Modelling of Polymer Adsorption and Looping

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dc.contributor.advisorMadras, Neal
dc.contributor.advisorBergevin, Ozzy
dc.contributor.authorKoumarianos, Sperydon
dc.date.accessioned2024-03-18T18:03:18Z
dc.date.available2024-03-18T18:03:18Z
dc.date.issued2024-03-16
dc.date.updated2024-03-16T10:41:20Z
dc.degree.disciplineApplied and Industrial Mathematics
dc.degree.levelMaster's
dc.degree.nameMSc - Master of Science
dc.description.abstractUnderstanding the physical adsorption behavior of polymers on surfaces is crucial for advancing materials science and developing smart coatings to enhance the bio-compatibility of implanted devices. Applications, ranging from heart stents to brain-integrated microchips,have been experimentally explored to study the adsorption properties of charged polymers onto diverse surfaces. While experimental observations have indicated the presence of loops in adsorbed polymer chains, there remains a need for a comprehensive theoretical model to consistently predict these phenomena. The proposed self-avoiding walk model aims to elucidate the conformations of polymer chains on a surface lattice, emphasizing the entropic competition between flat adsorption and dangly loops during the adsorption process. Focusing on loops formed by adsorbed polymers, the study aims to determine entropically preferred looping structures. These looping structures are relevant to the biocompatibility of materials. The modeling approach involves relating entropy to partition values generated by different macro-states, with a focus on enumerating micro-states to identify the most entropically preferred behavior of adsorbed polymers.
dc.identifier.urihttps://hdl.handle.net/10315/41908
dc.languageen
dc.rightsAuthor owns copyright, except where explicitly noted. Please contact the author directly with licensing requests.
dc.subjectApplied mathematics
dc.subjectBiophysics
dc.subjectPolymer chemistry
dc.subject.keywordsPolymer-modeling
dc.subject.keywordsPolymer-loops
dc.subject.keywordsAdsorption
dc.subject.keywordsPolymers-at-interfaces
dc.subject.keywordsSelf-avoiding-walk
dc.subject.keywordsBio-camouflage
dc.titleModelling of Polymer Adsorption and Looping
dc.typeElectronic Thesis or Dissertation

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