Probabilistic and statistical analysis of growth and division in Bacillus subtilis

Persistent Link:
http://hdl.handle.net/10150/288880
Title:
Probabilistic and statistical analysis of growth and division in Bacillus subtilis
Author:
Anderson, Kevin Roger, 1970-
Issue Date:
1998
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 dissertation contains a mathematical study of the growth and division of the bacterium Bacillus subtilis. We have developed methods which allow us to study individual based models by finding a relationship between the growth and division rates and the steady state length distribution of the bacterial population. This has allowed us to draw conclusions about the life cycle of B. subtilis such as the fact that a minimum age, as well as a minimum size is required of cells before division can commence. We have shown that successive divisions of of the minicell producing mutant divIV-B1 are not independent, in the sense that whether a minicell was produced as a result of a division is not independent of minicells appearing in later divisions. Finally, we have shown that individual based models are a much more powerful tool for studying bacterial kinetics than traditional population based models.
Type:
text; Dissertation-Reproduction (electronic)
Keywords:
Biology, Microbiology.
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Graduate College; Applied Mathematics
Degree Grantor:
University of Arizona
Advisor:
Watkins, Joseph

Full metadata record

DC FieldValue Language
dc.language.isoen_USen_US
dc.titleProbabilistic and statistical analysis of growth and division in Bacillus subtilisen_US
dc.creatorAnderson, Kevin Roger, 1970-en_US
dc.contributor.authorAnderson, Kevin Roger, 1970-en_US
dc.date.issued1998en_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 dissertation contains a mathematical study of the growth and division of the bacterium Bacillus subtilis. We have developed methods which allow us to study individual based models by finding a relationship between the growth and division rates and the steady state length distribution of the bacterial population. This has allowed us to draw conclusions about the life cycle of B. subtilis such as the fact that a minimum age, as well as a minimum size is required of cells before division can commence. We have shown that successive divisions of of the minicell producing mutant divIV-B1 are not independent, in the sense that whether a minicell was produced as a result of a division is not independent of minicells appearing in later divisions. Finally, we have shown that individual based models are a much more powerful tool for studying bacterial kinetics than traditional population based models.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.subjectBiology, Microbiology.en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.disciplineApplied Mathematicsen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorWatkins, Josephen_US
dc.identifier.proquest9901710en_US
dc.identifier.bibrecord.b38830565en_US
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