pharmacology math
 
Calculating Safe Dosages
 
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Key information:
  • Most drug manuals list the recommended dosage range for medications administered to children.  However, in clinical practice most physicians use a source more specific to the neonatal or pediatric population.  Use the drug reference manuals on the pediatric / neonatal units to find the recommended safe range.
  • Most commonly, safe dosage will be expressed in mg/kg/day, or whatever unit the medication is measured in.
  • The two concepts to remember are: 
    • Recommended dosage (what the literature states)
    • Actual dosage (how much the client is receiving)
  • Make sure that your evaluative information is equal, ie, single dose versus 24 hrs.
Example 1:
John has gentamicin 60 mg IV ordered for an infection.  The drug reference indicates that a safe single dose is 2 - 2.5 mg / kg.  If John weighs 44 lbs, is this a safe dose? 
 
Tips:
  • Since the reference uses kg and John’s weight is in pounds, you first must convert the 44 lbs to kg.    44 ÷ 2.2 = 20 kg. 
  • The drug manual provides a "range"  (2-2.5) information, i.e., "minimal" and "maximum".
  • The reference is to a "single" dose.
Calculate the recommended range: 
  • Minimal:        20  kg x 2 mg/kg  =    40
  • Maximum:      20 kg  x 2.5 mg/kg =   50 
  • Therefore, the recommended range is
    40-50 mg per dose.

    John has an actual order for 60 mg.   Is it a safe dose?

    • Recommended:      40-50 mg per dose.
    • Actual order:       60 mg
    Compare the two values. The actual order is higher than the recommended range.  Therefore, it is not safe. 
    (Call the doctor and question the order unless there is documented evidence such as therapeutic drug levels that indicates it is an appropriate dose.)
      .

    Example 2:

    John also has an order for ampicillin sodium 395 mg IV q 6 hr.   The safe range for his type of infection in the literature is 100-200 mg /kg /day.  Is this a safe dose? 
    Tips:
    • You have calculated John's weight in kilograms.
    • The problem again cites a "range" to be calculated.
    • The recommended dosage cited for a day (24 hours).
    • The IV medication is given q 6 hr or 4 times a day.

    Calculate the recommended range:

    • Minimal:  100 mg  x 20 kg  = 2000 mg
    • Maximal: 200 mg x 20 kg  = 4000 mg
    Recommended range is 2000 - 4000 mg.

    Actual dose is:  395 x 4 (q 6 hr) = 1580 mg / day 

    Compare the two values.  The actual dose is less than the recommended dose.  Dose is “safe”, but not necessarily therapeutic.
    Note the difference in the two problems.  One calculates a single dose and the other assesses a daily dose.
     
    While the problem may only say "Is this a safe dose?", you would be wise to show your calculations on your test booklet as to how you arrived at your answer.
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    10/2003
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