Systems Computational Neuroscience (Math 636)
All Students should be aware that the Department of Mathematical Sciences
takes the NJIT
Academic Honor Code
very seriously and enforces it strictly. This means
there must not be any forms of plagiarism, i.e., copying of homework, class
projects, or lab assignments, or any form of cheating in quizzes and exams.
Under the Honor Code, students are obligated to report any such activities
to the Instructor.
Please re-read Article III of the
Academic Honor Code,
which describes conducts that are considered unacceptable (cheating, violating
the US Copyright law, etc).
E-mail:
horacio at njit edu (preferred)
Tel:
(973) 596-5306
Course Description:
This course covers mathematical and computational modeling of neuronal networks. It
is the continuation of Analytical Computational Neuroscience (Math 635). We assume
knowledge of the topics taught there.
This class will rely heavily on students presentations of certain papers, class
participation and homework (including a final project).
Recommended Books:
"Theoretical Neuroscience: Computational and Mathematical Modeling of Neural
Systems", by Peter Dayan and Larry F. Abbott. The MIT Press,2001.
ISBN 0-262-04199-5
"Mathematical Foundations of Neuroscience", by G. B. Ermentrout & D. H. Terman - Springer (2010), 1st edition. ISBN 978-0-387-87707-5.
"Foundations of Cellular Neurophysiology", by Daniel Johnston and Samuel M.-S.
Wu. The MIT Press, 1995. ISBN 0-262-10053-3.
"Neuroscience", by D. Purves, G. J. Augustine, D. Fitzpatrick, W. C. Hall, A.-S. LaMantia, J. O. McNamara, L. E. White (eds.). Sinauer Associates, Inc., 2008.
ISBN 978-0-87893-7-697-7.
"Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting",
by Eugene M. Izhikevich. The MIT Press, 2007. ISBN 0-262-09043-8
Class meets:
Wed: 18:00 - 21:05, FMH
310
Office hours:
Tue & Wed 11:30-13:00 & Wed 11:30-13:00
Grading Policy:
Student Presentations: ......
50%
Homework: ........................
30%
Class Participation...........
20%
.
Please note that the University Drop Date
March 28, 2011 deadline will be
strictly enforced
Readings and Student Presentations
For each topic, a number of readings will be assigned.
Each of these will be presented in class by a designated student and will be discussed (in class) after the presentation.
Presentations should take no more than 20 minutes, and should include and introduction to the topic, a description of the models (and other methods) used, a summary of the results with the corresponding relevant explanations, and a discussion.
It is important that the discussion reflects the presenter's opinion on the matter.
Presenters are expected to propose a homework assignment.
All students must hand in a short report on the assigned readings at the beginning of the corresponding class. The report should include questions arising during the reading and understanding process.
Class Participation
Class participation is a big part of the grade.
Reading the papers will ensure that students can make a contribution during class.
Questions count as class participation.
Quizzes consisting of questions about the reading may be administered when appropriate.
Homework Policy
Homework will consist of modeling and simulations exercises on the topics discussed in class. Homework assignments will be posted on the course website.
A number of assignments will be given out during the semester
Assignments will be collected one week after they are given out
Only hard copies of the assignments will be accepted
(NO electronic submissions)
The source code used in your calculations MUST accompany the submitted homework
Class Policies:
Attendance and Participation:
Students must attend all classes. Absences from class will inhibit your
ability to fully participate in class discussions and problem solving sessions
and, therefore, affect your grade. Tardiness to class is very disruptive to
the instructor and students and will not be tolerated.
Makeup Exam Policy:
There will be no makeup exams, except in rare and extenuating situations where
the student has a legitimate reason for missing an exam. The
student must notify the NJIT Math office and the Instructor that he/she will
miss an exam. In all cases, the student must present written verifiable
proof of the reason for missing the exam, e.g., a doctor's note, police
report, court notice, etc., clearly stating the date AND times of the
mitigating problem.
Cellular Phones:
All cellular phones and beepers must be switched off during class and exam
times.
|
Class |
Date |
Topic of the Class |
Readings / Notes |
|
1
|
Jan 19
|
Introduction to Systems Computational Neuroscience.
Single neuron models (review).
|
LN-01
LN-02
|
|
2
|
Jan 26
|
Single neuron models (review)
|
LN-04
LN-03
|
|
3
|
Feb 2
|
Dynamical systems tools for neural models (review)
|
.
|
|
4
|
Feb 9
|
Bursting (review)
Firing rate models
|
|
|
5
|
Feb 16
|
Chemical and electrical synaptic transmission I
|
.
|
|
6
|
Feb 23
|
Chemical and electrical synaptic transmission II
|
.
|
|
7
|
Mar 2
|
Phase response curves.
|
.
|
|
8
|
Mar 9
|
Sub-threshold resonance
|
.
|
|
9
|
Mar 23
|
Supra-threshold resonance
|
.
|
|
10
|
Mar 30
|
Centrat pattern generators
|
.
|
|
11
|
Apr 6
|
Excitatory and inhibitory circuits I
|
.
|
|
12
|
Apr 13
|
Excitatory and inhibitory circuits II
|
.
|
|
13
|
Apr 20
|
Network oscillations I
|
.
|
|
14
|
Apr 27
|
Network oscillations II
|
.
|
|
--
|
|
Final Exam Period
|
.
|
.
.
.
.
Department of Mathematical Sciences(DMS).
New Jersey Institute of Technology (NJIT).
Horacio
Last modified: Tue Feb 23 10:26:23 EST 2010