Неустойчивость двухслойных течений в проливах Черного моря

Рассмотрена плоская задача о прогрессивных гравитационных внутренних волнах в горизонтальном двухслойном течении Кельвина-Гельмгольца. Найдено аналитическое решение задачи и условия существования внутренних волн. Для течений с параметрами, типичными для пролива Босфор и Керченского пролива, рассчитаны характеристики бароклинных волн. В пространстве волновых чисел определены диапазоны устойчивости и неустойчивости двухслойных течений с характерными для этих проливов параметрами относительно малых возмущений в форме прогрессивных волн.Розглянуто плоску задачу про прогресивні гравітаційні внутрішні хвилі у горизонтальній двошаровій течії Кельвіна-Гельмгольца. Знайдено аналітичне рішення задачі та умови існування внутрішніх хвиль. Для течій з параметрами, типовими для протоки Босфор і Керченської протоки, розраховані характеристики бароклінних хвиль. У просторі хвильових чисел визначені діапазони стійкості і нестійкості двошарових течій з характерними для цих проток параметрами відносно малих збурень у формі прогресивних хвиль.The plane problem of the progressive internal gravity waves in a horizontal two-layer Kelvin-Helmholtz flow is considered. The analytical solution of the problem and the conditions of existence of internal waves are found. For the flows with the typical parameters for the Bosphorus Strait and the Strait of Kerch, characteristics of baroclinic waves are calculated. The stability and instability regimes of two-layer currents with characteristic parameters of these straits with respect to small wave disturbances are found in the space of wave numbers

Coverage of Lateral Lymph Nodes in Rectal Cancer Patients with Routine Radiation Therapy Practice and Associated Locoregional Recurrence Rates

Purpose: Involved internal iliac and obturator lateral lymph nodes (LLNs) are a known risk factor for the occurrence of ipsilateral local recurrences (LLR) in rectal cancer. This study examined coverage of LLNs with routine radiation therapy practice in the Netherlands and associated LLR rates. Methods and Materials: Patients with a primary tumor ≤8 cm of the anorectal junction, cT3-4 stage, and at least 1 internal iliac or obturator LLN with short axis ≥5 mm who received neoadjuvant (chemo)radiation therapy, were selected from a national, cross-sectional study of patients with rectal cancer treated in the Netherlands in 2016. Magnetic resonance images and radiation therapy treatment plans were reviewed regarding segmented LLNs as gross tumor volume (GTV), location of LLNs within clinical target volume (CTV), and received proportion of the planned radiation therapy dose. Results: A total of 223 out of 3057 patients with at least 1 LLN ≥5 mm were selected. Of those, 180 (80.7%) LLNs were inside the CTV, of which 60 (33.3%) were segmented as GTV. Overall, 202 LLNs (90.6%) received ≥95% of the planned dose. Four-year LLR rates were not significantly higher for LLNs situated outside the CTV compared with those inside (4.0% vs 12.5%, P =.092) or when receiving &lt;95% versus ≥95% of the planned radiation therapy dose (7.1% vs 11.3%, P =.843), respectively. Two of 7 patients who received a dose escalation of 60 Gy developed an LLR (4-year LLR rate of 28.6%). Conclusions: This evaluation of routine radiation therapy practice showed that adequate coverage of LLNs was still associated with considerable 4-year LLR rates. Techniques resulting in better local control for patients with involved LLNs need to be explored further.</p