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The mechanical properties of biological materials are spatially heterogeneous. Typical tissues are made up of a spanning fibrous extracellular matrix in which various inclusions, such as living cells, are embedded. While the influence of…

Soft Condensed Matter · Physics 2025-09-04 Jordan L. Shivers , Jingchen Feng , Fred C. MacKintosh

We study a material modeled as a network of nodes connected by edges. Using a discrete approach, we build a nonlinear algebraic system that connects applied forces to internal forces and node positions. The model can describe elasticity,…

Optimization and Control · Mathematics 2025-10-14 Ioannis Dassios

The network approach became a widely used tool to understand the behaviour of complex systems in the last decade. We start from a short description of structural rigidity theory. A detailed account on the combinatorial rigidity analysis of…

Biological Physics · Physics 2012-12-04 Merse E. Gaspar , Peter Csermely

Real complex networks are often characterized by spatial constraints such as the relative position and adjacency of nodes. The present work describes how Voronoi tessellations of the space where the network is embedded provide not only a…

Condensed Matter · Physics 2009-11-10 Luciano da Fontoura Costa

The exploration of the structural topology and the organizing principles of genome-based large-scale metabolic networks is essential for studying possible relations between structure and functionality of metabolic networks. Topological…

Molecular Networks · Quantitative Biology 2007-05-23 Jing Zhao , Hong Yu , Jian-Hua Luo , Zhi-Wei Cao , Yi-Xue Li

Accurate prediction of aortic expansion in uncomplicated type B aortic dissection (TBAD) can help identify patients who may benefit from timely thoracic endovascular aortic repair. This study investigates associations between biomechanical…

While the major white matter tracts are of great interest to numerous studies in neuroscience and medicine, their manual dissection in larger cohorts from diffusion MRI tractograms is time-consuming, requires expert knowledge and is hard to…

Computer Vision and Pattern Recognition · Computer Science 2018-06-15 Jakob Wasserthal , Peter F. Neher , Klaus H. Maier-Hein

We introduce a growing network model in which a new node attaches to a randomly-selected node, as well as to all ancestors of the target node. This mechanism produces a sparse, ultra-small network where the average node degree grows…

Statistical Mechanics · Physics 2009-11-10 P. L. Krapivsky , S. Redner

Systemic diseases such as diabetes, hypertension, atherosclerosis are among the leading causes of annual human mortality rate. It is suggested that retinal and conjunctival vascular tortuosity is a potential biomarker for such systemic…

Image and Video Processing · Electrical Eng. & Systems 2021-01-05 Ashwin De Silva , Malsha V. Perera , Navodini Wijethilake , Saroj Jayasinghe , Nuwan D. Nanayakkara , Anjula De Silva

The aim of this paper is to develop a multiscale hierarchical hybrid model based on finite element analysis and neural network computation to link mesoscopic scale (trabecular network level) and macroscopic (whole bone level) to simulate…

Medical Physics · Physics 2011-07-20 Ridha Hambli , Abdelwahed Barkaoui

Increasing amounts of data are available on temporal, or time-varying, networks. There have been various representations of temporal network data each of which has different advantages for downstream tasks such as mathematical analysis,…

Physics and Society · Physics 2025-05-09 Chanon Thongprayoon , Naoki Masuda

Normal mode analysis offers an efficient way of modeling the conformational flexibility of protein structures. Simple models defined by contact topology, known as elastic network models, have been used to model a variety of systems, but the…

Biomolecules · Quantitative Biology 2007-05-23 Dmitry A. Kondrashov , Adam W. Van Wynsberghe , Ryan M. Bannen , Qiang Cui , George N. Phillips

From the perspective of network analysis, the ubiquitous networks are comprised of regular and irregular components, which makes uncovering the complexity of network structures to be a fundamental challenge. Exploring the regular…

Social and Information Networks · Computer Science 2018-08-30 Tao Wu , Shaojie Qiao , Xingping Xian , Xi-Zhao Wang , Wei Wang , Yanbing Liu

Scientists have long sought to understand how vascular networks supply blood and oxygen to cells throughout the body. Recent work focuses on principles that constrain how vessel size changes through branching generations from the aorta to…

Tissues and Organs · Quantitative Biology 2015-09-10 Mitchell G Newberry , Daniel B Ennis , Van M Savage

The past decade has witnessed the development and success of coarse-grained network models of proteins for predicting many equilibrium properties related to collective modes of motion. Curiously, the results are usually robust towards the…

Molecular Networks · Quantitative Biology 2008-09-23 Canan Atilgan , Ibrahim Inanc , Ali Rana Atilgan

Porous structures such as trabecular bone are widely seen in nature. These structures exhibit superior mechanical properties whilst being lightweight. In this paper, we present a method to generate bone-like porous structures as lightweight…

Graphics · Computer Science 2018-05-01 Jun Wu , Niels Aage , Ruediger Westermann , Ole Sigmund

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

This work studies the limitations of uniquely identifying the structure (i.e., topology) of a networked linear system from partial measurements of its nodal dynamics. In general, many networks can be consistent with these measurements; this…

Systems and Control · Electrical Eng. & Systems 2026-03-13 Jaidev Gill , Jing Shuang Li

Filamentous bio-materials such as fibrin or collagen networks exhibit an enormous stiffening of their elastic moduli upon large deformations. This pronounced nonlinear behavior stems from a significant separation between the stiffnesses…

Soft Condensed Matter · Physics 2019-05-21 Robbie Rens , Carlos Villarroel , Gustavo Düring , Edan Lerner

Purpose: To organize a knee MRI segmentation challenge for characterizing the semantic and clinical efficacy of automatic segmentation methods relevant for monitoring osteoarthritis progression. Methods: A dataset partition consisting of 3D…

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