Question

case study math questions

Case Studies SECTION 3 Acquired Immunodeficiency syndrome (AIDS) CASE STUDY 4 + and a Jehovah's Witness is admitted to the hospital with nown origin, and wasting syndrome with dehydration. The A patient who is HIV+ and a Jehovah's W anemia, fever of unknown orders from the physician include: • O, at 4 L/min per nasal cannula • IV DSWANS at 150 ml/hr CD4 and CDs T-cell subsc r its erythrocyte sedimentation rate; complete blood count: urine, sputum, and stool cultures, chest x-ray Acyclovir 350 mg IV every 8h Neupogen 300 mcg SQ daily Epogen 100 units/kg SQ three times a week Megace 40 mg PO tid Zidovudine 100 mg PO every 4h Vancomycin 800 mg IV every 6h Respiratory treatments with pentamidine High-calorie, protein-rich diet in six small meals daily Encourage PO fluids to 3 L/day Accurate intake/output Daily Am weight Identify the orders that require calculations. Set up and solve each problem using dimensional analysis. 1. Calculate gtt/min using macrotubing (20 glu/mL). 2. Calculate ml/hr to set the IV pump to inſuse acyclovir 350 mg. Supply: 500-mg vial to be reconstituted with 10 mL sterile water and further diluted in 100 mL D5W to infuse over 1 hr. 3. Calculate how many mL of Neupogen will be given SQ. The vial is labeled 300 mcg/mL. 4. Calculate how many mL of Epogen will be given SQ to the patient weighing 100 lb. The vial is labeled 4000 units/mL. 5. Calculate how many ml/hr to set the IV pump to infuse vancomycin 800 mg, Supply: 1-g vials to be reconstituted with 10 mL NS and further diluted in 100 mL D5W to infuse over 60 min.

Answer 1

2. Acyclovir ordered dose is 350 mg . The supply provides 500mg vial which is reconstituted with 10ml sterile water and further diluted in 100ml D5W .

So, the total volume becomes 110 ml which contains 500mg of acyclovir .

Total time to infuse = 1hour

= Flow rate = Total volume / total time

500mg of acyclovir is present in 110 ml of solution

1mg will be present in 110/500

350g of acyclovir will be present in 110 / 500 × 350

= 77ml / hour

3. The available vial of Neupogen is 300mcg / ml

Means 1 ml of the available suspension has 300mcg of Neupogen

The orderd dose is 300mcg of Neupogen ,so 1ml of the suspension will be given to the patient

4. Weight of the patient is 100lbs = 100×0.45 = 45kg

Ordered dose of Epogen is 100units / kg three times a week

= 100units × 45 = 4500 units

Available vial is labelled as 4000units /ml , means 1ml has 4000units of Epogen .

Using unitary methods :-

4000 units of Epogen is present in 1ml

1unit of Epogen will be present in 1/4000ml

Then 4500 of Epogen will be present in 1/4000× 4500

= 1.12ml will have 4500units of Epogen

5. Ordered dose of vancomycin is 800mg

Available supply of vancomycin is 1gm vial to be reconstituted with 10 ml of NS and further diluted in 100ml D5W .

Total time to infuse - 60mins

Flow rate = total volume / total time