Find the damping ratio and the natural frequency of the


Anesthesia induces muscle relaxation (paralysis) and unconsciousness in the patient. Muscle relaxation can be monitored using electromyogram signals from nerves in the hand; unconsciousness can be monitored using the cardiovascular system's mean arterial pressure. The anesthetic drug is a mixture of isoflurane and atracurium. An approximate model relating muscle relaxation to the percent isoflurane in the mixture is

1083_formula.jpg

where P(s) is muscle relaxation measured as a fraction of total paralysis (normalized to unity) and U(s) is the percent mixture of isoflurane (Link- ens, 1992). [Section: 4.6]

a. Find the damping ratio and the natural frequency of the paralysis transient response.

b. Find the maximum possible percent paralysis if a 2% mixture of isoflurane is used.

c. Plot the step response of paralysis if a 1% mixture of isoflurane is used.

d. What percent isoflurane would have to be used for 100% paralysis?

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Electrical Engineering: Find the damping ratio and the natural frequency of the
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