Flomenbom O, Klafter J
School of Chemistry, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv, Israel.
Biophys J. 2004 Jun;86(6):3576-84. doi: 10.1529/biophysj.103.037580.
We investigate the translocation of a single-stranded DNA through a pore which fluctuates between two conformations, using coupled master equations. The probability density function of the first passage times of the translocation process is calculated, displaying a triple-, double-, or monopeaked behavior, depending on the interconversion rates between the conformations, the applied electric field, and the initial conditions. The cumulative probability function of the first passage times, in a field-free environment, is shown to have two regimes, characterized by fast and slow timescales. An analytical expression for the mean first passage time of the translocation process is derived, and provides, in addition to the interconversion rates, an extensive characterization of the translocation process. Relationships to experimental observations are discussed.
我们使用耦合主方程研究单链DNA通过一个在两种构象之间波动的孔的转位过程。计算了转位过程首次通过时间的概率密度函数,其显示出三峰、双峰或单峰行为,这取决于构象之间的相互转换速率、外加电场和初始条件。结果表明,在无场环境中,首次通过时间的累积概率函数有两种状态,其特征在于快速和慢速时间尺度。推导了转位过程平均首次通过时间的解析表达式,除了相互转换速率外,还提供了转位过程的广泛特征描述。并讨论了与实验观察结果的关系。