Propagation of elastic waves in DNA
type: Item
instance of: scholarly article
title: Propagation of elastic waves in DNA
zbMATH Open document ID: 0535.92011
DOI: 10.1155/S0161171283000654
author: Sunil Mukherjee
author: Saumyendra Nath Sarkar
author: Probhas Raychaudhuri
author: S. K. Mazumdar
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1983-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/45290
review text: The structure of DNA chains is thought to be made up of discrete repeating units of equal mass which are connected by massless rods of equal length. The equation of motion of each monomer unit is given for propagation of longitudinal waves along a wormlike and homopolymer assumed DNA chain. Besides the frictional force of the harmonic oscillation working on each bead they are subjected also to a Brownian force. By considering the longitudinal vibrations only and no bending a stochastic partial differential equation of second order is derived and the initial as well as the boundary conditions are specified. The standing waves along the length of the DNA polymer cause local zones of stretching and compression; local stretching of bases giving rise to kinks within the structure and consequent drug intercalation. The near neighbour exclusion phenomenon of drug intercalation may be understood also by the propagation of longitudinal sinusoidal waves along the monomer units. Local compression generates premelted regions of DNA which may give rise to conformational fluctuations of helix opening and reclosing (DNA breathing). The analysis of the equation for torsional vibrations in DNA molecule shows that in high salt concentration DNA duplex can oscillate between left handed and right handed helical conformations depending on sequences of nucleic acid bases.
reviewed by: J.Peil
Mathematics Subject Classification ID: 92Cxx
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 74L15
zbMATH DE Number: 3850880
zbMATH Keywords: handedness of DNA
zbMATH Keywords: DNA chains
zbMATH Keywords: propagation of longitudinal waves
zbMATH Keywords: Brownian force
zbMATH Keywords: standing waves
zbMATH Keywords: near neighbour exclusion phenomenon of drug intercalation
zbMATH Keywords: DNA breathing
zbMATH Keywords: torsional vibrations
zbMATH Keywords: helical conformations
MaRDI profile type: Publication
OpenAlex ID: W1984755726
description: scientific article; zbMATH DE number 3850880