Tsai Je-Chiang, Sneyd James
Department of Mathematics, National Chung Cheng University, 168, University Road, Min-Hsiung, Chia-Yi 621, Taiwan.
J Math Biol. 2007 Nov;55(5-6):605-52. doi: 10.1007/s00285-007-0097-3. Epub 2007 May 26.
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.
我们研究离散缓冲双稳方程行波解的存在性与唯一性。缓冲可激发系统除其他用途外，还用于对钙浓度增加的波的传播进行建模，而离散模型常被用于描述此类波在多个细胞间的传播。我们推导了波存在的必要条件，并且在一些严格的技术假设下，我们推导了充分条件。当波存在时，它是唯一且稳定的。
