Numerical bifurcation analysis of pacemaker dynamics in a model of smooth muscle cells
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Publication:786058
DOI10.1007/s11538-020-00771-6zbMath1448.92033arXiv2004.00343OpenAlexW3101643027WikidataQ97533992 ScholiaQ97533992MaRDI QIDQ786058
H. O. Fatoyinbo, R. G. Brown, David J. W. Simpson, Bruce van Brunt
Publication date: 12 August 2020
Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.00343
smooth muscle cellselectro-mechanical couplingMorris-lecarpacemaker dynamicssaddle-node on an invariant circle bifurcationtype I and II excitability
Bifurcation theory for ordinary differential equations (34C23) Medical applications (general) (92C50) Biophysics (92C05)
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Cites Work
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- Codimension-two bifurcation analysis on firing activities in Chay neuron model
- Versal deformation of a singular point of a vector field on the plane in the case of zero eigenvalues
- On the origin and dynamics of the vasomotion of small arteries
- Singularities of vector fields
- Pacemaker dynamics in the full Morris-Lecar model
- Patterns of Synchrony in Neural Networks with Spike Adaptation
- Nonlinear dynamics of the membrane potential of a bursting pacemaker cell
- Simulating, Analyzing, and Animating Dynamical Systems
- Dynamics of a modified excitable neuron model: Diffusive instabilities and traveling wave solutions
- Negative Feedback Mediated by Fast Inhibitory Autapse Enhances Neuronal Oscillations Near a Hopf Bifurcation Point
- Elements of applied bifurcation theory