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Several studies highlighted the relevance of extrinsic noise in shaping cell decision making and differentiation in molecular networks. Experimental evidences of phenotypic differentiation are given by the presence of bimodal distributions…

Molecular Networks · Quantitative Biology 2017-04-19 Marco Del Giudice , Stefano Bo , Silvia Grigolon , Carla Bosia

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…

Based on a recently proposed non-equilibrium mechanism for spatial pattern formation [cond-mat/0312366] we study how morphogenesis can be controlled by locally coupled discrete dynamical networks, similar to gene regulation networks of…

Molecular Networks · Quantitative Biology 2007-05-23 Thimo Rohlf , Stefan Bornholdt

We analyze general two-species stochastic models, of the kind generally used for the study of population dynamics. We show that the conditions for the stochastic (microscopic) model to display approximate sustained oscillatory behavior are…

Populations and Evolution · Quantitative Biology 2016-08-14 Sebastián Risau-Gusman , Guillermo Abramson

Time-resolved single-cell omics data offers high-throughput, genome-wide measurements of cellular states, which are instrumental to reverse-engineer the processes underpinning cell fate. Such technologies are inherently destructive,…

Machine Learning · Computer Science 2026-02-04 Stephen Zhang , Suryanarayana Maddu , Xiaojie Qiu , Victor Chardès

In the last years, tens of thousands gene expression profiles for cells of several organisms have been monitored. Gene expression is a complex transcriptional process where mRNA molecules are translated into proteins, which control most of…

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

In this article we demonstrate that the so-called bursting production of molecular species during gene expression may be an artifact caused by low time resolution in experimental data collection and not an actual burst in production. We…

Probability · Mathematics 2011-12-15 Romain Yvinec , Alexandre F. Ramos

A detailed stochastic model of single-gene auto-regulation is established and its solutions are explored when mRNA dynamics is fast compared with protein dynamics and in the opposite regime. The model includes all the sources of randomness…

Biological Physics · Physics 2015-06-03 Tomás Aquino , Elsa Abranches , Ana Nunes

We study the effect of extrinsic noise in metabolic networks. We introduce external random fluctuations at the kinetic level, and show how these lead to a stochastic generalization of standard Metabolic Control Analysis. While Summation and…

Subcellular Processes · Quantitative Biology 2015-05-13 Andrea Rocco

We explore the joint effect of the intrinsic noise and time delay on the spatial pattern formation within a multi-scale mobile lattice model of the epithelium. The protein fluctuations are driven by transcription/translation processes in…

Adaptation and Self-Organizing Systems · Physics 2015-06-12 Dmitry Bratsun , Andrey Zakharov

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

The evolutionary origins of structural features in reconstructed gene-regulatory networks (GRNs) remain poorly understood, especially given the random aspects of gene expression. Here, we extend a classical model of GRN evolution to allow a…

Populations and Evolution · Quantitative Biology 2026-04-30 Leonardo Ivan Estrella Dzib , James Holehouse

Gene regulatory networks, as a powerful abstraction for describing complex biological interactions between genes through their expression products within a cell, are often regarded as virtually deterministic dynamical systems. However, this…

Molecular Networks · Quantitative Biology 2023-09-18 Ulysse Herbach

A general class of stochastic gene expression models with self regulation is considered. One or more genes randomly switch between regulatory states, each having a different mRNA transcription rate. The gene or genes are self regulating…

Molecular Networks · Quantitative Biology 2014-12-30 Jay Newby

Gene regulatory dynamics is governed by molecular processes and therefore exhibits an inherent stochasticity. However, for the survival of an organism it is a strict necessity that this intrinsic noise does not prevent robust functioning of…

Molecular Networks · Quantitative Biology 2007-05-23 Stefan Braunewell , Stefan Bornholdt

Large genomic and imaging datasets can be used to train models that learn meaningful representations of cellular systems. Across domains, model performance improves predictably with dataset size and compute budget, providing a basis for…

Quantitative Methods · Quantitative Biology 2026-02-23 Gokul Gowri , Igor Sadalski , Dan Raviv , Peng Yin , Jonathan Rosenfeld , Allon M. Klein

The dynamics of living systems often serves the purpose of reaching functionally important target states. We previously proposed a theory to analyze stochastic biological dynamics evolving towards target states in reverse time. However, a…

Biological Physics · Physics 2023-04-11 Nicolas Lenner , Matthias Häring , Stephan Eule , Jörg Großhans , Fred Wolf

Protein distributions measured under a broad set of conditions in bacteria and yeast were shown to exhibit a common skewed shape, with variances depending quadratically on means. For bacteria these properties were reproduced by temporal…

Biological Physics · Physics 2015-10-28 Naama Brenner , C. M. Newman , Dino Osmanovic , Yitzhak Rabin , Hanna Salman , D. L. Stein

We consider a generic class of stochastic particle-based models whose state at an instant in time is described by a set of continuous degrees of freedom (e.g. positions), and the length of this set changes stochastically in time due to…

Statistical Mechanics · Physics 2025-09-03 Samuel Cameron , Elsen Tjhung

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
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