ABSTRACT
In this paper, we present some identities relating the hyperharmonic, the Daehee and the derangement numbers, and we derive some nonlinear differential equations from the generating function of a hyperharmonic number. In addition, we use this differential equation to obtain some identities in which the hyperharmonic numbers and the Daehee numbers are involved.
ABSTRACT
Since Cauchy numbers were introduced, various types of Cauchy numbers have been presented. In this paper, we define degenerate Cauchy numbers of the third kind and give some identities for the degenerate Cauchy numbers of the third kind. In addition, we give some relations between four kinds of the degenerate Cauchy numbers, the Daehee numbers and the degenerate Bernoulli numbers.
ABSTRACT
ETHNOPHARMACOLOGICAL RELEVANCE: Sophora tonkinensis (Leguminosae, ST) is a traditional herbal plant in Korea and China. Its roots and rhizomes have been used to dissipate heat, to clear toxic material and to treat acute pharyngolaryngeal infections and sore throats. AIM OF STUDY: In this study, we tried to investigate the anti-inflammatory and anti-asthmatic effects of a purified extract (SKI3301) from Sophora tonkinensis using in vitro enzyme assay models and ovalbumin (OVA)-induced asthma animal models. MATERIALS AND METHODS: The effect of SKI3301 on pro-inflammatory enzymes such as 5-lipoxygenase, phosphodiesterase 3 & 4, and thromboxane synthase was assayed in vitro. BALB/c mice were sensitized with OVA/Alum ip injection and nebulized with OVA to induce airway inflammation. Bronchoalveolar lavage (BAL) fluid was collected and analyzed for leukocytes infiltration and IL-5 production along with lung histopathology. Guinea pigs passively sensitized with anti-OVA antiserum were used to investigate the effect of SKI3301 on bronchospasm in vitro and in vivo. RESULTS: SKI3301 potently inhibited the activities of 5-lipoxygenase, phosphodiesterase 3 & 4, and thromboxane synthase. Orally administered SKI3301 attenuated the total leukocytes and eosinophil infiltration and IL-5 level in BAL fluids. Histopathological changes associated with lung inflammation were also reduced by SKI3301. SKI3301 inhibited OVA-induced contraction of isolated trachea from sensitized guinea pigs. SKI3301 also protected OVA-induced bronchoconstriction in the sensitized guinea pigs. Maackiain, one of 3 major components of SKI3301, was effective in inhibiting 5-lipoxygenase and OVA-induced airway inflammation. CONCLUSION: In this study, SKI3301 potently inhibited pro-inflammatory enzymes and attenuated OVA-induced bronchospasm in animal model of allergic asthma. These results suggest that SKI3301 may have therapeutic potential for allergic asthma.
