Title | Fluctuation-dissipation theorems for inhomogeneous Markov jump processes and a biochemical application |
Authors | Chen, Yong Jia, Chen Jiang, Da-Quan |
Affiliation | Hunan Univ Sci & Technol, Sch Math & Comp Sci, Xiangtan, Hunan 411201, Peoples R China. Univ Texas Dallas, Dept Math Sci, Dallas, TX 75080 USA. Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China. Peking Univ, Ctr Stat Sci, Beijing 100871, Peoples R China. Univ Texas Dallas, Dept Math Sci, Dallas, TX 75080 USA. Jiang, DQ (reprint author), Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China. Jiang, DQ (reprint author), Peking Univ, Ctr Stat Sci, Beijing 100871, Peoples R China. |
Keywords | SENSORY ADAPTATION IRREVERSIBLE-PROCESSES RECEPTOR MODIFICATION RECIPROCAL RELATIONS MECHANISM SYSTEMS |
Issue Date | 2017 |
Publisher | JOURNAL OF MATHEMATICAL PHYSICS |
Citation | JOURNAL OF MATHEMATICAL PHYSICS.2017,58(2). |
Abstract | In this paper, we establish a rigorous mathematical theory of three types of fluctuation-dissipation theorems (FDTs) for inhomogeneous Markov jump processes. It turns out that the FDTs and the response formula proved in this paper apply to any form of external perturbations and thus are quite general. Further physical and biochemical applications are also discussed. In particular, the FDTs are used to study an important biochemical phenomenon called adaptation. Published by AIP Publishing. |
URI | http://hdl.handle.net/20.500.11897/475319 |
ISSN | 0022-2488 |
DOI | 10.1063/1.4975337 |
Indexed | SCI(E) |
Appears in Collections: | 数学科学学院 数学及其应用教育部重点实验室 |