title: Limit-cycle oscillations and stable patterns in repressor lattices.
abstract: As a model for cell-to-cell communication in biological tissues, we construct repressor lattices by repeating a regulatory three-node motif on a hexagonal structure. Local interactions can be unidirectional, where a node either represses or activates a neighbor that does not communicate backwards. Alternatively, they can be bidirectional where two neighboring nodes communicate with each other. In the unidirectional case, we perform stability analyses for the transitions from stationary to oscillating states in lattices with different regulatory units. In the bidirectional case, we investigate transitions from oscillating states to ordered patterns generated by local switches. Finally, we show how such stable patterns in two-dimensional lattices can be generalized to three-dimensional systems.
authors.affiliation: NBIA, Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, 2100 Copenhagen Ø, Denmark. sagar@nbi.dk
authors.forename: Sagar
authors.initials: S
authors.lastname: Chakraborty
authors.forename: Mogens H
authors.initials: MH
authors.lastname: Jensen
authors.forename: Sandeep
authors.initials: S
authors.lastname: Krishna
authors.forename: Benedicte
authors.initials: B
authors.lastname: Mengel Pers
authors.forename: Simone
authors.initials: S
authors.lastname: Pigolotti
authors.forename: Vedran
authors.initials: V
authors.lastname: Sekara
authors.forename: Szabolcs
authors.initials: S
authors.lastname: Semsey
mesh_terms: D002450:Cell Communication; D025461:Feedback, Physiological; D008954:Models, Biological; D012097:Repressor Proteins / Q000378:metabolism*
chemical_list: D012097:Repressor Proteins