On the existence and monotonicity of pulsating traveling waves for reaction–diffusion–advection systems in high dimensional and periodic media

2022 ◽  
Vol 64 ◽  
pp. 103452
Author(s):  
Li-Jun Du ◽  
Xiongxiong Bao
Keyword(s):  
Traveling Waves ◽  
Reaction Diffusion ◽  
High Dimensional ◽  
Periodic Media

scholarly journals Plasticity of cell migration resulting from mechanochemical coupling

eLife ◽  
2019 ◽  
Vol 8 ◽  
Author(s):  
Yuansheng Cao ◽  
Elisabeth Ghabache ◽  
Wouter-Jan Rappel
Keyword(s):  
Traveling Waves ◽  
Cell Mechanics ◽  
Reaction Diffusion ◽  
Actin Network ◽  
Relaxation Oscillators ◽  
Reaction Diffusion Model ◽  
Mechanochemical Coupling ◽  
Model Predictions ◽  
Two Component ◽  
Signaling Events

Eukaryotic cells can migrate using different modes, ranging from amoeboid-like, during which actin filled protrusions come and go, to keratocyte-like, characterized by a stable morphology and persistent motion. How cells can switch between these modes is not well understood but waves of signaling events are thought to play an important role in these transitions. Here we present a simple two-component biochemical reaction-diffusion model based on relaxation oscillators and couple this to a model for the mechanics of cell deformations. Different migration modes, including amoeboid-like and keratocyte-like, naturally emerge through transitions determined by interactions between biochemical traveling waves, cell mechanics and morphology. The model predictions are explicitly verified by systematically reducing the protrusive force of the actin network in experiments using Dictyostelium discoideum cells. Our results indicate the importance of coupling signaling events to cell mechanics and morphology and may be applicable in a wide variety of cell motility systems.

Traveling Waves in a Reaction-Diffusion System Describing Smoldering Combustion

2017 ◽  
Vol 77 (2) ◽  
pp. 614-637 ◽  
Author(s):  
Ekeoma Rowland Ijioma ◽  
Hirofumi Izuhara ◽  
Masayasu Mimura
Keyword(s):  
Traveling Waves ◽  
Reaction Diffusion ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Smoldering Combustion
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