Math 430 and Math 635: Analytical and Computational Neuroscience
Fall 2001, Prof. V. Booth

 
 





Contact Information:  Cullimore 612, (973) 596-5835,  vbooth@m.njit.edu
Office Hours: Monday and Wednesday 2:30-3:30pm, Tuesday 12:00-1:00pm

Textbook:  There is no textbook for the course.  Readings will be assigned from books placed on reserve at the library, from handouts and from web downloads.

Homework:  Weekly problem sets will be assigned every Wednesday and will be due the following Wednesday.  Late homeworks will not be accepted.

Exams:  One take-home midterm exam and a final project.

Grading: Homework 40%, mid-term exam 20%, final project 40%.
 

COURSE OUTLINE

Week 1:  Introduction, basic electrical properties of cells

Week 2:  Passive membrane properties, membrane time constant, ionic basis of action potentials

Week 3:  Ionic basis of action potentials, the Hodgkin-Huxley Model

Week 4:  The Hodgkin-Huxley Model

Week 5:   Simpler Hodgkin-Huxley-type models, introduction to phase plane analysis

Week 6:  Phase plane analysis of the Morris-Lecar Model

Week 7:  Phase plane analysis of the Morris-Lecar Model continued, Midterm Take-Home Exam.

Week 8:  Synaptic interactions. Midterm Exam due.

Week 9:  Two-cell networks

Week 10: Two-cell networks continued

Week 11: Bursting neurons. Final project assignments.

Week 12:  Bursting neurons continued

Week 13:  Case studies

Week 14:  Case studies

Week 15:  Final projects due.