Kinetic Analysis of Transition Rates onBrownian Motor

• Main Authors: Ping-Fan Yang, 楊秉凡
• Other Authors: Ming-Jer Huamg
• Format: Others
• Language: zh-TW
• Published: 2007
• Online Access: http://ndltd.ncl.edu.tw/handle/50224193219500387253

碩士 === 國立成功大學 === 工程科學系碩博士班 === 95 === 　The working environment of the molecular motor is in nano-scale, using hydrolysis and release processes bring chemically energy transfer to mechanical work, then starting mechanical motion. The molecular motor subjects to thermal fluctuation and makes mechanochemistry motion. We can use the theory of Brownian motor to illustrate how the molecular motor become the direction motion. 　This paper uses two state model to imitate molecular motor, supposedly two potentials are the same but shifted on a period to the right or to the left, and each state has two conformation states. Using enzyme kinetics concept, we first build up the Master equation of the molecular motor to calculate the probability density in each conformation state and then find the forward flux of the molecular motor. Because potential could change input energy of the molecular motor and the molecular motor made the mechanical work from resisting external force, we calculated the efficiency by input energy and mechanical work. 　This paper used MATLAB 7.0 to calculate the Master equation. We discussed the change of the flux of the molecular motor in different transition rates. When we increased the forward transition rates of two states, the flux of the molecular motor increased too. We compared forward with backward transition rates, because of the relationship of the model, the change of the flux of forward transition rates was more than the change of the flux of backward transition rates. The efficiency of the molecular motor is almost the same in different transition rates. The influence of transition rates on efficiency is very small.