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

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 respon...

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Bibliographic Details
Published in:IEEE communications letters 2021-11, Vol.25 (11), p.3444-3448
Main Authors: Oncu, Abdullah Enes, Ozdemir, Halil Umut, Orhan, Halil Ibrahim, Akdeniz, Bayram Cevdet Cevdet, Toprakci, Asaf, Aslihak, Mehmet Anil, Yilmaz, H. Birkan, Pusane, Ali E., Tugcu, Tuna, Dinc, Fatih
Format: Article
Language:English
Subjects:
Analytical models
Approximation
channel impulse response
Decay rate
Degradation
Diffusive synaptic communications
Eigenvalues
Eigenvectors
Geometry
Glial cells
Impulse response
Mathematical analysis
Mathematical model
molecular communications
Neurotransmitters
synaptic channel
Taylor series
Upper bound
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Summary: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.
ISSN:1089-7798
1558-2558
DOI:10.1109/LCOMM.2021.3105613