The error of solution of Cauchy problems for systems of ordinary differential equations is estimated in the case where the input data are approximate. It is shown how to prepare a program for computing the right-hand sides of the system automatically and simultaneously. Diagrams are presented to illustrate the efficiency of parallelization.Keywords: Cauchy problem for systems of ordinary differential equations, distributed-memory MIMD computers, parallelizing of computations, approximate initial data.A need often arises in various applications to solve a system of ordinary differential equations (SODE) with initial conditions (i.e., Cauchy problems for SODE). They may both be an independent class of problems and arise during solution of more complicated mathematical problems. Such problems have to be solved in, for example, describing time-dependent motions, processes, and phenomena. These systems describe, in particular, chemical kinetics and processes in nuclear reactors, dynamic problems of strength analysis of structures based on the three-dimensional finite-element method, etc.In problems concerned with the motion of controlled objects, SODE should often be solved faster than the process runs in real time, the more so that their solution requires multivariant computing. Such problems can be solved efficiently using computers that allow parallel computations, in particular, MIMD computers [1]. The present paper shows how to implement efficiently some basic algorithms on distributed-memory MIMD computers to solve systems of ordinary differential equations with approximate initial data.Let us consider a Cauchy problem for an SODE of the nth order on the interval [ , ] t T 0
Резюме. Первичные иммунодефицитные состояния (ПИДС)-это генетически детерминированные дефекты одного или нескольких звеньев иммунной системы, препятствующие нормальному осуществлению иммунных функций. Иммунодефициты, при которых значительно нарушено антителообразование, являются наиболее часто встречаемыми и составляют около 50% от общего количества ПИДС. Описан клинический случай первичного иммунодефицитного состояния (ПИДС): Х-сцепленная агаммаглобулинемия у мальчика 8 лет. Результаты молекулярно-генетического исследования: ген ВТК (ex 1-19) версия генома GRCh38.p5, версия транскрипта ENST00000308731 выявлена однонуклеотидная замена с.1027С > Т в гомозиготном состоянии, приводящая к возникновению преждевременного стоп-кодона p.Gln343Ter (p.Q343*).
Objective: Conducting comparative analysis of the clinical and laboratory features of the course of community-acquired bacterial pneumonia and pneumonia in the presence of laboratory-confirmed coronavirus infection (COVID-19) in children in Krasnoyarsk.Methods: A retrospective clinical and laboratory analysis of 68 medical histories of children having a laboratory-confirmed diagnosis of a new coronavirus infection (COVID-19) complicated by pneumonia (2020), as well as 52 medical histories of children having community-acquired bacterial pneumonia (2019) is presented.Results: More than half of the cases fall on children older than 7 years. Boys prevailed in both groups. The majority of children in group 1 had a moderate form of COVID-19 course. Cough is the most common symptom in children having bacterial pneumonia. Children having COVID-19 pneumonia had symptoms that were not present in children of group 2: headache – in 19.1% of cases, myalgia – 7.4%, various dyspeptic disorders. In more than 80% of cases of bacterial pneumonia, there were percussion sound dullness and local decreased breath sounds, and more frequent detection of adverse respiratory noises. Changes in the peripheral blood in children with COVID-19 were non-specific.Conclusions: Clinical course of pneumonia in the presence of laboratory-confirmed coronavirus infection (COVID-19) in children has its specific clinical features. The most common symptoms are headache, myalgia, dyspeptic disorders. Children with bacterial pneumonia were more likely to suffer from cough and a strongly marked intoxication syndrome.
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