## NEUR 415, Theoretical Neuroscience, Spring 2003

## Lectures, first 13 by Cox, next 13 by Gabbiani

## Single Cell Models

** Goal: ** Achieve a quantitative understanding of this
cartoon

** 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)
### Membrane conductance, capacitance & resting potential

Notes. The first
Assignment is due Tuesday January 21, in class.
### Linear ordinary differential equations, exact and numerical methods

Notes
### The (patch) Hodgkin-Huxley Equations

Notes The second
Assignment is due Tuesday January 28, in class.
### Phase-Plane Methods for Reduced Systems

Notes
### The Compartmental Passive Fiber

Notes The third
Assignment is due Tuesday February 4, in class.
### The Continuum Passive Fiber

Notes The fourth
Assignment is due Tuesday February 11, in class.
### Appending a Soma and adding branches

Notes The fifth
Assignment is due Tuesday February 18, in class.
### The Synapse

Notes The sixth
Assignment is due Tuesday February 25, in class.
### AMPA & NMDA receptors

Notes
### Spinal Calcium & Synaptic Plasticity

Notes

## Neuronal Coding

### Quantal hypothesis and models of synaptic release

Lecture material.
### Spontaneous activity and quantification of neuronal variability

Lecture material
and seventh assignment plus supporting material.
### Integration of synaptic inputs in dendritic trees

Lecture material and eigth assignment
plus supporting material. Assignment due Thursday, April 3, in class.
### Simplified models of neuronal activity

Lecture material and
assignment 9. Due Thursday, April 10, in class.
### Encoding of stimuli by instantaneous firing rate

Lecture material and
assignment 10. Due Thursday, April 17, in class.
### Models of V1 simple and complex cells

Lecture material and
assignment 11. Due Thursday, April 24, in class.
### Reverse-correlation methods for receptive field estimation

Lecture material
### Detection of motion and ROC analysis

** and **

### Encoding of time-varying stimuli and linear estimation methods

Lecture notes
### Final Exam

Final Exam Description