57 citations · 148 across the 8 of their papers we have counts for
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physics.comp-ph2022★ 2 cited
Studying First Passage Problems using Neural Networks: A Case Study in the Slit-Well Microfluidic Device
Andrew M. Nagel, Martin Magill, Hendrick W. de Haan
This study presents deep neural network solutions to a time-integrated Smoluchowski equation modeling the mean first passage time of nanoparticles traversing the slit-well microflu…
physics.comp-ph2020★ 5 cited
Neural Network Solutions to Differential Equations in Non-Convex Domains: Solving the Electric Field in the Slit-Well Microfluidic Device
Martin Magill, Andrew M. Nagel, Hendrick W. de Haan
The neural network method of solving differential equations is used to approximate the electric potential and corresponding electric field in the slit-well microfluidic device. The…