Analytical and Computational Neuroscience

              Math 430 (Undergrad) & Math 635 (Grad)

                      Fall 2008

    NJIT HONOR CODE:

    Course Outline:


Class Date Topic of the Class Material & Homework Lecture Notes
1
Sep 2
General outline - Introduction to the Neurosciences
RR
LN-01
2
Sep 4
Passive membrane properties
RR
LN-02
3
Sep 9
How to solve ODE's .
LN-03
4
Sep 11
Introduction to XPP
RR
LN-04
5
Sep 16
Dynamics of the passive membrane I
HW-1
LN-05
6
Sep 18
Dynamics of the passive membrane II .
''
7
Sep 23
Integrate-and-fire neuron model
RR
LN-06
8
Sep 25
The Hodgkin-Huxley model I
RR
LN-07
9
Sep 30
The Hodgkin-Huxley model II .
''
10
Oct 2
The cable equation I
RR
LN-08
11
Oct 7
The cable equation II .
''
12
Oct 9
Modeling and simulations issues
HW-2
.
13
Oct 14
Introduction to Dynamical Systems - Reduced neural models .
LN-09
14
Oct 16
Reduced one- and two-dimensional neural models .
LN-10
15
Oct 21
One-dimensional neural models: Phase-space analysis I
RR
''
16
Oct 23
One-dimensional neural models: Phase-space analysis II
RR
''
17
Oct 28
Two-dimensional neural models: Phase-space analysis I
RR
LN-11
18
Oct 30
Two-dimensional neural models: Phase-space analysis II
HW-3
''
18
Nov 4
Two-dimensional neural models: Phase-space analysis III
RR
''
18
Nov 6
Two-dimensional neural models: Phase-space analysis IV
RR
''
21
Nov 11
Review . .
22
Nov 13
Exam . .
23
Nov 18
Subthreshold oscillations: Two- and three-dimensional models .
LN-12
24
Nov 20
Subthreshold oscillations: The canard phenomenon .
LN-13
25
Nov 25
Student Presentations: Dongwook, Hui, Sagar
Papers
.
--
Nov 27
Thanksgiving Recess . .
26
Dec 2
Student Presentations: Rorey, Iva, Shengbin
Papers
.
27
Dec 4
Student Presentations: Xinxian, Kohitij, Ben
Papers
.
28
Dec 9
Student Presentations: Mike, Nanna, Yi, Chenjing
Papers
.
--

Final Exam Period . .


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Department of Mathematical Sciences(DMS).

New Jersey Institute of Technology (NJIT).


Horacio
Last modified: Wed Oct 7 16:16:50 EDT 2009