Complex dynamics of tumors: modeling an emerging brain tumor system with coupled reaction–diffusion equations

Salman Habib, Carmen Molina-Parı́s and Thomas S. Deisboeck

Physica A: Statistical Mechanics and its Applications, 2003, vol. 327, issue 3, 501-524

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.

Date: 2003
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437103003911
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:327:y:2003:i:3:p:501-524

DOI: 10.1016/S0378-4371(03)00391-1

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().