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Optimal Control of Gene Mutation in DNA Replication
Joint Authors
Tarn, Tzyh-Jong
Yu, Juanyi
Li, Jr-Shin
Source
Journal of Biomedicine and Biotechnology
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-26, 26 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-01-22
Country of Publication
Egypt
No. of Pages
26
Main Subjects
Abstract EN
We propose a molecular-level control system view of the gene mutations in DNA replication from the finite field concept.
By treating DNA sequences as state variables, chemical mutagens and radiation as control inputs, one cell cycle as a step increment, and the measurements of the resulting DNA sequence as outputs, we derive system equations for both deterministic and stochastic discrete-time, finite-state systems of different scales.
Defining the cost function as a summation of the costs of applying mutagens and the off-trajectory penalty, we solve the deterministic and stochastic optimal control problems by dynamic programming algorithm.
In addition, given that the system is completely controllable, we find that the global optimum of both base-to-base and codon-to-codon deterministic mutations can always be achieved within a finite number of steps.
American Psychological Association (APA)
Yu, Juanyi& Li, Jr-Shin& Tarn, Tzyh-Jong. 2012. Optimal Control of Gene Mutation in DNA Replication. Journal of Biomedicine and Biotechnology،Vol. 2012, no. 2012, pp.1-26.
https://search.emarefa.net/detail/BIM-495211
Modern Language Association (MLA)
Yu, Juanyi…[et al.]. Optimal Control of Gene Mutation in DNA Replication. Journal of Biomedicine and Biotechnology No. 2012 (2012), pp.1-26.
https://search.emarefa.net/detail/BIM-495211
American Medical Association (AMA)
Yu, Juanyi& Li, Jr-Shin& Tarn, Tzyh-Jong. Optimal Control of Gene Mutation in DNA Replication. Journal of Biomedicine and Biotechnology. 2012. Vol. 2012, no. 2012, pp.1-26.
https://search.emarefa.net/detail/BIM-495211
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-495211