Abstract: Disclosed is an implementation method for ultrasensitive Brink control for a delayed enzymatic reaction based on DNA strand displacement (DSD), relating to the field of feedback control technology based on DSD in biological systems. The method includes obtaining an enzymatic reaction process model with time delay; constructing a CRN-based Brink controller; obtaining a static mapping expression between an output of the Brink controller and an output of the system under a steady state condition; constructing a Brink controller by DSD reaction; obtaining a time delay representation, and applying it to DNA implementations of the enzymatic reaction process model; and combined with the Brink controller, controlling a delayed enzymatic reaction process model. The present invention is structurally free of subtraction, reduces the number of abstract chemical reactions required to implement, and greatly simplifies DNA implementation.

Abstract: The present disclosure discloses a DNA matrix processing method based on a combined restriction digestion mechanism, including the following steps: constructing a single auxiliary strand-mediated combined restriction digestion mechanism; introducing an auxiliary strand based on the single auxiliary strand-mediated combined restriction digestion mechanism, to obtain a dual auxiliary strands-mediated combined restriction digestion mechanism; and constructing DNA matrix processing and a weighted sum of Boolean matrix multiplication with the dual auxiliary strands-mediated combined restriction digestion mechanism; in which the two auxiliary strands are directly used as elements involved in the matrix processing, and the 2N auxiliary strands are combined into N2 four-pronged restriction digestion structures in the presence of E6 type DNAzymes to cleave N2 substrate strands. Meanwhile, due to high-efficiency catalysis and specific recognition, the E6 type DNAzymes make the matrix processing rapid and accurate.