Date: Friday, March 15, 2013
Speaker: Mark Kramer, Assistant Professor of Mathematics, Boston University
Location: Maxwell-Dworkin G125, 33 Oxford Street, Cambridge, MA 02138
Time: Informal lunch with speaker, 12:30pm. Talk, 1:00pm.
Title: Multi-scale Seizure Dynamics
Abstract:
Epilepsy--recurrent, unprovoked seizures--is a common brain disease, affecting 1% of the
world’s population. Seizures are typically identified as abnormal patterns in brain
voltage activity. Many open questions surround epilepsy and seizures, and identifying the
answers promises new insights for treatment and prevention. In this talk, I will consider
brain voltage activity during seizures as observed at multiple spatial scales. I will show
how techniques from mathematics and statistics can be used to characterize these data,
identify common features, and connect observed brain activity to mechanisms. One specific
open question is this: Why do seizures spontaneously terminate? Analysis of human brain
electrical activity at various spatial scales suggests a common dynamical mechanism: a
discontinuous critical transition or bifurcation. Prolonged seizures (status epilepticus)
repeatedly approach, but do not cross, the critical transition. I will consider a
computational model to demonstrate that alternative stable attractors, representing the
seizure and post-seizure states, emulate the observed brain dynamics. These results also
suggest a dynamical understanding of status epilepticus. Seizure dynamics thus provide an
accessible system for studying critical transitions in nature.
Speaker bio:
Mark Kramer received his PhD in applied physics from the University of California,
Berkeley in 2005. Following three years as a postdoctoral researcher, he was awarded a
Career Award at the Scientific Interface from the Burroughs Welcome Fund. In 2009 he
became an assistant professor in the Department of Mathematics and Statistics at Boston
University. His research is focused on the application of ideas and techniques from
mathematics and physics to problems in neuroscience, typically with clinical focus. He
maintains numerous interdisciplinary collaborations with clinical, medical, and
computational researchers throughout Boston and is always interested in new
interdisciplinary research problems and approaches.
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