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:
- What is the primary mechanism by which S. cerevisiae recovers from hyperosmotic shock?
- 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, $ \omega_0 $, damping ratio $ \zeta $, and/or damped natural frequency $ \omega_D $.
- What model did Mettetal, et. al. use for
- Plot the frequency response (i.e. make a Bode plot) of the system over a range of $ \omega_0 $ and $ \zeta $ values that includes over damped, critically damped, and under damped.
- Find an expression for the step response and plot it over a range of values of $ \omega_0 $ and $ \zeta $. A hand-drawn plot is fine, but you should probably look into MATLAB's step function.
- Mettetal, et. al. found that that the hyperosmotic shock response of wild-type yeast was (choose one): underdamped, critically damped, or overdamped.
- The response of the mutant (low Pbs) yeast was (choose one): underdamped, critically damped, or overdamped.
- In the plot below, indicate which step response corresponds to the wild-type strain and the mutant strain.
- What are two questions that you have about the paper's methodology?
- Which of the pole zero diagrams below corresponds to the wild-type strain and the mutant strain.
- Which curve in the Bode plots below corresponds to the wild-type strain and the mutant strain.