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Graduate Student Seminar

Location

Mathematics/Psychology : 104

Date & Time

October 19, 2016, 11:00 am12:00 pm

Description

Session ChairMaria Deliyanni
DiscussantDr. J. Park

Speaker 1: Jon Graf
Title
Electrical Excitation, Calcium Signaling, and Mechanical Contraction in a Calcium Induced Calcium Release Model of a Heart Cell
Abstract
Calcium dysregulation is a significant cause of fatal cardiac arrythmias, but it is an incompletely understood phenomenon and difficult to predict. Cardiac calcium levels can be modeled as a system of reaction-diffusion partial differential equations linking the electrical excitation, calcium signaling, and mechanical contraction dynamics of the heart. Recent expansion of this calcium induced calcium release model included one-way coupling from the electrical excitation to the calcium signaling system. The addition of coupling from calcium signaling to electrical excitation and full coupling between calcium signaling and mechanical contraction occurred during the 2016 REU at UMBC. This talk will emphasize the development process and key features of the complete model.

Speaker 2: John Zylstra
Title
Agreement of Solutions to the Multivariate Behrens-Fisher Problem
Abstract
The multivariate Behrens-Fisher problem tests the equality of means in two normal populations with unequal covariance matrices.  We review the literature giving approximate tests for this hypothesis and verify the approximations using simulation studies.