Abstract
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)[2].
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Joshi, S., Davis, B., Jomier, M., Gerig, G.: Unbiased diffeomorphic atlas construction for computational anatomy. NeuroImage 23(Suppl.1), S151–S160 (2004)
Mueller, S.G., Weiner, M.W., Thal, L.J., Petersen, R.C., Jack, C., Jagust, W., Trojanowski, J.Q., Toga, A.W., Beckett, L.: The Alzheimer’s disease neuroimaging initiative. Neuroimaging Clin N Am 15, pp. 869–877 (2005)
Foster, N.L., Chase, T.N., Fedio, P., Patronas, N.J., Brooks, R.A., Chiro, G.D.: Alzheimer’s disease: focal cortical changes shown by positron emission tomography. Neurology 33(8), 961–965 (1983)
Martin, A., Brouwers, P., Lalonde, F., Cox, C., Teleska, P., Fedio, P., Foster, N.L., Chase, T.N.: Towards a behavioral typology of Alzheimer’s patients. J. Clin. Exp. Neuropsychol 8(5), 594–610 (1986)
Koss, E., Friedland, R.P., Ober, B.A., Jagust, W.J.: Differences in lateral hemispheric asymmetries of glucose utilization between early- and late-onset Alzheimer-type dementia. Am. J. Psychiatry 142(5), 638–640 (1985)
Thompson, P.M., Moussai, J., Zohoori, S., Goldkorn, A., Khan, A.A., Mega, M.S., Small, G.W., Cummings, J.L., Toga, A.W.: Cortical variability and asymmetry in normal aging and alzheimer’s disease. Cerebral Cortex 8, 492–509 (1998)
Thirion, J.-P., Prima, S., Subsol, G., Roberts, N.: Statistical analysis of normal and abnormal dissymmetry in volumetric medical images. In: IEEE Workshop on Biomedical Image Analysis 1998, pp. 74–83. IEEE Computer Society Press, Los Alamitos (1998)
Joshi, S., Lorenzen, P., Gerig, G., Bullitt, E.: Structural and radiometric asymmetry in brain images. Medical Image Analysis 7, 155–170 (2003)
Grenander, U., Miller, M.I.: Computational anatomy: An emerging discipline. Quarterly of Applied Mathematics 56, 617–694 (1998)
Fletcher, P., Lu, C., Pizer, S., Joshi, S.: Principal geodesic analysis for the study of nonlinear statistics of shape. IEEE Transactions on Medical Imaging 23, 995–1005 (2004)
Miller, M., Younes, L.: Group actions, homeomorphisms, and matching: A general framework. International Journal of Computer Vision 61, 61–84 (2001)
Joshi, S.C., Miller, M.I.: Landmark matching via large deformation diffeomorphisms. IEEE Transactions On Image Processing 9, 1357–1370 (2000)
Beg, M.F., Miller, M.I., Trouvé, A., Younes, L.: Computing large deformation metric mappings via geodesic flows of diffeomorphisms. International Journal of Computer Vision 61(2), 139–157 (2005)
Miller, M.I., Trouve, A., Younes, L.: On the metrics and euler-lagrange equations of computational anatomy. Annual Review of Biomedical Engineering 4, 375–405 (2002)
Fréchet, M.: Les éléments aléatoires de nature quelconque dans un espace distancié. Ann. Inst. H. Poincaré 10, 215–310 (1948)
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Fletcher, P.T., Powell, S., Foster, N.L., Joshi, S.C. (2007). Quantifying Metabolic Asymmetry Modulo Structure in Alzheimer’s Disease. In: Karssemeijer, N., Lelieveldt, B. (eds) Information Processing in Medical Imaging. IPMI 2007. Lecture Notes in Computer Science, vol 4584. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73273-0_37
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DOI: https://doi.org/10.1007/978-3-540-73273-0_37
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