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AM Seminar: Bayesian uncertainty quantification for particle-based simulations

Speaker Name: 
Anastasios Matzavinos
Speaker Title: 
Assistant Professor, Division of Applied Mathematics
Speaker Organization: 
Brown University
Start Time: 
Monday, May 4, 2020 - 4:00pm
End Time: 
Monday, May 4, 2020 - 5:00pm
Location: 
via Zoom presentation
Organizer: 
Marcella Gomez

Abstract:

A number of problems of interest in applied mathematics and biology involve the quantification of uncertainty in computational and real-world models. A recent approach to Bayesian uncertainty quantification using transitional Markov chain Monte Carlo (TMCMC) is extremely parallelizable and has opened the door to a variety of applications which were previously too computationally intensive to be practical. In this talk, we first explore the machinery required to understand and implement Bayesian uncertainty quantification using TMCMC. We then describe dissipative particle dynamics, a computational particle simulation method which is suitable for modeling biological structures on the subcellular level, and develop an example simulation of a lipid membrane in fluid. Finally, we apply the algorithm to a basic model of uncertainty in our lipid simulation, effectively recovering a target set of parameters (along with distributions corresponding to the uncertainty) and demonstrating the practicality of Bayesian uncertainty quantification for complex particle simulations.

Bio:

Anastasios Matzavinos is a faculty member of the Division of Applied Mathematics at Brown University. His research interests revolve around applied mathematics and computational biology with a special emphasis on data-driven modeling and Bayesian approaches to model selection. He is the recipient of several grants and awards, including an NSF CAREER award.

*Zoom link:  https://ucsc.zoom.us/j/91651731908

Event Type: 
Event