Persistent homology for the quantitative prediction of fullerene stability

Molecular nonlinear dynamics and protein thermal uncertainty quantification

(2014) Kelin Xia et al.   CHAOS

Persistent homology analysis of protein structure, flexibility, and folding

(2014) Kelin Xia et al.   International Journal for Numerical Methods in Biomedical Engineering

Local curvature and stability of two-dimensional systems

(2014) Jie Guan et al.   PHYSICAL REVIEW B

Morse Theory for Filtrations and Efficient Computation of Persistent Homology

(2013) Konstantin Mischaikow et al.   DISCRETE & COMPUTATIONAL GEOMETRY

Choking Loops on Surfaces

(2013) Xin Feng et al.   IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS

Multiscale multiphysics and multidomain models—Flexibility and rigidity

(2013) Kelin Xia et al.   JOURNAL OF CHEMICAL PHYSICS

MULTISCALE, MULTIPHYSICS AND MULTIDOMAIN MODELS I: BASIC THEORY

(2013) GUO-WEI WEI   JOURNAL OF THEORETICAL & COMPUTATIONAL CHEMISTRY

Stochastic model for protein flexibility analysis

(2013) Kelin Xia et al.   PHYSICAL REVIEW E

Reeb Graphs: Approximation and Persistence

(2012) Tamal K. Dey et al.   DISCRETE & COMPUTATIONAL GEOMETRY

Simulation-Based Joint Estimation of Body Deformation and Elasticity Parameters for Medical Image Analysis

(2012) Huai-Ping Lee et al.   IEEE TRANSACTIONS ON MEDICAL IMAGING

Variational Multiscale Models for Charge Transport

(2012) Guo-Wei Wei et al.   SIAM REVIEW

A Topological Paradigm for Hippocampal Spatial Map Formation Using Persistent Homology

(2012) Y. Dabaghian et al.   PLoS Computational Biology

Topology-Based Kernels With Application to Inference Problems in Alzheimer's Disease

(2011) Deepti Pachauri et al.   IEEE TRANSACTIONS ON MEDICAL IMAGING

Differential Geometry Based Multiscale Models

(2010) Guo-Wei Wei   BULLETIN OF MATHEMATICAL BIOLOGY

Differential geometry based solvation model I: Eulerian formulation

(2010) Zhan Chen et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Curvature-induced excess surface energy of fullerenes: Density functional theory and Monte Carlo simulations

(2010) David Holec et al.   PHYSICAL REVIEW B

Topology and data

(2009) Gunnar Carlsson   BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY

Topological methods for exploring low-density states in biomolecular folding pathways

(2009) Yuan Yao et al.   JOURNAL OF CHEMICAL PHYSICS

Persistent homology of complex networks

(2009) Danijela Horak et al.   JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

Computing geometry-aware handle and tunnel loops in 3D models

(2008) Tamal K. Dey et al.   ACM TRANSACTIONS ON GRAPHICS