The disguised toric locus and affine equivalence of reaction networks
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Acceso en línea: | |
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| _version_ | 1866916112161046528 |
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| author | Haque, Sabina J. Satriano, Matthew Sorea, Miruna-Stefana Yu, Polly Y. |
| author_facet | Haque, Sabina J. Satriano, Matthew Sorea, Miruna-Stefana Yu, Polly Y. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_06629 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The disguised toric locus and affine equivalence of reaction networks Haque, Sabina J. Satriano, Matthew Sorea, Miruna-Stefana Yu, Polly Y. Dynamical Systems 37N25, 34C08, 14P05, 14P10, 92C42 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. |
| title | The disguised toric locus and affine equivalence of reaction networks |
| topic | Dynamical Systems 37N25, 34C08, 14P05, 14P10, 92C42 |
| url | https://arxiv.org/abs/2205.06629 |