Principles and mathematical modeling of biological pattern formation

• Autorzy: Deutsch A. , Dormann S.
• Języki publikacji: EN

Abstrakty

EN

An overview of principles and mathematical models of biological pattern formation is presented. One can distinguish preformation, optimization, topological and self-organization principles. Combinations of such principles are responsible for shape and tissue formation, differentia-tion, regeneration, morphogenetic motion, celi division and even malignant patterns, e.g. in tumor growth. Mathematical modeling allows for a system-atic analysis of the pattern-formation potential of morphogenetic principles. Biological patterns are the result of complex interactions between a smaller or larger number of components, particularly molecules and cells. Depend-ing on the modeling perspective microscopic (from the individual compo-nent level) and macroscopic models (from the population perspective) are distinguished. The specific question directs the choice of the appropriate perspective. A selection of microscopic and macroscopic model types is in-troduced.

Słowa kluczowe

EN

mathematical model; morphogenesis; biological patterns

PL

modelowanie matematyczne; biologia

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Matematyka Stosowana : matematyka dla społeczeństwa
• Rocznik: 2002
• Tom: Nr 3
• Strony: 16--38
• Opis fizyczny: Bibliogr. 80 poz., rys., tab.

Twórcy

autor

Deutsch A.

• Center for High Performance Computing (ZHR), Dresden University of Technology, D-01062 Dresden, Germany

autor

Dormann S.

• Inst. of Environmental, Systems Research, University of Osnabrück, D-49069 Osnabrück, Germany

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