Analytical Investigation of Long-Time Diffusion Dynamics in a Synaptic Channel With Glial Cells
Autor: | Ali Emre Pusane, Halil Ibrahim Orhan, Abdullah Enes Oncu, Mehmet Anil Aslihak, Bayram Cevdet Akdeniz, Fatih Dinc, H. Birkan Yilmaz, Tuna Tugcu, Halil Umut Ozdemir, Asaf Toprakci |
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Přispěvatelé: | Toprakçı, Asaf |
Rok vydání: | 2021 |
Předmět: |
Physics
Characteristic equation Channel impulse response Synaptic channel Mechanics Upper and lower bounds Computer Science Applications Diffusion dynamics symbols.namesake Quantitative Biology - Neurons and Cognition FOS: Biological sciences Modeling and Simulation Diffusive synaptic communications Taylor series symbols Particle Molecular communications Neurons and Cognition (q-bio.NC) Electrical and Electronic Engineering Diffusion (business) Communication channel |
Zdroj: | IEEE Communications Letters |
ISSN: | 2373-7891 1089-7798 |
Popis: | 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. |
Databáze: | OpenAIRE |
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