BACKGROUND The expending and invasive features of tumor nests could reflect the malignant biological behaviors of breast invasive ductal carcinoma. Useful information on cancer invasiveness hidden within tumor nests could be extracted and analyzed by computer image processing and big data analysis. METHODS Tissue microarrays from invasive ductal carcinoma (n = 202) were first stained with cyt...

Ultrasound is one of the most widely used multipurpose imaging modalities that is ideal for monitoring and diagnosing early pregnancy events. The first sign and measurable element of an early pregnancy is the Gestational Sac (GS). Currently, the size of GS is manually measured from an ultrasound image of the GS. This paper argues that the Mean Sac Diameter (MSD) derived from the manual measurem...

Corporate network firewalls are well-understood and are becoming commonplace. These firewalls establish a security perimeter that aims to block (or heavily restrict) both incoming and outgoing network communication. We argue that these firewalls are neither effective nor appropriate for academic or corporate research environments needing to maintain information security while still supporting t...

Given k ∈ N, the k’th discrete Heisenberg group, denoted H Z , is the group generated by the elements a1, b1, . . . , ak, bk, c, subject to the commutator relations [a1, b1] = . . . = [ak, bk] = c, while all the other pairs of elements from this generating set are required to commute, i.e., for every distinct i, j ∈ {1, . . . , k} we have [ai, aj ] = [bi, bj ] = [ai, bj ] = [ai, c] = [bi, c] = ...

Characteristic features are: the leaf in T/S shows an epidermis of colourless, thickwalled, non-suberised cells, a band of photosynthetic and vascular tissue around the leaf perimeter (2+3), a central core of large thin-walled cells with contents staining pink-orange with KOH solution; yellow-green stomata and idioblasts containing bundles of calcium oxalate raphides (1), each up to 200μ long, ...

In this paper we introduce a family of smooth perimeter approximating functionals designed to be incorporated within topology optimization algorithms. The required mathematical properties, namely the Γ-convergence and the compactness of sequences of minimizers, are first established. Then we propose several methods for the solution of topology optimization problems with perimeter penalization s...

AIMS To assess whether individual parameters or combinations of voice range profile parameters (also called 'features') are able to yield a clear cluster separation with which three basic female voice categories can be discriminated and can provide a basis for settling the issue of voice classification. METHODS The voice range profiles of 206 female conservatory singing students were recorded...

Lithium cyclopentadienyl derivatives are one of the most applied starting materials in organometallic synthesis. At the same time lithium organics with a C5 perimeter are certainly the most elaborated class of compounds in s-block organometallic chemistry. They are compounds par excellence to generate a huge variety of sandwich or half-sandwich d-block organometallics via transmetalation or sal...

The purpose of this study was to examine possible differences in cardio respiratory functional capacity between perimeter and post elite basketball players. The subjects included 42 highly trained basketball players subdivided into groups of perimeter and post players. Point guards, shooting guards and small forwards were involved in the group of perimeter players, while power forwards and cent...