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Numerical Bifurcation Analysis of Pacemaker Dynamics in a Model of Smooth Muscle Cells
- Publication Year :
- 2020
-
Abstract
- Evidence from experimental studies shows that oscillations due to electro-mechanical coupling can be generated spontaneously in smooth muscle cells. Such cellular dynamics are known as \textit{pacemaker dynamics}. In this article we address pacemaker dynamics associated with the interaction of $\text{Ca}^{2+}$ and $\text{K}^+$ fluxes in the cell membrane of a smooth muscle cell. First we reduce a pacemaker model to a two-dimensional system equivalent to the reduced Morris-Lecar model and then perform a detailed numerical bifurcation analysis of the reduced model. Existing bifurcation analyses of the Morris-Lecar model concentrate on external applied current whereas we focus on parameters that model the response of the cell to changes in transmural pressure. We reveal a transition between Type I and Type II excitabilities with no external current required. We also compute a two-parameter bifurcation diagram and show how the transition is explained by the bifurcation structure.<br />29 pages, 34 figures
- Subjects :
- 0301 basic medicine
Current (mathematics)
Potassium Channels
General Mathematics
Immunology
Myocytes, Smooth Muscle
FOS: Physical sciences
Dynamical Systems (math.DS)
Type (model theory)
Bifurcation diagram
Models, Biological
General Biochemistry, Genetics and Molecular Biology
Membrane Potentials
Quantitative Biology::Cell Behavior
03 medical and health sciences
0302 clinical medicine
Smooth muscle
FOS: Mathematics
Animals
Computer Simulation
Mathematics - Dynamical Systems
Bifurcation
General Environmental Science
Pharmacology
Physics
Ion Transport
Quantitative Biology::Neurons and Cognition
General Neuroscience
Mathematical analysis
Dynamics (mechanics)
Cell Membrane
Mathematical Concepts
Coupling (probability)
Nonlinear Sciences - Adaptation and Self-Organizing Systems
37N25, 74H60, 37M20, 37C75, 92C30
Biomechanical Phenomena
Electrophysiological Phenomena
030104 developmental biology
Bifurcation analysis
Computational Theory and Mathematics
Nonlinear Dynamics
030220 oncology & carcinogenesis
Calcium Channels
General Agricultural and Biological Sciences
Adaptation and Self-Organizing Systems (nlin.AO)
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....6a1f9f19166d4d9b74f1675b2160726e