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12) Medical Related Math problems

(A)

Donald is a 50 year old male with a long history of bipolar disorder. He has been hospitalized three times in the last 8 months for manic episodes. He was just admitted to your impatient psychiatric ward because he was trying to get though the security gate at the Southwest Airlines terminal, demanding to catch a flight to the moon. As the polic approached him he started to take of his clothes and urinate on the floor. They could not understand him because he was talking and yelling very fast. His urine toxicology screen is positive for marijuana and his admission labs including liver function tests are normal. He clearly appears manic so you decide to start a mood stabilizer, Depakote in combination with an atypical anti-psychotic, Olanzapine. It’s your first year as a psychiatry resident and you remember that Depakote is prescribed according to a patient’s weight. Donald weighs 90 kg and you want to treat aggressively at 30 mg/kg/day. All daily dosages greater than 250 mg should be given either twice a day or three time a day. You want to keep it as simple for the patient as possible so you decide to give it twice a day, once in the morning and once at bedtime. If you divide the doses equally, what are his morning and bedtime doses?

(B)

A cat has just arrived to the veterinary clinic with low blood pressure. The cat weighs 5 kg, and as the on call Vet you want to use a bag of saline to prepare a dopamine drip for the cat. Based on the cat’s weight you want it to receive 5 ml/hour of drip that has a concentration of 0.3mg/ml. You also want the cat to receive the drip for at least 48 hours so you need to prepare 250 ml of the dopamine drip. How much dopamine do you need to add from a stock concentration of dopamine (200mg/5ml) to a final volume of 250 ml of saline?

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Patrina Schowalter
Patrina SchowalterLv2
28 Sep 2019

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