We consider a double-stranded DNA (dsDNA) confined between two walls of a strip of finite width. We investigate the effect of solvent gradient on the transfer of dsDNA from one wall to the other. For this a mutually self-attracting self-avoiding walk model of polymer has been considered on the square lattice. The strength of base-pairing interactions between the two strands across the strip has been varied to model the solvent gradient. Using the exact enumeration technique we explored the effect of sequence and solvent gradient on the melting profile of short chain DNA. These results are substantiated by Monte Carlo simulations for a longer chain. The simple model presented here captures essential physics of transport in the biological processes.

我们考虑了一个双链DNA（dsDNA），它被限制在一条有限宽度的条带的两壁之间。我们调查溶剂梯度对dsDNA从一堵墙到另一堵墙的转移的影响。为此，已经在正方形晶格上考虑了聚合物的相互吸引的自避免行走模型。跨越条带的两条链之间的碱基配对相互作用的强度已经改变以模拟溶剂梯度。使用精确的枚举技术，我们探索了序列和溶剂梯度对短链DNA熔解曲线的影响。这些结果被较长链的蒙特卡洛模拟所证实。这里介绍的简单模型捕获了生物过程中运输的基本物理学。