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Direct X‐ray determination of the electron‐density profile of the nerve myelin membrane, with paracrystalline lattice distortions taken into account
Author(s) -
Gbordzoe M. K.,
Kreutz W.
Publication year - 1978
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s0021889878013692
Subject(s) - paracrystalline , electron density , membrane , deconvolution , distribution function , lattice (music) , molecular physics , convolution (computer science) , myelin , physics , tetrahedron , chemistry , electron , mathematical analysis , condensed matter physics , mathematics , crystallography , optics , quantum mechanics , biochemistry , central nervous system , machine learning , neuroscience , artificial neural network , acoustics , computer science , biology
Paracrystalline lattice distortions in the nerve myelin membrane system lead to the distortion of the Q function of the membrane stack and the Q 0 function of the unit cell. The Q function can be expressed as a convolution polynomial of the electron density distribution and the distance‐statistics functions between neighbouring membranes. Fitting this model Q function to the experimental Q function in a non‐linear least‐squares refinement procedure, one obtains the electron‐density profile of the myelin stack and the distance‐statistics functions. Elimination of the distance statistics permits the calculation of the undistorted Q 0 function, the deconvolution of which makes possible a unique determination of the electron density distribution of the unit cell.