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Surface-Based Vector Analysis Using Heat Equation Interpolation: A New Approach to Quantify Local Hippocampal Volume Changes [chapter]

Hosung Kim, Pierre Besson, Olivier Colliot, Andrea Bernasconi, Neda Bernasconi
2008 Lecture Notes in Computer Science  
We propose a new approach to quantify local volume changes by computing the surface-based Jacobian determinant.  ...  Analysis of surface-based displacement vectors using spherical harmonic description (SPHARM) localizes shape changes accurately.  ...  Finally, we compute the surface-based Jacobian determinant from the displacement vector fields to quantify local volume changes.  ... 
doi:10.1007/978-3-540-85988-8_120 fatcat:ikuijaill5ajncgeuncucnkn7a

Vertex-Wise Shape Analysis of the Hippocampus: Disentangling Positional Differences from Volume Changes [chapter]

Hosung Kim, Tommaso Mansi, Andrea Bernasconi, Neda Bernasconi
2011 Lecture Notes in Computer Science  
Then, we computed surface-based Jacobian determinants (SJD) from these vectors to localize volume changes.  ...  Hippocampal atrophy and developmental positional variants may cooccur in various neurological disorders. We propose a surface-based framework to analyze independently volume and positioning.  ...  Briefly, we apply the heat equation to interpolate the vertex-wise displacement vectors within the volume domain enclosed by the surface boundary.  ... 
doi:10.1007/978-3-642-23629-7_43 fatcat:jfx3xjvwobcbpdv4vs2fym4owy

Hippocampal Substructural Vulnerability to Sleep Disturbance and Cognitive Impairment in Patients with Chronic Primary Insomnia: Magnetic Resonance Imaging Morphometry

Eun Yeon Joo, Hosung Kim, Sooyeon Suh, Seung Bong Hong
2014 Sleep  
Our aim was to investigate the pattern of volume changes across hippocampal subfields in patients with primary insomnia relative to controls.  ...  N/A. We compared hippocampal subfield volumes between patients and controls and correlated volume with clinical and neuropsychological features in patients.  ...  by the surface using a heat equation, yielding a displacement vector fi eld.  ... 
doi:10.5665/sleep.3836 pmid:25061247 pmcid:PMC4098804 fatcat:kq5nod633zayrmahgqxrhptsvi

Regional flux analysis for discovering and quantifying anatomical changes: An application to the brain morphometry in Alzheimer's disease

M. Lorenzi, N. Ayache, X. Pennec
2015 NeuroImage  
NeuroImage, Elsevier, 2015, 115, pp.Abstract In this study we introduce the regional flux analysis, a novel approach to deformation based morphometry based on the Helmholtz decomposition of deformations  ...  These regions are used to consistently quantify the associated measure of volume change by the probabilistic integration of the flux of the longitudinal deformations across the boundaries.  ...  For up-to-date information, see [1] G.B. Arfken, H.J. Weber, Mathematical Methods for Physicists, Academic Press: San Diego, 1995.  ... 
doi:10.1016/j.neuroimage.2015.04.051 pmid:25963734 fatcat:x2fbf6tvbfexjmjcttnl2rh26i

Towards a Holistic Cortical Thickness Descriptor: Heat Kernel-Based Grey Matter Morphology Signatures

Gang Wang, Yalin Wang
2017 NeuroImage  
In order to capture profound brain grey matter shape changes, we first use the volumetric Laplace-Beltrami operator to determine the point pair correspondence between white-grey matter and CSF-grey matter  ...  boundary surfaces by computing the streamlines in a tetrahedral mesh.  ...  Acknowledgments The authors would like to thank Jie Shi of Arizona State University for preparation of Fig. 19 .  ... 
doi:10.1016/j.neuroimage.2016.12.014 pmid:28033566 pmcid:PMC5303630 fatcat:6fnjnd2qhvdv3gh53rnt7egite

The emerging discipline of Computational Functional Anatomy

Michael I. Miller, Anqi Qiu
2009 NeuroImage  
We review advances in the unification of the bijective comparison of anatomical submanifolds via point-sets including points, curves and surface triangulations as well as dense imagery.  ...  Acknowledgments The authors would like to acknowledge NIH (P50-MH071616, R01-MH60883, R01-MH056584, P01-AG03991, P50-AG05681, R01-AG05684, P41-RR15241, R01-AG025824, R01-MH064838, R01-EB00975, P50-MH071616  ...  The second approach is to directly perform principal component analysis (PCA) thereby generating the "principal components" which describe anatomical variation with respect to a privileged CON base.  ... 
doi:10.1016/j.neuroimage.2008.10.044 pmid:19103297 pmcid:PMC2839904 fatcat:xv4fognxc5e6ziu3sedwc37p6u

Statistical Analysis on Brain Surfaces [article]

Moo K. Chung, Jamie L. Hanson, Seth D. Pollak
2022 arXiv   pre-print
To increase the signal-to-noise ratio (SNR) and to boost the sensitivity of the analysis, it is necessary to smooth out noisy surface data.  ...  In this paper, we review widely used statistical analysis frameworks for data defined along cortical and subcortical surfaces that have been developed in last two decades.  ...  Therefore, the statistical analysis based on the local volume change is at least twice more sensitive compared to that of the local surface area change.  ... 
arXiv:2203.06665v1 fatcat:nsf2lcqs2fdxxadnor7fcqnvsq

Developing Univariate Neurodegeneration Biomarkers with Low-Rank and Sparse Subspace Decomposition

Gang Wang, Qunxi Dong, Jianfeng Wu, Yi Su, Kewei Chen, Qingtang Su, Xiaofeng Zhang, Jinguang Hao, Tao Yao, Li Liu, Caiming Zhang, Richard J. Caselli (+2 others)
2020 Medical Image Analysis  
We use hippocampal surface radial distance feature to compute the UMIs and validate our work in the Alzheimer's Disease Neuroimaging Initiative (ADNI) cohort.  ...  Our experimental results outperform traditional hippocampal volume measures and suggest the application of UMI as a potential UNB.  ...  Similar to prior approaches that used hippocampal volume for AD diagnosis, (e.g.  ... 
doi:10.1016/ pmid:33166772 pmcid:PMC7725891 fatcat:qbzguxhhz5fzrgrkmd2utf5lc4

Optimal Mass Transport with Lagrangian Workflow Reveals Advective and Diffusion Driven Solute Transport in the Glymphatic System

Sunil Kounda, Rena Elkin, Saad Nadeem, Yuechuan Xue, Stefan Constantinou, Simon Sanggaard, Xiaodan Liu, Brittany Monte, Feng Xu, William Van Nostrand, Maiken Nedergaard, Hedok Lee (+3 others)
2020 Scientific Reports  
To address this controversy, we implemented a regularized version of the optimal mass transport (rOMT) problem, wherein the advection/diffusion equation is the only a priori assumption required. rOMT analysis  ...  Future studies should apply the rOMT analysis approach to confirm GS transport reductions in humans with cSVD.  ...  approach for local insight.  ... 
doi:10.1038/s41598-020-59045-9 pmid:32029859 pmcid:PMC7004986 fatcat:uxarxicocvhq7bx7f27qoocn3u

Hippocampal morphology and cytoarchitecture in the 3D BigBrain [article]

J. DeKraker, J.C. Lau, K.M. Ferko, A.R. Khan, S. Köhler
2019 bioRxiv   pre-print
Overall these findings offer quantifiable markers of hippocampal subfields, and provide new anatomical insight into the topology and properties of hippocampal tissue.  ...  AbstractThe internal architecture of the hippocampus is challenging to map in detail using traditional histology and in-vivo neuroimaging.  ...  Acknowledgements We would also like to thank Dr. Alan Evans, Dr. Katrin Amunts, and all contributors to project 3D BigBrain for developing and releasing this invaluable resource.  ... 
doi:10.1101/599571 fatcat:vybusavesfek7mqs4vyecmiyri

Studying ventricular abnormalities in mild cognitive impairment with hyperbolic Ricci flow and tensor-based morphometry

Jie Shi, Cynthia M. Stonnington, Paul M. Thompson, Kewei Chen, Boris Gutman, Cole Reschke, Leslie C. Baxter, Eric M. Reiman, Richard J. Caselli, Yalin Wang
2015 NeuroImage  
This novel ventricular morphometry method may offer a new and more sensitive approach to study preclinical and early symptomatic stage AD.  ...  Although the combined ventricular area and volume features did not differ between the two groups, our fine-grained surface analysis revealed significant differences in the ventricular regions close to  ...  In brain imaging, a surface-based morphometry analysis approach is to set up parametric grids on surfaces, and then use differential geometry to come up with useful descriptors of surface features of interest  ... 
doi:10.1016/j.neuroimage.2014.09.062 pmid:25285374 pmcid:PMC4252650 fatcat:35wpd2c4dnfsxjdpp3ogf2f3pa

Novel measures of Morris water maze performance that use vector field maps to assess accuracy, uncertainty, and intention of navigational searches [article]

Meenakshi Prabod Kumar, Dhruv Mehrotra, Nruythyathi Nruythyathi, Daniel Almeida-Filho, Yong-Seok Lee, Alcino J. Silva, Balaji Jayaprakash
2021 biorxiv/medrxiv   pre-print
Here, we describe novel measures of performance in the MWM that use vector fields to capture the motion of mice as well as their search pattern in the maze.  ...  First, we describe search patterns in terms of vector field properties and use these properties to define three metrics of spatial memory namely Spatial Accuracy, Uncertainty and, Intensity of Search.  ...  Hyun-Hee Ryu for AAV vector construction. We also thank Prof. Chandra Murthy, IISc for reading through the manuscript and providing his valuable comments on the manuscript.  ... 
doi:10.1101/2021.07.04.451032 fatcat:3g3zht7lqjfwtctoipt4tq2lru

Glymphatic Optimal Mass Transport with Lagrangian Workflow Reveals Advective and Diffusion Driven Solute Transport [article]

Sunil Koundal, Rena Elkin, Saad Nadeem, Yuechuan Xue, Stefan Constantinou, Simon Sanggaard, Xiaodan Liu, Brittany Monte, Feng Xu, William Van Nostrand, Maiken Nedergaard, Hedok Lee (+3 others)
2019 bioRxiv   pre-print
To address this controversy, we implemented a regularized version of the optimal mass transport (rOMT) problem, wherein the advection/diffusion equation is the only a priori assumption required. rOMT analysis  ...  with a Lagrangian perspective of glymphatic system (GS) transport revealed that solute speed was faster in cerebrospinal fluid (CSF) compared to grey and white matter. rOMT analysis also demonstrated  ...  Body temperature was kept within a range of 36.5 o C~37.5 o C using a heated waterbed.  ... 
doi:10.1101/765370 fatcat:rjk67svtcvgcvby2qxb745epq4

Modeling & Analysis

2003 NeuroImage  
A new method is developed using Kalman filters to quantify the interaction between regions of a neural network with functional MRI data.  ...  Here we apply two different statistical approaches to the analysis of functional volumes.  ...  Previous hippocampal shape studies often use volumetric representations [2,3]. We feel that surface-based techniques are more appropriate, since the surface of an object actually defines its shape.  ... 
doi:10.1016/s1053-8119(05)70006-9 fatcat:zff2suxcofbxvetfrwfwcxi3zm

Detection of shape deformities using Yamabe flow and Beltrami coefficients

Shing Yau, Tony Chan, Paul Thompson, Xianfeng Gu, Wei Zeng, Tsz Wong, Lok Lui
2010 Inverse Problems and Imaging  
We firstly flatten the 3D surfaces conformally onto 2D rectangles using the discrete Yamabe flow and use them to compute a quasi-conformal map that matches internal features lying within the surfaces.  ...  Furthermore, by considering the argument of the Beltrami coefficient, we can capture abnormalities induced by local rotational changes.  ...  [9] [8] proposed to match hippocampal surfaces by finding maps minimizing the deviation from isometry under the constraints of piecewise deformation homogeneity, with local asymmetry quantified.  ... 
doi:10.3934/ipi.2010.4.311 fatcat:hemirbr44ndhfhjggpu5npxsm4
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