Deconstructing the Integrated Oscillator Model for Pancreatic Beta-Cells Electrical bursting oscillations in the beta-cells of pancreatic islets have been a focus of investigation for more than fifty years. This has been aided by mathematical models, which are descendants of the pioneering Chay-Keizer model that was published 40 years ago. This presentation describes the key biophysical
Stochastic switching of delayed feedback suppresses oscillations in genetic regulatory systems Delays and stochasticity have both served as crucially valuable ingredients in mathematical descriptions of control, physical and biological systems. In this work, we investigate how explicitly dynamical stochasticity in delays modulates the effect of delayed feedback. To do so, we consider a hybrid model
Registration Problems and Applications to Biomathematics I will discuss some mathematical approaches to various registration problems, where one seeks to align points from different spaces. These include matching points between different metric spaces or registering graphs or hypergraphs with different node sets. Along the way, I'll talk about motivating problems that come from biology, such
