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Response time-delay is an ubiquitous phenomenon in biological systems. Here we use a simple stochastic population model with time-delayed switching-rate conversion to quantitatively study the biological influence of the response time-delay…

Populations and Evolution · Quantitative Biology 2009-04-14 Xiao chuan Xue , Jinhua Zhao , Fei Liu , Zhong-can Ou-Yang

Autologous chemotaxis is the process in which cells secrete and detect molecules to determine the direction of fluid flow. Experiments and theory suggest that autologous chemotaxis fails at high cell densities because molecules from other…

Biological Physics · Physics 2023-05-08 Louis González , Andrew Mugler

Bacteria are often exposed to multiple stimuli in complex environments, and their efficient chemotactic decisions are critical to survive and grow in their native environments. Bacterial responses to the environmental stimuli depend on the…

Quantitative Methods · Quantitative Biology 2021-06-10 Jeungeun Park , Zahra Aminzare

Cells measure concentrations of external ligands by capturing ligand molecules with cell surface receptors. The numbers of molecules captured by different receptors co-vary because they depend on the same extrinsic ligand fluctuations.…

Neurons and Cognition · Quantitative Biology 2016-09-21 Vijay Singh , Martin Tchernookov , Ilya Nemenman

Cells sense environmental signals and transmit information intracellularly through changes in the abundance of molecular components. Such molecular abundances can be measured in single cells and exhibit significant heterogeneity in clonal…

Quantitative Methods · Quantitative Biology 2024-09-27 Raymond Fan , Andreas Hilfinger

Most sensory cells use surface receptors to detect environmental stimuli and initiate downstream signaling. Cooperative interactions among sensory receptors is known to play a crucial role in enhancing the sensitivity of biochemical…

Molecular Networks · Quantitative Biology 2014-01-15 Jianmin Sun , Michael Grabe

Cells receive signaling molecules by receptors and relay information via sensory networks so that they can respond properly depending on the type of signal. Recent studies have shown that cells can extract multi-dimensional information from…

Biological Physics · Physics 2018-02-14 Yoshihiko Hasegawa

Chemotaxis, the directional locomotion of cells towards a source of a chemical gradient, is an integral part of many biological processes - for example, bacteria motion, single-cell or multicellular organisms development, immune response,…

Analysis of PDEs · Mathematics 2021-03-29 Yishu Gong , Alexander Kiselev

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

This work reports on two results. At first we revisit the Berg and Purcell calculation that provides a lower bound to the error in concentration measurement by cells, by considering the realistic case when the cell starts measuring the…

Subcellular Processes · Quantitative Biology 2022-04-06 Vaibhav Wasnik

Many chemotactic bacteria inhabit environments in which chemicals appear as localized pulses and evolve by processes such as diffusion and mixing. We show that, in such environments, physical limits on the accuracy of temporal gradient…

Biological Physics · Physics 2016-01-19 Andrew M. Hein , Douglas R. Brumley , Francesco Carrara , Roman Stocker , Simon A. Levin

Cells continuously probe their environment with membrane receptors, achieving subsecond adaptation of their behaviour [1-3]. Recently, several receptors, including cadherins, were found to bind ligands with a lifetime of order of one…

Cell Behavior · Quantitative Biology 2007-09-26 Anne Pierres , Anil Prakasam , Dominique Touchard , Anne-Marie Benoliel , Pierre Bongrand , Deborah Leckband

We compare chemotaxis, the migration of cells and higher animals in reaction to a chemical stimulus, and similar phenomena originating within gases from temperature differences. Then we explain two easy mathematical models for handling…

Computational Physics · Physics 2007-05-23 Sara L. Vesely

Berg and Purcell [Biophys. J. 20, 193 (1977)] calculated how the accuracy of concentration sensing by single-celled organisms is limited by noise from the small number of counted molecules. Here we generalize their results to the sensing of…

Molecular Networks · Quantitative Biology 2011-11-28 Thierry Mora , Ned S. Wingreen

The precision of concentration sensing is improved when cells communicate. Here we derive the physical limits to concentration sensing for cells that communicate over short distances by directly exchanging small molecules (juxtacrine…

Biological Physics · Physics 2017-03-15 Sean Fancher , Andrew Mugler

How cells reliably infer information about their environment is a fundamentally important question. While sensing and signaling generally start with cell-surface receptors, the degree of accuracy with which a cell can measure external…

Biological Physics · Physics 2016-01-20 Gerardo Aquino , Ned S. Wingreen , Robert G. Endres

In recent years it is increasingly being recognized that biochemical signals are not necessarily constant in time and that the temporal dynamics of a signal can be the information carrier. Moreover, it is now well established that…

Molecular Networks · Quantitative Biology 2015-06-17 Wiet de Ronde , Pieter Rein ten Wolde

In this paper the first equation within a class of well known chemotaxis systems is derived as a hydrodynamic limit from a stochastic interacting many particle system on the lattice. The cells are assumed to interact with attractive…

Probability · Mathematics 2018-04-26 Stefan Grosskinsky , Daniel Marahrens , Angela Stevens

This paper studies a chemotaxis system where cells move in response to a chemical signal within a confined habitat. The model includes external source terms that combine local and nonlocal growth with dampening effects. The main focus is on…

Analysis of PDEs · Mathematics 2025-11-11 Rafael Diaz Fuentes , Fatma Gamze Duzgun , Silvia Frassu , Giuseppe Viglialoro

Bacteria are able to respond to environmental signals by changing their rules of movement. When we take into account chemical signals in the environment, this behaviour is often called chemotaxis. At the individual-level, chemotaxis…

Analysis of PDEs · Mathematics 2007-05-23 Radek Erban , Hyung Ju Hwang
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