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We introduce a graph generating model aimed at representing the evolution of protein interaction networks. The model is based on the hypotesis of evolution by duplications and divergence of the genes which produce proteins. The obtained…

统计力学 · 物理学 2007-05-23 A. Vazquez , A. Flammini , A. Maritan , A. Vespignani

Research shows that gene duplication followed by either repurposing or removal of duplicated genes is an important contributor to evolution of gene and protein interaction networks. We aim to identify which characteristics of a network can…

分子网络 · 定量生物学 2021-07-27 Peter Crawford-Kahrl , Robert R. Nerem , Bree Cummins , Tomas Gedeon

In the early days of gene expression data, researchers have focused on gene-level analysis, and particularly on finding differentially expressed genes. This usually involved making a simplifying assumption that genes are independent, which…

应用统计 · 统计学 2021-06-29 Haim Bar , Seojin Bang

A prevalent assumption regarding real-world data is that it lies on or close to a low-dimensional manifold. When deploying a neural network on data manifolds, the required size, i.e., the number of neurons of the network, heavily depends on…

机器学习 · 计算机科学 2024-10-30 Jiachen Yao , Mayank Goswami , Chao Chen

Recently several authors have proposed stochastic evolutionary models for the growth of complex networks that give rise to power-law distributions. These models are based on the notion of preferential attachment leading to the ``rich get…

软凝聚态物质 · 物理学 2007-05-23 Trevor Fenner , Mark Levene , George Loizou

We propose a growing network model that consists of two tunable mechanisms: growth by merging modules which are represented as complete graphs and a fitness-driven preferential attachment. Our model exhibits the three prominent statistical…

分子网络 · 定量生物学 2007-07-31 Kazuhiro Takemoto , Chikoo Oosawa

We propose a model of a growing network, in which preferential linking is combined with partial inheritance of connectivity (number of incoming links) of individual nodes by new ones. The nontrivial version of this model is solved exactly…

统计力学 · 物理学 2007-05-23 S. N. Dorogovtsev , J. F. F. Mendes , A. N. Samukhin

In genomics studies, the investigation of the gene relationship often brings important biological insights. Currently, the large heterogeneous datasets impose new challenges for statisticians because gene relationships are often local. They…

统计方法学 · 统计学 2022-03-07 Jinjin Tian , Jing Lei , Kathryn Roeder

We study metanetworks arising in genotype and phenotype spaces, in the context of a model population of Boolean graphs evolved under selection for short dynamical attractors. We define the adjacency matrix of a graph as its genotype, which…

生物物理 · 物理学 2016-09-06 Burçin Danacı , Ayşe Erzan

Recent genomic and bioinformatic advances have motivated the development of numerous random network models purporting to describe graphs of biological, technological, and sociological origin. The success of a model has been evaluated by how…

It is well known that correlations in microarray data represent a serious nuisance deteriorating the performance of gene selection procedures. This paper is intended to demonstrate that the correlation structure of microarray data provides…

应用统计 · 统计学 2007-12-18 Lev Klebanov , Andrei Yakovlev

DNA microarray gene-expression data has been widely used to identify cancerous gene signatures. Microarray can increase the accuracy of cancer diagnosis and prognosis. However, analyzing the large amount of gene expression data from…

神经与进化计算 · 计算机科学 2024-11-21 Maryam Eshraghi Evari , Md Nasir Sulaiman , Amir Rajabi Behjat

Complex network approach has become an effective way to describe interrelationships among large amounts of biological data, which is especially useful in finding core functions and global behavior of biological systems. Hypertension is a…

分子网络 · 定量生物学 2016-01-29 Huan Wang , Jing-Bo Hu , Chuan-Yun Xu , De-Hai Zhang , Qian Yan , Ming Xu , Ke-Fei Cao , Xu-Sheng Zhang

Networks grow and evolve by local events, such as the addition of new nodes and links, or rewiring of links from one node to another. We show that depending on the frequency of these processes two topologically different networks can…

无序系统与神经网络 · 物理学 2009-10-31 Reka Albert , Albert-Laszlo Barabasi

We study counter expressed gene networks constructed from gene-expression data obtained from many types of cancers. The networks are synthesized by connecting vertices belonging to each others' list of K-farthest-neighbors, with K being an…

分子网络 · 定量生物学 2007-05-23 Himanshu Agrawal

Three models of growing random networks with fitness dependent growth rates are analysed using the rate equations for the distribution of their connectivities. In the first model (A), a network is built by connecting incoming nodes to nodes…

统计力学 · 物理学 2009-11-07 G. Ergun , G. J. Rodgers

Many complex systems--from social and communication networks to biological networks and the Internet--are thought to exhibit scale-free structure. However, prevailing explanations rely on the constant addition of new nodes, an assumption…

适应与自组织系统 · 物理学 2022-11-10 Christopher W. Lynn , Caroline M. Holmes , Stephanie E. Palmer

There are hierarchical characteristics in the network and how to effectively reveal the hierarchical characteristics in the network is a problem in the research of network structure. If a node is assigned to the community to which it…

社会与信息网络 · 计算机科学 2020-03-06 Shun Fu , Ji Xu

In this work we propose a model for gene expression based on the theory of random dynamical systems (RDS) and show that it has a "modularity property" in the following sense: given any collection of genes that are linked in a…

分子网络 · 定量生物学 2013-05-21 Fernando Antoneli , Renata C. Ferreira , Francisco Bosco , Marcelo R. S. Briones

Many biological systems approach physical limits to their performance, motivating the idea that their behavior and underlying mechanisms could be determined by such optimality. Nevertheless, optimization as a predictive principle has only…

生物物理 · 物理学 2023-12-05 Thomas R Sokolowski , Thomas Gregor , William Bialek , Gašper Tkačik