Although a number of studies have shown that vitamin K possesses antitumor activities on various neoplastic cell lines, there are few reports demonstrating in vivo antitumor effects of vitamin K, and the antitumor effect on colorectal cancer (CRC) remains to be examined. Therefore, antitumor effects of vitamin K on CRC were examined both in vitro and in vivo. Vitamins K2, K3 and K5 suppressed t...

A first step in the quantification of receptor density in the living human brain is the measurement of the binding of a labeled ligand to the receptor in question. In the present study, we determined the rate of binding of 11C-labeled N-methylspiperone (NMSP) to the D2 dopamine receptor in 11 normal volunteers, using a three-compartment model to relate the time integral of the measured plasma c...

We will show the following three theorems on diffeomorphism and homeomorphism groups of a K 3 K3 </inl...

We consider deformations of a toroidal orbifold T 4/Z2 and an orbifold of quartic in CP . In the T 4/Z2 case, we construct a family of noncommutative K3 surfaces obtained via both complex and noncommutative deformations. We do this following the line of algebraic deformation done by Berenstein and Leigh for the Calabi-Yau threefold. We obtain 18 as the dimension of the moduli space both in the ...

In many diseases such as cancer, simultaneous use of two or more pharmacologically active agents will be more effective and have fewer side effects. In this study a new palladium(II) complex with formula of [Pd(phen)(py-dtc)]NO3 (where is phen 1,10-phenanthroline and py-dtc is n-propyldithiocarbamate), was synthesized. The cytotoxic activity of this complex was tested against leukemia K562 cell...

We make a complete list of all possible ADE-types of singular fibers of complex elliptic K3 surfaces and the torsion parts of their MordellWeil groups.

We consider relationships between families of K3 surfaces, in the context of string theory. An important ingredient of string theory also of interest in algebraic geometry is T-duality. Donagi and Pantev [DP] have extended the original duality on genus one fibred K3 surfaces with a section to the case of any genus one fibration, via a Fourier-Mukai transform. We investigate possibilities of ext...

Being surfaces of intermediate type, i.e., neither geometrically rational or ruled, nor of general type, K3 surfaces have a rich yet accessible arithmetic theory, which has started to come into focus over the last fifteen years or so. These notes, written to accompany a 4-hour lecture series at the 2015 Arizona Winter School, survey some of these developments, with an emphasis on explicit metho...

1.1 1729 and Ramanujan Srinivasa Ramanujan is said to have possessed an uncanny memory for idiosyncratic properties of numbers. J. E. Littlewood famously remarked that “everynumber is a personal friend of Ramanujan.” This opinion is supported by the famous story of 1729, the so-called “Hardy–Ramanujan” number after the famous anecdote of G. H. Hardy concerning a visit to the hospital to see his...