Q-S Synchronization of Biological Chaotic Circuits Based on DNA Strand Displacement and its Application in Biological Information Secure Communication

Biological circuits can not only be applied to ultra sensitive biomedical testing, but also provide new ideas for research in fields such as biomolecular information control, secure communication, and biological computers. In recent years, the synchronization of biological chaotic circuit (BCC) based on DNA strand displacement (DSD) has been widely studied and applied in the field of biological information secure communication. Therefore, this paper proposes a Q-S synchronization scheme of BCC based on DSD, and applies it to biological information secure communication. First, through the research and analysis of DNA molecular reaction dynamics and dual-rail representation, the ideal chemical reaction networks (CRNs) are realized, and the BCC is achieved through the cascade of CRNs. Second, the CRNs of synchronization controller are constructed according to the construction method of Q-S controller, and the combined synchronization between different variables of two BCC with different orders is realized. Finally, CRNs of biological information are designed, and secure communication and decryption of biological information are realized under Q-S synchronization scheme. The effectiveness and robustness of the scheme are proved by numerical simulation in software Visual DSD and MATLAB. Our work provides a new reference for the synchronization of BCC and the secure communication of biological information.