Analytical Investigation of Long-Time Diffusion Dynamics in a Synaptic Channel With Glial Cells

Oncu A. E., Ozdemir H. U., Orhan H. I., Akdeniz B. C. C., Toprakci A., Aslihak M. A., ...More

IEEE COMMUNICATIONS LETTERS, vol.25, no.11, pp.3444-3448, 2021 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 25 Issue: 11
  • Publication Date: 2021
  • Doi Number: 10.1109/lcomm.2021.3105613
  • Journal Name: IEEE COMMUNICATIONS LETTERS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, PASCAL, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, Civil Engineering Abstracts
  • Page Numbers: pp.3444-3448
  • Keywords: Degradation, Glial cells, Mathematical model, Neurotransmitters, Geometry, Analytical models, Upper bound, Diffusive synaptic communications, molecular communications, channel impulse response, synaptic channel
  • Middle East Technical University Affiliated: Yes

Abstract

In this letter, we first derive the analytical channel impulse response for a cylindrical synaptic channel surrounded by glial cells and validate it with particle-based simulations. Afterwards, we provide an accurate analytical approximation for the long-time decay rate of the channel impulse response by employing Taylor expansion to the characteristic equations that determine the decay rates of the system. We validate our approximation by comparing it with the numerical decay rate obtained from the characteristic equation. Overall, we provide a fully analytical description for the long-time behavior of synaptic diffusion, e.g., the clean-up processes inside the channel after communication has long concluded.