  Recent papers that have studied variants of the Peyrard-Bishop model for DNA,
have taken into account the long range interaction due to the dipole moments of
the hydrogen bonds between base pairs. In these models the helicity of the
double strand is not considered. In this particular paper we have performed an
analysis of the influence of the helicity on the properties of static and
moving breathers in a Klein--Gordon chain with dipole-dipole interaction. It
has been found that the helicity enlarges the range of existence and stability
of static breathers, although this effect is small for a typical helical
structure of DNA. However the effect of the orientation of the dipole moments
is considerably higher with transcendental consequences for the existence of
mobile breathers.
