6 research outputs found
Minimal half-spaces and external representation of tropical polyhedra
We give a characterization of the minimal tropical half-spaces containing a
given tropical polyhedron, from which we derive a counter example showing that
the number of such minimal half-spaces can be infinite, contradicting some
statements which appeared in the tropical literature, and disproving a
conjecture of F. Block and J. Yu. We also establish an analogue of the
Minkowski-Weyl theorem, showing that a tropical polyhedron can be equivalently
represented internally (in terms of extreme points and rays) or externally (in
terms of half-spaces containing it). A canonical external representation of a
polyhedron turns out to be provided by the extreme elements of its tropical
polar. We characterize these extreme elements, showing in particular that they
are determined by support vectors.Comment: 19 pages, 4 figures, example added with a new figure, figures
improved, references update
ΠΠ΅ΡΠ²ΠΈΡΠ½Π°Ρ ΡΠΎΠ»Π»ΠΈΠΊΡΠ»ΡΡΠ½Π°Ρ ΠΊΠ°ΡΡΠΈΠ½ΠΎΠΌΠ° ΠΏΠΎΡΠΊΠΈ. ΠΠ»ΠΈΠ½ΠΈΡΠ΅ΡΠΊΠΎΠ΅ Π½Π°Π±Π»ΡΠ΄Π΅Π½ΠΈΠ΅ ΠΈ ΠΎΠ±Π·ΠΎΡ Π»ΠΈΡΠ΅ΡΠ°ΡΡΡΡ
Primary thyroid-like follicular renal cell carcinoma is an extremely rare type of renal cell cancer with low malignancy potential and relatively good prognosis. It has not been included into the World Health Organization classification of renal tumors. This tumor is characterized by morphology similar to primary thyroid follicular cancer, but with different immune phenotype, which is important for morphological diagnosis. Surgery has been recognized as the only curative treatment. We describe our own observation of follicular renal carcinoma in a 68-year old man, in whom renal tumor was identified during his regular examination due to past colon cancer. The disease was asymptomatic. The patient had elective laparoscopic nephrectomy. At pathological assessment, the tumor looked like a follicular thyroid neoplasm. Immunohistochemistry revealed no expression of RCC, TTF-1, thyroglobulin, CD-10, synaptophysin, and chromogranin A. The differential diagnosis included metastatic primary thyroid malignancy as the most probable diagnosis, as well as highly differentiated neuroendocrine tumor and the so-called βthyroid kidneyβ that might occur in long-standing chronic pyelonephritis. Conclusion: The case of primary follicular renal carcinoma illustrates that this rare renal tumor is heterogeneous both in its structure and tumor cell immunophenotypes. Longer follow-up and accumulation of larger numbers of the disease is needed. This would allow for a more objective assessment of its prevalence in the population, of its clinical characteristics and morphological variability.ΠΠ΅ΡΠ²ΠΈΡΠ½Π°Ρ ΡΠΎΠ»Π»ΠΈΠΊΡΠ»ΡΡΠ½Π°Ρ ΠΊΠ°ΡΡΠΈΠ½ΠΎΠΌΠ° ΠΏΠΎΡΠΊΠΈ (Π°Π½Π³Π». primary thyroid-like follicular renal cell carcinoma) - ΡΡΠ΅Π·Π²ΡΡΠ°ΠΉΠ½ΠΎ ΡΠ΅Π΄ΠΊΠΈΠΉ Π²Π°ΡΠΈΠ°Π½Ρ ΠΏΠΎΡΠ΅ΡΠ½ΠΎΠΊΠ»Π΅ΡΠΎΡΠ½ΠΎΠ³ΠΎ ΡΠ°ΠΊΠ° Ρ Π½ΠΈΠ·ΠΊΠΈΠΌ ΠΏΠΎΡΠ΅Π½ΡΠΈΠ°Π»ΠΎΠΌ Π·Π»ΠΎΠΊΠ°ΡΠ΅ΡΡΠ²Π΅Π½Π½ΠΎΡΡΠΈ ΠΈ ΠΎΡΠ½ΠΎΡΠΈΡΠ΅Π»ΡΠ½ΠΎ Ρ
ΠΎΡΠΎΡΠΈΠΌ ΠΏΡΠΎΠ³Π½ΠΎΠ·ΠΎΠΌ, Π½Π΅ Π²ΠΊΠ»ΡΡΠ΅Π½ Π² ΠΊΠ»Π°ΡΡΠΈΡΠΈΠΊΠ°ΡΠΈΡ ΠΎΠΏΡΡ
ΠΎΠ»Π΅ΠΉ ΠΏΠΎΡΠΊΠΈ ΠΡΠ΅ΠΌΠΈΡΠ½ΠΎΠΉ ΠΎΡΠ³Π°Π½ΠΈΠ·Π°ΡΠΈΠΈ Π·Π΄ΡΠ°Π²ΠΎΠΎΡ
ΡΠ°Π½Π΅Π½ΠΈΡ. ΠΡΠ° ΠΎΠΏΡΡ
ΠΎΠ»Ρ Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΠ·ΡΠ΅ΡΡΡ ΡΡ
ΠΎΠ΄Π½ΡΠΌ ΠΌΠΎΡΡΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΠΌ ΡΡΡΠΎΠ΅Π½ΠΈΠ΅ΠΌ Ρ ΠΏΠ΅ΡΠ²ΠΈΡΠ½ΡΠΌ ΡΠΎΠ»Π»ΠΈΠΊΡΠ»ΡΡΠ½ΡΠΌ ΡΠ°ΠΊΠΎΠΌ ΡΠΈΡΠΎΠ²ΠΈΠ΄Π½ΠΎΠΉ ΠΆΠ΅Π»Π΅Π·Ρ, Π½ΠΎ ΠΎΡΠ»ΠΈΡΠ½ΡΠΌ ΠΎΡ Π½Π΅Π΅ ΠΈΠΌΠΌΡΠ½ΠΎΡΠ΅Π½ΠΎΡΠΈΠΏΠΎΠΌ, ΡΡΠΎ Π²Π°ΠΆΠ½ΠΎ Π΄Π»Ρ ΠΌΠΎΡΡΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠΉ Π΄ΠΈΠ°Π³Π½ΠΎΡΡΠΈΠΊΠΈ. Π₯ΠΈΡΡΡΠ³ΠΈΡΠ΅ΡΠΊΠΈΠΉ ΠΌΠ΅ΡΠΎΠ΄ ΠΏΡΠΈΠ·Π½Π°Π½ Π΅Π΄ΠΈΠ½ΡΡΠ²Π΅Π½Π½ΡΠΌ ΠΌΠ΅ΡΠΎΠ΄ΠΎΠΌ ΡΠ°Π΄ΠΈΠΊΠ°Π»ΡΠ½ΠΎΠ³ΠΎ Π»Π΅ΡΠ΅Π½ΠΈΡ. ΠΠΏΠΈΡΠ°Π½ΠΎ ΡΠΎΠ±ΡΡΠ²Π΅Π½Π½ΠΎΠ΅ Π½Π°Π±Π»ΡΠ΄Π΅Π½ΠΈΠ΅ ΡΠΎΠ»Π»ΠΈΠΊΡΠ»ΡΡΠ½ΠΎΠΉ ΠΊΠ°ΡΡΠΈΠ½ΠΎΠΌΡ ΠΏΠΎΡΠΊΠΈ Ρ ΠΌΡΠΆΡΠΈΠ½Ρ 68 Π»Π΅Ρ, Ρ ΠΊΠΎΡΠΎΡΠΎΠ³ΠΎ ΠΏΡΠΈ ΠΊΠΎΠ½ΡΡΠΎΠ»ΡΠ½ΠΎΠΌ ΠΎΠ±ΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠΈ ΠΏΠΎ ΠΏΠΎΠ²ΠΎΠ΄Ρ ΡΠ°ΠΊΠ° ΡΠΎΠ»ΡΡΠΎΠΉ ΠΊΠΈΡΠΊΠΈ Π² Π°Π½Π°ΠΌΠ½Π΅Π·Π΅ ΠΎΠ±Π½Π°ΡΡΠΆΠ΅Π½Π° ΠΎΠΏΡΡ
ΠΎΠ»Ρ ΠΏΠΎΡΠΊΠΈ. ΠΠ°Π±ΠΎΠ»Π΅Π²Π°Π½ΠΈΠ΅ ΠΏΡΠΎΡΠ΅ΠΊΠ°Π»ΠΎ Π±Π΅ΡΡΠΈΠΌΠΏΡΠΎΠΌΠ½ΠΎ. Π ΠΏΠ»Π°Π½ΠΎΠ²ΠΎΠΌ ΠΏΠΎΡΡΠ΄ΠΊΠ΅ Π²ΡΠΏΠΎΠ»Π½Π΅Π½Π° Π»Π°ΠΏΠ°ΡΠΎΡΠΊΠΎΠΏΠΈΡΠ΅ΡΠΊΠ°Ρ Π½Π΅ΡΡΡΠΊΡΠΎΠΌΠΈΡ. ΠΡΠΈ ΠΏΠ°ΡΠΎΠ»ΠΎΠ³ΠΎΠ°Π½Π°ΡΠΎΠΌΠΈΡΠ΅ΡΠΊΠΎΠΌ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠΈ ΠΎΠΏΡΡ
ΠΎΠ»Ρ Π±ΡΠ»Π° ΠΏΠΎΡ
ΠΎΠΆΠ° Π½Π° ΡΠΎΠ»Π»ΠΈΠΊΡΠ»ΡΡΠ½ΡΡ ΠΎΠΏΡΡ
ΠΎΠ»Ρ ΡΠΈΡΠΎΠ²ΠΈΠ΄Π½ΠΎΠΉ ΠΆΠ΅Π»Π΅Π·Ρ. ΠΡΠΈ ΠΈΠΌΠΌΡΠ½ΠΎΠ³ΠΈΡΡΠΎΡ
ΠΈΠΌΠΈΡΠ΅ΡΠΊΠΎΠΌ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠΈ Π² ΠΊΠ»Π΅ΡΠΊΠ°Ρ
ΠΎΠΏΡΡ
ΠΎΠ»ΠΈ ΠΎΡΡΡΡΡΡΠ²ΠΎΠ²Π°Π»Π° ΡΠΊΡΠΏΡΠ΅ΡΡΠΈΡ RCC, TTF-1, ΡΠΈΡΠ΅ΠΎΠ³Π»ΠΎΠ±ΡΠ»ΠΈΠ½Π°, CD-10, ΡΠΈΠ½Π°ΠΏΡΠΎΡΠΈΠ·ΠΈΠ½Π°, Ρ
ΡΠΎΠΌΠΎΠ³ΡΠ°Π½ΠΈΠ½Π° Π. ΠΠΈΡΡΠ΅ΡΠ΅Π½ΡΠΈΠ°Π»ΡΠ½Π°Ρ Π΄ΠΈΠ°Π³Π½ΠΎΡΡΠΈΠΊΠ° ΠΏΡΠΎΠ²ΠΎΠ΄ΠΈΠ»Π°ΡΡ Π² ΠΏΠ΅ΡΠ²ΡΡ ΠΎΡΠ΅ΡΠ΅Π΄Ρ Ρ ΠΌΠ΅ΡΠ°ΡΡΠ°Π·ΠΎΠΌ ΠΎΡ ΠΏΠ΅ΡΠ²ΠΈΡΠ½ΠΎΠΉ ΠΎΠΏΡΡ
ΠΎΠ»ΠΈ ΡΠΈΡΠΎΠ²ΠΈΠ΄Π½ΠΎΠΉ ΠΆΠ΅Π»Π΅Π·Ρ, Ρ Π²ΡΡΠΎΠΊΠΎΠ΄ΠΈΡΡΠ΅ΡΠ΅Π½ΡΠΈΡΠΎΠ²Π°Π½Π½ΠΎΠΉ Π½Π΅ΠΉΡΠΎΡΠ½Π΄ΠΎΠΊΡΠΈΠ½Π½ΠΎΠΉ ΠΎΠΏΡΡ
ΠΎΠ»ΡΡ, Π° ΡΠ°ΠΊΠΆΠ΅ Ρ ΡΠ°ΠΊ Π½Π°Π·ΡΠ²Π°Π΅ΠΌΠΎΠΉ ΡΠΈΡΠ΅ΠΎΠΈΠ΄Π½ΠΎΠΉ ΠΏΠΎΡΠΊΠΎΠΉ, ΡΠ°Π·Π²ΠΈΠ²Π°ΡΡΠ΅ΠΉΡΡ ΠΏΡΠΈ Π΄Π»ΠΈΡΠ΅Π»ΡΠ½ΠΎΠΌ Ρ
ΡΠΎΠ½ΠΈΡΠ΅ΡΠΊΠΎΠΌ ΡΠ΅ΡΠ΅Π½ΠΈΠΈ ΠΏΠΈΠ΅Π»ΠΎΠ½Π΅ΡΡΠΈΡΠ°. ΠΠ°ΠΊΠ»ΡΡΠ΅Π½ΠΈΠ΅. ΠΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Π½ΠΎΠ΅ Π½Π°ΠΌΠΈ Π½Π°Π±Π»ΡΠ΄Π΅Π½ΠΈΠ΅ ΠΏΠ΅ΡΠ²ΠΈΡΠ½ΠΎΠΉ ΡΠΎΠ»Π»ΠΈΠΊΡΠ»ΡΡΠ½ΠΎΠΉ ΠΊΠ°ΡΡΠΈΠ½ΠΎΠΌΡ ΠΏΠΎΡΠΊΠΈ ΡΠ²ΠΈΠ΄Π΅ΡΠ΅Π»ΡΡΡΠ²ΡΠ΅Ρ ΠΎ ΡΠΎΠΌ, ΡΡΠΎ ΡΡΠΎΡ ΡΠ΅Π΄ΠΊΠΈΠΉ Π²Π°ΡΠΈΠ°Π½Ρ ΠΎΠΏΡΡ
ΠΎΠ»ΠΈ ΠΏΠΎΡΠ΅ΠΊ Π½Π΅ΠΎΠ΄Π½ΠΎΡΠΎΠ΄Π΅Π½ ΠΈ ΠΏΠΎ ΠΎΡΠΎΠ±Π΅Π½Π½ΠΎΡΡΡΠΌ ΡΡΡΠΎΠ΅Π½ΠΈΡ, ΠΈ ΠΏΠΎ ΠΈΠΌΠΌΡΠ½ΠΎΡΠ΅Π½ΠΎΡΠΈΠΏΡ ΠΎΠΏΡΡ
ΠΎΠ»Π΅Π²ΡΡ
ΠΊΠ»Π΅ΡΠΎΠΊ. ΠΠ΅ΠΎΠ±Ρ
ΠΎΠ΄ΠΈΠΌΠΎ ΡΠ²Π΅Π»ΠΈΡΠ΅Π½ΠΈΠ΅ ΠΏΠ΅ΡΠΈΠΎΠ΄Π° Π½Π°Π±Π»ΡΠ΄Π΅Π½ΠΈΡ ΠΏΠ°ΡΠΈΠ΅Π½ΡΠΎΠ² ΠΈ Π½Π°ΠΊΠΎΠΏΠ»Π΅Π½ΠΈΠ΅ Π±ΠΎΠ»ΡΡΠ΅Π³ΠΎ ΡΠΈΡΠ»Π° ΡΠ»ΡΡΠ°Π΅Π² Π΄Π°Π½Π½ΠΎΠ³ΠΎ Π·Π°Π±ΠΎΠ»Π΅Π²Π°Π½ΠΈΡ. ΠΡΠΎ ΠΏΠΎΠ·Π²ΠΎΠ»ΠΈΡ Π±ΠΎΠ»Π΅Π΅ ΠΎΠ±ΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎ ΠΎΡΠ΅Π½ΠΈΡΡ ΡΠ°ΡΡΠΎΡΡ Π²ΡΡΡΠ΅ΡΠ°Π΅ΠΌΠΎΡΡΠΈ ΡΡΠΈΡ
ΠΎΠΏΡΡ
ΠΎΠ»Π΅ΠΉ Π² ΠΏΠΎΠΏΡΠ»ΡΡΠΈΠΈ, ΠΈΡ
ΠΊΠ»ΠΈΠ½ΠΈΡΠ΅ΡΠΊΠΈΠ΅ Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊΠΈ ΠΈ ΠΌΠΎΡΡΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΡΡ Π²Π°ΡΠΈΠ°Π±Π΅Π»ΡΠ½ΠΎΡΡΡ
LAPAROSCOPIC RESECTION OF THE HORSESHOE KIDNEY FOR RENAL CELL CARCINOMA
Renal fusion is one of the most common kidney anomalies. The most frequent is horseshoe kidney, characterized by a fusion of the poles (typically the lower poles) of the kidneys. We described a clinical case of a malignant tumor in the right half of the horseshoe kidney (stage 1 cancer, CT1aN0M0) in a man aged 65 years, who underwent laparoscopic resection. It was shown that laparoscopy is no less efficient than open surgery. However, in planning the operation, it is necessary to use spiral computed tomography for three-dimensional reconstruction of the organ and identification of its anatomical features caused by aberrant blood supply to horseshoe kidney
Recovery of mining waste in the complex development of mineral resources
The monograph reflects the results of fundamental and applied research in the field of the use of mining waste and mineral processing The monograph reflects the results of fundamental (carried out in accordance with the Plan of Institute of Comprehensive Exploitation of Mineral Resources Russian Academy of Sciences). Ecologically oriented technologies are justified as a recreation of the real logic of human interaction with the environment. A classification of mining waste is given, and environmental safety requirements for wastes as potential secondary raw materials are developed. The methodological foundations of the analysis of technological solutions based on the mineralogical features of mining waste are generalized. Ecological technologies for processing gold-containing waste from mining enterprises are described. Ecological and technological features of the processing of tailings of processing plants containing thin sludge are considered, the issues of the recycling of secondary products for the treatment of industrial waters of mining enterprises, the relevance and methods of sulfuric acid leaching of copper smelting slag are shown, as well as the problems of large-scale recovery of marble and drill cuttings waste in the production of building materials are discussed. Intended for specialists of mining, processing and metallurgical profiles, researchers, teachers and students of higher educational institutions.
The authors of the monograph: V.A. Chanturia, I.V. Shadrunova, V.A. Zhilina, N.N. Orekhova, O.E. Gorlova, E.V. Zelinskaya, P.K. Fedotov, N.A. Tolmacheva, E.G. Ozhogina, T.V. Chekushina,
N.L. Medyanik, K.A. Vorobyev, N.N. Ryspanov.
This collective monograph is intended specifically for specialists of mining, processing and metallurgical profiles, researchers, teachers and students of higher educational institutions