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We study genetic networks that produce many species of non-coding RNA molecules that are present at a moderate density, as typically exists in the cell. The associations of the many species of these RNA are modeled physically, taking into…

Genomics · Quantitative Biology 2014-09-08 J. M. Deutsch

Gene regulatory networks typically have low in-degrees, whereby any given gene is regulated by few of the genes in the network. What mechanisms might be responsible for these low in-degrees? Starting with an accepted framework of the…

Molecular Networks · Quantitative Biology 2009-10-22 Z. Burda , A. Krzywicki , O. C. Martin , M. Zagorski

We consider the task of discovering gene regulatory networks, which are defined as sets of genes and the corresponding transcription factors which regulate their expression levels. This can be viewed as a variable selection problem,…

Methodology · Statistics 2014-12-04 Justin Bleich , Adam Kapelner , Edward I. George , Shane T. Jensen

Discovering and characterizing the large-scale topological features in empirical networks are crucial steps in understanding how complex systems function. However, most existing methods used to obtain the modular structure of networks…

Data Analysis, Statistics and Probability · Physics 2014-03-26 Tiago P. Peixoto

Developing and maintaining life requires a lot of computation. This is done by gene regulatory networks. But we have little understanding of how this computation is organized. I show that there is a direct correspondence between the…

Molecular Networks · Quantitative Biology 2022-09-01 Thomas M. A. Fink

Gene regulatory networks constitute the first layer of the cellular computation for cell adaptation and surveillance. In these webs, a set of causal relations is built up from thousands of interactions between transcription factors and…

Molecular Networks · Quantitative Biology 2009-11-30 Carlos Rodriguez-Caso , Bernat Corominas-Murtra , Ricard V. Solé

This paper is concerned with the problem of stochastic control of gene regulatory networks (GRNs) observed indirectly through noisy measurements and with uncertainty in the intervention inputs. The partial observability of the gene states…

Molecular Networks · Quantitative Biology 2017-02-27 Mahdi Imani , Ulisses Braga-Neto

Gene Regulatory Network (GRN) plays an important role in knowing insight of cellular life cycle. It gives information about at which different environmental conditions genes of particular interest get over expressed or under expressed.…

Computational Engineering, Finance, and Science · Computer Science 2013-10-10 Chanda Panse , Dr. Manali Kshirsagar

Gene Regulatory Network (GRN) inference is essential for understanding complex cellular mechanisms, rendered tractable through single-cell transcriptomic data. With the emergence of single-cell Foundation Models (scFMs), enhanced…

Machine Learning · Computer Science 2026-05-12 Jiaxin Qi , Hang Li , Yan Cui , Yuhua Zheng , Jianqiang Huang

Deep neural networks excel in mapping genomic DNA sequences to associated readouts (e.g., protein-DNA binding). Beyond prediction, the goal of these networks is to reveal to scientists the underlying motifs (and their syntax) which drive…

Genomics · Quantitative Biology 2024-10-10 Alex M. Tseng , Gokcen Eraslan , Tommaso Biancalani , Gabriele Scalia

Characterization of pluripotent states, in which cells can both self-renew and differentiate, and the irreversible loss of pluripotency are important research areas in developmental biology. In particular, an understanding of these…

Molecular Networks · Quantitative Biology 2015-09-02 Tadashi Miyamoto , Chikara Furusawa , Kunihiko Kaneko

We investigate the evolution of Boolean networks subject to a selective pressure which favors robustness against noise, as a model of evolved genetic regulatory systems. By mapping the evolutionary process into a statistical ensemble and…

Disordered Systems and Neural Networks · Physics 2012-04-11 Tiago P. Peixoto

Recent progress in experimental techniques has enabled us to quantitatively study stochastic and flexible behavior of biological systems. For example, gene regulatory networks perform stochastic information processing and their…

Statistical Mechanics · Physics 2018-06-21 Shun Otsubo , Takahiro Sagawa

Networks exhibiting "accelerating" growth have total link numbers growing faster than linearly with network size and can exhibit transitions from stationary to nonstationary statistics and from random to scale-free to regular statistics at…

Molecular Networks · Quantitative Biology 2017-12-22 M. J. Gagen , J. S. Mattick

In this paper, we use the framework of infinitesimal homeostasis to study general design principles for the occurrence of homeostasis in gene regulatory networks. We assume that the dynamics of the genes explicitly includes both…

Molecular Networks · Quantitative Biology 2023-09-14 Fernando Antoneli , Martin Golubitsky , Jiaxin Jin , Ian Stewart

Deciphering complex gene-gene interactions remains challenging in transcriptomics as traditional methods often miss higher-order and nonlinear dependencies. This study introduces a quantum-inspired framework leveraging tensor networks (TNs)…

Molecular Networks · Quantitative Biology 2025-09-09 Olatz Sanz Larrarte , Borja Aizpurua , Reza Dastbasteh , Ruben M. Otxoa , Josu Etxezarreta Martinez

In systems biology, attractor landscape analysis of gene regulatory networks is recognized as a powerful computational tool for studying various cellular states from proliferation and differentiation to senescence and apoptosis. Therefore,…

Molecular Networks · Quantitative Biology 2024-03-19 Alireza Rowhanimanesh

Inferring genetic networks from gene expression data is one of the most challenging work in the post-genomic era, partly due to the vast space of possible networks and the relatively small amount of data available. In this field, Gaussian…

Methodology · Statistics 2011-05-18 Marine Jeanmougin , Mickael Guedj , Christophe Ambroise

We consider evolution of a large population, where fitness of each organism is defined by many phenotypical traits. These traits result from expression of many genes. We propose a new model of gene regulation, where gene expression is…

Populations and Evolution · Quantitative Biology 2016-09-29 John Reinitz , Sergey Vakulenko , Dmitri Grigoriev , Andreas Weber

Understanding cell fate selection remains a central challenge in developmental biology. We present a class of simple yet biologically-motivated mathematical models for cell differentiation that generically generate oscillations and hence…

Dynamical Systems · Mathematics 2021-10-08 Saeed Farjami , Karen Camargo Sosa , Jonathan H. P. Dawes , Robert N. Kelsh , Andrea Rocco