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• W3103293802 abstract "The long range movement of certain organisms in the presence of a chemoattractant can be governed by long distance runs, according to an approximate Lévy distribution. This article clarifies the form of biologically relevant model equations. We derive Patlak--Keller--Segel-like equations involving nonlocal, fractional Laplacians from a microscopic model for cell movement. Starting from a power-law distribution of run times, we derive a kinetic equation in which the collision term takes into account the long range behavior of the individuals. A fractional chemotactic equation is obtained in a biologically relevant regime. Apart from chemotaxis, our work has implications for biological diffusion in numerous processes." @default.
• W3103293802 created "2020-11-23" @default.
• W3103293802 creator A5058373489 @default.
• W3103293802 creator A5073374086 @default.
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• W3103293802 date "2018-01-01" @default.
• W3103293802 modified "2023-09-25" @default.
• W3103293802 title "Fractional Patlak--Keller--Segel Equations for Chemotactic Superdiffusion" @default.
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• W3103293802 doi "https://doi.org/10.1137/17m1142867" @default.
• W3103293802 hasPublicationYear "2018" @default.
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