Fick’s Law Model Revisited: A New Approach to Modeling Multiple Sources Message Dissemination in Bacterial Communication Nanosystems

Abstract

As advances in nanotechnology continue their ascending course, new areas of application for nanoscale communication open up, involving biological systems. Such systems have peculiarities that must be taken into consideration, when trying to study new communication paradigms based on microbiological communication systems. In this paper, an innovative mathematical model is employed, in an effort to study message dissemination through bacterial communication in the form of delivery of information within a simple, biologically inspired, communication system consisting of bacteria, yet representative of the characteristics of biological nanocommunication environments. Stimulus spreading is being investigated within the realm of message dissemination in electromagnetic networks, for single and multiple infection sources using macro scale simulation techniques, with the help of a simulation tool, which was developed based on a commercial simulation suite. The observed results indicate that the mathematical model predictions are in strong agreement with the simulations described by Fick's laws of diffusion and well-approximated through the Fisher-Kolmogorov-Petrovsky-Piscunov (FKPP) equation, enabling use of conventional simulation systems for fast biological nanosystem property investigation.