no code implementations • 29 Sep 2023 • Guillermo Lorenzo, Jon S. Heiselman, Michael A. Liss, Michael I. Miga, Hector Gomez, Thomas E. Yankeelov, Alessandro Reali, Thomas J. R. Hughes
We further show that coupling our tumor forecasts with this PCa risk classifier enables the early identification of PCa progression to higher-risk disease by more than one year.
no code implementations • 26 Sep 2022 • Dhruv Patel, Deep Ray, Michael R. A. Abdelmalik, Thomas J. R. Hughes, Assad A. Oberai
The application of the VarMiON to a canonical elliptic PDE and a nonlinear PDE reveals that for approximately the same number of network parameters, on average the VarMiON incurs smaller errors than a standard DeepONet and a recently proposed multiple-input operator network (MIONet).
no code implementations • 24 Feb 2021 • Guillermo Lorenzo, David A. Hormuth II, Angela M. Jarrett, Ernesto A. B. F. Lima, Shashank Subramanian, George Biros, J. Tinsley Oden, Thomas J. R. Hughes, Thomas E. Yankeelov
Current clinical decision-making in oncology relies on averages of large patient populations to both assess tumor status and treatment outcomes.
no code implementations • 17 Dec 2020 • Kendrick M. Shepherd, René R. Hiemstra, Thomas J. R. Hughes
In this work, a surface quadrilateral layout is alternatively characterized as a special immersion of a cut representation of the surface into the Euclidean plane.
Computational Geometry Differential Geometry 53-08, 53Z30, 57R15, 57Z20 I.3.5