[Common mathematical-physical essence involved from chromatographic separation to intelligent medicine:...

The chromatographic separation processes for many molecules in solute bands by stationary phase-mobile phase separation can be compared to ordering disease severity. The common features of chromatographic processes and machine-disease diagnosis-doctor's advice is the separation (classification) of components (individual disease states), both of which show irreversibility of time evolution; however, the former is caused by linear non-equilibrium thermodynamics and latter by nonlinear non-equilibrium thermodynamics (dissipative structure). When the scientific view is extended from drug detection and preparation to evidence-based medicine (EBM), discrete mathematics (axiomatic set theory and probability measure), and artificial intelligence (AI) cloud computing, the convection-diffusion equation and irreversibility in non-equilibrium thermodynamics form a common and core essence of mathematical physics that crosses fields of chromatographic separation and intelligent medicine. It is of profound scientific and practical significance to construct and develop a unified and all-encompassing mathematical framework by incorporating the generality and characteristics of the two subjects.