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• W2912578219 abstract "Abstract Present work reports a mathematical modeling for the interstitial hydrodynamics and mechanical behavior of the solid phase inside a solid tumor. A tumor tissue is a visco‐poroelastic deformable living biomaterial with cellular phase and extracellular matrix (ECM) as the solid phase (also small volume of blood vessels) and physiological extracellular fluid as the fluid phase. The intravascular fluid or blood and the interstitial fluid form a single fluid phase. We write down the mass and momentum balance equations for both the phases. The momentum equations are coupled due to the relative interaction (or drag) force between the phases. This study shows the well‐posedness of poroelastohydrodynamics in the weak sense under following assumptions (i) motion of interstitial fluid flow and solid phase deformation are slow and (ii) nutrient proliferation rate is much faster than the tumor cell growth. Subsequently, we use the semi‐discrete Galerkin method to establish the well‐posedness. Further, we simulate some analytical results corresponding to the one‐dimensional spherical symmetry model. Our results on the unsteady poroelastohydrodynamic model would give an idea about the time required for the necrosis formation from the initial stage of perfusion based on the system energy which can be computed using L 2 and H 1 norms." @default.
• W2912578219 created "2019-02-21" @default.
• W2912578219 creator A5015772503 @default.
• W2912578219 creator A5029118631 @default.
• W2912578219 creator A5080580852 @default.
• W2912578219 date "2019-02-07" @default.
• W2912578219 modified "2023-10-16" @default.
• W2912578219 title "Mathematical modeling and analysis of hydroelastodynamics inside a solid tumor containing deformable tissue" @default.
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• W2912578219 doi "https://doi.org/10.1002/zamm.201800223" @default.
• W2912578219 hasPublicationYear "2019" @default.
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