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B511F09h1

# B511F09h1 - DUE SEPT 10 AT 9:30 AM BME-511 Homework Set#1...

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BME-511 Homework Set #1 Fall 2009 1. Assume that the block diagram of a temperature-regulating space-suit to be worn by an astronaut for a mission to Mars is as shown in Figure 1. The variable "X" represents the external temperature while "Y" represents the temperature inside the space-suit. "G c " is the steady state gain of the heating/cooling device (controller) built into the space-suit, while "G p " represents the steady state gain associated with the thermal characteristics of the astronaut. "H" is the gain with which the internal temperature is fed back to the controller. The operating internal temperature (Y) is allowed to range from 60 o F to 100 o F. Assume that G c = 2, G p = 1, and H = 7. (a) What range of external temperatures can this space-suit be used for, if it is deployed in open-loop mode? (b) What is the permissible range of external temperatures when the space-suit is deployed in closed-loop mode? (c) Based on the results obtained in (a) and (b), what can you conclude about the effect of negative feedback in this device. 2. The cardiac output curve of a heart that has been transplanted into a patient is given in tabular form as follows: Right Atrial Pressure 0 1 2 3 4 5 6 7 8 9 10 11 12 13 (mmHg) --------------------------------------------------------------------------------------------------------------------- Cardiac Output 0 0.3 1.0 2.5 4.8 7.0 9.0 10.5 11.0 11.3 11.5 11.6 11.6 11.6 (L min -1 ) Suppose the venous return characteristics of the patient's systemic circulation can be expressed in the form of the following equations: Q R = 14 P ra 0 = 14 - 2 P ra 0 < P ra < 7 = 0 P ra 7 (a) Deduce the patient's steady-state right atrial pressure (P ra

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