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1Formulas and methods
Pediatric nursing
Method
Note the child’s age first: it sets the normal vital signs, the milestones and the right pain scale.
Assess airway, breathing and circulation, remembering that children compensate and then deteriorate fast.
Match the action to the development stage and involve the family.
Check that the answer is safe for a child: weight-based, no aspirin in viral illness, no codeine under 12.
Pediatric & critical-care dosing
Daily dose
mg/day = mg/kg/day × weight (kg)
Doses per day
number = 24 h / dosing interval (h)
Pounds to kilograms
kg = lb / 2.2
Infusion concentration
units/mL = units in bag / bag volume
Pump rate
mL/h = dose per hour / concentration
Titrated drip
mL/h = mcg/kg/min × kg × 60 / (mcg/mL)
Dose from pump rate
mcg/kg/min = mL/h × (mcg/mL) / (60 × kg)
Units
1 mg = 1000 mcg
IV fluids & fluid balance
Holliday–Segar per hour
4 mL/kg (first 10 kg) + 2 mL/kg (next 10 kg) + 1 mL/kg (each kg above 20)
Holliday–Segar per day
100 / 50 / 20 mL/kg for the same bands
Fluid balance
intake − output
Ice chips
count as half their volume
Urine output
mL/kg/h = mL / (kg × h)
Infusion time
time (h) = volume left (mL) / rate (mL/h)
Volume infused
mL = rate × time
2Practice problems
1.Pediatric nursingMedium
The nurse uses a blood pressure cuff that is too small for a child's arm. What effect will this have?
AThe reading will be falsely high
BThe reading will be accurate but slower to obtain
CThe reading will be falsely low
DThe cuff will not inflate at all
2.Pediatric nursingHard
A child with leukaemia and a very high white cell count starts chemotherapy. Which blood results suggest tumour lysis syndrome?
ALow haemoglobin and low platelets with a normal potassium
BLow potassium, low phosphate, low uric acid and high calcium
CHigh potassium, high phosphate, high uric acid and low calcium
DHigh sodium, high glucose, low albumin and low urea
3.Pediatric & critical-care dosingMedium
Practice exercise (made-up values, not clinical guidance). A bag contains 25 000 units of heparin in 500 mL. The order is 16 units/kg/h for a patient who weighs 89 kg. At what rate R do you set the pump, in mL/h? Round to one decimal place.
25 000 units/500 mL16 units/kg/h89 kg
R = mL/h
4.Pediatric & critical-care dosingHard
Practice exercise (made-up values, not clinical guidance). A bag contains dobutamine 500 mg in 250 mL. The order is 12.5 mcg/kg/min for a patient who weighs 95 kg. At what rate R do you set the pump, in mL/h? Round to one decimal place.
500 mg/250 mL12.5 mcg/kg/min95 kg
R = mL/h
5.IV fluids & fluid balanceMedium
Practice exercise (made-up values, not clinical guidance). The record shows a patient's intake and output for one 12-hour shift. The IV infusion ran at the rate shown for the whole shift. Find the fluid balance B = intake − output in mL (a negative answer means a net loss). Count ice chips as half their volume.
Practice exercise (made-up values, not clinical guidance). A 1000 mL bag runs by pump at 120 mL/h. At 06:30, 350 mL have already been infused. How many hours t until the bag is empty? Round to one decimal place.
1000 mL350 mL infused120 mL/h
t = h
3Solutions
1.Pediatric nursing
Answer: A · The reading will be falsely high
Why this is the answer
A cuff that is too small gives falsely high readings, and one that is too large gives falsely low readings. The bladder width should be about 40% of the arm circumference.
Answer
A · The reading will be falsely high
2.Pediatric nursing
Answer: C · High potassium, high phosphate, high uric acid and low calcium
Why this is the answer
Rapid breakdown of tumour cells releases potassium, phosphate and nucleic acids (forming uric acid); phosphate binds calcium, lowering it. This can cause arrhythmias and kidney failure, so hydration, allopurinol or rasburicase and close monitoring are used.
Answer
C · High potassium, high phosphate, high uric acid and low calcium
3.Pediatric & critical-care dosing
Answer: R = 28.5 mL/h
Heparin and insulin infusions: concentration = units in the bag/bag volume (units/mL). Pump rate (mL/h) = units per hour/concentration, and units per hour = mL/h × concentration. For a weight-based order, units/h = units/kg/h × weight first. A bolus volume = units needed/vial strength. The numbers are for practice only; at the bedside always follow local protocols and have high-risk doses double-checked.
Units per hour
16·89 = 1 424 units/h
Concentration
25 000/500 = 50 units/mL
Pump rate
R = 1424/50 = 28.48 ≈ 28.5 mL/h
Answer
R = 28.5 mL/h
4.Pediatric & critical-care dosing
Answer: R = 35.6 mL/h
Titrated drips: first find the concentration in mcg/mL (mg × 1000/mL). For a weight-based order, mcg/min = mcg/kg/min × weight. Then mL/h = mcg/min × 60/concentration. Working backwards, mcg/kg/min = mL/h × concentration/(60 × weight). The numbers are for practice only; at the bedside always follow local protocols and have high-risk doses double-checked.
Concentration
500 mg = 500 000 mcg
500 000/250 = 2000 mcg/mL
Dose per minute and per hour
12.5·95 = 1188 mcg/min
1188·60 = 71250 mcg/h
Pump rate
R = 71250/2000 = 35.63 ≈ 35.6 mL/h
Answer
R = 35.6 mL/h
5.IV fluids & fluid balance
Answer: B = 610 mL
Intake and output: intake counts everything that goes in (oral fluids, IV infusions, IV medications and flushes, tube feeds); ice chips count as half their volume. Output counts urine, drains, vomit and other losses. Balance = total intake − total output; a negative balance is a net loss. The numbers are for practice only; at the bedside always follow local protocols and have high-risk doses double-checked.
Total intake
oral: 100 + 240 + 120 = 460 mL
ice chips: 200/2 = 100 mL
IV infusion: 100·12 = 1200 mL
IV antibiotic: 1·50 = 50 mL
total intake = 1810 mL
Total output
400 + 300 + 150 + 250 + 100 = 1200 mL
Balance
B = 1810 − 1200 = 610 mL
Answer
B = 610 mL
Positive: more fluid went in than came out.
6.IV fluids & fluid balance
Answer: t = 5.4 h
Infusion time: time (h) = volume to infuse (mL)/rate (mL/h); use the volume still left in the bag, not the bag size. Volume infused = rate × time. Convert decimal hours to hours and minutes with the fraction × 60 (0.5 h = 30 min, not 50 min). The numbers are for practice only; at the bedside always follow local protocols and have high-risk doses double-checked.
Volume left
1000 − 350 = 650 mL
Time
t = 650/120 = 5.417 ≈ 5.4 h
Answer
t = 5.4 h
That is about 5 h 25 min, so the bag runs out at about 11:55.