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Parametric Probability Distribution Functions for Axon Diameters of Corpus Callosum
Sepehrband, Farshid1,2; Alexander, Daniel C.3; Clark, Kristi A.2; Kurniawan, Nyoman D.1; Yang, Zhengyi1,4,5; Reutens, David C.1
AbstractAxon diameter is an important neuroanatomical characteristic of the nervous system that alters in the course of neurological disorders such as multiple sclerosis. Axon diameters vary, even within a fiber bundle, and are not normally distributed. An accurate distribution function is therefore beneficial, either to describe axon diameters that are obtained from a direct measurement technique (e.g., microscopy), or to infer them indirectly (e.g., using diffusion-weighted MRI). The gamma distribution is a common choice for this purpose (particularly for the inferential approach) because it resembles the distribution profile of measured axon diameters which has been consistently shown to be non-negative and right-skewed. In this study we compared a wide range of parametric probability distribution functions against empirical data obtained from electron microscopy images. We observed that the gamma distribution fails to accurately describe the main characteristics of the axon diameter distribution, such as location and scale of the mode and the profile of distribution tails. We also found that the generalized extreme value distribution consistently fitted the measured distribution better than other distribution functions. This suggests that there may be distinct subpopulations of axons in the corpus callosum, each with their own distribution profiles. In addition, we observed that several other distributions outperformed the gamma distribution, yet had the same number of unknown parameters; these were the inverse Gaussian, log normal, log logistic and Birnbaum-Saunders distributions.
KeywordAxon Diameter Distribution Probability Distribution Function Corpus Callosum Electron Microscopy Generalized Extreme Value Distribution Gamma Distribution
WOS HeadingsScience & Technology ; Life Sciences & Biomedicine
Indexed BySCI
Funding OrganizationUniversity of Queensland Centennial (UQCent) ; International Postgraduate Research Scholarship (IPRS) ; National Health and Medical Research Council of Australia(628952) ; EPSRC(G007748 ; National Institute of Health(R00HD065832 ; I027084 ; R01MH094343 ; L022680 ; P41EB015922 ; M020533) ; U54EB 020406)
WOS Research AreaAnatomy & Morphology ; Neurosciences & Neurology
WOS SubjectAnatomy & Morphology ; Neurosciences
WOS IDWOS:000376778600001
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Document Type期刊论文
Affiliation1.Univ Queensland, Ctr Adv Imaging, Brisbane, Qld, Australia
2.Univ So Calif, Keck Sch Med, Mark & Mary Stevens Neuroimaging & Informat Inst, Lab Neuro Imaging, Los Angeles, CA 90033 USA
3.UCL, Ctr Med Image Comp, Dept Comp Sci, London, England
4.Chinese Acad Sci, Brainnetome Ctr, Inst Automat, Beijing, Peoples R China
5.Southwest Univ Sci & Technol, Fac Informat Engn, Mianyang, Peoples R China
Recommended Citation
GB/T 7714
Sepehrband, Farshid,Alexander, Daniel C.,Clark, Kristi A.,et al. Parametric Probability Distribution Functions for Axon Diameters of Corpus Callosum[J]. FRONTIERS IN NEUROANATOMY,2016,10.
APA Sepehrband, Farshid,Alexander, Daniel C.,Clark, Kristi A.,Kurniawan, Nyoman D.,Yang, Zhengyi,&Reutens, David C..(2016).Parametric Probability Distribution Functions for Axon Diameters of Corpus Callosum.FRONTIERS IN NEUROANATOMY,10.
MLA Sepehrband, Farshid,et al."Parametric Probability Distribution Functions for Axon Diameters of Corpus Callosum".FRONTIERS IN NEUROANATOMY 10(2016).
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