Pattern formation in a spatially extended model of pacemaker dynamics in smooth muscle cells
DOI10.1007/S11538-022-01043-1zbMath1497.92022arXiv2111.00168OpenAlexW3208589169WikidataQ113900027 ScholiaQ113900027MaRDI QIDQ2154539
R. G. Brown, David J. W. Simpson, H. O. Fatoyinbo, Bruce van Brunt
Publication date: 19 July 2022
Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.00168
travelling wavespattern formationbifurcation analysissmooth muscle cellsspatiotemporal chaospacemaker dynamicsMorris-Lecarnon-Turing patterns
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15) Cell biology (92C37)
Uses Software
Cites Work
- Emergent properties of electrically coupled smooth muscle cells
- Turing instabilities and spatio-temporal chaos in ratio-dependent Holling-Tanner model
- Traveling pulse solutions to Fitzhugh-Nagumo equations
- Instability of Turing patterns in reaction-diffusion-ODE systems
- Numerical bifurcation analysis of pacemaker dynamics in a model of smooth muscle cells
- Mathematical physiology. II: Systems physiology
- On the origin and dynamics of the vasomotion of small arteries
- Pattern formation and dynamics in Rayleigh-Bénard convection: numerical simulations of experimentally realistic geometries
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- Wave propagation and suppression in excitable media with holes and external forcing
- Multi-mode attractors and spatio-temporal canards
- Stripes, spots, or reversed spots in two-dimensional Turing systems
- The influence of receptor-mediated interactions on reaction-diffusion mechanisms of cellular self-organisation
- Simulating, Analyzing, and Animating Dynamical Systems
- Spatial, temporal and spatiotemporal patterns of diffusive predator–prey models with mutual interference
- A Compendium of Partial Differential Equation Models
- The propagation of travelling waves in an open cubic autocatalytic chemical system
- Dynamics of a modified excitable neuron model: Diffusive instabilities and traveling wave solutions
- On the Existence and Stability of Fast Traveling Waves in a Doubly Diffusive FitzHugh--Nagumo System
- Transient spatiotemporal chaos in the Morris-Lecar neuronal ring network
- Turing patterns in a reaction–diffusion epidemic model
- The chemical basis of morphogenesis
- Spatio-Temporal Pattern Formation in Holling–Tanner Type Model with Nonlocal Consumption of Resources
- Delayed loss of stability due to the slow passage through Hopf bifurcations in reaction–diffusion equations
- Reflected Waves in an Inhomogeneous Excitable Medium
- Cross-diffusion-induced patterns in an SIR epidemic model on complex networks
- A mathematical model of pacemaker activity recorded from mouse small intestine
- Spike patterns in a reaction–diffusion ODE model with Turing instability
- Generalized travelling waves for perturbed monotone reaction-diffusion systems
- Elements of applied bifurcation theory
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