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Background: Living cells of many types need to move in response to external stimuli in order to accomplish their functional tasks; these tasks range from wound healing to immune response to fertilization. While the directional motion is…

Cell Behavior · Quantitative Biology 2015-05-28 Inbal Hecht , Herbert Levine , Wouter-Jan Rappel , Eshel Ben-Jacob

When navigating complex environments, animals often combine multiple strategies to mitigate the effects of external disturbances. These modalities often correspond to different sources of information, leading to speed-accuracy trade-offs.…

Statistical Mechanics · Physics 2025-09-19 Francesco Mori , L. Mahadevan

Animal locomotion is often subject to constraints arising from anatomical/physiological asymmetries. We use the nematode C.~elegans as a minimal model system to ask whether such constraints might shape locomotion patterns optimized during…

Neurons and Cognition · Quantitative Biology 2024-01-17 W. Mathijs Rozemuller , Steffen Werner , Antonio Carlos Costa , Liam O'Shaughnessy , Greg J. Stephens , Thomas S. Shimizu

Navigation in complex and noisy environments is a key issue in diverse fields from biology to engineering. Despite extensive progress in numerical optimization methods for computing navigation policies, insights into how disorder reshapes…

Statistical Mechanics · Physics 2026-05-06 Kévin Bilaï Biloa , Olivier Pierre-Louis

Animal cells can sense chemical gradients without moving, and are faced with the challenge of migrating towards a target despite noisy information on the target position. Here we discuss optimal search strategies for a chaser that moves by…

Biological Physics · Physics 2015-03-18 Pawel Romanczuk , Guillaume Salbreux

Cell migration often exhibits long-range temporal correlations and anomalous diffusion, even in the absence of external guidance cues such as chemical gradients or topographical constraints. These observations raise a fundamental question:…

Quantitative Methods · Quantitative Biology 2025-11-25 Gustavo Cornejo-Olea , Lucas Buvinic , Jerome Darbon , Radek Erban , Andrea Ravasio , Anastasios Matzavinos

For navigation, microscopic agents such as biological cells rely on noisy sensory input. In cells performing chemotaxis, such noise arises from the stochastic binding of signaling molecules at low concentrations. Using chemotaxis of sperm…

Biological Physics · Physics 2018-07-04 Justus A. Kromer , Steffen Märcker , Steffen Lange , Christel Baier , Benjamin M. Friedrich

Animals use a combination of egocentric navigation driven by the internal integration of environmental cues, interspersed with geocentric course correction and reorientation, often with uncertainty in sensory acquisition of information,…

Biological Physics · Physics 2015-12-22 O. Peleg , L. Mahadevan

The response of microbes to external signals is mediated by biochemical networks with intrinsic time scales. These time scales give rise to a memory that impacts cellular behaviour. Here we study theoretically the role of cellular memory in…

Biological Physics · Physics 2020-02-14 Adam Gosztolai , Mauricio Barahona

One of simplest examples of navigation found in nature is run-and-tumble chemotaxis. Tumbles reorient cells randomly, and cells can drift toward attractants or away from repellents by biasing the frequency of these events. The post-tumble…

Soft Condensed Matter · Physics 2017-09-14 Julius B. Kirkegaard , Raymond E. Goldstein

Most of our understanding of bacterial chemotaxis comes from studies of Escherichia coli. However, recent evidence suggests significant departures from the E. coli paradigm in other bacterial species. This variation may stem from different…

Cell Behavior · Quantitative Biology 2015-03-27 Martin Godány , Bhavin S. Khatri , Richard A. Goldstein

As motivated by studies of cellular motility driven by spatiotemporal chemotactic gradients in microdevices, we develop a framework for constructing approximate analytical solutions for the location, speed and cellular densities for cell…

Analysis of PDEs · Mathematics 2022-11-09 Jacobo Ayensa-Jiménez , Mohamed H. Doweidar , Manuel Doblaré , Eamonn A. Gaffney

Efficient search acts as a strong selective force in biological systems ranging from cellular populations to predator-prey systems. The search processes commonly involve finding a stationary or mobile target within a heterogeneously…

Biological Physics · Physics 2018-01-03 Youness Azimzade , Alireza Mashaghi

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

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

In chemotaxis, cells are modulating their migration patterns in response to concentration gradients of a guiding substance. Immune cells are believed to use such chemotactic sensing for remotely detecting and homing in on pathogens.…

Cell Behavior · Quantitative Biology 2019-02-28 Claus Metzner

The bacterium E.Coli swims in a zig-zag manner, in a series of straight runs and tumbles occurring alternately, with the run-durations dependent on the local spatial gradient of chemo-attractants/repellants. This enables the organism to…

Cell Behavior · Quantitative Biology 2008-12-31 Melissa Reneaux , Manoj Gopalakrishnan

In this paper, we conduct a literature review of laws of motion based on stochastic search strategies which are mainly focused on exploring highly dynamic environments. In this regard, stochastic search strategies represent an interesting…

Bacteria such as Escherichia coli (E. coli) exhibit biased motion if kept in a spatially non-uniform chemical environment. Here, we bring out unique time-dependent characteristics of bacterial chemotaxis, in response to a diffusing spatial…

Biological Physics · Physics 2018-12-05 Sibendu Samanta , Ritwik Layek , Shantimoy Kar , Sudipta Mukhopadhyay , Suman Chakraborty

We study the migration of chemotactic wild-type Escherichia coli populations in semisolid (soft) agar in the concentration range C = 0.15-0.5% (w/v). For C < 0.35%, expanding bacterial colonies display characteristic chemotactic rings. At C…

Soft Condensed Matter · Physics 2011-08-09 O. A. Croze , G. P. Ferguson , M. E. Cates , W. C. K. Poon
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