Question

Difficulty: Very hardPharmacological and Parenteral Therapies

A nurse in the cardiovascular intensive care unit is caring for a client with acute decompensated heart failure. The client weighs 209 lbs209\text{ lbs}.

The client is receiving a continuous intravenous infusion of dobutamine. The standard hospital mixture contains 500 mg500\text{ mg} of dobutamine in 250 mL250\text{ mL} of 5%5\% dextrose in water (D5W). The infusion pump is currently running at 17.1 mL/hr17.1\text{ mL/hr}.

The provider's order reads: 'Titrate dobutamine by 1.5 mcg/kg/min1.5\text{ mcg/kg/min} every 15 minutes15\text{ minutes} to achieve a cardiac index ≥2.2 L/min/m2\geq 2.2\text{ L/min/m}^2.'

The latest hemodynamic assessment reveals a cardiac index of 1.8 L/min/m21.8\text{ L/min/m}^2. The nurse prepares to perform the next titration step according to the protocol.

At what value in mL/hr\text{mL/hr} will the nurse program the infusion pump for the new dose? (Round the final answer to the nearest tenth.)

Answer: 21.4 mL/hr

Answer

The new infusion pump rate should be set to 21.4 mL/hr21.4\text{ mL/hr}.
To arrive at the correct value, the nurse must first convert the weight to kilograms (95 kg95\text{ kg}) and determine the solution's concentration (2,000 mcg/mL2,000\text{ mcg/mL}). The low cardiac index dictates an upward titration. The required dose increase (1.5 mcg/kg/min1.5\text{ mcg/kg/min}) is multiplied by weight (95 kg95\text{ kg}) and time (60 minutes60\text{ minutes}) to find the hourly dose increase (8,550 mcg/hr8,550\text{ mcg/hr}). Dividing this by the concentration (2,000 mcg/mL2,000\text{ mcg/mL}) yields the rate increase of 4.275 mL/hr4.275\text{ mL/hr}. Adding this to the current baseline rate of 17.1 mL/hr17.1\text{ mL/hr} equals 21.375 mL/hr21.375\text{ mL/hr}, which correctly rounds to 21.4 mL/hr21.4\text{ mL/hr}.

Step-by-Step Solution

1
Convert the client's weight from pounds to kilograms.
209 lbs÷2.2 lbs/kg=95 kg209\text{ lbs} \div 2.2\text{ lbs/kg} = 95\text{ kg}
The medication dosing protocol is based on metric weight (kilograms).
2
Calculate the exact concentration of the dobutamine infusion in mcg/mL\text{mcg/mL}.
500 mg=500,000 mcg500\text{ mg} = 500,000\text{ mcg}. Then, 500,000 mcg÷250 mL=2,000 mcg/mL500,000\text{ mcg} \div 250\text{ mL} = 2,000\text{ mcg/mL}.
Titration orders are in micrograms (mcg), so the medication concentration must match this unit to calculate volume.
3
Determine the necessary clinical intervention based on the current cardiac index.
The current cardiac index is 1.8 L/min/m21.8\text{ L/min/m}^2, which is less than the goal of 2.2 L/min/m22.2\text{ L/min/m}^2. The dose must be increased by the ordered 1.5 mcg/kg/min1.5\text{ mcg/kg/min}.
Nurses must independently assess parameters to decide the direction of the titration before performing the math.
4
Calculate the total dose increase in mcg/min\text{mcg/min} for this specific client.
1.5 mcg/kg/min×95 kg=142.5 mcg/min1.5\text{ mcg/kg/min} \times 95\text{ kg} = 142.5\text{ mcg/min}.
This isolates the exact amount of extra drug the client needs every minute.
5
Convert the per-minute dose increase to a per-hour dose increase.
142.5 mcg/min×60 minutes/hour=8,550 mcg/hr142.5\text{ mcg/min} \times 60\text{ minutes/hour} = 8,550\text{ mcg/hr}.
IV infusion pumps are programmed in hourly rates (mL/hr\text{mL/hr}), so the dose must reflect an hourly timeframe.
6
Calculate the volumetric rate increase (mL/hr\text{mL/hr}) required to deliver the extra 8,550 mcg/hr8,550\text{ mcg/hr}.
8,550 mcg/hr÷2,000 mcg/mL=4.275 mL/hr8,550\text{ mcg/hr} \div 2,000\text{ mcg/mL} = 4.275\text{ mL/hr}.
This translates the needed extra medication into the actual fluid volume the pump will deliver.
7
Add the rate increase to the current running rate and apply rounding rules.
17.1 mL/hr+4.275 mL/hr=21.375 mL/hr17.1\text{ mL/hr} + 4.275\text{ mL/hr} = 21.375\text{ mL/hr}. Rounded to the nearest tenth, this is 21.4 mL/hr21.4\text{ mL/hr}.
The final step combines the current baseline therapy with the newly calculated upward adjustment.

Key Concept

Weight-Based Continuous Infusion Titration and Hemodynamic Interpretation
Estimated Time:3m 0s
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