Chapter 11: Drug Calculations

📏 Measurement Systems & Conversions

  • Metric system – gram (g), liter (L), meter (m) → most accurate.
  • English system – less accurate, used for liquids/powders.
    • 1 tsp = 5 mL
    • 3 tsp = 1 Tbsp = 15 mL
    • 2 Tbsp = 1 oz = 30 mL
  • Other systems – “units” (e.g., insulin, heparin).

🏷️ Drug Labels

  • Contain: trade name, generic name, amount, lot #, expiration, storage info, controlled substance marking.
  • Precautions:
    • Watch for look-alike/sound-alike names.
    • Always check label 3 times with MAR.
    • Some meds require reconstitution (with sterile water, saline, or special diluent).

🧮 Drug Calculation Methods

👉 Always use one method consistently.

  1. Basic Formula (BF):
  2. D÷H×V=AmountD ÷ H × V = AmountD÷H×V=Amount

    Example: Order 0.5 g (500 mg), Available 250 mg/tab → 2 tabs.

  3. Ratio & Proportion (RP):
  4. H:V::D:xH:V :: D:xH:V::D:x

    Example: 250 mg:1 tab :: 500 mg:x → x=2 tabs.

  5. Fractional Equation (FE):
  6. H/V=D/xH/V = D/xH/V=D/x → cross multiply.

  7. Dimensional Analysis (DA):
  8. Converts across units with label factors.

  9. Body Weight (mg/kg):
  10. Convert lb → kg (2.2 lb = 1 kg).

    Example: 88 lb = 40 kg. Order 20 mg/kg/day → 800 mg/day → 400 mg per dose.

  11. Body Surface Area (BSA):
    • West Nomogram (height + weight).
    • Square root formula → Drug dose × BSA (m²).
    • Example: Order 100 mg/m², BSA = 1.8 → 180 mg/day.

🔄 Rounding Rules

  • Round tablets/caplets to nearest ½ if scored.
  • Round to ¼ if tablet is scored that way.

🥤 Enteral Administration

  • Forms: tablets, capsules, powders, liquids.
  • Do NOT crush sustained-release or enteric-coated.
  • NG/G-tube:
    • Don’t mix with feeding.
    • Dilute with 15–30 mL water.
    • Flush with 15–30 mL water after giving.

💉 Parenteral Administration

  • Consider dose, syringe, vial/ampule, technique.
  • IV routes: IV push (IVP), IV piggyback (IVPB), continuous infusion.
  • Always check rate of administration and dilution to prevent vein irritation.
  • Use infusion pumps, secondary sets, safety devices.
  • Extra caution with heparin & critical care drugs.

💧 IV Flow Rate Calculations

1. mL per hour (pump)

Volume (mL)÷Hours=mL/h\text{Volume (mL)} ÷ \text{Hours} = \text{mL/h}

Volume (mL)÷Hours=mL/h

2. Drops per minute (gravity drip)

mL/h×gtt/mL60=gtt/min\text{mL/h} × \frac{gtt/mL}{60} = gtt/min

mL/h×60gtt/mL=gtt/min

Example:

  • 1000 mL in 8 hr with 10 gtt/mL set:
  • 1000 ÷ 8 = 125 mL/h.

    125 × 10 ÷ 60 ≈ 21 gtt/min.

Example 2:

  • 75 mL over 40 min with 60 gtt/mL set:
  • (75 × 60) ÷ 40 = 113 gtt/min.

🚑 Critical Care Drugs

  • Usually titrated to patient’s response.
  • Must monitor patient continuously (e.g., cardiac drips, pressors).

In short:

  • Use metric system (most accurate).
  • Know 3 calculation methods (basic formula, ratio/proportion, dimensional analysis).
  • Adjust doses by weight or BSA for pediatrics/oncology.
  • Apply correct IV flow rate formulas.
  • Always double-check high-risk drugs, look-alike/sound-alike names, and rounding rules.