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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
A newborn has a cephalohaematoma. What should the nurse monitor closely over the next days?
AJaundice, because the breakdown of the trapped blood adds to bilirubin
BBlood pressure, because the swelling causes hypertension
CUrine colour, because the swelling causes kidney damage
DHead circumference twice daily, because it signals hydrocephalus
2.Pediatric nursingHard
A 6-week-old is admitted with suspected pertussis. What is the main nursing concern?
AApnoea and cyanosis during or after coughing spells
BHigh blood pressure from the coughing
CConstipation from reduced feeding
DA rash spreading from the face to the trunk
3.Pediatric & critical-care dosingMedium
Practice exercise (made-up values, not clinical guidance). A bag contains 25 000 units of heparin in 250 mL. The order is 15 units/kg/h for a patient who weighs 93 kg. At what rate R do you set the pump, in mL/h? Round to one decimal place.
25 000 units/250 mL15 units/kg/h93 kg
R = mL/h
4.Pediatric & critical-care dosingHard
Practice exercise (made-up values, not clinical guidance). A dobutamine infusion of 250 mg in 250 mL runs at 32 mL/h. The patient weighs 70 kg. What dose D in mcg/kg/min is the patient receiving? Round to one decimal place.
250 mg/250 mL32 mL/h70 kg
D = mcg/kg/min
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 500 mL bag runs by pump at 125 mL/h. At 20:30, 200 mL have already been infused. How many hours t until the bag is empty? Round to one decimal place.
500 mL200 mL infused125 mL/h
t = h
3Solutions
1.Pediatric nursing
Answer: A · Jaundice, because the breakdown of the trapped blood adds to bilirubin
Why this is the answer
A cephalohaematoma is a collection of blood under the periosteum. As the red cells break down, bilirubin rises, so these babies have a higher risk of jaundice. The swelling itself usually resolves over weeks without treatment.
Answer
A · Jaundice, because the breakdown of the trapped blood adds to bilirubin
2.Pediatric nursing
Answer: A · Apnoea and cyanosis during or after coughing spells
Why this is the answer
Young infants with pertussis are at high risk of apnoea, cyanosis, exhaustion and feeding problems. They need close cardiorespiratory monitoring, suction equipment at hand and droplet precautions.
Answer
A · Apnoea and cyanosis during or after coughing spells
3.Pediatric & critical-care dosing
Answer: R = 14 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
15·93 = 1 395 units/h
Concentration
25 000/250 = 100 units/mL
Pump rate
R = 1395/100 = 13.95 ≈ 14 mL/h
Answer
R = 14 mL/h
4.Pediatric & critical-care dosing
Answer: D = 7.6 mcg/kg/min
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
250 000/250 = 1000 mcg/mL
Micrograms per minute
32·1000 = 32000 mcg/h
32000/60 = 533.3 mcg/min
Per kilogram
D = 533.3/70 = 7.619 ≈ 7.6 mcg/kg/min
Answer
D = 7.6 mcg/kg/min
5.IV fluids & fluid balance
Answer: B = 385 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: 250 + 120 = 370 mL
ice chips: 120/2 = 60 mL
IV infusion: 80·12 = 960 mL
IV antibiotic: 1·50 = 50 mL
total intake = 1440 mL
Total output
175 + 425 + 425 + 30 = 1055 mL
Balance
B = 1440 − 1055 = 385 mL
Answer
B = 385 mL
Positive: more fluid went in than came out.
6.IV fluids & fluid balance
Answer: t = 2.4 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
500 − 200 = 300 mL
Time
t = 300/125 = 2.4 h
Answer
t = 2.4 h
That is about 2 h 24 min, so the bag runs out at about 22:54.