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Medical Dosage Calculation A Dimensional Analysis Approach Tenth Edition CHAPTER 12 Calculating Pediatric Dosages Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Directory • Classroom Response System Questions • Lecture Note Presentation Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Classroom Response System Questions Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Question #1 A 10 year old child has a fever of 101 degrees F, and 400 mg po of the antipyretic acetaminophen (Tylenol) has been ordered. If the elixir is labeled 160 milligrams per 5 milliliters, how many teaspoons will you give to the child? Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Question #1 Choices 1. 2. 3. 4. 0.25 t 5 tsp 2 ½ tsp 0.4 t Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Question #1 Response 1. 2. 3. 4. 0.25 t 5 tsp 2 ½ tsp 0.4 t Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Question #2 The prescriber ordered: amoxicillin 20 mg/kg q8h. Calculate the dose of this antibiotic for a child who weighs 42 kilograms. Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Question #2 Choices 1. 2. 3. 4. 240 mg 270 mg 820 mg 840 mg Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Question #2 Response 1. 2. 3. 4. 240 mg 270 mg 820 mg 840 mg Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Question #3 A child is to receive an IV bolus of 1% lidocaine, 0.1 milligram per kilogram. How many milliliters will you prepare for a child who weighs 40 kilograms? Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Question #3 Choices 1. 2. 3. 4. 0.4 mL 0.004 mL 000.3 mL 000.04 mL Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Question #3 Resopnse 1. 2. 3. 4. 0.4 mL 0.004 mL 000.3 mL 000.04 mL Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Question #4 Prescriber’s order: Lanoxin (digoxin) 0.1 mg IM daily. The label reads 0.1 mg/mL injection. What is the dose in micrograms? Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Question #4 Choices 1. 2. 3. 4. 0.1 mcg 0.01 mcg 0.001 mcg 0.0001 mcg Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Question #4 Response 1. 2. 3. 4. 0.1 mcg 0.01 mcg 0.001 mcg 0.0001 mcg Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Question #5 A child who weighs 18 kg is to receive Motrin (ibuprofen) 8 mg/kg po q4h prn for pain. The label reads 100 mg/5 mL. How many milliliters will you administer? Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Question #5 Choices 1. 2. 3. 4. 0.7 mL 0.9 mL 7.3 mL 7.2 mL Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Question #5 Response 1. 2. 3. 4. 0.7 mL 0.9 mL 7.3 mL 7.2 mL Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Lecture Note Presentation Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Learning Objectives 1. Determine if a pediatric dose is within the safe dose range. 2. Calculate pediatric oral and parenteral dosages based on body weight. 3. Calculate pediatric oral and parenteral dosages based on body surface area. 4. Perform calculations necessary for administering medications using a volume control chamber. 5. Calculate daily fluid maintenance. Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Figure 12.1 A bottle of oral medication and a measuring spoon. Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Figure 12.2 Liquid medication administration devices:Two droppers, an oral syringe, and a measuring spoon. Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Example 12.1 • Order: erythromycin 30 mg/kg po q6h. Read the label below. The child weighs 38 kilograms. How many milliliters of the drug will you administer to this child? Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Example 12.1 • Start with the size of the patient. 1 38 kg 30 mg 5 mL 28.5 mL 1 kg 200 mg 4 Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Example 12.2 • A drug is ordered: 0.045 mg IM stat. The child weighs 40 kilograms, and the recommended dose is (0.001-0.002) milligram per kilogram. • Is this ordered dose safe for this child? Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Example 12.2 • Using the minimum recommended dose of 0.001 mg/kg, find the minimum recommended dose in mg for this child. 40 kg 0.001 mg 0.04 mg 1 1 kg • Using the maximum recommended dose of 0.002 mg/kg, find the maximum recommended dose in mg for this child. 40 kg 0.002 mg 0.08 mg 1 1 kg Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Example 12.2 • So, the safe dose range for this child is (0.04–0.08) mg. Because the prescribed dose of 0.045 mg is in this range, it is a safe dose for this child. Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Figure 12.5 Volume control chamber. Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Pediatric Daily Fluid Maintenance Formula • For the first 10 kg of body weight: 100 mL /kg • For the next 10 kg of body weight: 50 mL / kg • For each kg above 20 kg of body weight: 20 mL / kg Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Example 12.3 • The order is maintenance for a child who weighs 35 kg. At what rate should the pump be set in mL/h? Divide the child’s weight (35 kg) into three portions as follows: 35 kg = 10 kg + 10 kg + 15 kg Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Example 12.3 1st Portion 2nd Portion 10 kg 10 kg 3rd Portion 15 kg Total 35 kg x 100 mL kg = 1,000 mL x 50 mL kg = 500 mL x 20 mL kg = 300 mL Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton 1,800 mL Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Example 12.3 • The daily “maintenance” was determined to be 1,800 mL per day. 1,800 mL mL ? day h 1,800 mL 1 day mL 75 day 24 h h So, the pump would be set at 75 mL/h. Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Chapter Summary • Taking shortcuts in pediatric medication administration can be fatal to the child. • Check to see if the order is in the safe dose range. • Consult a reliable source when in doubt about a pediatric medical order. Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Chapter Summary • Question the order or check your calculations if the ordered dose differs from the recommended dose. • Pediatric dosages are sometimes rounded down (truncated) to avoid the danger of an overdose. • IV bags of no more than 500 mL should be hung for pediatric patients. Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Chapter Summary • No more that 2 mL should be given IM to a pediatric patient. • Because accuracy is crucial in pediatric infusions, electronic control devices or volume control chambers should always be used. • For a volume control chamber, a flush is always used to clear the tubing after a medication is infused. Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Chapter Summary • Know the facility policy regarding the inclusion of medication volume as part of the total infusion volume. • Minimal and maximal dilution volumes for some IV drugs are recommended in order to prevent fluid overload, minimize irritation to veins, and reduce toxic effects. Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved. Chapter Summary • When preparing IV drug solutions, the smallest added volume (minimal dilution) results in the strongest concentration; the largest added volume (maximal dilution), results in the weakest concentration. • Daily fluid maintenance depends on the weight of the child and includes both oral and parenteral fluids. Medical Dosage Calculations: A Dimensional Analysis Approach, Tenth Edition June L. Olsen • Anthony P. Giangrasso • Dolores Shrimpton Copyright ©2012, ©2008 by Pearson Education, Inc. All rights reserved.