title: Traveling waves in the discrete fast buffered bistable system.
abstract: We study the existence and uniqueness of traveling wave solutions of the discrete buffered bistable equation. Buffered excitable systems are used to model, among other things, the propagation of waves of increased calcium concentration, and discrete models are often used to describe the propagation of such waves across multiple cells. We derive necessary conditions for the existence of waves, and, under some restrictive technical assumptions, we derive sufficient conditions. When the wave exists it is unique and stable.
authors.affiliation: Department of Mathematics, National Chung Cheng University, 168, University Road, Min-Hsiung, Chia-Yi 621, Taiwan. tsaijc@math.ccu.edu.tw
authors.forename: Je-Chiang
authors.initials: JC
authors.lastname: Tsai
authors.forename: James
authors.initials: J
authors.lastname: Sneyd
mesh_terms: D002021:Buffers; D020013:Calcium Signaling / Q000502:physiology*; D008433:Mathematics; D008954:Models, Biological
chemical_list: D002021:Buffers