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A 42-Year-Old Woman with Known HIV Infection Comes to the Physician

question 176

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A 42-year-old woman with known HIV infection comes to the physician with left-sided facial swelling and pain.  She describes similar episodes over the last 6 months that last several days and then slowly subside.  During these episodes, she has difficulty eating and sleeping on her left side.  She also complains of occasional dry mouth, heartburn, and nocturnal wheezing.  Her CD4 count was 450/µL 2 months ago.
Her temperature is 36.7 C (98 F) , blood pressure is 108/78 mm Hg, pulse is 70/min, and respirations are 16/min.  There is a tender, nonerythematous, spongy swelling in the preauricular area extending to the angle of the mandible.  Cranial nerve examination is unremarkable.
Which of the following is the most likely diagnosis?


Definitions:

Shadow Price

The implied worth or value of a resource that is not priced by the market, often used in cost-benefit analysis or optimization problems.

Nonlinear Optimization Models

Mathematical models where the objective function or any of the constraints are nonlinear, used to find the optimal solution under given nonlinear conditions.

Lagrange Multiplier

A strategy used in optimization problems to find the maximum or minimum of a function subject to constraints.

Projected Revenue

An estimate of the amount of money that a company expects to earn in a future period.

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