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Homeostasis in Input-Output Networks: Structure, Classification and Applications
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.
Homeostasis in Gene Regulatory Networks
In this paper, we use the framework of infinitesimal homeostasis to study general design principles for the occurrence of homeostasis in gene regulatory networks.
Homeostatic Mechanisms in Biological Systems
The analysis is based on the notions of infinitesimal homeostasis and near-perfect homeostasis.
Homeostasis in Networks with Multiple Input Nodes and Robustness in Bacterial Chemotaxis
In this context, we improve a general theory for the analysis of homeostasis in network dynamical systems with distinguished input and output nodes, called `input-output networks'.
The Structure of Infinitesimal Homeostasis in Input-Output Networks
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 $\det(H) = 0$.
