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Lesson Three
• In this lesson I will introduce the Master Formula
• We will cover every aspect of the Master Formula, and how to use it for drug calculations.
Objectives
• Learn the components of the Master Formula.
• Learn how to decide which components are needed when using the Master Formula.
• Apply all components of drug calculation.
The Master Formula
DD x Wt x SS------------------
C x T
DD = Desired DoseWt = Weight in kgSS = Solution SetC = ConcentrationT = Time
The Master Formula
• Know when to use the entire formula, or just parts.
• The desired dose tells you what parts you will need.– DD = 5mcg/kg over 10min
• Since the DD includes a weight and time portion, you know you will need to use all parts of the Master Formula.
The Master Formula
• What components will you need for the following doses:– DD = 30mg– DD = 30mg/kg– DD = 30mg/kg/min– DD = 30mg/kg over 10min
The Master Formula
• What components will you need for the following doses:– DD = 30mg - DD & C– DD = 30mg/kg– DD = 30mg/kg/min– DD = 30mg/kg over 10min
The Master Formula
• What components will you need for the following doses:– DD = 30mg - DD & C– DD = 30mg/kg - DD, Wt, & C – DD = 30mg/kg/min– DD = 30mg/kg over 10min
The Master Formula
• What components will you need for the following doses:– DD = 30mg - DD & C– DD = 30mg/kg - DD, Wt, & C – DD = 30mg/kg/min - DD, Wt, SS, & C– DD = 30mg/kg over 10min
The Master Formula
• What components will you need for the following doses:
– DD = 30mg - DD & C– DD = 30mg/kg - DD, Wt, & C – DD = 30mg/kg/min - DD, Wt, SS, & C– DD = 30mg/kg over 10min - DD, Wt, SS, C, & T
The Master Formula
• Simplification:– If a variable exists twice, cross it out.
(DD)mcg/kg/min x (Wt)kg x (SS)gtts/ml
(C)mcg/ml x (T)
The Master Formula
• Simplification:– If a variable exists twice, cross it out.
(DD)mcg/kg/min x (Wt)kg x (SS)gtts/ml
(C)mcg/ml x (T)
The Master Formula
• Simplification:– If a variable exists twice, cross it out.
(DD)mcg/kg/min x (Wt)kg x (SS)gtts/ml
(C)mcg/ml x (T)
The Master Formula
• Simplification:– If a variable exists twice, cross it out.
(DD)mcg/kg/min x (Wt)kg x (SS)gtts/ml
(C)mcg/ml x (T)
The Master Formula
• Simplification:– Circle the remaining variables
(DD)mcg/kg/min x (Wt)kg x (SS)gtts/ml
(C)mcg/ml x (T)
The Master Formula
• Simplification:– Rewrite with the remaining variables off to
the side.
(DD) x (Wt) x (SS) gtts/min
(C) x (T)
The Master Formula
• Simplification:– This is how it looks with numbers
5mcg/kg/min x 50kg x 10gtts/ml
1600mcg/ml
The Master Formula
• Simplification:– This is how it looks with numbers
5mcg/kg/min x 50kg x 10gtts/ml
1600mcg/ml
The Master Formula
• Simplification:– This is how it looks with numbers
5mcg/kg/min x 50kg x 10gtts/ml
1600mcg/ml x min
The Master Formula
• Simplification:– This is how it looks with numbers
5 x 50 x 10 gtts/min
1600
The Master Formula
• Simplification:– This is how it looks with numbers
5 x 50 x 10 gtts/min
1600
The Master Formula
• Simplification:– This is how it looks with numbers
5 x 50 x 10 gtts/min
1600
The Master Formula
• Simplification:– This is how it looks with numbers
5 x 5 x 1 gtts/min
16
The Master Formula
• Simplification:– This is how it looks with numbers
25 x 1 gtts/min
16
The Master Formula
• Simplification:– This is how it looks with numbers
25 gtts/min
16
The Master Formula
• Simplification:– This is how it looks with numbers
25 gtts/min
16
25 ÷ 16 = 1.5625
The Master Formula
• Simplification:
about 2gtts/min
The Master Formula
• You are ordered to administer 0.25mg/kg of Cardizam slow IV push, to your patient who has rapid atrial fibrillation.
• You have a patent IV line with a 5cc vial. There is 25mg of Cardizem in the vial.
The Master Formula
• DD = 0.25mg/kg
• C = 25mg/5ml
The Master Formula
• DD = 0.25mg/kg
• C = 25mg/5ml
DD x Wt x SS
------------------
C x T
The Master Formula
• DD = 0.25mg/kg
• C = 25mg/5ml
DD x Wt x SS
------------------
C x T
The Master Formula
• DD = 0.25mg/kg
• C = 25mg/5ml
• Weight = 176 lb
The Master Formula
• DD = 0.25mg/kg
• C = 25mg/5ml
• Weight = 176 lb
176 ÷ 2 = 88
The Master Formula
• DD = 0.25mg/kg
• C = 25mg/5ml
• Weight = 176 lb
176 ÷ 2 = 88 - 8 = 80
The Master Formula
• DD = 0.25mg/kg
• C = 25mg/5ml
• Weight = 176 lb = 80kg
176 ÷ 2 = 88 - 8 = 80
The Master Formula
• DD = 0.25mg/kg• C = 25mg/5ml• Weight = 176 lb = 80kg
0.25mg/kg x 80kg
25mg/5ml
The Master Formula
• DD = 0.25mg/kg• C = 25mg/5ml• Weight = 176 lb = 80kg
0.25mg/kg x 80kg25 mg / 5 ml
÷ 5 ÷5
The Master Formula
• DD = 0.25mg/kg• C = 25mg/5ml• Weight = 176 lb = 80kg
0.25mg/kg x 80kg25 mg / 5 ml
÷ 5 ÷5 5mg / 1ml
The Master Formula
• DD = 0.25mg/kg• C = 25mg/5ml• Weight = 176 lb = 80kg
0.25mg/kg x 80kg5mg/ml
The Master Formula
• DD = 0.25mg/kg• C = 25mg/5ml• Weight = 176 lb = 80kg
0.25mg/kg x 80kg5mg/ml
The Master Formula
• DD = 0.25mg/kg• C = 25mg/5ml• Weight = 176 lb = 80kg
0.25 x 805ml
The Master Formula
• DD = 0.25mg/kg• C = 25mg/5ml• Weight = 176 lb = 80kg
0.25 x 80 ÷ 55ml ÷ 5
The Master Formula
• DD = 0.25mg/kg• C = 25mg/5ml• Weight = 176 lb = 80kg
0.25 x 161ml
The Master Formula
• DD = 0.25mg/kg• C = 25mg/5ml• Weight = 176 lb = 80kg
0.25 x 16ml
0.25 x 16 = 16 ÷ 4 = 4
The Master Formula
• DD = 0.25mg/kg• C = 25mg/5ml• Weight = 176 lb = 80kg
4ml
The Master Formula
• You are ordered to administer Diprivan, 10mcg/kg/min
• You have a 132 lb patient and a 50cc Diprivan bottle with 500mg of drug inside.
• You are to use a minidrip set
The Master Formula
• DD = 10mcg/kg/min
• SS = 60gtts/ml
• C = 500mg/50ml
• Wt = 132 lb
The Master Formula
• DD = 10mcg/kg/min
• SS = 60gtts/ml
• C = 500mg/50ml
• Wt = 132 lb
132 ÷ 2 = 66 - 6 = 60
The Master Formula
• DD = 10mcg/kg/min• SS = 60gtts/ml• C = 500mg/50ml• Wt = 60kg
10mcg/kg/min x 60 kg x 60gtts/ml
500mg/50ml
The Master Formula
• DD = 10mcg/kg/min• SS = 60gtts/ml• C = 500mg/50ml• Wt = 60kg
10mcg/kg/min x 60 kg x 60gtts/ml
500mg/50ml
The Master Formula
• DD = 10mcg/kg/min• SS = 60gtts/ml• C = 500mg/50ml• Wt = 60kg
10mcg/kg/min x 60 kg x 60gtts/ml
500,000mcg/50ml
The Master Formula
• DD = 10mcg/kg/min• SS = 60gtts/ml• C = 500mg/50ml• Wt = 60kg
10mcg/kg/min x 60 kg x 60gtts/ml
500,000mcg / 50ml
÷ 50 ÷ 50
The Master Formula
• DD = 10mcg/kg/min• SS = 60gtts/ml• C = 500mg/50ml• Wt = 60kg
10mcg/kg/min x 60 kg x 60gtts/ml
500,000mcg / 50ml
÷ 50 ÷ 50
10,000mcg/ml
The Master Formula
• DD = 10mcg/kg/min• SS = 60gtts/ml• C = 500mg/50ml• Wt = 60kg
10mcg/kg/min x 60 kg x 60gtts/ml
10,000mcg/ml
The Master Formula
• DD = 10mcg/kg/min• SS = 60gtts/ml• C = 500mg/50ml• Wt = 60kg
10mcg/kg/min x 60 kg x 60gtts/ml
10,000mcg/ml
The Master Formula
• DD = 10mcg/kg/min• SS = 60gtts/ml• C = 500mg/50ml• Wt = 60kg
10 x 60 x 60gtts
10,000 x min
The Master Formula
• DD = 10mcg/kg/min• SS = 60gtts/ml• C = 500mg/50ml• Wt = 60kg
10 x 60 x 60gtts
10,000 x min
The Master Formula
• DD = 10mcg/kg/min• SS = 60gtts/ml• C = 500mg/50ml• Wt = 60kg
1 x 6 x 6 gtts
10 min
The Master Formula
• DD = 10mcg/kg/min• SS = 60gtts/ml• C = 500mg/50ml• Wt = 60kg
1 x 6 x 6 = 36 gtts
10 min
The Master Formula
• DD = 10mcg/kg/min• SS = 60gtts/ml• C = 500mg/50ml• Wt = 60kg
36 gtts
10 min
The Master Formula
• DD = 10mcg/kg/min• SS = 60gtts/ml• C = 500mg/50ml• Wt = 60kg
36 gtts
10 min
36 ÷ 10 = 3.6
The Master Formula
• DD = 10mcg/kg/min• SS = 60gtts/ml• C = 500mg/50ml• Wt = 60kg
about 4gtts/min
The Master Formula
• You are ordered to administer 250ml of fluid over two hours.
• You have a minidrip to use.
The Master Formula
• DD = 250ml
• SS = 60gtts/ml
• T = 120min
The Master Formula
• DD = 250ml
• SS = 60gtts/ml
• T = 120min
250ml x 60gtts/ml
120min
The Master Formula
• DD = 250ml
• SS = 60gtts/ml
• T = 120min
250ml x 60gtts/ml
120min
The Master Formula
• DD = 250ml
• SS = 60gtts/ml
• T = 120min
250 x 60 gtts/min
120
The Master Formula
• DD = 250ml
• SS = 60gtts/ml
• T = 120min
250 x 60 gtts/min
120
The Master Formula
• DD = 250ml
• SS = 60gtts/ml
• T = 120min
250 x 6 gtts/min
12
The Master Formula
• DD = 250ml
• SS = 60gtts/ml
• T = 120min
250 x 6 ÷ 6 gtts/min
12 ÷ 6
The Master Formula
• DD = 250ml
• SS = 60gtts/ml
• T = 120min
250 x 1 gtts/min
2
The Master Formula
• DD = 250ml
• SS = 60gtts/ml
• T = 120min
125 x 1 gtts/min
1
The Master Formula
• DD = 250ml
• SS = 60gtts/ml
• T = 120min
125 x 1 gtts/min
The Master Formula
• DD = 250ml
• SS = 60gtts/ml
• T = 120min
125 gtts/min
The Master Formula
• You have been ordered to administer 150mg of Amiodarone in a 100cc bag of D5W over 10 minutes for a patient with stable runs of ventricular tachycardia.
• You have a 10gtts/ml solution set.
The Master Formula
• DD = 150mg• SS = 10gtts/ml• C = 150mg/100ml
• T = 10min
The Master Formula
• DD = 150mg• SS = 10gtts/ml• C = 150mg/100ml
• T = 10min
150mg x 10gtts/ml
150mg/100ml x 10min
The Master Formula
• DD = 150mg• SS = 10gtts/ml• C = 150mg/100ml
• T = 10min
150mg x 10gtts/ml
1.5mg/ml x 10min
The Master Formula
• DD = 150mg• SS = 10gtts/ml• C = 150mg/100ml
• T = 10min
150 x 10 gtts/min
1.5 x 10
The Master Formula
• DD = 150mg• SS = 10gtts/ml• C = 150mg/100ml
• T = 10min
150 x 1 gtts/min
1.5 x 1
The Master Formula
• DD = 150mg• SS = 10gtts/ml• C = 150mg/100ml
• T = 10min
150 gtts/min
1.5
The Master Formula
• DD = 150mg• SS = 10gtts/ml• C = 150mg/100ml
• T = 10min
100 gtts/min
Lesson Three
• This is the conclusion of lesson 3.
• Put everything you have learned together, and practice multiple drug calculations.
