Persistent Link:
http://hdl.handle.net/10150/277188
Title:
The fractal nature of biological aggregates
Author:
Wilkinson, Daniel Brian, 1958-
Issue Date:
1989
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
This project demonstrates that biological aggregates are fractal. Zoogloea ramigera and Sacharomyces cerevisiae aggregates were grown in pure cultures, isolated, sized, and dispersed into single cells. Aggregate surface area, length, cells per floc, and porosity were determined and used to calculate fractal dimensions from four power law relationships. A fractal dimension of 1.94 ± .18 was calculated for Z. ramigera aggregates cultured in test tubes. This value is significantly less than the Euclidean value of 3, and indicates that these aggregates are highly fractal. S. cerevisiae aggregates cultured in test tubes had a fractal dimension of 2.86 ± .33 indicating that these aggregates are less fractal and more compact than Z. ramigera aggregates cultured under identical conditions. Z. ramigera aggregates cultured in a mixed Virtis reactor had a fractal dimension of 2.87 ± .29 indicating that the fractal nature of these aggregates is a function of the fluid environment.
Type:
text; Thesis-Reproduction (electronic)
Keywords:
Fractals.
Degree Name:
M.S.
Degree Level:
masters
Degree Program:
Graduate College; Civil Engineering and Engineering Mechanics
Degree Grantor:
University of Arizona
Advisor:
Logan, Bruce E.

Full metadata record

DC FieldValue Language
dc.language.isoen_USen_US
dc.titleThe fractal nature of biological aggregatesen_US
dc.creatorWilkinson, Daniel Brian, 1958-en_US
dc.contributor.authorWilkinson, Daniel Brian, 1958-en_US
dc.date.issued1989en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractThis project demonstrates that biological aggregates are fractal. Zoogloea ramigera and Sacharomyces cerevisiae aggregates were grown in pure cultures, isolated, sized, and dispersed into single cells. Aggregate surface area, length, cells per floc, and porosity were determined and used to calculate fractal dimensions from four power law relationships. A fractal dimension of 1.94 ± .18 was calculated for Z. ramigera aggregates cultured in test tubes. This value is significantly less than the Euclidean value of 3, and indicates that these aggregates are highly fractal. S. cerevisiae aggregates cultured in test tubes had a fractal dimension of 2.86 ± .33 indicating that these aggregates are less fractal and more compact than Z. ramigera aggregates cultured under identical conditions. Z. ramigera aggregates cultured in a mixed Virtis reactor had a fractal dimension of 2.87 ± .29 indicating that the fractal nature of these aggregates is a function of the fluid environment.en_US
dc.typetexten_US
dc.typeThesis-Reproduction (electronic)en_US
dc.subjectFractals.en_US
thesis.degree.nameM.S.en_US
thesis.degree.levelmastersen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.disciplineCivil Engineering and Engineering Mechanicsen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorLogan, Bruce E.en_US
dc.identifier.proquest1339070en_US
dc.identifier.oclc23443942en_US
dc.identifier.bibrecord.b17628180en_US
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