Halibut are exposed to elevated methyl mercury concentrations due to a nearby coal plant. Let M (t ) be the concentration of methyl mercury per gram of fish after t days. Suppose that the halibut intake methyl mercury at a rate of m nanograms of methyl mercury per gram of halibut per day. The elimination rate of methyl mercury from the fish is n per day.

(a) Draw a one-compartment model for M .
(b) Show that M? = ?mM + n.
(c) Solve for M (t ) given the initial condition M (0) = M0


(a)

(b) Left to the student.

(c)

Mathematics

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