Anesthesia induces muscle relaxation (paralysis) in the patient using a mixture of isoflurane and atracurium. An approximate model relating muscle relaxation to the percent isoflurane in the mixture is: P(s) / U(s) = 7.63*10-2 / S2+ 1.15s + 0.28
where P(s) is a percent measure of muscle relaxation and U(s) is the percent mixture of isoflurane.
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