no code implementations • 6 May 2024 • Fernando Antoneli, Martin Golubitsky, Jiaxin Jin, Ian Stewart
Mathematically, the notion of homeostasis can be formalized in terms of an input-output function that maps the parameter representing the external disturbance to the output variable that must be kept within a fairly narrow range.
no code implementations • 12 Sep 2023 • Fernando Antoneli, Martin Golubitsky, Jiaxin Jin, Ian Stewart
In this paper, we use the framework of infinitesimal homeostasis to study general design principles for the occurrence of homeostasis in gene regulatory networks.
no code implementations • 8 Jul 2020 • Yangyang Wang, Zhengyuan Huang, Fernando Antoneli, Martin Golubitsky
We show that there is an $(n+1)\times(n+1)$ homeostasis matrix $H(\mathcal{I})$ for which $dx_o/d\mathcal{I} = 0$ if and only if $\det(H) = 0$.
