Stochastic Geometry for Population-Dynamic Modeling: A Dieckmann Model with Immovable Individuals
A study is performed of the main approaches to investigating the stochastic process of
population dynamics. Continuous time and space and immovable individuals are used to derive a
denumerable system of integrodifferential equations corresponding to the dynamics of the spatial
momentum of this process. A way to find an approximate solution using the momentum approach is
The collection presents the reports of the VII International Conference "Mathematical Biology and Bioinformatics" heldby the Institute of Mathematical Problems of Biology, Russian Academy of Sciences in Pushchino, Moscow Region, October 14–19, 2018, with the participation of the Scientific Council on Mathematical Biology and Bioinformatics, Russian Academy of Sciences. The conference was held with the financial support of the Russian Foundation for Basic Research (grant #18-07-20040).
The methods of biomechanical systems design with artificial elements are analyzed. The data of high-precision measurements of all set of the biometric characteristics, determining of biomechanical system is a basis of mathematical model. The calculations allows to predict complications at denture installation.
The Conference “Mathematical Modeling and Computational Physics 2015” is jointly organized by the Joint Institute for Nuclear Research (JINR), Dubna, Russia, the Technical University (TU), Institute of Experimental Physics SAS, the Pavol Jozef Šafárik University (UPJŠ), Košice, Slovakia, and the IFIN-HH, Bucharest, Romania.
The Conference follows the rich traditions of the previous conferences on mathematical modeling, numerical methods and computational physics that have been held in Dubna, Russia and also in Slovakia since 1964, e.g., Computational Modeling and Computing in Physics 1996, Modern Trends in Computational Physics 1998, V. International Congress on Mathematical Modeling 2002, Mathematical Modeling and Computational Physics 2006, 2009, 2011, and 2013. This year Conference is dedicated to the 60th anniversary of JINR.
This paper is devoted to mathematical modelling of the progression and stages of breast cancer. The Consolidated mathematical growth Model of primary tumor (PT) and secondary distant metastases (MTS) in patients with lymph nodes MTS (Stage III) (CoM-III) is proposed as a new research tool. The CoM-III rests on an exponential tumor growth model and consists of a system of determinate nonlinear and linear equations. The CoM-III describes correctly primary tumor growth (parameter T) and distant metastases growth (parameter M, parameter N). The CoM-III model and predictive software: a) detect di erent growth periods of primary tumor and distant metastases in patients with lymph nodes MTS; b) make forecast of the period of the distant metastases appearance in patients with lymph nodes MTS; c) have higher average prediction accuracy than the other tools; d) can improve forecasts on survival of breast cancer and facilitate optimisation of diagnostic tests. The CoM-III enables us, for the rst time, to predict the whole natural history of PT and secondary distant MTS growth of patients with/without lymph nodes MTS on each stage relying only on PT sizes.
The article highlights the reports of X International Symposium on Evolutionary Economics (Russia, Pushchino, Moscow Region, September 12-14, 2013).
This proceedings publication is a compilation of selected contributions from the “Third International Conference on the Dynamics of Information Systems” which took place at the University of Florida, Gainesville, February 16–18, 2011. The purpose of this conference was to bring together scientists and engineers from industry, government, and academia in order to exchange new discoveries and results in a broad range of topics relevant to the theory and practice of dynamics of information systems. Dynamics of Information Systems: Mathematical Foundation presents state-of-the art research and is intended for graduate students and researchers interested in some of the most recent discoveries in information theory and dynamical systems. Scientists in other disciplines may also benefit from the applications of new developments to their own area of study.