Presentation 2006-03-15
Fast solving method of the large linear system in the bidomain model
Tohru SUZUKI, Shunsuke SATO, Tohru OHE, Ryoji SUZUKI, Fumihiko KAJIYA,
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Abstract(in English) To solve the large linear system of a 3-dimensional bidomain model (BM) as fast as possible, we evaluated the multi-grid (MG) method with various smoothers. We constructed a 10×5×5mm rectangular-shaped cardiac tissue model with 1mA constant current stimuli through the electrodes at the corners of the tissue. We adopted the 3-grid, V-cycle MG, used LU decomposition as a complete solver at the coarsest grid, and used Gauss-Seidel or ILU-preconditioned Jacobi as a smoother. Furthermore, we developed an accelerator utilizing GCR with previously calculated residuals. As a result, we found ILU1 was the fastest smoother and we could calculate BM with only 3 times as much time as for the monodomain model.
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Keyword(in English) cardiac electrophysiology / bidomain model / boundary value problem / large linear system / multi-grid
Paper # MBE2005-129
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Committee MBE
Conference Date 2006/3/8(1days)
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Registration To ME and Bio Cybernetics (MBE)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Fast solving method of the large linear system in the bidomain model
Sub Title (in English)
Keyword(1) cardiac electrophysiology
Keyword(2) bidomain model
Keyword(3) boundary value problem
Keyword(4) large linear system
Keyword(5) multi-grid
1st Author's Name Tohru SUZUKI
1st Author's Affiliation Okayama University Graduate School of Medicine, Dentistry, and Pharmaceutical Sciences()
2nd Author's Name Shunsuke SATO
2nd Author's Affiliation Department of Physical Therapy, Aino University
3rd Author's Name Tohru OHE
3rd Author's Affiliation Okayama University Graduate School of Medicine, Dentistry, and Pharmaceutical Sciences
4th Author's Name Ryoji SUZUKI
4th Author's Affiliation Human Information System Laboratory, Kanazawa Institute of Technology
5th Author's Name Fumihiko KAJIYA
5th Author's Affiliation Okayama University Graduate School of Medicine, Dentistry, and Pharmaceutical Sciences
Date 2006-03-15
Paper # MBE2005-129
Volume (vol) vol.105
Number (no) 655
Page pp.pp.-
#Pages 4
Date of Issue