title: Topological constraint on scroll wave pinning.
abstract: Scroll waves in an excitable medium rotate about tubelike filaments, whose ends, when they exist, can lie on the external boundary of the medium or be pinned to an inclusion. We derive a topological rule that governs such pinning. It implies that some configurations cannot occur although they might otherwise have been expected. Heart tissue provides an application of these concepts. Computational illustrations based on a FitzHugh-Nagumo model are given.
authors.affiliation: Department of Pharmacology, SUNY Health Science Center, Syracuse, New York 13210, USA.
authors.forename: A M
authors.initials: AM
authors.lastname: Pertsov
authors.forename: M
authors.initials: M
authors.lastname: Wellner
authors.forename: M
authors.initials: M
authors.lastname: Vinson
authors.forename: J
authors.initials: J
authors.lastname: Jalife
mesh_terms: D007700:Kinetics; D008955:Models, Cardiovascular; D008962:Models, Theoretical; D055585:Physical Phenomena; D010825:Physics