Motion of a Spot in a Reaction Diffusion System under the Influence of Chemotaxis
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-24, 24 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-05-21
Country of Publication
Egypt
No. of Pages
24
Main Subjects
Abstract EN
We consider the motion of a spot under the influence of chemotaxis.
We propose a two-component reaction diffusion system with a global coupling term and a Keller-Segel type chemotaxis term.
For the system, we derive the equation of motion of the spot and the time evolution equation of the tensors.
We show the existence of an upper limit for the velocity and a critical intensity for the chemotaxis, over which there is no circular motion.
The chemotaxis suppresses the range of velocity for the circular motion.
This braking effect on velocity originates from the refractory period behind the rear interface of the spot and the negative chemotactic velocity.
The physical interpretation of the results and its plausibility are discussed.
American Psychological Association (APA)
Kawaguchi, Satoshi. 2018. Motion of a Spot in a Reaction Diffusion System under the Influence of Chemotaxis. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-24.
https://search.emarefa.net/detail/BIM-1119206
Modern Language Association (MLA)
Kawaguchi, Satoshi. Motion of a Spot in a Reaction Diffusion System under the Influence of Chemotaxis. Advances in Mathematical Physics No. 2018 (2018), pp.1-24.
https://search.emarefa.net/detail/BIM-1119206
American Medical Association (AMA)
Kawaguchi, Satoshi. Motion of a Spot in a Reaction Diffusion System under the Influence of Chemotaxis. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-24.
https://search.emarefa.net/detail/BIM-1119206
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119206