Statistical Physical Model for Rise and Fall Time Analysis of DMNC System

Nano communication is having a subset class of Diffusion Molecular Communication (DMC) which is the most popular and evolving. Time channel is a common channel model in diffusive MNC. Diffusion of Molecules in DMC results in prediction of performance metrics and count of diffused molecules as well. It is most important to mention that rise time as well as fall time both significantly contribute to overall transmission and reception time duration. DMC has great applicability in a spherical shaped environment in contrast to a rectangular-shaped environment. Human body has many entities which such as the kidney, stomach, lungs, and cells are sphere-shaped so they have great importance in DMC. Therefore, in this short Communication, rise time and fall time of the DMC system are analyzed by presenting close form expressions of each of them. The rising time value decreases and the fall time value increases with increasing transmitter and receiver distance. Numerical analysis shows a good match with the theory. Also the proposed work is beneficial for future nano networks applications that interface with biological processes in living things because of its close association with biological environment and viability at cellular networks.