ArticleBulletin of mathematical biology2017
Analysis of Homeostatic Mechanisms in Biochemical Networks.
Article in Bulletin of mathematical biology, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 15 papers.
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15 citing papers in PubMed, 47 citations in OpenAlex.
- Automated Classification of Homeostasis Structure in Input-Output Networks.Bulletin of mathematical biology · 2026Article
- The adaptation property in non-equilibrium chemical systems.Journal of mathematical biology · 2026Article
- The chronODE framework for modelling multi-omic time series with ordinary differential equations and machine learning.Nature communications · 2025Article
- Minimal motifs for habituating systems.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- Homeostasis in networks with multiple inputs.Journal of mathematical biology · 2024Article
- Time-dependent homeostatic mechanisms underlie brain-derived neurotrophic factor action on neural circuitry.Communications biology · 2023Article
- Reliability and robustness of oscillations in some slow-fast chaotic systems.Chaos (Woodbury, N.Y.) · 2023Article
- Functional advantages of building nanosystems using multiple molecular components.Nature chemistry · 2023Article
- Advancing physiology education by understanding the multiple dimensions of homeostasis.Frontiers in physiology · 2023Review
- Classification of infinitesimal homeostasis in four-node input-output networks.Journal of mathematical biology · 2022Article
- A homeostasis criterion for limit cycle systems based on infinitesimal shape response curves.Journal of mathematical biology · 2022Article
- A description of the relationship in healthy longevity and aging-related disease: from gene to protein.Immunity & ageing : I & A · 2021Review
- The structure of infinitesimal homeostasis in input-output networks.Journal of mathematical biology · 2021Article
- Infinitesimal homeostasis in three-node input-output networks.Journal of mathematical biology · 2020Article
- Serine synthesis through PHGDH coordinates nucleotide levels by maintaining central carbon metabolism.Nature communications · 2018Article
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Authors and funding
5 authors at 3 institutions in 2 countries.
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Abstract
Cell metabolism is an extremely complicated dynamical system that maintains important cellular functions despite large changes in inputs. This "homeostasis" does not mean that the dynamical system is rigid and fixed. Typically, large changes in external variables cause large changes in some internal variables so that, through various regulatory mechanisms, certain other internal variables (concentrations or velocities) remain approximately constant over a finite range of inputs. Outside that range, the mechanisms cease to function and concentrations change rapidly with changes in inputs. In this paper we analyze four different common biochemical homeostatic mechanisms: feedforward excitation, feedback inhibition, kinetic homeostasis, and parallel inhibition. We show that all four mechanisms can occur in a single biological network, using folate and methionine metabolism as an example. Golubitsky and Stewart have proposed a method to find homeostatic nodes in networks. We show that their method works for two of these mechanisms but not the other two. We discuss the many interesting mathematical and biological questions that emerge from this analysis, and we explain why understanding homeostatic control is crucial for precision medicine.
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