Research Of Multiple Input Multiple Cascade Molecular Circuits Based On DNA Strand Displacement

Owing to the limitations of Moore's Law,numerous researchers are devoted to studying DNA computing.DNA computing mainly solves complex mathematical problems through the operation of molecular biology,and DNA strand displacement technology is the main one of the DNA computing.DNA strand replacement technology has the characteristics of spontaneity,parallelism,programmability and dynamic cascading and plays an important role in the history of DNA computing.In this paper,DNA strand displacement reaction mechanism is used to design and study the multi-input multi-cascade molecular circuits.The main contents are as follows:Firstly,based on the DNA strand displacement reaction,a five-bit square-root dual-rail molecular circuit and a five-bit cube-root dual-rail molecular are constructed and the logic operations of square-root and cube-root are realized,respectively.The DNA species,DNA numbers and numbers of DNA intermolecular reactions are greatly increased owing to the dual-rail theory,and the complicacy of the molecular circuits are enhanced.Secondly,the molecular circuit of the improved five-bit square-root and the molecular circuit of the improved five-bit cube-root are constructed.The numbers of DNA species and amounts and the numbers of interaction between DNA molecules are greatly reduced.The simulation results prove that the improved DNA molecular circuits realize the square-root and cube-root logic operation function,respectively.At the same time,the complexities of the improved DNA molecular circuits are reduced.Thirdly,the two-bit subtractor molecular logic circuit is constructed by using Gray code coding method,and its subtraction logic operation functions are proved by software simulation results.Finally,learning from the idea of enabling control,three different kinds of molecular combinatorial logic gates are constructed by using the DNA strand displacement reaction principle combined with the enabling control idea,and six logic operation functions are realized.The three cascades molecular combinatorial logic circuit is designed through three kinds combinatorial logic gates,and ten various kinds of logic operation functions are completed.The simulation in this paper is realized by Visual DSD and Matlab.In this paper,the designed DNA strand displacement molecular circuits can be extended to more input,more complex molecular circuits,and can be dynamically cascaded with other circuits to realizecomplex logic operations.