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Multistationarity in biological systems is a mechanism of cellular decision making. In particular, signaling pathways regulated by protein phosphorylation display features that facilitate a variety of responses to different biological…

Subcellular Processes · Quantitative Biology 2011-07-05 Elisenda Feliu , Carsten Wiuf

Signal-processing molecules inside cells are often present at low copy number, which necessitates probabilistic models to account for intrinsic noise. Probability distributions have traditionally been found using simulation-based approaches…

Molecular Networks · Quantitative Biology 2009-11-09 Andrew Mugler , Aleksandra M. Walczak , Chris H. Wiggins

We study a stochastic two-species chemical reaction system with two mechanisms. One mechanism consists of chemical interactions which govern the overall drift of species amounts in the system; the other mechanism consists of resampling,…

Probability · Mathematics 2014-05-06 John K. McSweeney , Lea Popovic

Feedback in cellular processes is typically inferred through cellular responses to experimental perturbations. Modular response analysis provides a theoretical framework for translating specific perturbations into feedback sensitivities…

Molecular Networks · Quantitative Biology 2025-05-09 Seshu Iyengar , Andreas Hilfinger

We study the statistical properties of a simple genetic regulatory network that provides heterogeneity within a population of cells. This network consists of a binary genetic switch in which stochastic flipping between the two switch states…

Soft Condensed Matter · Physics 2009-03-31 Paolo Visco , Rosalind J. Allen , Martin R. Evans

Genetically identical cells in the same population can take on phenotypically variable states, leading to differentiated responses to external signals, such as nutrients and drug-induced stress. Many models and experiments have focused on a…

Molecular Networks · Quantitative Biology 2015-04-28 Thierry Mora , Aleksandra M. Walczak

Prokaryotic gene expression is dynamic and noisy, and can lead to phenotypic variations. Previous work has shown that the selection of such variation can be modeled through basic reaction networks described by O.D.E. displaying a bistable…

Molecular Networks · Quantitative Biology 2023-04-10 Xavier Richard , Benoît Richard , Christian Mazza , Jan Roelof van der Meer

The transient response to a stimulus and subsequent recovery to a steady state are the fundamental characteristics of a living organism. Here we study the relaxation kinetics of autoregulatory gene networks based on the chemical master…

Molecular Networks · Quantitative Biology 2018-03-06 Chen Jia , Hong Qian , Min Chen , Michael Q. Zhang

Gene regulatory networks arise in all living cells, allowing the control of gene expression patterns. The study of their topology has revealed that certain subgraphs of interactions or "motifs" appear at anomalously high frequencies. We ask…

Molecular Networks · Quantitative Biology 2015-03-19 Z. Burda , A. Krzywicki , O. C. Martin , M. Zagorski

Decisions in the cell that lead to its ultimate fate are important for cellular functions such as proliferation, growth, differentiation, development and death. Understanding this decision process is imperative for advancements in the…

Molecular Networks · Quantitative Biology 2017-07-05 Zhenlong Jiang , Li Tian , Xiaona Fang , Kun Zhang , Qiong Liu , Qingzhe Dong , Erkang Wang , Jin Wang

Stochastic kinetic models of genetic expression are able to describe protein fluctuations. A comparative study of the canonical and a feedback model is given here by using stochastic simulation methods. The feedback model is skeleton model…

Molecular Networks · Quantitative Biology 2018-09-06 Raoul R. Wadhwa , Laszlo Zalanyi , Judit Szente , Laszlo Negyessy , Peter Erdi

The advent of new experimental genomic technologies and the massive increase of DNA sequence information is helping researchers better understand how our genes work. Recently, experiments on mRNA abundance (gene expression) have revealed…

Biomolecules · Quantitative Biology 2009-11-10 T. Ochiai , J. C. Nacher , T. Akutsu

A key goal of systems biology is the predictive mathematical description of gene regulatory circuits. Different approaches are used such as deterministic and stochastic models, models that describe cell growth and division explicitly or…

Molecular Networks · Quantitative Biology 2012-10-12 Rahul Marathe , Veronika Bierbaum , David Gomez , Stefan Klumpp

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

Certain cellular processes take the form of activity pulses that can be interpreted in terms of noise-driven excitable dynamics. Here we present an overview of different gene circuit architectures that exhibit excitable pulses of protein…

Molecular Networks · Quantitative Biology 2011-04-22 Pau Rué , Jordi Garcia-Ojalvo

For cellular biochemical reaction systems where the numbers of molecules is small, significant noise is associated with chemical reaction events. This molecular noise can give rise to behavior that is very different from the predictions of…

Molecular Networks · Quantitative Biology 2009-11-13 Matthew Scott , Terence Hwa , Brian Ingalls

The origin of heredity is studied as a recursive state in a replicating proto-cell consisting of many molecule species in mutually catalyzing reaction networks. Protocells divide when the number of molecules, increasing due to replication,…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Kunihiko Kaneko

We propose a probabilistic model for interpreting gene expression levels that are observed through single-cell RNA sequencing. In the model, each cell has a low-dimensional latent representation. Additional latent variables account for…

Machine Learning · Computer Science 2018-01-18 Romain Lopez , Jeffrey Regier , Michael Cole , Michael Jordan , Nir Yosef

Stochasticity in gene expression can give rise to fluctuations in protein levels and lead to phenotypic variation across a population of genetically identical cells. Recent experiments indicate that bursting and feedback mechanisms play…

Molecular Networks · Quantitative Biology 2015-06-22 Niraj Kumar , Thierry Platini , Rahul V. Kulkarni

We revisit the dynamics of a gene repressed by its own protein in the case where the transcription rate does not adapt instantaneously to protein concentration but is a dynamical variable. We derive analytical criteria for the appearance of…

Quantitative Methods · Quantitative Biology 2009-02-19 Pierre-Emmanuel Morant , Quentin Thommen , François Lemaire , Constant Vandermoëre , Benjamin Parent , Marc Lefranc