Limit-cycle oscillations and stable patterns in repressor lattices

Sagar Chakraborty; Mogens Høgh Jensen; Sandeep Krishna; Anne Benedicte Mengel; Simone Pigolotti; Vedran Sekara; Szabolcs Semsey

doi:10.1103/PhysRevE.86.031905

Limit-cycle oscillations and stable patterns in repressor lattices

Sagar Chakraborty, Mogens Høgh Jensen, Sandeep Krishna, Anne Benedicte Mengel, Simone Pigolotti, Vedran Sekara, Szabolcs Semsey

2 Citationer (Scopus)

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.

Originalsprog	Engelsk
Tidsskrift	Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
Vol/bind	86
Udgave nummer	3
Sider (fra-til)	031905
Antal sider	9
ISSN	1539-3755
DOI	https://doi.org/10.1103/PhysRevE.86.031905
Status	Udgivet - 7 sep. 2012

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10.1103/PhysRevE.86.031905

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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.",

author = "Sagar Chakraborty and Jensen, {Mogens H{\o}gh} and Sandeep Krishna and Mengel, {Anne Benedicte} and Simone Pigolotti and Vedran Sekara and Szabolcs Semsey",

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T1 - Limit-cycle oscillations and stable patterns in repressor lattices

AU - Chakraborty, Sagar

AU - Jensen, Mogens Høgh

AU - Krishna, Sandeep

AU - Mengel, Anne Benedicte

AU - Pigolotti, Simone

AU - Sekara, Vedran

AU - Semsey, Szabolcs

PY - 2012/9/7

Y1 - 2012/9/7

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevE.86.031905

DO - 10.1103/PhysRevE.86.031905

M3 - Journal article

C2 - 23030942

SN - 1539-3755

VL - 86

SP - 031905

JO - Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)

JF - Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)

IS - 3

ER -

Limit-cycle oscillations and stable patterns in repressor lattices

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