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Dynamic density functional theory of solid tumor growth: Preliminary models

Author(s): Chauviere, A; Hatzikirou, H; Kevrekidis, Yannis G.; Lowengrub, JS; Cristini, V

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Abstract: Cancer is a disease that can be seen as a complex system whose dynamics and growth result from nonlinear processes coupled across wide ranges of spatio-temporal scales. The current mathematical modeling literature addresses issues at various scales but the development of theoretical methodologies capable of bridging gaps across scales needs further study. We present a new theoretical framework based on Dynamic Density Functional Theory (DDFT) extended, for the first time, to the dynamics of living tissues by accounting for cell density correlations, different cell types, pheno-types and cell birth/death processes, in order to provide a biophysically consistent description of processes across the scales. We present an application of this approach to tumor growth. Copyright © 2012 Author(s).
Publication Date: 1-Dec-2012
Citation: Chauviere, A, Hatzikirou, H, Kevrekidis, IG, Lowengrub, JS, Cristini, V. (2012). Dynamic density functional theory of solid tumor growth: Preliminary models. AIP Advances, 2 (1), 10.1063/1.3699065
DOI: doi:10.1063/1.3699065
EISSN: 2158-3226
Pages: 011210-1 - 011210-13
Type of Material: Journal Article
Journal/Proceeding Title: AIP Advances
Version: Final published version. This is an open access article.

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