Supported Applications


  • Description

    (DENsity from Solution Scattering) an algorithm used for calculating ab initio electron density maps directly from solution scattering data. DENSS implements a novel iterative structure factor retrieval algorithm to cycle between real space density and reciprocal space structure factors, applying appropriate restraints in each domain to obtain a set of structure factors whose intensities are consistent with experimental data and whose electron density is consistent with expected real space properties of particles.

    DENSS utilizes the NumPy Fast Fourier Transform for moving between real and reciprocal space domains. Each domain is represented by a grid of points (Cartesian), N x N x N. N is determined by the size of the system and the desired resolution. The real space size of the box is determined by the maximum dimension of the particle, D, and the desired sampling ratio. Larger sampling ratio results in a larger real space box and therefore a higher sampling in reciprocal space (i.e. distance between data points in q). Smaller voxel size in real space corresponds to higher spatial resolution and therefore to larger q values in reciprocal space.

  • Primary Citation*

    T. D. Grant. 2018. Ab initio electron density determination directly from solution scattering data. Nature Methods. 15: 191-193.

    • *Full citation information available through

  • Webinars

    Topic: DENSS: Ab Initio Electron Density Maps from Biological SAXS Data
    Presenter: Thomas Grant, Ph.D., Research Assistant Professor, University of Buffalo, Hauptman-Woodward Institute

    Host: Jason Key
    Recorded on: January 22, 2019

    Summary: SAXS is an experimental technique used to analyze the molecular structures of a wide variety of biological and non-biological samples in solution. Here I present a method for calculating electron density maps directly from solution scattering data. After introducing the approach, I will demonstrate a brief tutorial of the software DENSS (DENsity from Solution Scattering).

  • Default Versions

    Linux 64:  20190419
    OS X INTEL:  20190419

  • Other Available Versions

      Linux 64:

      20190307, 20180912
    • OS X INTEL:

      20190307, 20180912
  • Developers

    Thomas Grant.