Write the solution for drug concentration as a function of position x from the implant surface.

Since traditional methods often cannot be used for delivering drugs to the brain researchers are wo Show more Since traditional methods often cannot be used for delivering drugs to the brain researchers are working on implanting drug containing polymers directly in the brain tissue. Consider steady one-dimensional diffusion in the x direction and first order elimination of drug dopamine near an implant. The boundary conditions of drug concentration are c0 at the implant surface and zero far from the surface into the brain tissue. The reaction rate k for elimination is 0.5/h and diffusivity of dopamine in brain tissue is 30 10-11 m2/s. (a) Write the solution for drug concentration as a function of position x from the implant surface. (b) Find the distance from the implant surface in cm at which the drug concentration becomes 10% of its value at the implant surface. The volume corresponding to this distance is termed the tissue treatment volume. (c) If the average concentration over the distance calculated in item 2 above needs to be 5 g/g of tissue for dopamine for a certain treatment what should be the concentration c0 at the implant surface for this treatment? Show less

 

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