WG/GLIMPRINT Seminars: Morrison, Model Reduction Methods and Fidelity, April 4, 2024

Highly reduced models of random ODEs: A framework, some examples, and analysis
Rebecca Morrison, PhD
University of Colorado

Consider a modeler's job when tasked to describe a system of interacting species, such as compartmental models in epidemiology: in many cases, interaction coefficients are unknown, relevant data are unavailable, inclusion of all possible species is computationally infeasible, etc. Thus, the modeler will have to model the system with just a small subset of the active species. This would seem to make the modeler's job extremely difficult, or even perhaps a lost cause. Surprisingly, though, we have examined several cases of random nonlinear ordinary differential equations where this type of extreme reduction — along with a simple, data-driven, embedded enrichment operator — still results in descriptive and predictive models. In this talk, I'll review a framework for calibration and validation of these coupled systems, show a few specific numerical examples, and give some analysis that supports such reductions.

For more information see: https://rebeccaem.github.io/publications/
Quantifying Model Form Uncertainty in Spring-Mass-Damper Systems: https://link-springer-com.proxyiub.uits.iu.edu/chapter/10.1007/978-3-031-37003-8_3

*Contents*
00:00 - Introduction
15:27 - Highly reduced models of random ODEs: A framework, some examples, and analysis
51:14 - Questions and Discussion

Moderator: James A. Glazier, PhD, Indiana University, Bloomington

For the slides in this video visit: https://drive.google.com/file/d/1cdRlWUqzJ1mOSH5SApxeJ8DPYOgTwRAe/view?usp=drive_link

If you found this video useful, please check out our other videos on computational modeling, infection and immunology: https://youtube.com/playlist?list=PLiEtieOeWbMKh9VcQoinSwODcSZKMTGat

Please consider joining our IMAG/MSM WG on Multiscale Modeling and Viral Pandemics: https://www.imagwiki.nibib.nih.gov/content/msm-viral-pandemics-meetings

Please also consider joining the Global Alliance for Immune Prediction and Intervention: http://glimprint.org/

Видео WG/GLIMPRINT Seminars: Morrison, Model Reduction Methods and Fidelity, April 4, 2024 канала James Glazier