Some Restrictions on the Existence of Second Order Limit Language

The cut and paste phenomenon on DNA molecules with the presence of restriction enzyme and appropriate ligase has led to the formalism of mathematical modelling of splicing system. A type of splicing system named Yusof- Goode splicing system is used to present the transparent behaviour of the DNA s...

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Main Authors: Muhammad Azrin, Ahmad, Nor Haniza, Sarmin, Yuhani, Yusof, Wan, Heng Fong
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing LLC 2015
Subjects:
Online Access:http://umpir.ump.edu.my/id/eprint/11080/7/fist-2015-yuhani-Some%20Restrictions.pdf
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author Muhammad Azrin, Ahmad
Nor Haniza, Sarmin
Yuhani, Yusof
Wan, Heng Fong
author_facet Muhammad Azrin, Ahmad
Nor Haniza, Sarmin
Yuhani, Yusof
Wan, Heng Fong
author_sort Muhammad Azrin, Ahmad
collection UMP
description The cut and paste phenomenon on DNA molecules with the presence of restriction enzyme and appropriate ligase has led to the formalism of mathematical modelling of splicing system. A type of splicing system named Yusof- Goode splicing system is used to present the transparent behaviour of the DNA splicing process. The limit language that is defined as the leftover molecules after the system reaches its equilibrium point has been extended to a second order limit language. The non-existence of the second order limit language biologically has lead to this study by using mathematical approach. In this paper, the factors that restrict the formation of the second order limit language are discussed and are presented as lemmas and theorem using Y-G approach. In addition, the discussion focuses on Yusof- Goode splicing system with at most two initial strings and two rules with one cutting site and palindromic crossing site and recognition sites.
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spelling UMPir110802018-07-18T08:42:54Z http://umpir.ump.edu.my/id/eprint/11080/ Some Restrictions on the Existence of Second Order Limit Language Muhammad Azrin, Ahmad Nor Haniza, Sarmin Yuhani, Yusof Wan, Heng Fong Q Science (General) The cut and paste phenomenon on DNA molecules with the presence of restriction enzyme and appropriate ligase has led to the formalism of mathematical modelling of splicing system. A type of splicing system named Yusof- Goode splicing system is used to present the transparent behaviour of the DNA splicing process. The limit language that is defined as the leftover molecules after the system reaches its equilibrium point has been extended to a second order limit language. The non-existence of the second order limit language biologically has lead to this study by using mathematical approach. In this paper, the factors that restrict the formation of the second order limit language are discussed and are presented as lemmas and theorem using Y-G approach. In addition, the discussion focuses on Yusof- Goode splicing system with at most two initial strings and two rules with one cutting site and palindromic crossing site and recognition sites. AIP Publishing LLC 2015 Conference or Workshop Item PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/11080/7/fist-2015-yuhani-Some%20Restrictions.pdf Muhammad Azrin, Ahmad and Nor Haniza, Sarmin and Yuhani, Yusof and Wan, Heng Fong (2015) Some Restrictions on the Existence of Second Order Limit Language. In: AIP Conference Proceedings: The 22nd National Symposium on Mathematical Sciences (SKSM22) , 24-26 November 2014 , Selangor. pp. 1-7., 1682 (1). ISBN 978-0-7354-1329-0 (Published) http://dx.doi.org/10.1063/1.4932457
spellingShingle Q Science (General)
Muhammad Azrin, Ahmad
Nor Haniza, Sarmin
Yuhani, Yusof
Wan, Heng Fong
Some Restrictions on the Existence of Second Order Limit Language
title Some Restrictions on the Existence of Second Order Limit Language
title_full Some Restrictions on the Existence of Second Order Limit Language
title_fullStr Some Restrictions on the Existence of Second Order Limit Language
title_full_unstemmed Some Restrictions on the Existence of Second Order Limit Language
title_short Some Restrictions on the Existence of Second Order Limit Language
title_sort some restrictions on the existence of second order limit language
topic Q Science (General)
url http://umpir.ump.edu.my/id/eprint/11080/7/fist-2015-yuhani-Some%20Restrictions.pdf
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