The invented organic memristor/memcapacitor device comprises arrayed cross-bar donut-shape toroidal matrix self-assembling membrane on an electrode mimicking mitochondria's double membrane surface structure and the direct electron-relay function, that used to mimic functions of Fibroblast Growth Factor Receptor 1 (FGFR1) and choline acetyltransferase (CHAT), which enables bio-communication signals flowing directly between the endotoxin interacted membrane electrode assembly (MEA) working electrode and a cathodic electrode; and from a biomarker Acetyl coenzyme A (AcCoA) interacted the MEA electrode and the cathodic electrode when applied a definite potential, respectively, for detection of a single E. coli cell and detection of a picomolar concentration of AcCoA under nature enzyme-free, antibody-free and reagent-free conditions. The sensor offers multiple functions for monitoring neuronal synapse pulse energy output. The robust analytical performances of the device for monitoring endotoxins in milk are important in the dairy industry.