UNSPECIFIED (2003) Complex dynamics of tumors: modeling an emerging brain tumor system with coupled reaction-diffusion equations. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 327 (3-4). pp. 501-524. ISSN 0378-4371

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Abstract

One of the hallmarks of malignant brain tumors is their extensive tissue invasion, which represents a major obstacle for effective treatment. In this paper we specifically model the invasive behavior of such tumors viewed as complex dynamic biosystems. Based on the spatio-temporal patterns seen in an experimental setting for multicellular brain tumor spheroids we propose an invasion-guiding, dynamical profile of heterotype and homotype attractor substances. We present a novel theoretical and numerical framework for a mathematical tumor model composed of a set of coupled reaction-diffusion equations describing chemotactic and haptotactic cell behavior. In particular, our continuum model simulates tumor cell motility guided by the principle of least resistance, most permission and highest attraction. Preliminary numerical results indicate that the computational algorithm is capable of reproducing patterns similar to the experimentally observed behavior. (C) 2003 Elsevier B.V. All rights reserved.

Item Type:	Journal Article
Subjects:	Q Science > QC Physics
Journal or Publication Title:	PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Publisher:	ELSEVIER SCIENCE BV
ISSN:	0378-4371
Date:	15 September 2003
Volume:	327
Number:	3-4
Number of Pages:	24
Page Range:	pp. 501-524
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/9245

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