Initiation of slime mold aggregation viewed as an instability

doi:10.1016/0022-5193(70)90092-5

Journal of Theoretical Biology

Volume 26, Issue 3, March 1970, Pages 399-415

https://doi.org/10.1016/0022-5193(70)90092-5 Get rights and content

Abstract

The chemotactic interaction of amoebae, as mediated by acrasin, is evidenced in a variety of ways, the most dramatic of which is aggregation. In this paper we present a mathematical formulation of the general interaction, and provide a detailed analysis of the aggregation process. By analogy with many problems in the physical world, aggregation is viewed as a breakdown of stability caused by intrinsic changes in the basic parameters which characterize the system. This point of view provides a description of aggregation which does not require that any cells be distinguished, but rather assumes a homogeneous population.

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^☆: This work was supported in part by NCI Grant CA 08748 and by a leave of absence grant to Segel by Rensselaer Polytechnic Institute.

^†: On leave during 1968–1969 academic year from Department of Mathematics, Rensselaer Polytechnic Institute.

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Initiation of slime mold aggregation viewed as an instability☆

Abstract

Math. Biosciences

Develop. Biol

Adv. Morphogenesis

The Cellular Slime Molds

Biol. Bull

J. Embryol. exp. Morphol

Develop. Biol

Hydrodynamic and Hydromagnetic Stability