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We analyze a model of interacting agents (e.g. prebiotic chemical species) which are represended by nodes of a network, whereas their interactions are mapped onto directed links between these nodes. On a fast time scale, each agent follows…

Populations and Evolution · Quantitative Biology 2009-11-13 Adrian M. Seufert , Frank Schweitzer

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

The major biochemical networks of the living cell, the network of interacting genes and the network of biochemical reactions, are highly interdependent, however, they have been studied mostly as separate systems so far. In the last years an…

Molecular Networks · Quantitative Biology 2017-11-01 David F. Klosik , Anne Grimbs , Stefan Bornholdt , Marc-Thorsten Hütt

Biochemical reaction networks are subjected to large fluctuations attributable to small molecule numbers, yet underlie reliable biological functions. Most theoretical approaches describe them as purely deterministic or stochastic dynamical…

Molecular Networks · Quantitative Biology 2013-06-11 Jingkui Wang , Marc Lefranc , Quentin Thommen

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

Structural and dynamical fingerprints of evolutionary optimization in biological networks are still unclear. We here analyze the dynamics of genetic regulatory networks responsible for the regulation of cell cycle and cell differentiation…

Molecular Networks · Quantitative Biology 2016-06-22 N. Aral , A. Kabakcioglu

Cellular phenotypes are determined by the dynamical activity of networks of co-regulated genes. Elucidating such networks is crucial for the understanding of normal cell physiology as well as for the dissection of complex pathologic…

Molecular Networks · Quantitative Biology 2007-05-23 Kai Wang , Nilanjana Banerjee , Adam Margolin , Ilya Nemenman , Katia Basso , Riccardo Favera , Andrea Califano

The regulation of cellular function is often controlled at the level of gene transcription. Such genetic regulation usually consists of interacting networks, whereby gene products from a single network can act to control their own…

Biological Physics · Physics 2009-11-06 Jeff Hasty , Joel Pradines , Milos Dolnik , J. J. Collins

Homeostasis of protein concentrations in cells is crucial for their proper functioning, and this requires concentrations (at their steady-state levels) to be stable to fluctuations. Since gene expression is regulated by proteins such as…

Biological Physics · Physics 2020-11-10 Yipei Guo , Ariel Amir

Decisions in the cell that lead to its ultimate fate are important for cellular functions such as proliferation, growth, differentiation, development and death. Understanding this decision process is imperative for advancements in the…

Molecular Networks · Quantitative Biology 2017-07-05 Zhenlong Jiang , Li Tian , Xiaona Fang , Kun Zhang , Qiong Liu , Qingzhe Dong , Erkang Wang , Jin Wang

Networks of gene regulation govern morphogenesis, determine cell identity and regulate cell function. But we have little understanding, at the local level, of which logics are biologically preferred or even permitted. To solve this puzzle,…

Molecular Networks · Quantitative Biology 2022-09-02 Thomas M. A. Fink , Ryan Hannam

Identity, response to external stimuli, and spatial architecture of a living system are central topics of molecular biology. Presently, they are largely seen as a result of the interplay between a gene repertoire and the regulatory…

Molecular Networks · Quantitative Biology 2007-05-23 M. Cosentino Lagomarsino , P. Jona , B. Bassetti

Cooperative behavior in real social dilemmas is often perceived as a phenomenon emerging from norms and punishment. To overcome this paradigm, we highlight the interplay between the influence of social networks on individuals, and the…

Physics and Society · Physics 2018-07-23 Dario Madeo , Chiara Mocenni

Gene regulatory networks (GRNs) play a central role in cellular decision-making. Understanding their structure and how it impacts their dynamics constitutes thus a fundamental biological question. GRNs are frequently modeled as Boolean…

Molecular Networks · Quantitative Biology 2024-01-19 Claus Kadelka , Taras-Michael Butrie , Evan Hilton , Jack Kinseth , Addison Schmidt , Haris Serdarevic

Diverse biological networks exhibit universal features distinguished from those of random networks, calling much attention to their origins and implications. Here we propose a minimal evolution model of Boolean regulatory networks, which…

Molecular Networks · Quantitative Biology 2014-11-26 Deok-Sun Lee

Determining mechanistic models of gene regulation, especially underlying phenotypic variation, is a central goal of both mathematical biology and modern evolutionary biology. However, several challenges, involving both common…

Molecular Networks · Quantitative Biology 2025-11-04 Cody E. FitzGerald , Shelley Reich , Victor Agaba , Arjun Mathur , Michael S. Werner , Niall M. Mangan

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…

Cell Behavior · Quantitative Biology 2025-08-20 Ramya Deshpande , Francesco Mottes , Ariana-Dalia Vlad , Michael P. Brenner , Alma dal Co

Based on a non-equilibrium mechanism for spatial pattern formation we study how position information can be controlled by locally coupled discrete dynamical networks, similar to gene regulation networks of cells in a developing…

Molecular Networks · Quantitative Biology 2009-08-26 Thimo Rohlf , Stefan Bornholdt

Bacteria often develop distinct phenotypes to adapt to environmental stress. In particular, they can produce biofilms, dense communities of bacteria that live in a complex extracellular matrix. Bacterial biofilms provide a safe haven from…

Quantitative Methods · Quantitative Biology 2025-08-29 Stephen Williams , Daravuth Cheam , Michele K. Nishiguchi , Suzanne S. Sindi , Shilpa Khatri , Erica M. Rutter

Living cells must control the reading out or "expression" of information encoded in their genomes, and this regulation often is mediated by transcription factors--proteins that bind to DNA and either enhance or repress the expression of…

Molecular Networks · Quantitative Biology 2013-08-01 Gašper Tkačik , Aleksandra M Walczak , William Bialek