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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 12-year-old with type 1 diabetes will play a long football match. What should the nurse advise?
ACheck glucose before playing and keep fast-acting carbohydrate at hand
BInject an extra dose of insulin into the thigh just before he starts running
CAvoid sport, because exercise is unsafe with diabetes
DSkip the meal before the match to avoid high glucose
2.Pediatric nursingHard
A 7-year-old has a high fever, refuses to bear weight and has a warm, very tender area over the lower tibia. Which plan is most likely?
ARest, ice and an elastic bandage for a sprained ankle, with review in a week
BA plaster cast and discharge home the same day
CBlood cultures and prompt IV antibiotics for possible osteomyelitis
DMassage and physiotherapy to loosen the muscle
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 14 units/kg/h for a patient who weighs 79 kg. At what rate R do you set the pump, in mL/h? Round to one decimal place.
25 000 units/500 mL14 units/kg/h79 kg
R = mL/h
4.Pediatric & critical-care dosingHard
Practice exercise (made-up values, not clinical guidance). A dopamine infusion of 400 mg in 250 mL runs at 28 mL/h. The patient weighs 92 kg. What dose D in mcg/kg/min is the patient receiving? Round to one decimal place.
400 mg/250 mL28 mL/h92 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 8-hour shift. The IV infusion ran at the rate shown for the whole shift. Find the total intake I in mL.
milk: 100 mLwater: 350 mLtea: 240 mLIV infusion: 125 mL/h × 8 hIV antibiotic: 2 × 100 mL
I = mL
6.IV fluids & fluid balanceHard
Practice exercise (made-up values, not clinical guidance). A 1000 mL bag runs by pump at 80 mL/h. At 16:30, 500 mL have already been infused. How many hours t until the bag is empty? Round to one decimal place.
1000 mL500 mL infused80 mL/h
t = h
3Solutions
1.Pediatric nursing
Answer: A · Check glucose before playing and keep fast-acting carbohydrate at hand
Why this is the answer
Exercise increases glucose uptake by muscles, so hypoglycaemia can occur during or after sport, even overnight. Checking glucose, having extra carbohydrate and adjusting insulin as advised make sport safe and beneficial.
Answer
A · Check glucose before playing and keep fast-acting carbohydrate at hand
2.Pediatric nursing
Answer: C · Blood cultures and prompt IV antibiotics for possible osteomyelitis
Why this is the answer
Acute osteomyelitis in children is most often caused by Staphylococcus aureus. Blood cultures are taken and IV antibiotics started promptly, followed by a long course to prevent bone damage and chronic infection.
Answer
C · Blood cultures and prompt IV antibiotics for possible osteomyelitis
3.Pediatric & critical-care dosing
Answer: R = 22.1 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
14·79 = 1 106 units/h
Concentration
25 000/500 = 50 units/mL
Pump rate
R = 1106/50 = 22.12 ≈ 22.1 mL/h
Answer
R = 22.1 mL/h
4.Pediatric & critical-care dosing
Answer: D = 8.1 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
400 000/250 = 1600 mcg/mL
Micrograms per minute
28·1600 = 44800 mcg/h
44800/60 = 746.7 mcg/min
Per kilogram
D = 746.7/92 = 8.116 ≈ 8.1 mcg/kg/min
Answer
D = 8.1 mcg/kg/min
5.IV fluids & fluid balance
Answer: I = 1890 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.
Add the intake
oral: 100 + 350 + 240 = 690 mL
IV infusion: 125·8 = 1000 mL
IV antibiotic: 2·100 = 200 mL
I = 1890 mL
Answer
I = 1890 mL
6.IV fluids & fluid balance
Answer: t = 6.3 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 − 500 = 500 mL
Time
t = 500/80 = 6.25 ≈ 6.3 h
Answer
t = 6.3 h
That is about 6 h 15 min, so the bag runs out at about 22:45.