Absolute concentration robustness: Algebra and geometry
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arXiv
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866915016301608960 |
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| author | Puente, Luis David García Gross, Elizabeth Harrington, Heather A Johnston, Matthew Meshkat, Nicolette Millán, Mercedes Pérez Shiu, Anne |
| author_facet | Puente, Luis David García Gross, Elizabeth Harrington, Heather A Johnston, Matthew Meshkat, Nicolette Millán, Mercedes Pérez Shiu, Anne |
| contents | Motivated by the question of how biological systems maintain homeostasis in changing environments, Shinar and Feinberg introduced in 2010 the concept of absolute concentration robustness (ACR). A biochemical system exhibits ACR in some species if the steady-state value of that species does not depend on initial conditions. Thus, a system with ACR can maintain a constant level of one species even as the environment changes. Despite a great deal of interest in ACR in recent years, the following basic question remains open: How can we determine quickly whether a given biochemical system has ACR? Although various approaches to this problem have been proposed, we show that they are incomplete. Accordingly, we present new methods for deciding ACR, which harness computational algebra. We illustrate our results on several biochemical signaling networks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_00078 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Absolute concentration robustness: Algebra and geometry Puente, Luis David García Gross, Elizabeth Harrington, Heather A Johnston, Matthew Meshkat, Nicolette Millán, Mercedes Pérez Shiu, Anne Algebraic Geometry Dynamical Systems Molecular Networks 37N25, 92E20, 12D10, 37C25, 65H14, 14Q20 Motivated by the question of how biological systems maintain homeostasis in changing environments, Shinar and Feinberg introduced in 2010 the concept of absolute concentration robustness (ACR). A biochemical system exhibits ACR in some species if the steady-state value of that species does not depend on initial conditions. Thus, a system with ACR can maintain a constant level of one species even as the environment changes. Despite a great deal of interest in ACR in recent years, the following basic question remains open: How can we determine quickly whether a given biochemical system has ACR? Although various approaches to this problem have been proposed, we show that they are incomplete. Accordingly, we present new methods for deciding ACR, which harness computational algebra. We illustrate our results on several biochemical signaling networks. |
| title | Absolute concentration robustness: Algebra and geometry |
| topic | Algebraic Geometry Dynamical Systems Molecular Networks 37N25, 92E20, 12D10, 37C25, 65H14, 14Q20 |
| url | https://arxiv.org/abs/2401.00078 |