Homeostasis Patterns

Autor(es)

Duncan, William ; Antoneli, Fernando ; Best, Janet ; Golubitsky, Martin ; Jin, Jiaxin ; Nijhout, H. . Frederik ; Reed, Mike ; Stewart, Ian

• Tipo de documento: Artigo Científico
• Fonte: SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS; v. 23, n. 3, p. 31-pg., 2024-01-01.

Resumo

Homeostasis is a regulatory mechanism that keeps a specific variable close to a set value as other variables fluctuate. The notion of homeostasis can be rigorously formulated when the model of interest is represented as an input-output network, with distinguished input and output nodes, and the dynamics of the network determines the corresponding input-output function of the system. In this context, homeostasis can be defined as an ``infinitesimal"" notion, namely, the derivative of the input-output function is zero at an isolated point. Combining this approach with graph-theoretic ideas from combinatorial matrix theory provides a systematic framework for calculating homeostasis points in models and classifying the different homeostasis types in input-output networks. In this paper we extend this theory by introducing the notion of a homeostasis pattern, defined as a set of nodes, in addition to the output node, that are simultaneously infinitesimally homeostatic. We prove that each homeostasis type leads to a distinct homeostasis pattern. Moreover, we describe all homeostasis patterns supported by a given input-output network in terms of a combinatorial structure associated to the input-output network. We call this structure the homeostasis pattern network. (AU)

• Processo FAPESP: 19/21181-0 - Novas fronteiras na Teoria de Singularidades
• Beneficiário: Regilene Delazari dos Santos Oliveira
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 19/12247-7 - Modelo matemático para a regulação da concentração de colesterol intracelular livre em diferentes tipos celulares
• Beneficiário: Fernando Martins Antoneli Junior
• Modalidade de apoio: Auxílio à Pesquisa - Regular