Trend to Equilibrium for a Reaction-Diffusion System Modelling Reversible Enzyme Reaction

Bull Math Biol. 2018 Jan;80(1):104-129. doi: 10.1007/s11538-017-0364-4. Epub 2017 Nov 13.

Abstract

A spatio-temporal evolution of chemicals appearing in a reversible enzyme reaction and modelled by a four-component reaction-diffusion system with the reaction terms obtained by the law of mass action is considered. The large time behaviour of the system is studied by means of entropy methods.

Keywords: Entropy method; Enzyme reaction; Reaction–diffusion system.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Entropy
  • Enzymes / metabolism*
  • Kinetics
  • Mathematical Concepts
  • Models, Biological*

Substances

  • Enzymes