Show simple item record

dc.contributor.advisor Kimmel, Marek
dc.creatorWu, Xiaowei
dc.date.accessioned 2011-07-25T02:04:57Z
dc.date.available 2011-07-25T02:04:57Z
dc.date.issued 2010
dc.identifier.urihttps://hdl.handle.net/1911/61992
dc.description.abstract Branching processes play an important role in models of genetics, molecular biology, microbiology, ecology and evolutionary theory. This thesis explores three aspects of branching processes with biological applications. The first part of the thesis focuses on fluctuation analysis, with the main purpose to estimate mutation rates in microbial populations. We propose a novel estimator of mutation rates, and apply it to a number of Luria-Delbruck type fluctuation experiments in Saccharomyces cerevisiae. Second, we study the extinction of Markov branching processes, and derived theorems for the path to extinction in the critical case, as an extension to Jagers' theory. The third part of the thesis introduces infinite-allele Markov branching processes. As an important non-trivial example, the limiting frequency spectrum for the birth-death process has been derived. Potential application of modeling the proliferation and mutation of human Alu sequences is also discussed.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subjectStatistics
dc.title Branching processes with biological applications
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Physics
thesis.degree.discipline Natural Sciences
thesis.degree.grantor Rice University
thesis.degree.level Doctoral
thesis.degree.name Doctor of Philosophy
dc.identifier.citation Wu, Xiaowei. "Branching processes with biological applications." (2010) Diss., Rice University. https://hdl.handle.net/1911/61992.


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record