Probabilistic Model for Passage Time of Chain-Like Structure through Thick Membrane
Z. Domański, A.Z. Grzybowski
Częstochowa University of Technology, 42-201 Częstochowa, Poland
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Transfer of a polymer across a membrane is the subject of extensive theoretical and experimental works. One of the most fruitful approaches to such studies relies on the usage of Monte Carlo simulations. In those methods, the polymers are viewed as an abstract chain-like structure, and among the principal goals of the simulation-analysis is to relate their passage time through a cell boundary with various characteristics describing both the structures and their environment. In this paper, we develop probabilistic models for a passage time of the chain-like-structures through a thick membrane. We examine the impact of the boundary thickness on the passage time through a flat membrane as well as its dependence on the polymer length. All our experiments are carried out with the help of our own-developed sequential algorithm that incorporates the tension-propagation mechanism.

DOI:10.12693/APhysPolA.139.513
topics: Monte Carlo simulations, polymer translocation, sequential algorithm, thick membrane