МОРФОМЕТРИЧЕСКИЙ АНАЛИЗ ПРИМЕНИМОСТИ УРАВНЕНИЙ MURRAY C.D. ДЛЯ ЧИСЛЕННОГО МОДЕЛИРОВАНИЯ СОСУДИСТЫХ ДИХОТОМИЙ ПОЧКИ ЧЕЛОВЕКА
Аннотация
Цель. Провести анализ применимости уравнений Murray C. D. для расчёта значений углов дихотомий внутриорганного артериального и венозного русел почки человека.
Материал и методы. Были исследованы внутриорганные артерии и вены почек. Почки полученны на аутопсии у людей (возраст от 36 до 74 лет; 9 человек мужского пола, 8 – женского), изготовлены 17 коррозионных препаратов: 9 препаратов артериальное русло, 8 – венозное. Визуализацию проводили с помощь микротомографа BRUNKER SkyScan 1178. Для морфометрии использовали программный пакет blender с надстройкой NeuroMorph Measuring tools. Измеряли диаметры сегментов (D, dmax, dmin) и углы между ними (αmax, αmin). Для расчетов углов дихотомии пользовались уравнениями Murray C. D.
Результаты. Установлено наличие четырех структурно-различных типов дихотомий, составляющих внутриорганное сосудистое русло почки. Показано, что применять уравнение Murray C. D. для расчетов величины угла αmax можно для любых структурно-различных типов сосудистых дихотомий почки человека. Однако использовать уравнение Murray C. D. для расчетов значений угла αmin нельзя для артериальных и венозных дихотомий 1-го структурно-различного типа и для 2-го типа венозных дихотомий.
Заключение. Применение уравнений Murray C. D. для численного моделирования сосудистых дихотомий почки человека носит ограниченный характер. Это необходимо учитывать при создании структурных математических моделей сосудистого русла почки человека.
Скачивания
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