Pattern Formation in a Spatially-Extended Model of Pacemaker Dynamics in Smooth Muscle Cells Article Swipe
Henry O. Fatoyinbo
,
R. G. Brown
,
David J. W. Simpson
,
B. van Brunt
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2111.00168
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2111.00168
Spatiotemporal patterns are common in biological systems. For electrically-coupled cells previous studies of pattern formation have mainly used external forcing as the main bifurcation parameter. The purpose of this paper is to show that spatiotemporal patterns in electrically-coupled smooth muscle cells occur even in the absence of forcing. We study a reaction-diffusion system with the Morris-Lecar equations and observe a wide range of spatiotemporal patterns for different values of the model parameters. Some aspects of these patterns are explained via a bifurcation analysis of the system without coupling -- in particular Type I and Type II excitability both occur. We show the patterns are not due to a Turing instability and use travelling wave coordinates to analyse travelling waves.
Related Topics
Concepts
Pattern formation
Forcing (mathematics)
Bifurcation
Coupling (piping)
Traveling wave
Biological system
Turing
Instability
Reaction–diffusion system
Physics
Spatiotemporal pattern
Dynamics (music)
Type (biology)
Statistical physics
Computer science
Mechanics
Mathematical analysis
Mathematics
Nonlinear system
Biology
Materials science
Acoustics
Ecology
Programming language
Quantum mechanics
Metallurgy
Genetics
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2111.00168
- https://arxiv.org/pdf/2111.00168
- OA Status
- green
- Cited By
- 1
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4303857583
All OpenAlex metadata
Raw OpenAlex JSON
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https://openalex.org/W4303857583Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2111.00168Digital Object Identifier
- Title
-
Pattern Formation in a Spatially-Extended Model of Pacemaker Dynamics in Smooth Muscle CellsWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2021Year of publication
- Publication date
-
2021-10-30Full publication date if available
- Authors
-
Henry O. Fatoyinbo, R. G. Brown, David J. W. Simpson, B. van BruntList of authors in order
- Landing page
-
https://arxiv.org/abs/2111.00168Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2111.00168Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/2111.00168Direct OA link when available
- Concepts
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Pattern formation, Forcing (mathematics), Bifurcation, Coupling (piping), Traveling wave, Biological system, Turing, Instability, Reaction–diffusion system, Physics, Spatiotemporal pattern, Dynamics (music), Type (biology), Statistical physics, Computer science, Mechanics, Mathematical analysis, Mathematics, Nonlinear system, Biology, Materials science, Acoustics, Ecology, Programming language, Quantum mechanics, Metallurgy, GeneticsTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
1Total citation count in OpenAlex
- Citations by year (recent)
-
2023: 1Per-year citation counts (last 5 years)
- Related works (count)
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10Other works algorithmically related by OpenAlex
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| primary_location.is_accepted | False |
| primary_location.is_published | False |
| primary_location.raw_source_name | |
| primary_location.landing_page_url | http://arxiv.org/abs/2111.00168 |
| publication_date | 2021-10-30 |
| publication_year | 2021 |
| referenced_works_count | 0 |
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| citation_normalized_percentile |