Determination of Axonal and Dendritic Orientation Distributions Within the Developing Cerebral Cortex by Diffusion Tensor Imaging

As neurons of the developing brain form functional circuits, they undergo morphological differentiation. In immature cerebral cortex, radially-oriented cellular processes of undifferentiated neurons impede water diffusion parallel, but not perpendicular, to the pial surface, as measured via diffusion-weighted magnetic resonance imaging, and give rise to water diffusion anisotropy. As the cerebral cortex matures, the loss of water diffusion anisotropy accompanies cellular morphological differentiation. A quantitative relationship is proposed here to relate water diffusion anisotropy measurements directly to characteristics of neuronal morphology. This expression incorporates the effects of local diffusion anisotropy within cellular processes, as well as the effects of anisotropy in the orientations of cellular processes. To obtain experimental support for the proposed relationship, tissue from 13 and 31 day-old ferrets was stained using the rapid Golgi technique, and the 3-D orientation distribution of neuronal proceses was characterized using confocal microscopic examination of reflected visible light images. Coregistration of the MRI and Golgi data enables a quantitative evaluation of the proposed theory, and excellent agreement with the theoretical results, as well as agreement with previously published values for locally-induced water diffusion anisotropy and volume fraction of the neuropil, is observed.

[1]  A. Anderson Measurement of fiber orientation distributions using high angular resolution diffusion imaging , 2005, Magnetic resonance in medicine.

[2]  Khader M Hasan,et al.  Diffusion tensor imaging of the developing human cerebrum , 2005, Journal of neuroscience research.

[3]  Stephan E Maier,et al.  Developmental changes and injury induced disruption of the radial organization of the cortex in the immature rat brain revealed by in vivo diffusion tensor MRI. , 2007, Cerebral cortex.

[4]  B. Antalffy,et al.  Decreased Dendritic Branching in Frontal, Motor and Limbic Cortex in Rett Syndrome Compared with Trisomy 21 , 1998, Journal of neuropathology and experimental neurology.

[5]  G. Tredici,et al.  Dendritic arborization and spines of the neurons of the cat and human periaqueductal gray: A light, confocal laser scanning, and electron microscope study , 1998, The Anatomical record.

[6]  A. Snyder,et al.  Radial organization of developing preterm human cerebral cortex revealed by non-invasive water diffusion anisotropy MRI. , 2002, Cerebral cortex.

[7]  P. Basser,et al.  MR diffusion tensor spectroscopy and imaging. , 1994, Biophysical journal.

[8]  D. Tuch Q‐ball imaging , 2004, Magnetic resonance in medicine.

[9]  Adolf Pfefferbaum,et al.  Diffusion tensor imaging in normal aging and neuropsychiatric disorders. , 2003, European journal of radiology.

[10]  Daniel C. Alexander,et al.  Persistent Angular Structure: New Insights from Diffusion MRI Data. Dummy Version , 2003, IPMI.

[11]  P. Basser,et al.  Estimation of the effective self-diffusion tensor from the NMR spin echo. , 1994, Journal of magnetic resonance. Series B.

[12]  Roland G. Henry,et al.  Early laminar organization of the human cerebrum demonstrated with diffusion tensor imaging in extremely premature infants , 2004, NeuroImage.

[13]  Christos Davatzikos,et al.  Quantification of brain maturation and growth patterns in C57BL/6J mice via computational neuroanatomy of diffusion tensor images. , 2008, Cerebral cortex.

[14]  P A Narayana,et al.  Early postnatal development of rat brain: In vivo diffusion tensor imaging , 2008, Journal of neuroscience research.

[15]  S. Mori,et al.  Principles of Diffusion Tensor Imaging and Its Applications to Basic Neuroscience Research , 2006, Neuron.

[16]  Andrew K Knutsen,et al.  Regional patterns of cerebral cortical differentiation determined by diffusion tensor MRI. , 2009, Cerebral cortex.

[17]  P. L. Williams,et al.  Postvaccinial Perivenous Encephalitis , 1960, Neurology.

[18]  Dmitriy A Yablonskiy,et al.  Quantitative in vivo assessment of lung microstructure at the alveolar level with hyperpolarized 3He diffusion MRI , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[19]  G. Arfken,et al.  Mathematical methods for physicists 6th ed. , 1996 .

[20]  Bruce S. McEwen,et al.  Stress induces atrophy of apical dendrites of hippocampal CA3 pyramidal neurons , 1992, Brain Research.

[21]  Mary A. Rutherford,et al.  Diffusion tensor imaging with tract-based spatial statistics reveals local white matter abnormalities in preterm infants , 2007, NeuroImage.

[22]  Alan Connelly,et al.  Direct estimation of the fiber orientation density function from diffusion-weighted MRI data using spherical deconvolution , 2004, NeuroImage.

[23]  Denis Le Bihan,et al.  Looking into the functional architecture of the brain with diffusion MRI , 2003, Nature Reviews Neuroscience.

[24]  P. Basser,et al.  Axcaliber: A method for measuring axon diameter distribution from diffusion MRI , 2008, Magnetic resonance in medicine.

[25]  Division on Earth Guide for the Care and Use of Laboratory Animals , 1996 .

[26]  Susumu Mori,et al.  Quantitative Cortical Mapping of Fractional Anisotropy in Developing Rat Brains , 2008, The Journal of Neuroscience.

[27]  G. Arfken Mathematical Methods for Physicists , 1967 .

[28]  A. McAllister,et al.  Cellular and molecular mechanisms of dendrite growth. , 2000, Cerebral cortex.

[29]  Gilles Bertrand,et al.  A new characterization of three-dimensional simple points , 1994, Pattern Recognition Letters.

[30]  A. Dale,et al.  Quantitative Histological Validation of Diffusion MRI Fiber Orientation Distributions in the Rat Brain , 2010, PloS one.

[31]  D. Yablonskiy,et al.  On the nature of the NAA diffusion attenuated MR signal in the central nervous system , 2004, Magnetic resonance in medicine.

[32]  Gilles Bertrand,et al.  A Boolean characterization of three-dimensional simple points , 1996, Pattern Recognition Letters.

[33]  J. Helpern,et al.  Neuropsychiatric applications of DTI – a review , 2002, NMR in biomedicine.

[34]  Noriyuki Kishi,et al.  MECP2 is progressively expressed in post-migratory neurons and is involved in neuronal maturation rather than cell fate decisions , 2004, Molecular and Cellular Neuroscience.

[35]  A. Connelly,et al.  Anisotropic noise propagation in diffusion tensor MRI sampling schemes , 2003, Magnetic resonance in medicine.

[36]  P. Rakić,et al.  Tempo of neurogenesis and synaptogenesis in the primate cingulate mesocortex: Comparison with the neocortex , 1995, The Journal of comparative neurology.

[37]  J S Thornton,et al.  Anisotropic water diffusion in white and gray matter of the neonatal piglet brain before and after transient hypoxia-ischaemia. , 1997, Magnetic resonance imaging.

[38]  P. Basser,et al.  New modeling and experimental framework to characterize hindered and restricted water diffusion in brain white matter , 2004, Magnetic resonance in medicine.

[39]  J. Helpern,et al.  Diffusional kurtosis imaging: The quantification of non‐gaussian water diffusion by means of magnetic resonance imaging , 2005, Magnetic resonance in medicine.

[40]  Ponnada A. Narayana,et al.  Region-specific maturation of cerebral cortex in human fetal brain: diffusion tensor imaging and histology , 2009, Neuroradiology.

[41]  Alan Boyde,et al.  Stereoscopic and biplanar microphotography of Golgi-impregnated neurons: a correlative study using conventional and real-time, direct-image confocal microscopies , 1995, Journal of Neuroscience Methods.

[42]  Michael W. Miller,et al.  Numbers of neurons and glia in mature rat somatosensory cortex: Effects of prenatal exposure to ethanol , 1990, The Journal of comparative neurology.

[43]  Hui Zhang,et al.  Axon diameter mapping in the presence of orientation dispersion with diffusion MRI , 2011, NeuroImage.

[44]  A. Sorensen,et al.  Diffusion tensor imaging as potential biomarker of white matter injury in diffuse axonal injury. , 2004, AJNR. American journal of neuroradiology.

[45]  David C. Van Essen,et al.  Application of Information Technology: An Integrated Software Suite for Surface-based Analyses of Cerebral Cortex , 2001, J. Am. Medical Informatics Assoc..

[46]  M. Mallar Chakravarty,et al.  Neurite density from magnetic resonance diffusion measurements at ultrahigh field: Comparison with light microscopy and electron microscopy , 2010, NeuroImage.

[47]  Michael D. Kim,et al.  Mechanisms that regulate establishment, maintenance, and remodeling of dendritic fields. , 2007, Annual review of neuroscience.

[48]  D. V. van Essen,et al.  Microstructural Changes of the Baboon Cerebral Cortex during Gestational Development Reflected in Magnetic Resonance Imaging Diffusion Anisotropy , 2007, The Journal of Neuroscience.

[49]  Timothy Edward John Behrens,et al.  High resolution diffusion-weighted imaging in fixed human brain using diffusion-weighted steady state free precession , 2009, NeuroImage.

[50]  Baba C. Vemuri,et al.  Resolution of complex tissue microarchitecture using the diffusion orientation transform (DOT) , 2006, NeuroImage.

[51]  Milton Abramowitz,et al.  Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .

[52]  S. Umeyama,et al.  Least-Squares Estimation of Transformation Parameters Between Two Point Patterns , 1991, IEEE Trans. Pattern Anal. Mach. Intell..

[53]  Leif Østergaard,et al.  Modeling dendrite density from magnetic resonance diffusion measurements , 2007, NeuroImage.

[54]  Christopher D. Kroenke,et al.  A Comparative Analysis of Cellular Morphological Differentiation Within the Cerebral Cortex Using Diffusion Tensor Imaging , 2011 .

[55]  C. Beaulieu,et al.  The basis of anisotropic water diffusion in the nervous system – a technical review , 2002, NMR in biomedicine.

[56]  Andrew K Knutsen,et al.  Characterization of Brain Development in the Ferret via MRI , 2009, Pediatric Research.

[57]  Hua Jin,et al.  Comparing microstructural and macrostructural development of the cerebral cortex in premature newborns: Diffusion tensor imaging versus cortical gyration , 2005, NeuroImage.

[58]  V. Menon,et al.  White matter development during childhood and adolescence: a cross-sectional diffusion tensor imaging study. , 2005, Cerebral cortex.

[59]  Nicholas I. Fisher,et al.  Statistical Analysis of Spherical Data. , 1987 .

[60]  P. Hagmann,et al.  Mapping complex tissue architecture with diffusion spectrum magnetic resonance imaging , 2005, Magnetic resonance in medicine.

[61]  Baba C. Vemuri,et al.  A novel tensor distribution model for the diffusion-weighted MR signal , 2007, NeuroImage.

[62]  Attila Kuba,et al.  A Sequential 3D Thinning Algorithm and Its Medical Applications , 2001, IPMI.

[63]  D. Owen Handbook of Mathematical Functions with Formulas , 1965 .

[64]  S. Walkley,et al.  Ferret pyramidal cell dendritogenesis: Changes in morphology and ganglioside expression during cortical development , 1999, The Journal of comparative neurology.

[65]  Paul M. Thompson,et al.  The tensor distribution function , 2008, 2008 5th IEEE International Symposium on Biomedical Imaging: From Nano to Macro.

[66]  P. Basser,et al.  Microstructural and physiological features of tissues elucidated by quantitative-diffusion-tensor MRI. , 1996, Journal of magnetic resonance. Series B.

[67]  Xin-She Yang,et al.  Introduction to Algorithms , 2021, Nature-Inspired Optimization Algorithms.

[68]  A. Snyder,et al.  Quantitative diffusion-tensor anisotropy brain MR imaging: normative human data and anatomic analysis. , 1999, Radiology.

[69]  P. Rakic A small step for the cell, a giant leap for mankind: a hypothesis of neocortical expansion during evolution , 1995, Trends in Neurosciences.

[70]  Mariano Rivera,et al.  Diffusion Basis Functions Decomposition for Estimating White Matter Intravoxel Fiber Geometry , 2007, IEEE Transactions on Medical Imaging.

[71]  Alan Connelly,et al.  Robust determination of the fibre orientation distribution in diffusion MRI: Non-negativity constrained super-resolved spherical deconvolution , 2007, NeuroImage.

[72]  A. Dale,et al.  Age‐Related Changes in Prefrontal White Matter Measured by Diffusion Tensor Imaging , 2005, Annals of the New York Academy of Sciences.

[73]  J. Olavarria,et al.  Frontiers in Systems Neuroscience Systems Neuroscience , 2022 .

[74]  Jacopo Annese,et al.  20 – Postmortem Anatomy , 2002 .

[75]  Jean-Marie Bonny,et al.  In vivo analysis of the post‐natal development of normal mouse brain by DTI , 2007, NMR in biomedicine.

[76]  A. Snyder,et al.  Normal brain in human newborns: apparent diffusion coefficient and diffusion anisotropy measured by using diffusion tensor MR imaging. , 1998, Radiology.

[77]  D. Davies,et al.  A Golgi study of mouse hippocampal CA1 pyramidal neurons following perinatal ethanol exposure , 1981, Neuroscience Letters.

[78]  V. Wedeen,et al.  Diffusion MRI of Complex Neural Architecture , 2003, Neuron.