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Scale-free and non-computable characteristics of natural networks are found to result from the least-time dispersal of energy. To consider a network as a thermodynamic system is motivated since ultimately everything that exists can be…

综合物理 · 物理学 2011-06-22 Tuomo Hartonen , Arto Annila

Community structures have been identified in various complex real-world networks, for example, communication, information, internet and shareholder networks. The scaling of community size distribution indicates the heterogeneity in the…

物理与社会 · 物理学 2022-07-11 Qing Yao , Bingsheng Chen , Tim S. Evans , Kim Christensen

We propose a growing network model that consists of two tunable mechanisms: growth by merging modules which are represented as complete graphs and a fitness-driven preferential attachment. Our model exhibits the three prominent statistical…

分子网络 · 定量生物学 2007-07-31 Kazuhiro Takemoto , Chikoo Oosawa

We introduce a minimalistic model based on dynamic node deletion and node duplication with heterodimerisation. The model is intended to capture the essential features of the evolution of protein interaction networks. We derive an exact…

生物物理 · 物理学 2009-11-13 Nadia Farid , Kim Christensen

Protein-protein interaction networks associated with diseases have gained prominence as an area of research. We investigate algebraic and topological indices for protein-protein interaction networks of 11 human cancers derived from the…

分子网络 · 定量生物学 2014-05-08 Peter Hinow , Edward A. Rietman , Jack A. Tuszynski

Protein-protein interactions drive many biological processes, including the detection of phytopathogens by plants' R-Proteins and cell surface receptors. Many machine learning studies have attempted to predict protein-protein interactions…

机器学习 · 计算机科学 2023-10-24 Ruth Veevers , Dan MacLean

From the spectral plot of the (normalized) graph Laplacian, the essential qualitative properties of a network can be simultaneously deduced. Given a class of empirical networks, reconstruction schemes for elucidating the evolutionary…

定量方法 · 定量生物学 2007-05-24 Anirban Banerjee , Jürgen Jost

Protein-protein interactions (protein functionalities) are mediated by water, which compacts individual proteins and promotes close and temporarily stable large-area protein-protein interfaces. Proteins are peptide chains decorated by amino…

软凝聚态物质 · 物理学 2008-02-26 J. C. Phillips

The function of a protein is defined by its interaction partners. Thus, topology-driven network alignment of the protein-protein interaction (PPI) networks of two species should uncover similar interaction patterns and allow identification…

Over the past decade, a number of researchers in systems biology have sought to relate the function of biological systems to their network-level descriptions -- lists of the most important players and the pairwise interactions between them.…

分子网络 · 定量生物学 2012-03-14 Andrew Mugler , Boris Grinshpun , Riley Franks , Chris H. Wiggins

Scaling behavior of scale-free evolving networks arising in communications, citations, collaborations, etc. areas is studied. We derive universal scaling relations describing properties of such networks and indicate limits of their…

凝聚态物理 · 物理学 2009-10-31 S. N. Dorogovtsev , J. F. F. Mendes

The interactions between particles in particulate systems are organized in `force networks', mesoscale features that bridge between the particle scale and the scale of the system as a whole. While such networks are known to be crucial in…

Models of protein energetics which neglect interactions between amino acids that are not adjacent in the native state, such as the Go model, encode or underlie many influential ideas on protein folding. Implicit in this simplification is a…

生物大分子 · 定量生物学 2009-10-08 Brian C. Gin , Juan P. Garrahan , Phillip L. Geissler

Multiple scales coexist in complex networks. However, the small world property makes them strongly entangled. This turns the elucidation of length scales and symmetries a defiant challenge. Here, we define a geometric renormalization group…

无序系统与神经网络 · 物理学 2018-07-04 Guillermo García-Pérez , Marián Boguñá , M. Ángeles Serrano

Gene/protein interactions provide critical information for a thorough understanding of cellular processes. Recently, considerable interest and effort has been focused on the construction and analysis of genome-wide gene networks. The large…

分子网络 · 定量生物学 2022-04-25 Xin Li , Hsinchun Chen , Zan Huang , Hua Su , Jesse D. Martinez

We study a recently introduced class of scale-free networks showing a high clustering coefficient and non-trivial connectivity correlations. We find that the connectivity probability distribution strongly depends on the fine details of the…

Systems as diverse as genetic networks or the world wide web are best described as networks with complex topology. A common property of many large networks is that the vertex connectivities follow a scale-free power-law distribution. This…

无序系统与神经网络 · 物理学 2015-06-25 Albert-Laszlo Barabasi , Reka Albert

Networks of disparate phenomena-- be it the global ecology, human social institutions, within the human brain, or in micro-scale protein interactions-- exhibit broadly consistent architectural features. To explain this, we propose a new…

物理与社会 · 物理学 2021-01-26 Keith M. Smith

The protein folding problem must ultimately be solved on all length scales from the atomic up through a hierarchy of complicated structures. By analyzing the stability of the folding process using physics and mathematics, this paper shows…

生物物理 · 物理学 2015-05-28 Walter Simmons , Joel L. Weiner

How does the shape of a network change as its size increases? Although random graph models provide some expectations for such "scaling behaviors" in the structure of networks, relatively little is known about how empirical network structure…

社会与信息网络 · 计算机科学 2026-03-24 Upasana Dutta , Alexander Ray , Aaron Clauset