Mathematical modeling of chemotaxis and glial scarring around implanted electrodes

DOI10.1088/1367-2630/17/2/023009zbMath1452.92013OpenAlexW2006278839WikidataQ60302633 ScholiaQ60302633MaRDI QIDQ3387624

Alexander N. Silchenko, Peter Alexander Tass

Publication date: 13 January 2021

Published in: New Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1367-2630/17/2/023009

zbMATH Keywords

modelinganti-inflammatory coatingmicroglia chemotaxispurinergic feedback

Mathematics Subject Classification ID

Neural biology (92C20) Cell movement (chemotaxis, etc.) (92C17)

Related Items (3)

Modeling multiple taxis: tumor invasion with phenotypic heterogeneity, haptotaxis, and unilateral interspecies repellence ⋮ A model of space-fractional-order diffusion in the glial scar ⋮ Mathematical models for chemotaxis and their applications in self-organisation phenomena

Cites Work

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• High order explicit methods for parabolic equations
• P2X\(_7\) regenerative-loop potentiation of glutamate synaptic transmission by microglia and astrocytes
• Pattern Formation in a Model of Acute Inflammation
• Stationary Solutions of Chemotaxis Systems
• Aggregation, Blowup, and Collapse: The ABC's of Taxis in Reinforced Random Walks
• Global existence for a parabolic chemotaxis model with prevention of overcrowding

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