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Optimizing Covertimes with Constraints

Permanent Link: http://ncf.sobek.ufl.edu/NCFE003617/00001

Material Information

Title: Optimizing Covertimes with Constraints
Physical Description: Book
Language: English
Creator: Compton, Ryan
Publisher: New College of Florida
Place of Publication: Sarasota, Fla.
Creation Date: 2006
Publication Date: 2006

Subjects

Subjects / Keywords: Probability
Microtubules
Computational Biology
Genre: bibliography   ( marcgt )
theses   ( marcgt )
government publication (state, provincial, terriorial, dependent)   ( marcgt )
born-digital   ( sobekcm )
Electronic Thesis or Dissertation

Notes

Abstract: Microtubules are long rigid polymers found in nearly all eukaryotic cells. They are an essential part of the cytoskeleton and are responsible for a variety of intracellular processes. Microtubules locate objects in intracellular space by changing their length through the process of dynamic instability. In this thesis we develop and study both a discrete and a continuous model for microtubule growth. We associate to our discrete model a random variable, the covertime, which models the minimal time required for a microtubule network to locate a pair of positions. We perform a Monte Carlo simulation in order to obtain numerical data on what values the parameters which regulate our discrete model must satisfy in order to minimize the expected value of the covertime. We demonstrate special cases where our continuous model can be realized as the continuum limit of our discrete model.
Statement of Responsibility: by Ryan Compton
Thesis: Thesis (B.A.) -- New College of Florida, 2006
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. 2006 C7
System ID: NCFE003617:00001

Permanent Link: http://ncf.sobek.ufl.edu/NCFE003617/00001

Material Information

Title: Optimizing Covertimes with Constraints
Physical Description: Book
Language: English
Creator: Compton, Ryan
Publisher: New College of Florida
Place of Publication: Sarasota, Fla.
Creation Date: 2006
Publication Date: 2006

Subjects

Subjects / Keywords: Probability
Microtubules
Computational Biology
Genre: bibliography   ( marcgt )
theses   ( marcgt )
government publication (state, provincial, terriorial, dependent)   ( marcgt )
born-digital   ( sobekcm )
Electronic Thesis or Dissertation

Notes

Abstract: Microtubules are long rigid polymers found in nearly all eukaryotic cells. They are an essential part of the cytoskeleton and are responsible for a variety of intracellular processes. Microtubules locate objects in intracellular space by changing their length through the process of dynamic instability. In this thesis we develop and study both a discrete and a continuous model for microtubule growth. We associate to our discrete model a random variable, the covertime, which models the minimal time required for a microtubule network to locate a pair of positions. We perform a Monte Carlo simulation in order to obtain numerical data on what values the parameters which regulate our discrete model must satisfy in order to minimize the expected value of the covertime. We demonstrate special cases where our continuous model can be realized as the continuum limit of our discrete model.
Statement of Responsibility: by Ryan Compton
Thesis: Thesis (B.A.) -- New College of Florida, 2006
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. 2006 C7
System ID: NCFE003617:00001

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