Derive the cable equation for a uniform cylinder, with optimal boundary conditions.
How does the diffusion equation differ from the cable equation?
Explain the Hodgkin-Huxley model of the action potential.
Explain the concept of "signal to noise," and give a mathematical definition.
Describe the integrate-and-fire model of individual neurons?
What are the fundamental ways to estimate visual motion in 1-D?
Describe the trichromacy vs. opponency theories of color processing.
Describe the two major pathways in the visual system of the primate. Why are there so many visual cortical areas?
What is perceptual constancy ?why it is biologically important?
How measurements of reaction times can be used to infer brain architecture?
What is Bayes' Rule?
What is a separatrix?
Derive the conditions for stability of a two-dimensional linear system.
what is meant by Turing-universal?
Show how to compute the Boolean functions AND and OR using a linear threshold element?