Identifiability of SDEs for reaction networks
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866911628374573056 |
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| author | Faul, Louis Hoessly, Linard Xia, Panqiu |
| author_facet | Faul, Louis Hoessly, Linard Xia, Panqiu |
| contents | Biochemical reaction networks are widely applied across scientific disciplines to model complex dynamic systems. We investigate the diffusion approximation of reaction networks with mass-action kinetics, focusing on the identifiability of the stochastic differential equations associated to the reaction network. We derive conditions under which the law of the diffusion approximation is identifiable and provide theorems for verifying identifiability in practice. Notably, our results show that some reaction networks have non-identifiable reaction rates, even when the law of the corresponding stochastic process is completely known. Moreover, we show that reaction networks with distinct graphical structures can generate the same diffusion law under specific choices of reaction rates. Finally, we compare our framework with identifiability results in the deterministic ODE setting and the discrete continuous-time Markov chain models for reaction networks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_07638 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Identifiability of SDEs for reaction networks Faul, Louis Hoessly, Linard Xia, Panqiu Probability Molecular Networks 60J60, 60H10, 92C42, 92C45, 92E20 Biochemical reaction networks are widely applied across scientific disciplines to model complex dynamic systems. We investigate the diffusion approximation of reaction networks with mass-action kinetics, focusing on the identifiability of the stochastic differential equations associated to the reaction network. We derive conditions under which the law of the diffusion approximation is identifiable and provide theorems for verifying identifiability in practice. Notably, our results show that some reaction networks have non-identifiable reaction rates, even when the law of the corresponding stochastic process is completely known. Moreover, we show that reaction networks with distinct graphical structures can generate the same diffusion law under specific choices of reaction rates. Finally, we compare our framework with identifiability results in the deterministic ODE setting and the discrete continuous-time Markov chain models for reaction networks. |
| title | Identifiability of SDEs for reaction networks |
| topic | Probability Molecular Networks 60J60, 60H10, 92C42, 92C45, 92E20 |
| url | https://arxiv.org/abs/2505.07638 |