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Single trial analyses of ensemble activity in alert animals demonstrate that cortical circuits dynamics evolve through temporal sequences of metastable states. Metastability has been studied for its potential role in sensory coding, memory…

Neurons and Cognition · Quantitative Biology 2016-03-23 Luca Mazzucato , Alfredo Fontanini , Giancarlo La Camera

Discrete-state stochastic models are a popular approach to describe the inherent stochasticity of gene expression in single cells. The analysis of such models is hindered by the fact that the underlying discrete state space is extremely…

Analysis of PDEs · Mathematics 2021-01-28 Pavel Kurasov , Delio Mugnolo , Verena Wolf

Phenotypic heterogeneity in an isogenic, microbial population enables a subset of the population to persist under stress. In mycobacteria, stresses like nutrient and oxygen deprivation activate the stress response pathway involving the…

Molecular Networks · Quantitative Biology 2015-05-13 Kamakshi Sureka , Bhaswar Ghosh , Arunava Dasgupta , Joyoti Basu , Manikuntala Kundu , Indrani Bose

One of the most challenging problems in microbiology is to understand how a small fraction of microbes that resists killing by antibiotics can emerge in a population of genetically identical cells, the phenomenon known as persistence or…

Subcellular Processes · Quantitative Biology 2015-06-17 Andrea Rocco , Andrzej M. Kierzek , Johnjoe McFadden

The bulk of stochastic gene expression models in the literature do not have an explicit description of the age of a cell within a generation and hence they cannot capture events such as cell division and DNA replication. Instead, many…

Subcellular Processes · Quantitative Biology 2020-03-11 Casper H. L. Beentjes , Ruben Perez-Carrasco , Ramon Grima

Gene regulatory networks, i.e. DNA segments in a cell which interact with each other indirectly through their RNA and protein products, lie at the heart of many important intracellular signal transduction processes. In this paper we analyse…

Analysis of PDEs · Mathematics 2014-04-03 Mark Chaplain , Mariya Ptashnyk , Marc Sturrock

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

Coupling the control of expression stochasticity (noise) to the ability of expression change (plasticity) can alter gene function and influence adaptation. A number of factors, such as transcription re-initiation, strong chromatin…

Genomics · Quantitative Biology 2012-09-12 Djordje Bajić , Juan F. Poyatos

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

We explain the principles of gene expression pattern stabilization in systems of interacting, diffusible morphogens, with dynamically established source regions. Using a reaction-diffusion model with step-function production term, we…

Biological Physics · Physics 2023-03-02 M. Majka , R. D. J. G. Ho , M. Zagorski

Genetically encoded regulatory circuits control biological function. A major focus of systems biology is to understand these circuits by establishing the relationship between specific structures and functions. Of special interest are…

Molecular Networks · Quantitative Biology 2017-08-17 Ruben Perez-Carrasco , Chris P. Barnes , Yolanda Schaerli , Mark Isalan , James Briscoe , Karen M. Page

Growth in confined spaces can drive cellular populations through a jamming transition from a fluid-like state to a solid-like state. Experiments have found that jammed budding yeast populations can build up extreme compressive pressures…

Soft Condensed Matter · Physics 2019-05-29 Pawel Gniewek , Carl F Schreck , Oskar Hallatschek

Appropriate regulation of gene expression is essential to ensure that protein synthesis occurs in a selective manner. The control of transcription is the most dominant type of regulation mediated by a complex of molecules such as…

Molecular Networks · Quantitative Biology 2010-02-04 Rajesh Karmakar

This paper studies the emergence of multi-stability and hysteresis in those systems that arise, under positive feedback, starting from monotone systems with well-defined steady-state responses. Such feedback configurations appear routinely…

Quantitative Methods · Quantitative Biology 2007-05-23 David Angeli , Eduardo D. Sontag

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 study a stochastic model of gene expression, in which protein production has a form of random bursts whose size distribution is arbitrary, whereas protein decay is a first-order reaction. We find exact analytical expressions for the time…

Biological Physics · Physics 2016-09-21 Jakub Jędrak , Anna Ochab-Marcinek

In this research, we study biological networks at different scales: a gene autoregulatory network at the single-cell level and the gut microbiota at the population level. Proteins are the main actors in cells, they are the building blocks,…

Populations and Evolution · Quantitative Biology 2021-04-21 Lana Descheemaeker

Gene expression is a central process to any form of life. It involves multiple temporal and functional scales that extend from specific protein-DNA interactions to the coordinated regulation of multiple genes in response to intracellular…

Molecular Networks · Quantitative Biology 2013-07-11 Jose M. G. Vilar , Leonor Saiz

Auto-regulation, a process wherein a protein negatively regulates its own production, is a common motif in gene expression networks. Negative feedback in gene expression plays a critical role in buffering intracellular fluctuations in…

Subcellular Processes · Quantitative Biology 2014-05-16 Mohammad Soltani , Cesar Vargas , Niraj Kumar , Rahul Kulkarni , Abhyudai Singh

Phenotype of biological systems needs to be robust against mutation in order to sustain themselves between generations. On the other hand, phenotype of an individual also needs to be robust against fluctuations of both internal and external…

Populations and Evolution · Quantitative Biology 2015-06-26 Kunihiko Kaneko