Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Video

Updated: May 22, 2026

Functional Surface-immobilization of Genes Using Multistep Strand Displacement Lithography
11:05

Functional Surface-immobilization of Genes Using Multistep Strand Displacement Lithography

Published on: October 25, 2018

Biomolecular surface construction by PDE transform.

Qiong Zheng1, Siyang Yang, Guo-Wei Wei

  • 1Department of Mathematics, Michigan State University, MI 48824, USA.

International Journal for Numerical Methods in Biomedical Engineering
|May 15, 2012
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Cellular Senescence and the SASP in HFpEF: Pathogenic Mechanisms and Therapeutic Targeting.

International journal of molecular sciences·2026
Same author

Correlated clustering and projection for dimensionality reduction.

Machine learning: science and technology·2026
Same author

Physical Activity interventions on health-related quality of life (HR-QoL) in major depressive disorder (MDD): a systematic review and meta-analysis of randomized controlled trials.

Frontiers in psychiatry·2026
Same author

Value of dual-energy CT parameters DER and DEI in predicting calcium-containing urinary stones and differentiating pure calcium oxalate monohydrate.

American journal of translational research·2026
Same author

A meta-analysis of the incidence proportion of obesity and associated risk factors in patients with schizophrenia.

Frontiers in psychiatry·2026
Same author

VARIANT: Web Server for Decoding and Analyzing Viral Mutations at Genome and Protein Levels.

ArXiv·2026
Same journal

Dynamic Simulation of Male Bladder Outlet Obstruction: Flow Characteristics and Novel Quantitative Indicators.

International journal for numerical methods in biomedical engineering·2026
Same journal

Path Planning of Flexible Needle Based on Improved Particle Swarm Optimization Algorithm.

International journal for numerical methods in biomedical engineering·2026
Same journal

A Fully Automated Pipeline for Vertebral Structural Assessment From Medical Images. Application Under Metastatic Conditions.

International journal for numerical methods in biomedical engineering·2026
Same journal

Evaluation of Degradable Mg-Alloy Implants for Femoral Neck Fractures: Subject-Specific Finite Element Analysis Integrated With Bone Remodelling.

International journal for numerical methods in biomedical engineering·2026
Same journal

Patient-Specific In Silico Prediction of Outcomes of Partial Continuous-Flow LVAD Treatment in Peripartum Cardiomyopathy.

International journal for numerical methods in biomedical engineering·2026
Same journal

The Impact of Rotational Speed and Descending Aortic Flow on Hemodynamics of a Modular Intra-Aortic Entrainment Pump: A Numerical Study.

International journal for numerical methods in biomedical engineering·2026
See all related articles

This study introduces a novel framework for generating biomolecular surfaces using the partial differential equation (PDE) transform. This efficient method offers robust, stable, and multiresolution surface visualization for complex biological structures.

Area of Science:

  • Computational biology
  • Biophysics
  • Image processing

Background:

  • The partial differential equation (PDE) transform is a recent technique for data decomposition.
  • High-order PDEs offer control over spectral distribution and spatial resolution.
  • Efficient surface generation is crucial for biomolecular analysis.

Purpose of the Study:

  • To develop a new framework for biomolecular surface generation using the PDE transform.
  • To validate the efficiency and robustness of the proposed method.
  • To explore multiresolution surface visualization capabilities.

Main Methods:

  • A variational derivation of high-order PDE transforms was developed.
  • Fast Fourier Transform (FFT) was employed for efficient PDE transform computation.
Keywords:
PDE transformPoisson equationmolecular surface generationsolvation analysistotal variationvirus capsid

More Related Videos

Patterning Bioactive Proteins or Peptides on Hydrogel Using Photochemistry for Biological Applications
09:19

Patterning Bioactive Proteins or Peptides on Hydrogel Using Photochemistry for Biological Applications

Published on: September 15, 2017

Covalent Binding of BMP-2 on Surfaces Using a Self-assembled Monolayer Approach
10:23

Covalent Binding of BMP-2 on Surfaces Using a Self-assembled Monolayer Approach

Published on: August 26, 2013

Related Experiment Videos

Last Updated: May 22, 2026

Functional Surface-immobilization of Genes Using Multistep Strand Displacement Lithography
11:05

Functional Surface-immobilization of Genes Using Multistep Strand Displacement Lithography

Published on: October 25, 2018

Patterning Bioactive Proteins or Peptides on Hydrogel Using Photochemistry for Biological Applications
09:19

Patterning Bioactive Proteins or Peptides on Hydrogel Using Photochemistry for Biological Applications

Published on: September 15, 2017

Covalent Binding of BMP-2 on Surfaces Using a Self-assembled Monolayer Approach
10:23

Covalent Binding of BMP-2 on Surfaces Using a Self-assembled Monolayer Approach

Published on: August 26, 2013

  • The method was tested on 2D and 3D examples, including proteins and a virus capsid.

    • Main Results:

    • The PDE transform method demonstrated computational efficiency compared to standard approaches.
    • Analysis of biomolecular surface indicators (surface area, volume, solvation free energy, electrostatic potential) showed robust performance.
    • Second-order convergence was observed for electrostatic potential and concentrations using the Poisson-Nernst-Planck equations.

    Conclusions:

    • The proposed PDE transform-based surface generation is a robust, stable, and efficient approach for biomolecular modeling.
    • The method provides multiresolution analysis for surface visualization, applicable to complex structures like virus capsids.
    • This framework advances biomolecular surface generation in Cartesian meshes.