Quantitative methods in neuroscience

NeuBeh 545/PBIO 545

Tu/Th 12-1:20, T478 HSB

Date Topic and Handouts

Reading and Discussion topics

1/4

Linear Algebra

some logistics

linear algebra primer from Eero Simoncelli

Linear transformations on Wikipedia

Column space demo from class (note: requires some files from linear algebra tutorial - get those first)

1/9

Linear Algebra:

Discussion

linear algebra tutorial normrnd PlotVector Plot3DVector

note: you need all four files; make sure they are all on Matlab's path. You may already have normrnd if you have the statistics toolbox.

Markov chain slides (optional part of tutorial)

1/11

Journal club:

Tony, Tade

Wandell, Foundations of Vision, Chapter 4
Baylor, Nunn and Schnapf (1987) J Physiol 390:145-160.

1/16

Fourier Analysis, Filters and Convolution

Press et al., Numerical Recipes, pages 496-508 (2nd edition, this is beginning of Ch. 12); Ch. 13
Koch, Biophysics of Computation, Appendix B
Wandell, Foundations of Vision, Appendix A (a mix of linear algebra and linear systems stuff).

1/18

Fourier Analysis, Filters and Convolution: Discussion

 

Fourier analysis tutorial

linear systems primer from Eero Simoncelli (note this is not the same as the linear algebra one above - has a lot of Fourier stuff in it).

1/23

Journal club:

Tess, Peter, Joanna, Scott G

Hubel-Wiesel movies

papers for discussion:

Movshon, 1978a

Movshon, 1978b

1/25

Journal club:

 

 

1/30

Differential equations and neural dynamics

 

Howard Berg, Random Walks in Biology, Appendix B
Hugh Wilson, Spikes, Decisions and Actions, Chapters 1, 2, 3
Wilson, Chapter 5 (numerical methods)

2/1

Differential equations and neural dynamics: Discussion

tutorial

Simulink tutorial (optional)

2/6

Journal club:

Ryan, Scott V, Dave, Philipp

 

Robinson

Fuchs, Scudder and Kaneko

2/8

Journal club:

 

Supplementary material:

Villus material part 1

Villus material part 2

Villus material part 3

simulink model (works on Matlab 5)

2/13

Introduction to the Theory of Stochastic Processes

 

Berg, Apendix A
Koch, Chapter 15
Duda, Hart and Stork, Pattern Classification (2nd edition), Appendix 4

probability basics tutorial

2/15

Introduction to the Theory of Stochastic Processes: Discussion

 

Stochastic Processes Tutorial (note: you need all four files in this folder; make sure they are all on Matlab's path)

Moment generating functions tuturial (you need both files in folder)

Kemeny and Snell, Finite Markov Chains

kemeny_snell_ch1

kemeny_snell_ch2

2/20

Journal club:

Stavros, Jess, Jon, Elisabeth

 

Shadlen and Newsome, Current Opinion (primary paper for discussion)

Softky and Koch

Shadlen and Newsome (longer one)

random walk Markov chain demo from class

2/22

Journal club:

 

 
2/27 PCA and Dimensional Reduction PCA tutorial (note: you need all four files in this folder; make sure they are all on Matlab's path)
3/1 PCA and Dimensional Reduction: Discussion  
3/6

Journal club:

Kate, Charlie, Shanti

Simoncelli chapter (good intro to PCA and friends)

Yang Dan complex cell paper

 

3/8

Journal club:

 

 

Instructors and contact info:

Adrienne Fairhall fairhall@u.washington.edu
Fred Rieke rieke@u.washington.edu
Mike Shadlen shadlen@u.washington.edu
Roozbeh Kiani roozbeh@u.washington.edu
Brian Lundstrom

lundbr@u.washington.edu

Course project:

suggested projects

final project files

Computers, etc:

Computers with MATLAB are available in the PBIO computer room and the NeuBeh office.

Contact one of us if you are having problems finding a machine you can use.

Useful links:

site for Theoretical Neuroscience, Dayan and Abbott (see Exercises)

Villus web site

Mathematical details of Fourier analysis from Wolfram Research

Fourier transform primer (vision centered)