Pattern Formation in a Spatially Extended Model of Pacemaker Dynamics in Smooth Muscle Cells.

H O Fatoyinbo, R G Brown, D J W Simpson, B van Brunt

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Article in Bulletin of mathematical biology, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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5 · Who and what money

Authors and funding

4 authors.

H O FatoyinboSchool of Mathematical and Computational Sciences, Massey University, Palmerston North, New Zealand. H.Fatoyinbo@massey.ac.nz.ORCID http://orcid.org/0000-0002-6036-2957

R G BrownSchool of Mathematical and Computational Sciences, Massey University, Palmerston North, New Zealand.

D J W SimpsonSchool of Mathematical and Computational Sciences, Massey University, Palmerston North, New Zealand.

B van BruntSchool of Mathematical and Computational Sciences, Massey University, Palmerston North, New Zealand.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

Spatiotemporal patterns are common in biological systems. For electrically coupled cells, previous studies of pattern formation have mainly used applied current as the primary bifurcation parameter. The purpose of this paper is to show that applied current is not needed to generate spatiotemporal patterns for smooth muscle cells. The patterns can be generated solely by external mechanical stimulation (transmural pressure). To do this we study a reaction-diffusion system involving 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 that the spatially extended model exhibits spatiotemporal chaos. We also use travelling wave coordinates to analyse travelling waves.

Indexed as

Models, BiologicalPacemaker, ArtificialDiffusionMathematical ConceptsMyocytes, Smooth MuscleBifurcation analysisMorris–LecarNon-Turing patternsPacemaker dynamicsPattern formationSmooth muscle cellsSpatiotemporal chaosTravelling waves

Identifiers

PMID35804271

DOI10.1007/s11538-022-01043-1

PMCPMC9270316

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.