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.
Fri: 10:00  11:25, KUPF203
Homework & Quizzes: ......... 40%
Student Presentations: ....... 30%
Final Exam: ....................... 30%
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Please note that the University Drop Date November 1, 2010 deadline will be strictly enforced
Class  Date  Topic of the Class  Notes 

Aug 31

Introduction
Introduction to Computational Neuroscience and neural dynamics I  LN01 

Sep 3

Introduction to Computational Neuroscience and neural dynamics II
Passive membrane properties  The passive membrane equation  LN02 

Sep 7
 How to solve ordinary differential equations (ODEs)  Review of analytical methods  LN04 

Sep 10

Introduction to XPP for ODEs
Introduction to Matlab for ODEs 
LN05
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Sep 14
 Dynamics of the passive membrane equation I  LN06 

Sep 17
 Dynamics of the passive membrane equation II  " 

Sep 21
 Integrateandfire models  LN07 

Sep 24
 Thd HodgkinHuxley model I  LN08 

Sep 28
 Thd HodgkinHuxley model II  " 

Oct 1
 The cable equation I  LN09 

Oct 5
 The cable equation II  " 

Oct 8
 Discussion on modeling and simulatins issues  

Oct 12
 Introduction to dynamical systems methods for neural models  LN10 

Oct 15
 Reduced one and twodimensional neural models  " 

Oct 19
 Onedimensional neural models: Phasespace analysis I  LN11 

Oct 22
 Onedimensional neural models: Phasespace analysis II  " 

Oct 26
 Twodimensional neural models: Phasespace analysis I  LN12 

Oct 29
 Twodimensional neural models: Phasespace analysis II  

Nov 2
 Twodimensional neural models: Phasespace analysis III  

Nov 5
 Twodimensional neural models: Phasespace analysis IV  

Nov 9
 Subthreshold oscillations: Two and threedimensional models  

Nov 12
 Subthreshold oscillations: The canard phenomenon  

Nov 16
 Bursting I  

Nov 19
 Bursting II  

Nov 23
 Student Presentations: Douglass, Rambert & Xavier  

Nov 26
 Thanksgiving Recess (no class)  

Nov 30
 Student presentations: Cardie, Pavan & Motolani  

Dec 3
 Student presentations: Dun, Zeynep & Stephanie  

Dec 7
 Classes follow a Thursday schedule (no class)  

Dec 8
 Student Presentations: Gokhan & Ali (Classes follow a Friday schedule)  

 Final Exam Period 
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Department of Mathematical Sciences(DMS).
New Jersey Institute of Technology (NJIT).