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Lab 4

# Lab 4 - LAB 4 Name_Ryan Corley Sec_4 Example Radioactive...

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LAB 4 Name: __Ryan Corley __ Sec__4 __ Example: Radioactive Iodine-123 Radioactive Iodine (I-123) is used to treat thyroid problems. Patients are given a serum containing 70 μ g of radioactive Iodine that collects in the thyroid gland. Then a scan is done, producing the following data: Time(days) Mass ( μ g) 0 70 1 40 2 25 3 15 data=[0,70;1,40;2,25;3,15] data = 0 70 1 40 2 25 3 15 Find the half life of I-123.. Need "k" value. allx=data(:,1) ally=data(:,2) change_in_x=diff(data(:,1)) change_in_y=diff(data(:,2)) allx = 0 1 2 3 ally =70 40 25 15 change_in_x = 1 1 1 change_in_y = -30 -15 -10 ratios=diff(log(data(:,2)))./diff(data(:,1)) ratios = -0.5596 -0.4700 -0.5108 1

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The half life is 1.35 days, meaning that after 1.35 days, half the I-123 will be used up. (a) Construct an exponential function for I-123. Plot your model and data on the same graph. Be sure that you label the axes appropriately. m0=data(1 y=m0*exp(k.*t); (b) Find the mass of I-123 in the patient's thyroid after 6 days. mass_at_6_days=m0*exp(k.*6) Mass of I-123 in the patients thyroid is 3.2 mg after 6 days.
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