Petrungaro, Gabriela, Uriu, Koichiro and Morelli, Luis G. (2019). Synchronization dynamics of mobile oscillators in the presence of coupling delays. Phys. Rev. E, 99 (6). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2470-0053

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Abstract

Individual biological oscillators can synchronize to generate a collective rhythm. During vertebrate development, mobile cells exchange signals to synchronize a rhythmic pattern generator that makes the embryonic segments. Previous theoretical works have shown that cell mobility can enhance synchronization of coupled oscillators when signal exchange is instantaneous. However, in vertebrate segmentation, the exchange of signals is thought to comprise delays from signal sending and processing, which could alter the effect of mobility on synchronization. Here, we study synchronization dynamics of mobile phase oscillators in the presence of coupling delays. We find that mobility can speed up synchronization when coupling delays are present. We derive an analytical expression for the characteristic time of synchronization dynamics, which is in very good agreement with numerical simulations. This analytical expression suggests a subdivision of the mobility range into different dynamical regimes and reveals that, with delayed coupling, synchronization is enhanced at a lower mobility rate than with instantaneous coupling. We argue that these results may be relevant to the synchronization of mobile oscillators in vertebrate segmentation.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Petrungaro, GabrielaUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Uriu, KoichiroUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Morelli, Luis G.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-137942
DOI: 10.1103/PhysRevE.99.062207
Journal or Publication Title: Phys. Rev. E
Volume: 99
Number: 6
Date: 2019
Publisher: AMER PHYSICAL SOC
Place of Publication: COLLEGE PK
ISSN: 2470-0053
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
MOVEMENT PROMOTES SYNCHRONIZATION; LIMIT-CYCLE OSCILLATORS; VERTEBRATE SEGMENTATION; CELL; DELTA-LIKE1; ACTIVATION; INITIATION; EXPRESSION; NETWORKS; IMPACTMultiple languages
Physics, Fluids & Plasmas; Physics, MathematicalMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/13794

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