The asymptotic behavior of quadratic Hermite-Padé polynomials pn, qn, rn ∈ Pn of type I and pn, qn, rn ∈ P2n of type II associated with the exponential function are studied. In the introduction the background of the definition of Hermite-Padé polynomials is reviewed. The quadratic Hermite-Padé polynomials pn, qn, rn ∈ Pn of type I are defined by the relation pn(z) + qn(z)e z + rn(z)e 2z = O(z) ...

Downlo rix metalloproteinase-9 (MMP-9) expression is known to enhance the invasion and metastasis of tumor n previous work based on a proteomic screen, we identified the serpin protease nexin-1 (PN-1) as a ial target of MMP-9. Here, we show that PN-1 is a substrate for MMP-9 and establish a link between egradation by MMP-9 and regulation of invasion. PN-1 levels increased in prostate carcinoma ...

BACKGROUND Inspiratory muscle strength in patients with neuromuscular disorders can be assessed using sniff inspiratory nasal pressure (Pn(sn)) and maximum inspiratory mouth pressure (PI(max)). However, the relative merits of Pn(sn) against PI(max) are not known in patients with severe neuromuscular disease. OBJECTIVE To investigate whether severity of disease modifies the relation between Pn...

Amongst nephron-sparing modalities, partial nephrectomy (PN) is the standard of care in the treatment of renal cell carcinoma (RCC). Despite the increasing utilization of PN, particularly propagated by robot-assisted, minimally invasive approaches for small renal masses (SRMs), the limits of PN appear to be also evolving. In this review, we sought to address the tumour stage beyond which PN may...

have infinitely many solutions. If the well known hypothesis about prime twins is true, that is, if the equation pn+i—pn — 2 has infinitely many solutions, (1) and (2) of course are trivially satisfied. The first inequality of (2) is inserted only for the sake of completeness. I t follows from the well known fact that lim sup (pn+i—pn) = °° (since n\+2, n\+3, • • • , » ! + » are all composite)....

INTRODUCTION Parenteral nutrition (PN) is an important supportive therapy. However, it is expensive and associated with significant complications. Our aim is to describe the patients given PN in 2006, to compare with the 2001 cohort and determine if PN had been prescribed for the appropriate indications. MATERIALS AND METHODS A retrospective cohort study of adult patients receiving PN between...

Although helminths induce a polarized Th2 response they have been shown, in clinical studies, to confer protection against allergies. To elucidate the basis for this paradox, we have examined the influence of an enteric helminth infection on a model of food allergy. Upon Ag challenge, mice fed peanut (PN) extract plus the mucosal adjuvant cholera toxin (CT) produced PN-specific IgE that correla...

Background Periostin (PN) epithelial and stromal overexpression in tumor pathology has been studied according to tumor growth, angiogenesis, invasiveness, and metastasis, but a limited number of studies address PN in thyroid tumors. Aim Our study aimed to analyze PN expression in different histological variants of PTC and to correlate its expression with the clinicopathological prognostic fac...

The prime number theorem tells us that π(x), the number of primes below x, is ∼ x/ logx. Equivalently, if pn denotes the n-th smallest prime number then pn ∼ n logn. What is the distribution of the gaps between consecutive primes, pn+1 − pn? We have just seen that pn+1 − pn is approximately logn “on average”. How often do we get a gap of size 2 logn, say; or of size 1 2 logn? One way to make th...

Decreased caloric and other nutrient intake can complicate the course of both mild and serious illness. With proper case selection, providing parenteral nutrition (PN) can improve clinical outcome, reduce hospitalization time, and reduce the cost of patient care. Many pharmacy facilities can compound PN formulations; with proper staff training and patient monitoring resources, PN can be adminis...