On the orbit closure containment problem and slice rank of tensors

We consider the orbit closure containment problem, which, for a given vector and a group orbit, asks if the vector is contained in the closure of the group orbit. Recently, many algorithmic problems related to orbit closures have proved to be quite useful in giving polynomial time algorithms for special cases of the polynomial identity testing problem and several non-convex optimization problems. Answering a question posed by Wigderson, we show that the algorithmic problem corresponding to the orbit closure containment problem is NP-hard. We show this by establishing a computational equivalence between the solvability of homogeneous quadratic equations and a homogeneous version of the matrix completion problem, while showing that the latter is an instance of the orbit closure containment problem. Secondly, we consider the notion of slice rank of tensors, which was recently introduced by Tao, and has subsequently been used for breakthroughs in several combinatorial problems like capsets, sunflower free sets, tri-colored sum-free sets, and progression-free sets. We show that the corresponding algorithmic problem, which can also be phrased as a problem about union of orbit closures, is also NP-hard, hence answering an open question by Bürgisser, Garg, Oliveira, Walter, and Wigderson. We show this by using a connection between the slice rank and the size of a minimum vertex cover of a hypergraph revealed by Tao and Sawin

Performance of novel CaO-based sorbents in high temperature CO2 capture under RF heating

The problem of CO₂ mitigation on a small and medium scale can be resolved by developing a combined system of CO₂ capture and its consecutive conversion into valuable products. The first stage of CO₂ looping, however, should be reliable, effective and easy to control and radiofrequency heating, as a new advanced technology, can be used to improve the process. CO₂ absorption and desorption RF units can be installed within power plants and powered during the periods of low energy demand thus stabilizing the electrical grid. In this work, a CaO sorbent produced by template synthesis was studied as a sorbent for a CO₂ looping system under RF heating which offers short start-up times, highly controlled operation, high degree of robustness and low price. The sorbent reached its stable CO₂ capacity of 15.4 wt.% already after 10 temperature cycles (650/850 °C) under RF heating. Higher CO₂ desorption rate and lower degree of the sorbent sintering was observed under RF heating as compared to conventional heating

Проблемы иммунологической диагностики целиакии у детей

In the review it is observed the importance of determination of serum antibodies of different classes (IgA, IgG) to gliadine, reticulin, endomysium, tissue transglutaminase for diagnostics and screening under celiac disease, advantages and disadvantages of methods, peculiarities of immunologic reactions under celiac disease among children of different age, dynamics of titres of antibodies on the background of observance and non observance of gluten-free diet, place of immunologic methods in complex diagnostic of celiac disease and for control for diet observance.В обзоре рассмотрено значение определения сывороточных антител различных классов (IgA, IgG) к глиадину, ретикулину, эндомизиуму, тканевой трансглутаминазе для диагностики и скрининга при целиакии, достоинства и недостатки методов, особенности иммунологических реакций при целиакии у детей различного возраста, динамика титров антител на фоне соблюдения и нарушений безглютеновой диеты, место иммунологических методов в комплексной диагностике целиакии и для контроля за соблюдением диеты

Проблемы иммунологической диагностики целиакии у детей

In the review it is observed the importance of determination of serum antibodies of different classes (IgA, IgG) to gliadine, reticulin, endomysium, tissue transglutaminase for diagnostics and screening under celiac disease, advantages and disadvantages of methods, peculiarities of immunologic reactions under celiac disease among children of different age, dynamics of titres of antibodies on the background of observance and non observance of gluten-free diet, place of immunologic methods in complex diagnostic of celiac disease and for control for diet observance.В обзоре рассмотрено значение определения сывороточных антител различных классов (IgA, IgG) к глиадину, ретикулину, эндомизиуму, тканевой трансглутаминазе для диагностики и скрининга при целиакии, достоинства и недостатки методов, особенности иммунологических реакций при целиакии у детей различного возраста, динамика титров антител на фоне соблюдения и нарушений безглютеновой диеты, место иммунологических методов в комплексной диагностике целиакии и для контроля за соблюдением диеты

Пути совершенствования нормативно-правового регулирования вопросов организации трансплантации (пересадки) органов и(или) тканей человека в Российской Федерации

Over the past 10 years, significant breakthroughs have been achieved in Russian transplantology in the field of regulatory legal framework. During this period, the powers of government authorities in the field of healthcare on organization of transplant care and organ donation have been defined, and sources and mechanisms for target financing of medical activities related to organ donation for transplantation purposes have been identified. The procedure for providing medical care under surgery (human organ and/or tissue transplantation) has been adopted, and a state registry system for donor organs, donors and recipients has been created. Measures on organ donation and transplantation in the Russian Federation have been approved within the «Healthcare Development», a framework of the state program of the Russian Federation. The Shumakov National Medical Research Center of Transplantology and Artificial Organs (Shumakov Center) has also been identified as the core institution that coordinates the activities of the entire transplant industry in the Russian Federation. Transplant medical care is currently being provided by specialist physicians trained in human organ and tissue transplantation, in collaboration with other specialist physicians. The Nomenclature of Specialties of Specialists with Higher Medical and Pharmaceutical Education, approved by the Russian Ministry of Health via Order No. 700n of October 7, 2015, does not contain a separate specialty related to human organ and tissue transplantation activities, and this is quite justified. However, in order to improve the legal regulation of transplantation activities, it is necessary to unify the requirements for specialists providing medical care in human organ/tissue transplantation. This can be achieved by developing uniform approaches to the definition of labor functions in the professional standards of specialist doctors involved in transplantation.За последние 10 лет в отечественной трансплантологии был совершен существенный прорыв в области развития нормативной правовой базы. В этот период были определены полномочия органов государственной власти в сфере охраны здоровья по организации трансплантационной помощи и органного донорства, источники и механизм целевого финансирования медицинской деятельности, связанной с донорством органов в целях трансплантации, принят Порядок оказания медицинской помощи по профилю «хирургия (трансплантация органов и(или) тканей человека)», создана государственная система учета донорских органов, доноров и реципиентов, утверждены мероприятия «Донорство и трансплантация органов в Российской Федерации» в рамках Государственной программы Российской Федерации «Развитие здравоохранения», определено головное учреждение, координирующее деятельность всей отрасли трансплантологии на территории Российской Федерации – ФГБУ «Национальный медицинский исследовательский центр трансплантологии и искусственных органов имени академика В.И. Шумакова» Минздрава России. Медицинская помощь по трансплантации в настоящее время оказывается врачами-специалистами, прошедшими обучение по вопросам трансплантации органов и(или) тканей человека, во взаимодействии с иными врачами-специалистами. В рамках проведенного анализа нормативных правовых актов регулирования вопросов организации трансплантации (пересадки) органов и(или) тканей человека в Российской Федерации отмечаем, что в Номенклатуре специальностей специалистов, имеющих высшее медицинское и фармацевтическое образование, утвержденной приказом Минздрава России от 7 октября 2015 г. № 700н, нет отдельной специальности, связанной с деятельностью по трансплантации органов и(или) тканей человека, что вполне обоснованно. Однако в целях совершенствования нормативно-правового регулирования организации трансплантации следует унифицировать требования, предъявляемые к специалистам, оказывающим медицинскую помощь в рамках трансплантации органов и(или) тканей человека путем формирования единообразных подходов к определению трудовых функций в профессиональных стандартах врачей-специалистов, участвующих в трансплантации