Please reread Article III of the Academic Honor Code, which describes conducts that are considered unacceptable (cheating, violating the US Copyright law, etc).
A mathematical and computational introduction to the biophysical mechanisms that underlie physiological functions of single neurons and synapses. Topics include voltagedependent channel gating mechanisms, the HodgkinHuxley model for membrane excitability, repetitive and burst firing, nerve impulse propagation in axons and dendrites, single and multicompartmental modeling, synaptic transmission, calcium handling dynamics and calcium dependent currents and processes, dynamical systems tools for the analysis of mechanisms of neural activity.
Office hours: Tue & Thu 2:304:00 (HGR),
Homework, quizzes & class participation: .................. 40%
Projects / Presentations: .............................................. 30%
Midterm exam: ............................................................. 30%
Math430 (Undergraduate):
Homework, quizzes & class participation: .................. 40%
Midterm exam: .............................................................. 30%
Final Exam: .................................................................. 30%
.
Please note that the University Drop Date November 3, 2011 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.
Week  Topics of the Class  Notes  


Introduction to the course
Introduction to Computational Neuroscience and neural dynamics Passive membrane properties  The passive membrane equation  LN01 


Ordinary differential equations (ODEs)  Review of analytical methods
Ordinary differential equations (ODEs)  Review of numerical methods using Matlab and XPP  LN04 

 Dynamics of the passive membrane equation  LN06 


Integrateandfire models
Thd HodgkinHuxley model I  LN07 


Thd HodgkinHuxley model II
The cable equation I  LN08 


The cable equation II
Introduction to dynamical systems methods for neural models Reduced one and twodimensional neural models  LN09 

 Onedimensional neural models: Phasespace analysis I  LN11 

 Twodimensional neural models: Phasespace analysis I  LN12 

 Twodimensional neural models: Phasespace analysis II  LN12 


Subthreshold oscillations: Two and threedimensional models
and Subthreshold and suprathreshold resonance  LN13 

 Bursting: threedimensional models  LN15 

 Project Presentations  

 Project Presentations 
.
.
.
.
Department of Mathematical Sciences(DMS).
New Jersey Institute of Technology (NJIT).