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RESEARCH ANNOUNCEMENTS——Coupled Diffusion Processes
引用本文:章复熹. RESEARCH ANNOUNCEMENTS——Coupled Diffusion Processes[J]. 数学进展, 2004, 33(5): 631-634
作者姓名:章复熹
作者单位:LMAM,SchoolofMathematicalSciences,PekingUniversity,Beijing,100871,P.R.China
基金项目:This work is partly supported by NSFC(No. 10271009).
摘    要:Coupled diffusion processes (or CDP for short) model the systems of molecular motors, which attract much interest from physicists and biologists in recent years. The pro-tein moves along a filament called the track, and it is crucial that there are several inner states of the protein and the u‘nderlying chemical reaction causes transitions among different inner states, while chemical energy can be converted to mechanical energy by rachet effects. In this sense, the protein becomes a motor and is called a Brownian particle coupled with a chemical reaction. The impact of the chemical reaction can be considered as a particle source, hencethe Fokker-Planck equation should be

关 键 词:偏微分方程 马尔科夫过程 CDP 随机变化 巴拿赫空间 连续方程
修稿时间:2004-07-17

Coupled Diffusion Processes
ZHANG Fu-xi. Coupled Diffusion Processes[J]. Advances in Mathematics(China), 2004, 33(5): 631-634
Authors:ZHANG Fu-xi
Abstract:
Keywords:
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