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Networks and Heterogeneous Media

2006, Volume 1, Issue 2: 241-258. doi: 10.3934/nhm.2006.1.241
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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: 01 January 2006 Revised: 01 February 2006

  • Primary: 34K11, 35B27 ; Secondary: 74Q15, 47N60.

  • 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.

    Citation: Miguel A. Herrero, Leandro Sastre. Models of aggregation in dictyostelium discoideum: On the track of spiral waves[J]. Networks and Heterogeneous Media, 2006, 1(2): 241-258. doi: 10.3934/nhm.2006.1.241

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  • 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.


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    3. Raimund Bürger, Ricardo Ruiz-Baier, Kai Schneider, Adaptive Multiresolution Methods for the Simulation of Waves in Excitable Media, 2010, 43, 0885-7474, 261, 10.1007/s10915-010-9356-3
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  • © 2006 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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