Fletcher P Thomas, Powell Stephanie, Foster Norman L, Joshi Sarang C
School of Computing, University of Utah, Salt Lake City, UT, USA.
Inf Process Med Imaging. 2007;20:446-57. doi: 10.1007/978-3-540-73273-0_37.
In this paper we describe a new method for quantifying metabolic asymmetry modulo structural hemispheric differences. The study of metabolic asymmetry in Alzheimer's disease (AD) serves as a driving application. The approach is based on anatomical atlas construction by large deformation diffeomorphic metric mapping (LDDMM) first introduced in [1]. Using invariance properties of the LDDMM, we define a structurally symmetric coordinate frame in which metabolic asymmetries between the left and the right hemispheres can be studied. This structurally symmetric coordinate system of each subject provides the correspondence between left and right hemispheric structures in an individual brain. These correspondences are used for measuring metabolic asymmetry modulo structural asymmetry. Again using the atlas construction framework, we build a common symmetric coordinate system of a entire population. The metabolic asymmetry maps of individuals in a population under study are mapped into the common structurally symmetric coordinate frame, allowing for a statistical description of the populations metabolic asymmetry. In this paper we prove certain invariance properties of the LDDMM atlas construction framework that make the definition of structurally symmetric coordinate systems possible. We present results from applying the methodology to images from the Alzheimer's Disease Neuroimaging Initiative (ADNI).
在本文中，我们描述了一种用于量化代谢不对称模结构半球差异的新方法。对阿尔茨海默病（AD）中代谢不对称的研究是一个驱动性应用。该方法基于通过大变形微分同胚度量映射（LDDMM）构建解剖图谱，此方法最初在[1]中被引入。利用LDDMM的不变性属性，我们定义了一个结构对称的坐标系，在其中可以研究左右半球之间的代谢不对称。每个受试者的这个结构对称坐标系提供了个体大脑中左右半球结构之间的对应关系。这些对应关系用于测量代谢不对称模结构不对称。再次使用图谱构建框架，我们构建了整个人群的公共对称坐标系。所研究人群中个体的代谢不对称图谱被映射到公共的结构对称坐标系中，从而能够对人群的代谢不对称进行统计描述。在本文中，我们证明了LDDMM图谱构建框架的某些不变性属性，这些属性使得结构对称坐标系的定义成为可能。我们展示了将该方法应用于阿尔茨海默病神经影像倡议（ADNI）图像的结果。
