Traveling waves in the discrete fast buffered bistable system

Je-Chiang Tsai, James Sneyd

研究成果: 雜誌貢獻期刊論文同行評審

摘要

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.

原文英語
頁(從 - 到)605-652
頁數48
期刊Journal of Mathematical Biology
55
發行號5-6
DOIs
出版狀態已發佈 - 2007 十一月 1

ASJC Scopus subject areas

  • Modelling and Simulation
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics

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