Office: 612 Cullimore Hall
    Phone: (973) 596-5835
    Fax: (973) 596-5591
    E-Mail: vbooth@m.njit.edu
    Mailing Address: Department of Mathematical Sciences
                                 NJIT, University Heights, Newark, NJ, 07102-1982
 

Fall 2001 Courses:

• Math 430-001 and Math 635-001: Analytical and Computational Neuroscience
• Math 222-005: Differential Equations

Research Interests:
 

Mathematical and biophysical modeling of the electrical firing behavior of neurons.  Development of models based on electrophysiological data, analysis of models providing quantitative support of experimental hypotheses and yielding quantitative predictions of experimentally-testable behaviors.  Compartmental modeling of single neurons, modeling of small networks of neurons. Mathematical analysis of neural models using singular perturbation techniques, bifurcation theory and methods of nonlinear dynamics.  Parameter optimization of neural models.

• "Mechanisms for Propagation Failure in Discrete Reaction-Diffusion Systems",Physica,188A,(1992) 206-209. Co-Author Thomas Erneux.
• "Experimental and Numerical Study of Weakly Coupled Bistable Chemical Reactors", Journal of Physical Chemistry,98(1994) 6537-6540. Co-Authors Thomas Erneux and Jean-Pierrre Laplante.
• "Understanding Propagation Failure as a Slow Capture Near a Limit Point",SIAM Journal of Applied Mathematics,55 (1995) 1372-1389. Co-Author Thomas Erneux.
• "A Minimal, Compartmental Model for a Dendritic Origin of Bistability of Motoneuron Firing Patterns", Journal of Computational Neuroscience,2 (1995) 299-312. Co-Author John Rinzel.
• "Plateau Potentials in Bistable Motoneurons" in : Computational Neuroscience: Trends in Research 1995, J.Bower, ed. Academic Press, New York, 1996 pp. 47-52. Co-author John Rinzel.
• "Near-Threshold Bursting is Delayed by a Slow Passage near a Limit Point", SIAM Journal of Applied Mathematics, vol. 57, pp. 1406-1420, October 1997. Co-Authors Thomas W. Carr and Thomas Erneux.
• "A Compartmental Model of Vertebrate Motoneurons for Ca 2+- Dependent Spiking and Plateau Potentials Under Pharmacological Treatment",Journal of Neurophysiology", 78 (1998) pp. 3371-3385. Co-authors John Rinzel and Ole Kiehn.
• "A genetic algorithm study on the influence of dendritic plateau potentials on bistable spiking in motoneurons", Neurocomputing, vols. 26-27, pp. 69-78, 1999.
• "A mechanism for temporal control of the phase precession of hippocampal place cells", Journal of Computational Neuroscience, vol. 9,  pp. 5-30, 2000.  Co-authors Amitabha Bose and Michael Recce.
• "Hippocampal place cells and the generation of a temporal code", Neurocomputing, vols. 32-33, pp. 225-234, 2000.  Co-authors Michael Recce and Amitabha Bose.
• "Neural mechanisms for generating rate and temporal codes in model CA3 pyramidal cells", Journal of Neurophysiology, vol. 85, pp. 2432-2445, 2001.  Co-author Amitabha Bose.
• "Regulating firing rate of networks of pyramidal cells", Neurocomputing, vol. 38-40, pp. 497-504, 2001.  Co-author Amitabha Bose.

Models:

• XPP-AUT files for Pinsky-Rinzel CA3 Pyramidal cell and interneuron networks (shift and click links to download)
• booth_bose.ode
• network1.set
• network2.set
• network3.set
• network4.set