English
Related papers

Related papers: A stochastic approach to multi-gene expression dyn…

200 papers

Many cell functions are accomplished thanks to intracellular transport mechanisms of macromolecules along filaments. Molecular motors such as dynein or kinesin are proteins playing a primary role in these processes. The behavior of such…

Chaotic Dynamics · Physics 2010-12-21 Donatello Materassi , Subhrajit Roychowdhury , Murti V. Salapaka

An approach for the description of stochastic systems is derived. Some of the variables in the system are studied forward in time, others backward in time. The approach is based on a perturbation expansion in the strength of the coupling…

Statistical Mechanics · Physics 2021-08-04 Piero Olla

Adaptation mechanism of cells on the basis of stochastic gene expression and epigenetic modification is proposed. From marginally stable states generated by epigenetic modification, a gene expression pattern that achieves greater cell…

Molecular Networks · Quantitative Biology 2019-01-18 Yusuke Himeoka , Kunihiko Kaneko

The origin of stochastic fluctuations in gene expression has received considerable attention recently. Fluctuations in gene expression are particularly pronounced in cellular systems because of the small copy number of species undergoing…

Subcellular Processes · Quantitative Biology 2009-08-02 P. S. Gutierrez , D. Monteoliva , L. Diambra

We introduce a model for simulating mutation of prokaryote DNA sequences. Using that model we can then evaluated traditional techniques like parsimony and maximum likelihood methods for computing phylogenetic relationships. We also use the…

Populations and Evolution · Quantitative Biology 2007-05-23 Matthew J. Berryman , Andrew Allison , Derek Abbott

Multi-output Gaussian processes (MOGPs) have been introduced to deal with multiple tasks by exploiting the correlations between different outputs. Generally, MOGPs models assume a flat correlation structure between the outputs. However,…

Machine Learning · Computer Science 2023-09-01 Chunchao Ma , Arthur Leroy , Mauricio Alvarez

Genetic circuits need a cellular environment to operate in, which naturally couples the circuit function with the overall functionality of gene regulatory network. To execute their functions all gene circuits draw resources in the form of…

Quantitative Methods · Quantitative Biology 2020-07-17 Priya Chakraborty , Sayantari Ghosh

A perturbation framework is developed to analyze metastable behavior in stochastic processes with random internal and external states. The process is assumed to be under weak noise conditions, and the case where the deterministic limit is…

Analysis of PDEs · Mathematics 2013-09-23 Jay Newby , Jon Chapman

In human cells, estrogenic signals induce cyclical association and dissociation of specific proteins with the DNA in order to activate transcription of estrogen-responsive genes. These oscillations can be modeled by assuming a large number…

Cell Behavior · Quantitative Biology 2007-05-23 Vincent Lemaire , Chiu Fan Lee , Jinzhi Lei , Raphael Metivier , Leon Glass

It is tempting to believe that we now own the genome. The ability to read and re-write it at will has ushered in a stunning period in the history of science. Nonetheless, there is an Achilles heel exposed by all of the genomic data that has…

In microarray experiments, it is often of interest to identify genes which have a pre-specified gene expression profile with respect to time. Methods available in the literature are, however, typically not stringent enough in identifying…

Applications · Statistics 2009-01-18 J. Tuke , G. F. V. Glonek , P. J. Solomon

Horizontal gene transfer consists in exchanging genetic materials between microorganisms during their lives. This is a major mechanism of bacterial evolution and is believed to be of main importance in antibiotics resistance. We consider a…

Probability · Mathematics 2019-12-18 Nicolas Champagnat , Sylvie Méléard , Viet Chi Tran

Cells use genetic switches to shift between alternate gene expression states, e.g., to adapt to new environments or to follow a developmental pathway. Here, we study the dynamics of switching in a generic-feedback on/off switch. Unlike…

Molecular Networks · Quantitative Biology 2015-05-27 Michael Assaf , Elijah Roberts , Zaida Luthey-Schulten

Finding coarse-grained, low-dimensional descriptions is an important task in the analysis of complex, stochastic models of gene regulatory networks. This task involves (a) identifying observables that best describe the state of these…

Quantitative Methods · Quantitative Biology 2015-06-26 Radek Erban , Thomas A. Frewen , Xiao Wang , Timothy C. Elston , Ronald Coifman , Boaz Nadler , Ioannis G. Kevrekidis

We train a neural network to predict distributional responses in gene expression following genetic perturbations. This is an essential task in early-stage drug discovery, where such responses can offer insights into gene function and inform…

Metabolic heterogeneity is widely recognised as the next challenge in our understanding of non-genetic variation. A growing body of evidence suggests that metabolic heterogeneity may result from the inherent stochasticity of intracellular…

Molecular Networks · Quantitative Biology 2020-10-08 Mona K Tonn , Philipp Thomas , Mauricio Barahona , Diego A Oyarzún

The recent interest in human dynamics has led researchers to investigate the stochastic processes that explain human behaviour in various contexts. Here we propose a generative model to capture the dynamics of survival analysis,…

Physics and Society · Physics 2015-09-30 Trevor Fenner , Mark Levene , George Loizou

This report proposes a novel framework for a rigorous robustness analysis of stochastic biochemical systems. The technique is based on probabilistic model checking. We adapt the general definition of robustness introduced by Kitano to the…

Numerical Analysis · Computer Science 2013-10-18 Lubos Brim , Milan Ceska , Sven Drazan , David Safranek

We introduce a stochastic model of coupled genetic oscillators in which chains of chemical events involved in gene regulation and expression are represented as sequences of Poisson processes. We characterize steady states by their…

Biological Physics · Physics 2018-03-28 David J. Jörg , Luis G. Morelli , Frank Jülicher

Stochastic fluctuations in the copy number of gene products have perceivable effects on the functioning of gene regulatory networks (GRN). The Master equation (ME) provides a theoretical basis for studying such effects. However, solving the…

Molecular Networks · Quantitative Biology 2018-10-31 Jaroslav Albert