NJIT HONOR CODE:
Please re-read Article III of the Academic Honor Code, which describes conducts that are considered unacceptable (cheating, violating the US Copyright law, etc).
Instructor:
Horacio G. Rotstein
E-mail:
horacio at njit edu (preferred)
Tel:
(973) 596-5306
Teaching Assistants:
Michael Gray
E-mail:
mikgray@pegasus.rutgers.edu
Tel:
973-353-5080
E-mail:
olgars@pegasus.rutgers.edu
Tel:
973-353-3035
Course Description:
A mathematical and computational introduction to the biophysical mechanisms that underlie physiological functions of single neurons and synapses. Topics include voltage-dependent channel gating mechanisms, the Hodgkin-Huxley model for membrane excitability, repetitive and burst firing, nerve impulse propagation in axons and dendrites, single- and multi-compartmental modeling, synaptic transmission, calcium handling dynamics and calcium dependent currents and processes.
Textbooks:
"Foundations of Cellular Neurophysiology", by Daniel Johnston and Samuel M.-S.
Wu. The MIT Press, 1995. ISBN 0-262-10053-3.
"Biophysics of Computation - Information processing in single neurons", by
Christof Koch. Oxford University Press, 1999. ISBN 0-19-510491-9.
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
"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:
Mon & Thu: 10:00 - 11:25
FMH 308
Office hours
H.G.R.:
Mon & Thu 11:30-13:00 (Cullimore 614, NJIT)
M.G.:
Tue & Thu: 14:00-15:00 or by appointment (Boyden 346, Rutgers)
O. R.-S.:
Mon & Thu: 13:00-14:00 or by appointment (Aidekman 307F, Rutgers)
Grading Policy:
Homework: ............
30%
Midterm: ...............
30%
Project: .................
30%
.
Please note that the University Drop Date
November 2, 2009 deadline will be
strictly enforced
Homework Policy
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:
| Class | Date | Topic of the Class | Lecture Notes |
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Aug 31
| General outline - Introduction to the Neurosciences |
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Sep 3
| Passive membrane properties |
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Sep 7
| Labor Day | . |
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Sep 10
| How to solve ODE's |
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Sep 14
| Introduction to XPP |
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Sep 17
| Dynamics of the passive membrane I |
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Sep 21
| Dynamics of the passive membrane II |
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Sep 24
| Integrate-and-fire neuron model |
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Sep 28
| The Hodgkin-Huxley model I |
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Oct 1
| The Hodgkin-Huxley model II |
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Oct 5
| The cable equation I |
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Oct 8
| The cable equation II |
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Oct 12
| Modeling and simulations issues | . |
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Oct 15
| Introduction to Dynamical Systems - Reduced neural models |
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Oct 19
| Reduced one- and two-dimensional neural models |
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Oct 22
| One-dimensional neural models: Phase-space analysis I |
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Oct 26
| One-dimensional neural models: Phase-space analysis II |
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Oct 29
| Review | . |
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Nov 2
| Exam | . |
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Nov 5
| Two-dimensional neural models: Phase-space analysis I |
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Nov 9
| Two-dimensional neural models: Phase-space analysis II |
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Nov 12
| Two-dimensional neural models: Phase-space analysis III |
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Nov 16
| Two-dimensional neural models: Phase-space analysis IV |
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Nov 19
| Subthreshold oscillations: Two- and three-dimensional models | . |
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Nov 20
| Subthreshold oscillations: The canard phenomenon | . |
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Nov 23
| Students Presentations: (1) Madhu, (2) Matthew | . |
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Nov 24
| Student Presentations (Tue): (3) Fatima, (4) Meera | . |
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Nov 27
| Thanksgiving Recess | . |
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Nov 30
| Student Presentations: (5) Temmy, (6) Nima, (7) Jay | . |
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Dec 3
| Student Presentations: (8) Bhaumik, (9) Juhyung, (10) Mohammed | . |
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Dec 7
| Student Presentations: (11) Yang, (12) Swathi, (13) Karina | . |
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| Final Exam Period | . |
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Department of Mathematical Sciences(DMS).