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Microorganisms often perform chemotaxis, (i.e., sensing and moving toward a region with a higher concentration of an attractive chemical) by changing the rate of tumbling for random walk. We studied several models with internal adaptive…

Statistical Mechanics · Physics 2009-11-11 Masayo Inoue , Kunihiko Kaneko

The more we learn about the cytoplasm of cells, the more we realise that the cytoplasm is not uniform but instead is highly inhomogeneous. In any inhomogeneous solution, there are concentration gradients, and particles move either up or…

Subcellular Processes · Quantitative Biology 2019-04-03 Richard P. Sear

Living cells are capable of interacting with their environments in a variety of ways, including cell signalling, adhesion, and directed motion. These behaviours are often mediated by receptor molecules embedded in the cell membrane, which…

Biological Physics · Physics 2023-10-17 Hannah Sleath , Bortolo Mognetti , Yuval Elani , Lorenzo Di Michele

A phase field approach is proposed to model the chemotaxis of Dictyostelium discoideum. In this framework, motion is controlled by active forces as determined by the Meinhardt model of chemical dynamics which is used to simulate directional…

Biological Physics · Physics 2023-03-01 Yunsong Zhang , Herbert Levine , Yanxiang Zhao

Through evolution, bacteria have developed the ability to perform chemotactic motion in order to find nourishment. By adopting a machine learning approach, we aim to understand how this behavior arises. We consider run-and-tumble agents…

Soft Condensed Matter · Physics 2026-01-13 Nicholas Tovazzi , Gorka Muñoz-Gil , Michele Caraglio

We present a continuum model trained on molecular dynamics (MD) simulations for cellular membranes composed of an arbitrary number of lipid types. The model is constructed within the formalism of dynamic density functional theory and can be…

Active matter systems comprise self-propelled particles that move on a substrate while leaving chemical trails that influence other particles through chemotaxis (e.g., slime-depositing bacteria). Orientational chemotaxis manifests as a…

Soft Condensed Matter · Physics 2025-12-11 Aymeric Lutier , Frédéric van Wijland , Jean-Baptiste Fournier

Adaptive response to a varying environment is a common feature of biological organisms. Reproducing such features in electronic systems and circuits is of great importance for a variety of applications. Here, we consider memory models…

Cell Behavior · Quantitative Biology 2013-10-29 Fabio Lorenzo Traversa , Yuriy V. Pershin , Massimiliano Di Ventra

Coarse-graining is central to reducing dimensionality in molecular dynamics, and is typically characterized by a mapping which projects the full state of the system to a smaller class of variables. While extensive literature has been…

Probability · Mathematics 2020-01-08 Frédéric Legoll , Tony Lelièvre , Upanshu Sharma

The reaction-diffusion models have been extensively applied to explain the mechanism of pattern formations in early embryogenesis based on geometrically confined microtissues consisting of human pluripotent stem cells. Recently, mechanical…

Biological Physics · Physics 2022-11-22 Tiankai Zhao , Hongyan Yuan

Chemotaxis, i.e. motion generated by chemical gradients, is a motility mode shared by many living species that has been developed by evolution to optimize certain biological processes such as foraging or immune response. In particular,…

Soft Condensed Matter · Physics 2023-05-24 Hugues Meyer , Heiko Rieger

We show techniques of analyzing complex dynamics of cellular automata (CA) with chaotic behaviour. CA are well known computational substrates for studying emergent collective behaviour, complexity, randomness and interaction between order…

Cellular Automata and Lattice Gases · Physics 2012-03-29 Genaro J. Martinez , Andrew Adamatzky , Ramon Alonso-Sanz

In this paper we develop a field-theoretic description for run and tumble chemotaxis, based on a density functional description of crystalline materials modified to capture orientational ordering. We show that this framework, with its…

Soft Condensed Matter · Physics 2021-03-10 Purba Chatterjee , Nigel Goldenfeld

Constructing physical models of living cells and tissues is an extremely challenging task because of the high complexities of both intra- and intercellular processes. In addition, the force that a single cell generates vanishes in total due…

Soft Condensed Matter · Physics 2019-05-09 Mitsusuke Tarama , Kenji Mori , Ryoichi Yamamoto

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 2025-08-20 Jing An , Alexander Kiselev , Yao Yao

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

A rigorous limit procedure is presented which links nonlocal models involving adhesion or nonlocal chemotaxis to their local counterparts featuring haptotaxis and classical chemotaxis, respectively. It relies on a novel reformulation of the…

Analysis of PDEs · Mathematics 2019-11-27 Maria Krasnianski , Kevin Painter , Christina Surulescu , Anna Zhigun

Motile biological cells in tissue often display the phenomenon of durotaxis, i.e. they tend to move towards stiffer parts of substrate tissue. The mechanism for this behavior is not completely understood. We consider simplified models for…

Biological Physics · Physics 2019-01-03 Charles R. Doering , Xiaoming Mao , Leonard M. Sander

In cellular automata with memory, the unchanged maps of the conventional cellular automata are applied to cells endowed with memory of their past states in some specified interval. We implement Rule 30 automata with a majority memory and…

Cellular Automata and Lattice Gases · Physics 2010-11-23 Genaro J. Martinez , Andrew Adamatzky , Ramon Alonso-Sanz , J. C. Seck-Touh-Mora

Accelerators with power-law memory are proposed in the framework of the discrete time approach. To describe discrete accelerators we use the capital stock adjustment principle, which has been suggested by Matthews.The suggested discrete…

Economics · Quantitative Finance 2017-07-25 Valentina V. Tarasova , Vasily E. Tarasov
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