A Study of Chemical Reactions in Point-to-Point Diffusion-Based Molecular Communication
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AbstractThe differential equations describing reaction-diffusion systems in molecular communication are non-linear and do not admit closed-form solutions in general. Consequently, characterizing optimal modulation and coding strategies is a key challenge in molecular communication. In this paper, we consider a concrete example and illustrate the application of tools from real and complex analysis to study this difficult problem. We show that the optimal release pattern is a finite sum of Dirac’s delta functions in our working example. Simulation results validate the discrete nature of the optimal release pattern. We also provide an upper bound on the numbers of delta functions under some assumptions.
Acceptance Date02/02/2023
All Author(s) ListHamidreza Abin, Amin Gohari, Masoumeh Nasiri-Kenari
Journal nameIEEE Access
Year2023
Month2
Day28
Volume Number11
PublisherIEEE
Pages24752 - 24767
ISSN2169-3536
LanguagesEnglish-United States
KeywordsTransmitters, Receivers, Chemical reactions, Mathematical models, Molecular communication (telecommunication), Modulation, Closed-form solutions, Molecular communication, chemical reaction, non-linear reaction-diffusion equations

Last updated on 2024-16-04 at 00:35