A Study of Chemical Reactions in Point-to-Point Diffusion-Based Molecular Communication

The 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.

• Publication year

  2023

• Venue

  IEEE Access

• Publication date

  Unknown publication date

• Fields of study

  Chemistry, Computer Science

• Identifiers
  DOI 10.1109/ACCESS.2023.3244611
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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