Japanese
Title直接積分線形最小2乗法による簡便なヘパトグラム解析法の開発 (第1報) - 原理と基礎的検討, 非線形最小2乗法との比較 -
Subtitle≪原著≫
Authors秀毛範至*
Authors(kana)
Organization*金沢大学医学部核医学教室
Journal核医学
Volume28
Number4
Page381-390
Year/Month1991/4
Article原著
Publisher日本核医学会
Abstract「要旨」簡便迅速に施行できる肝胆道シンチグラムの客観的評価法として, 直接積分線形最小2乗法を用いたコンパートメントモデルに基づく, ヘパトグラム解析法を考案した. この方法はモデルパラメータを決定する際, 従来の非線形最小2乗法のような煩雑な操作, すなわち初期近似値の入力や計算の反復によるパラメータ値の最適化を必要とせず, 簡便迅速にパラメータ値の決定が可能である. この直接積分線形最小2乗法を用いたヘパトグラム解析法の基本的性質, 有用性をシミュレーションおよび170例の肝胆道シンチグラムを対象に評価した. その結果, 解析処理に多大な時間を要した非線形最小2乗法と異なり, この方法は非線形最小2乗法と同等のモデルパラメータ決定能力を持ちながら処理時間の短縮が可能であることから, 日常のデータ処理にきわめて有用であると考えられた.
Practice臨床医学：一般
KeywordsHepatobiliary scintigraphy, Hepatogram analysis, Direct integral linear least square regression method.
English
TitleDirect Integral Linear Least Square Regression Method for Kinetic Evaluation of Hepatobiliary Scintigraphy : Theory, Basic Analysis and Comparison with Non-linear Least Square Regression Method
Subtitle- Original Articles -
AuthorsNoriyuki SHUKE
Authors(kana)
OrganizationDepartment of Nuclear Medicine, Kanazawa University School of Medicine
JournalThe Japanese Journal of nuclear medicine
Volume28
Number4
Page381-390
Year/Month1991/4
ArticleOriginal article
PublisherTHE JAPANESE SOCIETY OF NUCLEAR MEDICINE
Abstract[Summary] In hepatobiliary scintigraphy, kinetic model analysis, which provides kinetic parameters like hepatic extraction or excretion rate, have been done for quantitative evaluation of liver function. In this analysis, unknown model parameters are usually determined using nonliner least square regression method (NLS method) where iterative calculation and initial estimate for unknown parameters are required. As a simple alternative to NLS method, direct integral linear least square regression method (DILS method), which can determine model parameters by a simple calculation without initial estimate, is proposed, and tested the applicability to analysis of hepatobiliary scintigraphy. In order to see whether DILS method could determine model parameters as good as NLS method, or to determine appropriate weight for DILS method, simulated theoretical data based on prefixed parameters were fitted to 1 compartment model using both DILS method with various weightings and NLS method. The obtained parameter values were then compared with prefixed values which were used for data generation. The effect of various weights on the error of parameter estimate was examined, and inverse of time was found to be the best weight to make the error minimum. When used this weight, DILS method could give close parameter values to those obtained by NLS method and both parameter values were very close to prefixed values. With appropriate weighting, the DILS method could provide reliable parameter estimate which is relatively insensitive to the data noise. In conclusion, the DILS method could be used as a simple alternative to NLS method, providing reliable parameter estimate.
PracticeClinical medicine
KeywordsHepatobiliary scintigraphy, Hepatogram analysis, Direct integral linear least square regression method.

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