Lectures

Explore the sequence by unit or choose an individual topic below.

Each lecture brings together readings, slides, tutorials, demonstrations, and practice resources. Some PDFs require restricted access; public resources remain available independently of course enrollment.

Lecture 1

Biophysics, dynamics, neuron doctrines, and organization of the brain

Lecture 2

Post-Synaptic Potentials, Qualitative Analysis, Characteristic Times

Lecture 3

Compartmental modeling, physical dimensions, phase diagrams, calcium influx experiment

Lecture 4

Nernst equilibrium potentials and the GHK voltage equation

Lecture 5

The current balance equation for membrane voltage

Lecture 6

Goldman-Hodgkin-Katz theory

Lecture 7

Voltage-dependent currents and bistability

Lecture 8

Bifurcation diagrams

Lecture 9

Voltage-clamp recording and the classical biophysics of the squid giant axon

Lecture 10

The Morris-Lecar model and phase plane

Lecture 11

Phase plane analysis of 2d ODE systems

Lecture 12

The Fitzhugh Nagumo Model, Linear Stability Analysis, and the Trace-Determinant Plane

Lecture 13

The Morris-Lecar Phase Plane - Type 1 vs 2 excitability and oscillations

Lecture 14

Square-wave bursting and homoclinic bifurcations

Lecture 15

Elliptical and Parabolic Bursting, The Low-Threshold Calcium Current and PIR Bursting, Delta Oscillations

Lecture 16

Central Pattern Generators, Stomatogastric Ganglion, Half-Center Oscillators, Release vs. Escape Dynamics

Lecture 17

Network properties of the thalamus - spindles and absence seizures

Lecture 18

EEGs, sensory gating by visual thalamus, drivers and modulators, power spectral analysis of cortical function

Lecture 19

Local field potentials, unit recordings, hippocampal place cells

Lecture 20

Vision: Classification of retinal ganglion cells, parallel pathways, contrast sensitivity, spatial frequency analysis

Lecture 21

Inhibitory interneuron networks in cortex and cortical oscillations

Lecture 22