doi: 10.1016/j.crvi.2003.05.006.
Using mathematical models to help understand biological pattern formation
Affiliations
- PMID: 15127893
- DOI: 10.1016/j.crvi.2003.05.006
Item in Clipboard
Using mathematical models to help understand biological pattern formation
C R Biol.
2004 Mar.
Free article
Abstract
One of the characteristics of biological systems is their ability to produce and sustain spatial and spatio-temporal pattern. Elucidating the underlying mechanisms responsible for this phenomenon has been the goal of much experimental and theoretical research. This paper illustrates this area of research by presenting some of the mathematical models that have been proposed to account for pattern formation in biology and considering their implications.
Similar articles
-
Models for pattern formation in somitogenesis: a marriage of cellular and molecular biology.C R Biol. 2002 Mar;325(3):179-89. doi: 10.1016/s1631-0691(01)01418-4. C R Biol. 2002. PMID: 12017765 Review.
-
Bones, feathers, teeth and coat markings: a unified model.Sci Prog. 1997;80 ( Pt 3):217-29. Sci Prog. 1997. PMID: 9354762 Review.
-
An in vitro-in silico interface platform for spatiotemporal analysis of pattern formation in collective epithelial cells.Integr Biol (Camb). 2016 Aug 8;8(8):861-8. doi: 10.1039/c6ib00073h. Epub 2016 Jul 25. Integr Biol (Camb). 2016. PMID: 27452205
-
Mathematical model for spatial segregation of the Rho-family GTPases based on inhibitory crosstalk.Bull Math Biol. 2007 Aug;69(6):1943-78. doi: 10.1007/s11538-007-9200-6. Epub 2007 Apr 25. Bull Math Biol. 2007. PMID: 17457653
-
Applications of a model for scale-invariant pattern formation in developing systems.Differentiation. 1984;28(1):1-8. doi: 10.1111/j.1432-0436.1984.tb00259.x. Differentiation. 1984. PMID: 6519366
Cited by
-
Collective Space-Sensing Coordinates Pattern Scaling in Engineered Bacteria.Cell. 2016 Apr 21;165(3):620-30. doi: 10.1016/j.cell.2016.03.006. Cell. 2016. PMID: 27104979 Free PMC article.
-
An ensemble approach to the evolution of complex systems.J Biosci. 2014 Apr;39(2):259-80. doi: 10.1007/s12038-013-9394-8. J Biosci. 2014. PMID: 24736159 Review.
-
Capturing and analyzing pattern diversity: an example using the melanistic spotted patterns of leopard geckos.PeerJ. 2021 Sep 10;9:e11829. doi: 10.7717/peerj.11829. eCollection 2021. PeerJ. 2021. PMID: 34595062 Free PMC article.
-
Computational models for mechanics of morphogenesis.Birth Defects Res C Embryo Today. 2012 Jun;96(2):132-52. doi: 10.1002/bdrc.21013. Birth Defects Res C Embryo Today. 2012. PMID: 22692887 Free PMC article. Review.
-
Vignettes from the field of mathematical biology: the application of mathematics to biology and medicine.Interface Focus. 2012 Aug 6;2(4):397-406. doi: 10.1098/rsfs.2011.0102. Epub 2012 Feb 1. Interface Focus. 2012. PMID: 23919124 Free PMC article.
Publication types
MeSH terms
LinkOut - more resources
Full Text Sources
