Electric manifestations and social implications of bacteria aggregation from the Bessel-Keller-Segel equation

Abstract

This paper proposes a fair extension of Keller-Segel equation based in the argument that bacteria exhibit proporties electric in their composition. The new mathematical form of this extension involves the integer-order Bessel functions. With this one can go through the electrodynamics of the representative scenarios in order to understand the social behavior of bacteria. From the theoretical side this paper demonstrates that, charged electrically, aggregation of bacteria would give rise to electric currents that hypothetically are the reasons for social organization and disruption among them. The electrical properties of bacteria from this mathematical proposal might be relevant in a prospective implementation of so-called Internet of Bio-Nano Things network, that aims to be characterized for having a very high signal/noise.