title: Sheet excitability and nonlinear wave propagation.
abstract: 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.
authors.affiliation: Departamento de Física, FCEN-UBA, Ciudad Universitaria, Pabellón I, (1428) Buenos Aires, Argentina.
authors.forename: Bernardo
authors.initials: B
authors.lastname: Pando
authors.forename: John E
authors.initials: JE
authors.lastname: Pearson
authors.forename: Silvina Ponce
authors.initials: SP
authors.lastname: Dawson
mesh_terms: D000818:Animals; D015220:Calcium Channels / Q000502:physiology*; D020013:Calcium Signaling / Q000502:physiology*; D008954:Models, Biological; D014982:Xenopus laevis
chemical_list: D015220:Calcium Channels