Principles of Neuroimaging A - 2010
Principles of Neuroimaging A, Fall, 2010 - Class Schedule and Syllabus
Lecture Videos
- Monday 10-18-10 - Statistics for Imaging I. Speaker Catherine Sugar
- Wednesday 10-20-10 - Statistics for Imaging II. Speaker Catherine Sugar
- Wednesday 10-27-10 - Optics II. Speaker Zachary Taylor
- Wednesday 11-03-10 - Noise Speaker Mark Cohen
- Monday 11-8-10 - Wide field Optical imaging. Speaker Nader Pouratian
- Wednesday 11-10-10 - Circuits I. Mark Cohen
- Wednesday 11-17-10 - Human Electrophysiology Speaker John Stern
- Monday 11-22-10 - Design of an EMG Preamp. Speaker Mark Cohen
- Wednesday 12-1-10 - review Speaker Mark Cohen
Week 1: Orientation to Neuroimaging, Neurons, Brains
Monday 9/27/10 - Orientation & Neurons. Speaker: Mark Cohen
In this first class we will review the basics of neurophysiology with an eye towards what signals of brain function might be visible to the neuroimager. We will discuss information coding, energetics, size and time scales.
Required Readings
Suggested Further Reading
- This paper, by Malhi, is a nice orientation in methods of neuroimaging. *Making sense of neuroimaging in psychiatry
Wednesday 9/29/10 - The Organization of the Human Brain. Speaker: Susan Bookheimer
A probe mail was sent this afternoon to all students in the class. If you did not receive this (subject, "A Probing Question"), let me know
We will discuss the general organization of the human brain, and the regional specialization of cortical areas. The emphasis will be on understanding principles of organization:
- Phylogenetic Layering
- Functional Specialization
- Principles Divisions of the Brain
- Brain Systems
Required Readings
Suggested Further Reading
Problem Set 1 Neuroanatomy. Due in class 10/6. Please remember that the preferred way for us to receive problem sets is via email to Mark and to Austin.
We will be studying linear systems next week. This coming week until Monday would be a good time to review your calculus fundamentals:
- Derivatives of Polynomials
- Integrals of polynomials
- Basic trig + derivatives and integrals of sine and cosine functions
When we start on the linear systems section, we will be using these fundamentals to develop the LaPlace and Fourier transforms, which involve the use of imaginary numbers. The math content for that section is largely contained in this link: Mathematical Tools.
Please let me know by email or other means if this material looks too difficult.
You will need to have matlab installed and running to do the next problem set.
Week 2: Linear Systems
Why the emphasis on Linear Systems? Because they are actually easy (as compared to non-linear systems, which are not.) As we go through this course, we will see many ways in which linear systems theory is applied to:
- Modeling of Neural Systems
- Extraction of Signal from Noise
- Design of Circuits
- Image Enhancement
- Understanding of Image artifacts, and others.
Linear systems analysis is one of the great technologies of the 20th and 21st century. It is now the basis for virtually all electronics design, and its extension into the discrete (digital) domain is the basis for most of modern signal processing.
In our specific case, we will use these few basic principles of linear systems to understand both the instruments we use and the neuroimaging signals we collect. When you have mastered this material, you should be in a much better position to model the systems that you study in order to develop an approach to studying them.
Here is A primer on imaginary numbers that might be a helpful review.
Monday 10/4/10 - Transforms and the Convolution Theorem. Speaker: Mark Cohen
Required Readings
- van Drongelen: Chapter 1
- Mathematical Tools - updated 10/4/10 after class
Suggested Further Reading
- Problem Set 2A - Introduction to matlab
Slides shown in class
- Linearity and the Fourier Transform - updated 10/4/10 after class
Please see MATLAB linearity demo
If you are the type who sees beauty in mathematics, the Euler identity may be one of the most beautiful pieces of math in the world.
Wednesday 10/6/10 - Fourier Transform Properties. Speaker: Mark Cohen
- Example transform derivations
- The Convolution theorem
- Oddness (and Even-ness)
- The Fourier Shift Theorem
Please see MATLAB demo of Fourier transforms and convolution
Optional Readings:
- van Drongelen: Chapters 5 through 9
- Note: This reading may be heavy going. I will not be going into nearly this much detail in class, but your time on this will be very well spent. We will be revisiting this material later in the course in week 5.
Suggested, Optional Readings from DSPguide.com:
- Note: These chapters are lite on math and try to focus on a conceptual understanding
- Problem Set 2B modeling in matlab
Problem Set 2A and Problem Set 2B
Practice using the Fourier transform:
I suggest very strongly that you brush up on linear algebra during this week in anticipation of Dr. Sugar's lectures in statistics. In particular, I would like you to have an understanding of :
- Matrices as solutions to linear equations - determinants and inverses
- Matrix multiplication
For these, I can recommend the Hefferon text noted above.
Week 3: Noise and Basic Statistics
Monday 10/11/10 - Noise. Speaker: Mark Cohen
It is what you don't want.
- Additive noise
- White Noise
- Boltzmann noise
- Colored Noise
- Gaussian Noise
- Coherent noise
- Sampling Errors
- Aliasing
- Quantization noise
- Spectral filtering
Noise comes in all shapes and colors. It is present in every measurement we make, from an EEG voltage to an estimate of the effects of dopamine on forebrain signal. Our best weapons are an understanding of the statistical properties of noise, the sources of noise and the ways to control it. Noise in the discrete digital domain is special, as it is both created by digitization and amplified by sampling.
Readings:
- van Drongelen: Chapters 2 through 4
- Slides used in Class:
Noise Slides
- Problem set 3 - properties of noise
Wednesday 10/13/10 - Statistical Fundamentals. Speaker: Catherine Sugar
We will consider the general problems of statistical inference, with a concentration on developing an intuitive understanding of statistical concepts.
Review of:
- Descriptive Statistics: mean, mode, variance, standard deviation
- Statistical Inference. The Binomial and Normal Distribution
- Basic Tests: t-test, linear correlation
- Modeling and non-linear relations
- Bayes rule
Suggested reading
- The latter teaches stats at what I feel to be the right level - developing intuitions about the kinds of questions that can be answered using stats and about the statistical tests and measures
- Problem Set 5 - Statistics in matlab
Week4: Statistics for Imaging
Monday 10/18/10 - Statistics for Imaging I. Speaker: Catherine Sugar
- Outline
Required Readings
- The General Linear Model
- Linear Algebra applied to Statistical Solutions
- Analysis of Variance
Suggested Further Reading
Wednesday 10/20/10 - Statistics for Imaging II. Speaker: Catherine Sugar
- Fixed and Random Effects
- Repeated measures
- Bonferroni and Other Corrections
- Non-Parametric Methods
- Autocorrelation
- Unknown Distributions
Required Readings
Suggested Further Reading
Week 5: Optics
The prototypical imaging means: Direct visualization. These lectures will cover the principles of light transmission, refraction, reflection and dispersion and will develop a quantitative approach to the analysis of optical systems. We will cover the theory of lenses, imperfections in focus, such as chromatic aberration, and a model of optical devices that builds on our understanding of convolution.
Monday 10/25/10 - Optics I. Speaker: Zachary Taylor
The overall goal of this lecture is to establish that: - Physical constants have tangible meanings - Plane waves form a physically unrealizable but extremely good approximation to real systems - Boundaries bend light - Physical constants, plane wave mechanics, and boundaries can be used to describe the operation of a lens - The PSF gives a good indication of the overall performance of an imaging system - All of these concepts have analogues in other areas of engineering (ie circuits, mechanical vibrations, etc.)''
Outline:
- Constitutive parameters (ε, μ, η, n, etc.)
- Plane wave basics
- Plane waves at boundaries
- Lenses
- Advanced imaging properties of lenses
- Point spread function.
Required Readings Zach has very kindly agreed to post his Optics lecture notes. Suggested Further Reading
Wednesday 10/27/10 - Optics II. Speaker: Zachary Taylor
Required Readings
Suggested Further Reading
Week 6: Optical Neuroimaging
MIDTERM POSTED
Monday 11/1/10 - Optical Applications. Speaker: tbd
Required Readings
Suggested Further Reading
Wednesday 11/3/10 - Optical and flourescence methods in dynamic neural systems. Speaker: Kevin McEvoy
- Outline
Required Readings
Week 7: Optical Intrinsic Imaging, Beginning Circuits
Monday 11/8/10 - Wide field Optical imaging. Speaker: Nader Pouratian
Required Readings
Suggested Further Reading
Wednesday 11/10/10 - Circuits I. Mark Cohen
Why circuits?
- (Virtually) Every device you use in your research is electronic. You access your primary data only indirectly
- The device you really want in your lab doesn't exist. You very well may have to make it.
- There are electronic analogs to most of the linear systems that you have so far studied (and vice versa - the tools you now understand can be used to analyze and predict circuit behavior).
If you have not had any of this background, you might want to have a look at this handout, Electrical Circuits, in advance. There are near infinite numbers of resources on the web that cover similar material (near enough to infinite that by the time you read all of them, there would be a whole new set.) I have recently come across a link to Online Books: All About Circuits IF you want practical hands-on knowledge about this material, my all-time favorite text is "Horowitz and Hill: The Art of Electronics." The latest edition, however, is dated 1989 and a new third edition is promised. I have therefore stopped short of recommending a purchase unless your need to make circuits is immediate. In this book, you will find an excellent education on the fundamental principles of electrical circuits and an incredible compendium of practical data, such as how to assemble circuit boards, how to make measurements, etc...)
I found a nice intro lecture on charge, current and voltage.
Readings:
- You may or may not find this comprehensible without chapters 5 through 9.
We will discuss:
- Passive Circuit Elements: Resistors, Capacitors, Inductors
- Gain
- Transformers
- Rectifiers
- Active Elements
- - Amplifiers
- - Transistors
- - Op Amps
- Solutions with Matrices
Suggested Further Reading
Week 8: Electricity and Electronics. Human Electrophysiology
Monday 11/15/10 - Electricity and Electronics. Speaker: Mark Cohen
- Laplace transform analysis
- Op Amp Circuits
- Active Filters
- Noise Control
Required Readings
Suggested Further Reading Please note that I have the components we used for the class demos available for you to play with at your leisure.
Wednesday 11/17/10 - Human Electrophysiology Speakers: Jonathan Wynn, John Stern
Evoked Responses - Guest Lecturer: Jonathan Wynn
- A look at real EEG data
- Preprocessing:
- filtering
- artifact detection/removal
- averaging
- single events
- interpretation
Clinical EEG - Guest Lecturer: John Stern
- Normal and Abnormal EEG
- EEG as a marker for brain state
- sleep staging
- alpha and relaxation
- Neurofeedback???
Week 9: Practical Electronic Circuits
This week we will design, build and test a practical device for recording of human electrical potentials: The electromyogram, or EMG. This device must manage the many challenges of interfacing with small biological signals: Sensitivity, Gain, Noise, Linearity, Filtering. The recording we (hopefully) will make will demonstrate issues of linearity and neural coding.
Monday 11/22/10 - Design of an EMG Preamp. Speaker: Mark Cohen
- Outline
Required Readings
Suggested Further Reading
- Problem Set on circuits - Due Monday 11/30
Wednesday 11/24/10 - Building and Using Electronic Devices: EMG. Speaker: Mark Cohen
- Outline
Required Readings
Suggested Further Reading
Week 10: Filters
Monday 12/1/10 - Circuits, cont'd. Speaker: Mark Cohen
Wednesdat 12/3/10 - Autocorrelation, Filters and Color/Course review. Speaker: Mark Cohen
Required Readings Most of what we will look at today is in chapter 7 & 8 of Van Drongelen.
Suggested Further Reading
==Monday 12/8/10 - Final distributed electronically