Interest in oocyte cryopreservation has recently increased with the growing importance of in vitro embryo production, nuclear transfer, and gene banking (Gordon, 1997; Andrus et al., 2000). A relatively recent approach to achieve rapid freezing without the use of expensive freezing devices is called vitrification. Vitrification is defined as the physical process by which a highly concentrated s...

Let γt(G) and γpr(G) denote the total domination and the paired domination numbers of graph G, respectively, and let G ¤ H denote the Cartesian product of graphs G and H. In this paper, we show that γt(G)γt(H) ≤ 5γt(G ¤ H), which improves the known result γt(G)γt(H) ≤ 6γt(G ¤ H) given by Henning and Rall.

As I sit down to write this abbreviated tale of my laboratory's research and my own professional journey, I'm struck by how things have turned out. I often will tell students who visit Fox Chase Cancer Center, where I've been a faculty member for 20 years, that a common Image 1. Glenn Rall.

In [16] Nowakowski and Rall listed a series of conjectures involving several different graph products. particular, they conjectured that $$i(G\times H) \ge i(G)i(H)$$ where i(G) is the independent domination number G $$G\times H$$ direct product graphs H. We show this conjecture false, and, in fact, construct pairs for which $$\min \{i(G), i(H)\} - i(G\times H)$$ arbitrarily large. also give ex...

Let γg(G) be the game domination number of a graph G. Rall conjectured that if G is traceable graph, then γg(G)≤12n(G). Our main result verifies conjecture over class line graphs. Moreover, in this paper we put forward δ(G)≥2, We show both conjectures hold true for claw-free cubic further prove upper bound γg(G)≤1120n(G) graphs minimum degree at least 2. Computer experiments supporting new and ...

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F. E. Bloom). 17. E. W. Sutherland and G. A. Robison, Diabetes 18, 797 (1969); T. W. Rall, Pharmacol. Rev. 24, 399 (1972). 18. P. Greengard, J. W. Kebabian, D. A. McAfec, Proc. Int. Congr. Pharmacol. 5th, San Francisco, 1972, 5, 207 (1973). 19. R. W. Tsien, Nature (Lond.) 245, 120 (1973); , W. R. Giles, P. Greengard, Nat. New Biol. 240, 181 (1972). 20. Our controls for the specificity of action...

Cyclic adenosine 3′,5′-monophosphate (cAMP) was the first second messenger to be identified and plays fundamental roles in cellular responses to many hormones and neurotransmitters (Sutherland and Rall 1958). The intracellular levels of cAMP are regulated by the balance between the activities of two enzymes (see Fig. 1): adenylyl cyclase (AC) and cyclic nucleotide phosphodiesterase (PDE). Diffe...