Difference between revisions of "Pyruvate kinase"

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The rate equation is represented by the allosteric regualation model of [http://en.wikipedia.org/wiki/MWC_model Monod, Wyman and Changeux] (MWS). FruBP and Serine are activators and ATP is inhibiting. Simple Micahelis-Menten law (Briggs Haldane) is used for ADP and reverse reaction
 
The rate equation is represented by the allosteric regualation model of [http://en.wikipedia.org/wiki/MWC_model Monod, Wyman and Changeux] (MWS). FruBP and Serine are activators and ATP is inhibiting. Simple Micahelis-Menten law (Briggs Haldane) is used for ADP and reverse reaction
  
<center><math>V_m \left( \left(\frac{\frac{[ADP]}{K_{ADP}}}{1+\frac{[ADP]}{K_{ADP}}}\right) \left( \frac{\frac{[PEP]}{K_{PEP}}\left( 1+\frac{[PEP]}{K_{PEP}}  \right)^3 }{ \frac{L \left( 1 + \frac{[ATP]}{Ki_{ADP}} \right)^4 }{ \left( 1 + \frac{[SER]}{Ka_{SER}} \right)^4 \left(  1 + \frac{F1,6BP}{Ka_{F1,6BP}} \right)^4  } + \left( 1 + \frac{[PEP]}{K_{PEP}} \right)^4} \right) - \left( \frac{\frac{[ATP][PYR]}{K_{ATP}K_{PYR}K_{eq}}}{\frac{[ATP]}{K_{ATP}} + \frac{[PYR]}{K_{PYR}} + \frac{[ATP][PYR]}{K_{ATP}K_{PYR} + 1} } \right)  \right)</math></center>
+
<center><math>V_m \left( \left(\frac{\frac{[ADP]}{K_{ADP}}}{1+\frac{[ADP]}{K_{ADP}}}\right) \left( \frac{\frac{[PEP]}{K_{PEP}}\left( 1+\frac{[PEP]}{K_{PEP}}  \right)^3 }{ \frac{L \left( 1 + \frac{[ATP]}{Ki_{ADP}} \right)^4 }{ \left( 1 + \frac{[SER]}{Ka_{SER}} \right)^4 \left(  1 + \frac{F1,6BP}{Ka_{F1,6BP}} \right)^4  } + \left( 1 + \frac{[PEP]}{K_{PEP}} \right)^4} \right) - \left( \frac{\frac{[ATP][PYR]}{K_{ATP}K_{PYR}K_{eq}}}{\frac{[ATP]}{K_{ATP}} + \frac{[PYR]}{K_{PYR}} + \frac{[ATP][PYR]}{K_{ATP}K_{PYR} } + 1} \right)  \right)</math></center>

Revision as of 18:12, 27 February 2014

Pyruvate kinase is a transferase enzyme that catalyzes the transfer of a phosphate group from phosphoenolpyruvate (PEP) to ADP, yielding one molecule of pyruvate and one molecule of ATP.

Chemical reaction

 PEP + ADP \rightleftharpoons Pyrvate + ATP

Rate equation

The rate equation is represented by the allosteric regualation model of Monod, Wyman and Changeux (MWS). FruBP and Serine are activators and ATP is inhibiting. Simple Micahelis-Menten law (Briggs Haldane) is used for ADP and reverse reaction

V_m \left( \left(\frac{\frac{[ADP]}{K_{ADP}}}{1+\frac{[ADP]}{K_{ADP}}}\right) \left( \frac{\frac{[PEP]}{K_{PEP}}\left( 1+\frac{[PEP]}{K_{PEP}}  \right)^3 }{ \frac{L \left( 1 + \frac{[ATP]}{Ki_{ADP}} \right)^4 }{ \left( 1 + \frac{[SER]}{Ka_{SER}} \right)^4 \left(  1 + \frac{F1,6BP}{Ka_{F1,6BP}} \right)^4  } + \left( 1 + \frac{[PEP]}{K_{PEP}} \right)^4} \right) - \left( \frac{\frac{[ATP][PYR]}{K_{ATP}K_{PYR}K_{eq}}}{\frac{[ATP]}{K_{ATP}} + \frac{[PYR]}{K_{PYR}} + \frac{[ATP][PYR]}{K_{ATP}K_{PYR} } + 1} \right)  \right)