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We explore the connection between a stochastic simulation model and an ordinary differential equations (ODEs) model of the dynamics of an excitable gene circuit that exhibits noise-induced oscillations. Near a bifurcation point in the ODE…

Molecular Networks · Quantitative Biology 2012-04-26 Robert C. Hilborn , Benjamin Brookshire , Jenna Mattingly , Anusha Purushotham , Anuraag Sharma

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

The phase-separation occurring in a system of mutually interacting proteins that can bind on specific sites of a chromatin fiber is here investigated. This is achieved by means of extensive Molecular Dynamics simulations of a simple polymer…

Soft Condensed Matter · Physics 2020-10-16 Andrea M. Chiariello , Federico Corberi , Mario Salerno

Expression of the Drosophila segment polarity genes is initiated by a prepattern of pair-rule gene products and maintained by a network of regulatory interactions throughout several stages of embryonic development. Analysis of a model of…

Molecular Networks · Quantitative Biology 2007-05-23 Reka Albert , Hans G. Othmer

The transcription factors, such as activators and repressors, can interact with the promoter of gene either in a competitive or non-competitive way. In this paper, we construct a stochastic model with non-competitive transcriptional…

Molecular Networks · Quantitative Biology 2022-05-27 Amit Kumar Das

This paper investigates the stabilization of probabilistic Boolean networks (PBNs) via a novel pinning control strategy based on network structure. In a PBN, the evolution equation of each gene switches among a collection of candidate…

Systems and Control · Electrical Eng. & Systems 2020-10-26 Lin Lin , Jinde Cao , Jianquan Lu , Jie Zhong

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

Motivation: Gene regulatory interactions are of fundamental importance to various biological functions and processes. However, only a few previous computational studies have claimed success in revealing genome-wide regulatory landscapes…

Molecular Networks · Quantitative Biology 2017-02-09 Shupeng Gui , Rui Chen , Liang Wu , Ji Liu , Hongyu Miao

Dynamic gene-regulatory networks are complex since the number of potential components involved in the system is very large. Estimating dynamic networks is an important task because they compromise valuable information about interactions…

Methodology · Statistics 2012-05-15 Antonino Abbruzzo , Ernst Wit

This paper presents an intracellular feedback control strategy, to regulate the gene expression process dynamics. For this purpose, two types of genetic circuits are designed in order to compare concentrations of the input transcription…

Systems and Control · Computer Science 2016-06-15 Jafar Kazemi , Sadjad Ozgoli

Biological information processing networks consist of many components, which are coupled by an even larger number of complex multivariate interactions. However, analyses of data sets from fields as diverse as neuroscience, molecular…

Quantitative Methods · Quantitative Biology 2016-03-23 Lina Merchan , Ilya Nemenman

Genetic interaction can be defined as a deviation of the phenotypic quantitative effect of a double gene mutation from the effect predicted from single mutations using a simple (e.g., multiplicative or linear additive) statistical model.…

Molecular Networks · Quantitative Biology 2015-04-24 Laurence Calzone , Emmanuel Barillot , Andrei Zinovyev

Cellular response to environmental and internal signals can be modeled by dynamical gene regulatory networks (GRN). In the literature, three main classes of gene network models can be distinguished: (i) non-quantitative (or data-based)…

Molecular Networks · Quantitative Biology 2025-05-08 Nicolas Champagnat , Rodolphe Loubaton , Laurent Vallat , Pierre Vallois

Genetic regulatory networks enable cells to respond to the changes in internal and external conditions by dynamically coordinating their gene expression profiles. Our ability to make quantitative measurements in these biochemical circuits…

Biological Physics · Physics 2015-03-17 Aleksandra M Walczak , Gašper Tkačik

We present a self-consistent field approximation to the problem of the genetic switch composed of two mutually repressing/activating genes. The protein and DNA state dynamics are treated stochastically and on equal footing. In this approach…

Molecular Networks · Quantitative Biology 2009-11-10 Aleksandra M. Walczak , Masaki Sasai , Peter G. Wolynes

The intrinsic stochasticity of gene expression can lead to large variability in protein levels for genetically identical cells. Such variability in protein levels can arise from infrequent synthesis of mRNAs which in turn give rise to…

Biological Physics · Physics 2015-05-27 Vlad Elgart , Tao Jia , Andrew T. Fenley , Rahul V. Kulkarni

We develop a method for reconstructing regulatory interconnection networks between variables evolving according to a linear dynamical system. The work is motivated by the problem of gene regulatory network inference, that is, finding causal…

Methodology · Statistics 2018-02-19 Atte Aalto , Jorge Goncalves

Gene expression in a cell entails random reaction events occurring over disparate time scales. Thus, molecular noise that often results in phenotypic and population-dynamic consequences sets a fundamental limit to biochemical signaling.…

Molecular Networks · Quantitative Biology 2009-02-19 C. -M. Ghim , E. Almaas

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

Gene regulatory networks can be successfully modeled as Boolean networks. A much discussed hypothesis says that such model networks reproduce empirical findings the best if they are tuned to operate at criticality, i.e. at the borderline…

Molecular Networks · Quantitative Biology 2016-10-12 Pablo Villegas , José Ruiz-Franco , Jorge Hidalgo , Miguel A. Muñoz