Aggregation of biological particles under radial directional guidance

DOI10.1016/j.jtbi.2017.05.039zbMath1382.92011OpenAlexW2567147711MaRDI QIDQ1704169

Kevin J. Painter, Ion Bica, Thomas Hillen

Publication date: 9 March 2018

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

Full work available at URL: https://doi.org/10.1101/096602

zbMATH Keywords

pattern formationdegenerate diffusionsingularity formationlarge time behaviouranisotropic diffusion

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) General biology and biomathematics (92B05) Cell movement (chemotaxis, etc.) (92C17)

Cites Work

• Unnamed Item
• Glioma follow white matter tracts: a multiscale DTI-based model
• Moments of von Mises and Fisher distributions and applications
• Models of dispersal in biological systems
• First passage time analysis of animal movement and insights into the functional response
• \(M^5\) mesoscopic and macroscopic models for mesenchymal motion
• Modelling cell migration strategies in the extracellular matrix
• Mathematical modelling of glioma growth: the use of diffusion tensor imaging (DTI) data to predict the anisotropic pathways of cancer invasion
• The Diffusion Limit of Transport Equations II: Chemotaxis Equations
• Transport and Anisotropic Diffusion Models for Movement in Oriented Habitats
• A Unified View of the Theory of Directional Statistics, 1975-1988
• The Diffusion Limit of Transport Equations Derived from Velocity-Jump Processes
• Anisotropic diffusion in oriented environments can lead to singularity formation