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To comprehend the multipartite organization of large-scale biological and social systems, we introduce a new information theoretic approach that reveals community structure in weighted and directed networks. The method decomposes a network…

Physics and Society · Physics 2008-02-13 M. Rosvall , C. T. Bergstrom

In a power distribution network, the network topology information is essential for an efficient operation of the network. This information of network connectivity is not accurately available, at the low voltage level, due to uninformed…

Systems and Control · Computer Science 2016-09-12 Jayadev P Satya , Nirav Bhatt , Ramkrishna Pasumarthy , Aravind Rajeswaran

Microscopic biological systems operate far from equilibrium, are subject to strong fluctuations, and are composed of many coupled components with interactions varying in nature and strength. Researchers are actively investigating the…

Statistical Mechanics · Physics 2023-12-25 Emma Lathouwers , David A. Sivak

The construction of a reaction network containing all relevant intermediates and elementary reactions is necessary for the accurate description of chemical processes. In the case of a complex chemical reaction (involving, for instance, many…

Chemical Physics · Physics 2017-12-19 Gregor N. Simm , Markus Reiher

Feedback circuits in biochemical networks which underly cellular signaling pathways are important elements in creating complex behavior. A specific aspect thereof is how stability of equilibrium points depends on model parameters. For…

Molecular Networks · Quantitative Biology 2007-11-20 Steffen Waldherr , Frank Allgower

We interpret the subgraph centrality as the partition function of a network. The entropy, the internal energy and the Helmholtz free energy are defined for networks and molecular graphs on the basis of graph spectral theory. Various…

Physics and Society · Physics 2009-05-27 Ernesto Estrada , Naomichi Hatano

In this work, we propose a novel power allocation mechanism which allows one to optimize the energy-efficiency of base stations operating in the downlink. The energy-efficiency refers to the amount of bits that can be transmitted by the…

Networking and Internet Architecture · Computer Science 2012-09-07 Vineeth S Varma , Salah E Elayoubi , Samson Lasaulce , Merouane Debbah

The analysis and interpretation of relationships between biological molecules is done with the help of networks. Networks are used ubiquitously throughout biology to represent the relationships between genes and gene products. Network…

Computational Engineering, Finance, and Science · Computer Science 2012-11-13 Rashmi Rameshwari , T. V. Prasad

Many real networks can be understood as two complementary networks with two kind of nodes. This is the case of metabolic networks where the first network has chemical compounds as nodes and the second one has nodes as reactions. The second…

Molecular Networks · Quantitative Biology 2007-05-23 J. C. Nacher , N. Ueda , T. Yamada , M. Kanehisa , T. Akutsu

Mapping the chemical reaction pathways and their corresponding activation barriers is a significant challenge in molecular simulation. Given the inherent complexities of 3D atomic geometries, even generating an initial guess of these paths…

Computational Physics · Physics 2025-01-24 Akihide Hayashi , So Takamoto , Ju Li , Yuta Tsuboi , Daisuke Okanohara

An analysis of the network defined by the potential energy minima of multi-atomic systems and their connectivity via reaction pathways that go through transition states allows to understand important characteristics like thermodynamic,…

Materials Science · Physics 2016-08-03 Bastian Schaefer , Stefan Goedecker

This chapter discusses the way in which dimensionality reduction algorithms such as diffusion maps and sketch-map can be used to analyze molecular dynamics trajectories. The first part discusses how these various algorithms function, as…

Computational Physics · Physics 2019-07-10 Gareth A. Tribello , Piero Gasparotto

Power flow analysis plays a fundamental and critical role in the energy management system (EMS). It is required to well accommodate large and complex power system. To achieve a high performance and accurate power flow analysis, a graph…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-20 Chen Yuan , Yi Lu , Wei Feng , Guangyi Liu , Renchang Dai , Yachen Tang , Zhiwei Wang

Biological systems and processes are networks of complex nonlinear regulatory interactions between nucleic acids, proteins, and metabolites. A natural way in which to represent these interaction networks is through the use of a graph. In…

Molecular Networks · Quantitative Biology 2023-01-04 Jacob Rast

Network medicine is an emerging area of research dealing with molecular and genetic interactions, network biomarkers of disease, and therapeutic target discovery. Large-scale biomedical data generation offers a unique opportunity to assess…

Molecular Networks · Quantitative Biology 2019-03-14 Abhijeet R. Sonawane , Scott T. Weiss , Kimberly Glass , Amitabh Sharma

Distribution systems hold a very significant position in the power system since it is the main point of link between bulk power and consumers. A planned and effective distribution network is the key to cope up with the ever increasing…

Other Computer Science · Computer Science 2014-03-20 Ritu Parasher

Boolean networks have been successfully used in modelling gene regulatory networks. In this paper we propose a reduction method that reduces the complexity of a Boolean network but keeps dynamical properties and topological features and…

Quantitative Methods · Quantitative Biology 2009-07-06 Alan Veliz-Cuba

We present a method to explore the free energy landscapes of chemical reactions with post-transition-state bifurcations using an enhanced sampling method based on well-tempered metadynamics. Obviating the need for computationally expensive…

Chemical Physics · Physics 2023-04-18 Juno Nam , YounJoon Jung

Probabilistic biological network growth models have been utilized for many tasks including but not limited to capturing mechanism and dynamics of biological growth activities, null model representation, capturing anomalies, etc. Well-known…

Molecular Networks · Quantitative Biology 2024-01-02 Emre Sefer

Power flow analysis plays a crucial role in examining the electricity flow within a power system network. By performing power flow calculations, the system's steady-state variables, including voltage magnitude, phase angle at each bus,…

Systems and Control · Electrical Eng. & Systems 2023-07-06 Mingjian Tuo , Xingpeng Li , Tianxia Zhao