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Mean Pairwise Distances in Rouse Polymer Subject to Fast Loop Extrusion.

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Title: Mean Pairwise Distances in Rouse Polymer Subject to Fast Loop Extrusion.
Authors: Nikitin, I.1,2 (AUTHOR), Masnev, N.1 (AUTHOR), Belan, S.1,2 (AUTHOR) sergb27@yandex.ru
Source: JETP Letters. Jul2025, Vol. 122 Issue 1, p65-70. 6p.
Subjects: Linear polymers, Mathematical models, Evolution equations, Empirical research, Euclidean distance
Abstract: We consider a model of a Rouse polymer extended by the mechanism of active loop extrusion. The model is based on a kinetic equation that is valid provided that the extrusion rate is high enough and the resulting loop ensemble is sufficiently sparse. Within the one-loop approximation of diagrammatic calculations, a semi-analytical method for determining the mean square physical distance between a pair of chain beads as a function of the contour distance between them is developed. The model is based on a kinetic equation that is valid provided that the extrusion rate is high enough and the resulting loop ensemble is sufficiently sparse. Within the framework of the one-loop approximation of diagrammatic calculations, a semi-analytical method for determining the mean square of the physical distance between a pair of chain sections as a function of the contour distance between them is developed. The mean square of the physical distance and its logarithmic derivative as functions of the contour separation are plotted for different values of the equilibrium degree. The results are compared with the case of frozen disorder of sparse loops. [ABSTRACT FROM AUTHOR]
Copyright of JETP Letters is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Mean Pairwise Distances in Rouse Polymer Subject to Fast Loop Extrusion.
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  Data: <searchLink fieldCode="JN" term="%22JETP+Letters%22">JETP Letters</searchLink>. Jul2025, Vol. 122 Issue 1, p65-70. 6p.
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  Data: We consider a model of a Rouse polymer extended by the mechanism of active loop extrusion. The model is based on a kinetic equation that is valid provided that the extrusion rate is high enough and the resulting loop ensemble is sufficiently sparse. Within the one-loop approximation of diagrammatic calculations, a semi-analytical method for determining the mean square physical distance between a pair of chain beads as a function of the contour distance between them is developed. The model is based on a kinetic equation that is valid provided that the extrusion rate is high enough and the resulting loop ensemble is sufficiently sparse. Within the framework of the one-loop approximation of diagrammatic calculations, a semi-analytical method for determining the mean square of the physical distance between a pair of chain sections as a function of the contour distance between them is developed. The mean square of the physical distance and its logarithmic derivative as functions of the contour separation are plotted for different values of the equilibrium degree. The results are compared with the case of frozen disorder of sparse loops. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of JETP Letters is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1134/S002136402560689X
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        Text: English
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        PageCount: 6
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      – SubjectFull: Linear polymers
        Type: general
      – SubjectFull: Mathematical models
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      – SubjectFull: Evolution equations
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      – SubjectFull: Empirical research
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      – SubjectFull: Euclidean distance
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      – TitleFull: Mean Pairwise Distances in Rouse Polymer Subject to Fast Loop Extrusion.
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              M: 07
              Text: Jul2025
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