Sheet excitability and nonlinear wave propagation

BERNARDO PANDO; JOHN E. PEARSON; SILVINA PONCE DAWSON

PHYSICAL REVIEW LETTERS

Año: 2003 vol. 91 p. 2581011 - 2581014

0031-9007

In the Xenopus laevis oocyte, calcium ion channels are clustered in a thin shell. Motivated by this morphology, we study a general class of reaction-diffusion systems that include most of the well-known models that support wave propagation but restricting excitability to a ‘‘sheet’’ of codimension 1.We find waves that undergo propagation failure with increasing diffusion coefficient and a scaling regime in which the wave speed is independent of it.