The p-Frobenius and p-Sylvester numbers for Fibonacci and Lucas triplets.

In this paper we study a certain kind of generalized linear Diophantine problem of Frobenius. Let $ a_1, a_2, \dots, a_l $ be positive integers such that their greatest common divisor is one. For a nonnegative integer $ p $, denote the $ p $-Frobenius number by $ g_p (a_1, a_2, \dots, a_l) $, which is the largest integer that can be represented at most $ p $ ways by a linear combination with nonnegative integer coefficients of $ a_1, a_2, \dots, a_l $.

A novel IKKα inhibitor, noraristeromycin, blocks the chronic inflammation associated with collagen-induced arthritis in mice.

Objectives: To evaluate the therapeutic efficacy of a novel inhibitor for IκB kinase alpha (IKKα), noraristeromycin (NAM), for murine experimental model of rheumatoid arthritis, collagen- induced arthritis (CIA).

Methods: NAM has been chemically synthesized as reported earlier. CIA was induced in DBA/1JNCrlj mice by intradermal inoculation of bovine type II collagen (col II) together with Freund Complete Adjuvant.

Induction of antioxidant and phase 2 drug-metabolizing enzymes by falcarindiol isolated from Notopterygium incisum extract, which activates the Nrf2/ARE pathway, leads to cytoprotection against oxidative and electrophilic stress.

In the present study, we isolated falcarindiol from Notopterygium incisum and investigated the effect of falcarindiol on the expression of antioxidant enzymes (AOEs), such as catalase, and phase 2 drug-metabolizing enzymes (DMEs), such as glutathione S-transferase and NAD(P)H:quinone oxidoreductase 1, in a cultured cell line from normal rat liver, Clone 9 cells. Exposure of Clone 9 cells to falcarindiol resulted in the significant induction of AOEs and phase 2 DMEs. Western blot analysis and transfection studies using a luciferase reporter construct demonstrated that the induction of AOEs and phase 2 DMEs by falcarindiol was caused through the Nrf2/ARE (nuclear factor-E2-related factor 2/antioxidant response element) pathway.