2011
- ▪O. Shoval, U. Alon, E.D. Sontag, "Input symmetry invariance, and applications to biological systems", In Proc. IEEE Conf. Decision and Control, Orlando, Dec. 2011, pp. TuA02.5, 2011. adaptation · biological adaptation · perfect adaptation · adaptation · feedforward loops · integral feedback · scale invariance · systems biology · transient behavior · symmetries · fcd · fold-change detection · jump Markov processes
Abstract
This paper studies invariance with respect to symmetries in sensory fields, a particular case of which, scale invariance, has recently been found in certain eukaryotic as well as bacterial cell signaling systems. We describe a necessary and sufficient characterization of symmetry invariance in terms of equivariant transformations, show how this characterization helps find all possible symmetries in standard models of biological adaptation, and discuss symmetry-invariant searches.
- ▪E.D. Sontag, "Remarks on invariance of population distributions for systems with equivariant internal dynamics", 2011. wwwpdf