Because the inhibitory products of the pyruvate dehydrogenase reaction , that is NADH and acetyl -coA are also produces during beta-oxidation of fatty acids .
which resulted in conversion of active pyruvate dehydrogenase into it's inactive form .
The metabolism of pyruvate is affected by ATP/ADP , NADH/NAD+ and acetyl-CoA/CoA ratios .
Hence , that is the reason for inhibition of pyruvate to acetyl-coa .
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