Fall 2017 EBME431/PHYS431
Posting
IN-CLASS EXERCISE SOLUTIONS
Chs 1 and 2 Ch 3 Ch 4 Ch 5 Ch 6 Ch 7 Ch 8 Ch 9 Ch 10 Ch 11 Ch 12 Ch 13 Ch 27 Ch 14 Ch 15
Chs 16,17,20 Ch 18 ignore second page Ch 19
HOMEWORK SOLUTIONS 1.1,1.2, 2.2, 2.2cont, 2.4, 2.6, 3.3, 3.4, 3.6, 4.1, 4.5, 4.6,
5.5, 5.6, 5.7, 6.1, 6.3, 6.5, 7.2 (ignore other soutions),, 7.4, 7.9, 8.3, 8.6, 8.6cont 8.9old/8.10new
9.1old/9.2new, 9.1old/9.2new cont., 9.4, 9.5, 10.3, 10.4, 10.5, 10.7
11.3, 11.10, 11.12, 12.1, 12.7old/12.5new, 12.8old/12.7new, 12.8old/12.7new cont.
13.6, 13.7, 13.10, 27.2, 27.8, 27.10, 27.10 contin. 14.3, 14.4,
15.3, 15.4, 15.4 cont. (note change in (d)), 15.5, 15.7old (see remark in video), 15.10old/15.9new, 15.11old/15.10new
16.1 16.2 17.1,17.6new/17.3old 20.1 20.2
HOMEWORK HELP
Chs 1 and 2 Ch3 Probs 3,4a , Ch3 Probs 4b,c, 6 , Ch4 Probs 1, 5 , 6 Ch5 Probs 5, 6start , 6cont, 7start 7cont
Ch6 Probs 1, 3, 5 Ch7 Prob 2,4,9 Ch8 Probs 3,6start , Prob 6cont, Prob 9old/10new
9.1old/9.2new, 9.4, 9.5 10.3, 10.4, 10.5 and 10.7 11.3, 11.10, 11.12 12.1, 12.7old/12.5new, 12.8old//12.7new
13.6, 13.7, 13.10 27.2, 27.8, 27.10 27.10 cont. 14.3,14.4
15.3 15.4 (note change in (d)) 15.5 15.7old (see remark in video), 15.10old/15.9new 15.11old/15.10new
16.1 16.2 17.1 and 17.6new/17.3old 20.1 20.2 18.2 18.11new/18.8old 1822new/18.19old 19.3 19.8 19.19
OPTIONAL HOMEWORK HELP: VIDEOS
Problems 2-2 and 2-4 and 2-6 Problems 3-3 and 3-4 and 3-6 Problems 4-1 and 4-5 and 4-6
No video help for Chapters 5 and 6 - come see us if need extra help beyond the written help
Problems 7-2 and 7-4 and 7-9 Problems 8-3 and 8-6 and 8-9old/8-10new
9.1old/9.2new, 9.4, 9.5 10.3, 10.4, 10.5, 10.7, 11.3, 11.10, 11.12, 12.1, 12.7old/12.5new, 12.8old/12.7new
Chs 13 and 27 homework Ch 15 help (note changes in HW going back and forth between old and new editions!
- no videos for Chs 14, 16-26
PREVIEW VIDEOS AND THEIR NOTES FOR EACH CHAPTER
First, here are Danielle's notes you can use to follow along::
Ch 1 Ch 2 Ch 3 Ch 4 Ch 5 Ch 6 Ch 7 Ch 8 Ch 9 Ch 10 Ch 11 Ch 12 Ch 13 Ch 27 Ch 14 Ch 15
Ch 16 Ch 17 Ch 20 Ch 18 Ch 19 Ch 22 Ch 23 Ch 24
And here ara her videos corresponding to those notes:
Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Chapter 6 Chapter 7 Chapter 8 Chapter 9 Chapter 10
Chapter 11 Chapter 12 Chapter 13 Chapter 27 Chapter 14 Chapter 15 Chapter 16 Chapter 17 Chapter 20
Chapter 18 Chapter 19 No prevideo for Chapter 21 Chapters 22, 23, 24
Syllabus
PHYSICS OF MAGNETIC RESONANCE IMAGING
Description of physical principles underlying MRI (spin behavior, nature of magnetization).
MRI from zero to four dimensions. Introduction of conventional, fast, and chemical-shift imaging techniques.
(Spin echo, gradient echo, FLASH, EPI, and variable flip-angle methods.)
Basic signal processing techniques (projection reconstruction, fourier transforms, discrete FT, and sampling theorems).
The physics begins with the introduction and derivations pertaining to the Bloch equations, T1 and T2 relaxation times,
rf penetration, and diffusion. Introduction of flow imaging, MR angiography, and brain/functional imaging.
Sequence and coil design; parallel imaging methods. Latest developments (e.g., MR fingerprinting, diffusion tensor and susceptibility weighted imaging) for optimal image contrast, speed, and parameter measurement in data acquisition.
Grading
There is a maximum number of 100 points available. Points are derived from the following set of activities.
Activity Description | Percentage of Grade |
Homework | 20 |
In-class Problems | 10 |
In-class Presentation on current research article. Research articles will be provided for the presentations. | 5 |
Mid-Term exam (open book) | 30 |
Final Exam (open book) | 35 |
Staff
Who | Contact Information |
Robert W. Brown (instructor) | rwb@case.edu |
Michael R. Thompson (guest lecturer) | mrt@case.edu |
Danielle Kara (assistant instructor) | dck21@case.edu |
Kun Yang (TA) | kxy155 @case.edu |
The instructor, Robert Brown, will be available most all day every weekday and Saturday afternoon in 109 Rockefeller Bldg. (ground floor, across from the pop machine). Feel free to send him an email to firm up an appointment. The assistant lecturer, Danielle Kara, is happy to field questions, too, especially about her videos. And the TA, Kun Yang, is ready to tutor and help with the homework and answer questons about the homework grading. Send them all email at any time.
Textbook
Second Edition
Brown, Cheng, Haacke, Thompson, and Venkatesan
John Wiley and Sons
New York, NY 2014
ISBN: 978-0-471-72085-0
Amazon.com
Half.com
In summary, what will we do in this course?
Actually, we will have a good chance to cover most of the text and you should be able to understand any topic in the book on your own at the end of the class. In order to touch on most of the chapters and their subjects, we will, of course, not do everything in each chapter. But it will be fun to see if we can be successful in understanding the main points of the whole book, and in practicing that understanding by way of the homework.