Unified Analysis of Spatio-Temporal Anomalous Diffusion for Nano-Bio Molecular Communication

Area of Science:

• Biophysics
• Communication Engineering
• Nanotechnology

Background:

• Molecular communication (MC) is crucial for nano-bio systems.
• Complex biological environments exhibit spatio-temporal anomalous diffusion (STAD).
• Understanding diffusion dynamics is key for reliable information transfer.

Purpose of the Study:

• To develop a unified mathematical framework for MC channels with STAD.
• To analyze the impact of Brownian mobility of transmitters (TX) and observers.
• To evaluate channel performance across various observer geometries and dimensions.

Main Methods:

• Characterizing the time-varying stochastic channel using channel impulse response (CIR).
• Developing a unified mathematical framework for STAD.
• Analyzing performance using average error probability (AEP), ROC, and AUC metrics.
• Validating analytical results with Monte Carlo simulations.

Main Results:

• The framework unifies classical diffusion and STAD models.
• Mobility and space-time anomalies significantly impact MC channel performance.
• Performance metrics reveal channel behavior across diverse geometries (1-D and 3-D).

Conclusions:

• The developed framework accurately models MC channels in complex biological environments.
• Insights gained are applicable to nano-bio communication and targeted drug delivery.
• This work advances the understanding of information propagation in biological systems.