Drugs are small molecules that often occur in either a neutral or a charged form, depending on pH. For example, aspirin can be either neutral or lose a proton to be negatively charged. When aspirin is charged, it does not diffuse well into the body. pH varies in the gastrointestinal track. Since the stomach has a low pH (pH=3), it has a larger concentration of neutral aspirin (10-3 M), while the small intestine (pH=6) has a smaller neutral aspirin concentration (10-6 M). For the following, assume that the neutrally charged aspirin molecule has a diffusion coefficient through the cell of 1 x 10-6 cm2/s.

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Drugs are small molecules that often occur in either a neutral or a charged form, depending on pH. For example, aspirin can be either neutral or lose a proton to be negatively charged. When aspirin is charged, it does not diffuse well into the body. pH varies in the gastrointestinal track. Since the stomach has a low pH (pH=3), it has a larger concentration of neutral aspirin (10-3 M), while the small intestine (pH=6) has a smaller neutral aspirin concentration (10-6 M). For the following, assume that the neutrally charged aspirin molecule has a diffusion coefficient through the cell of 1 x 10-6 cm2/s. 

A. If a cell is 20 microns in diameter, how long does it take neutrally charged aspirin to diffuse
to the center of the cell where the prostaglandins that cause pain are made?
B. Let's compare aspirin's uptake in the stomach vs small intestine. Assume the cells lining the
stomach and small intestine are the same (same membrane thickness, same diameter, same
diffusion coefficient). Also assume the concentration of aspirin is O inside these cells (so we
can calculate the maximum diffusive flux). Based on this, what is the ratio of the maximum
diffusive flux of aspirin into cells lining the stomach versus cells lining the small intestine?
C. We'd like to figure out where in the body aspirin is absorbed as determined by its diffusion
rate. If the small intestine has a surface area 50 times that of the stomach, what is the ratio
of the diffusion rates in the stomach compared to the small intestine?
D. In which part of the GI tract is most of the aspirin absorbed?
Transcribed Image Text:A. If a cell is 20 microns in diameter, how long does it take neutrally charged aspirin to diffuse to the center of the cell where the prostaglandins that cause pain are made? B. Let's compare aspirin's uptake in the stomach vs small intestine. Assume the cells lining the stomach and small intestine are the same (same membrane thickness, same diameter, same diffusion coefficient). Also assume the concentration of aspirin is O inside these cells (so we can calculate the maximum diffusive flux). Based on this, what is the ratio of the maximum diffusive flux of aspirin into cells lining the stomach versus cells lining the small intestine? C. We'd like to figure out where in the body aspirin is absorbed as determined by its diffusion rate. If the small intestine has a surface area 50 times that of the stomach, what is the ratio of the diffusion rates in the stomach compared to the small intestine? D. In which part of the GI tract is most of the aspirin absorbed?
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