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In this paper, the dynamical properties of soliton interactions in the focusing Gardner equation are analyzed by the conventional two-soliton solution and its degenerate cases. Using the asymptotic expressions of interacting solitons, it is shown that the soliton polarities depend on the signs of phase parameters, and that the degenerate solitons in the mixed and rational forms have variable velocities with the time dependence of attenuation. By means of extreme value analysis, the interaction points in different interaction scenarios are presented with exact determination of positions and occurrence times of high transient waves generated in the bipolar soliton interactions. Next, with all types of two-soliton interaction scenarios considered, the interactions of two solitons with different polarities are quantitatively shown to have a greater contribution to the skewness and kurtosis than those with the same polarity. Specifically, the ratios of spectral parameters (or soliton amplitudes) are determined when the bipolar soliton interactions have the strongest effects on the skewness and kurtosis. In addition, numerical simulations are conducted to examine the properties of multi-soliton interactions and their influence on higher statistical moments, especially confirming the emergence of the soliton interactions described by the mixed and rational solutions in a denser soliton ensemble. [ABSTRACT FROM AUTHOR]

A direct competitive enzyme-linked immunosorbent assay (ELISA) with monoclonal antibody (MAb) was diagnosed with progesterone (P) level of human serum. In high concentrations and large amounts of displacer effect, this monoclonal antibody (MAb) can retain biological activity so that it can be specially combined with progesterone. Under conditions of the existing displaced agent, monoclonal antibody 11F8(3)H5 can maintain high specificity and affinity and can specifically bind progesterone in serum. Progesterone ELISA standard curve was calculated according to the following formula: Logit(y)=−1.358Log(x)+0.4961, r=0.9944. The serum progesterone values obtained by this method correlated well with those obtained by chemiluminescent immunoassay (CLIA): the correlative equation was y=0.7804x+0.7600, r=0.9126. [ABSTRACT FROM AUTHOR]

In this paper, we derive the determinant representation of higher-order algebraic soliton solutions of the Gerdjikov–Ivanov equation by using the Darboux transformation and some limit technique. Based on the asymptotic balance between different algebraic terms, we obtain the asymptotic expressions of algebraic soliton solutions with the order 2 ≤ N ≤ 4. It turns out that all the asymptotic solitons have the same amplitudes, most of them are located in the parabolic curves and thus have the varying velocities with the rate O ( | t | − 1 2 ) (except that one pair of asymptotic solitons are located in the straight lines for the odd-order cases), and they exhibit the elastic interactions of the attractive type. In addition, we reveal that the transient rogue waves are generated in the soliton-interaction region and the peak value is exactly N times the amplitude of individual soliton. • The determinant representation of higher-order algebraic soliton solutions is obtained for the Gerdjikov–Ivanov equation. • The asymptotic analysis method is developed on the balance between different algebraic terms up to the subdominant level. • The asymptotic solitons exhibit the attractive interactions and most of them are located in the parabolic curves. • The transient rogue waves can be generated in the soliton-interaction region. [ABSTRACT FROM AUTHOR]