Analysis of the breakdown of continuum and semidiscrete approximation of a nonlinear model for the DNA double helix

Abstract

We show that the continuum and semidiscrete approximations break down for the propagation of pulses in a nonlinear model developed to mimic some dynamic aspects of the DNA double helix. The model assumes nonlinear behavior for the interbase hydrogen bonds. The effects of longer-range interactions and additional nonlinearities of the system are explored. Numerical solutions showing the effects of these additional factors are displayed.