Concentration Waves in Aggregation Fields of a Cellular Slime Mold

H. G. Othmer and P. B. Monk
Additional contact information
H. G. Othmer: University of Utah, Dept. of Mathematics
P. B. Monk: University of Delaware, Dept. of Mathematics

A chapter in Biomathematics and Related Computational Problems, 1988, pp 381-398 from Springer

Abstract: Abstract A model developed previously for signal relay and adaptation in the cellular slime mold Dictyostelium discoideum is applied in the context of wave propagation during aggregation. The ability of the sensory system in D. discoideum to adapt to constant background stimulus levels underlies wave propagation, and a brief general analysis of adaptation is given first. We then present the model for D. discoideum and show how the requirement of adaptation places constraints on the parameters in the model. Even with these constraints the model exhibits excitability or periodic oscillations for ranges of the parameters. Lastly we discuss some numerical results on wave propagation. It is found that the computed amplitude and speed of the axisymmetric cyclic AMP waves (or target patterns) that exist in the model agree well with the experimentally-observed values.

Keywords: Adenylate Cyclase; Steady State Response; Spiral Wave; Dictyostelium Discoideum; Perfusion Experiment (search for similar items in EconPapers)
Date: 1988
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:978-94-009-2975-3_34

Ordering information: This item can be ordered from
http://www.springer.com/9789400929753

DOI: 10.1007/978-94-009-2975-3_34

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 ().