Soliton-Based Signaling Communication and Supermolecular Nano-complex by DDMC/PTX in Tumor Microenvironment

Drug delivery systems (DDSs) using DEAE-dextran-MMA graft copolymer (DDMC)/Paclitaxel (PTX) have shown excellent anticancer activity when used as artificial enzymes in a tumor microenvironment (TME). Treatment with DDMC/sncRNA complex also showed a full recovery of mice from virus-induced sarcoma after changing cancer cells to normal cells. The kinetics of normalized relation of dose rate to cell death rate by using DDMC/PTX appears as a Sigmoid, and does not change in shape and velocity during the reaction period of MTT Assay at different times. The transport phenomena involving conserved energy (NSL(x)), momentum (SGSoliton(x)), and mass (Sig(x)) correspond to the same direction, which proves the solitonic behavior. A supermolecular complex created using DDMC/PTX oscillates, which can be explained by Toda lattice and acts like a Sigmoid from SG-Soliton wave. Signal transduction for this DDS must be the Sigmoid of soliton followed by transfer of conserved energy, momentum, and mass transfer. The soliton signal could explain the stability and sustainability of these feedback control systems. The block diagram of this signal system in a TME is shown using its loop transfer function G(s) and dN(s) of external force. This indicial response was ideal without any time lag of outlet response owing to soliton. The cell outlet/inlet response by DDMC/PTX must be on soliton signal wave that retains its energy and shape without jamming communication. By soliton flow, the result shows both equations of classical control theory and quantum mechanics can be related to chemistry of induced fit model by Hill Equation S-shaped.