4 papers
Period Homeostasis Near Hopf Bifurcation
Steve Manns, Janet Best, Martin Golubitsky
Homeostasis is a biological phenomenon in which a function of the state of the system remains approximately constant as an input parameter varies. Recent mathematical work has deve…
Homeostasis in Input-Output Networks: Structure, Classification and Applications
Fernando Antoneli, Martin Golubitsky, Jiaxin Jin +1
Homeostasis is concerned with regulatory mechanisms, present in biological systems, where some specific variable is kept close to a set value as some external disturbance affects t…
Homeostasis in Gene Regulatory Networks
Fernando Antoneli, Martin Golubitsky, Jiaxin Jin +1
In this paper, we use the framework of infinitesimal homeostasis to study general design principles for the occurrence of homeostasis in gene regulatory networks. We assume that th…
A model-independent theory of consensus and dissensus decision making
Alessio Franci, Martin Golubitsky, Anastasia Bizyaeva +1
We develop a model-independent framework to study the dynamics of decision-making in opinion networks for an arbitrary number of agents and an arbitrary number of options. Model-in…