A mathematical model for predicting the geographic spread of new infectious agents

✍ Scribed by Ira M. Longini Jr

• Publisher: Elsevier Science
• Year: 1989
• Tongue: English
• Weight: 183 KB
• Volume: 12
• Category: Article
• ISSN: 0895-7177
• DOI: 10.1016/0895-7177(89)90250-1

✦ Synopsis

Most mathematical models for embryological pattern formation depend on the phenomenon of local autocatalysis with lateral inhibition (LALI). While the underlying physical and chemical mechanisms hypothesized by the models may be quite different, they all predict very similar kinds of spatial patterns. Therefore, since the underlying mechanism cannot in general be deduced from the pattern itself, other criteria must be applied in evaluating the usefulness of pattern formation models. The author points out how LALI is implemented in neural, chemical, and mechanical models of development, and suggests some general properties of LALI models that may impose limitations on organ shapes in ontogeny and phylogeny.