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Physical Sciences and Mathematics

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Missouri University of Science and Technology

Computer Science Faculty Research & Creative Works

2006

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A Mathematical Formulation Of Dna Computation, Mingjun Zhang, Maggie Xiaoyan Cheng, Tzyh-Jong Tarn Jan 2006

A Mathematical Formulation Of Dna Computation, Mingjun Zhang, Maggie Xiaoyan Cheng, Tzyh-Jong Tarn

Computer Science Faculty Research & Creative Works

DNA computation is to use DNA molecules for information storing and processing. The task is accomplished by encoding and interpreting DNA molecules in suspended solutions before and after the complementary binding reactions. DNA computation is attractive, due to its fast parallel information processing, remarkable energy efficiency, and high storing capacity. Challenges currently faced by DNA computation are (1) lack of theoretical computational models for applications, and (2) high error rate for implementation. This paper attempts to address these problems from mathematical modeling and genetic coding aspects. The first part of this paper presents a mathematical formulation of DNA computation. The …