Kinetics of polymer translocation through a pore.
We theoretically study kinetics of a polymer threading through a pore embedded in a flat membrane. We numerically solve three coupled kinetic equations for the number n(1) of polymer segments in one side of the membrane and expansion factors of the polymer chain in each side of the membrane. We find the time evolution n(1) proportional to t(1/(1+nu)) at late stages and the translocation time tau(t) is scaled as tau(t) proportional to 1+nu) for large number n of the polymer segments, where nu is the effective size exponent of the radius of gyration of the polymer. When the polymer is translocated into a region with a good solvent condition (nu=3/5), we obtain n(1) proportional to t(5/8) and tau(t) proportional to n(8/5).
Department of Bioscience and Bioinformatics, Faculty of Computer Science and System Engineering, Kyushu Institute of Technology, Kawazu 680-4, Iizuka, Fukuoka 820-8502, Japan. matuyama@bio.kyutech.ac.jp
Akihiko
A
Matsuyama
D007700:Kinetics; D008567:Membranes, Artificial; D008956:Models, Chemical; D011108:Polymers / Q000737:chemistry*; D016062:Porosity
D008567:Membranes, Artificial; D011108:Polymers