An orientation of a graph is acyclic (totally cyclic) if and only if it is a “positive orientation” of a nowhere-zero integral tension (!ow). We unify the notions of tension and !ow and introduce the so-called tension-!ows so that every orientation of a graph is a positive orientation of a nowhere-zero integral tension-!ow. Furthermore, we introduce an (integral) tension-!ow polynomial, which g...

BACKGROUND Catheter ablation is a non-medication therapy for atrial fibrillation, and during the procedure, warfarin is withdrawn in the preoperative period to prevent the risk of bleeding. In case of emergency, vitamin K2 can be intravenously administered to antagonize the anticoagulant activity of warfarin. The aims of this study were to conduct population pharmacokinetic/pharmacodynamic mode...

The adenovirus (Adv) oncoprotein E1A stimulates cell proliferation and inhibits differentiation. These activities are primarily linked to the N-terminal region (exon 1) of E1A, which interacts with multiple cellular protein complexes. The C terminus (exon 2) of E1A antagonizes these processes, mediated in part through interaction with C-terminal binding proteins 1 and 2 (CtBP1/2). To identify a...

Kirby and Lickorish [3] have previously obtained the second result using a different construction. This answers problem 13 in Gordon [2]. Results of Schubert [6] show that the knots constructed are prime. In the second half of this paper we will generalize his results to characterize prime "generalized" cable knots. If JSΓX is a knot in S x B and K2 is a knot in S , we can form the Kx cable of ...

Let H1, . . . ,Hk be graphs. The multicolor Ramsey number r(H1, . . . ,Hk) is the minimum integer r such that in every edge-coloring of Kr by k colors, there is a monochromatic copy of Hi in color i for some 1 ≤ i ≤ k. In this paper, we investigate the multicolor Ramsey number r(K2,t, . . . ,K2,t,Km), determining the asymptotic behavior up to a polylogarithmic factor for almost all ranges of t ...

Morton and Short [MS] have established experimentally that two knots Kx and K2 may have the same 2-variable polynomial P(l,m) (see [FYHLMO], [LM]) while 2-cables on K\ and Ki can be distinguished by P. We prove here that if K\ and K2 are a mutant pair, then their 2-cables and doubles (and other satellites which are 2-stranded on the boundary of the mutating tangle) cannot be distinguished by P....

where t is induced by the tame symbols on R. They have also asked whether this sequence remains exact with "0 -•" inserted on the left when R is a ring of algebraic integers. In this note we announce an affirmative response when R is a discrete valuation ring, and a proof that the resulting sequence is split exact under certain additional hypotheses on R. In addition, we derive consequences of ...