Irregularity of Turing patterns in the Thomas model with a unilateral term

Rybář, Vojtěch, and Vejchodský, Tomáš. "Irregularity of Turing patterns in the Thomas model with a unilateral term." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2015. 188-193. <http://eudml.org/doc/269933>.

@inProceedings{Rybář2015,
abstract = {In this contribution we add a unilateral term to the Thomas model and investigate the resulting Turing patterns. We show that the unilateral term yields nonsymmetric and irregular patterns. This contrasts with the approximately symmetric and regular patterns of the classical Thomas model. In addition, the unilateral term yields Turing patterns even for smaller ratio of diffusion constants. These conclusions accord with the recent findings about the influence of the unilateral term in a model for mammalian coat patterns. This indicates that the observed effects of the unilateral term are general and apply to a variety of systems.},
author = {Rybář, Vojtěch, Vejchodský, Tomáš},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {reaction-diffusion system; Thomas model; Turing instability},
location = {Prague},
pages = {188-193},
publisher = {Institute of Mathematics AS CR},
title = {Irregularity of Turing patterns in the Thomas model with a unilateral term},
url = {http://eudml.org/doc/269933},
year = {2015},
}

TY - CLSWK
AU - Rybář, Vojtěch
AU - Vejchodský, Tomáš
TI - Irregularity of Turing patterns in the Thomas model with a unilateral term
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2015
CY - Prague
PB - Institute of Mathematics AS CR
SP - 188
EP - 193
AB - In this contribution we add a unilateral term to the Thomas model and investigate the resulting Turing patterns. We show that the unilateral term yields nonsymmetric and irregular patterns. This contrasts with the approximately symmetric and regular patterns of the classical Thomas model. In addition, the unilateral term yields Turing patterns even for smaller ratio of diffusion constants. These conclusions accord with the recent findings about the influence of the unilateral term in a model for mammalian coat patterns. This indicates that the observed effects of the unilateral term are general and apply to a variety of systems.
KW - reaction-diffusion system; Thomas model; Turing instability
UR - http://eudml.org/doc/269933
ER -