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      Lymphoidal chemokine CCL19 promoted the heterogeneity of the breast tumor cell motility within a 3D microenvironment revealed by a Lévy distribution analysis

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          Abstract

          Tumor cell heterogeneity, either at the genotypic or the phenotypic level, is a hallmark of cancer. Tumor cells exhibit large variations, even among cells derived from the same origin, including cell morphology, speed and motility type. However, current work for quantifying tumor cell behavior is largely population based and does not address the question of cell heterogeneity. In this article, we utilize Lévy distribution analysis, a method known in both social and physical sciences for quantifying rare events, to characterize the heterogeneity of tumor cell motility. Specifically, we studied the breast tumor cell (MDA-MB-231 cell line) velocity statistics when the cells were subject to well-defined lymphoid chemokine (CCL19) gradients using a microfluidic platform. Experimental results showed that the tail end of the velocity distribution of breast tumor cell was well described by a Lévy function. The measured Lévy exponent revealed that cell motility was more heterogeneous when CCL19 concentration was near the dynamic kinetic binding constant to its corresponding receptor CCR7. This work highlighted the importance of tumor microenvironment in modulating tumor cell heterogeneity and invasion.

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          Most cited references25

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          Scaling laws of marine predator search behaviour.

          Many free-ranging predators have to make foraging decisions with little, if any, knowledge of present resource distribution and availability. The optimal search strategy they should use to maximize encounter rates with prey in heterogeneous natural environments remains a largely unresolved issue in ecology. Lévy walks are specialized random walks giving rise to fractal movement trajectories that may represent an optimal solution for searching complex landscapes. However, the adaptive significance of this putative strategy in response to natural prey distributions remains untested. Here we analyse over a million movement displacements recorded from animal-attached electronic tags to show that diverse marine predators-sharks, bony fishes, sea turtles and penguins-exhibit Lévy-walk-like behaviour close to a theoretical optimum. Prey density distributions also display Lévy-like fractal patterns, suggesting response movements by predators to prey distributions. Simulations show that predators have higher encounter rates when adopting Lévy-type foraging in natural-like prey fields compared with purely random landscapes. This is consistent with the hypothesis that observed search patterns are adapted to observed statistical patterns of the landscape. This may explain why Lévy-like behaviour seems to be widespread among diverse organisms, from microbes to humans, as a 'rule' that evolved in response to patchy resource distributions.
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            Revisiting Lévy flight search patterns of wandering albatrosses, bumblebees and deer.

            The study of animal foraging behaviour is of practical ecological importance, and exemplifies the wider scientific problem of optimizing search strategies. Lévy flights are random walks, the step lengths of which come from probability distributions with heavy power-law tails, such that clusters of short steps are connected by rare long steps. Lévy flights display fractal properties, have no typical scale, and occur in physical and chemical systems. An attempt to demonstrate their existence in a natural biological system presented evidence that wandering albatrosses perform Lévy flights when searching for prey on the ocean surface. This well known finding was followed by similar inferences about the search strategies of deer and bumblebees. These pioneering studies have triggered much theoretical work in physics (for example, refs 11, 12), as well as empirical ecological analyses regarding reindeer, microzooplankton, grey seals, spider monkeys and fishing boats. Here we analyse a new, high-resolution data set of wandering albatross flights, and find no evidence for Lévy flight behaviour. Instead we find that flight times are gamma distributed, with an exponential decay for the longest flights. We re-analyse the original albatross data using additional information, and conclude that the extremely long flights, essential for demonstrating Lévy flight behaviour, were spurious. Furthermore, we propose a widely applicable method to test for power-law distributions using likelihood and Akaike weights. We apply this to the four original deer and bumblebee data sets, finding that none exhibits evidence of Lévy flights, and that the original graphical approach is insufficient. Such a graphical approach has been adopted to conclude Lévy flight movement for other organisms, and to propose Lévy flight analysis as a potential real-time ecosystem monitoring tool. Our results question the strength of the empirical evidence for biological Lévy flights.
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              Generalized Lévy walks and the role of chemokines in migration of effector CD8+ T cells

              Chemokines play a central role in regulating processes essential to the immune function of T cells 1-3 , such as their migration within lymphoid tissues and targeting of pathogens in sites of inflammation. Here we track T cells using multi-photon microscopy to demonstrate that the chemokine CXCL10 enhances the ability of CD8+ T cells to control the pathogen T. gondii in the brains of chronically infected mice. This chemokine boosts T cell function in two different ways: it maintains the effector T cell population in the brain and speeds up the average migration speed without changing the nature of the walk statistics. Remarkably, these statistics are not Brownian; rather, CD8+ T cell motility in the brain is well described by a generalized Lévy walk. According to our model, this surprising feature enables T cells to find rare targets with more than an order of magnitude more efficiency than Brownian random walkers. Thus, CD8+ T cell behavior is similar to Lévy strategies reported in organisms ranging from mussels to marine predators and monkeys 4-10 , and CXCL10 aids T cells in shortening the average time to find rare targets.
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                Author and article information

                Contributors
                Journal
                Integr Biol (Camb)
                Integr Biol (Camb)
                ib
                Integrative Biology
                Oxford University Press
                1757-9694
                1757-9708
                January 2020
                14 February 2020
                14 February 2021
                : 12
                : 1
                : 12-20
                Affiliations
                [1 ] Department of Biological and Environmental Engineering , Cornell University, Ithaca, NY, USA
                [2 ] Department of Food Engineering , King Mongkut’s Institute of Technology, Bangkok, Thailand
                [3 ] Department of Physics , Cornell University, Ithaca, NY, USA
                [4 ] Pritzker School of Molecular Engineering , University of Chicago, IL, USA
                Author notes
                Corresponding author. E-mail: mw272@ 123456cornell.edu
                Article
                PMC7036475 PMC7036475 7036475 zyaa001
                10.1093/intbio/zyaa001
                7036475
                32055833
                8925d13e-809e-4ec5-8fa6-96a17186a46b
                © The Author(s) 2020. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permissions@oup.com

                This article is published and distributed under the terms of the Oxford University Press, Standard Journals Publication Model ( https://academic.oup.com/journals/pages/open_access/funder_policies/chorus/standard_publication_model)

                History
                : 31 July 2019
                : 27 November 2019
                : 10 January 2020
                Page count
                Pages: 9
                Funding
                Funded by: National Cancer Institute 10.13039/100000054
                Award ID: R21CA138366
                Award ID: R01CA221346
                Funded by: Swiss National Science Foundation 10.13039/501100001711
                Award ID: IZK0Z3-129723-1
                Funded by: Cornell Center on the Microenvironment & Metastasis
                Award ID: U54CA143876
                Funded by: Cornell NanoScale Science and Technology and the Cornell Nanobiotechnology Center
                Categories
                Original Article

                chemotaxis,cytokine,Lévy statistics,migration,heterogeneity,optimal search

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