Difference between revisions of "Mitocondrial pyruvate metabolism"
(→Rate equation) |
|||
Line 28: | Line 28: | ||
*In this model | *In this model | ||
− | **The rate law is <center><math>v = K_1[Pyruvate][ADP]^{13}\left(1-\frac{\ | + | **The rate law is <center><math>v = K_1[Pyruvate][ADP]^{13}\left(1-\frac{\frac{[ATP]^{13}}{[Pyruvate][ADP]^{13}}}{K_{eq}}\right)</math></center> |
**The <math>K_{eq}</math> value for the reactions that converts pyruvate has been defined as <math>0.00001</math> in <ref name="Owusu_2004">Owusu-Apenten R. ''Introduction to Food Chemistry'', First Edition, CRC Press (2004), ISBN-10: 084931724X </ref><center>[[File:Pyruvate_Keq.png|550px|link=]]</center> | **The <math>K_{eq}</math> value for the reactions that converts pyruvate has been defined as <math>0.00001</math> in <ref name="Owusu_2004">Owusu-Apenten R. ''Introduction to Food Chemistry'', First Edition, CRC Press (2004), ISBN-10: 084931724X </ref><center>[[File:Pyruvate_Keq.png|550px|link=]]</center> | ||
**The flux value at steady state is <math> v = 1 \times 10^{-4}</math> <ref name="Hernandez2011"> Marín-Hernández A, Gallardo-Pérez JC, Rodríguez-Enríquez S et al (2011) Modeling cancer glycolysis. Biochim Biophys Acta 1807:755–767 ([http://dx.doi.org/10.1016/j.bbabio.2010.11.006 doi])</ref>. | **The flux value at steady state is <math> v = 1 \times 10^{-4}</math> <ref name="Hernandez2011"> Marín-Hernández A, Gallardo-Pérez JC, Rodríguez-Enríquez S et al (2011) Modeling cancer glycolysis. Biochim Biophys Acta 1807:755–767 ([http://dx.doi.org/10.1016/j.bbabio.2010.11.006 doi])</ref>. |
Revision as of 11:36, 12 May 2014
Mitocondrial pyruvate metabolism(MPM) is an enzyme that generates ATP form pyruvate.
Chemical reaction
Rate equation
- Chemical reactions proceed to equilibrium within closed systems. For a simple reaction it is defined as where forward and reverse rates are equal.
- Equilibrium is not reached in open system due to influx and outflux. Mass action ratio[1] for reaction is defined as where subscript ob represents observable at a given point.
- Deviation from equilibrium is measured with Disequilibrium constant as
- Given the simple uni molecular reaction the mass action equation can be modified as
Considering and we have,
- The generalized arbitrary mass action ratio gives us
For eg. for the reaction , the rate law would be
- This equation demonstrates how a rate expression can be divided into parts that include both kinetics and thermodynamic properties [2].
- Given the net rate of reaction , we have
- In this model
- The rate law is
Failed to parse (Cannot store math image on filesystem.): v = K_1[Pyruvate][ADP]^{13}\left(1-\frac{\frac{[ATP]^{13}}{[Pyruvate][ADP]^{13}}}{K_{eq}}\right) - The value for the reactions that converts pyruvate has been defined as Failed to parse (Cannot store math image on filesystem.): 0.00001
in [3]
- The flux value at steady state is [4].
- The steady state concentrations for substrates and products are , and .
- The value ca
- The rate law is
Parameter values
Parameter | Value | Organism | Remarks |
---|---|---|---|
[4] | HeLa cell line | Constant flux |
References
- ↑ Hess B. and Brand K. (1965), Enzymes and metabolite profiles. In Control of energy metabolism. III. Ed. B. Chance, R. K. Estabrook and J. R. Williamson. New York: Academic Press
- ↑ Sauro H M, Enzyme Kinetics for Systems Biology, Second Edition, Ambrosius Publishing (2013), ISBN-10: 0-9824773-3-3
- ↑ Owusu-Apenten R. Introduction to Food Chemistry, First Edition, CRC Press (2004), ISBN-10: 084931724X
- ↑ 4.0 4.1 Marín-Hernández A, Gallardo-Pérez JC, Rodríguez-Enríquez S et al (2011) Modeling cancer glycolysis. Biochim Biophys Acta 1807:755–767 (doi)