Mass-Selection in Alignment Models with Non-Deterministic Effects

DOI10.1080/03605300902797171zbMath1169.82022OpenAlexW1996332494MaRDI QIDQ5321927

Angela Stevens, Juan J. L. Velazquez, Ivano Primi

Publication date: 16 July 2009

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300902797171

zbMATH Keywords

alignmentintegro-differential equationmass selection

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Integro-partial differential equations (45K05) Statistical mechanics of polymers (82D60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) General biology and biomathematics (92B05) Cell movement (chemotaxis, etc.) (92C17)

Related Items (8)

Global minimisers for anisotropic attractive–repulsive interactions ⋮ Sorting Phenomena in a Mathematical Model For Two Mutually Attracting/Repelling Species ⋮ Stability of stationary states of non-local equations with singular interaction potentials ⋮ Nonlocal interactions by repulsive-attractive potentials: radial ins/stability ⋮ Confinement for repulsive-attractive kernels ⋮ Global phase diagrams of run-and-tumble dynamics: equidistribution, waves, and blowup ⋮ Bistable stochastic biochemical networks: highly specific systems with few chemicals ⋮ ON A MACROSCOPIC LIMIT OF A KINETIC MODEL OF ALIGNMENT

Cites Work

• Unnamed Item
• Unnamed Item
• An integro-differential equation model for alignment and orientational aggregation
• Bifurcation analysis of an orientational aggregation model
• Selecting a common direction. I: How orientational order can arise from simple contact responses between interacting cells

This page was built for publication: Mass-Selection in Alignment Models with Non-Deterministic Effects