Difference between revisions of "Spring 2020 Assignment 9"
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<li>What is the primary mechanism by which S. cerevisiae recovers from hyperosmotic shock?</li> | <li>What is the primary mechanism by which S. cerevisiae recovers from hyperosmotic shock?</li> | ||
− | <li>What model did Mettetal, et. al. use for Hog1 activation in response to a hyperosmotic shock?</li> | + | <li>What mathematical model did Mettetal, ''et. al.'' use for Hog1 activation in response to a hyperosmotic shock? Express the model in the following forms: transfer function (TF), poles and zeros (ZPK), single differential equation (SDE), and coupled differential equations (CDE). Express the TF, SDE, and ZPK models in terms of the undamped natural frequency, <math>\omega_0</math>, damping ratio <math>\zeta</math>, and/or damped natural frequency <math>\omega_D</math>.</li> |
+ | <li>What model did Mettetal, et. al. use for </li> | ||
+ | <li>Plot the frequency response (i.e. make a Bode plot) of the system 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>Mettetal, et. al. found that that the hyperosmotic shock response of wild-type yeast was (choose one): underdamped, critically damped, or overdamped.</li> | <li>Mettetal, et. al. found that 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>In the plot below, indicate which step response corresponds to the wild-type strain and the mutant strain.</li> | <li>In the plot below, indicate which step response corresponds to the wild-type strain and the mutant strain.</li> | ||
− | < | + | <li>What are two questions that you have about the paper's methodology?</li> |
− | + | <li>Which of the pole zero diagrams below corresponds to the wild-type strain and the mutant strain.</li> | |
− | + | <li>Which curve in the Bode plots below corresponds to the wild-type strain and the mutant strain.</li> | |
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− | + | <center>[[file:Mettetal yeast model step response.png|300 px]]</center> | |
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Revision as of 20:21, 26 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} $ |
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Magnitude plot | |||||
Phase plot | |||||
Step response | |||||
Pole/zero plot | |||||
Description |
Magnitude Plots
Phase Plots
Step Response Plots
Pole Zero Plots
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.