Using the Calvert formula, calculate the carboplatin dose for a female patient aged 38.
Added by Natalia H.
Step 1
8 mg/dL. CrCl = [(140 - 38) x 60] / [72 x 0.8] CrCl = (102 x 60) / 57.6 CrCl = 6120 / 57.6 CrCl ≈ 106.25 mL/min Show more…
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Chemotherapy. The dosage for Carboplatin chemotherapy drugs depends on several parameters of the particular drug as well as the age, weight, and sex of the patient. For female patients, the formulas giving the dosage for such drugs are $D=0.85 A(c+25) \quad$ and $\quad c=(140-y) \frac{w}{72 x}$ where $A$ and $x$ depend on which drug is used, $D$ is the dosage in milligrams (mg), $c$ is called the creatine clearance, $y$ is the patient's age in years, and $w$ is the patient's weight in kilograms (kg). (Source: U.S. Oncology.) a) Suppose that a patient is a 45 -year-old woman and the drug has parameters $A=5$ and $x=0.6 .$ Use this information to write formulas for $D$ and $c$ that give $D$ as a function of $c$ and $c$ as a function of $w$ b) Use your formulas from part (a) to compute dD/de. c) Use your formulas from part (a) to compute de/dw. d) Compute dD/dw. e) Interpret the meaning of the derivative dD/dw.
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Solve each problem. Nurses use Young's Rule to calculate the pediatric (child's) dose $P$ of a medication, given a child's age $c$ in years and a normal adult dose $a$. $$ P=\frac{c}{c+12} \cdot a $$ The normal adult dose for milk of magnesia is $30 \mathrm{~mL}$. Use Young's Rule to calculate the correct dose to give a 6-yr-old boy.
Rational Expressions and Applications
Applications of Rational Expressions
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