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Mixture Model of Mutagenetic Trees and Application in Evolutionary Biology

Permanent Link: http://ncf.sobek.ufl.edu/NCFE003808/00001

Material Information

Title: Mixture Model of Mutagenetic Trees and Application in Evolutionary Biology
Physical Description: Book
Language: English
Creator: Lang, Guangming
Publisher: New College of Florida
Place of Publication: Sarasota, Fla.
Creation Date: 2007
Publication Date: 2007

Subjects

Subjects / Keywords: Algebraic Statistics
Algebraic Geometry
Math Bio
HIV Drug Resistance
Mutagenetic Tree
Genre: bibliography   ( marcgt )
theses   ( marcgt )
government publication (state, provincial, terriorial, dependent)   ( marcgt )
born-digital   ( sobekcm )
Electronic Thesis or Dissertation

Notes

Abstract: Acquired drug resistance for known human pathogens presents a serious challenge to treatment of these pathogens. Acquired drug resistance has proved particularly intractable in the case of HIV. This thesis concerns a class of graphical models, mutagenetic tree models, and linear combinations of such models, mutagenetic tree mixture models, which were developed to study the accumulative evolutionary processes undergoing permanent genetic changes, and the evolution of drug resistance in the HIV genome in particular. Using methods from algebraic statistics, we compute the dimension of all two-tree mixture models where each tree has 4 non-root nodes. We also compute the polynomial invariants for all these models which are used in Frequentist methods for model selection. The information is compiled in a database that can aid biologists and statisticians working in model selection.
Statement of Responsibility: by Guangming Lang
Thesis: Thesis (B.A.) -- New College of Florida, 2007
Supplements: Accompanying materials: Includes a CD of datasets.
Electronic Access: RESTRICTED TO NCF STUDENTS, STAFF, FACULTY, AND ON-CAMPUS USE
Bibliography: Includes bibliographical references.
Source of Description: This bibliographic record is available under the Creative Commons CC0 public domain dedication. The New College of Florida, as creator of this bibliographic record, has waived all rights to it worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law.
Local: Faculty Sponsor: McDonald, Patrick

Record Information

Source Institution: New College of Florida
Holding Location: New College of Florida
Rights Management: Applicable rights reserved.
Classification: local - S.T. 2007 L2
System ID: NCFE003808:00001

Permanent Link: http://ncf.sobek.ufl.edu/NCFE003808/00001

Material Information

Title: Mixture Model of Mutagenetic Trees and Application in Evolutionary Biology
Physical Description: Book
Language: English
Creator: Lang, Guangming
Publisher: New College of Florida
Place of Publication: Sarasota, Fla.
Creation Date: 2007
Publication Date: 2007

Subjects

Subjects / Keywords: Algebraic Statistics
Algebraic Geometry
Math Bio
HIV Drug Resistance
Mutagenetic Tree
Genre: bibliography   ( marcgt )
theses   ( marcgt )
government publication (state, provincial, terriorial, dependent)   ( marcgt )
born-digital   ( sobekcm )
Electronic Thesis or Dissertation

Notes

Abstract: Acquired drug resistance for known human pathogens presents a serious challenge to treatment of these pathogens. Acquired drug resistance has proved particularly intractable in the case of HIV. This thesis concerns a class of graphical models, mutagenetic tree models, and linear combinations of such models, mutagenetic tree mixture models, which were developed to study the accumulative evolutionary processes undergoing permanent genetic changes, and the evolution of drug resistance in the HIV genome in particular. Using methods from algebraic statistics, we compute the dimension of all two-tree mixture models where each tree has 4 non-root nodes. We also compute the polynomial invariants for all these models which are used in Frequentist methods for model selection. The information is compiled in a database that can aid biologists and statisticians working in model selection.
Statement of Responsibility: by Guangming Lang
Thesis: Thesis (B.A.) -- New College of Florida, 2007
Supplements: Accompanying materials: Includes a CD of datasets.
Electronic Access: RESTRICTED TO NCF STUDENTS, STAFF, FACULTY, AND ON-CAMPUS USE
Bibliography: Includes bibliographical references.
Source of Description: This bibliographic record is available under the Creative Commons CC0 public domain dedication. The New College of Florida, as creator of this bibliographic record, has waived all rights to it worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law.
Local: Faculty Sponsor: McDonald, Patrick

Record Information

Source Institution: New College of Florida
Holding Location: New College of Florida
Rights Management: Applicable rights reserved.
Classification: local - S.T. 2007 L2
System ID: NCFE003808:00001

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