Feedback regulation is pervasive in biology at both the organismal and cellular level. In this
article, we explore the properties of a particular biomolecular feedback mechanism called …

… We consider a finite set of Bayesian agents V and denote N = |V |. The agents are connected
by an undirected social network graph G = (V,E). We assume that the graph is connected. …

… If, for example, the protein of interest were a monomer (ie, N = … N corresponds to cooperativity
and c s corresponds to the width of the sensitivity regime, we see directly that increasing N …

… A, which we prove in Olsman et al. (2018). We find that for the case of n > 2 process species
(… that there is a qualitative difference performance between n = 1 species and n R 2 species. …

… , ϵ 0 ) = 1 + c K A N 1 + c K A N + e ϵ 0 1 + c K I N , assumes that the … between the active an
inactive states, N is the total number of subunits… Our goal is to set the steady-state level of x N …

… Because the scale of N* is set by N m , we can non-dimensionalize the population size
with the term N*/N m . In the case γ R = 0, we can recast equation (16) as: Embedded Image …

An approach combining genetic, proteomic, computational, and physiological analysis was
used to define a protein network that regulates fat storage in budding yeast (Saccharomyces …

… that can produce limit cycles have at least four states (Olsman et al. (2019a)), making it …
if there exist a symmetric matrix P with inertia (p, 0,n − p) and a positive constant ε such that …

… We let t denote time and x 1 , …, x n denote the concentrations of the process species X 1
, …, X n . We let z 1 and z 2 denote the concentrations of the controller species Z 1 and Z 2 , …

… Noah Olsman,1 Fangzhou Xiao,2 and John Doyle1,* 1Department of Control and
Dynamical Systems, California Institute of Technology, 1200 E. California Blvd, Pasadena …