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 Concept Videos

Mass Spectrometry: Complex Analysis01:21

Mass Spectrometry: Complex Analysis

2.1K
Mass spectrometry is an important technique for the identification of pure compounds. However, it has some limitations for the analysis of complex mixtures, often due to excessive fragmentation making the spectrum too complicated to decipher. Mass spectrometry can be combined with suitable separation methods in sequence, forming hyphenated methods, which are useful in the analysis of complex mixtures.
GC–MS is a powerful hyphenated method commonly used in forensics and environmental...
2.1K

You might also read

Related Articles

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

Sort by
Same author

Thick-panel origami structures forming seamless surfaces.

Nature communications·2025
Same author

Group-theoretic analysis of symmetry-preserving deployable structures and metamaterials.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2024
Same author

Rate of Entropy Production in Stochastic Mechanical Systems.

Entropy (Basel, Switzerland)·2022
Same author

A Mosquito Pick-and-Place System for PfSPZ-based Malaria Vaccine Production.

IEEE transactions on automation science and engineering : a publication of the IEEE Robotics and Automation Society·2021
Same author

Continuous body 3-D reconstruction of limbless animals.

The Journal of experimental biology·2021
Same author

Black-Scholes Theory and Diffusion Processes on the Cotangent Bundle of the Affine Group.

Entropy (Basel, Switzerland)·2020

Related Experiment Video

Updated: Apr 5, 2026

Online Size-exclusion and Ion-exchange Chromatography on a SAXS Beamline
11:09

Online Size-exclusion and Ion-exchange Chromatography on a SAXS Beamline

Published on: January 5, 2017

18.2K

Computational Analysis of SAXS Data Acquisition.

Hui Dong1, Jin Seob Kim2, Gregory S Chirikjian2

  • 11 Fuzhou University , School of Mechanical Engineering and Automation, Fuzhou, China .

Journal of Computational Biology : a Journal of Computational Molecular Cell Biology
|August 6, 2015
PubMed
Summary
This summary is machine-generated.

This study introduces a mathematical model for calculating the pair distribution function from biomolecular structures using small-angle x-ray scattering (SAXS). An efficient algorithm is developed for computing integrals essential for structural analysis.

Keywords:
SAXSfast evaluation of integralspair distribution functionrecurrence relationsspherical-Bessel functions

More Related Videos

Analysis of SEC-SAXS data via EFA deconvolution and Scatter
10:59

Analysis of SEC-SAXS data via EFA deconvolution and Scatter

Published on: January 28, 2021

10.1K
Structural Studies of Macromolecules in Solution using Small Angle X-Ray Scattering
07:19

Structural Studies of Macromolecules in Solution using Small Angle X-Ray Scattering

Published on: November 5, 2018

13.6K

Related Experiment Videos

Last Updated: Apr 5, 2026

Online Size-exclusion and Ion-exchange Chromatography on a SAXS Beamline
11:09

Online Size-exclusion and Ion-exchange Chromatography on a SAXS Beamline

Published on: January 5, 2017

18.2K
Analysis of SEC-SAXS data via EFA deconvolution and Scatter
10:59

Analysis of SEC-SAXS data via EFA deconvolution and Scatter

Published on: January 28, 2021

10.1K
Structural Studies of Macromolecules in Solution using Small Angle X-Ray Scattering
07:19

Structural Studies of Macromolecules in Solution using Small Angle X-Ray Scattering

Published on: November 5, 2018

13.6K

Area of Science:

  • Biophysics
  • Structural Biology
  • Computational Biology

Background:

  • Small-angle X-ray scattering (SAXS) is a key experimental technique for determining the structure of large biomolecular complexes.
  • The pair distribution function, representing inter-point distances within a complex, is derivable from SAXS data under specific conditions.

Purpose of the Study:

  • To develop a mathematical model for calculating the pair distribution function from a known biomolecular density.
  • To analyze the computational complexity of these calculations.
  • To facilitate the inverse problem of reconstructing 3D structures from SAXS-derived pair distribution functions.

Main Methods:

  • Development of a forward mathematical model to compute the pair distribution function.
  • Analysis of computational complexity for the forward model.
  • Derivation and efficient recursive computation of integrals involving products of three spherical-Bessel functions.

Main Results:

  • A mathematical model for calculating the pair distribution function from known densities was established.
  • The computational complexity of the forward model was analyzed.
  • An efficient recursive algorithm for computing relevant spherical-Bessel function integrals was developed.

Conclusions:

  • The developed model and algorithm are crucial for advancing the computational analysis of SAXS data.
  • Efficient computation of the forward model is a critical step towards solving the inverse problem in SAXS-based structural biology.
  • This work provides a foundation for improved 3D structure determination of biomolecular complexes.