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We introduce a new mechanism of connectivity evolution in networks to account for the emergence of scale-free behavior. The mechanism works on a fixed set of nodes and promotes growth from a minimally connected initial topology by the…

统计力学 · 物理学 2007-05-23 Valmir C. Barbosa , Raul Donangelo , Sergio R. Souza

We present a statistical approach to protein structure by introducing a representation of protein folds based on simple observables defined as frequencies of oriented cycles in contact graphs. Motivated by the idea that these cycles may…

生物大分子 · 定量生物学 2016-09-08 A. M. Lisewski , O. Lichtarge

Major advances in large-scale yeast two hybrid (Y2H) screening have provided a global view of binary protein-protein interactions across species as dissimilar as human, yeast, and bacteria. Remarkably, these analyses have revealed that all…

定量方法 · 定量生物学 2009-11-13 Yi Y. Shi , Gerald A. Miller , Hong Qian , Karol Bomsztyk

Interacting particle systems play a key role in science and engineering. Access to the governing particle interaction law is fundamental for a complete understanding of such systems. However, the inherent system complexity keeps the…

机器学习 · 计算机科学 2022-10-25 Zhichao Han , David S. Kammer , Olga Fink

Random networks with complex topology are common in Nature, describing systems as diverse as the world wide web or social and business networks. Recently, it has been demonstrated that most large networks for which topological information…

无序系统与神经网络 · 物理学 2016-08-31 Albert-Laszlo Barabasi , Reka Albert , Hawoong Jeong

We report on parallel observations in two seemingly unrelated areas of dynamical network research. The one is the so-called small world phenomenon and/or the observation of scale freeness in certain types of large (empirical) networks and…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Manfred Requardt

Proteins are an important class of biomolecules that serve as essential building blocks of the cells. Their three-dimensional structures are responsible for their functions. In this thesis we have investigated the protein structures using a…

分子网络 · 定量生物学 2007-11-19 Ganesh Bagler

The next step in the understanding of the genome organization, after the determination of complete sequences, involves proteomics. The proteome includes the whole set of protein-protein interactions, and two recent independent studies have…

统计力学 · 物理学 2007-05-23 Ricard V. Sole , Romualdo Pastor-Satorras , Eric Smith , Thomas B. Kepler

The dynamics of Boolean networks (the N-K model) with scale-free topology are studied here. The existence of a phase transition governed by the value of the scale-free exponent of the network is shown analytically by analyzing the overlap…

无序系统与神经网络 · 物理学 2007-05-23 Maximino Aldana

Living systems rely on coordinated molecular interactions, especially those related to gene expression and protein activity. The Unfolded Protein Response is a crucial mechanism in eukaryotic cells, activated when unfolded proteins exceed a…

Infections depend on interactions between pathogen and host proteins, but comprehensively mapping these interactions is challenging and labor intensive. Many biological networks have hierarchical, scale-free structure, so we developed a…

分子网络 · 定量生物学 2025-11-19 Xiaoqiong Xia , Cesar de la Fuente-Nunez

Despite the structural properties of online social networks have attracted much attention, the properties of the close-knit friendship structures remain an important question. Here, we mainly focus on how these mesoscale structures are…

物理与社会 · 物理学 2015-06-05 Ai-xiang Cui , Zi-ke Zhang , Ming Tang , Pak Ming Hui , Yan Fu

Interacting systems are ubiquitous in nature and engineering, ranging from particle dynamics in physics to functionally connected brain regions. These interacting systems can be modeled by graphs where edges correspond to the interactions…

机器学习 · 计算机科学 2024-01-25 Zhichao Han , Olga Fink , David S. Kammer

We propose a geometric growth model for weighted scale-free networks, which is controlled by two tunable parameters. We derive exactly the main characteristics of the networks, which are partially determined by the parameters. Analytical…

物理与社会 · 物理学 2011-11-09 Zhongzhi Zhang , Shuigeng Zhou , Lichao Chen , Jihong Guan , Lujun Fang , Yichao Zhang

Here we review the development of protein scaling theory, starting from backgrounds in mathematics and statistical mechanics, and leading to biomedical applications. Evolution has organized each protein family in different ways, but scaling…

其他定量生物学 · 定量生物学 2016-10-14 J. C. Phillips

We propose and study a model of scale-free growing networks that gives a degree distribution dominated by a power-law behavior with a model-dependent, hence tunable, exponent. The model represents a hybrid of the growing networks based on…

无序系统与神经网络 · 物理学 2009-11-10 H. Y. Lee , H. Y. Chan , P. M. Hui

Aligning protein-protein interaction (PPI) networks of different species has drawn a considerable interest recently. This problem is important to investigate evolutionary conserved pathways or protein complexes across species, and to help…

最优化与控制 · 数学 2009-05-08 Mikhail Zaslavskiy , Francis Bach , Jean-Philippe Vert

We analyze protein-protein interaction networks for six different species under the framework of random matrix theory. Nearest neighbor spacing distribution of the eigenvalues of adjacency matrices of the largest connected part of these…

分子网络 · 定量生物学 2014-05-20 Ankit Agrawal , Camellia Sarkar , Sanjiv K. Dwivedi , Nitesh Dhasmana , Sarika Jalan

Protein structure prediction and folding are fundamental to understanding biology, with recent deep learning advances reshaping the field. Diffusion-based generative models have revolutionized protein design, enabling the creation of novel…

机器学习 · 计算机科学 2025-10-01 Yogesh Verma , Markus Heinonen , Vikas Garg

Protein-protein interactions (protein functionalities) are mediated by water, which compacts individual proteins and promotes close and temporarily stable large-area protein-protein interfaces. In their classic paper Kyte and Doolittle (KD)…

软凝聚态物质 · 物理学 2009-11-13 Alexander E. Kister , James C. Phillips