Wyniki wyszukiwania - BazTech

1

An improvement of the sequential algorithm for modeling the chain-like-bodies motion

Bartłomiejczyk K.

Journal of Applied Mathematics and Computational Mechanics

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2018

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Vol. 17, nr 2

5--16

EN

Numerous simulation studies in statistical physics make use of various algorithms that are designed for modeling of the chain-like-body (CLB) motion. In recent years within this group a new sequential algorithm was proposed. The main idea of this new approach to the algorithmization of the CLB motion is based on the incorporation of the tension propagation mechanism into each simulated move. In this paper, improvement of this algorithm by implementation of the direction-preference-mechanism is proposed. This modification enables one to better mimic the real behavior of the CLB. The impact of the new procedure on the simulation process is studied with the help of metamodels that relate to some important characteristics of the CLB motion with the algorithm’s new parameters.

2

Probabilistic model of the chain-like structures' translocation through the pore in membrane

Bartłomiejczyk K.

Journal of Applied Mathematics and Computational Mechanics

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2015

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Vol. 14, nr 4

5--10

EN

The paper is devoted to the analysis of the translocation of the chain-like structures (CLS) through the pore in membrane. It focuses on the so-called passage time and the principal aim is to propose a proper probabilistic model for its distribution. The article starts with some preliminary results concerning stochastic processes. Next, an approximate analytic solution of the considered problem that was received in literature is presented. It is known that the resulting probability distribution of the passage time manifests some important shortcomings. Thus it is important to find a reasonable alternative. It is argued here that the beta Moyal probability distribution can be a good candidate for approximation of the theoretical distribution in various interesting situations. In this paper, two different problems connected with CLS translocation are considered. For both problems the theoretical distributions are known from literature and in both situations the beta Moyal approximations turn out to be very satisfactory.

3

Chain-like structures' motion - metamodeling of the translocation time in some specific situations

Bartłomiejczyk K.

Journal of Applied Mathematics and Computational Mechanics

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2014

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Vol. 13, nr 3

5--12

EN

This article discusses an application of an algorithm for modeling the chain-like structures’ motion. The basic and the most important assumption of the adopted approach is sequentialization of the moves. In the presented version of the algorithm there is a possibility of modeling the tension propagation mechanism. The main purpose of the paper is to investigate the impact of different algorithm parameters on final movement characteristics. Based on the Monte Carlo experiments metamodels describing the relationship between the translocation time and selected algorithm parameters are proposed and discussed.

4

Distribution of position of segment initiating the chain-like structure translocation through the membrane opening

Bartłomiejczyk K.

Journal of Applied Mathematics and Computational Mechanics

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2013

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Vol. 12, nr 1

5--10

EN

This article discusses the transport of chain-like structures across a pore in membrane. Such a translocation process is initiated by the first monomer captured by molecules forming the pore. This study focuses on the distribution of the position of this particular polymer’s segment. The polymer attachment process is simulated using the sequential algorithm and the influence of various physical and chemical parameters is analyzed. Selected results are presented by means of different histograms.