# The disguised toric locus and affine equivalence of reaction networks

Source: [The disguised toric locus and affine equivalence of reaction networks](<https://www.sota2.com/research/paper/68fa5b651e209131ce9c7e7a>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T17:02:35.507Z

Authors: Sabina J. Haque, Matthew Satriano, Miruna-Stefana Sorea, Polly Y. Yu

Published: 2022-05-13T13:22:22.000Z

## Abstract

Under the assumption of mass-action kinetics, a dynamical system may be induced by several different reaction networks and/or parameters. It is therefore possible for a mass-action system to exhibit complex-balancing dynamics without being weakly reversible or satisfying toric constraints on the rate constants; such systems are called disguised toric dynamical systems. We show that the parameters that give rise to such systems are preserved under invertible affine transformations of the network. We also consider the dynamics of arbitrary mass-action systems under affine transformations, and show that there is a bijection between their sets of positive steady states, although their qualitative dynamics can differ substantially.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2205.06629>)

[PDF](<https://arxiv.org/pdf/2205.06629.pdf>)