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Painful bone metastases are common in advanced prostate cancer. Physicians often order treatment with strontium-89 (89Sr), a radionuclide with a stron

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asked 2021-05-02

Painful bone metastases are common in advanced prostate cancer. Physicians often order treatment with strontium-89 (89Sr), a radionuclide with a strong affinity for bone tissue. A patient is given a sample containing 4 mCi of \(\displaystyle{89}^{{{S}{r}}}\).
If 20% of the \(\displaystyle{89}^{{{S}{r}}}\) remains in the body after 90 days, write a function of the form \(\displaystyle{Q}{\left({t}\right)}={Q}{0}{e}^{{−{k}{t}}}\) to model the amount Q(t) of radioactivity in the body t days after the initial dose.
b. what is the biological half-life of 89^Sr under this treatment? Round to the nearest tenth of a day.

Answers (1)

2021-05-03
a. \(Q(t)=Qoe^{-0.017882t}\)
b. t~39 days
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