Skip to content

Opening book details…

Can I read On a Mathematical Model Describing the Aggregation of Amoebae on EtoBox?

On a Mathematical Model Describing the Aggregation of Amoebae by René P. Sperb is a Biochemistry, Genetics and Molecular Biology article available to read on EtoBox.

What is On a Mathematical Model Describing the Aggregation of Amoebae about?

In this paper an extension of a mathematical model of Keller and Segel (1970) describing the aggregation of amoebae is presented. In their paper (Keller and Segel, 1970) they showed that the onset of the aggregation could be viewed as a spatial instability\_ Their instability condition involved diffusion constants of the cyclic AMP and of the amoebae as well as a constant describing the chemotactic behavior of the amoebae. In our case we consider a temporal instability that depends only on the kinetics of cychc AMP production, degradation and transport through the cell wall\_ Our model then explains the oscillatory behavior of the cyclic AMP in well-stirred suspensions of amoebae. In addition we discuss existence and non-existence of nonuniform steady states of the nonlinear parabolic system involved.

Who reads On a Mathematical Model Describing the Aggregation of Amoebae?

It is typically read by researchers, students, and practitioners in Biochemistry, Genetics and Molecular Biology.

Author
René P. Sperb
Publisher
Springer; Springer-Verlag; Springer New York LLC; Mathematical Biology, Inc; Springer Science and Business Media LLC; Society for Mining, Metallurgy and Exploration Inc. (ISSN 1522-9602)
Published
1979
Language
EN
Field
Biochemistry, Genetics and Molecular Biology (Life Sciences)

More by René P. Sperb

Browse all works by René P. Sperb