Dynamic density functional theory of solid tumor growth: preliminary models. AIP Adv 2:011210

AIP Advances (Impact Factor: 1.52). 03/2012; 2(1):11210. DOI: 10.1063/1.3699065
Source: PubMed


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, phenotypes 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.

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Available from: Haralambos Hatzikirou,
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    • "This issue will be readressed later on in this work. Further descriptions—some of them even multiscale—of the interaction between tumor cells and the underlying tissue have been proposed, involving continuum mechanistic approaches (Chauviere and Preziosi 2010; Stolarska et al. 2009), discrete, or hybrid continuum-discrete settings (Chauviere et al. 2012; Frieboes et al. 2010; Hatzikirou and Deutsch 2008; Tanaka et al. 2009). "
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