We show that for every orthomodular poset P=(P,≤,′,0,1) of finite height there can be defined two operators forming an adjoint pair with respect to order-like relation on the power set P. This enables us introduce so-called operator residuated corresponding P from which original recovered. this construction applied also weakly and dually posets. Examples such posets are included.

Concurrent infection with hepatitis C virus (HCV) and hepatitis B virus (HBV) was not uncommon in China. To date, information on predictors of response to treatment of dually-infected HCV/HBV is limited. The aim of this study was to evaluated whether determination of the interleukin 28B (IL-28B) polymorphism statuses sufficient to predict treatment response of interferon (IFN)-based therapy in ...

OBJECTIVE To quantify the frequency of siblings of patients with psoriatic arthritis (PsA) having psoriasis and/or inflammatory arthritis. To describe the similarity or otherwise of patterns of arthritis in siblings. METHODS Available and consenting index cases with PsA and one or more siblings living locally were assessed. Mean sibling concordance rates and Weinberg's segregation analysis we...

Progressive immune dysfunction and AIDS develop in most cases of human immunodeficiency virus type 1 (HIV-1) infection but in only 25 to 30% of persons with HIV-2 infection. However, the natural history and immunologic responses of individuals with dual HIV-1 and HIV-2 infection are largely undefined. Based on our previous findings, we hypothesized that among patients with dual infection the co...

Glucose transport is acutely stimulated by hypoxia through enhanced GLUT-1 and GLUT-4 glucose transporter function. GLUT-1 expression is also stimulated by hypoxia or azide. Moreover, hypoxia per se, acting through hypoxia-inducible factor 1, enhances GLUT-1 transcription. GLUT-1 is the first gene whose transcription is dually stimulated in response to hypoxia and inhibition of oxidative phosph...

A spiropyran photoswitch is activated using UV light and protons from a form that shows no interaction with DNA to a form that binds to DNA by intercalation. This scheme is interpreted as a biologically relevant logic AND gate with potential applications as a dually controlled anticancer drug.

We prove that the category of left-handed skew distributive lattices with zero and proper homomorphisms is dually equivalent to a category of sheaves over local Priestley spaces. Our result thus provides a noncommutative version of classical Priestley duality for distributive lattices. The result also generalizes the recent development of Stone duality for skew Boolean algebras.