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The three dimensional structure of a protein is an outcome of the interactions of its constituent amino acids in 3D space. Considering the amino acids as nodes and the interactions among them as edges we have constructed and analyzed…

Biomolecules · Quantitative Biology 2010-07-26 Dhriti Sengupta , Sudip Kundu

We show that spectral fluctuation of interaction matrices of yeast a core protein interaction network and a metabolic network follows the description of the Gaussian orthogonal ensemble (GOE) of random matrix theory (RMT). Furthermore, we…

Molecular Networks · Quantitative Biology 2009-11-11 Feng Luo , Jianxin Zhong , Yunfeng Yang , Richard H. Scheuermann , Jizhong Zhou

The scale free structure p(k)~k^{-gamma} of protein-protein interaction networks can be reproduced by a static physical model in simulation. We inspect the model theoretically, and find the key reason for the model to generate apparent…

Molecular Networks · Quantitative Biology 2015-06-26 Jingshan Zhang , Eugene I. Shakhnovich

We introduce a stochastic model of growing networks where both, the number of new nodes which joins the network and the number of connections, vary stochastically. We provide an exact mapping between this model and zero range process, and…

Statistical Mechanics · Physics 2010-09-03 P. K. Mohanty , Sarika Jalan

Expanding the scope of graph-based, deep-learning models to noncovalent protein-ligand interactions has earned increasing attention in structure-based drug design. Modeling the protein-ligand interactions with graph neural networks (GNNs)…

Biomolecules · Quantitative Biology 2020-05-28 Hyeoncheol Cho , Eok Kyun Lee , Insung S. Choi

Genomic duplication-divergence events, which are the primary source of new protein functions, occur stochastically at a wide range of genomic scales, from single gene to whole genome duplications. Clearly, this fundamental evolutionary…

Molecular Networks · Quantitative Biology 2007-05-23 Kirill Evlampiev , Herve Isambert

The fractal nature of graphs has traditionally been investigated by using the nodes of networks as the basic units. Here, instead, we propose to concentrate on the graph edges, and introduce a practical and computationally not demanding…

Physics and Society · Physics 2017-04-05 Sarika Jalan , Alok Yadav , Camellia Sarkar , Stefano Boccaletti

We develop a path-based approach to continuous-time random walks on networks with arbitrarily weighted edges. We describe an efficient numerical algorithm for calculating statistical properties of the stochastic path ensemble. After…

Populations and Evolution · Quantitative Biology 2014-08-19 Michael Manhart , Alexandre V. Morozov

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

In this paper, we introduce a new class of stochastic multilayer networks. A stochastic multilayer network is the aggregation of $M$ networks (one per layer) where each is a subgraph of a foundational network $G$. Each layer network is the…

Social and Information Networks · Computer Science 2018-07-11 Bo Jiang , Philippe Nain , Don Towsley , Saikat Guha

The capacity to resist attacks from the environment is crucial to the survival of all organisms. We quantitatively analyze the susceptibility of protein interaction networks of numerous organisms to random and malicious attacks. We find for…

Computational Physics · Physics 2010-10-19 Christian M. Schneider , Roberto F. S. Andrade , Troy Shinbrot , Hans J. Herrmann

The use of degree-degree correlations to model realistic networks which are characterized by their Pearson's coefficient, has become widespread. However the effect on how different correlation algorithms produce different results on…

Physics and Society · Physics 2011-12-30 L. D. Valdez , C. Buono , L. A. Braunstein , P. A. Macri

Various approaches and measures from network analysis have been applied to granular and particulate networks to gain insights into their structural, transport, failure-propagation and other systems-level properties. In this article, we…

Soft Condensed Matter · Physics 2019-11-06 Silvia Nauer , Lucas Böttcher , Mason A. Porter

Previous work has shown that species interacting in an ecosystem and actors transacting in an economic context may have notable similarities in behavior. However, the specific mechanism that may underlie similarities in nature and human…

Physics and Society · Physics 2011-10-04 Serguei Saavedra , Felix Reed-Tsochas , Brian Uzzi

Understanding the link between structure and function in proteins is fundamental in molecular biology and proteomics. A central question in this context is whether allostery - where the binding of a molecule at one site affects the activity…

Statistical Mechanics · Physics 2025-06-02 Giulio Costantini , Lorenzo Caprini , Umberto Marini Bettolo Marconi , Fabio Cecconi

Thanks to recent progress in high-throughput experimental techniques, the datasets of large-scale protein interactions of prototypical multicellular species, the nematode worm Caenorhabditis elegans and the fruit fly Drosophila…

Molecular Networks · Quantitative Biology 2009-11-11 K. -I. Goh , B. Kahng , D. Kim

We study the effects of nonreciprocity and network structure on percolation. To this end, we investigate nonreciprocal random networks - directed networks for which the probability of a link occurring from node i to node j differs from the…

Statistical Mechanics · Physics 2025-10-07 Chanania Steinbock

Message passing techniques on networks encompasses a family of related methods that can be employed to ascertain many important properties of a network. It is widely considered to be the state of the art formulation for networked systems…

Physics and Society · Physics 2025-04-24 Peter Mann , Simon Dobson

We consider the general problem of describing the dynamics of subnetworks of larger biochemical reaction networks, e.g. protein interaction networks involving complex formation and dissociation reactions. We propose the use of model…

Quantitative Methods · Quantitative Biology 2020-08-26 Barbara Bravi , Katy J. Rubin , Peter Sollich

In the last two decades, network science has blossomed and influenced various fields, such as statistical physics, computer science, biology and sociology, from the perspective of the heterogeneous interaction patterns of components…

Physics and Society · Physics 2021-04-20 Ming Li , Run-Ran Liu , Linyuan Lü , Mao-Bin Hu , Shuqi Xu , Yi-Cheng Zhang
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