A New Yakushevich Model of Topological Solitons

Abstract

Thanks to DNA interesting structure and its key role in the formation of life, many studies have been carried out on its properties and applications that have heretofore brought about great advances in science and technology such as biomedicine, agriculture, artificial intelligence, and even telecommunication. Topological solitons can be simulated through DNA strands when they are detached and they can travel along these strands because of DNA extremely high length/width ratio. Here, we investigate the topological soliton propagation through DNA strands and dispersion relation by employing the Yakushevich method and modifying a potential term in strand interaction. This paper also makes a comparison between our model’s results and previously achieved results.