Объединенная математическая модель роста первичной опухоли и первичных метастазов рака молочной железы (IV стадия РМЖ)
Simulating principles of proposed attribute (A) and object-attribute (OA) architectures of computer systems (CS) that implement the dataflow execution model, and the results of a dataflow-supercomputer system simulation are described. A new formalism of "Attribute Nets" (A-nets) is proposed for mathematical modeling of dataflow-CS that differs significantly from apparatus of Petri Nets. This formalism lays foundation for the OA-programming&simulation environment of a dataflow-CS which is used in development programming and test of the OA-supercomputer system.
The considered model of the failure rate of CMOS VHSIC design proposed in the article Piskun G.A., Alekseev V.F., "Improvement of mathematical models calculating of CMOS VLSIC taking into account features of impact of electrostatic discharge", published in the first issue of the journal "Technologies of electromagnetic compatibility" for the year 2016. It is shown that the authors claim that this model "...will more accurately assess the reliability of CMOS VHSIC design" is fundamentally flawed and its application will inevitably lead to inadequate results. Alternatively, the proposed model of the failure rate of CMOS VHSIC design, which also allows to take into account the views of ESD, but based on the use of resistance characteristics of CMOS VHSIC to the effects of ESD.
By analyzing the logs of corporate e-mail networks we found a number of patterns, showing how the size of ego-networks of individual employees changes on a day by day basis. We proposed a simple model that adequately describes the observed time dependence of an employee's "social circle". Comparison of experimental data with the theoretical model showed that employees are divided into two groups - with fast and slow changes in their social circles, respectively. We believe that the presence of these groups reflects both project-type and process-type of employees' activities. Comparison of data obtained before and during the global economic crisis has shown that the crisis led to an actual reduction in project-type activities.
In the article "Secondary electronic emission and methods of its study" by author D.P Nikolaev physical and mathematical process models of secondary electronic emission of secondary electrons, wrested from hurled when irradiating a surface of metal by the flow of primary electrons are considered . Analysis of processes, running in the efficient emitters at the condition of irradiating by scanning bunch and choice necessary hardware and technical facilities has been offered. It has been considered an inaccuracy of measurement of secondary electronic emission factor under different checking. The theoretical motivations for the building mathematical models of leaving the secondary electrons from the solid-state under the action of falling on it flow of primary electrons are considered. On mathematical models, based on the result of deciding a kinetic equation, an algorithm of calculation of true secondary electronic emission factor depending on energy of primary electrons has been designed. A structured scheme of automated software-technical complex, allowing measure a factor of secondary electronic emission of different material with the high degree of validity are stated.
The volume contains articles of scientific staff and faculty of the Department of Computer Science and Applied Mathematics and Scientific-Educational Center of computer modeling of unique buildings and complexes of Moscow State University of Civil Engineering (National Research University), devoted to actual problems of applied mathematics and computational mechanics.