首页 | 本学科首页   官方微博 | 高级检索  
     


Heteroclinic cycles in the repressilator model
Authors:A. Kuznetsov  V. Afraimovich
Affiliation:1. Department of Mathematical Sciences and Center for Mathematical Biosciences, IUPUI, 402 N. Blackford St., Indianapolis, IN 46202, USA;2. IICO, Universidad Autonoma de San Luis Potosi, 64, A.Obregon, San Luis Potosi 78210, Mexico;1. Ecole National Superieure, 46 rue d''Ulm, 75230 Paris, France;2. Hopital de la Salpetriere, 47 bd. de l''Hopital, 75651 Paris Cedex 13, France;3. CNRS&Universite 7-Denis Diderot, 10 rue Alice Domon et Leonie Duquet, 75205 Paris Cedex 13, France;1. 3M Company, St. Paul, MN, USA;2. Quantachrome Instruments, Boynton Beach, FL, USA;3. Weapons and Materials Research Directorate, U.S. Army Research Lab, Aberdeen Proving Ground, MD 21005-5066, USA;4. The Dow Chemical Company, Midland, MI, USA;5. National Institute of Standards and Technology, 100 Bureau Drive Stop 8320, Gaithersburg, MD 20899-8320, USA;6. United Technologies Research Center, 411 Silver Lane, East Hartford, CT 06108, USA
Abstract:A repressilator is a synthetic regulatory network that produces self-sustained oscillations. We analyze the evolution of the oscillatory solution in the repressilator model. We have established a connection between the evolution of the oscillatory solution and formation of a heteroclinic cycle at infinity. The convergence of the limit cycle to the heteroclinic cycle occurs very differently compared to the well-studied cases. The transition studied here presents a new bifurcation scenario.
Keywords:
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号