Group Dynamics of Phototaxis: Interacting Stochastic Many-Particle Systems and Their Continuum Limit

D. Bhaya (), D. Levy () and T. Requeijo ()
Additional contact information
D. Bhaya: Stanford University, Department of Plant Biology Carnegie Institution of Washington
D. Levy: Stanford University, Department of Mathematics
T. Requeijo: Stanford University, Department of Mathematics

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2008, pp 145-159 from Springer

Abstract: In this chapter, we introduce new models for describing the motion of phototaxis, i.e., bacteria that move toward light. Following experimental observations, the first model describes the locations of bacteria, an internal property of the bacteria that is related to the group dynamics, and the interaction between the bacteria and the medium in which it resides. The second model is a new multiparticle system following the same quantities as in the first model. The main theorem shows how to obtain a new system of PDEs, which we refer to as the phototaxis system as the limit dynamics of the multiparticle system. Numerical simulations are provided.

Keywords: Group Dynamics; Limit Dynamic; External Substance; Excitation Particle; Multiparticle System (search for similar items in EconPapers)
Date: 2008
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-75712-2_12

Ordering information: This item can be ordered from
http://www.springer.com/9783540757122

DOI: 10.1007/978-3-540-75712-2_12

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().