A hidden integral structure endows absolute concentration robust systems with resilience to dynamical concentration disturbances.

ABSTRACT: Biochemical systems that express certain chemical species of interest at the same level at any positive steady state are called 'absolute concentration robust' (ACR). These species behave in a stable, predictable way, in the sense that their expression is robust with respect to sudden changes in the species concentration, provided that the system reaches a (potentially new) positive steady state. Such a property has been proven to be of importance in certain gene regulatory networks and signaling systems. In the present paper, we mathematically prove that a well-known class of ACR systems studied by Shinar and Feinberg in 2010 hides an internal integral structure. This structure confers these systems with a higher degree of robustness than was previously known. In particular, disturbances

SUBMITTER: Cappelletti D 

PROVIDER: S-EPMC7653391 | biostudies-literature | 2020 Oct

REPOSITORIES: biostudies-literature