Topological bounds on the dynamical growth rate of chemical reaction networks
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866918416249520128 |
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| author | Gagrani, Praful Wang, Jiwei De Decker, Yannick Lacoste, David |
| author_facet | Gagrani, Praful Wang, Jiwei De Decker, Yannick Lacoste, David |
| contents | Growth and decay are system-level properties of chemical reaction networks (CRNs) relevant from prebiotic chemistry to cellular metabolism. Their properties are typically analyzed through the kinetics of particular models, which requires specification of the full set of kinetic laws and parameters. In this work, we derive stoichiometry-based constraints on the growth (or shrinkage) rate, in the balanced-growth regime of scalable CRNs. The resulting bounds are controlled by a topological quantity, the maximum amplification factor, defined via a von Neumann max-min problem over feasible fluxes as illustrated by numerical tests on random-network ensembles of CRNs. We argue for the relevance of our results in the context of origin of life studies but also for designing synthetic chemical reaction networks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_02627 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Topological bounds on the dynamical growth rate of chemical reaction networks Gagrani, Praful Wang, Jiwei De Decker, Yannick Lacoste, David Molecular Networks Dynamical Systems Growth and decay are system-level properties of chemical reaction networks (CRNs) relevant from prebiotic chemistry to cellular metabolism. Their properties are typically analyzed through the kinetics of particular models, which requires specification of the full set of kinetic laws and parameters. In this work, we derive stoichiometry-based constraints on the growth (or shrinkage) rate, in the balanced-growth regime of scalable CRNs. The resulting bounds are controlled by a topological quantity, the maximum amplification factor, defined via a von Neumann max-min problem over feasible fluxes as illustrated by numerical tests on random-network ensembles of CRNs. We argue for the relevance of our results in the context of origin of life studies but also for designing synthetic chemical reaction networks. |
| title | Topological bounds on the dynamical growth rate of chemical reaction networks |
| topic | Molecular Networks Dynamical Systems |
| url | https://arxiv.org/abs/2603.02627 |