  An accurate and efficient characterization of the polyelectrolyte properties
for cytoskeleton filaments are key to the molecular understanding of electrical
signal propagation, bundle and network formation, as well as other relevant
physicochemical processes associated with biological functions in eukaryotic
cells and their potential nanotechnological applications. In this article, we
introduce an innovative multi-scale approach able to account for the atomistic
details of a proteins molecular structure, its biological environment, and
their impact on electrical impulses propagating along wild type Actin
filaments. The approach provides a novel, simple, accurate, approximate
analytic expression for the characterization of electrical impulses in the
shape of soliton waveforms. It has been successfully used to determine the
effects of electrolyte conditions and voltage stimulus on the electrical
impulse shape, attenuation and kern propagation velocity in these systems. Our
results predict the propagation of electrical signal impulses in the form of
solitons for the range of voltage stimulus and electrolyte solutions typically
present in intracellular and in-vitro conditions. This multi-scale theory may
also be applicable to other highly charged rod-like polyelectrolytes with
relevance in biomedicine and biophysics. It is also able to account for
molecular structure conformation (mutation) and biological environment
(protonations/deprotonations) changes often present in pathological conditions.
