Many biological tissues have layers with extracellular matrix components and different orientations of these components. As a result, diffusion coefficients vary from region to region. Consider the steady-state, one-dimensional diffusion of a protein across a tissue that consists of a cellular phase and an acellular phase (like an artery wall consisting of a layer of smooth muscle cells and a layer of elastic lamina. Assume no reactions occur in either layer. The protein diffusion coefficients in the layers (1 and 2) are Di,1 and Di,2. The concentration at one edge is (x = 0) Ci = C0; on the other edge (x = L1 + L2 = L) Ci = CL. Assume that all partition coefficients in both layers are equal to 1. Use the figure below to help. Determine (A)the concentration as a function of position x, (B) the flux of the protein solute across the tissue, and (C) the effective diffusion coefficient if the system is modeled as a single layer.
Many biological tissues have layers with extracellular matrix components and different orientations of these components. As a result, diffusion coefficients vary from region to region. Consider the steady-state, one-dimensional diffusion of a protein across a tissue that consists of a cellular phase and an acellular phase (like an artery wall consisting of a layer of smooth muscle cells and a layer of elastic lamina. Assume no reactions occur in either layer. The protein diffusion coefficients in the layers (1 and 2) are Di,1 and Di,2. The concentration at one edge is (x = 0) Ci = C0; on the other edge (x = L1 + L2 = L) Ci = CL. Assume that all partition coefficients in both layers are equal to 1. Use the figure below to help. Determine (A)the concentration as a function of position x, (B) the flux of the protein solute across the tissue, and (C) the effective diffusion coefficient if the system is modeled as a single layer.
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