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Base Hospital
2003
Fall Recerts.
Medical Math
and Drug Calculations
mg/kg/min
ml/cc
Milligrams
Kilograms
Milliliters
Making Sence
of
Medical Math
gtts/min
gtts/min
mg
Kilograms
mg/kg/min
Milligrams
mg/kg/min
Milliliters
Kilograms
ml/cc
Milligrams
ml/cc
gtts/min
Kilograms
ml/cc
mg
mg/kg/min
gtts/min
Kilograms
Milliliters
ml/cc
gtts/min
Kilograms
Milliliters
gtts/min
mg
mg
mg/kg/min
ml/cc
mg
Milligrams
Milliliters
Milligrams
mg
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Pre/Post Course Math
• Overall well done
• Some problems were found in the
Precourse
– Paramedics did not show their work,
therefore it was hard to determine the
problem.
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•Calculators and
medication tables are
more than welcome, only
if you intend on using
them in your practice.
•You are encouraged to use the
formulas supplied. If you have your own
method and it works for you, do it your
way.
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Where will I apply medical math??
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HOW MUCH TO ADMINISTER
WANT
----------
= AMOUNT TO ADMINISTER
HAVE
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WANT
• Protocols I.e. 0.3mg Epi. 1:1,000 SC
• Verbal Orders by patch phone
• Written Orders on Patient chart
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HAVE
• Concentration of the Drug
– Nitro, Salbutamol, Glucagon, Lidocaine, etc.
• Contents of the IV Bag
• Amount in a given Ampoule or Vial
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Weight vs. Volume
REMEMBER
Weight and Volume
are not the same thing
Weight is the amount of a drug -5.0mg of Ventolin
Volume is the amount of fluid the drug
is dissolved in - 2.5 ml nebule
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Have = Concentration
Weight
Concentration =
Volume
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Concentration
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mol/L
G/L
G% or %
mg%
Eq/L
m/Eq/L
mg/ml
mcg/ml
•
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moles per litre
grams per litre
grams/100mL
mg per 100 mL
equivalents/ L
milliequivalents per litre
milligrams/millilitre
micrograms/millilitre
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Concentration
Reduce the Volume to 1 ml
which will make the math easier
mg/ml
100 mg in 20 ml = 5 mg/ml
250 mg in 100 ml = 2.5 mg/ml
60 mg in 15 ml = 4 mg/ml
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Injection - ml
Amount Ordered
= Amount to Administer (ml)
Concentration
0.3 mg
50 mg
5 mg/ml
0.3 mg
5mg/2ml
= 10 ml
= 0.12 ml
= 0.3 ml
1 mg/ml
1.25 mg = 0.625 ml
5 mg/2.5ml
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Infusion - ml/min
Amount Ordered = Amount to Administer
(ml/min)
Concentration
20 mcg/min
200 mcg/ml
1 mcg/min
=
10 mcg/ml
15 mg/min
5 mg/ml
= 0.1 ml/min
3 mg/min
= 3 ml/min
10 mg/ml
= 0.3 ml/min
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Infusion gtt/min
Amount Ordered
Concentration
20 mcg/min
X drip factor = Amount to Administer
(gtt/min)
= 0.1ml/min x 60 gtt/ml = 6 gtt/min
200 mcg/ml
15 mg/min
5 mg/ml
3 mg/min
= 180gtt/min
10 mg/ml
= 18gtt/min
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Weight Based Infusion
Amount Ordered x Weight =Amount to administer
Concentration Factor
(ml/min)
10 mcg/kg/min
x 80 kg = 1ml / min
800 mcg/ml
If drop/ minute are
required multiply
by drop factor
x 60 gtt/ml
= 60 gtt/min
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IV concepts
Two concepts:
1. Flow rate:
the rate at which IV fluid is given.
2. The drip factor:
the number of drops per mL determined by the
administration set.
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Infusion = ml/hr
Calculate the drip rate when the
Physician Orders - 400 ml/hr
using a 10 gtts/ml drip set
400 ml/hr x 10 gtts/ml
4000 gtts/hr ÷ 60 min/hr
66.67 gtts/min ÷ 60 sec/min
= 1 gtt/sec
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REMEMBER
WANT
---------HAVE
=
AMOUNT TO GIVE
• The WANT may get more complicated involving
time or patient weight.
• The HAVE is in your possession and may change
in concentration depending on service supplies.
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Questions?
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