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Classic experiments on the distribution of ducks around separated food sources found consistency with the `ideal free' distribution in which the local population is proportional to the local supply rate. Motivated by this experiment and…

Biological Physics · Physics 2015-08-19 Francois J. Peaudecerf , Raymond E. Goldstein

Directional chemosensing is ubiquitous in cell biology, but some cells such as mating yeast paradoxically degrade the signal they aim to detect. While the data processing inequality suggests that such signal modification cannot increase the…

Biological Physics · Physics 2023-10-04 Ryan LeFebre , Joseph A. Landsittel , David E. Stone , Andrew Mugler

Self-generated gradients (SGG) provide robust steering cues that guide cells in their long-distance expeditions during embryonic development, immune response, and cancer metastasis. Cells generate their own local, dynamic gradients by…

Soft Condensed Matter · Physics 2021-09-29 Himadri S Samanta

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 three-dimensional hydrodynamical model for a micro random walker is combined with the idea of chemotactic signaling network of E. coli. Diffusion exponents, orientational correlation functions and their dependence on the geometrical and…

Soft Condensed Matter · Physics 2014-10-02 H. Mohammady , B. Esckandariun , A. Najafi

The emerging field of immunometabolism has underscored the central role of metabolic pathways in orchestrating immune cell function. Far from being passive background processes, metabolic activities actively regulate key immune responses.…

Cell Behavior · Quantitative Biology 2025-06-04 Sunayana Malla , Nabia Shahreen , Rajib Saha

Chemotaxis and auto-chemotaxis play an important role in many essential biological processes. We present a self-propelling artificial swimmer system which exhibits chemotaxis as well as negative auto-chemotaxis. Oil droplets in an aqueous…

Soft Condensed Matter · Physics 2019-10-15 Chenyu Jin , Carsten Krüger , Corinna C. Maass

Phototaxis, the process by which living organisms navigate toward optimal light conditions, is essential for motile photosynthetic microorganisms. Positive(negative) phototaxis denotes the motion directed towards(away from) the source of…

Biological Physics · Physics 2025-07-01 A. Rathi , M. K. Panda , S. K. Rajput

A common feature of biological self-organization is how active agents communicate with each other or their environment via chemical signaling. Such communications, mediated by self-generated chemical gradients, have consequences for both…

Soft Condensed Matter · Physics 2023-11-07 Babak Vajdi Hokmabad , Suropriya Saha , Jaime Agudo-Canalejo , Ramin Golestanian , Corinna C. Maass

Quasi-one-dimensional bidirectional particle flow including the effect of chemotaxis is investigated through a modification of the John-Schadschneider-Chowdhury-Nishinari model. Specifically, we permit multiple lanes to be shared by both…

Pattern Formation and Solitons · Physics 2015-05-14 Masashi Fujii , Akinori Awazu , Hiraku Nishimori

Partial differential equation (PDE) models for infectious disease have received renewed interest in recent years. Most models of this type extend classical compartmental formulations with additional terms accounting for spatial dynamics,…

Populations and Evolution · Quantitative Biology 2025-04-29 Pierluigi Colli , Gabriela Marinoschi , Elisabetta Rocca , Alex Viguerie

The survival of many microorganisms, like \textit{Leptospira} or \textit{Spiroplasma} bacteria, can depend on their ability to navigate towards regions of favorable viscosity. While this ability, called viscotaxis, has been observed in…

Soft Condensed Matter · Physics 2018-05-23 Benno Liebchen , Paul Monderkamp , Borge ten Hagen , Hartmut Löwen

Chemotaxis of enzymes in response to gradients in the concentration of their substrate has been widely reported in recent experiments, but a basic understanding of the process is still lacking. Here, we develop a microscopic theory for…

Biological Physics · Physics 2021-04-07 Jaime Agudo-Canalejo , Pierre Illien , Ramin Golestanian

Active navigation in disordered media depends on a biased random walk interacting with environmental constraints. Using E. coli chemotactic navigation in agar gels as a model system, we reveal a fundamental trade-off between diffusive…

Soft Condensed Matter · Physics 2025-12-23 Yang Bai , Caiyun He , Weirong Liu , Songtao Cheng , Pan Chu , Liang Luo , Chenli Liu , Xiongfei Fu

An important component in studying mathematical models in many biochemical systems, such as those found in developmental biology, is phase transition. The purpose of this work is to analyze the phase transition property of a…

Analysis of PDEs · Mathematics 2013-12-19 Masoud Yari

In response to a concentration gradient of nutrient, E. coli bacterium modulates the rotational bias of flagellar motors which control its run-and-tumble motion, to migrate towards regions of high nutrient concentration. Presence of…

Cell Behavior · Quantitative Biology 2018-04-04 Subrata Dev , Sakuntala Chatterjee

The ability to navigate in complex, inhomogeneous environments is fundamental to survival at all length scales, giving rise to the rapid development of various subfields in bio-locomotion such as the well established concept of chemotaxis.…

Soft Condensed Matter · Physics 2020-05-06 Yuanjian Zheng , Hartmut Löwen

The present work was inspired by the recent developments in laboratory experiments made on chip, where culturing of multiple cell species was possible. The model is based on coupled reaction-diffusion-transport equations with chemotaxis,…

Numerical Analysis · Mathematics 2020-07-22 E. C. Braun , G. Bretti , R. Natalini

Morphogen transport is a biological process, occurring in the tissue of living organisms, which is a determining step in cell differentiation. We present rigorous analysis of a simple model of this process, which is a system coupling…

Analysis of PDEs · Mathematics 2014-12-17 Marcin Małogrosz

Collective cell migration is a multicellular phenomenon that arises in various biological contexts, including cancer and embryo development. "Collectiveness" can be promoted by cell-cell interactions such as co-attraction and contact…

Cell Behavior · Quantitative Biology 2023-10-03 Viktoria Freingruber , Kevin J. Painter , Mariya Ptashnyk , Linus Schumacher