In this paper, we prove the Hyers-Ulam stability in$beta$-homogeneous probabilistic modular spaces via fixed point method for the functional equation[f(x+ky)+f(x-ky)=f(x+y)+f(x-y)+frac{2(k+1)}{k}f(ky)-2(k+1)f(y)]for fixed integers $k$ with $kneq 0,pm1.$

Honeybee colonies (Apis mellifera) serve as attractive hosts for a variety of pathogens providing optimal temperatures, humidity, and an abundance of food. Thus, honeybees have to deal with pathogens throughout their lives and, even as larvae they are affected by severe brood diseases like the European Foulbrood caused by Melissococcus plutonius. Accordingly, it is highly adaptive that larval f...

The mid-Pleistocene Transition from 40 ky to ∼100 ky glacial cycles is generally characterized as a singular transition attributable to scouring of continental regolith or a long-term decrease in atmospheric CO2 concentrations. Here an alternative hypothesis is suggested, that Pleistocene glacial variability is chaotic and that transitions from 40 ky to ∼100 ky modes of variability occur sponta...

A pair of fly impressions is described as a new species of a new genus, Orientisargus illecebrosusgen. et sp. n., referred to a new family Orientisargidaefam. n. within Archisargoidea of Brachycera, Diptera. The systematic position of Orientisargidae is discussed. Daohugosargusgen. n. is proposed for Sharasargus eximius KY Zhang et al., 2008. Uranorhagionidae is a junior synonym for Archisargid...

a Department of Chemistry, University of Kentucky, Lexington, KY 40506, USA b Center of Membrane Sciences, University of Kentucky, Lexington, KY 40506, USA c Graduate Center for Toxicology, University of Kentucky, Lexington, KY 40536, USA d Sanders-Brown Center on Aging, University of Kentucky, Lexington, KY 40536, USA e Department of Pathology and Neurology, University of Kentucky, Lexington, ...

KY-62 is a water-soluble analog of amphotericin B. In vitro testing of five clinical isolates of Candida albicans showed KY-62 to have potency similar to that of amphotericin B. KY-62 was administered to mice infected intravenously with C. albicans. In vivo, KY-62 was effective in immunocompetent mice, with potency similar to that of amphotericin B. KY-62 was well tolerated up to 30 mg/kg of bo...

Royal jelly is known as a functional food containing many useful minerals. In this study, we found an anti-environmental estrogen activity of royal jelly. Bisphenol A (BPA) is an environmental estrogen that stimulates proliferation of human breast cancer MCF-7 cells. Royal jelly inhibited the growth-promoting effect of BPA on MCF-7 cells, even though it did not affect the proliferation of cells...