Selecting a common direction. I: How orientational order can arise from simple contact responses between interacting cells
From MaRDI portal
Publication:1896599
DOI10.1007/BF00298646zbMath0829.92002MaRDI QIDQ1896599
Leah Edelstein-Keshet, Alexander Mogilner
Publication date: 17 January 1996
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
bifurcationlinear stability analysissteady state solutionsself-organizationstability propertiesangular distributionscell alignmentcontact-induced turning responsescrowdingsdistributions of orientationinteracting individualsnonhomogeneous patternsynergetics analysis
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15)
Related Items
Modelling the dynamics of F-actin in the cell, Spatio-angular order in populations of self-aligning objects: formation of oriented patches, Mass-Selection in Alignment Models with Non-Deterministic Effects, Modelling the compartmentalization of splicing factors, Mathematical modelling of cancer invasion: The multiple roles of TGF-β pathway on tumour proliferation and cell adhesion, Hyperbolic and kinetic models for self-organized biological aggregations and movement: a brief review, Dynamic formation of oriented patches in chondrocyte cell cultures, Non-local parabolic and hyperbolic models for cell polarisation in heterogeneous cancer cell populations, The effect of a non-uniform turning kernel on ant trail morphology, An integro-differential equation model for alignment and orientational aggregation, Mathematical modelling of anisotropy in fibrous connective tissue, COLLECTIVE BEHAVIOR OF BIOLOGICAL AGGREGATIONS IN TWO DIMENSIONS: A NONLOCAL KINETIC MODEL, Selecting a common direction. II: Peak-like solutions representing total alignment of cell clusters, ON A MACROSCOPIC LIMIT OF A KINETIC MODEL OF ALIGNMENT, A discrete Boltzmann-type model of swarming
Cites Work
- Models of dispersal in biological systems
- A mathematical theory of visual hallucination patterns
- Modelling the dynamics of F-actin in the cell
- Spatio-angular order in populations of self-aligning objects: formation of oriented patches
- Models for contact-mediated pattern formation: Cells that form parallel arrays
- Pattern Generation in Space and Aspect
- Viscous flow in smectic A liquid crystals
- Models for Branching Networks in Two Dimensions
- Pattern formation outside of equilibrium
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item