Herrero, M. A.; Sastre, L. Models of aggregation in Dictyostelium discoideum: on the track of spiral waves. (English) Zbl 1108.92014 Netw. Heterog. Media 1, No. 2, 241-258 (2006). Summary: This work is concerned with some aspects of the social life of the amoebae Dictyostelium discoideum (Dd). In particular, we 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 recall some of the basic features of this process, paying attention to the mathematical models that have been derived to account for experimental observations. Cited in 2 Documents MSC: 92C37 Cell biology 92C15 Developmental biology, pattern formation Keywords:ordinary differential equations; partial differential equations; target waves; effective equations; pattern formation PDFBibTeX XMLCite \textit{M. A. Herrero} and \textit{L. Sastre}, Netw. Heterog. Media 1, No. 2, 241--258 (2006; Zbl 1108.92014) Full Text: DOI