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Brain morphology is shaped by genetic and mechanical factors and is linked to biological development and diseases. Its fractal-like features, regional anisotropy, and complex curvature distributions hinder quantitative insights in medical…

Neurons and Cognition · Quantitative Biology 2025-09-09 Yingjie Zhao , Yicheng Song , Fan Xu , Zhiping Xu

Computational biomechanics of the brain for neurosurgery is an emerging area of research recently gaining in importance and practical applications. This review paper presents the contributions of the Intelligent Systems for Medicine…

Computational Engineering, Finance, and Science · Computer Science 2019-04-03 K. Miller , G. R. Joldes , G. Bourantas , S. K. Warfield , D. E. Hyde , R. Kikinis , A. Wittek

Despite differences in brain sizes and cognitive niches among mammals, their cerebral cortices posses many common features and regularities. These regularities have been a subject of experimental investigation in neuroanatomy for the last…

Neurons and Cognition · Quantitative Biology 2007-05-23 Jan Karbowski

Cortical folding reflects coordinated neurodevelopmental processes and provides a sensitive marker of neurological disease. In juvenile myoclonic epilepsy (JME), structural abnormalities are subtle and spatially distributed, limiting the…

Neurons and Cognition · Quantitative Biology 2026-04-21 Moo K. Chung , Luigi Maccotta , Aaron Struck

The fetal cortical plate undergoes drastic morphological changes throughout early in utero development that can be observed using magnetic resonance (MR) imaging. An accurate MR image segmentation, and more importantly a topologically…

Image and Video Processing · Electrical Eng. & Systems 2024-10-30 Priscille de Dumast , Hamza Kebiri , Chirine Atat , Vincent Dunet , Mériam Koob , Meritxell Bach Cuadra

Understanding the dynamics of brain tumor progression is essential for optimal treatment planning. Cast in a mathematical formulation, it is typically viewed as evaluation of a system of partial differential equations, wherein the…

Quantitative Methods · Quantitative Biology 2020-01-13 Ivan Ezhov , Jana Lipkova , Suprosanna Shit , Florian Kofler , Nore Collomb , Benjamin Lemasson , Emmanuel Barbier , Bjoern Menze

We model the elasticity of the cerebral cortex as a layered material with bending energy along the layers and elastic energy between them in both planar and polar geometries. The cortex is also subjected to axons pulling from the underlying…

Soft Condensed Matter · Physics 2016-02-09 O. V. Manyuhina , David Mayett , J. M. Schwarz

Neurodegenerative diseases are characterized by the accumulation of misfolded proteins and widespread disruptions in brain function. Computational modeling has advanced our understanding of these processes, but efforts have traditionally…

There is increasing evidence on the importance of brain morphology in predicting and classifying mental disorders. However, the vast majority of current shape approaches rely heavily on vertex-wise analysis that may not successfully capture…

Computer Vision and Pattern Recognition · Computer Science 2021-05-26 Yuexuan Wu , Suprateek Kundu , Jennifer S. Stevens , Negar Fani , Anuj Srivastava

Aging associated brain decline often result in some kind of dementia. Even when this is a complex brain disorder a physical model can be used in order to describe its general behavior. This model is based in first principles. A…

Neurons and Cognition · Quantitative Biology 2016-07-22 Oscar Sotolongo-Costa , L. M. Gaggero-Sager , J. T. Becker , F. Maestú , O. Sotolongo-Grau

We propose a two-scale model to resolve essential features of developmental tissue deformations. The model couples individual cellular behavior to the mechanics at tissue scale. This is realized by a multiphase-field model addressing the…

Soft Condensed Matter · Physics 2025-06-25 Lea Happel , Axel Voigt

Motion-related artifacts are inevitable in Magnetic Resonance Imaging (MRI) and can bias automated neuroanatomical metrics such as cortical thickness. These biases can interfere with statistical analysis which is a major concern as motion…

Image and Video Processing · Electrical Eng. & Systems 2025-06-11 Charles Bricout , Samira Ebrahimi Kahou , Sylvain Bouix

Representing 3D shape deformations by linear models in high-dimensional space has many applications in computer vision and medical imaging, such as shape-based interpolation or segmentation. Commonly, using Principal Components Analysis a…

Computer Vision and Pattern Recognition · Computer Science 2016-05-12 Florian Bernard , Peter Gemmar , Frank Hertel , Jorge Goncalves , Johan Thunberg

Anatomical connectivity imposes strong constraints on brain function, but there is no general agreement about principles that govern its organization. Based on extensive quantitative data we tested the power of three models to predict…

Neurons and Cognition · Quantitative Biology 2016-05-31 Sarah F. Beul , Helen Barbas , Claus C. Hilgetag

We propose a framework for jointly modeling the geometry and functionality in high dimensional functional surfaces. The proposed mixed effects model characterizes effects of subject-specific covariates and exogenous stimuli on functional…

Applications · Statistics 2023-02-10 Jingjing Zou , Chi-Hua Chen , John A. D. Aston

Exploring the developing brain is a major issue in understanding what enables children to acquire amazing abilities, and how early disruptions can lead to a wide range of neurodevelopmental disorders. MRI plays a key role here by providing…

Neurons and Cognition · Quantitative Biology 2024-01-01 Jessica Dubois

It is essential to understand the complex structure of the human brain to develop new treatment approaches for neurodegenerative disorders (NDDs). This review paper comprehensively discusses the challenges associated with modelling the…

Neurons and Cognition · Quantitative Biology 2024-11-01 Hina Shaheen , Roderick Melnik

Surface analysis of the cortex is ubiquitous in human neuroimaging with MRI, e.g., for cortical registration, parcellation, or thickness estimation. The convoluted cortical geometry requires isotropic scans (e.g., 1mm MPRAGEs) and good…

Image and Video Processing · Electrical Eng. & Systems 2023-05-04 Karthik Gopinath , Douglas N. Greve , Sudeshna Das , Steve Arnold , Colin Magdamo , Juan Eugenio Iglesias

Longitudinal magnetic resonance imaging data is used to model trajectories of change in brain regions of interest to identify areas susceptible to atrophy in those with neurodegenerative conditions like Alzheimer's disease. Most methods for…

Applications · Statistics 2024-07-25 Robert Zielinski , Kun Meng , Ani Eloyan

The universal scaling law of cortical morphology describes cortical folding as the covariance of average grey matter thickness, pial surface area, and exposed surface area. It applies for mammalian species, humans, and across lobes, however…

Neurons and Cognition · Quantitative Biology 2021-03-29 Karoline Leiberg , Christoforos Papasavvas , Yujiang Wang