Explain how a system of chemical reactions can be represented as ODEs and PDEs?
What are the differences between entropy, free energy, and enthalpy?
Explain the basic circuits for a current- and voltage- clamp set-up.
Describe the main biophysical characteristics of one type of ionic channel and how its biophysical properties contribute to its physiological function?
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?