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> Putnam Math Competition
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Math Colloquium
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Print
Announcement
Irwin Goldberg
St. Mary's University, San Antonio
A Mathematical Model of the Delivery of Anesthetics in a Closed-Circuit System
February 23, 2016
4:00pm PGH 646
Abstract
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An operating-room layout of a closed-circuit anesthetic delivery
system is described. A mathematical model is derived to determine the
uptake and delivery of anesthetic drugs to patents undergoing surgery.
The compartmental model is given in terms of physiological parameters
including blood flow rates, volumes, and solubility partition
coefficients of the different tissue compartments. The pulmonary
effects of dead space and lung shunt are included in the model. The
mathematical model is solved to determine programmed delivery rates
(ml/min) of the anesthetic drug during surgery. These time-dependent
dosage-rate calculations are used to drive a pump to administer
anesthesia to patients during surgery. (These results provide
background dosage curves, and the anesthesiologist must occasionally
adjust the programmed delivery rate to account for the individual
needs of the patient under varying clinical circumstances.)
Quantitative clinical data are given to support the application of the
model. The closed-circuit anesthetic systems with the anesthetic
dosage determined by this model has been successfully used in
thousands of clinical cases.
Pizza will be served.
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