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This note investigates πT,c1,c2(a1,a2)=P(supt∈[0,T](σ1B(t)−c1t)>a1,supt∈[0,T](σ2B(t)−c2t)>a2), where {B(t):t≥0} is a standard Brownian motion, with T>0,σ1,σ2>0,c1,c2∈R. We derive explicit formula for the probability πT,c1,c2(a1,a2) and find its asymptotic behavior both in so called many-source high-threshold regimes.

BACKGROUND Macrophage migration inhibitory factor (MIF) is released into the intraluminal fluid during bladder inflammation in the rat complexed to alpha1-inhibitor-3 (A1-I3; a rodent proteinase inhibitor in the alpha-macroglobulin family). The location of A1-I3 in the bladder had not been investigated. Therefore, we examined the location of A1-I3 and MIF/A1-I3 complexes in the bladder and chan...

Let h≥2 and let A=(A1,…,Ah) be an h-tuple of sets integers. For nonzero integers c1,…,ch, consider the linear form φ=c1x1+c2x2+⋯+chxh. The representation function RA,φ(n) counts number h-tuples (a1,…,ah)∈A1×⋯×Ah such that φ(a1,…,ah)=n. A is a φ-Sidon system multiplicity g if RA,φ(n)≤g for all n∈Z. every positive integer g, Fφ,g(n) denote largest q there exists withAi⊆[1,n]and|Ai|=q i=1,…,h. It ...

Partial adenosine A1 receptor agonists with reduced intrinsic activity at the cardiovascular system would be promising for therapeutic application (e.g., as antilipolytic agents). In the present study a series of 8-alkylamino [methyl (M)-, ethyl (E)-, propyl (P)-, butyl (B)- and cyclopentyl (CP)-] derivatives of N6-cyclopentyladenosine (CPA) were investigated in conscious normotensive rats. Aft...

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Introduction: Ligands of adenosine A1Rs are potential candidates for the development drugs treatment paroxysmal supraventricular tachycardia, angina pectoris, hypertriglyceridemia, type 2 diabetes mellitus, neuropathic pain, and heart failure. At same time, there is a deficiency that can regulate functions A1 receptors. A number A1-antagonists at various stages clinical trials; other not very s...

Recent studies into gibberellin A1 (GA1) showed it to be physiologically more active than GA3 in plants of great agricultural interest, such as tomatoes, rice, peas, and sweet cherries. We describe here a simple procedure for obtaining large quantities of GA1 (1,500 mg/l) by incubating the FKMC1995 strain of Fusarium fujikuroi in a standard complex medium (SCM). We also compare the GA productio...

Background and Aims: This research aimed to study a possible link between endometriosis and polymorphism of the progesterone receptor gene. Materials and Methods: The control group consisted of 86 women without endometriosis and the case group comprised 86 patients with a diagnosis of endometriosis by laparoscopy. Genotypes for Alu insertion polymorphisms (A1/A1, A1/A2 and A2/A2) were descri...