Additive scaling law for structural organization of chromatin in chicken erythrocyte nuclei

Journal article (2017)

Authors

E.G. Iashina Petersburg Nuclear Physics Institute (PNPI), St. Petersburg State University
E. Velichko RST/Neutron and Positron Methods in Materials - AS
M.V. Filatov Petersburg Nuclear Physics Institute (PNPI)
W.G. Bouwman RST/Neutron and Positron Methods in Materials - AS
C.P. Duif RST/Neutron and Positron Methods in Materials - AS
A. Brulet Leon Brillouin Laboratory
S. V. Grigoriev Petersburg Nuclear Physics Institute (PNPI), St. Petersburg State University
Research Group
RST/Neutron and Positron Methods in Materials (AS) (TU Delft)
Copyright: © 2017 E.G. Iashina, E. Velichko, M.V. Filatov, W.G. Bouwman, C.P. Duif, A. Brulet, S. V. Grigoriev
DOI
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https://doi.org/10.1103/PhysRevE.96.012411
More Info
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Published Date

2017

Language

English

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Faculty

Applied Sciences

Department

RST/Radiation, Science and Technology

Research Group

RST/Neutron and Positron Methods in Materials

Abstract

Small-angle neutron scattering (SANS) on nuclei of chicken erythrocytes demonstrates the cubic dependence of the scattering intensity Q−3 in the range of momentum transfer Q∈10−3–10−2nm−1. Independent spin-echo SANS measurements give the spin-echo function, which is well described by the exponential law in a range of sizes (3×102)–(3×104) nm. Both experimental dependences reflect the nature of the structural organization of chromatin in the nucleus of a living cell, which corresponds to the correlation function γ(r)=ln(ξ/r) for r<ξ, where ξ=(3.69±0.07)×103 nm, the size of the nucleus. It has the specific scaling property of the logarithmic fractal γ(r/a)=γ(r)+ln(a), i.e., the scaling down by a gives an additive constant to the correlation function, which distinguishes it from the mass fractal, which is characterized by multiplicative constant.