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Fractal Properties of Biophysical Models of Pericellular Brushes Can Be\n Used to Differentiate Between Cancerous and Normal Cervical Epithelial Cells

2018/06/15 by J. D. Hernández Velázquez, Velázquez, J. D. Hernández, Sergio Mejía-Rosales +3
Chemical Engineering · Materials Science · Mathematics · Medicine · #Block Copolymer Self-Assembly #Blood properties and coagulation #FOS: Physical sciences #Rheology and Fluid Dynamics Studies #Soft Condensed Matter (cond-mat.soft) #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.1806.05803

openalex publication_date 2018/06/15 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

Fractal behavior is found on the topographies of pericellular brushes on the\nsurfaces of model healthy and cancerous cells, using dissipative particle\ndynamics models and simulations. The influence of brush composition, chain\nstiffness and solvent quality on the fractal dimension is studied in detail.\nSince fractal dimension alone cannot guarantee that the brushes possess fractal\nproperties, their lacunarity was obtained also, which is a measure of the space\nfilling capability of fractal objects. Soft polydisperse brushes are found to\nhave larger fractal dimension than soft monodisperse ones, under poor solvent\nconditions, in agreement with recent experiments on dried cancerous and healthy\nhuman cervical epithelial cells. Additionally, we find that image resolution is\ncritical for the accurate assessment of differences between images from\ndifferent cells. The images of the brushes on healthy model cells are found to\nbe more textured than those of brushes on model cancerous cells, as indicated\nby the larger lacunarity of the former. These findings are helpful to\ndistinguish monofractal behavior from multifractality, which has been found to\nbe useful to discriminate between immortal, cancerous and normal cells in\nrecent experiments.\n

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