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 (Journal Indexed in SCI) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 25 Issue: 11
  • Publication Date: 2021
  • Doi Number: 10.1109/lcomm.2021.3105613
  • Title of Journal : IEEE COMMUNICATIONS LETTERS
  • 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

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.