DMC Approach for Modeling Viral Transmission over Respiratory System

Diffusive Molecular Communication (DMC) is a widely accepted technique for modeling biological environments. Within DMC, information is conveyed from transmitting nanomachines to a receiving nano-machine by utilizing molecules that disperse through the medium. This Paper uses the DMC Approach for Modeling Viral Transmission over Respiratory System. It is noticeable that the complete respiratory tract is responsible to grade the severity of the disease. And therefore, literatures present propagation of CoVID-29 in the respiratory tract. Further, it is most important to mention that the impulse response of the system which characterizes ACE2 (Angiotensin-converting enzyme 2) concentration per unit area (f(y)) plays a major role in modeling viral transmission over the respiratory tract. The Author in [8] describes the propagation of SARS-COV2 bacteria over the respiratory tract and its binding with the ACE2 receptor however we present a generalized approach which can be applied to any type of bacteria and its binding with any receptor kind. In particular, analytical expressions of binding probability \({P}_{b}\) , probability of the virus evading \({P}_{e}(y)\) and probability of binding rate y \({P}_{b}\left(y\right)\) under certain impulse responses are presented in this work. Also, the effect of different physical parameters on \({P}_{b}\) , \({P}_{nb}\) and \({P}_{b}(y)\) have been quantified with the help of numerical simulation. This work presents a mathematical model describing the concentration of virus and its distribution throughout the respiratory tract. Presented analysis shows perfect agreement with the theoretical background.