Quasi-Monte Carlo Methods for Uncertainty Quantification of Tumor Growth Modeled by a Parametric Semilinear Parabolic Reaction-diffusion Equation
Abstract. We study the application of a quasi-Monte Carlo (QMC) method to a class of semilinear parabolic reaction-diffusion partial differential equations used to model tumor growth. Mathematical models of tumor growth are largely phenomenological in nature, capturing infiltration of the tumor into surrounding healthy...