Weakly reversible deficiency zero realizations of reaction networks
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916628658126848 |
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| author | Buxton, Neal Craciun, Gheorghe Deshpande, Abhishek Pantea, Casian |
| author_facet | Buxton, Neal Craciun, Gheorghe Deshpande, Abhishek Pantea, Casian |
| contents | We prove that if a given reaction network $\mathcal{N}$ has a weakly reversible deficiency zero realization for all choice of rate constants, then there exists a $\textit{unique}$ weakly reversible deficiency zero network $\mathcal{N}'$ such that $\mathcal{N}$ is realizable by $\mathcal{N}'$. Additionally, we propose an algorithm to find this weakly reversible deficiency zero network $\mathcal{N}'$ when it exists. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_17461 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weakly reversible deficiency zero realizations of reaction networks Buxton, Neal Craciun, Gheorghe Deshpande, Abhishek Pantea, Casian Molecular Networks Dynamical Systems 37N25, 92C42, 80A30, 92D25, 92C45 We prove that if a given reaction network $\mathcal{N}$ has a weakly reversible deficiency zero realization for all choice of rate constants, then there exists a $\textit{unique}$ weakly reversible deficiency zero network $\mathcal{N}'$ such that $\mathcal{N}$ is realizable by $\mathcal{N}'$. Additionally, we propose an algorithm to find this weakly reversible deficiency zero network $\mathcal{N}'$ when it exists. |
| title | Weakly reversible deficiency zero realizations of reaction networks |
| topic | Molecular Networks Dynamical Systems 37N25, 92C42, 80A30, 92D25, 92C45 |
| url | https://arxiv.org/abs/2502.17461 |