBNADP⁢TUB+KG6P⁢KTUBG6P⁢TUB+KTUBTUB+KG6PG6P+KNADP_NADP+1TUB=CT+CD$

### Component: V_ALD

$V_ALD=V_ALD_max⁢FDPKFDP_m-V_ALD_max_r⁢G3PKG3P_m1+FDPKFDP_m+G3PKG3P_m$

### Component: V_GAPDH

$V_GAPDH=V_GAPDH_max1+KG3PG3P+KNADNAD⁢1+AMPK1+ADPK2+ATPK3+KG3P⁢KNADG3P⁢NAD⁢1+NADHKNADH_i+1+AMPK1+ADPK2+ATPK3$

### Component: V_PGK

$V_PGK=V_PGK_max⁢DPGKDPG_m+DPG$

### Component: V_PK

$V_PK=V_PK_max1+KpHH⁢gr_PK⁢PEPKPEP_r⁢ADPKADP_r⁢Rn-1+Lo_PK⁢1+cFDP⁢FDPKFDP_r1+FDPKFDP_rn⁢FDPKFDP_r⁢gt_PK⁢cPEP⁢PEPKPEP_r⁢cADP⁢ADPKADP_r⁢Tn-1Rn+Lo_PK⁢1+cFDP⁢FDPKFDP_r1+FDPKFDP_rn⁢TnR=1+PEPKPEP_r+ADPKADP_r+gr_PK⁢PEPKPEP_r⁢ADPKADP_rT=1+cPEP⁢PEPKPEP_r+cADP⁢ADPKADP_r+gt_PK⁢cPEP⁢PEPKPEP_r⁢cADP⁢ADPKADP_rV_PK_max=V_PKt_max+V_PKp_max-V_PKt_max⁢PKpC_PKn=4+PKpC_PK$

### Component: V_TCA

$V_TCA=V_TCA_max⁢Py2KPy_m2+Py2$

$V_ADH=V_ADH_max⁢PyKPy__m+Py$

### Component: V_ATPase

$V_ATPase=KATP⁢ATP$
Source
Derived from workspace Aon, Cortassa, 2002 at changeset 6a5e3ad9eaef.
Collaboration
To begin collaborating on this work, please use your git client and issue this command: