A tracer dose of radioactive iodine 1311 is injected into the blood stream at time t =

Chapter 1, Problem 6

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A tracer dose of radioactive iodine 1311 is injected into the blood stream at time t = 0. Assume that the original amount Qo of iodine is distributed evenly in the entire blood stream before any loss occurs. Let Q(t) denote the amount of iodine in the blood at time t > 0. Part of the iodine leaves the blood and enters the urine at the rate k, Q. Another part of the iodine enters the thyroid gland at the rate k2Q. Find Q (t).

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