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Many eukaryotic cells chemotax, sensing and following chemical gradients. However, experiments have shown that even under conditions when single cells cannot chemotax, small clusters may still follow a gradient. This behavior has been…

Biological Physics · Physics 2023-07-19 Brian A. Camley , Juliane Zimmermann , Herbert Levine , Wouter-Jan Rappel

Autopsy studies of adults dying of non-cancer causes have shown that virtually all of us possess occult, cancerous lesions. This suggests that, for most individuals, cancer will become dormant and not progress, while only in some will it…

Quantitative Methods · Quantitative Biology 2014-06-06 Sébastien Benzekry , Alberto Gandolfi , Philip Hahnfeldt

Cells, other than their biological properties, have different electric and physical properties. In an impedance cytometer, cells should pass one by one in the detection region where pairs of electrodes are located. When cells are located…

Signal Processing · Electrical Eng. & Systems 2022-03-09 Hassan Raji , Iraj Dehghan Hamani

Chemotactic cells establish cell polarity in the absence of external guidance cues. Such self-organized polarity is induced by spontaneous symmetry breaking in the intracellular activities, which produces an emergent memory effect…

Cell Behavior · Quantitative Biology 2015-06-16 Tetsuya Hiraiwa , Akihiro Nagamatsu , Naohiro Akuzawa , Masatoshi Nishikawa , Tatsuo Shibata

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

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

In modeling the inflammatory response to a lesion in an artery wall, there are a number of chemotactic mechanisms going on within the wall layer that lead to an arterial plaque. We introduce a rather reduced model of these dynamic…

Analysis of PDEs · Mathematics 2015-11-10 Jonathan Bell , Animikh Biswas

Three-dimensional cultures of cells are gaining popularity as an in vitro improvement over 2D Petri dishes. In many such experiments, cells have been found to organize in aggregates. We present new results of three-dimensional in vitro…

Cell Behavior · Quantitative Biology 2018-11-01 Federica Bubba , Camille Pouchol , Nathalie Ferrand , Guillaume Vidal , Luis Almeida , Benoıt Perthame , Michèle Sabbah

Chemotaxis is a fundamental mechanism of cells and organisms, which is responsible for attracting microbes to food, embryonic cells into developing tissues, or immune cells to infection sites. Mathematically chemotaxis is described by the…

Analysis of PDEs · Mathematics 2020-09-30 Erika Hausenblas , Debopriya Mukherjee , Thanh Tran

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

Micro-organisms aggregate through chemotaxis against a concentration gradient of signals secreted by themselves. We have numerically studied a model consisting of elements with intracellular dynamics, random walks with a state-dependent…

Statistical Mechanics · Physics 2007-10-31 Masayo Inoue , Kunihiko Kaneko

Chemotaxis is a directed cell movement in response to external chemical stimuli. In this paper, we propose a simple model for the origin of chemotaxis - namely how a directed movement in response to an external chemical signal may occur…

Analysis of PDEs · Mathematics 2023-06-30 Yishu Gong , Alexander Kiselev

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

In a previous paper we have introduced a phenomenological model of cell metabolism and of the cell cycle to simulate the behavior of large tumor cell populations (Chignola R and Milotti E, Phys. Biol. 2 (2005) 8-22). Here we describe a…

Biological Physics · Physics 2009-11-13 Roberto Chignola , Alessio Del Fabbro , Chiara Dalla Pellegrina , Edoardo Milotti

Chemical control of the spontaneous motion of a reactive oil droplet moving on a glass substrate under an aqueous phase is reported. Experimental results show that the self-motion of an oil droplet is confined on an acid-treated glass…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Yutaka Sumino , Masaharu Nagayama , Hiroyuki Kitahata , Shin-ichiro M. Nomura , Nobuyuki Magome , Yoshihito Mori , Kenichi Yoshikawa

The hydrodynamic limit of a one dimensional kinetic model describing chemotaxis is investigated. The limit system is a conservation law coupled to an elliptic problem for which the macroscopic velocity is possibly discontinuous. Therefore,…

Analysis of PDEs · Mathematics 2010-10-19 Francois James , Nicolas Vauchelet

Artificially engineered biosensors are highly inefficient in accurately measuring the concentration of biomarkers, particularly, during early diagnosis of diseases. On the other hand, single cellular systems such as chemotactic bacteria can…

Biological Physics · Physics 2019-07-12 Tuhin Chakrabortty , Manoj M Varma

Chemotaxis in bacteria such as \textit{E.\ coli} is controlled by the slow methylation of chemoreceptors. As a consequence, intrinsic time and length scales of tens of seconds and hundreds of micrometers emerge, making the Keller--Segel…

Soft Condensed Matter · Physics 2025-04-23 Manuel Mayo , Rodrigo Soto

This work deals with a chemotaxis model where an external source involving a sub and superquadratic growth effect contrasted by nonlocal dampening reaction influences the motion of a cell density attracted by a chemical signal. We study the…

Analysis of PDEs · Mathematics 2023-07-28 Yutaro Chiyo , Fatma Ga mze D Düzgün , Silvia Frassu , Giuseppe Viglialoro

In this paper, we propose a tumor growth model to incorporate and investigate the spatial effects of autophagy. The cells are classified into two phases: normal cells and autophagic cells, whose dynamics are also coupled with the nutrients.…

Analysis of PDEs · Mathematics 2021-08-31 Xu'an Dou , Jian-Guo Liu , Zhennan Zhou
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