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

@article{Fatoyinbo2022PatternFI,
  title={Pattern Formation in a Spatially Extended Model of Pacemaker Dynamics in Smooth Muscle Cells},
  author={Hammed Olawale Fatoyinbo and R. G. Brown and David J. W. Simpson and B. VAN BRUNT},
  journal={Bulletin of Mathematical Biology},
  year={2022},
  volume={84}
}
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… 
PATTERN FORMATION IN ELECTRICALLY COUPLED PACEMAKER CELLS
TLDR
The main goal is to analyse a reaction-diffusion system that models the dynamical behaviour where adjacent cells are coupled through passive electrical coupling and it is shown that the system is capable of exhibiting a wide variety of spatiotemporal behaviours such as travelling pulses, travelling fronts and spatiotsemporal chaos.

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