Pyruvate kinase

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

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