(Integrates with Chapters 3,18 , and \(22 .\) ) The conversion of PEP to
pyruvate by pyruvate kinase (glycolysis) and the reverse reaction to form PEP
from pyruvate by pyruvate carboxylase and PEP carboxykinase (gluconeogenesis)
represent a so-called substrate cycle. The direction of net conversion is
determined by the relative concentrations of allosteric regulators that exert
kinetic control over pyruvate kinase, pyruvate carboxylase, and PEP
carboxykinase. Recall that the last step in glycolysis is catalyzed by
pyruvate kinase:
\(P E P+A D P \rightleftharpoons\) pyruvate \(+\) ATP
The standard free energy change is \(-31.7 \mathrm{kJ} / \mathrm{mol}\).
a. Calculate the equilibrium constant for this reaction.
b. If \([\mathrm{ATP}]=[\mathrm{ADP}],\) by what factor must [pyruvate] exceed
[PEP] for this reaction to proceed in the reverse direction? The reversal of
this reaction in eukaryotic cells is essential to gluconeogenesis and proceeds
in two steps, each requiring an equivalent of nucleoside triphosphate energy:
c. The \(\Delta G^{\circ}\) ' for the overall reaction is \(+0.8 \mathrm{kJ} /\)
mol. What is the value of \(K_{\mathrm{eq}} ?\)
d. Assuming [ATP] = [ADP], [GTP] = [GDP], and Pi \(=1 \mathrm{m} M\) when this
reaction reaches equilibrium, what is the ratio of \([\mathrm{PEP}] /[\text {
pyruvate }]\)
e. Are both directions in the substrate cycle likely to be strongly favored
under physiological conditions?