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Advances in imaging techniques enable high resolution 3D visualisation of vascular networks over time and reveal abnormal structural features such as twists and loops, and their quantification is an active area of research. Here we showcase…

Understanding how the spatial structure of blood vessel networks relates to their function in healthy and abnormal biological tissues could improve diagnosis and treatment for diseases such as cancer. New imaging techniques can generate…

Quantitative Methods · Quantitative Biology 2019-07-23 Helen M Byrne , Heather A Harrington , Ruth Muschel , Gesine Reinert , Bernadette J Stolz , Ulrike Tillmann

One of the essential tasks in connectomics is the morphology analysis of neurons and organelles like mitochondria to shed light on their biological properties. However, these biological objects often have tangled parts or complex branching…

Computer Vision and Pattern Recognition · Computer Science 2020-04-22 Abhimanyu Talwar , Zudi Lin , Donglai Wei , Yuesong Wu , Bowen Zheng , Jinglin Zhao , Won-Dong Jang , Xueying Wang , Jeff W. Lichtman , Hanspeter Pfister

The network architecture of the human brain has become a feature of increasing interest to the neuroscientific community, largely because of its potential to illuminate human cognition, its variation over development and aging, and its…

Neurons and Cognition · Quantitative Biology 2016-11-07 Richard F. Betzel , Danielle S. Bassett

We consider the problem of finding an accurate representation of neuron shapes, extracting sub-cellular features, and classifying neurons based on neuron shapes. In neuroscience research, the skeleton representation is often used as a…

Computer Vision and Pattern Recognition · Computer Science 2022-12-15 Jiaxiang Jiang , Michael Goebel , Cezar Borba , William Smith , B. S. Manjunath

High-throughput methods for yielding the set of connections in a neural system, the connectome, are now being developed. This tutorial describes ways to analyze the topological and spatial organization of the connectome at the macroscopic…

Neurons and Cognition · Quantitative Biology 2011-12-23 Marcus Kaiser

Biological neural networks define the brain function and intelligence of humans and other mammals, and form ultra-large, spatial, structured graphs. Their neuronal organization is closely interconnected with the spatial organization of the…

Various structures in human physiology follow a treelike morphology, which often expresses complexity at very fine scales. Examples of such structures are intrathoracic airways, retinal blood vessels, and hepatic blood vessels. Large…

Image and Video Processing · Electrical Eng. & Systems 2022-09-23 Hao Li , Zeyu Tang , Yang Nan , Guang Yang

Blood vessel networks in the brain play a crucial role in stroke research, where understanding their topology is essential for analyzing blood flow dynamics. However, extracting detailed topological vessel network information from…

Computer Vision and Pattern Recognition · Computer Science 2025-04-17 Joël Mathys , Andreas Plesner , Jorel Elmiger , Roger Wattenhofer

Understanding the structure of the brain, and how it changes with time and disease, is a core goal of structural neuroimaging. Contemporary approaches to structural brain analysis are dominated by voxel-wise, mass-univariate methods such as…

Algebraic Topology · Mathematics 2026-04-28 Donato Quiccione , Mariam Pirashvili , Nathan Broomhead , Sean J. Fallon

Recently developed methods for rapid continuous volumetric two-photon microscopy facilitate the observation of neuronal activity in hundreds of individual neurons and changes in blood flow in adjacent blood vessels across a large volume of…

Image and Video Processing · Electrical Eng. & Systems 2020-01-16 Shir Gur , Lior Wolf , Lior Golgher , Pablo Blinder

The human brain forms functional networks on all spatial scales. Modern fMRI scanners allow to resolve functional brain data in high resolutions, allowing to study large-scale networks that relate to cognitive processes. The analysis of…

Neurons and Cognition · Quantitative Biology 2019-05-14 Melanie Weber , Johannes Stelzer , Emil Saucan , Alexander Naitsat , Gabriele Lohmann , Jürgen Jost

Segmentation is often an essential intermediate step in image analysis. A volume segmentation characterizes the underlying volume image in terms of geometric information--segments, faces between segments, curves in which several faces…

Computational Geometry · Computer Science 2010-10-01 Bjoern Andres , Ullrich Koethe , Thorben Kroeger , Fred A. Hamprecht

The mechanical properties of brain tissue play a pivotal role in neurodevelopment and neurological disorders. Yet, at present, there is no consensus on how the different structural parts of the tissue contribute to its stiffness variations.…

Biological Physics · Physics 2018-02-08 Nelda Antonovaite , Steven V. Beekmans , Elly M. Hol , Wytse J. Wadman , Davide Iannuzzi

We present a novel topological framework for analyzing functional brain signals using time-frequency analysis. By integrating persistent homology with time-frequency representations, we capture multi-scale topological features that…

Neurons and Cognition · Quantitative Biology 2025-04-23 Moo K. Chung , Aaron F. Struck

The health and function of tissue rely on its vasculature network to provide reliable blood perfusion. Volumetric imaging approaches, such as multiphoton microscopy, are able to generate detailed 3D images of blood vessels that could…

Computer Vision and Pattern Recognition · Computer Science 2019-06-19 Mohammad Haft-Javaherian , Linjing Fang , Victorine Muse , Chris B. Schaffer , Nozomi Nishimura , Mert R. Sabuncu

Topological data analyses are rapidly turning into key tools for quantifying large volumes of neurobiological data, e.g., for organizing the spiking outputs of large neuronal ensembles and thus gaining insights into the information produced…

Neurons and Cognition · Quantitative Biology 2019-09-18 Yuri Dabaghian

Recently, there has been increased interest in fusing multimodal imaging to better understand brain organization. Specifically, accounting for knowledge of anatomical pathways connecting brain regions should lead to desirable outcomes such…

Applications · Statistics 2018-03-02 Ixavier A. Higgins , Suprateek Kundu , Ying Guo

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

Seeking effective neural networks is a critical and practical field in deep learning. Besides designing the depth, type of convolution, normalization, and nonlinearities, the topological connectivity of neural networks is also important.…

Computer Vision and Pattern Recognition · Computer Science 2020-08-20 Kun Yuan , Quanquan Li , Jing Shao , Junjie Yan
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