Biomath Seminar
Fall 2010

Seminar meets W 3:35  in room 200 LOV.   Syllabus for the course.

Seminar schedule
In the last two decades, all parts of the modern audio and video production have moved to digital computer-based equipment. As a result, technicians in Hollywood no longer obsess over film dye lots and camera transport mechanisms, but are just as likely these days to be found discussing the virtue of dual-quaternion basis functions for smooth character animation.

This talk will illustrate the invasion of mathematics into the creative process by taking a few concrete examples. I will try to show the remarkable diversity of mathematical disciplines that are employed. While the techniques can generally be described as applied mathematics, they sometimes reveal some thorny theoretical issues as well.
Electroencephalographic (EEG) event-related potential (ERP) measures have attracted renewed interest in recent years.  This is due to several factors.  First, evidence now indicates that EEG and functional magnetic resonance imaging (fMRI) both index local field potential activity, EEG with greater time resolution and fMRI with greater spatial resolution.  Second, developments in source localization models now offer reasonable approaches to inferring neural sources underlying observed EEG/ERP activity.  Finally, new methods, including time-frequency (TF) analysis, now offer stronger approaches to disentangling neural activity that overlaps in time but not frequency.  The presented work utilizes these advances to better delineate cognitive and emotional processes generally, and to assess for disruptions in these processes related to impulse dysregulation (ID) psychopathology.  For example, reductions in the amplitude of the P300 ERP component are perhaps the most widely studied neurophysiological indicator of impulse dysregulation.  Unfortunately, standard time-domain measures have not produced useful decompositions of this activity to make clear inferences about disruptions in underlying cognitive, emotional, or neurophysiological processes.  P300 and related data will be presented from both community and incarcerated offender samples that vary in ID.  These analyses will show how multiple processes concomitant with P300 can be disentangled using TF approaches, providing a clearer assessment of ID-related activity.