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Eukaryotic cells can move spontaneously without being guided by external cues. For such spontaneous movements, a variety of different modes have been observed, including the amoeboid-like locomotion with protrusion of multiple pseudopods,…

Cell Behavior · Quantitative Biology 2009-03-16 Shin I. Nishimura , Masahiro Ueda , Masaki Sasai

Cell cultures exhibit rich and complex behaviors driven by dynamic metabolic interactions among cells. In this work, we present a model that captures these interactions through a framework inspired by statistical mechanics. Using Monte…

Biological Physics · Physics 2025-09-25 A. R. Batista-Tomás , C. Díaz-Faloh , R. Mulet

In Bhattacharya et al. (Science Advances, 2020), a set of chemical reactions involved in the dynamics of actin waves in cells was studied. Both at the microscopic level, where the individual chemical reactions are directly modelled using…

Analysis of PDEs · Mathematics 2023-02-01 Christian Hamster , Peter van Heijster

Cells perform directed motion in response to external stimuli that they detect by sensing the environment with their membrane protrusions. In particular, several biochemical and biophysical cues give rise to tactic migration in the…

Cell Behavior · Quantitative Biology 2020-07-15 N. Loy , M. Conte

The temporal evolution of step-edge fluctuations under electromigration conditions is analysed using a continuum Langevin model. If the electromigration driving force acts in the step up/down direction, and step-edge diffusion is the…

Materials Science · Physics 2009-11-13 P. J. Rous , T. W. Bole

The glassy cytoplasm, crowded with bio-macromolecules, is fluidized in living cells by mechanical energy derived from metabolism. Characterizing the living cytoplasm as a non-equilibrium system is crucial in elucidating the intricate…

Biological Physics · Physics 2023-07-28 K. Umeda , K. Nishizawa , W. Nagao , S. Inokuchi , Y. Sugino , H. Ebata , D. Mizuno

Heterogeneous systems of active matter exhibit a range of complex emergent dynamical patterns. In particular, it is difficult to predict the properties of the mixed system based on its constituents. These considerations are particularly…

Soft Condensed Matter · Physics 2021-04-07 Shlomit Peled , Shawn D. Ryan , Sebastian Heidenreich , Markus Bar , Gil Ariel , Avraham Be'er

We present an individual-based model for two interacting populations diffusing on lattices in which a strong natural selection develops spontaneously. The models combine traditional local predator-prey dynamics with random walks.…

Populations and Evolution · Quantitative Biology 2007-05-23 Monica F. B. Moreira , Marcio P. Dantas , A. T. Costa

Cells generally change their internal state to adapt to an environmental change, and accordingly evolve in response to the new conditions. This process involves phenotypic changes that occur over several different time scales, ranging from…

Populations and Evolution · Quantitative Biology 2015-02-03 Chikara Furusawa , Kunihiko Kaneko

Many cell types display random motility on two-dimensional substrates, but crawl persistently in a single direction when confined in a microchannel or on an adhesive micropattern. Does this imply that the motility mechanism of confined…

Biological Physics · Physics 2014-06-13 Brian A. Camley , Wouter-Jan Rappel

The life of a cell is governed by highly dynamical microscopic processes. Two notable examples are the diffusion of membrane receptors and the kinetics of transcription factors governing the rates of gene expression. Different fluorescence…

Quantitative Methods · Quantitative Biology 2020-04-03 Maxime Woringer , Ignacio Izeddin , Cyril Favard , Hugues Berry

The stochastic trajectories of molecules in living cells, as well as the dynamics in many other complex systems, often exhibit memory in their path over long periods of time. In addition, these systems can show dynamic heterogeneities due…

Statistical Mechanics · Physics 2024-07-10 Michał Balcerek , Agnieszka Wyłomańska , Krzysztof Burnecki , Ralf Metzler , Diego Krapf

The ability of a cell to communicate with its environment is essential for key cellular functions like replication, metabolism, or cell fate decisions. The involved molecular mechanisms are highly dynamic and difficult to capture…

Human-Computer Interaction · Computer Science 2025-09-11 Lena Cibulski , Fiete Haack , Adelinde Uhrmacher , Stefan Bruckner

Diffusive motion is a fundamental transport mechanism in physical and biological systems, governing dynamics across a wide range of scales -- from molecular transport to animal foraging. In many complex systems, however, diffusion deviates…

Statistical Mechanics · Physics 2026-05-01 Takuma Akimoto , Jae-Hyung Jeon , Ralf Metzler , Tomoshige Miyaguchi , Takashi Uneyama , Eiji Yamamoto

Motility is a fundamental survival strategy of bacteria to navigate porous environments. Swimming cells thrive in quiescent wetlands and sediments at the bottom of the marine water column, where they mediate many essential biogeochemical…

Soft Condensed Matter · Physics 2022-01-11 Amin Dehkharghani , Nicolas Waisbord , Jeffrey S. Guasto

We study general aspects of active motion with fluctuations in the speed and the direction of motion in two dimensions. We consider the case in which fluctuations in the speed are not correlated to fluctuations in the direction of motion,…

Biological Physics · Physics 2009-11-13 Fernando Peruani , Luis G. Morelli

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

A number of factors, such as, cell-cell interactions and self-propulsion of cells driven by cytoskeletal forces determine tissue morphologies and dynamics. To explore the interplay between these factors in controlling the dynamics at the…

Soft Condensed Matter · Physics 2025-05-12 Rajsekhar Das , Xin Li , Sumit Sinha , D. Thirumalai

The evolution of multicellularity was a major transition in the history of life on earth. Conditions under which multicellularity is favored have been studied theoretically and experimentally. But since the construction of a multicellular…

Populations and Evolution · Quantitative Biology 2018-03-19 Jason Olejarz , Kamran Kaveh , Carl Veller , Martin A. Nowak

Cell motility is fundamental to many biological processes, and cells exhibit a variety of migration patterns. Many motile cell types follow a universal law that connects their speed and persistency, a property that can originate from the…

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