5 papers
deFOREST: Fusing Optical and Radar satellite data for Enhanced Sensing of Tree-loss
Julio Enrique Castrillon-Candas, Hanfeng Gu, Caleb Meredith +4
In this paper we develop a deforestation detection pipeline that incorporates optical and Synthetic Aperture Radar (SAR) data. A crucial component of the pipeline is the constructi…
Uncertainty quantification of receptor ligand binding sites prediction
Nanjie Chen, Dongliang Yu, Dmitri Beglov +2
Recent advancements in protein docking site prediction have highlighted the limitations of traditional rigid docking algorithms, like PIPER, which often neglect critical stochastic…
Uncertainty quantification and complex analyticity of the nonlinear Poisson-Boltzmann equation for the interface problem with random domains
Trevor Norton, Jie Xu, Brian Choi +2
The nonlinear Poisson-Boltzmann equation (NPBE) is an elliptic partial differential equation used in applications such as protein interactions and biophysical chemistry (among many…
Analytic regularity of strong solutions for the complexified stochastic non-linear Poisson Boltzmann Equation
Brian Choi, Jie Xu, Trevor Norton +2
Semi-linear elliptic Partial Differential Equations (PDEs) such as the non-linear Poisson Boltzmann Equation (nPBE) is highly relevant for non-linear electrostatics in computationa…
Existence of Strong Solution for the Complexified Non-linear Poisson Boltzmann Equation
Brian Choi, Jie Xu, Trevor Norton +2
We prove the existence and uniqueness of the complexified Nonlinear Poisson-Boltzmann Equation (nPBE) in a bounded domain in . The nPBE is a model equation in nonline…