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Advanced Calculations. Nursing 201 Ms. Frasier Summer 2014. Dimensional Analysis Simple technique with a fancy name Allows manipulation of units Also referred as factor label method or the unit factor method Less errors
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Advanced Calculations Nursing 201 Ms. Frasier Summer 2014
Dimensional Analysis • Simple technique with a fancy name • Allows manipulation of units • Also referred as factor label method or the unit factor method • Less errors • The advantage of dimensional analysis is only one equation is needed
Review • ml/hr • gtt/min
Infusion of IV fluids with an IV pump • Solve for mL/h • The formula: x mL/h = Total volume in milliliters • Total time in hours • On the left side of the equation, place what you are solving for. X • On the right side of the equation, place the available information related to the measurement that was placed on the left side of the equation. 1000ml • 8h • Answer 125mL/hr
Drops per minute (gtt/min) • Knowing the drop factor is the first step • The drop factor always appears on the IV package • Macrodrops are large and deliver 10, 15, 20 gtt/mL • Microdrops are small and deliver 60 gtt/mL • Drop factor = gtt/mL • Example: order: D5W to infuse at 100ml/hr. drop factor 10gtt/mL. at what rate in gtt/min should the IV be regulated? • You are calculating for gtt/min, so write gtt/min to the left of the equation, (that is what you are looking for) • Extract the information that contains gtt/min from the problem; drop factor is 10gtt/mL. add this factor into the equation. X gtt = 10gtt • min mL
The next fraction is written so that the denominator matches the previous fraction (what you are looking for). Looking back at problem we are to infuse 100mL in 1 hr. enter the 1hr as 60min since we are looking for gtt/min. • Order: An IV medication of 50mL NS in 20 min. drop factor (60gtt/mL). At what rate in gtt/min should the IV be regulated? • You are calculating gtt/min, so write gtt/min to the left of the equation, followed by equals sign, label x, since that is what you are looking for: extract the information that contains gtt from the problem. Drop factor 60gtts/mL. numerators match up • ₌
Practice Problems Calculate the flow rate in mL/hr using dimensional analysis 1,800 mL of D5W in 24 hr by infusion pump _____________ 2,000 mL D5W in 24 hr by infusion pump _______________ 500 mL RL in 12 hr by infusion pump __________________ 100 mL 0.45% NS in 45 min by infusion pump ___________ 1,500 mL D5LR in 24 hr by infusion pump _______________ 750mL D5W in 16 hr by infusion pump ________________ 30 mL of Ancef in 0.9% NS in 20min by infusion pump _____
Answers 133mL/hr 63mL/hr
Practice Problems • Calculate the flow rate in gtt / min using dimensional analysis • Administer D5LR at 75mL/hr. the drop factor is 10gtt/mL • Administer D5NS at 30mL/hr. the drop factor is a microdrop • Administer RL at 125mL/hr. the drop factor is 15gtt/mL • Administer 1000 mL D5NS in 6 hrs. the drop factor is 15gtt/mL • An IV medication in 60mL of NS is to be given in 45 min. the drop factor is a microdrop • 1000 mL of LR is to infuse in 16 hr. the drop factor is 15gtt/mL • Infuse 150mL of D5W in 2hr. The drop factor is 20gtt/mL
Answers • = step 1: calculate mL/hr
Critical Care Calculations • Critically ill clients receive medications that are potent and require close monitoring • Titrated medications are added to a specific volume of fluid and rate adjusted to desired effect; when a solution is titrated, the lowest dosage of the med is set first and ↑ or ↓ as necessary • The drugs that are titrated are potent antiarrhythmics, vasopressor, and vasodilator medications • Infusion pumps are used for titration
Critical Care Calculations • Volume • mL / hr • Dosage • mg / min • mg / hr • mcg / min • mcg / hr • mcg / kg / min • mg / kg / min • mcg / kg / hr • mg / kg / hr
mg / min • mg / hr • A client is receiving Pronestyl 60mL/hr. the solution available is pronestyl 2g in 500mL D5W . Calculate the mg/hr and the mg/min the client will receive. • x • 4 mg/min
mcg / min • mcg / hr • Order: a patient with heart failure has nitroglycerin infusing at 3mL/h. the nitroglycerin concentration is 100mg in 500 mL of D5W. At what rate, in micrograms per minute, is the nitroglycerin infusing?
mcg/kg/min • mcg/kg/hr • Order: 400 mg of dopamine is added to 250ml. Of 0.9% NS. The order is to begin the infusion at 2mcg/kg/min. the patient’s weight is 150lb. The nurse needs to calculate the rate, in milliliters per hours, at which to set the IV pump. • Convert client’s weight to kilograms: • 150lb 2.2 • 2. Now that you have the client’s weight in kg, determine the dosage per min. • 68.2kg x 2mcg/kg/min 136.4mcg/min • x
Practice Problems A client weighing 50kg is to receive a Dobutrex solution of 250mg in 500ml D5W ordered to titrate between 2.5 and 5 mcg/kg/min. Determine the flow rate setting for a volumetric pump. If the IV flow rate is being maintained at 25mL/hr after several titrations, what is the dosage infusing per minute? 2. Order: Epinephrine at 30mL/hr. The solution available is 2mg of epinephrine in 250mL D5W. Calculate the following: mg/hr mcg/hr mcg/min
3. Aminophylline 0.25g is added to 500mL D5W to infuse at 20mL/hr. Calculate the following: mg/hr 4. Order: 3mcg/kg/min of Nipride: Available: 50mg of Nipride in 250mL D5W . Client’s weight is 60 kg. Calculate the flow rate in mL/hr that will deliver this dosage. 5. A nitroglycerin drip is infusing at 3mL/hr. The solution available is 50mg of nitroglycerin in 250mL D5W. Calculate the following: mcg/hr mcg/min
Heparin IV • HIGH ALERT MEDICATION • Heparin is a potent anticoagulant that prevents clot formation and blood coagulation • Expressed in units (no “U” abbreviation) • The therapeutic range for heparin is determined individually by monitoring the client’s blood clotting value (APTT – activated partial thromboplastin time) • Heparin is considered to be more therapeutic when based on weight in kg. • May be given SQ or IV. Never IM. • Should always be on a pump…will be ordered either ml/hr or units/hr • Remember heparin comes in many different strengths. Make sure you have the correct one.
Examples • mL/hr – units/hr • Order: 15 units/hour. On hand you have 40units in 250ml of NS. How many ml/hr will you administer? • ml/hr • Order: D5W 1000ml containing 20,000 units of heparin to infuse at 30mL/hr. calculate the dosage of heparin the client is to receive per hour. • 600 units per hour
Calculating heparin dosages based on weight A client weighs 165 lb. Order: heparin 25,000 units in 1000ml 0.9% sodium chloride. Bolus with heparin at 80units/kg, then initiate drip at 18units/kg/hr. calculate the initial bolus dosage, then calculate the infusion rate at ml/hr. x bolus 54ml/hr Or
A client weighs 176 lb. Heparin infusion 20,000 units in 1000mL 0.9% sodium chloride. Order: bolus with heparin sodium at 80units/kg, then initiate drip at 18units/kg/hr. Calculate the following: a. ___________ bolus dosage b. ___________ infusion rate (initial) c. ___________ mL/hr Answers: 6400 units, 1440units/hr, 72mL/hr 46. pg.519 Order: Heparin drip at 18units/kg. Available: 25,000units of heparin in 1,000mL of D5W. The client weighs 80 kg. At what rate will you set the infusion pump? First determine units/kg the client should receive. 18x80 = 1440units then mL/hr Answer: 58 mL/hr
47. Pg 519 A client weighs 200 lb. Order: Administer a bolus of heparin sodium IV at 80units/kg. how many units will you administer: 48. pg. 520 A client weight 210 lb. Order: Heparin IV infusion: heparin sodium 25,000 units in 1,000 mL of 0.9% NS. Order is give a bolus with heparin sodium 80units/kg, then initiate drip at 18units/kg/hr. Calculate the following: Heparin bolus dosage ____________________ Infusion rate for the IV (initial) _____________ At what rate will you set the infusion pump? ___________
Practice! Practice! Practice! • Review Heparin Weight Based Protocol