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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
Which group of findings suggests Kawasaki disease?
AHigh fever for 3 days, then a pink rash as the fever settles
BLow-grade fever, a barking cough and stridor that are worse at night
CFever for at least 5 days, red eyes without discharge, cracked red lips and swollen hands and feet
DFever with an itchy vesicular rash that starts on the trunk, spreads outwards and crusts over within days
2.Pediatric nursingHard
A 9-year-old is being treated for an acute asthma attack. Which finding shows that treatment is working?
AThe heart rate has risen further after each dose of salbutamol
BSlower breathing, easier speech and less use of the neck and chest muscles
CThe wheeze has disappeared and the child is now very drowsy
DThe child is now sitting bolt upright, leaning on the arms
3.Pediatric & critical-care dosingMedium
Practice exercise (made-up values, not clinical guidance). An infusion of 50 units of regular insulin in 50 mL runs at 4 mL/h. How many units per hour D does the patient receive?
50 units/50 mL4 mL/h
D = units/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 16 mL/h. The patient weighs 104 kg. What dose D in mcg/kg/min is the patient receiving? Round to one decimal place.
400 mg/250 mL16 mL/h104 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.
soup: 180 mLmilk: 100 mLIV infusion: 60 mL/h × 8 hIV antibiotic: 1 × 50 mL
I = mL
6.IV fluids & fluid balanceHard
Practice exercise (made-up values, not clinical guidance). A 1000 mL infusion starts at 20:00 at 150 mL/h. After 2 hours the rate is changed to 80 mL/h and is not changed again. How many hours t after the start will the bag be empty? Round to one decimal place.
1000 mL150 mL/h · 2 h80 mL/h
t = h
3Solutions
1.Pediatric nursing
Answer: C · Fever for at least 5 days, red eyes without discharge, cracked red lips and swollen hands and feet
Why this is the answer
Kawasaki disease causes persistent fever plus features such as non-purulent conjunctivitis, red cracked lips and strawberry tongue, rash, swollen hands and feet and enlarged neck lymph nodes. The other options describe croup, chickenpox and roseola.
Answer
C · Fever for at least 5 days, red eyes without discharge, cracked red lips and swollen hands and feet
2.Pediatric nursing
Answer: B · Slower breathing, easier speech and less use of the neck and chest muscles
Why this is the answer
Improvement shows as a lower respiratory rate, easier speech, less accessory muscle use and better oxygen saturation. A quiet chest with drowsiness signals exhaustion and danger, and tripod positioning shows ongoing distress.
Answer
B · Slower breathing, easier speech and less use of the neck and chest muscles
3.Pediatric & critical-care dosing
Answer: D = 4 units/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.
Concentration
50/50 = 1 units/mL
Units per hour
D = 4·1 = 4 units/h
Answer
D = 4 units/h
4.Pediatric & critical-care dosing
Answer: D = 4.1 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
16·1600 = 25600 mcg/h
25600/60 = 426.7 mcg/min
Per kilogram
D = 426.7/104 = 4.103 ≈ 4.1 mcg/kg/min
Answer
D = 4.1 mcg/kg/min
5.IV fluids & fluid balance
Answer: I = 810 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: 180 + 100 = 280 mL
IV infusion: 60·8 = 480 mL
IV antibiotic: 1·50 = 50 mL
I = 810 mL
Answer
I = 810 mL
6.IV fluids & fluid balance
Answer: t = 10.8 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.
First part
150·2 = 300 mL
1000 − 300 = 700 mL left
Second part
700/80 = 8.75 h
Total time
t = 2 + 8.75 = 10.75 ≈ 10.8 h
Answer
t = 10.8 h
That is about 10 h 45 min, so the bag runs out at about 06:45.