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Biochemical reaction networks in living cells usually involve reversible covalent modification of signaling molecules, such as protein phosphorylation. Under conditions of small molecule numbers, as is frequently the case in living cells,…

Molecular Networks · Quantitative Biology 2013-05-29 C. Metzner , M. Sajitz-Hermstein , M. Schmidberger , B. Fabry

When a single cell senses a chemical gradient and chemotaxes, stochastic receptor-ligand binding can be a fundamental limit to the cell's accuracy. For clusters of cells responding to gradients, however, there is a critical difference: even…

Cell Behavior · Quantitative Biology 2017-11-09 Brian A. Camley , Wouter-Jan Rappel

Single eukaryotic cells commonly sense and follow chemical gradients, performing chemotaxis. Recent experiments and theories, however, show that even when single cells do not chemotax, clusters of cells may, if their interactions are…

Cell Behavior · Quantitative Biology 2016-07-04 Brian A. Camley , Juliane Zimmermann , Herbert Levine , Wouter-Jan Rappel

Chemotaxis is the physical phenomenon that bacteria adjust their motions according to chemical stimulus. A classical model for this phenomenon is a kinetic equation that describes the velocity jump process whose tumbling/transition kernel…

Analysis of PDEs · Mathematics 2024-01-11 Kathrin Hellmuth , Christian Klingenberg , Qin Li , Min Tang

The metabolic network plays a crucial role in regulating bacterial metabolism and growth, but it is subject to inherent molecular stochasticity. Previous studies have utilized flux balance analysis and the maximum entropy method to predict…

Molecular Networks · Quantitative Biology 2024-01-12 Shaohua Guan , Zhichao Zhang , Zihan Zhang , Hualin Shi

We study methylation dynamics of the chemoreceptors as an {\sl E.coli} cell moves around in a spatially varying chemo-attractant environment. We consider attractant concentration with strong and weak spatial gradient. During the uphill and…

Cell Behavior · Quantitative Biology 2022-01-28 Shobhan Dev Mandal , Sakuntala Chatterjee

The migratory dynamics of cells in physiological processes, ranging from wound healing to cancer metastasis, rely on contact-mediated cell-cell interactions. These interactions play a key role in shaping the stochastic trajectories of…

Collective motion of chemotactic bacteria as E. Coli relies, at the individual level, on a continuous reorientation by runs and tumbles. It has been established that the length of run is decided by a stiff response to a temporal sensingof…

Analysis of PDEs · Mathematics 2018-08-15 Benoît Perthame , Shugo Yasuda

Chemotaxis plays a crucial role in a variety of processes in biology and ecology. Quite often it acts to improve efficiency of biological reactions. One example is the immune system signalling, where infected tissues release chemokines…

Analysis of PDEs · Mathematics 2020-04-15 Alexander Kiselev , Fedor Nazarov , Lenya Ryzhik , Yao Yao

Evolution has provided many organisms with sophisticated sensory systems that enable them to respond to signals in their environment. The response frequently involves alteration in the pattern of movement, such as the chemokinesis of the…

Molecular Networks · Quantitative Biology 2009-11-10 Reka Albert , Yu-wen Chiu , Hans G. Othmer

Bacterial chemotaxis is controlled by the signalling of a cluster of receptors. A cooperative model is presented, in which coupling between neighbouring receptor dimers enhances the sensitivity with which stimuli can be detected, without…

Biological Physics · Physics 2009-10-31 Yu Shi , Thomas Duke

We study single cell E.coli chemotaxis in a spatio-temporally varying attractant environment. Modeling the attractant concentration in the form of a traveling sine wave, we measure in our simulations, the chemotactic drift velocity of the…

Cell Behavior · Quantitative Biology 2025-06-06 Shobhan Dev Mandal , Sakuntala Chatterjee

In nature, microorganisms must often cope with hostile environmental conditions. To do so they have developed sophisticated cooperative behavior and intricate communication capabilities, such as: direct cell-cell physical interactions via…

Condensed Matter · Physics 2007-05-23 Eshel Ben-Jacob , Inon Cohen , Ido Golding , Yonathan Kozlovsky

Understanding the organization of reaction fluxes in cellular metabolism from the stoichiometry and the topology of the underlying biochemical network is a central issue in systems biology. In this task, it is important to devise reasonable…

Molecular Networks · Quantitative Biology 2009-11-13 C. Martelli , A. De Martino , E. Marinari , M. Marsili , I. Perez Castillo

Cell-to-cell variability is inherent to numerous biological processes, including cell migration. Quantifying and characterizing the variability of migrating cells is challenging, as it requires monitoring many cells for long time windows…

Biological Physics · Physics 2021-05-06 David B. Brückner , Alexandra Fink , Joachim O. Rädler , Chase P. Broedersz

The chemotaxis pathway of the bacterium Rhodobacter sphaeroides has many similarities to the well-studied pathway in Escherichia coli. It exhibits robust adaptation and has several homologues of the latter's chemotaxis proteins. Recent…

Molecular Networks · Quantitative Biology 2012-04-10 Abdullah Hamadeh , Brian Ingalls , Eduardo Sontag

Many processes in biology involve both reactions and chemotaxis. However, to the best of our knowledge, the question of interaction between chemotaxis and reactions has not yet been addressed either analytically or numerically. We consider…

Analysis of PDEs · Mathematics 2011-04-05 Alexander Kiselev , Lenya Ryzhik

Unlike macroscopic engines, the molecular machinery of living cells is strongly affected by fluctuations. Stochastic Thermodynamics uses Markovian jump processes to model the random transitions between the chemical and configurational…

Statistical Mechanics · Physics 2015-10-19 Bernhard Altaner , Artur Wachtel , Jürgen Vollmer

Recent work on synthetic rescues has shown that the targeted deletion of specific metabolic genes can often be used to rescue otherwise non-viable mutants. This raises a fundamental biophysical question: to what extent can the whole-cell…

Molecular Networks · Quantitative Biology 2009-12-01 Dong-Hee Kim , Adilson E. Motter

Collective migration -- the directed, coordinated motion of many self-propelled agents -- is a fascinating emergent behavior exhibited by active matter that has key functional implications for biological systems. Extensive studies have…

Biological Physics · Physics 2022-06-07 Tapomoy Bhattacharjee , Daniel B. Amchin , Ricard Alert , J. A. Ott , Sujit S. Datta
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