This paper focuses on the problem of stability in homogeneous systems with dilation. First, we propose an ‘homogeneous eigenvalue’ for homogeneous systems. Next, we analyze the stability of homogeneous systems using homgeneous eigenvalues, and we show that the use of positive real homogeneous eigenvalues implies instability. Finally, we show the effectiveness of the proposed method through an e...

I survey classification results for countable homogeneous or ‘partially homogeneous’ ordered structures. This includes some account of Schmerl’s classification of the countable homogeneous partial orders, outlining an extension of this to the coloured case, and also treating results on linear orders, and their generalizations, trees and cycle-free partial orders. 2000 Mathematics Subject Classi...

RATIONALE Malignant mesenchymoma (MM) is defined as a heterogeneous malignant soft tissue tumor that consists of 2 or more distinctly different mesenchymal components in addition to fibrosarcomatous elements. Bladder MM was rarely reported in the literature and there are only 5 cases of primary bladder MM documented in English literature to date. PATIENT CONCERNS A 58-year-old male complained...

BACKGROUND Infraorbital schwannoma is a benign tumor of the peripheral nerve seath composed of Schwann cells. Usually occurs between 20 and 70 years of age, are usually asymptomatic and can cause progressive, painless proptosis during growth. CLINICAL CASE A 32-year-old male admitted to ophthalmologic hospital with a painless, slowly progressive mass above the left lacrimal sac. At the ophtha...

Cancer is responsible for millions of deaths worldwide and the variability in disease patterns calls for patient-specific treatment. Therefore, personalized treatment is expected to become a daily routine in prospective clinical tests. In addition to genetic mutation analysis, predictive chemosensitive assays using patient's cells will be carried out as a decision making tool. However, prior to...