Details

Autor(en) / Beteiligte

• Dziekan, P.
• Signon, L.
• Nowakowski, B.
• Lemarchand, A.

Titel

Effect of a Local Source or Sink of Inhibitor on Turing Patterns

Ist Teil von

• Communications in theoretical physics, 2014-10, Vol.62 (4), p.622-630

Erscheinungsjahr

2014

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We investigate a reaction-diffusion model in which a Turing pattern develops and reproduces the formation of periodic segments behind a propagating chemical wave front. The chemical scheme involves two species known as activator and inhibitor. The model can be used to mimic the formation of prevertebrae during the early development of vertebrate embryo. Deterministic and stochastic analyses of the reaction-diffusion processes are performed for two typical sets of parameter values, far from and close to the Turing bifurcation. The effects of a local source or sink of inhibitor on the growing structure are studied and successfully compared with experiments performed on chick embryos. We show that fluctuations may lead to the formation of additional prevertebra.