Articles with "dependent diffusivity" as a keyword



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Strain-Dependent Diffusivity of Small and Large Molecules in Meniscus.

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Published in 2022 at "Journal of biomechanical engineering"

DOI: 10.1115/1.4054931

Abstract: Due to lack of full vascularization, the meniscus relies on diffusion through the extracellular matrix to deliver small (e.g., nutrients) and large (e.g., proteins) to resident cells. Under normal physiological conditions, the meniscus undergoes up… read more here.

Keywords: meniscus; strain; strain dependent; diffusivity ... See more keywords
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Second-Order Conditional Lie-Bäcklund Symmetries and Differential Constraints of Nonlinear Reaction-Diffusion Equations with Gradient-Dependent Diffusivity

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Published in 2018 at "Symmetry"

DOI: 10.3390/sym10070267

Abstract: The radially symmetric nonlinear reaction–diffusion equation with gradient-dependent diffusivity is investigated. We obtain conditions under which the equations admit second-order conditional Lie–Bäcklund symmetries and first-order Hamilton–Jacobi sign-invariants which preserve both signs (≥0 and ≤0) on… read more here.

Keywords: order; second order; gradient dependent; reaction diffusion ... See more keywords