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Genetic regulatory networks are defined by their topology and by a multitude of continuously adjustable parameters. Here we present a class of simple models within which the relative importance of topology vs. interaction strengths becomes…

Molecular Networks · Quantitative Biology 2013-08-02 Mikhail Tikhonov , William Bialek

Molecular networks guide the biochemistry of a living cell on multiple levels: its metabolic and signalling pathways are shaped by the network of interacting proteins, whose production, in turn, is controlled by the genetic regulatory…

Soft Condensed Matter · Physics 2009-11-07 Sergei Maslov , Kim Sneppen

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

Biomolecular networks have already found great utility in characterizing complex biological systems arising from pair-wise interactions amongst biomolecules. Here, we review how graph theoretical approaches can be applied not only for a…

Molecular Networks · Quantitative Biology 2018-12-03 Heeralal Janwa , Steven E. Massey , Julian Velev , Bud Mishra

The next step in the understanding of the genome organization, after the determination of complete sequences, involves proteomics. The proteome includes the whole set of protein-protein interactions, and two recent independent studies have…

Statistical Mechanics · Physics 2007-05-23 Ricard V. Sole , Romualdo Pastor-Satorras , Eric Smith , Thomas B. Kepler

The biological processes of cellular decision making and differentiation involve a plethora of signalling pathways and gene regulatory circuits. These networks, in their turn, exhibit a multitude of motifs playing crucial parts in…

Molecular Networks · Quantitative Biology 2018-05-02 Gustavo Rodrigues Ferreira , Helder Imoto Nakaya , Luciano da Fontoura Costa

The co-evolution of network topology and dynamics is studied in an evolutionary Boolean network model that is a simple model of gene regulatory network. We find that a critical state emerges spontaneously resulting from interplay between…

Statistical Mechanics · Physics 2007-05-23 Min Liu , Kevin E. Bassler

Regulatory networks consist of interacting molecules with a high degree of mutual chemical specificity. How can these molecules evolve when their function depends on maintenance of interactions with cognate partners and simultaneous…

Populations and Evolution · Quantitative Biology 2017-11-01 Tamar Friedlander , Roshan Prizak , Nicholas H. Barton , Gašper Tkačik

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

Complex dynamical systems are often modeled as networks, with nodes representing dynamical units which interact through the network's links. Gene regulatory networks, responsible for the production of proteins inside a cell, are an example…

Statistical Mechanics · Physics 2009-09-30 Zoran Levnajić

Regulatory interactions between genes show a large amount of cross-species variability, even when the underlying functions are conserved: There are many ways to achieve the same function. Here we investigate the ability of regulatory…

Molecular Networks · Quantitative Biology 2015-05-13 Franck Stauffer , Johannes Berg

The structure and dynamics of a typical biological system are complex due to strong and inhomogeneous interactions between its constituents. The investigation of such systems with classical mathematical tools, such as differential equations…

Molecular Networks · Quantitative Biology 2008-02-15 Murat Tuğrul

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…

Molecular Networks · Quantitative Biology 2021-07-27 Peter Crawford-Kahrl , Robert R. Nerem , Bree Cummins , Tomas Gedeon

Network science provides an indispensable theoretical framework for studying the structure and function of real complex systems. Different network models are often used for finding the rules that govern their evolution, whereby the correct…

Physics and Society · Physics 2020-09-02 Ana Vranić , Marija Mitrović Dankulov

The architecture of biological networks has been reported to exhibit high level of modularity, and to some extent, topological modules of networks overlap with known functional modules. However, how the modular topology of the molecular…

Molecular Networks · Quantitative Biology 2007-09-07 Jing Zhao , Guo-Hui Ding , Lin Tao , Hong Yu , Zhong-Hao Yu , Jian-Hua Luo , Zhi-Wei Cao , Yi-Xue Li

The evolutionary origins of structural features in reconstructed gene-regulatory networks (GRNs) remain poorly understood, especially given the random aspects of gene expression. Here, we extend a classical model of GRN evolution to allow a…

Populations and Evolution · Quantitative Biology 2026-04-30 Leonardo Ivan Estrella Dzib , James Holehouse

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…

Molecular Networks · Quantitative Biology 2008-02-14 Arend Hintze , Christoph Adami

Cardiac development is complex, multiscale process encompassing cell fate adoption, differentiation and morphogenesis. To elucidate pathways underlying this process, a recently developed algorithm to reverse engineer gene regulatory…

Molecular Networks · Quantitative Biology 2017-02-08 Jason N. Bazil , Karl D. Stamm , Xing Li , Timothy J. Nelson , Aoy Tomita-Mitchell , Daniel A. Beard

A major issue in biology is the understanding of the interactions between proteins. These interactions can be described by a network, where the proteins are modeled by nodes and the interactions by edges. The origin of these protein…

Biological Physics · Physics 2011-08-01 Christian M. Schneider , Lucilla de Arcangelis , Hans J. Herrmann

We model the evolution of eukaryotic protein-protein interaction (PPI) networks. In our model, PPI networks evolve by two known biological mechanisms: (1) Gene duplication, which is followed by rapid diversification of duplicate…

Molecular Networks · Quantitative Biology 2015-01-07 Jack Peterson , Steve Presse , Kristin S. Peterson , Ken A. Dill
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