Empirically Exploring the Space of Monostationarity in Dual Phosphorylation
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866917785397886976 |
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| author | Cai, May Himmelmann, Matthias Ostermann, Birte |
| author_facet | Cai, May Himmelmann, Matthias Ostermann, Birte |
| contents | The dual phosphorylation network provides an essential component of intracellular signaling, affecting the expression of phenotypes and cell metabolism. For particular choices of kinetic parameters, this system exhibits multistationarity, a property that is relevant in the decision-making of cells. Determining which reaction rate constants correspond to monostationarity and which produce multistationarity is an open problem. The system's monostationarity is linked to the nonnegativity of a specific polynomial. A previous study by Feliu et al. provides a sufficient condition for monostationarity via a decomposition of this polynomial into nonnegative circuit polynomials. However, this decomposition is not unique. We extend their work by a systematic approach to classifying such decompositions in the dual phosphorylation network. Using this result classification, we provide a qualitative comparison of the decompositions into nonnegative circuit polynomials via empirical experiments and improve on previous conditions for the region of monostationarity. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2409_16234 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Empirically Exploring the Space of Monostationarity in Dual Phosphorylation Cai, May Himmelmann, Matthias Ostermann, Birte Optimization and Control Algebraic Geometry 92C42, 14Q99, 92-08, 68W30 The dual phosphorylation network provides an essential component of intracellular signaling, affecting the expression of phenotypes and cell metabolism. For particular choices of kinetic parameters, this system exhibits multistationarity, a property that is relevant in the decision-making of cells. Determining which reaction rate constants correspond to monostationarity and which produce multistationarity is an open problem. The system's monostationarity is linked to the nonnegativity of a specific polynomial. A previous study by Feliu et al. provides a sufficient condition for monostationarity via a decomposition of this polynomial into nonnegative circuit polynomials. However, this decomposition is not unique. We extend their work by a systematic approach to classifying such decompositions in the dual phosphorylation network. Using this result classification, we provide a qualitative comparison of the decompositions into nonnegative circuit polynomials via empirical experiments and improve on previous conditions for the region of monostationarity. |
| title | Empirically Exploring the Space of Monostationarity in Dual Phosphorylation |
| topic | Optimization and Control Algebraic Geometry 92C42, 14Q99, 92-08, 68W30 |
| url | https://arxiv.org/abs/2409.16234 |