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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 child has cola-coloured urine, puffy eyes and high blood pressure two weeks after a sore throat. What is the likely diagnosis?
AAcute post-streptococcal glomerulonephritis
BNephrotic syndrome
CUrinary tract infection
DWilms tumour
2.Pediatric nursingHard
Newborn pulse oximetry screening shows 97% in the right hand and 91% in the foot. What does this mean?
AA normal result, because foot readings are always lower
BNormal transition; no further checks are needed
CA faulty probe or a cold foot; repeat the whole test at the 6-week check
DAn abnormal screen that must be followed up promptly under the screening protocol
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 14 units/kg/h for a patient who weighs 80 kg. At what rate R do you set the pump, in mL/h? Round to one decimal place.
25 000 units/250 mL14 units/kg/h80 kg
R = mL/h
4.Pediatric & critical-care dosingHard
Practice exercise (made-up values, not clinical guidance). A dopamine infusion of 800 mg in 500 mL runs at 4 mL/h. The patient weighs 75 kg. What dose D in mcg/kg/min is the patient receiving? Round to one decimal place.
800 mg/500 mL4 mL/h75 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. Count ice chips as half their volume.
soup: 200 mLtea: 240 mLice chips: 120 mLIV infusion: 125 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 bag runs by pump at 150 mL/h. At 22:00, 800 mL have already been infused. How many hours t until the bag is empty? Round to one decimal place.
1000 mL800 mL infused150 mL/h
t = h
3Solutions
1.Pediatric nursing
Answer: A · Acute post-streptococcal glomerulonephritis
Why this is the answer
Post-streptococcal glomerulonephritis follows a throat infection by about 1–3 weeks (longer after a skin infection) and causes haematuria, oedema and hypertension. Blood pressure, fluid balance and weight are monitored.
Answer
A · Acute post-streptococcal glomerulonephritis
2.Pediatric nursing
Answer: D · An abnormal screen that must be followed up promptly under the screening protocol
Why this is the answer
The right hand reflects pre-ductal blood and the foot post-ductal blood. A difference of more than 3%, or a reading below about 95% in both limbs, is an abnormal screen. Depending on the protocol this means a prompt repeat test or immediate medical review, with echocardiography if it persists, because it can signal critical congenital heart disease.
Answer
D · An abnormal screen that must be followed up promptly under the screening protocol
3.Pediatric & critical-care dosing
Answer: R = 11.2 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
14·80 = 1 120 units/h
Concentration
25 000/250 = 100 units/mL
Pump rate
R = 1120/100 = 11.2 mL/h
Answer
R = 11.2 mL/h
4.Pediatric & critical-care dosing
Answer: D = 1.4 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
800 000/500 = 1600 mcg/mL
Micrograms per minute
4·1600 = 6400 mcg/h
6400/60 = 106.7 mcg/min
Per kilogram
D = 106.7/75 = 1.422 ≈ 1.4 mcg/kg/min
Answer
D = 1.4 mcg/kg/min
5.IV fluids & fluid balance
Answer: I = 1550 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: 200 + 240 = 440 mL
ice chips: 120/2 = 60 mL
IV infusion: 125·8 = 1000 mL
IV antibiotic: 1·50 = 50 mL
I = 1550 mL
Answer
I = 1550 mL
6.IV fluids & fluid balance
Answer: t = 1.3 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 − 800 = 200 mL
Time
t = 200/150 = 1.333 ≈ 1.3 h
Answer
t = 1.3 h
That is about 1 h 20 min, so the bag runs out at about 23:20.