Question

2. The cornea is a water-filled connective tissue that we will treat as being flat and of thickness h (see below). Because of the composition of the cornea, it traps positive ions, so that there are “excess" positive ions in the interior of the cornea compared with the surrounding fluid contacting the cornea. This is equivalent to the surface of the cornea acting like a semipermeable membrane that blocks the passage of positive ions a. When the cornea is completely dehydrated, its thickness is h -220um, and the "excess" concentration of positive ions is 0.8mM, compared with physiological saline. Assuming that no positive ions leave the tissue when it becomes hydrated, write an expression for the "excess" positive ion concentration as a function of corneal thickness, h. b. As the cornea becomes more hydrated, it thickens and fibers in the cornea become stretched. This creates an effective positive pressure within the cornea, p-k(h h), with h. -345um and k-5.5Pa/um. Compute the equilibrium thickness of the cornea when it is exposed to physiological saline at 37 C and zero pressure (gauge). Note that the universal gas constant R-8.314J/(mol K) saline comea

Answer 1

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