Industrial and Applied Math
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Date Time |
Location | Speaker |
Title – click for abstract |
 |
03/15 5:00pm |
ZOOM |
Dr. Anne Shiu Texas A&M University |
Identifiability of linear compartment models
This talk focuses on the question of how identifiability of a mathematical
model, that is, whether parameters can be recovered from data, is related
to identifiability of its submodels. We look specifically at linear
compartmental models -- which arise in many applications including
epidemiology and pharmacokinetics -- and investigate whether
identifiability is preserved after adding or removing parts of the model.
In particular, we examine whether identifiability is preserved when an
input, output, edge, or leak is added or deleted. Our results harness
standard differential algebraic techniques, so that the question of
whether a model is (generically, locally) identifiable becomes equivalent
to asking whether the Jacobian matrix of a certain coefficient map,
arising from input-output equations, is generically full rank. Along the
way, we discover a new combinatorial formula for these input-output
equations, and also pose several conjectures. Additionally, we highlight
the contributions of four undergraduate and three graduate student
co-authors. |
 |
03/29 6:30pm |
Zoom |
Dr. Chak Shing Lee Lawrence Livermore National Lab |
TBA
TBA |
The organizer for this seminar is Peter Kuchment