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

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

Iashina, E.G. (Petersburg Nuclear Physics Institute (PNPI); St. Petersburg State University)
Velichko, E. (TU Delft RST/Neutron and Positron Methods in Materials)
Filatov, M.V. (Petersburg Nuclear Physics Institute (PNPI))
Bouwman, W.G. (TU Delft RST/Neutron and Positron Methods in Materials)
Duif, C.P. (TU Delft RST/Neutron and Positron Methods in Materials)
Brulet, A. (Leon Brillouin Laboratory)
Grigoriev, S. V. (Petersburg Nuclear Physics Institute (PNPI); St. Petersburg State University)

2017

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.

http://resolver.tudelft.nl/uuid:c3a7012d-770c-4210-b13e-be380cd4665c

https://doi.org/10.1103/PhysRevE.96.012411

2470-0045

Physical Review E, 96 (1)

Institutional Repository

journal article

© 2017 E.G. Iashina, E. Velichko, M.V. Filatov, W.G. Bouwman, C.P. Duif, A. Brulet, S. V. Grigoriev