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关于动态研究因子分析中明确解的存在性

On the existence of an unambiguous solution in factor analysis of dynamic studies.

作者信息

Sámal M, Kárný M, Sůrová H, Pĕnicka P, Maríková E, Dienstbier Z

机构信息

Institute of Biophysics and Nuclear Medicine, Faculty of Medicine, Charles University, Prague, Czechoslovakia.

出版信息

Phys Med Biol. 1989 Feb;34(2):223-8. doi: 10.1088/0031-9155/34/2/006.

DOI:10.1088/0031-9155/34/2/006
PMID:2928386
Abstract

Achievement of an unambiguous solution in factor analysis of dynamic radionuclide studies depends on constraints reflecting the known properties of factors. The constraints should be tight enough to prevent ambiguity but sufficiently general in order to ensure the data-based derivation of factors. In dynamic scintigraphy, the non-negativity of factors is their essential property which is implied by the physical nature of measured quantities. Considering factors as the images of compartments in the distribution space of a radiopharmaceutical (i.e. performing the factor analysis in the spatial domain), a powerful additional constraint can be applied. This constraint is based on the presence of segments in the image matrix where the subtotal number of compartments is projected. Using this constraint, the existence of physiologically related unique solution in factor analysis can be proved providing the number of factors is chosen properly.

摘要

在动态放射性核素研究的因子分析中,获得明确的解决方案取决于反映因子已知特性的约束条件。这些约束条件应足够严格以防止模糊性,但又要足够通用,以确保基于数据推导因子。在动态闪烁扫描中,因子的非负性是其基本属性,这由测量量的物理性质所暗示。将因子视为放射性药物分布空间中隔室的图像(即在空间域中进行因子分析),可以应用一个强大的附加约束条件。此约束条件基于图像矩阵中存在投影隔室总数的片段。使用此约束条件,可以证明在因子分析中存在生理相关的唯一解,前提是因子数量选择得当。

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