Perturbations due to round-off errors in computer modeling are discontinuous and therefore one cannot use results like KAM theory about smooth perturbations of twist maps. We elaborate a special approximation scheme to construct two smooth periodic on the angle perturbations of the twist map, bounding the discretized map from above and from below. Using the well known Moser’s theorem we prove t...

Mutations in inversin cause nephronophthisis type II, an autosomal recessive form of polycystic kidney disease associated with situs inversus, dilatation, and kidney cyst formation. Since cyst formation may represent a planar polarity defect, we investigated whether inversin plays a role in cell division. In developing nephrons from inv-/- mouse embryos we observed heterogeneity of nuclear size...

One-month-old male New Zealand White rabbits were fed either a cholesterol-free casein diet (n = 10) or low-level cholesterol-supplemented chow (n = 10) for 24 weeks, during which total plasma cholesterol levels were matched. After perfusion fixation, aortic tissue samples were taken from six predetermined locations and embedded in epoxy resin for examination by light and electron microscopy. F...

Primary cardiac sarcomas are rare and histologically diverse, with single tumors able to demonstrate histological heterogeneity. Consequently, they often misdiagnosed as other common tumors, such myxoma or metastatic malignancies. Incorrect diagnoses can result in incomplete surgeries, inadequate treatment regimens, early recurrence. In our experience, based on the diverse cytological character...

In mitosis, the spindle assembly checkpoint (SAC) prevents anaphase onset until all chromosomes have been attached to the spindle microtubules and aligned correctly at the equatorial metaphase plate. The major checkpoint proteins in mitosis consist of mitotic arrest-deficient (Mad)1-3, budding uninhibited by benzimidazole (Bub)1, Bub3, and monopolar spindle 1(Mps1). During meiosis, for the form...

This is the first case report of Histiocytic Sarcoma (HS) with predominant spindle cell component occurring in the head and neck region of a 41-year-old man. The tumor was composed of sheets of large round to oval cells with pleomorphic vesicular nuclei, prominent nucleoli and abundant eosinophilic cytoplasm. Multinucleated forms, numerous mitoses, and tumor necrosis were also noted. Sheets, fa...

Giant cell rich osteosarcoma is a relatively unusual histological form of osteosarcoma, common lesion usually presenting in the long bones of the appendicular skeleton. The occurrence in the mandible is exceptional rare. Histologically, this tumor tends to be a highly anaplastic, pleomorphic tumor in which the tumor cells may be: plasmacytoid, fusiform, ovoid, small round cells, clear cells, mo...

Mutation in the gene merry-go-round (mgr) of Drosophila causes a variety of phenotypic traits in somatic and germinal tissues, such as polyploid cells, metaphasic arrest, postmeiotic cysts with 16 nuclei, and spermatids with four times the normal chromosome content. The most characteristic phenotype is the appearance of mitotic and meiotic figures where all chromosomes are arranged in a circle....

The spindle assembly checkpoint (SAC) delays mitotic progression when chromosomes are not properly attached to microtubules of the mitotic spindle. Cells vary widely in the extent to which they delay mitotic progression upon SAC activation. To explore the mechanisms that determine checkpoint strength in different cells, we systematically measured the mitotic delay induced by microtubule disrupt...

Carcinosarcoma is defined as a malignant neoplasm that is composed of both carcinomatous and sarcomatous components. The occurrence of carcinosarcoma in the bone is extremely rare. In this report, we describe the third documented de novo case of carcinosarcoma of the bone. A 59-year-old Japanese female presented with a painful tumor in her right lower leg. Plane radiography revealed an osteolyt...