A biophysical model of tumor invasion

Ganesan, Sashikumaar and Lingeshwaran, Shangerganesh (2017) A biophysical model of tumor invasion. In: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 46 . pp. 135-152.

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Abstract

Three-dimensional finite element computations of a cancer invasion model with nonlinear density-dependent diffusion and haptotactic sensitivity function are presented. The nonlinear model includes three key variables, namely the cancer cell density, the extra cellular matrix (ECM) density and the matrix degrading enzymes (MDE) concentration. In order to investigate the effects of tumor growth and invasion on a realistic geometry, the interactions between the cancer cells and the host tissue are incorporated into the model. The convergence study and the validation are first performed for the proposed numerical scheme. Then the effects of nonlinear diffusion and ECM-dependent haptotaxis on tumor growth and invasion in three-dimensional geometries are presented. Finally, several numerical simulations are performed with different combinations of nonlinear diffusion and haptotaxis functions to get an insight into the tumor invasion on a realistic (breast) geometry. The proposed computational model can be used to predict the location and shape of the tumor in realistic geometries at a particular instance. (C) 2016 Elsevier B.V. All rights reserved.

Item Type:	Journal Article
Publication:	COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Additional Information:	Copy right for this article belongs to the ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
Department/Centre:	Division of Interdisciplinary Sciences > Computational and Data Sciences
Date Deposited:	07 Jan 2017 10:08
Last Modified:	04 Feb 2019 06:25
URI:	http://eprints.iisc.ac.in/id/eprint/55899

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