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Coherent oscillatory activity can arise spontaneously as a result of increased coupling in a system of excitable and passive cells, each being quiescent in isolation. This can potentially explain the appearance of spontaneous rhythmic…

Disordered Systems and Neural Networks · Physics 2012-12-17 Jinshan Xu , Rajeev Singh , Nicolas Garnier , Sitabhra Sinha , Alain Pumir

The dynamics of stochastic reaction networks within cells are inevitably modulated by factors considered extrinsic to the network such as for instance the fluctuations in ribsome copy numbers for a gene regulatory network. While several…

Quantitative Methods · Quantitative Biology 2015-06-19 Christoph Zechner , Heinz Koeppl

Within systems biology there is an increasing interest in the stochastic behavior of genetic and biochemical reaction networks. An appropriate stochastic description is provided by the chemical master equation, which represents a continuous…

Biological Physics · Physics 2011-06-23 E. Giampieri , D. Remondini , L. de Oliveira , G. Castellani , P. Lió

Organisms use specialized sensors to measure their environments, but the fundamental principles that determine their accuracy remain largely unknown. In Escherichia coli chemotaxis, we previously found that gradient-climbing speed is…

Biological Physics · Physics 2025-08-28 Henry H. Mattingly , Keita Kamino , Jude Ong , Rafaela Kottou , Thierry Emonet , Benjamin B. Machta

Timing is essential for many cellular processes, from cellular responses to external stimuli to the cell cycle and circadian clocks. Many of these processes are based on gene expression. For example, an activated gene may be required to…

Molecular Networks · Quantitative Biology 2017-02-24 Alma Dal Co , Marco Cosentino Lagomarsino , Michele Caselle , Matteo Osella

To study the fluctuations and dynamics in chemical reaction processes, stochastic differential equations based on the rate equation involving chemical concentrations are often adopted. When the number of molecules is very small, however,…

Chemical Physics · Physics 2007-05-23 Yuichi Togashi , Kunihiko Kaneko

Chemotaxis and reactions are fundamental processes in biology, often intricately intertwined. Chemotaxis, in particular, can be crucial in maintaining and accelerating a reaction. In this work, we extend the investigation initiated by…

Analysis of PDEs · Mathematics 2024-12-31 Crystianne L. De Andrade , Alexander A. Kiselev

Cellular transformations which involve a significant phenotypical change of the cell's state use bistable biochemical switches as underlying decision systems. In this work, we aim at linking cellular decisions taking place on a time scale…

Cell Behavior · Quantitative Biology 2010-05-11 Steffen Waldherr , Jingbo Wu , Frank Allgöwer

Motivated by observations of the dynamics of {\it Myxococcus xanthus}, we present a self-interacting random walk model that describes the competition between chemokinesis and chemotaxis. Cells are constrained to move in one dimension, but…

Statistical Mechanics · Physics 2016-08-31 Maria R. D'Orsogna , Marc Suchard , Tom Chou

Chemotaxis is the response of a particle to a gradient in the chemical composition of the environment. While it was originally observed for biological organisms, it is of great interest in the context of synthetic active particles such as…

Soft Condensed Matter · Physics 2017-05-02 Laurens Deprez , Pierre de Buyl

According to the chemical reaction network theory, the topology of a certain class of chemical reaction networks, regardless of the kinetic details, sets a limit on the dynamical properties that a particular network can potentially admit;…

Molecular Networks · Quantitative Biology 2014-08-21 Jaewook Joo , Sanjeev Chauhan

A simple model is studied for the chemotactic movement of biological cells in the presence of a periodic chemical wave. It incorporates the feature of adaptation that may play an important role in allowing for ``rectified" chemotaxis:…

Condensed Matter · Physics 2009-10-28 Raymond E. Goldstein

Single-cell studies often show significant phenotypic variability due to the stochastic nature of intra-cellular biochemical reactions. When the numbers of molecules, e.g., transcription factors and regulatory enzymes, are in low abundance,…

Quantitative Methods · Quantitative Biology 2015-06-17 Kyung Hyuk Kim , Hong Qian , Herbert M. Sauro

Robustness and sensitivity of responses generated by cell signaling networks has been associated with survival and evolvability of organisms. However, existing methods analyzing robustness and sensitivity of signaling networks ignore the…

Quantitative Methods · Quantitative Biology 2013-10-31 Sayak Mukherjee , Sang-Cheol Seok , Veronica J. Vieland , Jayajit Das

Self-organization of proteins in space and time is of crucial importance for the functioning of cellular processes. Often, this organization takes place in the presence of strong random fluctuations due to the small number of molecules…

Subcellular Processes · Quantitative Biology 2010-09-22 Elisabeth Fischer-Friedrich , Giovanni Meacci , Joe Lutkenhaus , Hugues Chate , Karsten Kruse

Cell migration is a fundamental process involved in physiological phenomena such as the immune response and morphogenesis, but also in pathological processes, such as the development of tumor metastasis. These functions are effectively…

Cell Behavior · Quantitative Biology 2018-12-26 Christèle Etchegaray , Nicolas Meunier

The interplay between cellular growth and cell-cell signaling is essential for the aggregation and proliferation of bacterial colonies, as well as for the self-organization of cell tissues. To investigate this interplay, we focus here on…

We consider the chemotaxis problem for a one-dimensional system. To analyze the interaction of bacteria and attractant we use a modified Keller-Segel model which accounts attractant absorption. To describe the system we use the chemotaxis…

Biological Physics · Physics 2017-02-15 Alex Vasilev

Phototaxis is an important reaction to light displayed by a wide range of motile microorganisms. Flagellated eukaryotic microalgae in particular, like the model organism Chlamydomonas reinhardtii, steer either towards or away from light by…

Cell Behavior · Quantitative Biology 2016-11-28 Jorge Arrieta , Ana Barreira , Maurizio Chioccioli , Marco Polin , Idan Tuval

Cells generally change their internal state to adapt to an environmental change, and accordingly evolve in response to the new conditions. This process involves phenotypic changes that occur over several different time scales, ranging from…

Populations and Evolution · Quantitative Biology 2015-02-03 Chikara Furusawa , Kunihiko Kaneko
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