Let p ≥ 3 be a prime and e ≥ 2 an integer. Denote σ(x) as a primitive polynomial of degree n over Z/pZ, and G as the set of primitive linear recurring sequences generated by σ(x). A map ψ on Z/pZ naturally induces a map ψ̂ on G, mapping a sequence (. . . , st−1, st, st+1, . . . ) to (. . . , ψ(st−1), ψ(st), ψ(st+1), . . . ). Previous results constructed special maps inducing injective maps on G....

Let p ≥ 3 be a prime and e ≥ 2 an integer. Denote σ(x) as a primitive polynomial of degree n over Z/pZ, and G as the set of primitive linear recurring sequences generated by σ(x). A map ψ on Z/pZ naturally induces a map ψ̂ on G, mapping a sequence (. . . , st−1, st, st+1, . . . ) to (. . . , ψ(st−1), ψ(st), ψ(st+1), . . . ). Previous results constructed special maps inducing injective maps on G....

Protein Z (PZ) is a plasma vitamin K-dependent protein that functions as a cofactor to dramatically enhance the inhibition of coagulation factor Xa by the serpin, protein Z-dependent protease inhibitor (ZPI). In vitro, ZPI not only inhibits factor Xa in a calcium ion-, phospholipid-, and PZ-dependent fashion, but also directly inhibits coagulation factor XIa. In murine gene-deletion models, PZ ...

Although the pentacoordinated complex [Ir{(allyl)B(CH(2)PPh(2))(pz)(2)}(cod)] (1; pz=pyrazolyl, cod=1,5-cyclooctadiene), isolated from the reaction of [{Ir(mu-Cl)(cod)}(2)] with [Li(tmen)][B(allyl)(CH(2)PPh(2))- (pz)(2)] (tmen=N,N,N',N'-tetramethylethane-1,2-diamine), shows behavior similar to that of the related hydridotris(pyrazolyl)borate complex, the carbonyl derivatives behave in a quite d...

Contemporarily, systematic peripheral zone (PZ) biopsies under transrectal ultrasonography (TRUS) guidance are the standard procedure in the diagnosis of prostate cancer. Although, it is widely accepted that the most common appearance of cancer tissue is hypoechoic nodule in the PZ, the diagnostic yield of additional lesion directed biopsies is the subject of debate. Similarly, the place of rou...

In this paper, we discuss an improvement of an algorithm to search for primes p and coset-partitions of (Z/pZ) that yield Ramsey algebras over Z/pZ. We also prove an upper bound on the modulus p in terms of the number of cosets. We have, as a corollary, that there is no prime p for which there exists a partition of (Z/pZ) into 13 cosets that yields a 13-color Ramsey algebra. Thus A263308(13) = 0.

BACKGROUND AND PURPOSE The vitamin K-dependent protein Z (PZ) has been shown to possess anticoagulant as well as procoagulant properties. Plasma levels of PZ show a broad interindividual variation, but it is unknown to which extent this variation is under genetic control. Recent clinical studies revealed contradictory results on the association of PZ plasma levels and the risk of ischemic strok...

Background: Hypertension is a crucial risk factor for development of cardiovascular and neurological diseases. Flavonoids exhibit a wide range of biological effects and have had increased interest as a dietary approach for the prevention or possible treatment of hypertension. However, continuous efforts have been made to structurally modify natural flavonoids with the hope of improving their bi...

In this study, fifty healthy normal volunteers were divided into 3 groups according to age: group A (15-30 years, n=14), group B (31-50 years, n=24), group C (>51 years, n=12). The FA and ADC values in PZ and CZ were measured, and difference between the PZ and CZ were assessed. The results indicated that no significant difference were found in the FA and ADC values between the left and right of...

Noninvasive, radiological image-based detection and stratification of Gleason patterns can impact clinical outcomes, treatment selection, and the determination of disease status at diagnosis without subjecting patients to surgical biopsies. We present machine learning-based automatic classification of prostate cancer aggressiveness by combining apparent diffusion coefficient (ADC) and T2-weight...