Input symmetry invariance, and applications to biological systems

Oren Shoval, Uri Alon, Eduardo Sontag

Research output: Contribution to journalConference articlepeer-review


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.
Original languageEnglish
Pages (from-to)2233-2238
Number of pages6
Journal2011 50Th Ieee Conference On Decision And Control And European Control Conference (Cdc-Ecc)
StatePublished - 2011
Event50th IEEE Conference of Decision and Control (CDC)/European Control Conference (ECC) - Orlando, FL
Duration: 12 Dec 201115 Dec 2011


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