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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

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

Targeting RNA with small molecules offers significant therapeutic potential. Machine learning could substantially accelerate preclinical drug discovery, from hit identification to lead optimization. Yet a fundamental limitation emerges:…

Biomolecules · Quantitative Biology 2025-12-18 Wissam Karroucha , Carlos Oliver , Veronique Stoven , Vincent Mallet

Gene regulatory networks typically have low in-degrees, whereby any given gene is regulated by few of the genes in the network. They also tend to have broad distributions for the out-degree. What mechanisms might be responsible for these…

Molecular Networks · Quantitative Biology 2013-05-29 Z. Burda , A. Krzywicki , O. C. Martin , M. Zagorski

Mitogen-activated protein kinase (MAPK) signaling pathways play an essential role in the transduction of environmental stimuli to the nucleus, thereby regulating a variety of cellular processes, including cell proliferation, differentiation…

Molecular Networks · Quantitative Biology 2014-03-27 Mercedes Pérez Millán , Adrián G. Turjanski

The security of mobile robotic networks (MRNs) has been an active research topic in recent years. This paper demonstrates that the observable interaction process of MRNs under formation control will present increasingly severe threats.…

Systems and Control · Electrical Eng. & Systems 2021-06-07 Yushan Li , Jianping He , Xuda Ding , Lin Cai , Xinping Guan

Due to the stochastic nature of biochemical processes, the copy number of any given type of molecule inside a living cell often exhibits large temporal fluctuations. Here, we develop analytic methods to investigate how the noise arising…

Subcellular Processes · Quantitative Biology 2015-05-13 Li-ping Xiong , Yu-qiang Ma , Lei-Han Tang

Biological information processing as implemented by regulatory and signaling networks in living cells requires sufficient specificity of molecular interaction to distinguish signals from one another, but much of regulation and signaling…

Biomolecules · Quantitative Biology 2015-01-29 Christopher R. Myers

In a recent work [arXiv:1307.1382] it was pointed out that the link-weight distribution of microRNA (miRNA) co-target network of a wide class of species are universal up to scaling. The number cell types, widely accepted as a measure of…

Genomics · Quantitative Biology 2014-05-20 Mahashweta Basu , Nitai P. Bhattacharyya , P. K. Mohanty

MicroRNAs (miRs) are robust regulators of gene expression, implicated in most biological processes. microRNAs predominantly downregulate the expression of genes post-transcriptionally and each miR is predicted to target several hundred…

The telegraph model is the standard model of stochastic gene expression, which can be solved exactly to obtain the distribution of mature RNA numbers per cell. A modification of this model also leads to an analytical distribution of the…

Subcellular Processes · Quantitative Biology 2023-08-17 Juraj Szavits-Nossan , Ramon Grima

MicroRNAs (miRNAs) are an emerging class of biomarkers that are frequently deregulated in cancer cells and have shown a great promise for cancer classification and prognosis. In this work, we developed a three-way electrochemical sensor for…

Biomolecules · Quantitative Biology 2013-12-02 Mahmoud Labib , Nasrin Khan , Jenny Cheng , John Paul Pezacki , Maxim V. Berezovski

Random Threshold Networks (RTNs) are an idealized model of diluted, non symmetric spin glasses, neural networks or gene regulatory networks. RTNs also serve as an interesting general example of any coordinated causal system. Here we study…

Quantitative Methods · Quantitative Biology 2009-01-14 M. Andrecut , D. Foster , H. Carteret , S. A. Kauffman

A cell's behavior is a consequence of the complex interactions between its numerous constituents, such as DNA, RNA, proteins and small molecules. Cells use signaling pathways and regulatory mechanisms to coordinate multiple processes,…

Molecular Networks · Quantitative Biology 2007-09-12 Reka Albert

We discuss recent developments in the modeling of negative autoregulated genetic networks. In particular, we consider the temporal evolution of the population of mRNA and proteins in simple networks using rate equations. In the limit of low…

Molecular Networks · Quantitative Biology 2007-05-23 Azi Lipshtat , Hagai B. Perets , Nathalie Q. Balaban , Ofer Biham

RNA function is tied to secondary structure, operating through dynamic and heterogeneous structural ensembles. While current analysis tools typically output single static structures or averaged contact maps, chemical probing methods like…

Biomolecules · Quantitative Biology 2026-05-20 Giuseppe Sacco , Jianhui Li , Redmond P. Smyth , Guido Sanguinetti , Giovanni Bussi

We study two important roles of miRNA as stress inducer and synchronizing agent in regulating diffusively coupled genetic oscillators within stochastic formalism and competition between them. We identify optimal value of coupling constant…

Molecular Networks · Quantitative Biology 2014-09-09 Saurabh Kumar Sharma , Shakti Nath Singh , Md. Jahoor Alam , R. K. Brojen Singh

Individual mRNAs are translated by multiple ribosomes that initiate translation with a few seconds interval. The ribosome speed is codon dependant, and ribosome queuing has been suggested to explain specific data for translation of some…

Subcellular Processes · Quantitative Biology 2008-09-26 Namiko Mitarai , Kim Sneppen , Steen Pedersen

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

Accurate prediction of RNA properties, such as stability and interactions, is crucial for advancing our understanding of biological processes and developing RNA-based therapeutics. RNA structures can be represented as 1D sequences, 2D…

Quantitative Methods · Quantitative Biology 2025-04-22 Junjie Xu , Artem Moskalev , Tommaso Mansi , Mangal Prakash , Rui Liao