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Random Boolean networks have been used widely to explore aspects of gene regulatory networks. A modified form of the model through which to systematically explore the effects of increasing the number of gene states has previously been…

Molecular Networks · Quantitative Biology 2023-02-06 Larry Bull

Random boolean networks are a model of genetic regulatory networks that has proven able to describe experimental data in biology. They not only reproduce important phenomena in cell dynamics, but they are also extremely interesting from a…

Dynamical Systems · Mathematics 2015-02-26 Marco Villani , Davide Campioli , Chiara Damiani , Andrea Roli , Alessandro Filisetti , Roberto Serra

The relationship between sequences and secondary structures or shapes in RNA exhibits robust statistical properties summarized by three notions: (1) the notion of a typical shape (that among all sequences of fixed length certain shapes are…

Biological Physics · Physics 2009-10-31 Peter Schuster , Walter Fontana

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

Phenotypical variability in the absence of genetic variation often reflects complex energetic landscapes associated with underlying gene regulatory networks (GRNs). In this view, different phenotypes are associated with alternative states…

Molecular Networks · Quantitative Biology 2018-06-27 M. Ali Al-Radhawi , Domitilla Del Vecchio , Eduardo D. Sontag

Modeling gene regulatory networks (GRNs) is an important topic in systems biology. Although there has been much work focusing on various specific systems, the generic behavior of GRNs with continuous variables is still elusive. In…

Molecular Networks · Quantitative Biology 2014-04-23 Zhiyuan Li , Simone Bianco , Zhaoyang Zhang , Chao Tang

The diversity of expressed genes plays a critical role in cellular specialization, adaptation to environmental changes, and overall cell functionality. This diversity varies dramatically across cell types and is orchestrated by intricate,…

Biological Physics · Physics 2023-11-28 Orr Levy , Shubham Tripathi , Scott D. Pope , Yang Y. Liu , Ruslan Medzhitov

The genotype-phenotype map is an essential object in our understanding of organismal complexity and adaptive properties, determining at once genomic plasticity and those constraints that may limit the ability of genomes to attain…

Populations and Evolution · Quantitative Biology 2015-02-18 Clemente F. Arias , Pablo Catalán , Susanna Manrubia , José A. Cuesta

We consider two mathematical dynamical models of gene regulatory networks (GRNs) and obtain results on robust synchronization on these dynamical models based on the existing theoretical results in the coupled cell network formalism. We also…

Dynamical Systems · Mathematics 2021-11-17 Manuela Aguiar , Ana Dias , Haibo Ruan

Molecular phenotypes are important links between genomic information and organismic functions, fitness, and evolution. Complex phenotypes, which are also called quantitative traits, often depend on multiple genomic loci. Their evolution…

Populations and Evolution · Quantitative Biology 2015-06-12 Armita Nourmohammad , Stephan Schiffels , Michael Laessig

Modelling gene regulatory networks not only requires a thorough understanding of the biological system depicted but also the ability to accurately represent this system from a mathematical perspective. Throughout this chapter, we aim to…

Quantitative Methods · Quantitative Biology 2018-05-04 Olivia Angelin-Bonnet , Patrick J. Biggs , Matthieu Vignes

Genetic differences between individuals associated to quantitative phenotypic traits, including disease states, are usually found in non-coding genomic regions. These genetic variants are often also associated to differences in expression…

Molecular Networks · Quantitative Biology 2016-11-02 Lingfei Wang , Tom Michoel

Plasticity-led evolution is a form of evolution where a change in the environment induces novel traits via phenotypic plasticity, after which the novel traits are genetically accommodated over generations under the novel environment. This…

Populations and Evolution · Quantitative Biology 2023-01-18 Eden Tian Hwa Ng , Akira R. Kinjo

Background: Duplication of genes is important for evolution of molecular networks. Many authors have therefore considered gene duplication as a driving force in shaping the topology of molecular networks. In particular it has been noted…

Populations and Evolution · Quantitative Biology 2009-11-13 Jakob Enemark , 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

Understanding how gene regulatory networks (GRNs) give rise to stable and dynamic cellular states remains a central challenge in theoretical biology, particularly when slow epigenetic feedback reshapes the underlying regulatory landscape.…

Molecular Networks · Quantitative Biology 2026-04-15 Sascha H. Hauck , Sandip Saha , Narsis A. Kiani , Jesper N. Tegner

Whereas the relationship between criticality of gene regulatory networks (GRNs) and dynamics of GRNs at a single cell level has been vigorously studied, the relationship between the criticality of GRNs and system properties at a higher…

Molecular Networks · Quantitative Biology 2018-01-29 Hyobin Kim , Hiroki Sayama

In this review we summarize our recent efforts in trying to understand the role of heterogeneity in cancer progression by using neural networks to characterise different aspects of the mapping from a cancer cells genotype and environment to…

Tissues and Organs · Quantitative Biology 2014-04-29 Philip Gerlee , Eunjung Kim , Alexander R. A. Anderson

We study the evolution of artificial learning systems by means of selection. Genetic programming is used to generate a sequence of populations of algorithms which can be used by neural networks for supervised learning of a rule that…

Biological Physics · Physics 2009-11-07 Juan Pablo Neirotti , Nestor Caticha

We consider a model of large regulatory gene expression networks where the thresholds activating the sigmoidal interactions between genes and the signs of these interactions are shuffled randomly. Such an approach allows for a qualitative…

Molecular Networks · Quantitative Biology 2007-05-23 D. Volchenkov , R. Lima