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The study of spectral graph determination is a fascinating area of research in spectral graph theory and algebraic combinatorics. This field focuses on examining the spectral characterization of various classes of graphs, developing methods…

Combinatorics · Mathematics 2025-04-14 Igal Sason , Noam Krupnik , Suleiman Hamud , Abraham Berman

Complex networks or graphs are ubiquitous in sciences and engineering: biological networks, brain networks, transportation networks, social networks, and the World Wide Web, to name a few. Spectral graph theory provides a set of useful…

Statistics Theory · Mathematics 2019-01-23 Subhadeep Mukhopadhyay , Kaijun Wang

We present a hybrid method that performs the complete parcellation of the cerebral cortex of an individual, based on the connectivity information of the white matter fibers from a whole-brain tractography dataset. The method consists of…

Neurons and Cognition · Quantitative Biology 2020-02-24 Narciso López-López , Andrea Vázquez , Cyril Poupon , Jean-François Mangin , Pamela Guevara

The field of computational modeling of the brain is advancing so rapidly that now it is possible to model large scale networks representing different brain regions with a high level of biological detail in terms of numbers and synapses. For…

Neuromorphology is crucial to identifying neuronal subtypes and understanding learning. It is also implicated in neurological disease. However, standard morphological analysis focuses on macroscopic features such as branching frequency and…

Neurons and Cognition · Quantitative Biology 2022-03-10 Thomas L. Athey , Jacopo Teneggi , Joshua T. Vogelstein , Daniel Tward , Ulrich Mueller , Michael I. Miller

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

A surface-based diffeomorphic algorithm to generate 3D coordinate grids in the cortical ribbon is described. In the grid, normal coordinate lines are generated by the diffeomorphic evolution from the grey/white (inner) surface to the…

Computer Vision and Pattern Recognition · Computer Science 2019-07-16 J. Tilak Ratnanather , Sylvain Arguillère , Kwame S. Kutten , Peter Hubka , Andrej Kral , Laurent Younes

The brain transforms visual inputs into high-dimensional cortical representations that support diverse cognitive and behavioral goals. Characterizing how this information is organized and routed across the human brain is essential for…

Neurons and Cognition · Quantitative Biology 2026-05-15 Pablo Marcos-Manchón , Lluís Fuentemilla

Graph theory has drawn a lot of attention in the field of Neuroscience during the last decade, mainly due to the abundance of tools that it provides to explore the interactions of elements in a complex network like the brain. The local and…

Neurons and Cognition · Quantitative Biology 2016-11-16 Sofia Ira Ktena , Sarah Parisot , Jonathan Passerat-Palmbach , Daniel Rueckert

Surface-based analysis of the cerebral cortex is ubiquitous in human neuroimaging with MRI. It is crucial for cortical registration, parcellation, and thickness estimation. Traditionally, these analyses require high-resolution, isotropic…

Image and Video Processing · Electrical Eng. & Systems 2024-09-09 Karthik Gopinath , Douglas N. Greve , Colin Magdamo , Steve Arnold , Sudeshna Das , Oula Puonti , Juan Eugenio Iglesias

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

The surface morphology of the developing mammalian brain is crucial for understanding brain function and dysfunction. Computational modeling offers valuable insights into the underlying mechanisms for early brain folding. Recent findings…

Neurons and Cognition · Quantitative Biology 2024-09-06 Jixin Hou , Zhengwang Wu , Xianyan Chen , Li Wang , Dajiang Zhu , Tianming Liu , Gang Li , Xianqiao Wang

Studying the cellular architecture of the human cerebral cortex is critical for understanding brain organization and function. It requires investigating complex texture patterns in histological images, yet automatic methods that scale…

Neurons and Cognition · Quantitative Biology 2026-03-06 Christian Schiffer , Zeynep Boztoprak , Jan-Oliver Kropp , Julia Thönnißen , Katia Berr , Hannah Spitzer , Katrin Amunts , Timo Dickscheid

In studying structural inter-connections in the human brain, it is common to first estimate fiber bundles connecting different regions of the brain relying on diffusion MRI. These fiber bundles act as highways for neural activity and…

Applications · Statistics 2016-12-06 Zhengwu Zhang , Maxime Descoteaux , David B. Dunson

Understanding the common topological characteristics of the human brain network across a population is central to understanding brain functions. The abstraction of human connectome as a graph has been pivotal in gaining insights on the…

Quantitative Methods · Quantitative Biology 2023-04-26 Soumya Das , D. Vijay Anand , Moo K. Chung

Structural covariance analysis is a widely used structural MRI analysis method which characterises the co-relations of morphology between brain regions over a group of subjects. To our knowledge, little has been investigated in terms of the…

Neurons and Cognition · Quantitative Biology 2020-06-01 Jona Carmon , Jil Heege , Joe H Necus , Thomas W Owen , Gordon Pipa , Marcus Kaiser , Peter N Taylor , Yujiang Wang

While it is still not possible to describe the neural-level connections of the human brain, we can map the human connectome with several hundred vertices, by the application of diffusion-MRI based techniques. In these graphs, the nodes…

Neurons and Cognition · Quantitative Biology 2020-09-09 Mate Fellner , Balint Varga , Vince Grolmusz

Cortical folding exhibits substantial inter-individual variability while preserving stable anatomical landmarks that enable fine-scale characterization of cortical organization. Among these, the three-hinge gyrus (3HG) serves as a key…

Neurons and Cognition · Quantitative Biology 2026-02-03 Minheng Chen , Tong Chen , Yan Zhuang , Chao Cao , Jing Zhang , Tianming Liu , Lu Zhang , Dajiang Zhu

Brain decoding is a popular multivariate approach for hypothesis testing in neuroimaging. It is well known that the brain maps derived from weights of linear classifiers are hard to interpret because of high correlations between predictors,…

Machine Learning · Statistics 2016-03-30 Seyed Mostafa Kia

Many longitudinal neuroimaging studies aim to improve the understanding of brain aging and diseases by studying the dynamic interactions between brain function and cognition. Doing so requires accurate encoding of their multidimensional…

Computer Vision and Pattern Recognition · Computer Science 2024-09-24 Yixin Wang , Wei Peng , Yu Zhang , Ehsan Adeli , Qingyu Zhao , Kilian M. Pohl