NEUR 415, Theoretical Neuroscience, Fall 2009


Lectures 1-14.

Goal: Achieve a quantitative understanding of this cartoon. For a glimpse of the missing anatomical detail please view figure 2 in this paper and note that our cortex has 300,000,000 synapses per milligram!

Attitude: "teaching physiology without a mathematical description of the underlying dynamical processes is like teaching planetary motion to physicists without mentioning or using Kepler's laws; you can observe that there is a full moon every 28 days, but without Kepler's laws you cannot determine when the next total lunar or solar eclipse will be" (Keener & Sneyd)

Aug. 25 and 27, The Passive Isopotential Cell
     Chapter 3 Code.
     Assignment 1: Class notes, Chapter 2 exercises 1-9. Due in class Thursday, September 3.
     Solutions Chapter 2 Code.
     Assignment 2: Class notes, Chapter 3, exercises 1,2,5,6,7,8. Due in class Thursday, September 10.
     Solutions Chapter 3 Code.

Sep. 1 and 3, The Active Isopotential Cell .
     Outside Reading: Hodgkin and Huxley
     Chapter 4 Code.
     Assignment 3: Class notes, Chapter 4 exercises 1,2,3,5,6,7. Due in class Thursday, September 17.
     Solutions Chapter 4 Code.

Sep. 8 and 10, The Quasi-Active Isopotential Cell
     Chapter 5 Code.
     Assignment 4: Class notes, Chapter 5 exercise 1-7, from latest pdf. Due in class Thursday, September 24.

Sep. 15 and 17, The Passive Cable
     Chapter 6 Code.
     Assignment 5: Class notes, Chapter 6 exercises 1-6 and 10-12. Due in class Tuesday, October 6.

Sep. 22, 24 and 29, The Passive Dendritic Tree
     Matlab code: bevec.m befork.m
     Assignment 6: Class notes, Chapter 8.

Oct. 1, 6 and 8, The Active Dendritic Tree
     Matlab code: heafib.m hefork.m heafibA.m heafibAampa2.m heafibAampa2nmda.m
     Assignment 7: Class notes, Chapter 9.


Fall Recess: October 12-13

Lectures 15-28.

The pdf of the lecture material can be downloaded here.

Oct. 15, 20 and 22: Quantal hypothesis and stochastic models of synaptic release
     Reading: Sects. 11.1-11.7 and Sects. 12.1-12.7.
     Assignment 8: Exer. 11.16 and 12.1. Due in class Thursday, October 22.

Oct. 27 and 29: Spontaneous activity and quantification of neuronal variability
     Reading: Sects. 11.10-11.11 and Chapt. 15.
     Assignment 9: Exer. 11.20, 15.1 and 15.2. Due in class Tuesday, November 3.

Nov. 3: Simplified models of neuronal activity
    Reading: Chapt. 10
     Assignment 10: Exer. 10.5, 12.2 (reproduce only Fig. 12.10A; but if you reproduce B you will get extra points) and 15.4. Due in class Tuesday, November 10.

Nov. 5, 10 and 12: Fourier transforms
     Reading: Chapt. 7
     Assignment 11: Exer. 7.5, 7.15, 7.16, 7.17, 7.18. Due in class Tuesday, November 17.

Nov. 17: Encoding of stimuli by instantaneous firing rate
     Reading: Sects. 16.4, 16.5, Chapts. 19 and 20
     Assignment 11: Exer. 16.6, 16.16 and 20.5. Due in class Tuesday, November 24.