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.
Homework: ............ 20%
Midterm: ............... 30%
Project: ................. 30%
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Please note that the University Drop Date November 3, 2008 deadline will be strictly enforced
Class  Date  Topic of the Class  Material & Homework  Lecture Notes 

Sep 2
 General outline  Introduction to the Neurosciences 



Sep 4
 Passive membrane properties 



Sep 9
 How to solve ODE's  . 


Sep 11
 Introduction to XPP 



Sep 16
 Dynamics of the passive membrane I 



Sep 18
 Dynamics of the passive membrane II  . 


Sep 23
 Integrateandfire neuron model 



Sep 25
 The HodgkinHuxley model I 



Sep 30
 The HodgkinHuxley model II  . 


Oct 2
 The cable equation I 



Oct 7
 The cable equation II  . 


Oct 9
 Modeling and simulations issues 
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Oct 14
 Introduction to Dynamical Systems  Reduced neural models  . 


Oct 16
 Reduced one and twodimensional neural models  . 


Oct 21
 Onedimensional neural models: Phasespace analysis I 



Oct 23
 Onedimensional neural models: Phasespace analysis II 



Oct 28
 Twodimensional neural models: Phasespace analysis I 



Oct 30
 Twodimensional neural models: Phasespace analysis II 



Nov 4
 Twodimensional neural models: Phasespace analysis III 



Nov 6
 Twodimensional neural models: Phasespace analysis IV 



Nov 11
 Review  .  . 

Nov 13
 Exam  .  . 

Nov 18
 Subthreshold oscillations: Two and threedimensional models  . 


Nov 20
 Subthreshold oscillations: The canard phenomenon  . 


Nov 25
 Student Presentations: Dongwook, Hui, Sagar 
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Nov 27
 Thanksgiving Recess  .  . 

Dec 2
 Student Presentations: Rorey, Iva, Shengbin 
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Dec 4
 Student Presentations: Xinxian, Kohitij, Ben 
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Dec 9
 Student Presentations: Mike, Nanna, Yi, Chenjing 
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 Final Exam Period  .  . 
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Department of Mathematical Sciences(DMS).
New Jersey Institute of Technology (NJIT).