Geodesic
Principles and mathematical modeling of biological pattern formation
Mathematica Applicanda, Tome 30 (2002) no. 44/03, pp. 16-38.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

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, differentiation, regeneration, morphogenetic motion, cell division and even malignant patterns, e.g. in tumor growth. Mathematical modeling allows for a systematic 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. Depending on the modeling perspective microscopic (from the individual component 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 introduced.
DOI : 10.14708/ma.v30i44/03.1899
Classification : 92C15
Mots-clés : Developmental biology, pattern formation 
@article{10_14708_ma_v30i44_03_1899,
     author = {A. Deutsch and S. Dormann},
     title = {Principles and mathematical modeling of biological pattern formation},
     journal = {Mathematica Applicanda},
     pages = { 16--38},
     publisher = {mathdoc},
     volume = {30},
     number = {44/03},
     year = {2002},
     doi = {10.14708/ma.v30i44/03.1899},
     language = {pl},
     url = {http://geodesic.mathdoc.fr/articles/10.14708/ma.v30i44/03.1899/}
}
TY  - JOUR
AU  - A. Deutsch
AU  - S. Dormann
TI  - Principles and mathematical modeling of biological pattern formation
JO  - Mathematica Applicanda
PY  - 2002
SP  -  16
EP  - 38
VL  - 30
IS  - 44/03
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14708/ma.v30i44/03.1899/
DO  - 10.14708/ma.v30i44/03.1899
LA  - pl
ID  - 10_14708_ma_v30i44_03_1899
ER  - 
%0 Journal Article
%A A. Deutsch
%A S. Dormann
%T Principles and mathematical modeling of biological pattern formation
%J Mathematica Applicanda
%D 2002
%P  16-38
%V 30
%N 44/03
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14708/ma.v30i44/03.1899/
%R 10.14708/ma.v30i44/03.1899
%G pl
%F 10_14708_ma_v30i44_03_1899
A. Deutsch; S. Dormann. Principles and mathematical modeling of biological pattern formation. Mathematica Applicanda, Tome 30 (2002) no. 44/03, pp.  16-38. doi : 10.14708/ma.v30i44/03.1899. http://geodesic.mathdoc.fr/articles/10.14708/ma.v30i44/03.1899/

Cité par Sources :