Excitable dynamics in a molecularly-explicit model of cell motility: mixed-mode oscillations and beyond

DOI10.1016/J.JTBI.2023.111450zbMath1518.92027MaRDI QIDQ6174184

Lucie Plazen, Anmar Khadra

Publication date: 14 July 2023

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

zbMATH Keywords

mathematical modelrelaxation oscillationsmixed-mode oscillationscellular Potts modelslow-fast analysiswave-pinningcellular polarityhysteresis and bistabilitymigration patternsrho family of GTPases

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Qualitative investigation and simulation of ordinary differential equation models (34C60) Cell movement (chemotaxis, etc.) (92C17)

Cites Work

• Polarization and movement of keratocytes: a multiscale modelling approach
• Topological and phenomenological classification of bursting oscillations
• Improving the realism of the cellular Potts model in simulations of biological cells
• Mixed-mode bursting oscillations: Dynamics created by a slow passage through spike-adding canard explosion in a square-wave burster
• Mixed-Mode Oscillations with Multiple Time Scales
• Asymptotic and Bifurcation Analysis of Wave-Pinning in a Reaction-Diffusion Model for Cell Polarization
• ELEMENTAL PERIODIC ORBITS ASSOCIATED WITH THE LIBRATION POINTS IN THE CIRCULAR RESTRICTED 3-BODY PROBLEM
• The Slow Passage through a Hopf Bifurcation: Delay, Memory Effects, and Resonance
• NEURAL EXCITABILITY, SPIKING AND BURSTING
• Canards in \(\mathbb{R}^3\)

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