Advanced Intravenous Calculations



Advanced Intravenous Calculations






Essential Prior Knowledge




• Mastery of Chapters 19


• Review of Chapter 9, Basic Intravenous Calculations, highly recommended








Introduction


Chapter 9 focused on prepared IV solutions that required simple flow rate calculations. This chapter emphasizes more complex dose-based flow rate calculations for a variety of medicated IV solutions for peripheral access sites. The principles of the equation setup are the same as in earlier chapters.


Although D5W, NS, and 5% L/R solutions are vehicles for many IV medications, certain medications require a specific solution. The trend for safety purposes is to have pharmacy-prepared IV mixtures.




Intravenous medications ordered for the treatment of at-risk patients, such as the acutely ill and frail young and elderly, may require calculation and adjustment of dosage (titration), depending on the patient’s response to the medication. Many of the math skills mastered in earlier chapters will be reviewed and employed: analysis of the problem, basic multiplication and division, conversion among metric units of measurement, calculation of weight in kilograms, DA-style equations setups, and flow rate calculations.




ESSENTIAL Vocabulary




imageFilters Used in some IV medication lines to prevent contaminants, particles, and clots from reaching patient circulation. Liquids can pass through the filter. Specific guidelines for use and nonuse and filter size must be checked with agency and manufacturer guidelines prior to administration of medications. The smaller the size filter, the finer the filter. Blood administration sets are supplied with a clot filter, and other filters may be added for specific purposes, depending on the age of the blood product. Filters are not routinely used for IV infusions.


Parenteral Nutrition (PN) (AKA, “Hyperalimentation,” “Hyperal”) Parenteral nutrition (PN) refers to an IV caloric infusion of nutrients, vitamins, minerals, and electrolytes through a central (CPN) or peripheral (PPN) venous line. Contents and amounts are prescribed on an individual basis.


Infusion Access Sites: Central and Peripheral Venous Central venous sites are large blood volume sites (such as the superior vena cava and right atrium) that can be accessed by catheter from large veins (such as the jugular) or surgically accessed chest veins. They can also be accessed from peripherally inserted central catheters (PICC), which are less invasive and threaded to the superior vena cava–right atrial junction from a peripheral vein. The central venous sites provide rapid dilution of concentrated solutions such as TPN and medications and are more suitable for longer term therapy and more concentrated solutions than smaller peripheral veins.


IV Flush (SAS) (SASH) Technique that maintains patency of IV sites used before and after infusion of medications and for periodic maintenance. Saline solution or less frequently, low-dose heparin solution is injected through infusion ports in accordance with agency protocols for milliliter amounts for each type of flush solution and the equipment being flushed. The longer the line, the more solution must be used. Also used to clear lines of solutions before administering a potentially incompatible solution. SAS means “saline, administer drug, saline flush.” SASH means “saline, administer drug, saline, heparin flush.”


Kilocalorie (Kcal) Metric measurement, unit of energy, necessary to raise the temperature of 1 kg of water by 1° C. Commonly described as “calorie,” even though there are 1000 calories in a kilocalorie, as the metric prefix indicates. The “Calories” on food labels are actually kilocalories.


Peak and Trough Levels Serum levels of drugs derived from blood samples drawn 30 minutes before the next dose is due (trough) and 30 minutes after administration (peak) for IV drugs and 1-2 hours after oral drugs (peak). Guides the prescriber for effective dosing and avoidance of toxicity or damage to renal function. Nurse must label specimen with peak or trough, exact time drawn, and time and dose of last medication infusion. Certain drugs, such as aminophylline, the IV bronchodilator used for severe asthma, have widely varying rates of individual absorption and necessitate peak and trough measurements.


Titrated Medication Flexible drug order for dose adjustments to achieve desired therapeutic result, such as a specific urinary output, systolic or diastolic blood pressure, or glucose level (e.g., “dobutamine 2-8 mg per kg per min IV infusion. Increase or lower by 1-2 mg every 30 minutes to achieve/maintain systolic pressure between 90 and 110 degrees). Administered and adjusted by experienced registered nurses.


Vascular Implanted Devices Vascular Access Devices (VAD) Surgically implanted subcutaneous self-access sealing injection ports that can tolerate repeated injections with a special Huber needle. The port is attached to a catheter threaded to the target site, most commonly the subclavian vein. Saves the patient the discomfort of multiple injections.



RAPID PRACTICE 10-1   Vocabulary Review


Estimated completion time: 10 minutes Answers on page 546


Directions: Read the introduction and the essential vocabulary. Identify the terms.




1. Intravenous infusion access sites are generally divided into which two major areas: _________



2. The term for IV nutritional infusions is _________



3. Which of the following statements is true about infusion line filters? _________



4. Flushes are used before and after administration of many medicated IV solutions for the following purpose: _________



5. An example of a titrated IV drug order would be _________





Equation Setups for Advanced Intravenous Calculations


It will be helpful to practice a few exercises in preparation for setting up and understanding medicated IV calculations.




Conversion Factors That May Be Needed for Intravenous Infusion Calculations*


One or more conversion factors may be required to complete IV infusion calculations. Refer back to these as you work through the chapter.






























Conversion Factors Purpose
60 minutes = 1 hour Often needed to obtain milliliters or medication dose per hour, this formula also may be needed to verify how much drug per minute or volume per minute is being infused. For example:
Ordered: Drug Y, 1 mg per min. Question: How many milligrams or milliliters per hour will be infused?
1000 mg = 1 g Needed for conversion when the drug units supplied do not match the drug
1000 mcg = 1 mg units ordered. For example:
Ordered: Drug Y, 2 mcg per min. Supplied: Drug Y, 500 mg.
1000 mL = 1 L Needed to convert liters to milliliters for IV flow rate calculations. IV flow rates are delivered in milliliters. Ordered: 1 L q8h.1 L = 1000 mL.1000 mL ÷ 8 = 125 mL per hr.
2.2 lb = 1 kg Occasionally needed to calculate the dose ordered when the dose is based on weight and the weight in pounds is known and that in kilograms is not. For example:
Ordered: Drug Y, 2 mg per kg per min. Weight: 50 lb.


image



Q: Ask Yourself



A: My Answer



Calculating Medicated Intravenous Flow Rates That Require One Conversion Factor


Intravenous flow rates are usually calculated in milliliters per hour (mL per hr) but may be ordered in units of a drug to be infused per hour or per minute. Following are some examples of how the amount of a drug to be given per a unit of time may be expressed in medication orders:
















2 mg per min 5 mcg per min 3 units per min
4 mg per hr 3 mcg per hr 10 mEq per hr
0.3 mg per kg per min 1 mcg per kg per min 05 milliUnits per min


Orders for powerful drugs may be written for a drug dose per minute or per hour. Following are some examples of drug concentrations supplied in IV solutions:












250 mg drug per 500 mL D5W 500 mg drug per 250 mL NS 100 mg drug per 250 mL D5W
250 mg drug per 1000 mL NS 100 mg drug per 50 mL NS 1 g drug per 1000 mL D5W





Q: Ask Yourself



A: My Answer







Calculating Intravenous Flow Rates That Require Two Conversion Factors


A nurse who knows how to calculate flow rates no matter how they are ordered provides critical patient safety. The nurse is liable for any medication administration errors regardless of whether they may be computer, prescriber, or pharmacy errors.





*Many IV pumps can deliver tenths of a mL such as 3.8 mL per hr (rounded from 3.75). The equipment determines the nearest measurable flow rate.



RAPID PRACTICE 10-4   Calculating IV Flow Rates That Require Two Conversion Factors


Estimated completion time: 20-25 minutes Answers on page 548


Directions: Analyze the preceding example and worked-out problem 1. Determine how many conversion factors are needed. Calculate using needed conversion factors. Conversion factors: 60 minutes = 1 hour, 1000 mcg = 1 mg, and 1000 mg = 1 g. Use a calculator for long division and multiplication.




1. Ordered: Drug Y, IV infusion 200 mcg per min. Available: Drug Y, 250 mg per 1000 mL D5W.



2. Ordered: Drug Y, IV infusion 75 mcg per min. Available: Drug Y, 10 mg per 100 mL NS.*



3. Ordered: Drug Y, IV infusion 5 mg per min. Available: Drug Y, 1 g per 200 mL LRS.



4. Ordered: Drug Y, IV infusion 200 mcg per min. Available: Drug Y, 500 mg per 250 mL D5W.



5. Ordered: Drug Y, IV infusion 1.5 mg per min. Available: Drug Y, 2 g per 200 mL NS.



Q: Ask Yourself



A: My Answer



*NS solution is 0.9% NaCl solution. Refer to Chapter 9. Any concentration other than 0.9% is stated, e.g., 0.45% NaCl (12image NS).



Calculating Flow Rates for Weight-Based Doses


An order for a continuous IV infusion may read: dopamine 2 mcg per kg per min. The solution available may be: dopamine 200 mg per 250 mL D5W. How many ml per hr will be set? The patient weight today is 50 kg.




As stated earlier, the dose ordered must always be entered in the medication equation along with the concentration available and the conversion factors.





Calculating the total dose ordered for weight-based orders: micrograms and milligrams per kilogram


Calculate the total drug ordered using the patient’s body weight in kilograms.







If you were asked how many cups of water you drink during the day, you might respond, “I drink about 1 cup per hour, so I drink 8 cups a day.” The desired units in the answer are cups per day. Hours were only factored in to get the total amount, just as kilograms of body weight are factored in only to get a total amount of milligrams. Hours would be eliminated from the final answer, as are kilograms.



Calculating the flow rate in milliliters per hour (mL per hr) for weight-based orders


The example that follows illustrates a one-step equation for IV weight-based orders.


Mar 1, 2017 | Posted by in NURSING | Comments Off on Advanced Intravenous Calculations

Full access? Get Clinical Tree

Get Clinical Tree app for offline access