Biomolecular surface construction by PDE transform
From MaRDI portal
Publication:2896348
DOI10.1002/cnm.1469zbMath1244.92024OpenAlexW2165952775WikidataQ41981227 ScholiaQ41981227MaRDI QIDQ2896348
Qiong Zheng, Siyang Yang, Guo-Wei Wei
Publication date: 16 July 2012
Published in: International Journal for Numerical Methods in Biomedical Engineering (Search for Journal in Brave)
Full work available at URL: http://europepmc.org/articles/pmc3347862
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Biochemistry, molecular biology (92C40) Numerical methods for discrete and fast Fourier transforms (65T50) Computational methods for problems pertaining to biology (92-08)
Related Items (8)
Object-oriented persistent homology ⋮ A topological approach for protein classification ⋮ Geometric and electrostatic modeling using molecular rigidity functions ⋮ Multiscale geometric modeling of macromolecules. I: Cartesian representation ⋮ The de Rham-Hodge analysis and modeling of biomolecules ⋮ Atom Simplification and Quality T-mesh Generation for Multi-resolution Biomolecular Surfaces ⋮ High-order fractional partial differential equation transform for molecular surface construction ⋮ Multi-core CPU or GPU-accelerated Multiscale Modeling for Biomolecular Complexes
Uses Software
Cites Work
- Nonlinear total variation based noise removal algorithms
- Second-order Poisson-Nernst-Planck solver for ion transport
- Differential geometry based solvation model. I: Eulerian formulation
- Multiscale molecular dynamics using the matched interface and boundary method
- Differential geometry based solvation model II: Lagrangian formulation
- Differential geometry based multiscale models
- Geometric and potential driving formation and evolution of biomolecular surfaces
- Existence and uniqueness of weak solutions for a fourth-order nonlinear parabolic equation
- On the fictitious-domain and interpolation formulations of the matched interface and boundary (MIB) method
- Matched interface and boundary (MIB) method for elliptic problems with sharp-edged interfaces
- Strong solutions for the generalized Perona-Malik equation for image restoration
- Properties of higher order nonlinear diffusion filtering
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- Comparison of the discrete singular convolution algorithm and the Fourier pseudospectral method for solving partial differential equations
- Image recovery via total variation minimization and related problems
- Geodesic active contours
- Image sharpening by flows based on triple well potentials
- ADI schemes for higher-order nonlinear diffusion equations.
- Accurate evaluation of electrostatics for macromolecules in solution
- High-order FDTD methods via derivative matching for Maxwell's equations with material interfaces
- Three-dimensional matched interface and boundary (MIB) method for treating geometric singularities
- High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources
- Quality meshing of implicit solvation models of biomolecular structures
- Fourth-order partial differential equations for noise removal
- Partial differential equation transform-Variational formulation and Fourier analysis
- Optimal approximations by piecewise smooth functions and associated variational problems
- Feature-Oriented Image Enhancement Using Shock Filters
- Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time
- Surface smoothing and quality improvement of quadrilateral/hexahedral meshes with geometric flow
- A general framework for low level vision
- High-Order Total Variation-Based Image Restoration
- Analysis of Convolution Quadrature Applied to the Time-Domain Electric Field Integral Equation
- Traveling Wave Solutions of Fourth Order PDEs for Image Processing
- Low‐curvature image simplifiers: Global regularity of smooth solutions and Laplacian limiting schemes
- Level set methods: An overview and some recent results
- Evolution, implementation, and application of level set and fast marching methods for advancing fronts
This page was built for publication: Biomolecular surface construction by PDE transform
