Highlights A new approach to analysis of the infection expansion based on first integrals of the mathematical model; PainlevȨ analysis of the classic two-parameter SIR-model; The new general analytical solution of the model, structurally featured through its clear relation to epidemiological data; Re-thinking the classic SIR model with application to SARS-Cov-2 case

The absolute majority of modern studies dealing with the interpretation of experimental data on the basis of the Freundlich isotherm ignore the fact that the data obtained for regions of low and moderate adsorbate concentration/pressure can be analytically continued within the Freundlich adsorption model to the adsorptive saturation area with coverages tending to 100%. Needless to say, this would give valuable extended information about the corresponding adsorption process. This message proposes a framework to comprehensively analyse experimental data first recognised as complying with the Freundlich adsorption model. An algorithm-driven method is presented which enables one to translate the data obtained in the area of small and moderate the coverages of the area of adsorptive saturation regime. As examples, three sets of experimental data for adsorption of mercury (II) on N-rich porous organic polymers and of protein on carrier nano-Mg(OH)2 have been processed and presented according to the framework developed.

The famous and still being incessantly cited works published in the first half of the last century by Wenzel 1 and by Cassie and Baxter 2 represent an unprecedented case related to quite tangible phenomena around us. These publications