Discretization of a matrix in the problem of quadratic functional binary minimization

The capability of discretization of matrix elements in the problem of quadratic functional minimization with linear member built on matrix in N-dimensional configuration space with discrete coordinates is researched. It is shown, that optimal procedure of replacement matrix elements by the integer quantities with the limited number of gradations exist, and the efficient of minimization does not reduce. Parameter depends on matrix properties, which allows estimate the capability of using described procedure for given type of matrix, is found. Computational complexities of algorithm and RAM requirements are reduced by 16 times, correct using of integer elements allows increase minimization algorithm speed by the orders.Comment: 11 pages, 4 figures, in Russian languag

Лечение высокоэнергетических повреждений грудного и поясничного отделов позвоночника

Introduction. Surgical treatment of patients with spinal injuries with traumatic spinal canal stenosis is an important and widely discussed problem of contemporary vertebrology. Injuries to the spine in the incidence structure of isolated or combined injuries occupy a special place due to their high social and clinical significance. Long-term outcomes of traumatic disease in patients with combined trauma to the thoracic and lumbar spine are studied, as before, by ever larger groups of researchers in connection to the new generations of spinal fixation devices being introduced.Materials and methods. 111 patients with various thoracolumbar spine injuries treated surgically were included in the study. In 40 patients, the post-traumatic stenosis was treated with the use of ligamentotaxis and transpedicular osteosynthesis. Thll–Thl2, Th12–L1 and L1–L2 were the most frequent localisations of the level of injury in the study group.Results and discussion. The immediate treatment outcomes observed were as follows — good in 33 (82.5%) cases, satisfactory in 6 (15.0%), unsatisfactory — in 1 (2.5%). Long-term outcomes with follow-up longer than a year were recorded in 27 (67.5%) patients with good outcomes in 20 (74.1%) and satisfactory in 7 (25.9%).Conclusion. A correct stabilisation with metal systems makes it possible to verticalize the patient quickly and shorten the rehabilitation period in all patients including those of active working age, as well as minimize the risks in the long term.Введение. Хирургическое лечение пациентов с повреждениями позвоночника, сопровождающимися травматическим стенозом позвоночного канала, является актуальной и обсуждаемой проблемой современной вертебрологии. Повреждения позвоночника в структуре изолированной и множественной травмы занимают особое место по причине высокой социальной и клинической значимости. Отдаленный период травматической болезни при сочетанной травме грудного и поясничного отделов позвоночника по-прежнему изучается большими группами исследователей в связи с внедрением новых поколений фиксаторов.Материалы и методы. Проведено оперативное лечение 111 больных с различными повреждениями грудопоясничного отдела позвоночника. У 40 больных проведено устранение посттравматического стеноза методом лигаментотаксиса с применением транспедикулярного остеосинтеза. Наиболее частыми локализациями уровня повреждения среди пациентов с повреждениями грудопоясничного отдела в группе исследования были сегменты позвоночного столба на уровне Thll–Thl2,Тh12–L1 и L1–L2.Результаты и обсуждение. Ближайшие результаты лечения прослежены у всех пациентов: хорошие получены в  33  (82,5  %) случаях; удовлетворительные  — в 6 (15,0  %), неудовлетворительные  — в 1 (2,5  %). Отдаленные результаты со сроком наблюдения более 1 года прослежены у 27 (67,5 %) пациентов; у 20 (74,1 %) получены хорошие, у 7 (25,9 %) — удовлетворительные.Заключение. Корректная стабилизация металлоконструкцией позволяет в кратчайшие сроки вертикализировать пациента и сократить сроки реабилитации, в том числе у пациентов трудоспособного возраста, с наибольшей вероятностью минимального возникновения риска в отдаленном период

Treatment of High-Impact Injuries of Thoracic and Lumbar Spine

Introduction. Surgical treatment of patients with spinal injuries with traumatic spinal canal stenosis is an important and widely discussed problem of contemporary vertebrology. Injuries to the spine in the incidence structure of isolated or combined injuries occupy a special place due to their high social and clinical significance. Long-term outcomes of traumatic disease in patients with combined trauma to the thoracic and lumbar spine are studied, as before, by ever larger groups of researchers in connection to the new generations of spinal fixation devices being introduced.Materials and methods. 111 patients with various thoracolumbar spine injuries treated surgically were included in the study. In 40 patients, the post-traumatic stenosis was treated with the use of ligamentotaxis and transpedicular osteosynthesis. Thll–Thl2, Th12–L1 and L1–L2 were the most frequent localisations of the level of injury in the study group.Results and discussion. The immediate treatment outcomes observed were as follows — good in 33 (82.5%) cases, satisfactory in 6 (15.0%), unsatisfactory — in 1 (2.5%). Long-term outcomes with follow-up longer than a year were recorded in 27 (67.5%) patients with good outcomes in 20 (74.1%) and satisfactory in 7 (25.9%).Conclusion. A correct stabilisation with metal systems makes it possible to verticalize the patient quickly and shorten the rehabilitation period in all patients including those of active working age, as well as minimize the risks in the long term