Linear conjugacy of chemical reaction networks

By Matthew D. Johnston, David Siegel. 2011

54 citations recorded by the source corpus.

Under suitable assumptions, the dynamic behaviour of a chemical reaction network is governed by an autonomous set of polynomial ordinary differential equations over continuous variables representing the concentrations of the reactant species. It is known that two networks may possess the same governing mass-action dynamics despite disparate network structure. To date, however, there has only been limited work exploiting this phenomenon even for the cases where one network possesses known dynamics while the other does not. In this paper, we bring these known results into a broader unified theory which we call conjugate chemical reaction network theory. We present a theorem which gives conditions under which two networks with different governing mass-action dynamics may exhibit the same qualitative dynamics and use it to extend the scope of the well-known theory of weakly reversible systems.

Subfields: Computational Theory and Mathematics, Molecular Biology

View Paper: https://www.semanticscholar.org/paper/1d26aadec4694b53dce343c9ed468746abe304fa

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Julio R. Banga
2. Gábor Szederkényi
3. Antonio A. Alonso

In Molecular Biology

1. Julio R. Banga
2. Gábor Szederkényi
3. Antonio A. Alonso

Citations in the corpus

• Inference of complex biological networks: distinguishability issues and optimization-based solutions (2011, background): “However, a constructive optimization-based approach for the study of dynamically equivalent (or similar) reaction networks is a recent development [71-74], which we further extend in this paper.”