CHEMOTACTIC REACTION ENHANCEMENT IN ONE DIMENSION

dc.contributor.author

Gong, Y

dc.contributor.author

Kiselev, A

dc.date.accessioned

2024-12-13T20:18:37Z

dc.date.available

2024-12-13T20:18:37Z

dc.date.issued

2024-01-01

dc.description.abstract

Chemotaxis, which involves the directed movement of cells in response to a chemical gradient, plays a crucial role in a broad variety of biological processes. Examples include bacterial motion, the development of single-cell or multicellular organisms, and immune responses. Chemotaxis directs bacteria’s movement to find food (e.g., glucose) by swimming toward the highest concentration of food molecules. In multicellular organisms, chemotaxis is critical to early development (e.g., movement of sperm towards the egg during fertilization). Chemotaxis also helps mobilize phagocytic and immune cells at sites of infection, tissue injury, and thus facilitates immune reactions. In this paper, we study a PDE system that describes chemotactic processes in one dimension, which may correspond to a thin channel, the setting relevant in many applications: for example, spermatozoa progression to the ovum inside a Fallopian tube or immune response in a blood vessel. Our objective is to obtain qualitatively precise estimates on how chemotaxis improves reaction efficiency, when compared to purely diffusive situation. The techniques we use to achieve this goal include a variety of comparison principles and analysis of mass transport for a class of Fokker-Planck operators.

dc.identifier.issn

1539-6746

dc.identifier.issn

1945-0796

dc.identifier.uri

https://hdl.handle.net/10161/31791

dc.language

en

dc.publisher

International Press of Boston

dc.relation.ispartof

Communications in Mathematical Sciences

dc.relation.isversionof

10.4310/CMS.2024.V22.N5.A5

dc.rights.uri

https://creativecommons.org/licenses/by-nc/4.0

dc.subject

Chemotaxis Modeling

dc.subject

Keller-Segel Equation

dc.subject

Reaction-Diffusion Systems

dc.subject

Reaction Enhancement

dc.title

CHEMOTACTIC REACTION ENHANCEMENT IN ONE DIMENSION

dc.type

Journal article

duke.contributor.orcid

Kiselev, A|0000-0002-3096-6522

pubs.begin-page

1287

pubs.end-page

1305

pubs.issue

5

pubs.organisational-group

Duke

pubs.organisational-group

Trinity College of Arts & Sciences

pubs.organisational-group

Mathematics

pubs.publication-status

Published

pubs.volume

22

Files

Original bundle

Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
chemo1d318.pdf
Size:
352.8 KB
Format:
Adobe Portable Document Format