Abstract
Multiple loop formation in polymer macromolecules is an important feature of the chromatin organization and DNA compactification in the nuclei. We analyse the size and shape characteristics of complex polymer structures, containing in general f<inf>1</inf> loops (petals) and f<inf>2</inf> linear chains (branches). Within the frames of continuous model of Gaussian macromolecule, we apply the path integration method and obtain the estimates for gyration radius R<inf>g</inf> and asphericity  of typical conformation as functions of parameters f<inf>1</inf>, f<inf>2</inf>. In particular, our results qualitatively reveal the extent of anisotropy of star-like topologies as compared to the rosette structures of the same total molecular weight.
Original language | English |
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Article number | 135001 |
Journal | Journal of Physics A: Mathematical and Theoretical |
Volume | 48 |
Issue number | 13 |
DOIs | |
Publication status | Published - 7 Apr 2015 |
Publication type | A1 Journal article-refereed |
Keywords
- conformational properties
- path integration
- polymers
Publication forum classification
- Publication forum level 1
ASJC Scopus subject areas
- Mathematical Physics
- General Physics and Astronomy
- Statistical and Nonlinear Physics
- Modelling and Simulation
- Statistics and Probability