N-dimensional matrices operation based on DNA strand displacement

In the field of biological computing, the DNA strand displacement technique performs well in computation and programming. DNA strand displacement can be used to simulate calculations. Models based on the characteristics of DNA strand displacement are established to simulate n-dimensional matrices operations in this paper. The input and output of these computational models are analog, which means that the values of the individual elements in the n-dimensional matrices can be expressed directly by the concentration of the input and output DNA strands. Simulation experiment is performed by Visual DSD, and their results with high accuracy are consistent to the results of matrices operations in higher algebra, which prove correctness and validity of the models. The proposed models show calculation ability of DNA strand displacement and can be applied to the field of intelligent computing.