TY - GEN
T1 - Input symmetry invariance, and applications to biological systems
AU - Shoval, Oren
AU - Alon, Uri
AU - Sontag, Eduardo
PY - 2011
Y1 - 2011
N2 - 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
AB - 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
UR - http://www.scopus.com/inward/record.url?scp=84860665290&partnerID=8YFLogxK
U2 - 10.1109/CDC.2011.6160251
DO - 10.1109/CDC.2011.6160251
M3 - Conference contribution
AN - SCOPUS:84860665290
SN - 9781612848006
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 2233
EP - 2238
BT - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Y2 - 12 December 2011 through 15 December 2011
ER -