61 citations · 121 across the 8 of their papers we have counts for
3 papers · 1 filter
Estimating Time-Varying Applied Current in the Hodgkin-Huxley Model
Kayleigh Campbell, Laura Staugler, Andrea Arnold
The classic Hodgkin-Huxley model is widely used for understanding the electrophysiological dynamics of a single neuron. While applying a constant current to the system results in a…
Practical Identifiability and Uncertainty Quantification of a Pulsatile Cardiovascular Model
Andrew D. Marquis, Andrea Arnold, Caron Dean +2
Mathematical models are essential tools to study how the cardiovascular system maintains homeostasis. The utility of such models is limited by the accuracy of their predictions, wh…
An approach to periodic, time-varying parameter estimation using nonlinear filtering
Andrea Arnold, Alun L. Lloyd
Many systems arising in biological applications are subject to periodic forcing. In these systems the forcing parameter is not only time-varying but also known to have a periodic s…