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Collective cell responses to exogenous cues depend on cell-cell interactions. In principle, these can result in enhanced sensitivity to weak and noisy stimuli. However, this has not yet been shown experimentally, and, little is known about…

Cells frequently employ extracellular vesicles, or exosomes, to signal across long distances and coordinate collective actions. Exosomes diffuse slowly, can be actively degraded, and contain stochastic amounts of molecular cargo. These…

Biological Physics · Physics 2025-10-15 Louis González , Andrew Mugler

Single-cell organisms and various cell types use a range of motility modes when following a chemical gradient, but it is unclear which mode is best suited for different gradients. Here, we model directional decision-making in chemotactic…

Cell Behavior · Quantitative Biology 2025-05-12 Albert Alonso , Julius B. Kirkegaard , Robert G. Endres

The phenomenon where cells with elongated protrusions, such as neurons, communicate by contacting other cells and arrange themselves appropriately is termed cell sorting through haptotaxis. This phenomenon is described by partial…

Analysis of PDEs · Mathematics 2026-01-01 Hiroshi Ishii , Hideki Murakawa , Yoshitaro Tanaka

A large variety of microorganisms produce molecules to communicate via complex signaling mechanisms such as quorum sensing and chemotaxis. The biological diversity is enormous, but synthetic inanimate colloidal microswimmers mimic…

Soft Condensed Matter · Physics 2019-10-01 Jens Grauer , Hartmut Löwen , Avraham Be'er , Benno Liebchen

Escherichia coli is a motile bacterium that moves up a chemoattractant gradient by performing a biased random walk composed of alternating runs and tumbles. This paper presents calculations of the chemotactic drift velocity vd (the mean…

Quantitative Methods · Quantitative Biology 2008-04-16 J. T. Locsei , T. J. Pedley

Cells move differently on substrates with different elasticities. In particular, the persistence time of their motion is higher on stiffer substrates. We show that this behavior will result in a net transport of cells directed up a…

Biological Physics · Physics 2017-03-09 Elizaveta A. Novikova , Matthew Raab , Dennis E. Discher , Cornelis Storm

A classical problem describing the collective motion of cells, is the movement driven by consumption/depletion of a nutrient. Here we analyze one of the simplest such model written as a coupled Partial Differential Equation/Ordinary…

Analysis of PDEs · Mathematics 2022-09-02 Pierre-Emmanuel Jabin , Benoît Perthame

Various multicellular tissues show chiral morphology. Experimental studies have shown this can originate from cell chirality. However, no theory has been proposed to connect the cellular chiral torque and multicellular chiral morphogenesis.…

Soft Condensed Matter · Physics 2021-01-04 Takaki Yamamoto , Tetsuya Hiraiwa , Tatsuo Shibata

Active particles with their characteristic feature of self-propulsion are regarded as the simplest models for motility in living systems. The accumulation of active particles in low activity regions has led to the general belief that…

Soft Condensed Matter · Physics 2021-05-26 Hidde D. Vuijk , Holger Merlitz , Michael Lang , Abhinav Sharma , Jens-Uwe Sommer

A simple coupled oscillator system with chemotaxis is introduced to study morphogenesis of cellular slime molds. The model successfuly explains the migration of pseudoplasmodium which has been experimentally predicted to be lead by cells…

adap-org · Physics 2009-10-30 Satoshi Sawai , Yoji Aizawa

Bacteria track chemical gradients using a biased random walk, a process called chemotaxis. Experiments suggest that bacteria also communicate during this process. Using a mathematical model, we find that sufficiently strong communication…

Biological Physics · Physics 2025-12-18 Soutick Saha , Sean Fancher , Andrew Mugler

The simplest prescription for building a patterned structure from its constituents is to add particles, one at a time, to an appropriate template. However, self-organizing molecular and colloidal systems in nature can evolve in much more…

Statistical Mechanics · Physics 2009-04-07 Stephen Whitelam , Edward H. Feng , Michael F. Hagan , Phillip L. Geissler

Motile bacteria can migrate along chemical gradients in a process known as chemotaxis. When exposed to uniform environmental stress, Escherichia coli cells coordinate their chemotactic responses to form millimeter-sized condensates…

Biological Physics · Physics 2025-05-02 Nir Livne , Ady Vaknin , Oded Agam

From the formation of animal flocks to the emergence of coordinate motion in bacterial swarms, at all scales populations of motile organisms display coherent collective motion. This consistent behavior strongly contrasts with the difference…

Soft Condensed Matter · Physics 2013-11-11 Antoine Bricard , Jean-Baptiste Caussin , Nicolas Desreumaux , Olivier Dauchot , Denis Bartolo

Chemotaxis enables cells to systematically approach distant targets that emit a diffusible guiding substance. However, the visual observation of an encounter between a cell and a target does not necessarily indicate the presence of a…

Quantitative Methods · Quantitative Biology 2021-06-22 Claus Metzner , Franziska Hörsch , Christoph Mark , Tina Czerwinski , Alexander Winterl , Caroline Voskens , Ben Fabry

In eukaryotic cell chemotaxis, cells extend and retract transient actin-driven protrusions at their membrane that facilitate both the detection of external chemical gradients and directional movement via the formation of focal adhesions…

Cell Behavior · Quantitative Biology 2025-09-25 Samuel W. S. Johnson , Maddy Parsons , Ruth E. Baker , Philip K. Maini

A key problem of eukaryotic cell motility is the signaling mechanism of chemoattractant gradient sensing. Recent experiments have revealed the molecular correlate of gradient sensing: Frontness molecules, such as PI3P and Rac, localize at…

Cell Behavior · Quantitative Biology 2007-05-23 Atul Narang

In the Drosophila melanogaster egg chamber, the collective migration of border cells toward the oocyte is guided by spatial gradients of chemoattractants. While cellular responses to these cues are well characterized, the spatial…

Analysis of PDEs · Mathematics 2026-04-03 Naghmeh Akhavan , Alexander George , Michelle Starz-Gaiano , Bradford E. Peercy

Collective motion - or flocking - is an emergent phenomena that underlies many biological processes of relevance, from cellular migrations to animal groups movement. In this work, we derive scaling relations for the fluctuations of the mean…

Soft Condensed Matter · Physics 2023-02-13 Martino Brambati , Giuseppe Fava , Francesco Ginelli
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