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The structure of molecular networks derives from dynamical processes on evolutionary time scales. For protein interaction networks, global statistical features of their structure can now be inferred consistently from several…

统计力学 · 物理学 2007-05-23 Johannes Berg , Michael Lässig , Andreas Wagner

Molecular networks guide the biochemistry of a living cell on multiple levels: its metabolic and signalling pathways are shaped by the network of interacting proteins, whose production, in turn, is controlled by the genetic regulatory…

软凝聚态物质 · 物理学 2009-11-07 Sergei Maslov , Kim Sneppen

Multiscale phenomena exhibit complex structure-function relationships, and predicting their macroscopic behavior requires deducing differential equations at different scales. The complexity of these equations and the number of essential…

数学物理 · 物理学 2023-07-25 Vincenzo Fazio , Nicola Maria Pugno , Orazio Giustolisi , Giuseppe Puglisi

Duplication graphs are graphs that grow by duplication of existing vertices, and are important models of biological networks, including protein-protein interaction networks and gene regulatory networks. Three models of graph growth are…

统计力学 · 物理学 2009-11-10 Alpan Raval

Protein-protein interactions can be properly modeled as scale-free complex networks, while the lethality of proteins has been correlated with the node degrees, therefore defining a lethality-centrality rule. In this work we revisit this…

无序系统与神经网络 · 物理学 2007-05-23 Luciano da Fontoura Costa , Francisco Aparecido Rodrigues , Gonzalo Travieso

Complex networks have been studied extensively due to their relevance to many real systems as diverse as the World-Wide-Web (WWW), the Internet, energy landscapes, biological and social networks…

无序系统与神经网络 · 物理学 2009-11-11 Chaoming Song , Shlomo Havlin , Hernan A. Makse

Empirical complex systems must differentially respond to external perturbations and, at the same time, internally distribute information to coordinate their components. While networked backbones help with the latter, they limit the…

物理与社会 · 物理学 2025-04-18 Arsham Ghavasieh , Manlio De Domenico

Current experimental and theoretical studies on the effect of intermolecular interactions on molecular conduction appear to be in conflict with each other. In particular, some experimental results, e.g., the observation of 2-dimensional…

介观与纳米尺度物理 · 物理学 2007-07-23 A. Landau , L. Kronik , A. Nitzan

The topology of any complex system is key to understanding its structure and function. Fundamentally, algebraic topology guarantees that any system represented by a network can be understood through its closed paths. The length of each path…

统计方法学 · 统计学 2017-05-17 Pierre-André G. Maugis , Sofia C. Olhede , Patrick J. Wolfe

We present a numerical study on the dynamics of imbibition fronts in porous media using a pipe network model. This model quantitatively reproduces the anomalous scaling behavior found in imbibition experiments [Phys. Rev. E {\bf 52}, 5166…

统计力学 · 物理学 2009-10-31 C. H. Lam , V. K. Horváth

In this paper, we consider the statistical analysis of a protein interaction network. We propose a Bayesian model that uses a hierarchy of probabilistic assumptions about the way proteins interact with one another in order to: (i) identify…

分子网络 · 定量生物学 2007-11-15 Edoardo M Airoldi , David M Blei , Stephen E Fienberg , Eric P Xing

Understanding the structure of weighted signed networks is essential for analysing social systems in which relationships vary both in sign and strength. Despite significant advances in statistical network analysis, there is still a lack of…

统计方法学 · 统计学 2025-11-06 Alberto Caimo , Isabella Gollini

Many complex structures and stochastic patterns emerge from simple kinetic rules and local interactions, and are governed by scale invariance properties in combination with effects of the global geometry. We consider systems that can be…

统计力学 · 物理学 2013-09-17 Adnan Ali , Robin C. Ball , Stefan Grosskinsky , Ellak Somfai

The scale-free (SF) structure that commonly appears in many complex networks is one of the hot topics related to social, biological, and information sciences. The self-organized generation mechanisms are expected to be useful for efficient…

物理与社会 · 物理学 2007-05-23 Yukio Hayashi

Combinations of random and preferential growth for both on-growing and stationary networks are studied and a hierarchical topology is observed. Thus for real world scale-free networks which do not exhibit hierarchical features preferential…

无序系统与神经网络 · 物理学 2015-06-24 Andreas Gronlund , Kim Sneppen , Petter Minnhagen

Connecting plasma processing parameters to the resultant film microstructure remains a fundamental challenge in materials synthesis, one that has largely confined process design to empirical approaches. To bridge this gap, we develop a…

等离子体物理 · 物理学 2025-07-16 Joel Saucedo , Uday Lamba , Hasitha Mahabaduge

Through the distinction between ``real'' and ``virtual'' links between the nodes of a graph, we develop a set of simple rules leading to scale-free networks with a tunable degree distribution exponent. Albeit sharing some similarities with…

统计力学 · 物理学 2007-05-23 F. Stauffer

We present a method that compares the protein interaction networks of two species to detect functionally similar (conserved) protein modules between them. The method is based on an algorithm we developed to identify matching subgraphs…

分子网络 · 定量生物学 2007-05-23 Manikandan Narayanan , Richard M. Karp

In recent decades, it has been emphasized that the evolving structure of networks may be shaped by interaction principles that yield sparse graphs with a vertex degree distribution exhibiting an algebraic tail, and other structural traits…

统计力学 · 物理学 2025-07-01 Dario Borrelli

In this study, we present a method of pattern mining based on network theory that enables the identification of protein structures or complexes from synthetic volume densities, without the knowledge of predefined templates or human biases…

定量方法 · 定量生物学 2022-10-18 August George , Doo Nam Kim , Trevor Moser , Ian T. Gildea , James E. Evans , Margaret S. Cheung
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