Elastic wave propagation along DNA

Abstract

It is shown that information transmission inside a cell can occur by means of mechanical waves transmitted through DNA. The propagation of the waves is strongly dependent on the shape of the DNA thus proteins that change the shape of DNA can alter signal transmission. The overall effect is a method of signal processing by DNA binding proteins that creates a "cellular communications network". The propagation of small amplitude disturbances through DNA is treated according to the mechanical theory of elastic rods. According to the theory four types of mechanical waves affecting extension(compression), twist, bend or shear can propagate through DNA. Each type of wave has unique characteristic properties. Disturbances affecting all wave types can propagate independently of each other. Using a linear approximation to the theory of motion of elastic rods, the dispersion of these waves is investigated. The phase velocities of the waves lies in the range 5-8 angstroms/ps using constants suitable for a description of DNA. The dispersion of all wave types of arbitrary wave length is investigated for a straight, twisted rod. Based on these findings, we propose all-atom numerical simulations of DNA to investigate the propagation of these waves as an alternative measure of the wave velocity and dispersion analysis.