Structural conditions on complex networks for the Michaelis-Menten input-output response.

ABSTRACT: The Michaelis-Menten (MM) fundamental formula describes how the rate of enzyme catalysis depends on substrate concentration. The familiar hyperbolic relationship was derived by timescale separation for a network of three reactions. The same formula has subsequently been found to describe steady-state input-output responses in many biological contexts, including single-molecule enzyme kinetics, gene regulation, transcription, translation, and force generation. Previous attempts to explain its ubiquity have been limited to networks with regular structure or simplifying parametric assumptions. Here, we exploit the graph-based linear framework for timescale separation to derive general structural conditions under which the MM formula arises. The conditions require a partition of the graph into

SUBMITTER: Wong F 

PROVIDER: S-EPMC6166846 | biostudies-literature | 2018 Sep

REPOSITORIES: biostudies-literature