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Speaker: Kit Fynaardt, PhD student, University of Iowa

Title: An Introduction to Delay Differential Equations and Applications to the Leinheiser et al. MitochondrialFission Model

Abstract: A Delay Differential Equation (DDE) is a Differential Equation wherein one term is evaluated at a time previous to another term. In this talk I will introduce DDEs and several variants: distributed delay, time dependent delay, and state dependent delay. Then, I will introduce Dr. Leinheiser's Mitochondrial Fission Model and some of the pathological elements of it that can be allivated by a transformation to a DDE. However, the DDE produced is one where the delay itself is described by an ODE coupled to the rest of the system. In my research I was unable to find any theory on such a DDE, or anyone who had studied such things before. I will comment on these systems and my ongoing researching into their existence, uniqueness, and stability properties.