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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 family has a 2-year-old. Which advice about medicines at home is best?
AKeep daily medicines in a handbag so they are always at hand
BRely on child-resistant caps alone, since toddlers are not strong enough to open them
CCall medicines "sweets" so the child is happy to take them
DLock all medicines away, out of reach and sight, in child-resistant containers
2.Pediatric nursingHard
A child with a head injury now has rising blood pressure, a falling heart rate and irregular breathing. What does this indicate?
AA late sign of raised intracranial pressure; an emergency
BNormal recovery after a head injury
CPain from the injury that needs stronger, regular analgesia
DDehydration that needs more fluids
3.Pediatric & critical-care dosingMedium
Practice exercise (made-up values, not clinical guidance). An infusion of 100 units of regular insulin in 100 mL runs at 12 mL/h. How many units per hour D does the patient receive?
100 units/100 mL12 mL/h
D = units/h
4.Pediatric & critical-care dosingHard
Practice exercise (made-up values, not clinical guidance). A patient who weighs 90 kg has an order for nitroglycerin at 50 mcg/min. The bag contains 50 mg in 250 mL. Find the pump rate R in mL/h. Round to one decimal place.
50 mg/250 mL50 mcg/min90 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 8-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).
Practice exercise (made-up values, not clinical guidance). A 1000 mL bag runs by pump at 60 mL/h. At 16:30, 550 mL have already been infused. How many hours t until the bag is empty? Round to one decimal place.
1000 mL550 mL infused60 mL/h
t = h
3Solutions
1.Pediatric nursing
Answer: D · Lock all medicines away, out of reach and sight, in child-resistant containers
Why this is the answer
Toddlers explore by climbing and putting things in their mouths. Medicines should be locked away and put back immediately after use. Calling medicine sweets encourages children to take it on their own.
Answer
D · Lock all medicines away, out of reach and sight, in child-resistant containers
2.Pediatric nursing
Answer: A · A late sign of raised intracranial pressure; an emergency
Why this is the answer
Hypertension with a widening pulse pressure, bradycardia and irregular respirations is Cushing's triad, a late sign of raised intracranial pressure and possible brain herniation. Immediate emergency treatment is needed.
Answer
A · A late sign of raised intracranial pressure; an emergency
3.Pediatric & critical-care dosing
Answer: D = 12 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
100/100 = 1 units/mL
Units per hour
D = 12·1 = 12 units/h
Answer
D = 12 units/h
4.Pediatric & critical-care dosing
Answer: R = 15 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
50 000/250 = 200 mcg/mL
Dose per hour
The order is per minute for the whole patient, so the weight is not needed.
50·60 = 3000 mcg/h
Pump rate
R = 3000/200 = 15 mL/h
Answer
R = 15 mL/h
5.IV fluids & fluid balance
Answer: B = 925 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: 300 + 200 = 500 mL
IV infusion: 125·8 = 1000 mL
IV antibiotic: 1·50 = 50 mL
total intake = 1550 mL
Total output
275 + 200 + 150 = 625 mL
Balance
B = 1550 − 625 = 925 mL
Answer
B = 925 mL
Positive: more fluid went in than came out.
6.IV fluids & fluid balance
Answer: t = 7.5 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 − 550 = 450 mL
Time
t = 450/60 = 7.5 h
Answer
t = 7.5 h
That is about 7 h 30 min, so the bag runs out at about 00:00.