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Zhong et al. Chem Synth 2023;3:27  https://dx.doi.org/10.20517/cs.2023.15       Page 19 of 25





























                Figure 11. (A) A general scheme for protocellular communication of DNA-encapsulating protocells; (B) The collective signaling
                behaviors involved in protocellular communication; (C) The preparation of the protocellular system. This figure is quoted with
                permission from Joesaar et al. [155]

               networks provide interactive platforms to program biological response patterns by affecting information
               transformation processes, such as feedback, feedforward, communication, adaptation, bistability, and
               oscillation mechanisms. The networks discussed here show the recent advances in using nucleic acids as
               building blocks to synthesize bioinspired networks that mimic natural processes. We summarized the
               chemical principles and the dynamic behaviors of fundamental dynamic networks, such as feedback,
               feedforward, communicating, and network adaption. Then we categorized artificial transient-signal
               conversion networks from the perspective of fuel types. Numerous dissipative far-from-equilibrium
               networks are proposed as signaling transducers that convert environmental inputs into temporal output
               signals. In addition, we discuss the recent advances in complex signaling dynamic behaviors by integrating
               different functional networks. Furthermore, nucleic acid-based dynamic networks linking with downstream
               functional systems are introduced to highlight the network-guided emerging properties and functions from
               nanostructure and pattern dynamics to information processes in protocells.

               Despite the considerable progress achieved with nucleic acid-based dynamic networks, the complexity and
               functionality of natural networks have surpassed that of artificial networks. Therefore, the construction of
               nucleic acid-based dynamic networks with enhanced complexity and functionality remains challenging due
               to the limitations of existing approaches. Living systems operate under far-from-equilibrium conditions
               with complex spatiotemporal behaviors, and forming such far-from-equilibrium systems follows a
                                                                        [82]
               spatiotemporal evolutionary pathway under environmental stress . This approach allows the system to
               self-regulate the interactions and reactions of its components and adapt itself to be in tune with the ever-
               changing environment [157-160] . To address this challenge, an evolutionary approach is highly desired.
               Integrating numerous known far-from-equilibrium networks and adapting to environmental changes
               through the training-learning process holds great promise for triggering the evolutionary process of the
               artificial network. With this understanding, it is possible to imagine spatiotemporal networks with life-like
               complexity and capabilities.
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