Jonathan E. Rubin, PhD

Professor and Chair, Department of Mathematics


302 Thackeray Hall
(412) 624-8361
F: (412) 624-8397
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PhD, Brown University (Division of Applied Mathematics) (1996)


Theoretical and computational modeling of dynamics in neuronal networks.

Research Summary

Dr. Rubin's research focuses on computational modeling of networks of coupled neurons. He is particularly interested in how intrinsic cellular properties combine with synaptic properties, such as plasticity and architecture of connections, to generate neuronal activity patterns. Dr. Rubin is currently using simulations and theoretical analysis to elucidate how the modulation of such patterns contributes to movement disorders, such as Parkinson's disease, and to pacemaking, as occurs in respiratory rhythms. He also considers more abstract questions of how various network components interact to produce complicated dyamic patterns such as bursts and mixed-mode oscillations, often involving multiple timescales. 

Summer Undergraduate Research Program



V.L. Corbit*, T.C. Whalen*, K.T. Zitelli, S.Y. Crilly, J.E. Rubin**, A.H. Gittis**, "Pallidostriatal projections promote beta oscillations in a dopamine-depleted biophysical network model", J. Neurosci., 36: 5556-5571, 2016.

B. Bacak, T. Kim, J.C. Smith, J.E. Rubin, and I.A. Rybak, "Mixed-mode oscillations and population bursting in the pre-Botzinger complex", eLife, 5 (2016): e13403. Access online.

B. Letson and J.E. Rubin, "A new frame for an old (phase) portrait: finding rivers and other flow features in the plane", SIAM. J. Appl. Dyn. Syst., 17(4), 2414-2445, 2018.

J.E. Rubin, "Computational models of basal ganglia dysfunction: the dynamics is in the details", Curr. Opin. Neurobiology, 46:127-135, 2017. 
J. Ausborn, A.C. Snyder, N.A. Shevtsova, I.A. Rybak, and J.E. Rubin, "State-dependent rhythmogenesis and frequency control in a half-center locomotor CPG", J. Neurophysiol., 119:96-117, 2018.

Locally, Dr. Rubin collaborates with Drs. Robert Turner (Pitt, Neurobiology), Aryn Gittis (CMU, Biology), and Tim Verstynen (CMU, Psychology) on various aspects of basal ganglia dynamics.