CHE221H1 Final: CHE222H1_20171_631515447224CHE222 - Final Exam Solution
31 Jan 2019
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April 19, 2017: (25 marks) consider the process by which the digestive system assimilates drugs. The drug enters the gastro-intestinal (gi) tract and then is subsequently absorbed into the blood stream and ultimately eliminated from the bloodstream via the kidneys. We can assume that the gi tract and the bloodstream are well mixed and the rate of absorption from the gi tract into the bloodstream and the rate of elimination from bloodstream are rst order reactions respectively. Assume also that only the drug enters the gi tract (the mass ow rate of drug entry is u ) and that you can ignore any other ows. Vb dx2 dt: use laplace transforms and convert the odes into algebraic equations assuming that the initial concen- trations of the drug is zero in the gi tract and the bloodstream. (see table at the end). For x2, dt (cid:19) = l (u) l (vgk1x1) Vg (sx1(s) x1(0)) = u (s) vgk1x1(s)
