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See detailQuantifying the role of mechanics in the free and encapsulated growth of cancer spheroids
Urcun, Stéphane UL

E-print/Working paper (2020)

Mechanics is of primordial importance to understand cancer; hence, experimental and mathematical models providing quantitative information and play a pivotal role on the development of new therapies ... [more ▼]

Mechanics is of primordial importance to understand cancer; hence, experimental and mathematical models providing quantitative information and play a pivotal role on the development of new therapies. Within this context, encapsulated spheroids are emerging as exceptional in vitro tools to investigate the impact of mechanical forces on tumor growth, since from the deformation of the alginate capsule the internal pressure can be retrieved. We show that bio-chemo-poro-mechanics is a suitable theoretical framework to understand, explain and design these in vitro experiments. Such mechanistic models are based on a set of coupled partial differential equations solved within an open-source framework (FEniCS). Through sensitivity analyses, our mathematical model suggests that the main parameters determining the encapsulated and free growth configurations are independent, this observation indicates that radically different phenomena are at play. This demonstrates potentialities of reactive porous media mechanics in oncophysics and can serve to supplement in vivo clinical data. [less ▲]

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