Dynamics of Localized Unimodal Patterns in Reaction-Diffusion Systems for Cell Polarization by Extracellular Signaling

DOI10.1137/18M1163749zbMath1401.35182OpenAlexW2903138331MaRDI QIDQ4560161

Masataka Kuwamura, Shin-ichiro Ei, Sungrim Seirin Lee

Publication date: 5 December 2018

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/18m1163749

zbMATH Keywords

reaction-diffusion systemcell polarityextracellular signalinglocalized unimodal pattern

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) General biology and biomathematics (92B05)

Related Items (7)

The role of cytoplasmic MEX-5/6 polarity in asymmetric cell division ⋮ Transitions to slow or fast diffusions provide a general property for in-phase or anti-phase polarity in a cell ⋮ Cell repolarization: a bifurcation study of spatio-temporal perturbations of polar cells ⋮ Existence of spiky stationary solutions to a mass-conserved reaction-diffusion model ⋮ Long time behavior and stable patterns in high-dimensional polarity models of asymmetric cell division ⋮ Spike solutions for a mass conservation reaction-diffusion system ⋮ Oscillations and bifurcation structure of reaction-diffusion model for cell polarity formation

Cites Work

• Unnamed Item
• Unnamed Item
• Positioning of polarity formation by extracellular signaling during asymmetric cell division
• Self-organization and advective transport in the cell polarity formation for asymmetric cell division
• Geometric theory of semilinear parabolic equations
• Asymptotic behavior of equilibrium states of reaction-diffusion systems with mass conservation
• Perturbation theory for linear operators.
• Lyapunov function and spectrum comparison for a reaction-diffusion system with mass conservation
• Asymptotic and Bifurcation Analysis of Wave-Pinning in a Reaction-Diffusion Model for Cell Polarization
• Stability and bifurcation of nonconstant solutions to a reaction–diffusion system with conservation of mass
• A Practical Guide to Pseudospectral Methods
• The motion of weakly interacting pulses in reaction-diffusion systems

This page was built for publication: Dynamics of Localized Unimodal Patterns in Reaction-Diffusion Systems for Cell Polarization by Extracellular Signaling