Please note that it is my professional obligation and responsibility to report any academic misconduct to the Dean of Students Office. Any student found in violation of the code by cheating, plagiarizing or using any online software inappropriately will result in disciplinary action. This may include a failing grade of F, and/or suspension or dismissal from the university. If you have any questions about the code of Academic Integrity, please contact the Dean of Students Office at dos@njit.edu.
A mathematical and computational introduction to the biophysical mechanisms that underlie physiological functions of single neurons, synapses and networks. 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, calcium handling dynamics and calcium dependent, currents and processes, synaptic transmission, network dynamics, dynamical systems tools for the analysis of mechanisms of neural activity.
Codes for Figures and Tutorials
"Neuronal Dynamics: From Single Neurons to Networks and Models of Cognition", by W. Gerstner, W. M. Kistler, R. Naud & L. Paninsky
CKB 316
Office hours:
Assignments/Miniprojects, quizzes & class participation: .................. 40%
Midterm exam / project/presentation: ............................................... 30%
Final Projects and Presentation: ...................................................... 30%
The final project consists primarily on (i) the reproduction of the results of a paper and (ii) additional original work (based on the selected paper)
The project paper is selected jointly by the student and the instructor, ideally contributing to the student's research project
Biol432 & Math430 (Undergraduate):
Assignments/Miniprojects, quizzes & class participation: .................. 40%
Midterm exam / project/presentation: ............................................... 30%
Final Projects and Presentation: ...................................................... 30%
The final project consists primarily on the reproduction of the results of a paper.
The project paper is selected jointly by the students and the instructor
.
Please note that the University Drop Date deadline will be strictly enforced
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
Chatting in class using electronic devices will not be tolerated.
(Updated versions of the Lecture Notes will be provided in Slack)
Week | Topics of the Class | Notes | |
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Introduction to the course
Introduction to Computational Neuroscience and neural dynamics Passive membrane properties - The passive membrane equation | LN-01 |
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Ordinary differential equations (ODEs) - Review of analytical methods
Ordinary differential equations (ODEs) - Review of numerical methods |
LN-04
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| Dynamics of the passive membrane equation | LN-05 |
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Integrate-and-fire models
The Hodgkin-Huxley model I | |
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The Hodgkin-Huxley model II
The cable equation | LN-08 |
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The cable equation II
Introduction to dynamical systems methods for neural models Reduced one- and two-dimensional neural models | |
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| One-dimensional neural models: Phase-space analysis I | LN-10 |
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| Two-dimensional neural models: Phase-space analysis I | LN-11 |
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| Two-dimensional neural models: Phase-space analysis II | LN-11 |
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Subthreshold oscillations: Two- and three-dimensional models
and Subthreshold and suprathreshold resonance | |
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| Bursting: three-dimensional models | LN-12 |
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Synaptic Dynamics
Network Dynamics | LN-13 |
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| Project Presentations | |
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| Project Presentations | |
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| Project Presentations |
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Department of Mathematical Sciences(DMS).
New Jersey Institute of Technology (NJIT).