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arXiv · 2502.17461

Weakly reversible deficiency zero realizations of reaction networks

Neal Buxton·Gheorghe Craciun·Abhishek Deshpande·Casian Pantea
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Abstract

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.

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Neal Buxton, Gheorghe Craciun, Abhishek Deshpande, Casian Pantea. 2025-02-10. Weakly reversible deficiency zero realizations of reaction networks. https://arxiv.org/abs/2502.17461

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