Simple models of threshold curves in the expression of inborn errors of metabolism: application to some experimental observations.

The expression of an enzymatic deficiency in a metabolic network can present a biochemical threshold. This threshold can be characterised thus: (1) a low activity of the enzyme can sustain a normal flux, but (2) a minute further decrease of its activity makes the flux collapse. We give simple mathematical models displaying such a behaviour, and we apply the models to some examples of oxidative phosphorylation dependency on respiratory chain complex deficiency.