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| Dr. Andrey Shilnikov Lab Head |
Sajiya Jaili,
PhD student with Dr. Igor Belykh |
Jeremy Wojcik |
Aaron Keley PhD student |
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| Tingli Xing, PhD student |
Victor Bailey BS student, |
Joseph Youker BS student, B&B Summer Fellowship NSF REU support |
Justus Schwabedal, PhD, Visiting Scholar, |
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Kristie Young | Enis Gunay, PhD |
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Alumni |
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| Matt Brooks MS student, 2009 |
Paul Channell Jr. MS Student, 1976-2011 |
Rene Gordon BS student, 2011 |
O.Burilko, Postdoc Visiting Scholar, Plymouth UK |
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| Summer Hu PhD student, U Maryland |
Dane Allen, BS student NSF REU support |
Emmanuel Thomas BS student B&B Fellowship |
Congratulations to Sajiya and Jeremy - 2012 PhD graduates!
Dynamics of individual neurons
Deterministic description of oscillatory activities in neurons is given within the framework of theory of dynamical systems and bifurcations. Mathematically, the corresponding, conductance based model belongs to a class of dynamical systems with several distinct time scales. Dr. Shilnikov’s research group focuses its research on the origin of complex behavioral dynamics and preceding bifurcation sequences in neuronal models. We develop the geometric tools of slow-fast systems and the advanced, analytical and computational technique of the global bifurcation theory to model and understand in-depth the nonlinear dynamics of single neurons.
Polyrhythms and Multistability in CPG networks
Bursting is a manifestation of the slow-fast dynamics observed in neuroscience including central pattern generators controlling animal locomotion. The emergence of synchronous rhythms in neural networks is closely related to temporal characteristics of the coupled neurons due to both their intrinsic properties and types of synaptic coupling, inhibitory and excitatory. When cells are near the transition edge between bursting and tonic spiking, the dynamics of the network become highly sensitive to small perturbations due to changes in the architecture of the network and of strength of synaptic coupling. Research of Dr. Shilnikov’s group focuses on synergetic mechanisms of dynamical designation of pacemakers on a network endowing it with flexible synchronization properties leading to the multistability of coexistent bursting rhythms.
Prospective PhD candidates, MS and BS students in Mathematical and Computational Neuroscience, Dynamical Systems and Applied Math: contact Dr Shilnikov
Jalil S., Belykh I and Shilnikov A.
Channell P., Fuwape I., Neiman A., and Shilnikov A.L., Variability of bursting patterns in a neuronal model in the presence of
noise, 2009, J. Computational Neuroscience, 27(3), 527-542, [