MARKOV CHAIN INVERSION APPROACH TO IDENTIFY THE TRANSITION RATES OF ION CHANNELS  

作　　者：向绪言 邓迎春 杨向群 

机构地区：[1]College of Mathematics,Hunan University of Arts and Science [2]College of Mathematics and Computer Science,Hunan Normal University

出　　处：《Acta Mathematica Scientia》2012年第5期1703-1718,共16页数学物理学报（B辑英文版）

基　　金：Supported by National Natural Science Foundation of China (10871054;11171101);Provincial Natural Science Foundation of Hunan (09JJ6016);Scientific Research Fund of Hunan Provincial Education Department (10B073)

摘　　要：We consider how to identify the transition rates of ion channels with the underlying scheme which is kinetically modelled as time-homogeneous Markov chain. A Markov chain inversion approach is developed to perform a difficult inversion to identify the transition rates from the parameters characterizing the lifetime distributions at a small number of states, although it is straightforward to derive the lifetime distribution. The general explicit equations relating the parameters of the lifetime distribution to the tran- sition rates are derived and transition rates are then obtained as roots to this system of equations. The concrete solutions are proposed to the basic and regular schemes such as linear, star-graph branch and loop. Useful conclusions and solutions to realistic schemes are also included to show its efficiency.We consider how to identify the transition rates of ion channels with the underlying scheme which is kinetically modelled as time-homogeneous Markov chain. A Markov chain inversion approach is developed to perform a difficult inversion to identify the transition rates from the parameters characterizing the lifetime distributions at a small number of states, although it is straightforward to derive the lifetime distribution. The general explicit equations relating the parameters of the lifetime distribution to the tran- sition rates are derived and transition rates are then obtained as roots to this system of equations. The concrete solutions are proposed to the basic and regular schemes such as linear, star-graph branch and loop. Useful conclusions and solutions to realistic schemes are also included to show its efficiency.

关 键 词：Maxkov chain transition rate INVERSION lifetime distribution 

分 类 号：Q25[生物学—细胞生物学] O211.62[理学—概率论与数理统计]