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2006, Volume 1, Issue 2: 241-258. Doi: 10.3934/nhm.2006.1.241
This issue Previous Article Next Article On the scaling from statistical to representative volume element in thermoelasticity of random materials

Models of aggregation in dictyostelium discoideum: On the track of spiral waves

  • 1.

    Departamento de Matemática Aplicada, Facultad de Matemáticas, Universidad Complutense, Plaza de las Ciencias, 28040 Madrid

  • 2.

    Instituto de Investigaciones Biomédicas, CSIC/Universidad Autónoma de Madrid, Arturo Duperier 4, 28029 Madrid

Received:  December 31, 2005
Revised:  January 31, 2006
Published:  May 2006
Abstract Related Papers Cited by
    Abstract
  • This work is concerned with some aspects of the social life of the amoebae Dictyostelium discoideum (Dd). In particular, we shall focus on the early stages of the starvation-induced aggregation of Dd cells. Under such circumstances, amoebae are known to exchange a chemical messenger (cAMP) which acts as a signal to mediate their individual behaviour. This molecule is released from aggregation centres and advances through aggregation fields, first as circular waves and later on as spiral patterns. We shall recall below some of the basic features of this process, paying attention to the mathematical models that have been derived to account for experimental observations.
    Mathematics Subject Classification: Primary: 34K11, 35B27 ; Secondary: 74Q15, 47N60.

    Citation:
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