most citedPredictive Digital Twins with Quantified Uncertainty for Patient-Specific Decision Making in Oncology

2 citations · 3 across the 4 of their papers we have counts for

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math.NA2025

Quasi-Monte Carlo methods for uncertainty quantification of tumor growth modeled by a parametric semi-linear parabolic reaction-diffusion equation

Alexander D. Gilbert, Frances Y. Kuo, Dirk Nuyens +3

We study the application of a quasi-Monte Carlo (QMC) method to a class of semi-linear parabolic reaction-diffusion partial differential equations used to model tumor growth. Mathe…

math.NA2024

Bayesian learning with Gaussian processes for low-dimensional representations of time-dependent nonlinear systems

Shane A. McQuarrie, Anirban Chaudhuri, Karen E. Willcox +1

This work presents a data-driven method for learning low-dimensional time-dependent physics-based surrogate models whose predictions are endowed with uncertainty estimates. We use…