Topological interactions in DNA catenanes

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dc.creatorOtto, M.
dc.creatorVilgis, T. A.
dc.date1997-11-26
dc.date.accessioned2026-07-07T03:09:30Z
dc.date.available2026-07-07T03:09:30Z
dc.descriptionThe elasticity of DNA catenanes, i.e. multiply linked DNA rings, is investigated using the Gauss invariant as a minimal model for topology conservation. An effective elastic free energy as a function of the distance $R$ between segments located on different rings is obtained. An anharmonic part at large distances, growing as $R^{4}$, if $R\gg R_{G}$ ($R_{G}$ being the radius of gyration of a random walk ring) is found, while for $R\ll R_{G}$ the interaction is strongly repulsive. Treating the attractive interaction as the dominant one, distribution functions for the distance between segments located on different rings for several linking numbers are derived which are in qualitative agreement with distributions functions obtained experimentally from electron micrographs of DNA catenanes (S. D. Levene et al., Biophys.J. 69, 277, 1995).
dc.descriptionaccepted in PRL
dc.identifierhttps://arxiv.org/abs/cond-mat/9711278
dc.identifierhttp://arxiv.org/abs/cond-mat/9711278
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/27914
dc.subjectSoft Condensed Matter
dc.subjectStatistical Mechanics
dc.subjectQuantitative Biology
dc.titleTopological interactions in DNA catenanes
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