You are here: Home / Exposures / Ralser, Lehrach, Krobitsch, Wamelink, Kowald, Gerisch, Heeren, Struys, Klipp, Jakobs, Breitenbach, 2007 / Dynamic rerouting of the carbohydrate flux is key to counteracting oxidative stress

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Component: environment

Component: parameters

Component: extracellular

Component: cytoplasm

\frac{d}{d time} (P) = \frac{(vPGK - (vGLK + vPFK)) + vPYK - vATP}{cytoplasm} \frac{d}{d time} (G6P) = \frac{vGLK - vPGI - vG6PDH}{cytoplasm} \frac{d}{d time} (F6P) = \frac{(vPGI - vPFK) + vTransald + vTransk2}{cytoplasm} \frac{d}{d time} (F16P) = \frac{vPFK - vALD}{cytoplasm} \frac{d}{d time} (NADH) = \frac{(vGAPDH - vG3PDH) + 3 vSUC - vADH}{cytoplasm} \frac{d}{d time} (NAD) = \frac{(vG3PDH - vGAPDH - (3 vSUC)) + vADH}{cytoplasm} \frac{d}{d time} (BPG) = \frac{vGAPDH - vPGK}{cytoplasm} \frac{d}{d time} (P3G) = \frac{vPGK - vPGM}{cytoplasm} \frac{d}{d time} (P2G) = \frac{vPGM - vENO}{cytoplasm} \frac{d}{d time} (PEP) = \frac{vENO - vPYK}{cytoplasm} \frac{d}{d time} (PYR) = \frac{vPYK - vPDC}{cytoplasm} \frac{d}{d time} (ACE) = \frac{vPDC - (2 vSUC) - vADH}{cytoplasm} \frac{d}{d time} (GA3P) = \frac{((vALD - vGAPDH - vTPI) + vTransk1 - vTransald) + vTransk2}{cytoplasm} \frac{d}{d time} (DHAP) = \frac{(vALD - vG3PDH) + vTPI}{cytoplasm} \frac{d}{d time} (D6PGluconoLactone) = \frac{vG6PDH - v6PGL}{cytoplasm} \frac{d}{d time} (D6PGluconate) = \frac{v6PGL - vGluDH}{cytoplasm} \frac{d}{d time} (NADP) = \frac{vNADPH - (vG6PDH + vGluDH)}{cytoplasm} \frac{d}{d time} (NADPH) = \frac{vG6PDH + vGluDH - vNADPH}{cytoplasm} \frac{d}{d time} (Ribulose5P) = \frac{vGluDH - vPPI - vR5PI}{cytoplasm} \frac{d}{d time} (Ribose5P) = \frac{vPPI - vTransk1}{cytoplasm} \frac{d}{d time} (Xyl5P) = \frac{vR5PI - vTransk1 - vTransk2}{cytoplasm} \frac{d}{d time} (Seduhept7P) = \frac{vTransk1 - vTransald}{cytoplasm} \frac{d}{d time} (Erythrose4P) = \frac{vTransald - vTransk2}{cytoplasm} \frac{d}{d time} (GLCi) = \frac{vGLT - vGLK}{cytoplasm}

Component: rules

ratio_NADPH_NADP = \frac{NADPH}{NADP}

Component: vGLK

vGLK = \frac{cytoplasm VmGLK (\frac{(- G6P) (SUMAXP - (\sqrt{({SUMAXP}^{2} - (2 SUMAXP P)) + 8 KeqAK SUMAXP P + P^{2} - (4 KeqAK P^{2})}))}{(1 - (4 KeqAK)) KeqGLK} + \frac{GLCi (((- SUMAXP) + P - (4 KeqAK P)) + \sqrt{({SUMAXP}^{2} - (2 SUMAXP P)) + 8 KeqAK SUMAXP P + P^{2} - (4 KeqAK P^{2})})}{2 - (8 KeqAK)})}{KmGLKATP KmGLKGLCi (1 + \frac{G6P}{KmGLKG6P} + \frac{GLCi}{KmGLKGLCi}) (1 + \frac{SUMAXP - (\sqrt{({SUMAXP}^{2} - (2 SUMAXP P)) + 8 KeqAK SUMAXP P + P^{2} - (4 KeqAK P^{2})})}{(1 - (4 KeqAK)) KmGLKADP} + \frac{((- SUMAXP) + P - (4 KeqAK P)) + \sqrt{({SUMAXP}^{2} - (2 SUMAXP P)) + 8 KeqAK SUMAXP P + P^{2} - (4 KeqAK P^{2})}}{(2 - (8 KeqAK)) KmGLKATP})}

Component: vPGI

vPGI = \frac{\frac{cytoplasm VmPGI}{KmPGIG6P} (G6P - (\frac{F6P}{KeqPGI}))}{1 + \frac{G6P}{KmPGIG6P} + \frac{F6P}{KmPGIF6P}}

Component: vPFK

numerator1 = cytoplasm gR VmPFK F6P (((- SUMAXP) + P - (4 KeqAK P)) + \sqrt{({SUMAXP}^{2} - (2 SUMAXP P)) + 8 KeqAK SUMAXP P + P^{2} - (4 KeqAK P^{2})}) numerator2 = 1 + \frac{F6P}{KmPFKF6P} + \frac{((- SUMAXP) + P - (4 KeqAK P)) + \sqrt{({SUMAXP}^{2} - (2 SUMAXP P)) + 8 KeqAK SUMAXP P + P^{2} - (4 KeqAK P^{2})}}{(2 - (8 KeqAK)) KmPFKATP} + \frac{gR F6P (((- SUMAXP) + P - (4 KeqAK P)) + \sqrt{({SUMAXP}^{2} - (2 SUMAXP P)) + 8 KeqAK SUMAXP P + P^{2} - (4 KeqAK P^{2})})}{(2 - (8 KeqAK)) KmPFKATP KmPFKF6P} denominator = (2 - (8 KeqAK)) KmPFKATP KmPFKF6P (\frac{L0 denom1 denom2}{denom3} + {(1 + \frac{F6P}{KmPFKF6P} + \frac{((- SUMAXP) + P - (4 KeqAK P)) + \sqrt{({SUMAXP}^{2} - (2 SUMAXP P)) + 8 KeqAK SUMAXP P + P^{2} - (4 KeqAK P^{2})}}{(2 - (8 KeqAK)) KmPFKATP} + \frac{gR F6P (((- SUMAXP) + P - (4 KeqAK P)) + \sqrt{({SUMAXP}^{2} - (2 SUMAXP P)) + 8 KeqAK SUMAXP P + P^{2} - (4 KeqAK P^{2})})}{(2 - (8 KeqAK)) KmPFKATP KmPFKF6P})}^{2}) denom1 = {(1 + \frac{CPFKF26BP F26BP}{KPFKF26BP} + \frac{CPFKF16BP F16P}{KPFKF16BP})}^{2} {(1 + \frac{2 CPFKAMP KeqAK {(SUMAXP - (\sqrt{({SUMAXP}^{2} - (2 SUMAXP P)) + 8 KeqAK SUMAXP P + P^{2} - (4 KeqAK P^{2})}))}^{2}}{((- 1) + 4 KeqAK) KPFKAMP ((SUMAXP - P) + 4 KeqAK P - (\sqrt{({SUMAXP}^{2} - (2 SUMAXP P)) + 8 KeqAK SUMAXP P + P^{2} - (4 KeqAK P^{2})}))})}^{2} denom2 = {(1 + \frac{CiPFKATP (((- SUMAXP) + P - (4 KeqAK P)) + \sqrt{({SUMAXP}^{2} - (2 SUMAXP P)) + 8 KeqAK SUMAXP P + P^{2} - (4 KeqAK P^{2})})}{(2 - (8 KeqAK)) KiPFKATP})}^{2} {(1 + \frac{CPFKATP (((- SUMAXP) + P - (4 KeqAK P)) + \sqrt{({SUMAXP}^{2} - (2 SUMAXP P)) + 8 KeqAK SUMAXP P + P^{2} - (4 KeqAK P^{2})})}{(2 - (8 KeqAK)) KmPFKATP})}^{2} denom3 = {(1 + \frac{F26BP}{KPFKF26BP} + \frac{F16P}{KPFKF16BP})}^{2} {(1 + \frac{2 KeqAK {(SUMAXP - (\sqrt{({SUMAXP}^{2} - (2 SUMAXP P)) + 8 KeqAK SUMAXP P + P^{2} - (4 KeqAK P^{2})}))}^{2}}{((- 1) + 4 KeqAK) KPFKAMP ((SUMAXP - P) + 4 KeqAK P - (\sqrt{({SUMAXP}^{2} - (2 SUMAXP P)) + 8 KeqAK SUMAXP P + P^{2} - (4 KeqAK P^{2})}))})}^{2} {(1 + \frac{((- SUMAXP) + P - (4 KeqAK P)) + \sqrt{({SUMAXP}^{2} - (2 SUMAXP P)) + 8 KeqAK SUMAXP P + P^{2} - (4 KeqAK P^{2})}}{(2 - (8 KeqAK)) KiPFKATP})}^{2} vPFK = \frac{numerator1 numerator2}{denominator}

Component: vALD

vALD = \frac{\frac{cytoplasm VmALD F16P}{KmALDF16P} (1 - (\frac{DHAP GA3P}{F16P KeqALD}))}{1 + \frac{F16P}{KmALDF16P} + \frac{DHAP}{KmALDDHAP} + \frac{GA3P}{KmALDGAP} + \frac{F16P GA3P}{KmALDF16P KmALDGAPi} + \frac{DHAP GA3P}{KmALDDHAP KmALDGAP}}

Component: vG3PDH

vG3PDH = \frac{cytoplasm VmG3PDH (\frac{(- GLY) NAD}{KeqG3PDH} + \frac{NADH DHAP}{1 + KeqTPI})}{KmG3PDHDHAP KmG3PDHNADH (1 + \frac{NAD}{KmG3PDHNAD} + \frac{NADH}{KmG3PDHNADH}) (1 + \frac{GLY}{KmG3PDHGLY} + \frac{DHAP}{(1 + KeqTPI) KmG3PDHDHAP})}

Component: vGAPDH

vGAPDH = \frac{\frac{cytoplasm k_rel_GAPDH VmGAPDHf GA3P NAD}{KmGAPDHGAP KmGAPDHNAD} (1 - (\frac{BPG NADH}{GA3P NAD KeqGAPDH}))}{(1 + \frac{GA3P}{KmGAPDHGAP} + \frac{BPG}{KmGAPDHBPG}) (1 + \frac{NAD}{KmGAPDHNAD} + \frac{NADH}{KmGAPDHNADH})}

Component: vPGK

vPGK = \frac{1 cytoplasm VmPGK (\frac{KeqPGK BPG (SUMAXP - (\sqrt{({SUMAXP}^{2} - (2 SUMAXP P)) + 8 KeqAK SUMAXP P + P^{2} - (4 KeqAK P^{2})}))}{1 - (4 KeqAK)} - (\frac{(((- SUMAXP) + P - (4 KeqAK P)) + \sqrt{({SUMAXP}^{2} - (2 SUMAXP P)) + 8 KeqAK SUMAXP P + P^{2} - (4 KeqAK P^{2})}) P3G}{2 - (8 KeqAK)}))}{KmPGKATP KmPGKP3G (1 + \frac{SUMAXP - (\sqrt{({SUMAXP}^{2} - (2 SUMAXP P)) + 8 KeqAK SUMAXP P + P^{2} - (4 KeqAK P^{2})})}{(1 - (4 KeqAK)) KmPGKADP} + \frac{((- SUMAXP) + P - (4 KeqAK P)) + \sqrt{({SUMAXP}^{2} - (2 SUMAXP P)) + 8 KeqAK SUMAXP P + P^{2} - (4 KeqAK P^{2})}}{(2 - (8 KeqAK)) KmPGKATP}) (1 + \frac{BPG}{KmPGKBPG} + \frac{P3G}{KmPGKP3G})}

Component: vPGM

vPGM = \frac{\frac{cytoplasm VmPGM}{KmPGMP3G} (P3G - (\frac{P2G}{KeqPGM}))}{1 + \frac{P3G}{KmPGMP3G} + \frac{P2G}{KmPGMP2G}}

Component: vENO

vENO = \frac{\frac{cytoplasm VmENO}{KmENOP2G} (P2G - (\frac{PEP}{KeqENO}))}{1 + \frac{P2G}{KmENOP2G} + \frac{PEP}{KmENOPEP}}

Component: vPYK

vPYK = \frac{\frac{cytoplasm VmPYK}{KmPYKPEP KmPYKADP} (\frac{PEP (SUMAXP - (\sqrt{(P^{2} - (4 KeqAK P^{2}) - (2 P SUMAXP)) + 8 KeqAK P SUMAXP + {SUMAXP}^{2}}))}{1 - (4 KeqAK)} - (\frac{\frac{PYR ((P - (4 KeqAK P) - SUMAXP) + \sqrt{(P^{2} - (4 KeqAK P^{2}) - (2 P SUMAXP)) + 8 KeqAK P SUMAXP + {SUMAXP}^{2}})}{2 - (8 KeqAK)}}{KeqPYK}))}{(1 + \frac{PEP}{KmPYKPEP} + \frac{PYR}{KmPYKPYR}) (1 + \frac{\frac{(P - (4 KeqAK P) - SUMAXP) + \sqrt{(P^{2} - (4 KeqAK P^{2}) - (2 P SUMAXP)) + 8 KeqAK P SUMAXP + {SUMAXP}^{2}}}{2 - (8 KeqAK)}}{KmPYKATP} + \frac{\frac{SUMAXP - (\sqrt{(P^{2} - (4 KeqAK P^{2}) - (2 P SUMAXP)) + 8 KeqAK P SUMAXP + {SUMAXP}^{2}})}{1 - (4 KeqAK)}}{KmPYKADP})}

Component: vPDC

vPDC = \frac{\frac{cytoplasm VmPDC {PYR}^{nPDC}}{{KmPDCPYR}^{nPDC}}}{1 + \frac{{PYR}^{nPDC}}{{KmPDCPYR}^{nPDC}}}

Component: vSUC

vSUC = cytoplasm KSUCC ACE

Component: vADH

vADH = \frac{\frac{cytoplasm (- VmADH)}{KiADHNAD KmADHETOH} (NAD ETOH - (\frac{NADH ACE}{KeqADH}))}{1 + \frac{NAD}{KiADHNAD} + \frac{KmADHNAD ETOH}{KiADHNAD KmADHETOH} + \frac{KmADHNADH ACE}{KiADHNADH KmADHACE} + \frac{NADH}{KiADHNADH} + \frac{NAD ETOH}{KiADHNAD KmADHETOH} + \frac{KmADHNADH NAD ACE}{KiADHNAD KiADHNADH KmADHACE} + \frac{KmADHNAD ETOH NADH}{KiADHNAD KmADHETOH KiADHNADH} + \frac{NADH ACE}{KiADHNADH KmADHACE} + \frac{NAD ETOH ACE}{KiADHNAD KmADHETOH KiADHACE} + \frac{ETOH NADH ACE}{KiADHETOH KiADHNADH KmADHACE}}

Component: vATP

vATP = \frac{cytoplasm KATPASE ((P - (4 KeqAK P) - SUMAXP) + \sqrt{(P^{2} - (4 KeqAK P^{2}) - (2 P SUMAXP)) + 8 KeqAK P SUMAXP + {SUMAXP}^{2}})}{2 - (8 KeqAK)}

Component: vTPI

vTPI = \frac{cytoplasm k_rel_TPI (\frac{VmDHAP GA3P}{KmGA3P} - (\frac{VmGA3P DHAP}{KmDHAP}))}{1 + \frac{GA3P}{KmGA3P} + \frac{DHAP}{KmDHAP}}

Component: vG6PDH

vG6PDH = \frac{\frac{cytoplasm VmG6PDH G6P NADP}{KmG6P KmNADP}}{(1 + \frac{G6P}{KmG6P} + \frac{NADPH}{KiNADPH}) (1 + \frac{NADP}{KmNADP})}

Component: v6PGL

v6PGL = \frac{cytoplasm Vm6PGL D6PGluconoLactone}{Km6PGL + D6PGluconoLactone}

Component: vGluDH

vGluDH = \frac{\frac{cytoplasm VmGluDH D6PGluconate NADP}{KmGluconate KmNADP}}{(1 + \frac{D6PGluconate}{KmGluconate} + \frac{NADPH}{KiNADPH}) (1 + \frac{NADP}{KmNADP})}

Component: vPPI

vPPI = \frac{cytoplasm (\frac{VmPPIf Ribulose5P}{KmRibu5P} - (\frac{VmPPIr Ribose5P}{KmRibo5P}))}{1 + \frac{Ribulose5P}{KmRibu5P} + \frac{Ribose5P}{KmRibo5P}}

Component: vTransk1

vTransk1 = \frac{cytoplasm (\frac{VmTransk1f Ribose5P Xyl5P}{KmRibose5P KmXyl5P} - (\frac{VmTransk1r GA3P Seduhept7P}{KmGA3P KmSeduhept}))}{(1 + \frac{Ribose5P}{KmRibose5P} + \frac{GA3P}{KmGA3P}) (1 + \frac{Xyl5P}{KmXyl5P} + \frac{Seduhept7P}{KmSeduhept})}

Component: vR5PI

vR5PI = \frac{cytoplasm (\frac{VmR5PIf Ribulose5P}{KmRibu5P} - (\frac{VmR5PIr Xyl5P}{KmXyl}))}{1 + \frac{Ribulose5P}{KmRibu5P} + \frac{Xyl5P}{KmXyl}}

Component: vTransald

vTransald = \frac{cytoplasm (\frac{VmTransaldf GA3P Seduhept7P}{KmGA3P KmSeduhept} - (\frac{VmTransaldr F6P Erythrose4P}{KmF6P KmEry4P}))}{(1 + \frac{GA3P}{KmGA3P} + \frac{F6P}{KmF6P}) (1 + \frac{Seduhept7P}{KmSeduhept} + \frac{Erythrose4P}{KmEry4P})}

Component: vTransk2

vTransk2 = \frac{cytoplasm (\frac{VmTransk2f Erythrose4P Xyl5P}{KmEry4P KmXyl5P} - (\frac{VmTransk2r F6P GA3P}{KmF6P KmGA3P}))}{(1 + \frac{Xyl5P}{KmXyl5P} + \frac{GA3P}{KmGA3P}) (1 + \frac{Erythrose4P}{KmEry4P} + \frac{F6P}{KmF6P})}

Component: vNADPH

vNADPH = cytoplasm kNADPH NADPH

Component: vGLT

vGLT = \frac{cytoplasm VmGLT (GLCo - (\frac{GLCi}{KeqGLT}))}{KmGLTGLCo (1 + \frac{GLCo}{KmGLTGLCo} + \frac{GLCi}{KmGLTGLCi} + \frac{0.91 GLCo GLCi}{KmGLTGLCi KmGLTGLCo})}

Source: Derived from workspace Ralser at el. 2007 at changeset 008db0a043e4.

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Dynamic rerouting of the carbohydrate flux is key to counteracting oxidative stress