Do the internal fluctuations blur or enhance axial segmentation?
Université Pierre et Marie Curie - Paris 06, Laboratoire de Physique Théorique de la Matière Condensée (LPTMC) - 4 place Jussieu, case courrier 121, 75252 Paris Cedex 05, France, EU
2 CNRS, LPTMC UMR 7600 - Paris, France, EU
3 Institute of Physical Chemistry, Polish Academy of Sciences - Kasprzaka 44/52, 01-224 Warsaw, Poland, EU
4 Warsaw University of Life Sciences (SGGW) - Nowoursynowska 159, 02-776 Warsaw, Poland, EU
Accepted: 8 April 2011
In order to reproduce axial segmentation in the presence of internal fluctuations, we build a reaction-diffusion model which is based on elementary, microscopic processes. The comparison between the deterministic and the stochastic approaches proves that internal noise accelerates the formation of the periodic pattern, sustains it in a larger region of the medium and extends the parameter domain where it is stable.
PACS: 82.40.Ck – Pattern formation in reactions with diffusion, flow and heat transfer / 87.17.Pq – Morphogenesis / 87.18.Tt – Noise in biological systems
© EPLA, 2011