The Geometry of Multiscale Models: Identifiability, Reparameterization, Comparisons, and Parameter Space Exploration
Abstract
This young investigator project aims to incorporate numerical techniques arising from the geometric study of nonlinear polynomial systems into the development, analysis, and simulations associated with multiscale models. This project will proceed in 5 major phases: (1) Use the geometry associated with nonlinear maps to determine the identifiability of a model via numerical linear algebra; (2) Develop a numeric-symbolic algorithm for computing identifiable reparameterizations of models; (3) Use numerical techniques for simplifying models, e.g., through the elimination of state variables, and comparing models of the same phenomenon; (4) Develop a numerical approach for exploring the parameter space of a model, e.g., locating regions having multistability; and (5) Create an open-source implementation of these newly developed algorithms.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Jan 12, 2017
- Source ID
- W911NF1510219
Entities
People
- Jonathan D Hauenstein
Organizations
- Army Contracting Command
- United States Army
- University of Notre Dame