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Principal Investigator/Program Director (Last, first,
middle):
BIOGRAPHICAL SKETCH
Provide the following information for the key personnel in the order listed for Form Page 2.
Photocopy this page or follow this format for each person.
NAME
POSITION TITLE
Jonathan Rubin
Assistant Professor
EDUCATION/TRAINING (Begin with baccalaureate or other initial professional education, such as nursing, and include postdoctoral training.)
INSTITUTION AND LOCATION
The College of William and Mary, Williamsburg, VA
Brown University, Providence RI
DEGREE
(if applicable)
YEAR(s)
B.S.
M.Sc.
Ph.D.
1987-1991
1991-1992
1992-1996
1999
Marine Biological Laboratory, Woods Hole, MA
FIELD OF STUDY
Mathematics
Applied Mathematics
Applied Mathematics
summer course,
computational neuroscience
RESEARCH AND PROFESSIONAL EXPERIENCE: Concluding with present position, list, in chronological order, previous employment, experience,
and honors. Include present membership on any Federal Government public advisory committee. List, in chronological order, the titles, all authors,
and complete references to all publications during the past three years and to representative earlier publications pertinent to this application. If the list
of publications in the last three years exceeds two pages, select the most pertinent publications. DO NOT EXCEED TWO PAGES.
A. Positions and Honors.
Professional Experience
1991-1996
Graduate Student
1996-1998
Zassenhaus Assistant
Professor
National Science
Foundation
Postdoctoral Fellow
Assistant Professor
1998-2000
2000-present
Division of Applied Mathematics, Brown University, Providence, RI (Advisor:
C.K.R.T. Jones)
Department of Mathematics, The Ohio State University, Columbus, OH
Department of Mathematics, The Ohio State University, Columbus, OH (Mentor:
David Terman)
Department of Mathematics, University of Pittsburgh
Honors and Awards
1991
Lord Botetourt Medal and The William and Mary Prize in Mathematics, The College of William and Mary
1998-2001
National Science Foundation Postdoctoral Research Fellowship
2001
University of Pittsburgh Faculty of Arts and Sciences Faculty Research Grant
University of Pittsburgh Central Research Development Fund Small Grants Award
National Science Foundation, Division of Mathematical Sciences Award DMS0108857
2001-2003
2001-2004
B. Selected peer-reviewed publications (in chronological order).
Rubin, JE, Terman, D. (2000) Geometric analysis of population rhythms in synaptically coupled neuronal networks, Neural
Computation, 12: 597-645.
Rubin, J, Terman, D. (2000) Analysis of clustered firing patterns in synaptically coupled networks of oscillators, Journal of
Mathematical Biology, 41: 513-545.
PHS 398 (REV. 4/98)
(Form Page 6) Page
Number pages consecutively at the bottom throughout the application. Do not use suffixes such as 3a, 3b..
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Rubin, J, Lee, DD, Sompolinsky, H (2001) Equilibrium properties of temporally asymmteric Hebbian plasticity, Physical Review
Letters, 86: 364-367.
Rubin, J. (2001) Steady states in an iterative model for spike-timing dependent plasticity, Network: Computation in Neural Systems,
12: 131-140.
Terman, D, Rubin, JE, Yew, AC, Wilson, CJ. (2001) Synchronous parkinsonian rhythms in a model for the indirect pathway of the
basal ganglia, Neurocomputing, 38-40: 973-982.
Rubin, J, Terman, D, Chow, C. (2001). Localized bumps of activity sustained by inhibition in a two-layer thalamic network, Journal of
Computational Neuroscience, 10: 313-331.
Terman, D, Rubin, JE, Yew, AC, Wilson, CJ. (2002) Activity patterns in a model for the subthalamopallidal network of the basal
ganglia, Journal of Neuroscience, 22, 2963-2976.
Osan, R, Rubin, J, Ermentrout B. (2002) Regular traveling waves in a one-dimensional network of theta neurons, SIAM Journal of
Applied Mathematics, 62, 1197-1221.
Rubin, J, Terman, D. (2002) Synchronized bursts and loss of synchrony among heterogeneous conditional oscillators, SIAM Journal
on Applied Dynamical Systems, 1, 146-174 .
Osan, R, Curtu, R, Rubin, J, Ermentrout, B. (2003) Traveling waves in a one-dimensional integrate-and-fire neural network, Journal
of Mathematical Biology, in press.
Rubin, J. (2003) A nonlocal eigenvalue problem for the stability of a traveling wave in a neuronal medium, Discrete and Continuous
Dynamical Systems – A, in press.
C. Research Support
Funded Projects Ongoing or Completed in the Last 3 Years

National Science Foundation Postdoctoral Research Fellowship, “Population Rhythms and Wave Propagation in Networks of
Coupled Neurons,” 1998-2001. In this work I used mathematical and numerical analysis to study the conditions for
synchronization, for development of localized activity, and for propagation of activity in networks of synaptically coupled
bursting neurons.

University of Pittsburgh Faculty of Arts and Sciences Faculty Research Grant, “An Analytical Study of Activity Patterns in
Heterogeneous Networks of Neurons,” summer 2001. This grant supported analysis of how the heterogeneity among
respiratory pacemaker cells can enhance the dynamic range over which a network of these cells generates synchronized bursts
of activity.

University of Pittsburgh Central Research Development Fund Small Grants Award, “Mathematical Modeling of Sustained,
Localized Activity in the Thalamus,” 2001-2003. My goal is to explain mechanisms that may underlie the experimental
observation of sustained, localized activity in thalamic networks lacking recurrent excitation, previously thought to be an
essential ingredient for such activity localization.

National Science Foundation, Division of Mathematical Sciences Award DMS0108857, “Oscillations and Waves in
Conductance-Based Neuronal Network Models,” 2001-2004. This award supports the study of how heterogeneity affects
synchronization and other firing patterns of bursting respiratory pacemaker cells; how localized activity can develop in a
neuronal network in the absence of localized recurrent excitation; and how the propagation of electrical activity along a
neuron may be affected by spatial structure.
PHS 398 (REV. 4/98)
(Form Page 6) Page
Number pages consecutively at the bottom throughout the application. Do not use suffixes such as 3a, 3b..
FF