We describe new approach for algorithmization of the chain-like structures' dynamics. The main underlying idea of our approach is the sequentialization of the moves. The resulting algorithm enables efficient sampling of vast state spaces related to considered phenomena. In our simulation experiments the algorithm appeared to be much faster than other algorithms known from literature. Therefore it enables researchers to study complex models of such systems as biomolecules or artificial polymers. In this paper we perform simulation study of interrelations between various parameters specifying different movement characteristics. Also the impact of these parameters on the time taken to cover a given distance along a given trajectory in the motion space is analyzed.

Abstract. 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.

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.