We prove new Lp affine isoperimetric inequalities for all p ∈ [−∞, 1). We establish, for all p 6= −n, a duality formula which shows that Lp affine surface area of a convex body K equals Ln2 p affine surface area of the polar body K◦.

OBJECTIVE To analyze the genetic composition of oocytes and embryos presenting abnormal fertilization. DESIGN Case report. SETTING In vitro fertilization unit of a university-affiliated hospital. PATIENT(S) A couple with unexplained infertility with abnormal fertilizations in nine failed IVF-intracytoplasmic sperm injection cycles characterized by the presence of embryos with only one pro...

● Importance of Iron in the Body ● Iron-storage Protein and Control of the Amount of Iron in the Body ● Graphical Molecular Representations ■ Importance of Molecular Visualization ■ Different Types of Representations and What Information They Give ● Structure of Ferritin ■ Amino Acids ■ Peptide Subunits ■ 24-Subunit Structure ● Removal of Fe from Ferritin ■ Crystal-lattice Mineral Structure ■ C...

We apply the exchange operator formalism in polar coordinates to a one-parameter family of three-body problems in one dimension and prove the integrability of the model both with and without the oscillator potential. We also present exact scattering solution of a new family of three-body problems in one dimension. PACS: 03.65.-w, 03.65.Ge, 03.65.Fd

For −1 < p < 1 we introduce the concept of a polar pcentroid body ΓpK of a star body K. We consider the question of whether ΓpK ⊂ ΓpL implies vol(L) ≤ vol(K). Our results extend the studies by Lutwak in the case p = 1 and Grinberg, Zhang in the case p > 1.

Metaphase II-arrested mouse eggs are stimulated to complete meiosis by sperm-induced Ca2+ spiking. The Ca2+ signal causes activation of the E3 ligase anaphase-promoting complex/cyclosome (APC), leading to the destruction of key proteins necessary for meiotic exit. We show, using western blots of mouse eggs, the presence of both APC activators cdc20 and cdh1, which target D-box and D-box/KEN-box...

Background: Studies of preimplantation stage embryos by classic cytogenetic techniques have limitations, starting with the need for good metaphase stage when only one third of all analyzed embryos may show good quality metaphases. The incidence of chromosome anomalies in embryos produced by in vitro procedures is generally higher than that of embryos formed in vivo. Pressure specifically affect...

Posterior polar plasm of the Drosophila egg has been shown to function autonomously in germ cell determination after transplantation to either the anterior or mid-ventral region of the early embryo. By means of similar transplantations, we have tested the ability of polar plasm of Drosophila immigrans to induce the formation of pole cells in a Drosophila melanogaster embryo. After the transplan...

We use symplectic techniques to obtain partial results on Mahler's conjecture about the product of volume a convex body and its polar. confirm for hyperplane sections or projections $\ell_p$-balls Hanner polytopes.

Throughout Drosophila oogenesis, specialized somatic follicle cells perform crucial functions in egg chamber formation and in signaling between somatic and germline cells. In the ovary, at least three types of somatic follicle cells, polar cells, stalk cells and main body epithelial follicle cells, can be distinguished when egg chambers bud from the germarium. Although specification of these th...