Please reread Article III of the Academic Honor Code, which describes conducts that are considered unacceptable (cheating, violating the US Copyright law, etc).
Michael Gray
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.
Homework: ............ 30%
Midterm: ............... 30%
Project: ................. 30%
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Please note that the University Drop Date November 2, 2009 deadline will be strictly enforced
Class  Date  Topic of the Class  Lecture Notes 

Aug 31
 General outline  Introduction to the Neurosciences 


Sep 3
 Passive membrane properties 


Sep 7
 Labor Day  . 

Sep 10
 How to solve ODE's 


Sep 14
 Introduction to XPP 


Sep 17
 Dynamics of the passive membrane I 


Sep 21
 Dynamics of the passive membrane II 


Sep 24
 Integrateandfire neuron model 


Sep 28
 The HodgkinHuxley model I 


Oct 1
 The HodgkinHuxley model II 


Oct 5
 The cable equation I 


Oct 8
 The cable equation II 


Oct 12
 Modeling and simulations issues  . 

Oct 15
 Introduction to Dynamical Systems  Reduced neural models 


Oct 19
 Reduced one and twodimensional neural models 


Oct 22
 Onedimensional neural models: Phasespace analysis I 


Oct 26
 Onedimensional neural models: Phasespace analysis II 


Oct 29
 Review  . 

Nov 2
 Exam  . 

Nov 5
 Twodimensional neural models: Phasespace analysis I 


Nov 9
 Twodimensional neural models: Phasespace analysis II 


Nov 12
 Twodimensional neural models: Phasespace analysis III 


Nov 16
 Twodimensional neural models: Phasespace analysis IV 


Nov 19
 Subthreshold oscillations: Two and threedimensional models  . 

Nov 20
 Subthreshold oscillations: The canard phenomenon  . 

Nov 23
 Students Presentations: (1) Madhu, (2) Matthew  . 

Nov 24
 Student Presentations (Tue): (3) Fatima, (4) Meera  . 

Nov 27
 Thanksgiving Recess  . 

Nov 30
 Student Presentations: (5) Temmy, (6) Nima, (7) Jay  . 

Dec 3
 Student Presentations: (8) Bhaumik, (9) Juhyung, (10) Mohammed  . 

Dec 7
 Student Presentations: (11) Yang, (12) Swathi, (13) Karina  . 

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