Difference between revisions of "Spring 2020 Assignment 9"
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<li>Plot the frequency response (i.e. make a Bode plot) of the model over a range of <math>\omega_0</math> and <math>\zeta</math> values that includes over damped, critically damped, and under damped.</li> | <li>Plot the frequency response (i.e. make a Bode plot) of the model over a range of <math>\omega_0</math> and <math>\zeta</math> values that includes over damped, critically damped, and under damped.</li> | ||
<li>Find an expression for the step response and plot it over a range of values of <math>\omega_0</math> and <math>\zeta</math>. A hand-drawn plot is fine, but you should probably look into MATLAB's <tt>step</tt> function.</li> | <li>Find an expression for the step response and plot it over a range of values of <math>\omega_0</math> and <math>\zeta</math>. A hand-drawn plot is fine, but you should probably look into MATLAB's <tt>step</tt> function.</li> | ||
− | <li>Mettetal, et. al. found | + | <li>Mettetal, et. al. found that the hyperosmotic shock response of wild-type yeast was (choose one): underdamped, critically damped, or overdamped.</li> |
<li>The response of the mutant (low Pbs) yeast was (choose one): underdamped, critically damped, or overdamped.</li> | <li>The response of the mutant (low Pbs) yeast was (choose one): underdamped, critically damped, or overdamped.</li> | ||
− | <li>Which of the step responses below corresponds to Mettetal's model for the wild-type strain and the mutant strain (neglecting the nonlinear element) | + | <li>Which of the step responses below corresponds to Mettetal's model for the wild-type strain and the mutant strain (neglecting the nonlinear element)?</li> |
− | <li>Which of the Bode plots below corresponds to Mettetal's model for the wild-type strain and the mutant strain | + | <li>Which of the Bode plots below corresponds to Mettetal's model for the wild-type strain and the mutant strain?</li> |
− | <li>Which of the pole zero diagrams below corresponds to Mettetal's model for the wild-type strain and the mutant strain | + | <li>Which of the pole zero diagrams below corresponds to Mettetal's model for the wild-type strain and the mutant strain?</li> |
<li>What are two questions that you have about the paper's methodology?</li> | <li>What are two questions that you have about the paper's methodology?</li> | ||
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Revision as of 13:24, 27 April 2020
Signals and systems
System function | $ \frac{1}{s+1} $ | $ \frac{s}{s+1} $ | $ \frac{s}{s^2+2s+1} $ | $ \frac{s}{s^2+0.1s+1} $ | $ \frac{1}{s^2+10s+1} $ |
---|---|---|---|---|---|
Magnitude plot | |||||
Phase plot | |||||
Step response | |||||
Pole/zero plot | |||||
Description |
Magnitude Plots
Phase Plots
Step Response Plots
Pole Zero Plots
One way to create x(t) using functions that appear on the transform table is:
- multiply a cosine by a rectangle, and then
- convolve the result with the comb function $ \mathrm{III(}t)=\sum\limits_{n=-∞}^{∞} \delta(t-nT) $.
Use the diagram below to help you find the answer. The left column of shows signals in the time domain, and the right column shows the magnitude of the Fourier transform of each signal. The top right plot is filled in for you, plus a little hint that might help you make an accurate plot.
(The phase of the transforms in this problem is zero at all frequencies, so it is not plotted.)
Feedback systems
The Frequency Dependence of Osmo-Adaptation in Saccharomyces cerevisiae
Read The Frequency Dependence of Osmo-Adaptation in Saccharomyces cerevisiae and the supporting information.. This paper will be the focus of exam 2. We will discuss the paper and the supporting information on Thursday and Friday (4/30 and 5/1). Answer the following questions about The Frequency Dependence of Osmo-Adaptation in S. cerevisiae:
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