Mathematics of Nuclear Medicine

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Chapter 4 :Chapter 4 Ben Weisman Thursday, September 14, 2006 NMT1002 Group Three


Chapter 4 Section 2 :Chapter 4 Section 2 Problem #6 If a source reads 1.03 mCi in a dose calibrator when the expected activity is 0.96, can the instrument be used according to NRC standards?


Answer :Answer Yes You must calculate the percent error and compare it to the limit of 10% to find out whether this particular dose can be used. Percent error = l expected reading – actual reading l x 100% expected reading


Calculation :Calculation On the TI-30X SOLAR, subtract 1.03 from 0.96 and take the absolute value of your answer (0.07) and divide by 0.96 (0.0729). To make this a percent value, multiply by 100 to get 7.29%. Since this value (7.29% < 10.0%) is acceptable by the NRC standard, this particular dose can be utilized in this procedure


Chapter 4 Section 14 :Chapter 4 Section 14 Problem # 3 How many mCi should be added to a phantom to obtain a counting rate of 20,000 cpm if a 520 uCi sample of solution produces 8,740 cpm?


Answer :Answer 1190 uCi To determine the activity needed for phantom preparation use the proportional equation, test sample counting rate = phantom counting rate test sample activity phantom activity 8740 cpm = 20000 cpm 520 uCi ? uCi


Answer Continued :Answer Continued Solve for ? by cross multiplication On TI-30X SOLAR, Press 20000 X 520, then = (1.04E7). Divide your answer (press /) by 520 to get the amount of phantom activity (1190).