MATH564 Midterm Examination

Student name:

Problem 1: Exercise 1, p312

(a) Long-range lead forecast

(b) Lead forecast at 1 year

(c) Percentage of lead in bones

(d) Long range, 1 year forecast at double, half ingestion rate

Problem 2: Exercise 2, p313

(a) Time to accumulate 2500 μg Pb

(b) Decay of 2500 μg Pb after 1 year in clean environment

(c) Estimate of drug removal rate

(d) Pb accumulation with drug, contaminated environment

(e) Model half-life

(f) Lead elimnation after 100 days

Problem 3: Repeat Exercise 2 for a more detailed compartment model: environment, skeletal system, blood, lymph, muscle, liver, kidney, remaining soft tissue

(a) Time to accumulate 2500 μg Pb

(b) Decay of 2500 μg Pb after 1 year in clean environment

(c) Estimate of drug removal rate

(d) Pb accumulation with drug, contaminated environment

(e) Model half-life

(f) Lead elimnation after 100 days