[ MATH 430 - 635 SYLLABUS LINK ]

Notes and Other Course Material:

 Lecture Topic File Code Textbook Sections 1-2 Neurons and Synapses [ ppt ] #1.1 2 Physics Review [ pdf ] 3-4 Equation of passive membrane [ pdf ] #2.1.2-#2.1.4 4 Derivation of Nernst potential [ pdf ] #2.1.1 5 Time-dependent current; stability analysis [ pdf ] #3.2 6 Introduction to Matlab: sample programs [ myExp.m ] [ plots.m ] 7 Numerical solution to ODEs: Euler Method [ pdf ] [ myEuler.m ] [ myEulerScript.m ] 8 Integrate-and-Fire Models [ IandF.m ] [ IandFquadratic.m ] #3.3.8, #8.1.1, #8.1.3 9 1D Bifurcations: saddle-node & transcritical #3.3.3-#3.3.7 10-12 2D Vector Fields and Linear Systems [ pdf ] [ PhasePlane2D.m ] #4.1.1-#4.2.5 13-14 FitzHugh-Nagumo Model; Hopf Bifurcation [ FN_Hopf.m ] #4.2.6, #4.3.5, #6.1.3-#6.1.4 15 Morris-Lecar Model [ T&E ] [ ML_Hopf.m ] [ ML_SHOB.m ] #5.1.2; Terman & Ermentrout 16-17 Hodgkin-Huxley Model [ pdf ] [ HH.m ] #2.3 18 2D reduction of Hodgkin-Huxley Model [ HH_2D.m ] #5.2.1 19-20 Bifurcations from Rest to Spiking [ pdf ] [ ML_Hopf.m ] [ ML_SHOB.m ] #1.2, #4.3, #6.1-6.2, #7.1-#7.2 21-22 Models of Bursting [ T&E ] [ Square-Wave ] [ Elliptic ] #9.1-#9.3; Terman & Ermentrout 23-24 Propagation of Action Potential [ pdf ] #2.3.3-#2.3.4 25 Synaptically coupled cells and the PRC

 Hodgkin-Huxley original article (1952): [ J Phys, pdf ]

Homework and Quizzes:

 [ Assignment 10 ] [ Assignment 9 ] [ Assignment 8 ] [ Assignment 7 ] [ Solution ] [ Assignment 6 ] [ Solution ] [ Assignment 5 ] [ Solution ] [ Assignment 4 ] [ Solution ] [ Assignment 3 ] [ Solution ] [ Assignment 2 ] [ Solution ] [ Assignment 1 ] [ Solution ] [ Quiz ] [ Solution ]

Exams and Solutions:

 [ Fall 2015, Final Exam ] Solutions: [ pdf ] [ Fall 2015, Midterm Exam ] Solutions: [ pdf ]

Time and Place:

 Time: Mon & Thu 4:00pm-5:25pm Room KUPF 209

Office Hours:

Cullimore Hall 616, Mon & Thu 1:30pm-3:00pm
or by appointment: matveev@njit.edu

Exam Info:

 Midterm Exam October 26, 2015, 4:00pm-5:25pm, KUPF 209 Final Exam December 17, 2015, 2:30pm-5:00pm, FMH 106

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