期刊文献+

DNA计算机算术运算的自装配模型(Ⅲ)—减法 被引量:3

Self-assembly model of simple arithmetic in DNA computingsubtraction
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摘要 DNA计算是基于DNA分子生化反应,能够在DNA计算机上实现的算法。它具有高度并行性、容量大、速度快等特点。同传统电子计算机一样,它也是以加、减、乘、除等简单算术运算和异或等逻辑运算为基本运算单元。在DNA自装配加法的基础上,设计了一般的DNA自装配并行减法模型,算法的时间复杂度为O(1),空间复杂度为O(n),并通过实例验证了算法的有效性。算法的主要优点在于编码简单、效率高,且具有通用性。 The algorithm based on biochemical reaction of DNA computing can process in a DNA computer. It has a high degree of parallelism, large capacity, and fast speed. Like the traditional electronic computer, it also takes ad- dition, subtraction, multiplication, division and logic operations as basic arithmetic unit. This paper proposes a gen- eral n-band parallel subtraction model of DNA self-assembly. The time complexity of proposed algorithm is O(1) and the space complexity is O(n). As the same time, the effectiveness of the algorithm is verified by an illustration. The greatest advantage of this model is simple coding, high efficiency, and universal applicability.
出处 《计算机工程与应用》 CSCD 2012年第32期39-42,共4页 Computer Engineering and Applications
基金 国家重点基础研究发展规划(973)(No.2010CB731400) 国家自然科学基金(No.60904048) 国家博士后科学基金(No.20070420184) 湖南省自然科学基金(No.07JJ3128)
关键词 DNA计算机 算术运算 自装配 减法 DNA computer arithmetic self-assembly subtraction
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参考文献9

  • 1Fukagaw H,Fujiwara A.Procedures for multiplication and division in DNA computing[C]//FCS2006,2006:123-129.
  • 2Uarnieri F,Fliss M,Bancroft C.Making DNA add[J].Science,1996,273:220-223.
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  • 7刘伟,郭迎,孟大志.DNA计算机算术运算的自装配模型(I)—加法[J].计算机工程与应用,2010,46(20):157-160. 被引量:3
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二级参考文献16

  • 1GAOLin,YANGXiao,LIUWenbin,XUJin.A DNA based model for addition computation[J].Progress in Natural Science:Materials International,2004,14(8):705-709. 被引量:4
  • 2孟大志,高璞,李慧,王真.数制转换的DNA计算模型[J].计算机工程与应用,2007,43(8):67-70. 被引量:3
  • 3Adleman L M.Molecular computation of solutions to combinatarial problems[J].Science,1994,266:1021-1024.
  • 4Uarnieri F,Fliss M,Bancroft C.Making DNA add[J].Science,1996,273:220-223.
  • 5Oliver J S.Computation with DNA:Matrix multiplication[C] //Proceedings of the 2nd DIMACS Workshop on DNA-Based Computers,1996:236-248.
  • 6Mao Chengde,Labean T H,Reif J H.Logical computation using algorithmic self-assembly of DNA triple-crossover molecules[J].Nature,2000,407:493-496.
  • 7Hug H,Schuler R.DNA-based parallel computation of simple arithmetic[C] //LNCS:Proceedings of 7th International Meeting on DNA Based Computers,2001:159-166.
  • 8Fujiwara A,Matsumoto K,Chen W.Addressable procedures for logic an arithmetic operations with DNA molecules[J].International Journal of Foundations of Computer Science,2004,15(3):461-474.
  • 9Fukagaw H,Fujiwara A.Procedures for multiplication and division in DNA computing[C] //FCS 2006,2006:123-129.
  • 10Guarnieri F,Bancroft C.Use of horizontal chain reaction for DNAbased addition[C]//Proceedings of the 2nd DIMACS Workshop on DNA-Based Computers,1996:249-259.

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