脳磁図分析の現況と課題

• 鈴木 貴

  大阪大学大学院理学研究科

• 足立 善昭

  金沢工業大学先端電子技術応用研究所

• 下川原 正博

  金沢工業大学先端電子技術応用研究所

書誌事項

タイトル別名

• Present State and Problems in Magnetoencephalography
• ノウジズ ブンセキ ノ ゲンキョウ ト カダイ

抄録

Magnetoencephalography is a non-invasive and real time research for the activities of human brains by measuring magnetic fields caused by primary (neuron) currents inside. Those magnetic fields are rather weak, but recent development of the device based on the super-conductivity (SQUID) has made it possible to measure them. First, we describe mathematical analysis to the models of D. B. Geselowitz and F. Grynszpan, particularly non-uniqueness of the full-inverse problem. Next, taking account of the finiteness of observed data, we formulate the discrete inverse problem. Several methods for solving the problem are summarized as over-and under-determined systems. We study their validities in connection with the underlying assumptions on neuron currents. Finally, we propose new algorithms to solve ill-posed problems such as parallel optimizations and so forth.

収録刊行物

• 応用数理

  応用数理 11 (3), 209-222, 2001

  一般社団法人 日本応用数理学会

詳細情報

• CRID: 1390282680743384192
• NII論文ID: 110007390913
• NII書誌ID: AN10288886
• ISSN: 09172270
• ISSN: 24321982
• DOI: 10.11540/bjsiam.11.3_209
• NDL書誌ID: 5910071
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I5910071
• 本文言語コード: ja
• データソース種別:
  • JaLC
  • NDL
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可