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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

In this paper we study finite dynamical systems with $n$ functions acting on the same set $X$, and probabilities assigned to these functions, that it is called Probabilistic Regulatory Gene Networks (PRN. his concept is the same or a…

Dynamical Systems · Mathematics 2007-05-23 Maria A. Avino-Diaz

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

The set of regulatory interactions between genes, mediated by transcription factors, forms a species' transcriptional regulatory network (TRN). By comparing this network with measured gene expression data one can identify functional…

Molecular Networks · Quantitative Biology 2015-05-19 Carsten Marr , Fabian J. Theis , Larry S. Liebovitch , Marc-Thorsten Hütt

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

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

Reconstructing transcriptional regulatory networks is an important task in functional genomics. Data obtained from experiments that perturb genes by knockouts or RNA interference contain useful information for addressing this reconstruction…

Machine Learning · Statistics 2015-06-18 Ali Shojaie , Alexandra Jauhiainen , Michael Kallitsis , George Michailidis

Single-cell RNA sequencing (scRNA-seq) technology provides high-throughput gene expression data to study the cellular heterogeneity and dynamics of complex organisms. Graph neural networks (GNNs) have been widely used for automatic cell…

Machine Learning · Computer Science 2023-12-19 Rui Yang , Wenrui Dai , Chenglin Li , Junni Zou , Dapeng Wu , Hongkai Xiong

Individual cancer cells carry a bewildering number of distinct genomic alterations i.e., copy number variations and mutations, making it a challenge to uncover genomic-driven mechanisms governing tumorigenesis. Here we performed…

The editing of transcribed RNA by other molecules such that the form of the final product differs from that specified in the corresponding DNA sequence is ubiquitous. This paper uses an abstract, tunable Boolean genetic regulatory network…

Neural and Evolutionary Computing · Computer Science 2015-05-11 Larry Bull

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

Biological systems are driven by intricate interactions among the complex array of molecules that comprise the cell. Many methods have been developed to reconstruct network models of those interactions. These methods often draw on large…

Molecular Networks · Quantitative Biology 2018-06-29 Marieke Lydia Kuijjer , Matthew Tung , GuoCheng Yuan , John Quackenbush , Kimberly Glass

Cellular response to a perturbation is the result of a dynamic system of biological variables linked in a complex network. A major challenge in drug and disease studies is identifying the key factors of a biological network that are…

Applications · Statistics 2014-09-02 Lisa M. Pham , Luis Carvalho , Scott Schaus , Eric D. Kolaczyk

Single-cell trajectory analysis aims to reconstruct the biological developmental processes of cells as they evolve over time, leveraging temporal correlations in gene expression. During cellular development, gene expression patterns…

Applications · Statistics 2026-03-30 Junhao Zhu , Kevin Zhang , Zhaolei Zhang , Dehan Kong

Single-cell transcriptomics, epigenomics, and other 'omics applied at single-cell resolution can significantly advance hypotheses and understanding of glial biology. Omics technologies are revealing a large and growing number of new glial…

Quantitative Methods · Quantitative Biology 2024-08-14 Katherine E. Prater , Kevin Z. Lin

I revisit two theories of cell differentiation in multicellular organisms published a half-century ago, Stuart Kauffman's global gene regulatory dynamics (GGRD) model and Roy Britten's and Eric Davidson's modular gene regulatory network…

Tissues and Organs · Quantitative Biology 2019-09-10 Stuart A. Newman

Inference of gene regulatory networks (GRNs) based on experimental data is a challenging task in bioinformatics. In this paper, we present a bi-objective minimization model (BoMM) for inference of GRNs, where one objective is the fitting…

Computational Engineering, Finance, and Science · Computer Science 2015-12-17 Yu Chen , Xiufen Zou

Living organisms must respond to environmental changes. Generally, accurate and rapid responses are provided by simple, unidirectional networks that connect inputs with outputs. Besides accuracy and speed, biological responses should also…

Molecular Networks · Quantitative Biology 2021-09-01 Masayo Inoue , Kunihiko Kaneko

Binarization of gene expression data is a \textbf{critical prerequisite} for the synthesis of Boolean gene regulatory network (GRN) models from omics datasets. Because Boolean networks encode gene activity as binary variables, the accuracy…

Discrete Mathematics · Computer Science 2025-10-21 Ismail Belgacem , Franck Delaplace

Systems biology is an emerging interdisciplinary area of research that focuses on study of complex interactions in a biological system, such as gene regulatory networks. The discovery of gene regulatory networks leads to a wide range of…

Neural and Evolutionary Computing · Computer Science 2016-10-13 Khalid Raza , Mansaf Alam