Math Safe dose range tutorial (2) PDF

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Quickie Guide for Calculating Safe Dose Range

From the N407 Math Practice Sheet: 17.

Order: Ampicillin 100 mg IV q 6 hr. Child weighs 11.5 kg. Safe range: 25-100 mg/kg/day divided every 6 hrs. Available: Reconstitute with 0.9 mL of sterile water. Yields 125 mg per mL. a. How many mL will deliver 100 mg?

This part of the problem should be easy: For what are you solving? How many mL are needed for the 100 mg dose. mL 100 mg 125 mg dose

= 0.8 mL/dose

b. What is the safe dose range for this patient? Now you are going to calculate both ends of the safe dose range…with this drug, the low or minimum dose is 25 mg/kg/DAY “divided” or a dose given every 6 hrs. When setting up the problem, remember that this dose (25 mg) is based on two independent variables: weight (kg) and time (DAY), so those units both placed in the denominator: 25 mg kg/DAY

11.5 kg 1

DAY 4 doses

=

71.9 mg/dose, every 6 hrs - low or minimum

Now for the high or maximum dose of 100 mg/kg/DAY divided every 6 hrs. 100 mg kg/DAY

11.5 kg 1

DAY 4 doses

=

287.5 mg/dose, every 6 hrs - high or maximum

c. Is the dose within the safe range? Now that you have calculated the safe dose range, you will compare those doses to the order for the child. In this problem, the order is for 100 mg every 6 hrs. You have determined the safe dose range for this child to be a minimum dose of 71.9 mg every 6 hrs 100 mg a maximum dose of 287.5 mg every 6 hrs. Does 100 mg fall between 71.9 mg and 287.5 mg? Indeed, it does, so yes, this dose is within the safe range as calculated for this patient....