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5. Glucose has a diffusivity in the cartilage of roughly DI ~ 10 um?/s. Estimate the depth in the tissue over which chondrocytes (cartilage cells)

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5. Glucose has a diffusivity in the cartilage of roughly DI ~ 10 um?/s. Estimate the depth in the tissue over which chondrocytes (cartilage cells) experience significant variations in glucose concentration. Assume that variations in synovial fluid glucose content closely follow daily variations in blood sugar content. (5%) 6. Consider the behavior of ci (r,0) from our lecture as Di varies: C, (r, 0) = Cz=0 + 3D. -rcos 0 2D. + D; co (r, 0) = Czno +orcose + -[.. D. - D; a3 D . D. ) 2D. + D, 72 2 cos 2/3 Keeping in mind that ci represents solute concentration inside the spherical inclusion as solute diffuses through it at a steady state: (10%) a) Explain the behavior in the limit Di - 0 b) Explain the behavior in the limit Di - co

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