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math.SP2024★ 1 cited
A Novel Use of Pseudospectra in Mathematical Biology: Understanding HPA Axis Sensitivity
Catherine Drysdale, Matthew J. Colbrook
The Hypothalamic-Pituitary-Adrenal (HPA) axis is a major neuroendocrine system, and its dysregulation is implicated in various diseases. This system also presents interesting mathe…
math.DS2024★ 4 cited
Rigged Dynamic Mode Decomposition: Data-Driven Generalized Eigenfunction Decompositions for Koopman Operators
Matthew J. Colbrook, Catherine Drysdale, Andrew Horning
We introduce the Rigged Dynamic Mode Decomposition (Rigged DMD) algorithm, which computes generalized eigenfunction decompositions of Koopman operators. By considering the evolutio…