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The sequential information stored in DNA determines the appearance and inheritance of different life forms and individuals. Precision control of DNA sequences at the molecular level is crucial to maintain the fidelity of genes and to ensure the accuracy of gene expression. In this paper, we propose state-space control models at the molecular level by converting character-based DNA sequences into state...
This paper extends our early study on a mathematical formulation of the central dogma of molecular biology, and focuses discussions on recent insights obtained by employing advanced systems theoretic analysis. The goal of this paper is to mathematically represent and interpret the genetic information flow at the molecular level, and explore the fundamental principle of molecular biology at the system...
This paper proposes a mathematical formulation for the process of protein synthesis. The goal is to mathematically describe and interpret the genetic information flow from DNA to RNA, and to protein molecules. Matrix theory is extensively utilized to represent key concepts related to DNA hybridization, RNA self-hybridization, and polarities of the amino acids. Propositions and a complete mathematical...
This paper proposes a mathematical formulation of protein secondary structures and gene mutation in Molecular Biology. The goal is to mathematically represent and interpret the secondary structure of the protein macro molecular and how the gene mutation happens. Group theory is used to interpret concepts and properties of protein synthesis, protein secondary structures, and gene mutation. Propositions...
A supervisory scheme based on different time-delay recognition is proposed for optical cross-connects (OXCs). Besides providing actual routing information, it can detect and locate multiple faults. Additionally, the length of longest path is minimized.
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