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The study of network structural controllability focuses on the minimum number of driver nodes needed to control a whole network. Despite intensive studies on this topic, most of them consider static networks only. It is well-known, however,…

Physics and Society · Physics 2021-01-27 Rui Zhang , Xiaomeng Wang , Ming Cheng , Tao Jia

Existing studies on the degree correlation of evolving networks typically rely on differential equations and statistical analysis, resulting in only approximate solutions due to inherent randomness. To address this limitation, we propose an…

Computation · Statistics 2024-06-13 Yue Xiao , Xiaojun Zhang

In this article, we propose a general framework to study the dynamics and topology of cellular networks that capture the geometry of cell packings in two-dimensional tissues. Such epithelia undergo large-scale deformation during…

Tissues and Organs · Quantitative Biology 2017-09-08 Matthias Merkel , Raphaël Etournay , Marko Popović , Guillaume Salbreux , Suzanne Eaton , Frank Jülicher

Multipotent stem or progenitor cells undergo a sequential series of binary fate decisions, which ultimately generate the diversity of differentiated cells. Efforts to understand cell fate control have focused on simple gene regulatory…

Molecular Networks · Quantitative Biology 2009-09-15 David V. Foster , Jacob G. Foster , Sui Huang , Stuart A. Kauffman

We explore a simple mathematical model of network computation, based on Markov chains. Similar models apply to a broad range of computational phenomena, arising in networks of computers, as well as in genetic, and neural nets, in social…

Information Retrieval · Computer Science 2009-04-18 Dusko Pavlovic

We study the evolution of networks when the creation and decay of links are based on the position of nodes in the network measured by their centrality. We show that the same network dynamics arises under various centrality measures, and…

Physics and Society · Physics 2013-05-29 Michael D. Koenig , Claudio J. Tessone

Vascular and non-vascular cells often form an interconnected network in vitro, similar to the early vascular bed of warm blooded embryos. Our time-lapse recordings show that the network forms by extending sprouts, i.e., multicellular linear…

Cell Behavior · Quantitative Biology 2009-11-13 Andras Szabo , Erica D. Perryn , Andras Czirok

Genes communicate with each other through different regulatory effects, which lead to the emergence of complex structures in cells, and such structures are expected to be different for normal and cancerous cells. To study breast cancer…

Molecular Networks · Quantitative Biology 2020-10-13 Abbas Karimi Rizi , Mina Zamani , Amirhossein Shirazi , G. Reza Jafari , János Kertész

A reflection of our ultimate understanding of a complex system is our ability to control its behavior. Typically, control has multiple prerequisites: It requires an accurate map of the network that governs the interactions between the…

Systems and Control · Computer Science 2016-09-21 Yang-Yu Liu , Albert-Laszló Barabási

A characteristic property of networks is their ability to propagate influences, such as infectious diseases, behavioral changes, and failures. An especially important class of such contagious dynamics is that of cascading processes. These…

Physics and Society · Physics 2017-01-26 Adilson E. Motter , Yang Yang

We evolve network topology of an asymmetrically connected threshold network by a simple local rewiring rule: quiet nodes grow links, active nodes lose links. This leads to convergence of the average connectivity of the network towards the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Stefan Bornholdt , Thimo Rohlf

Inspired by empirical studies of networked systems such as the Internet, social networks, and biological networks, researchers have in recent years developed a variety of techniques and models to help us understand or predict the behavior…

Statistical Mechanics · Physics 2015-06-24 M. E. J. Newman

Real networks often grow through the sequential addition of new nodes that connect to older ones in the graph. However, many real systems evolve through the branching of fundamental units, whether those be scientific fields, countries, or…

Physics and Society · Physics 2020-06-30 Muhua Zheng , Guillermo García-Pérez , Marián Boguñá , M. Ángeles Serrano

Cell differentiation in multicellular organisms is a complex process whose mechanism can be understood by a reductionist approach, in which the individual processes that control the generation of different cell types are identified.…

An increasing number of complex systems are now modeled as networks of coupled dynamical entities. Nonlinearity and high-dimensionality are hallmarks of the dynamics of such networks but have generally been regarded as obstacles to control.…

Disordered Systems and Neural Networks · Physics 2015-12-07 Adilson E. Motter

Predictive modeling of the evolutionary dynamics of cancer is a challenge issue in computational cancer biology. In this paper, we propose a general mathematical model framework for the evolutionary dynamics of cancer with plasticity and…

Cell Behavior · Quantitative Biology 2020-01-10 Jinzhi Lei

We study the effect of learning dynamics on network topology. A network of discrete dynamical systems is considered for this purpose and the coupling strengths are made to evolve according to a temporal learning rule that is based on the…

Chaotic Dynamics · Physics 2009-11-13 Juergen Jost , Kiran M. Kolwankar

We present a general model for the growth of weighted networks in which the structural growth is coupled with the edges' weight dynamical evolution. The model is based on a simple weight-driven dynamics and a weights' reinforcement…

Statistical Mechanics · Physics 2009-11-10 Alain Barrat , Marc Barthelemy , Alessandro Vespignani

Empirical studies of graphs have contributed enormously to our understanding of complex systems. Known today as network science, what was originally a theoretical study of graphs has grown into a more scientific exploration of communities…

Quantitative Methods · Quantitative Biology 2020-01-01 Ryan E. Langendorf , Debra S. Goldberg

Genomic alterations lead to cancer complexity and form a major hurdle for a comprehensive understanding of the molecular mechanisms underlying oncogenesis. In this review, we describe the recent advances in studying cancer-associated genes…

Molecular Networks · Quantitative Biology 2007-12-24 Edwin Wang , Anne Lenferink , Maureen O'Connor-McCourt
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