Home
Resource
Topology of contacts in interacting polymers
PDF
PDF format is widely accepted and good for printing.
Plug-in required
PDF-1(3.45 MB)
Citation & Export
View Usage Statistics
Staff View

Citation & Export
Hide

Simple citation

Dirschbacher, Nina. Topology of contacts in interacting polymers. Retrieved from https://doi.org/doi:10.7282/T3BG2MGH

Export

Click here for information about Citation Management Tools at Rutgers.

Statistics
Hide

Description

TitleTopology of contacts in interacting polymers
NameDirschbacher, Nina (author); Sengupta, Anirvan Mayukh (chair); Chandra, Premala (internal member); Alexandre, Morozov V. (internal member); Rutgers University; Graduate School - New Brunswick
Date Created2014
Other Date2014-10 (degree)
SubjectPhysics and Astronomy, Genetic regulation, Chromatin--genetics
Extent1 online resource (v, 41 p. : ill.)
DescriptionRecent developments in the study of chromatin loop domains and gene regulation motivates us to investigate the topology of contacts in interacting polymers. To describe the chromatin loop formation we will use a bead on a string model with excluded volume and attractive polymer-polymer interaction simulated by self avoiding walks. The resulting chain configuration is a balance between these two interactions and can be a coiled state for good solvents or a collapsed one for poor solvent. We can classify the different chain configurations by their topological structures through the genus, a topological invariant of the resulting diagrams. The backtracking algorithm enables us to achieve exact numerical results for the genus distribution of the above mentioned model for small polymer lengths. Since pseudoknots decrease the entropy by restricting the possible configuration, we explore whether we see a suppression of pseudoknots for finite size polymers and intermediate strength of interaction.
NoteM.S.
NoteIncludes bibliographical references
Noteby Nina Dirschbacher
Genretheses, ETD graduate
Persistent URLhttps://doi.org/doi:10.7282/T3BG2MGH
Languageeng
CollectionGraduate School - New Brunswick Electronic Theses and Dissertations
Organization NameRutgers, The State University of New Jersey
RightsThe author owns the copyright to this work.
Version 8.5.5
Rutgers University Libraries - Copyright ©2024