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Involution codes with application to DNA strand design

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Material Information

Title:
Involution codes with application to DNA strand design
Physical Description:
Book
Language:
English
Creator:
Mahalingam, Kalpana
Publisher:
University of South Florida
Place of Publication:
Tampa, Fla.
Publication Date:

Subjects

Subjects / Keywords:
codes
Watson-Crick Involution
DNA codes
Dissertations, Academic -- Mathematics -- Doctoral -- USF   ( lcsh )
Genre:
government publication (state, provincial, terriorial, dependent)   ( marcgt )
bibliography   ( marcgt )
theses   ( marcgt )
non-fiction   ( marcgt )

Notes

Summary:
ABSTRACT: The set of all sequences that are generated by a bio-molecular protocol forms a language over the four letter alphabet Delta = A,G,C,T. This alphabet is associated with natural involution mapping Theta, A maps to T and G maps to C which is an antimorphism of Delta.̐ In order to avoid undesirable Watson-Crick bonds between the words the language has to satisfy certain coding properties. Hence for an involution Theta we consider involution codes: Theta-infix, Theta-comma-free, Theta-k-codes and Theta-subword-k-codes which avoid certain undesirable hybridization. We investigate the closure properties of these codes and also the conditions under which both X and X± are the same type of involution codes. We provide properties of the splicing system such that the language generated by the system preserves the desired properties of code words. Algebraic characterizations of these involutions through their syntactic monoids have also been discussed. Methods of constructing involution codes that are strictly locally testable are also given. General methods for generating such involution codes are given and teh information capacity of these codes show to be optimal in most cases. A specific set of these codes were chosen for experimental testing and the results of these experiments are presented.
Thesis:
Thesis (Ph.D.)--University of South Florida, 2004.
Bibliography:
Includes bibliographical references.
System Details:
System requirements: World Wide Web browser and PDF reader.
System Details:
Mode of access: World Wide Web.
Statement of Responsibility:
by Kalpana Mahalingam.
General Note:
Includes vita.
General Note:
Title from PDF of title page.
General Note:
Document formatted into pages; contains 75 pages.

Record Information

Source Institution:
University of South Florida Library
Holding Location:
University of South Florida
Rights Management:
All applicable rights reserved by the source institution and holding location.
Resource Identifier:
oclc - 56546822
notis - AJS2457
usfldc doi - E14-SFE0000409
usfldc handle - e14.409
System ID:
SFS0025101:00001


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2004
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Mahalingam, Kalpana.
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Involution codes with application to DNA strand design
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by Kalpana Mahalingam.
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[Tampa, Fla.] :
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2004.
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Thesis (Ph.D.)--University of South Florida, 2004.
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ABSTRACT: The set of all sequences that are generated by a bio-molecular protocol forms a language over the four letter alphabet Delta = [A,G,C,T]. This alphabet is associated with natural involution mapping Theta, A maps to T and G maps to C which is an antimorphism of Delta. In order to avoid undesirable Watson-Crick bonds between the words the language has to satisfy certain coding properties. Hence for an involution Theta we consider involution codes: Theta-infix, Theta-comma-free, Theta-k-codes and Theta-subword-k-codes which avoid certain undesirable hybridization. We investigate the closure properties of these codes and also the conditions under which both X and X are the same type of involution codes. We provide properties of the splicing system such that the language generated by the system preserves the desired properties of code words. Algebraic characterizations of these involutions through their syntactic monoids have also been discussed. Methods of constructing involution codes that are strictly locally testable are also given. General methods for generating such involution codes are given and teh information capacity of these codes show to be optimal in most cases. A specific set of these codes were chosen for experimental testing and the results of these experiments are presented.
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Adviser: Jonoska, Nataa
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codes.
Watson-Crick Involution.
DNA codes.
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