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Gene regulation is a dynamic process that underlies all aspects of human development, disease response, and other key biological processes. The reconstruction of temporal gene regulatory networks has conventionally relied on regression…

Quantitative Methods · Quantitative Biology 2024-10-04 Euxhen Hasanaj , Barnabás Póczos , Ziv Bar-Joseph

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

An important occurrence in many cellular contexts is the crossing of a prescribed threshold by a regulatory protein. The timing of such events is stochastic as a consequence of the innate randomness in gene expression. A question of…

Molecular Networks · Quantitative Biology 2017-02-24 Khem Raj Ghusinga , Abhyudai Singh

Homeostasis of protein concentrations in cells is crucial for their proper functioning, and this requires concentrations (at their steady-state levels) to be stable to fluctuations. Since gene expression is regulated by proteins such as…

Biological Physics · Physics 2020-11-10 Yipei Guo , Ariel Amir

Cancer forms a robust system and progresses as stages over time typically with increasing aggressiveness and worsening prognosis. Characterizing these stages and identifying the genes driving transitions between them is critical to…

Molecular Networks · Quantitative Biology 2014-02-04 Sriganesh Srihari , Venkatesh Raman , Hon Wai Leong , Mark A. Ragan

This paper proposes a new method to reverse engineer gene regulatory networks from experimental data. The modeling framework used is time-discrete deterministic dynamical systems, with a finite set of states for each of the variables. The…

Quantitative Methods · Quantitative Biology 2007-05-23 Reinhard Laubenbacher , Brandilyn Stigler

Gene expression is inherently noisy as many steps in the read-out of the genetic information are stochastic. To disentangle the effect of different sources of stochasticity in such systems, we consider various models that describe some…

Molecular Networks · Quantitative Biology 2015-06-05 Rahul Marathe , David Gomez , Stefan Klumpp

Understanding the observed variability in the number of homologs of a gene is a very important, unsolved problem that has broad implications for research into co-evolution of structure and function, gene duplication, pseudogene formation…

Biomolecules · Quantitative Biology 2007-05-23 Boris Shakhnovich , Eric Deeds , Charles Delisi , Eugene Shakhnovich

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

We study the expressive power of positive neural networks. The model uses positive connection weights and multiple input neurons. Different behaviors can be expressed by varying the connection weights. We show that in discrete time, and in…

Neural and Evolutionary Computing · Computer Science 2015-12-02 Tom J. Ameloot , Jan Van den Bussche

The mutation and selection of regulatory DNA sequences is presented as an ideal model system of molecular evolution where genotype, phenotype, and fitness can be explicitly and independently characterized. In this theoretical study, we…

Biological Physics · Physics 2007-05-23 Ulrich Gerland , Terence Hwa

Complex dynamical systems are often modeled as networks, with nodes representing dynamical units which interact through the network's links. Gene regulatory networks, responsible for the production of proteins inside a cell, are an example…

Statistical Mechanics · Physics 2009-09-30 Zoran Levnajić

One of the focus areas of modern scientific research is to reveal mysteries related to genes and their interactions. The dynamic interactions between genes can be encoded into a gene regulatory network (GRN), which can be used to gain…

Optimization and Control · Mathematics 2020-07-16 Atte Aalto , Lauri Viitasaari , Pauliina Ilmonen , Laurent Mombaerts , Jorge Goncalves

The mutation-selection mechanism of Darwinian evolution gives rise not only to adaptation to environmental conditions but also to the enhancement of robustness against mutations. When two or more phenotypes have the same fitness value, the…

Populations and Evolution · Quantitative Biology 2024-11-20 Macoto Kikuchi

The intrinsic stochasticity of gene expression can lead to large variability of protein levels across a population of cells. Variability (or noise) in protein distributions can be modulated by cellular mechanisms of gene regulation; in…

Molecular Networks · Quantitative Biology 2011-03-02 Tao Jia , Rahul V. Kulkarni

BioDynaMo is a biological processes simulator developed by an international community of researchers and software engineers working closely with neuroscientists. The authors have been working on gene expression, i.e. the process by which…

Quantitative Methods · Quantitative Biology 2018-03-13 Sadyk Sayfullin , Fedor Akhmetov , Manuel Mazzara , Ruslan Mustafin , Victor Rivera

Evolution has fascinated quantitative and physical scientists for decades: how can the random process of mutation, recombination, and duplication of genetic information generate the diversity of life? What determines the rate of evolution?…

Populations and Evolution · Quantitative Biology 2018-04-23 Richard A. Neher , Aleksandra M. Walczak

The gene networks that comprise the circadian clock modulate biological function across a range of scales, from gene expression to performance and adaptive behaviour. The clock functions by generating endogenous rhythms that can be…

Molecular Networks · Quantitative Biology 2012-10-25 Ozgur Akman , Steven Watterson , Andrew Parton , Nigel Binns , Andrew Millar , Peter Ghazal

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

Gene expression programming, a genotype/phenotype genetic algorithm (linear and ramified), is presented here for the first time as a new technique for the creation of computer programs. Gene expression programming uses character linear…

Artificial Intelligence · Computer Science 2007-05-23 Candida Ferreira