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Dynamic density functional theory of solid tumor growth: Preliminary
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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
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
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
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
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