Pharmacology Math
 
Calculating Intake and Output
 
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In the pediatric population, generally we are concerned about the total intake the client receives per day.  Output is equally important. Therefore, all fluids are calculated for infants, small children, and others whose fluid balance status is of concern.

Example:

John's primary IV is running at 34 ml/hr while NPO.  When the nurse runs the Vancomycin (250 mg IV q 8 hr) in over 90 minutes [volume is 100 ml--(2 50 ml syringes)], the primary IV is stopped.  The ampicillin (395 mg IV q 6  hr) is given concurrently in 10 ml of fluid over 30 minutes.  He received 2 boluses of aminophylline (20 ml each over 20 minutes).  The IV fluids were stopped while the aminophylline infused.  Since microtubing was used for the medications, total flush is negligible (approximately 3 ml).  What is John’s total intake for 24 hours?
Calculate using the critical information:
 
Vancomycin runs for 1.5 hrs  x 3 doses = 4.5 hrs IV is stopped. 
Primary or maintenance IV fluids:  24 (hr) minus 4.5  = 19.5 hrs.
Primary fluid is stopped while aminophylline is infusing: 20 min x 2 = 40 minutes
19 hr 30 minutes minus 
40 minutes
= 18 hr 50 minutes (18.84 hrs) x 34 ml = 640.5 ml
Vancomycin 100 cc x 3 = 300 ml.
Ampicillin: 10 cc x 4 = 40 ml.
Aminophylline: 20 cc x 2  = 40 ml.
Normal saline flush:  (approximate) = 3 ml
640.5 + 300 + 40 + 40 + 3
=
1023.5 ml / 24 hrs.
John's daily intake, based on all therapeutic modalities, is 1023.5 ml.
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Calculating
Fluid 
Maintenance
is a Skill
Proficiency
for the 
Pediatric
Course
Calculating Fluid Maintenance

To calculate how much IV fluids a child should receive per day, use the following guide:

< 10 kg 100 ml / kg
  .spacer < 10 kg or less, multiply child's weight x 100
> 10 kg < 20 kg 1000 + (50 ml / kg for # kg > 10)
  . 10 kg = 1000 + (Subtract 10 from child's weight, multiply that x 50.)
> 20 kg 1500 + (20 ml / kg for # kg > 20)
  . 20 kg = 1500 + (Subtract 20 from child's weight, multiply that x 20.)

 
Examples
5.4 kg = 5.4 x 100 = 540 ml/day
11.3 kg = 1000 + (11.3 - 10 = 1.3 x 50) 1000 + 65 = 1065
27 kg = 1500 + (27 - 20 =7 x 20)  1500 + 140 = 1640
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Calculating total I & O

Example:

Crystal has an IV infusing at KVO (10 ml/hr).  She receives an antibiotic in 22.5 ml q 8° concurrently.  One ml flush is given after each antibiotic.  She is given 30 ml of formula q 3°.

She had diaper weights of 17 ml, 33 ml, 55 ml, 45 ml, 52 ml, 50 ml, 15 ml, and 36 ml.

Calculate her I & O for the past 24 hours.

Intake:

IV @ 10 ml/hr  x 24 hr = 240 ml
Med of 22.5 ml x 3 (q8°) = 67.5 ml
Flush of 1 ml x 3 = 3 ml
Formula of 30 ml x 8 (q 3°) = 240 ml
Crystal's intake is 550.5 ml for the past 24 hours.

Output:

17 + 33 + 55 + 45 + 52 + 50 + 15 + 36
= 303 ml
Crystal's output is 303 ml for the past 24 hours.

If Crystal weighs 5.0 kg, what is her average urinary output over the past 24 hours?

 
303 (ml) divided by 5 (kg) = 60.6 ml / kg
60.6 ml divided by 24 (hrs) = 2.525 (ml/kg/hr)
Crystal has averaged 2.525 ml/kg/hr for the past 24 hours.
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10/2003
For questions, contactLinda D. Puryear, RN, MSN