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解决逆问题方法的历史与演进

History and evolution of methods for solving the inverse problem.

作者信息

van Oosterom A

机构信息

Laboratory of Medical Physics and Biophysics, University of Nijmegen, The Netherlands.

出版信息

J Clin Neurophysiol. 1991 Oct;8(4):371-80. doi: 10.1097/00004691-199110000-00002.

DOI:10.1097/00004691-199110000-00002
PMID:1761703
Abstract

This article serves as an introduction to the other articles in this issue devoted to the problem of the localization of neural generators. Elements of the theory of electric volume conduction are briefly introduced, as far as these apply to the interpretation of observed scalp potentials. First, some basic methods for display of the different aspects of the spatiotemporal information are described. Next, the most prominent source and volume conductor models that have been postulated for the involved forward problem are summarized. The problems of source identification and source localization, known as the inverse problem, are then formulated in terms of a parameter estimation procedure. The importance of introducing a priori information in the inverse problem, aimed at stabilizing (regularizing) the obtained solution, is emphasized. Methods for imposing such constraints are briefly outlined.

摘要

本文作为本期其他文章的引言,这些文章致力于神经发生器定位问题。简要介绍了电容积传导理论的要素,只要这些要素适用于对观察到的头皮电位的解释。首先,描述了用于显示时空信息不同方面的一些基本方法。接下来,总结了针对所涉及的正向问题假设的最突出的源和容积导体模型。然后,将源识别和源定位问题(称为逆问题)表述为参数估计过程。强调了在逆问题中引入先验信息以稳定(正则化)所得解的重要性。简要概述了施加此类约束的方法。

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