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Networks are widely used in the biological, physical, and social sciences as a concise mathematical representation of the topology of systems of interacting components. Understanding the structure of these networks is one of the outstanding…

数据分析、统计与概率 · 物理学 2007-06-21 M. E. J. Newman , E. A. Leicht

Understanding the rules underlying organismal development is a major unsolved problem in biology. Each cell in a developing organism responds to signals in its local environment by dividing, excreting, consuming, or reorganizing, yet how…

细胞行为 · 定量生物学 2025-08-20 Ramya Deshpande , Francesco Mottes , Ariana-Dalia Vlad , Michael P. Brenner , Alma dal Co

The study of temporal networks in discrete time has yielded numerous insights into time-dependent networked systems in a wide variety of applications. For many complex systems, however, it is useful to develop continuous-time models of…

社会与信息网络 · 计算机科学 2021-02-10 Xinzhe Zuo , Mason A Porter

Like other social animals and biological systems, human groups constantly exchange information. Network models provide a way of quantifying this process by representing the pathways of information propagation between individuals. Existing…

社会与信息网络 · 计算机科学 2024-10-18 Niek Kerssies , Jose Segovia Martin , James Winters

Network inference approaches are now widely used in biological applications to probe regulatory relationships between molecular components such as genes or proteins. Many methods have been proposed for this setting, but the connections and…

应用统计 · 统计学 2014-06-03 Chris. J. Oates , Sach Mukherjee

Fluctuations in the abundance of molecules in the living cell may affect its growth and well being. For regulatory molecules (e.g., signaling proteins or transcription factors), fluctuations in their expression can affect the levels of…

分子网络 · 定量生物学 2009-11-13 Erel Levine , Terence Hwa

The structure of a network has a major effect on dynamical processes on that network. Many studies of the interplay between network structure and dynamics have focused on models of phenomena such as disease spread, opinion formation and…

动力系统 · 数学 2025-10-21 Lucas Böttcher , Mason A. Porter

Mathematical models of motility are often based on random-walk descriptions of discrete individuals that can move according to certain rules. It is usually the case that large masses concentrated in small regions of space have a great…

物理与社会 · 物理学 2022-11-23 Carles Falcó

We analyze random networks that change over time. First we analyze a dynamic Erdos-Renyi model, whose edges change over time. We describe its stationary distribution, its convergence thereto, and the SI contact process on the network, which…

概率论 · 数学 2015-03-19 Benjamin Armbruster , John Gunnar Carlsson

In network science complex systems are represented as a mathematical graphs consisting of a set of nodes representing the components and a set of edges representing their interactions. The framework of networks has led to significant…

物理与社会 · 物理学 2022-04-07 Alexandre Bovet , Hernán A. Makse

The dynamics of stochastic reaction networks within cells are inevitably modulated by factors considered extrinsic to the network such as for instance the fluctuations in ribsome copy numbers for a gene regulatory network. While several…

定量方法 · 定量生物学 2015-06-19 Christoph Zechner , Heinz Koeppl

Many natural systems are organized as networks, in which the nodes (be they cells, individuals or populations) interact in a time-dependent fashion. The dynamic behavior of these networks depends on how these nodes are connected, which can…

神经元与认知 · 定量生物学 2015-06-22 Anca Radulescu , Sergio Verduzco-Flores

Temporal social networks are characterized by {heterogeneous} duration of contacts, which can either follow a power-law distribution, such as in face-to-face interactions, or a Weibull distribution, such as in mobile-phone communication.…

物理与社会 · 物理学 2013-07-23 Kun Zhao , Márton Karsai , Ginestra Bianconi

Models of complex networks often incorporate node-intrinsic properties abstracted as hidden variables. The probability of connections in the network is then a function of these variables. Real-world networks evolve over time, and many…

物理与社会 · 物理学 2021-05-19 Harrison Hartle , Fragkiskos Papadopoulos , Dmitri Krioukov

Biological networks have evolved to be highly functional within uncertain environments while remaining extremely adaptable. One of the main contributors to the robustness and evolvability of biological networks is believed to be their…

分子网络 · 定量生物学 2008-02-14 Arend Hintze , Christoph Adami

We analyze information diffusion using empirical data that tracks online communication around two instances of mass political mobilization, including the year that lapsed in-between the protests. We compare the global properties of the…

Most social, technological and biological networks are embedded in a finite dimensional space, and the distance between two nodes influences the likelihood that they link to each other. Indeed, in social systems, the chance that two…

物理与社会 · 物理学 2018-06-27 Paul Balister , Chaoming Song , Oliver Riordan , Bela Bollobas , Albert-Laszlo Barabasi

This study presents an integrated approach to understanding epidemic dynamics through a stochastic spatio-temporal simulation model on a multiplex network, blending physical and informational layers. The physical layer maps the geographic…

物理与社会 · 物理学 2025-09-26 H. M. Shadman Tabib , Jaber Ahmed Deedar , K. M. Ariful Kabir

Many social and biological networks consist of communities - groups of nodes within which connections are dense, but between which connections are sparser. Recently, there has been considerable interest in designing algorithms for detecting…

物理与社会 · 物理学 2009-11-11 Chunguang Li , Philip K. Maini

Spatio-temporal network dynamics is an emergent property of many complex systems which remains poorly understood. We suggest a new approach to its study based on the analysis of dynamical motifs -- small subnetworks with periodic and…

无序系统与神经网络 · 物理学 2007-05-23 Valentin P. Zhigulin