Complete drug dose calculation in pediatrics

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Complete Drug Dose Calculation in Pediatrics

Source: The Harriet Lane Handbook, 23rd ed. (Johns Hopkins Hospital) - the gold-standard pediatric clinical reference

1. Fundamental Principles of Pediatric Dosing

Pediatric drug dosing is weight-based, not age-based. Most drugs are dosed in mg/kg or mcg/kg, with a maximum ("cap") dose that prevents overdosing heavier children. Always:
  • Weigh the child in kilograms (never in pounds without converting: kg = lb ÷ 2.2)
  • Calculate the dose: Dose (mg) = Weight (kg) × Dose (mg/kg)
  • Compare to the maximum dose and use whichever is lower
  • Check the concentration of the available formulation, then calculate the volume to administer

2. Body Surface Area (BSA) Method

Some drugs (chemotherapy, certain antibiotics, some hormones) are dosed by BSA in m² rather than weight.

Mosteller Formula (most common):

BSA (m²) = √[ Height (cm) × Weight (kg) / 3600 ]

West Nomogram:

Alternatively use the BSA nomogram (Fig 30.1, Harriet Lane): draw a line from height to weight and read BSA at the intersection with the center column.
Dose = BSA (m²) × Dose per m²

3. Key Dose Calculation Steps (Step-by-Step)

Step 1:  Confirm weight in kg
Step 2:  Identify the drug's dose (mg/kg or mcg/kg or mg/m²)
Step 3:  Calculate: Dose = Weight × mg/kg
Step 4:  Check against maximum dose → use the lower value
Step 5:  Identify available concentration (mg/mL)
Step 6:  Volume (mL) = Dose (mg) ÷ Concentration (mg/mL)
Step 7:  Double-check with a second provider (especially for high-alert drugs)

4. Age-Based Estimation Formulas (When Exact Weight is Unknown)

Estimated Weight:

AgeFormula
Term newborn~3.5 kg
3–12 monthsAge (months) + 9 / 2
1–5 years(2 × Age in years) + 8
6–12 years(3 × Age in years) + 7
AdolescentUse actual weight

Broselow Tape:

In emergencies, the color-coded Broselow-Luten tape (placed alongside the patient from head to heel) provides weight estimate and pre-calculated doses for resuscitation drugs. This is the recommended approach in pediatric codes.

5. Pediatric Resuscitation Medications (TABLE 1.1, Harriet Lane)

These are critical doses used in cardiac arrest and emergencies:
MedicationIndicationDoseMax DoseRoute
AdenosineSVT (AV node reentry)0.1 mg/kg (1st), 0.2 mg/kg (2nd), 0.3 mg/kg (3rd)6 mg / 12 mg / 12 mgIV rapid push
AmiodaroneShock-refractory VF/pVT5 mg/kg over 20-60 min (with pulse) or push (no pulse)300 mgIV/IO
AtropineVagal bradycardia, AV block, cholinergic toxicity0.02 mg/kg0.5 mg/dose; min 0.1 mgIV/IO/IM/ET
Calcium chlorideHypocalcemia, hyperkalemia, Ca-channel blocker OD20 mg/kg over 5 min1 gIV/IO
DextroseDocumented hypoglycemia0.5-1 g/kg: Neonates: 5-10 mL/kg D10W; Infants/children: 2-4 mL/kg D25W; Adolescents: 1-2 mL/kg D50W-IV/IO
EpinephrineAsystole, PEA, VF, bradycardia0.01 mg/kg IV/IO (0.1 mg/mL concentration); 0.1 mg/kg ET (1 mg/mL)1 mg IV; 2.5 mg ETIV/IO/ET
LidocaineVF/pVT, wide complex tachycardia1 mg/kg IV/IO bolus100 mgIV/IO
Magnesium sulfateTorsades de pointes, hypomagnesemia, status asthmaticus25-50 mg/kg over 15-30 min2 gIV/IO
NaloxoneOpioid reversal0.01-0.1 mg/kg2 mg/doseIV/IO/IM/IN
Sodium bicarbonateMetabolic acidosis, hyperkalemia, TCA OD1 mEq/kg-IV/IO slow push
Epinephrine infusion: 0.05-2 mcg/kg/min

6. Rapid Sequence Intubation (RSI) Medications (TABLE 1.2, Harriet Lane)

Adjuncts:

DrugDoseIndication
Atropine0.02 mg/kg IV (max 0.5 mg)Pre-RSI in infants, prevent bradycardia
Glycopyrrolate0.004-0.01 mg/kg IV (max 0.1 mg)Decrease secretions, less tachycardia than atropine
Lidocaine1 mg/kg IV (max 100 mg)Elevated ICP, status asthmaticus

Induction Agents:

DrugDoseNotes
Etomidate0.3 mg/kg IV (max 20 mg)Minimal CV effect; avoid in septic shock
Ketamine1-2 mg/kg IV (max 150 mg); 4-6 mg/kg IMDrug of choice in asthma, shock
Fentanyl1-5 mcg/kg slow IV (max 100 mcg)Use in shock
Midazolam0.05-0.1 mg/kg IV/IM (max 6-10 mg by age)Mild shock
Propofol1-3 mg/kg IVDo NOT use in hemodynamic instability

Paralytics:

DrugDoseNotes
Succinylcholine1-2 mg/kg IV (infants: 2 mg/kg); 4 mg/kg IMDepolarizing; check for contraindications (hyperkalemia, myopathies)
Rocuronium0.6-1.2 mg/kg IVNon-depolarizing; reversible with sugammadex
Vecuronium0.1 mg/kg IVNon-depolarizing

7. Anaphylaxis - Emergency Epinephrine Dosing

PatientIM DoseAuto-injector
Children (any weight)0.01 mg/kg of 1 mg/mL solution-
7.5 to <15 kg-0.1 mg
15 to <30 kg-0.15 mg
≥30 kgMax 0.3 mg0.3 mg
Inject into the midanterolateral thigh. Repeat every 5-15 minutes as needed.

8. Fluid Dosing

Resuscitation Bolus:

  • 20 mL/kg of isotonic crystalloid (normal saline or lactated Ringer's) IV/IO - reassess and repeat as needed
  • In hemorrhagic shock: use blood products preferentially

Maintenance Fluids - Holliday-Segar Formula:

WeightRate
First 10 kg100 mL/kg/day (= 4 mL/kg/hr)
Next 10 kg (10-20 kg)+ 50 mL/kg/day (= + 2 mL/kg/hr)
Each kg above 20 kg+ 20 mL/kg/day (= + 1 mL/kg/hr)
Example - 25 kg child:
  • 1000 mL (first 10 kg) + 500 mL (next 10 kg) + 100 mL (5 kg × 20) = 1600 mL/day = 67 mL/hr
Shortcut (4-2-1 rule for mL/hr):
  • 4 mL/kg/hr for first 10 kg
  • +2 mL/kg/hr for 10-20 kg
  • +1 mL/kg/hr above 20 kg

9. Neonatal-Specific Considerations

  • Premature and term neonates have immature renal and hepatic function - dosing intervals are often extended
  • Dextrose for hypoglycemia: 5-10 mL/kg of D10W (not D50W - risk of vascular injury)
  • GFR is very low at birth and matures over weeks to months - adjust doses of renally cleared drugs (e.g., aminoglycosides, vancomycin)
  • Volume of distribution is higher due to higher body water content - some drugs need higher mg/kg doses

10. Safe Prescribing Rules (Joint Commission "Do Not Use" List)

Do NOT writeProblemWrite instead
U (unit)Mistaken for "0" or "4"Write "unit"
IUMistaken for IV or 10Write "International Unit"
QD, q.d.Mistaken for each otherWrite "daily"
Trailing zero (1.0 mg)Decimal missed → 10× ODWrite "1 mg"
Naked decimal (.5 mg)Decimal missed → 5× ODWrite "0.5 mg"
MS, MSO4, MgSO4Morphine vs. magnesium confusionWrite out full name

11. High-Alert Medications in Pediatrics

Extra verification is required for:
  • Opioids (morphine, fentanyl) - weight-based, easy to overdose
  • Insulin - always confirm units vs. mL
  • Heparin - units/kg/hr infusion
  • Chemotherapy - BSA-based, institutional protocols mandatory
  • Concentrated electrolytes (KCl, NaCl 3%) - never give undiluted
  • Digoxin - narrow therapeutic index; different loading/maintenance doses by age

12. Quick Reference - Common Pediatric Doses

DrugDoseMaxRoute
Acetaminophen10-15 mg/kg every 4-6 hr75 mg/kg/day or 4 g/dayPO/PR/IV
Ibuprofen5-10 mg/kg every 6-8 hr40 mg/kg/day or 2.4 g/dayPO (≥6 months)
Amoxicillin25-45 mg/kg/day ÷ every 8-12 hr3-4 g/dayPO
Ceftriaxone50-100 mg/kg/day ÷ every 12-24 hr4 g/dayIV/IM
Morphine0.05-0.1 mg/kg every 2-4 hr PRN15 mg/doseIV slow push
Albuterol nebulized0.15 mg/kg (min 2.5 mg)5 mgInhaled
Ondansetron0.1-0.15 mg/kg4 mg (2-12 yr); 8 mg (>12 yr)IV/PO
Dexamethasone (croup)0.6 mg/kg single dose10-16 mgPO/IM/IV
Diazepam (seizure)0.2-0.5 mg/kg10 mg/dose (IV)IV/PR
Lorazepam (seizure)0.05-0.1 mg/kg4 mg/doseIV/IO

13. Practical Worked Examples

Example 1: Febrile 3-year-old, weighs 14 kg

  • Ibuprofen 10 mg/kg PO
  • Dose = 14 × 10 = 140 mg
  • Children's ibuprofen 100 mg/5 mL → Volume = 140 ÷ 20 = 7 mL

Example 2: Septic infant (6 months, 7 kg) - ceftriaxone 100 mg/kg IV

  • Dose = 7 × 100 = 700 mg
  • Max = 4 g → 700 mg is below max ✓
  • Available: 500 mg/5 mL → Volume = 700/100 = 7 mL

Example 3: Cardiac arrest in 20 kg child - epinephrine IV

  • Dose = 0.01 mg/kg = 0.01 × 20 = 0.2 mg
  • Available: 0.1 mg/mL (1:10,000) → Volume = 0.2/0.1 = 2 mL

Example 4: Status epilepticus, 30 kg child - lorazepam IV

  • Dose = 0.1 mg/kg = 0.1 × 30 = 3 mg
  • Max = 4 mg → 3 mg is below max ✓
  • Available: 2 mg/mL → Volume = 3/2 = 1.5 mL

Key Takeaways

  1. Always use mg/kg and never skip checking the maximum dose
  2. Use actual weight when available; use Broselow tape in emergencies
  3. BSA-based dosing is reserved for chemotherapy and select drugs
  4. The 4-2-1 rule is the standard for maintenance fluid calculation
  5. Avoid dangerous abbreviations - decimal errors are a leading cause of pediatric medication errors
  6. Two-provider verification is standard for high-alert medications
  7. Neonates require dose and interval adjustments due to immature organ function
- The Harriet Lane Handbook, 23rd ed. (Johns Hopkins), Chapter 1 & Chapter 30 (Formulary)
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