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Cells integrate signals and make decisions about their future state in short amounts of time. A lot of theoretical effort has gone into asking how to best design gene regulatory circuits that fulfill a given function, yet little is known…

Molecular Networks · Quantitative Biology 2025-10-08 Tarek Tohme , Massimo Vergassola , Thierry Mora , Aleksandra M. Walczak

Using scaling arguments and extensive numerical simulations, we study dynamics of a tracer particle in a corrugated channel represented by a periodic sequence of broad chambers and narrow funnel-like bottlenecks enclosed by a hard-wall…

Statistical Mechanics · Physics 2023-07-19 A. Valov , V. Avetisov , S. Nechaev , G. Oshanin

We study the mean velocity and diffusion constant in three related models of molecular Brownian ratchets. Brownian ratchets can be used to describe translocation of biopolymers like DNA through nanopores in cells in the presence of…

Statistical Mechanics · Physics 2018-08-08 Matthias Uhl , Udo Seifert

We derive novel analytic tools for the discrete Bass model, which models the diffusion of new products on networks. We prove that the probability that any two nodes adopt by time t, is greater than or equal to the product of the…

Probability · Mathematics 2023-08-28 Gadi Fibich , Tomer Levin

Motivation: Recent studies of genomic-scale regulatory networks suggested that a feed-forward loop (FFL) circuitry is a key component of many such networks. This led to a study of the functional properties of different FFL types, where the…

Molecular Networks · Quantitative Biology 2008-02-26 Yonatan Bilu

Using analytical calculations and computer simulations we consider both the lateral diffusion of a membrane protein and the fluctuation spectrum of the membrane in which the protein is embedded. The membrane protein interacts with the…

Soft Condensed Matter · Physics 2015-05-18 Ellen Reister-Gottfried , Stefan M. Leitenberger , Udo Seifert

Genes are connected in complex networks of interactions where often the product of one gene is a transcription factor that alters the expression of another. Many of these networks are based on a few fundamental motifs leading to switches…

Molecular Networks · Quantitative Biology 2026-03-05 Zitao Yang , Rebecca J. Rousseau , Sara D. Mahdavi , Hernan G. Garcia , Rob Phillips

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

Big Data works perfectly along with Deep learning to extract knowledge from a huge amount of data. However, this processing could take a lot of training time. Genomics is a Big Data science with high dimensionality. It relies on deep…

Neural and Evolutionary Computing · Computer Science 2024-05-28 Tasnim Assali , Zayneb Trabelsi Ayoub , Sofiane Ouni

Eukaryotic transcription generally occurs in bursts of activity lasting minutes to hours; however, state-of-the-art measurements have revealed that many of the molecular processes that underlie bursting, such as transcription factor binding…

Subcellular Processes · Quantitative Biology 2020-12-21 Nicholas C. Lammers , Yang Joon Kim , Jiaxi Zhao , Hernan G. Garcia

Experimental studies of systems containing active proteins that undergo conformational changes driven by catalytic chemical reactions have shown that the diffusion coefficients of passive tracer particles and active molecules are larger…

Soft Condensed Matter · Physics 2017-02-27 Matthew Dennison , Raymond Kapral , Holger Stark

We present a statistical mechanical model of aggregation in colloidal systems with DNA mediated interactions. We obtain a general result for the two-particle binding energy in terms of the hybridization free energy $\Delta G$ of DNA and two…

Statistical Mechanics · Physics 2009-11-11 Nicholas A. Licata , Alexei V. Tkachenko

The paper addresses the single-file diffusion in the presence of an absorbing boundary. The emphasis is on an interplay between the hard-core interparticle interaction and the absorption process. The resulting dynamics exhibits several…

Statistical Mechanics · Physics 2014-02-26 Artem Ryabov , Petr Chvosta

We investigated the energy transfer from active enzymes to their surroundings in crowded environments by measuring the diffusion of passive microscopic tracers in active solutions of ficoll and glycerol. Despite observing lower rates of…

Although mechanical properties of DNA are well characterized at the kilo base-pair range, a number of recent experiments have suggested that DNA is more flexible at shorter length scales, which correspond to the regime that is crucial for…

Biomolecules · Quantitative Biology 2015-06-11 Agnes Noy , Ramin Golestanian

Protein complexes involved in DNA mismatch repair appear to diffuse along dsDNA in order to locate a hemimethylated incision site via a dissociative mechanism. Here, we study the probability that these complexes locate a given target site…

Subcellular Processes · Quantitative Biology 2021-05-12 Kyle Crocker , James London , Andrés Medina , Richard Fishel , Ralf Bundschuh

We show, using differential dynamic microscopy, that the diffusivity of non-motile cells in a three-dimensional (3D) population of motile E. coli is enhanced by an amount proportional to the active cell flux. While non-motile mutants…

Biological Physics · Physics 2013-11-07 A. Jepson , V. A. Martinez , J. Schwarz-Linek , A. Morozov , W. C. K. Poon

Protein folding processes are generally described statistically with the help of multidimensional free energy landscape, typically reduced to a 1-D free energy profile along good reaction co-ordinate. There are many physical parameters…

Biological Physics · Physics 2017-05-04 Debajyoti De , Anurag Singh , Amar Nath Gupta

The role of thermal pressure fluctuation excited within tightly packaged DNA prior to ejection from protein capsid shells is discussed in a model calculation. At equilibrium before ejection we assume the DNA is folded many times into a…

Biological Physics · Physics 2010-12-22 Michael J. Harrison

Increasing evidence suggests that chromosome folding and genetic expression are intimately connected. For example, the co-expression of a large number of genes can benefit from their spatial co-localization in the cellular space.…

Soft Condensed Matter · Physics 2018-03-13 Guillaume Le Treut