1
Seat No.: Enrolment
GUJARAT TECHNOLOGICAL UNIVERSITY
ME SEMESTER-1 EXAMINATION WINTER 2018
Subject Code: 3713116 Date: 04/01/2019
Subject Name: Biological Control System and Modelling
Time: 02:30 PM To 05:00 sPM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full mark
Q.1

Derive a generalized equation which will help us predict hoe Alveolar pressure Pa will respond dynamically to different pressures using a generalized lung mechanics model for closed loop system.
07

For the equation derived in question 1 equate airway fluid inertance to zero and find out equation. Show how alveolar pressure will respond to impulse and step input. Draw necessary graphs.
07
Q.2

What is the drawback with first order and second order lung mechanics model with proportional feedback? Explain suitable method to overcome this drawback with necessary equation and schematic.
07

How would closed loop dynamics change if feedback signal were proportional to the time derivative of output in first order system?
07
OR

In a Glucose -Insulin regulation model if 25g of glucose is infused for 15 minutes in normal human and type-2 diabetic patient, explain difference in response waveform in terms of time response and frequency response.
07
Q.3

For the following transfer function of pure time delay, determine the open-loop and closed-loop responses for the system shown in Figure 1 when the input is unit step.

Figure 1
07

Compute and plot the frequency responses of the system shown in Figure 1 when the feedback loop is open and the feedback loop is closed. In both cases assume that the time delay T to be 2 second.
07
OR
Q.3

Explain least square estimation method with necessary equations and explain how it is useful to overcome Numerical deconvolution short coming.
07
2

The rate at which energy is expended in walking, as measured by oxygen compensation has been found to take the form: P=0.267V2 +2160,
Where the velocity of walking is given in meters per minute and P is in calories per minute. Determine the value of the walking speed that would minimize the energy expended per unit distance. Also find power consumption rate at this optimal speed.
07
Q.4

Explain Multiple Model Adaptive Control (MMAC) and Model Reference Adaptive Control (MRAC) schemes with neat schematic.
07

Explain single parameter optimization for control of respiratory frequency with equation.
07
OR
Q.4

What is spontaneous variability? Explain different kind of spontaneous variabilities with help of time -series plots and corresponding Fourier spectra.
07

With help of neat schematic and equations explain cardiovascular variability. Discuss its model.
07
Q.5

What are circadian rhythms? explain its effects on human beings.
07

Explain with suitable example difference between parametric and Non-parametric models.
07
OR
Q.5

Explain Sleep Apnea model with necessary diagram and equations.
07

Explain how effective disease treatment can be designed using combination of pathologies and control engineering?
07