Subekshya Bidari, Department of Applied Mathematics, ²ÊÃñ±¦µä Mathematical Biology Seminar for 16 November 2020 Honey bees make decisions regarding foraging and nest-site selection in groups ranging from hundreds to thousands of individuals. To effectively make these decisions bees need to communicate within a spatially distributed group. However,...
Nick Barendregt, Department of Applied Mathematics, ²ÊÃñ±¦µä Normative and Dynamic Urgency in Dynamic Decision Environments In uncertain and dynamic environments, humans must adapt their decision-making strategies to ensure accurate and timely choices. For example, in environments where the reward for a correct decision depends on time, individuals...
Lyndsey Wong, Department of Applied Mathematics, ²ÊÃñ±¦µä Mathematical Models for Wealth Dynamics The dynamics of wealth are not fully understood. In order to gain insight on these dynamics, we can use mathematical models. One application of wealth modeling is gentrification. Gentrification refers to the influx of income...
Zachary Kilpatrick, Department of Applied Mathematics, ²ÊÃñ±¦µä Heterogeneity improves speed and accuracy in social networks How does temporally structured private and social information shape collective decisions? To address this question we consider a clique of rational agents who independently accumulate private evidence that triggers a decision upon...
Erin Ellefsen, Department of Applied Mathematics, ²ÊÃñ±¦µä Nonlocal Models in Ecology Nonlocal models can be very useful to describe some phenomena in Ecology. However, they also pose both analytical and computational challenges. We investigate territory development of meerkats by studying a system of nonlocal continuum equations. We...
Lewis Baker, Department of Applied Mathematics, ²ÊÃñ±¦µä Inference of Diffusion Coefficients from Single Molecule Trajectories Single particle tracking (SPT) enables experimentalists to observe the movement of individual molecules in various experimental contexts. As this field advances, the questions posed by researchers require increasingly nuanced analyses of the...
Daniel Messenger, Department of Applied Mathematics, ²ÊÃñ±¦µä Data-Driven Model Selection using Weak SINDy with Applications to Spatiotemporal Problems in Biology The task of identifying governing equations to match observed phenomena is crucial to understanding and predicting the behavior of complex systems for which derivation of models from...
Sabina Altus, Department of Applied Mathematics, ²ÊÃñ±¦µä Asymptotic Behavior of a Highly-Structured Population as a Semigroup Perturbation Cyanobacteria are photosynthetic microorganisms with promising applications in renewable energy and agriculture as they are able to convert light energy into more stable forms of chemical energy, such as biomass,...
Dan Messenger, Department of Applied Mathematics, ²ÊÃñ±¦µä Aggregation-Diffusion Phenomena in Domains with Boundaries This talk relates to a class of mathematical models for the collective behaviour of autonomous agents, or particles, in general spatial domains, where particles exhibit pair-wise interactions and may be subject to environmental forces...
