Piecewise-linear virtual knots are discussed and classified up to edge index six.

objective: ovarian and follicle transplantation may preserve fertility in young cancer survivors. in this study, we have transplanted preantral follicles using fibrin gel as a carrier and fibrin gel supplemented with platelet lysate (pl) as a rich source of angiogenic and growth factors. the purpose of this study was to evaluate the role of fibrin gel and pl in follicle transplantation. materia...

We extend Matveev’s complexity of 3-manifolds to PL compact manifolds of arbitrary dimension, and we study its properties. The complexity of a manifold is the minimum number of vertices in a simple spine. We study how this quantity changes under the most common topological operations (handle additions, finite coverings, drilling and surgery of spheres, products, connected sums) and its relation...

conclusions using -2.5 standard deviations as the cutoff for micropenis, a newborn infant in golestan province with a pl of < 23.3 mm had micropenis; however, more investigations are needed to clarify this issue. results means of pl and agd of 427 healthy term newborns were 32.1 ± 3.5 and 24.5 ± 2.5 mm, respectively. there was a positive correlation between pl and agd (r = 0.097, p = 0.046). ac...