Module 5: Introduction to Signals and Systems

Lectures & Content

Folder description

Please click the folder link above to access the Module 5 instructional content. Module 5 contains 12 video lectures that present the following topics:

Differential Equations and Initial Conditions (5A)
Phase Portraits (5B)
Impulse Response (Example 1)
Blood Pressure Control as Feedback Loop (5C)
Frequency Response (Example 2)
Guyton Circulation Model in MATLAB (5D)
Stability of Linear Dynamical Systems (5E)
General Stability Terms (Example 3)
Euler's Method (Example 4)
Two Compartment Model for Drug Delivery (5F)
Models for Salt Sensitivity for Blood Pressure Control (5G)
Isoclines Integral Curve (Example 5)

Technical

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Module at a Glance ObjectivesHow to Complete This Module:

Cell description

Objectives

By the end of this module, you will be able to:

Explain how initial conditions impact on a differential equations solution.
Apply the ideas of phase space portraits for graphical solutions of dynamical systems.
Define blood pressure and its control.
Describe the Guyton model for circulation.
Apply the general concept of stability to solutions of dynamical systems.
Describe how to use compartment models for simulations of drug delivery and blood circulation.

How to Complete This Module:

View Lectures 5A-5G and Examples 1-5.
Complete the assigned reading to supplement the material presented in the lectures.
Participate in the module discussion.
Complete and submit the module assignment.
Complete the required entry in your personal learning journal.

Technical

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Readings

Cell description

This week's reading assignment includes the following:

Text Books

Astrom, J. K. & Murray, R.M. (2008).Feedback systems: An introduction for scientists and engineers. Princeton, NJ: Princeton University Press.Available at: http://www.cds.caltech.edu/~murray/amwiki/index.php/Main_Page
- Chapter 4
Chaparro, L. (2014). Signals and systems using MATLAB (2nd ed.). Academic Press.
- Review: Chapters 0-2

EReserves

McLoone, V. (Jun 2014). Modelling of long and short term blood pressure control systems. (Doctoral Thesis) NUI Maynooth. (Referenced in Lectures 5C, 5D, 5G) { http://eprints.maynoothuniversity.ie/5611/1/Thesis_V_McLoone-Final_Version.pdf }

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Module 5 Discussion Participation GuidelinesQuestion:

Cell description

Discussion forum rubric: 625.260 Discusssion Rubric

Participation Guidelines

Participation in class discussions are important in this course and to your final grade. Be energetic in your participation, posting discussion responses assigned in each module, interacting with other students and your instructor, in your responses and postings.

Check the rubric above to ensure you understand the expectations and how you will be assessed on these important assignments.

There is one discussion thread in this module. Submit your posts by clicking on the "Module 5 Discussion" link above and creating a new thread. Please contribute to the class discussion with your discussion about:

Question:

Thread 5.1

Would you have awarded Violeta her doctorate or not and why or why not?
Have you done any work with stability analysis and/or with compartmental models?
Have you heard of or worked with any programs beyond MATLAB that you’ve used as black-box, gray-box or white-box models at any level in a molecular/cell/tissue model?

For responses to classmates' posts, please realize that just posting ‘I agree’ or ‘I disagree’ is not sufficient.

Don’t be afraid to share your insights and discoveries. This is how we will build a community around the course.

You are asked not only to create an original post, but also to thoughtfully respond to at least two of your peers for full credit. Your initial posts are due by midnight on Day 4 of this module. Responses to your peers are due by midnight on Day 7 of this module.

Required Activity: 1 Original Post / 2 Responses Due by: Original Post 11:59PM Day 4, Responses 11:59PM Day 7

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Be energetic in your participation, posting discussion responses assigned in each module, interacting with other students and your instructor, in your responses and postings.</p> \n <p style=\"margin-left: 30px;\">Check the rubric above to ensure you understand the expectations and how you will be assessed on these important assignments.&nbsp;</p> \n <p style=\"margin-left: 30px;\">There is one discussion thread in this module. Submit your posts by clicking on the \"Module 5 Discussion\" link above and creating a new thread. 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This is how we will build a community around the course.</p> \n <p style=\"margin-left: 30px;\">You are asked not only to create an original post, but also to thoughtfully respond to at least two of your peers for full credit. Your initial posts are due by midnight on Day 4 of this module. Responses to your peers are due by midnight on Day 7 of this module.</p> \n <p><span style=\"text-decoration: underline;\">Required Activity</span>: 1 Original Post / 2 Responses<br> <span style=\"text-decoration: underline;\">Due by</span>: Original Post 11:59PM Day 4, Responses 11:59PM Day 7</p> \n</div>\n  </div>\n\n <div id=\"_5740755_1previewModule\" class=\"moduleSample\">\n </div>\n",
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Be energetic in your participation, posting discussion responses assigned in each module, interacting with other students and your instructor, in your responses and postings.</p> \n <p style=\"margin-left: 30px;\">Check the rubric above to ensure you understand the expectations and how you will be assessed on these important assignments.&nbsp;</p> \n <p style=\"margin-left: 30px;\">There is one discussion thread in this module. Submit your posts by clicking on the \"Module 5 Discussion\" link above and creating a new thread. 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This is how we will build a community around the course.</p> \n <p style=\"margin-left: 30px;\">You are asked not only to create an original post, but also to thoughtfully respond to at least two of your peers for full credit. Your initial posts are due by midnight on Day 4 of this module. Responses to your peers are due by midnight on Day 7 of this module.</p> \n <p><span style=\"text-decoration: underline;\">Required Activity</span>: 1 Original Post / 2 Responses<br> <span style=\"text-decoration: underline;\">Due by</span>: Original Post 11:59PM Day 4, Responses 11:59PM Day 7</p> \n</div>\n  </div>\n\n <div id=\"_5740755_1previewModule\" class=\"moduleSample\">\n </div>\n",
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Module 5 Assignment

Cell description

In this module, you will complete the problem sets listed below as an assignment:

Chaparro (2.6, 2.10, 2.14 1st edition) (2.22, 2.25, 2.26 in 2nd edition)
Astrom and Murray: problem 4.2, 4.9 (2nd edition)

Follow the general guidelines below to complete and submit the assignment.

Problems should be done neatly on paper and scanned or completed electronically using markup on a tablet device.
At the top of the page, include your name, module number, and page number (page 1 of 2, etc.)
Submit your answers in PDF (.pdf) format by uploading to Blackboard using the "Module 5 Assignment" link above.

Required Activity: Submit answers to the problem sets. Due by: 11:59 PM Day 7

Technical

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Module 5 Personal Learning Journal

Cell description

In your learning journal entries for this week comment about:

Whether the models for blood pressure control and/or salt have any impact on your daily life and/or any family members or friends?
How does the work on stability analysis and/or on initial conditions for differential equations impact on your project ideas?

Click on the “Module 5 Personal Learning Journal” above to access your journal and create your entry.

Required Activity: Create a reflective personal journal entry post in response to the prompts given. Due by: 11:59 PM Day 7

Technical

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