On DNA modelling : interaction of a double helicoidal structure with viscous bio-fluid

Abstract

The paper aims at extending, utilising and generalising research in nonlinear dynamics of (i) spiral/helicoidal structures, and (ii) viscous, low speed fluid to biomechanical DNA fluidstructure

interaction. Employing a nonlinear helicoidal model, the energy stored in a distorted Watson-Crick DNA model subjected to viscous, low speed organic fluid loading is formulated. Numerical solutions based on the variational principle are presented for a

linearized flow field as examples. Significant dynamical responses such as deformation components and resultants are discussed. A proposal for matching of DNA sequential characteristics with respect to the nonlinear dynamical responses is outlined in order to reveal information regarding DNA sequencing by means of a fluid-structure dynamical approach.