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 mathematical model did Mettetal, ''et. al.'' use for Hog1 activation in response to a hyperosmotic shock? Express the model in the following forms | + | <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 |
+ | <ul> | ||
+ | <li>transfer function (TF)</li> | ||
+ | <li>poles and zeros (ZPK)</li> | ||
+ | <li>single differential equation (SDE)</li> | ||
+ | <li>coupled differential equations (CDE)</li> | ||
+ | </ul>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 mathematical model did Mettetal, et. al. use to account for nonlinearities in the system?</li> | <li>What mathematical model did Mettetal, et. al. use to account for nonlinearities in the system?</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>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> |
Revision as of 20:34, 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. Answer the following questions about The Frequency Dependence of Osmo-Adaptation in S. cerevisiae:
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