Please intuitively explain what the compartment/s model for drug distribution is.

First, we will build a model for the total amount of drugs in the gut. At time \(t = 0\), \(10mg\) of the drug is present in the gut. From the gut, it passes slowly into the blood. The passage of the drug to the blood has first-order kinetics; that is, every hour \(42\%\) of the drug remaining in the gut is passed from the gut into the blood. No more pills are taken, so no extra drug is added to the gut.   Let \(a_t\) be the sequence representing the amount of Adderall XR in the patient’s gut \(t\) hours after the pill was taken. Write down a recursion relation for \(a_t\).   Find an explicit formula for \(a_t\).   Calculate the time at which the amount of drug remaining in the gut drops to \(1\%\) of its starting value; that is, find \(t\) for which \[a_t = 0.01a_0\] Find \(\lim_{t\to\infty}a_t\), what does it represent?   Now let’s build a model for the amount of drug in the patient’s blood. Define another sequence \(b_t\) that represents the amount of Adderall XR in the patient’s…

There are many clinical applications, and the Electronic Drug Store is one of them. So how does it work?

Describe three situations where you would use an excipient in your drug formulation and how you expect the excipient to help in the very of the active pharmaceutical ingredient.