A PML Method for Signal-Propagation Problems in Axon | PERPUSTAKAAN UNIVERSITAS KATOLIK PARAHYANGAN

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A PML Method for Signal-Propagation Problems in Axon

Zheng, Weiying - Nama Orang; Jiang, Xue - Nama Orang; Lyu, Maohui - Nama Orang; Yin, Tao - Nama Orang;

This work is focused on the modeling of signal propagations in myelinated axons to characterize the functions of the myelin sheath in the neural structure. Based on reasonable assumptions on the medium properties, we derive a two-dimensional neural-signaling model in cylindrical coordinates from the time-harmonic Maxwell equations. The well-posedness of the model is established upon Dirichlet boundary conditions at the two ends of the neural structure and the radiative condition in the radial direction of the structure. Using the perfectly matched layer (PML) method, we truncate the unbounded background medium and propose an approximate problem on the truncated domain. The well-posedness of the PML problem and the exponential convergence of the approximate solution to the exact solution are established. Numerical experiments based on finite element discretization are presented to demonstrate the theoretical results and the efficiency of our methods of simulating the signal propagation in axons.

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Barcode		Tipe Koleksi	Nomor Panggil	Lokasi	Status
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Informasi Detail

Judul Seri: SIAM JOURNAL ON APPLIED MATHEMATICS; Vol. 83, No. 5, September - October 2023
No. Panggil: -
Penerbit: : .,
Deskripsi Fisik: p. 1785-1805
Bahasa: English
ISBN/ISSN: -
Klasifikasi: NONE
Tipe Isi: -
Tipe Media: -
Tipe Pembawa: -
Edisi: -
Subjek: PERFECTLY MATCHED LAYER
NEURAL SIGNAL TRANSMISSION
MYELIN SHEATH
MAXWELL EQUATION
Info Detail Spesifik: https://doi.org/10.1137/22M1544063
Pernyataan Tanggungjawab: Xue Jiang, Maohui Lyu, Tao Yin, Weiying Zheng

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