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Excitable solitons

  • Excitable pulses are among the most widespread dynamical patterns that occur in many different systems, ranging from biological cells to chemical reactions and ecological populations. Traditionally, the mutual annihilation of two colliding pulses is regarded as their prototypical signature. Here we show that colliding excitable pulses may exhibit solitonlike crossover and pulse nucleation if the system obeys a mass conservation constraint. In contrast to previous observations in systems without mass conservation, these alternative collision scenarios are robustly observed over a wide range of parameters. We demonstrate our findings using a model of intracellular actin waves since, on time scales of wave propagations over the cell scale, cells obey conservation of actin monomers. The results provide a key concept to understand the ubiquitous occurrence of actin waves in cells, suggesting why they are so common, and why their dynamics is robust and long-lived.

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Metadaten
Author details:Arik YochelisORCiDGND, Carsten BetaORCiDGND, Nir S. GovORCiD
DOI:https://doi.org/10.1103/PhysRevE.101.022213
ISSN:2470-0045
ISSN:2470-0053
Pubmed ID:https://pubmed.ncbi.nlm.nih.gov/32168571
Title of parent work (English):Physical review : E, Statistical, nonlinear and soft matter physics
Subtitle (English):annihilation, crossover, and nucleation of pulses in mass-conserving activator-inhibitor media
Publisher:American Physical Society
Place of publishing:Melville, NY
Publication type:Article
Language:English
Date of first publication:2020/02/19
Publication year:2020
Release date:2023/12/11
Volume:101
Issue:2
Article number:022213
Number of pages:6
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
DDC classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Peer review:Referiert
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