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On Consolidated Predictive Model of the Natural History of Breast Cancer: Primary Tumor and Secondary Metastases in Patients with Lymph Nodes Metastases
P. 60–66.
Ella Y Tyuryumina, Neznanov A.
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.
Publication based on the results of:
In book
NY: Association for Computing Machinery (ACM), 2017.
М.: ИВИ РАН, 2026.
Выпуск содержит статьи участников XXXVIII Чтений па мяти чл.-корр. АН СССР В.Т. Пашуто, посвященных формам «проявления» будущего в настоящем; месту и роли «будущего в настоящем» в литературном тексте; жанровым особенностям «текстов о будущем»; влиянию предсказаний на реальное бу дущее; социокультурному значению «будущего в настоящем». Эта проблематика раскрывается на материале европейских и азиатских обществ Древности и ...
Added: April 17, 2026
Samsonova E. S., Zheltukhin V. S., Shemakhin A.Y, et al., High Energy Chemistry 2024 Vol. 58 No. Suppl. 3 P. S393–S399
A two-dimensional axisymmetric plasma model of a radio frequency induction discharge of low pressure (13–133 Pa) with gas blowing is presented. The model includes the Navier−Stokes equations, the continuity equations for ions, electrons, and metastable atoms, the equations for the conservation of energy of electrons and atoms in the ground state, and the Maxwell equations ...
Added: February 26, 2026
Abdullin I. S., Zheltukhin V. S., A. Yu. Shemakhin, Journal of Engineering Physics and Thermophysics 2024 Vol. 97 No. 2 P. 480–493
A self-consistent end-to-end model defining a radio-frequency inductive jet discharge of lowered pressure (13.3–133 Pa) in an undisturbed gas flow and in the presence of a solid body has been proposed. The model comprises three interrelated submodels defining the parts of such a discharge, participating in its interaction with the material treated: the plasma jet, ...
Added: February 26, 2026
Урюпин И. В., Sukharev A., Vlasenko A., Информационные технологии и вычислительные системы 2023 № 3 С. 79–92
Transportation systems including air transportation play one of the most important roles in the economic and social development of any country. The effectiveness of the quality of control of such complex systems can be assessed according to various criteria, from the cost of developing infrastructure to the degree of satisfaction of the population with transport. ...
Added: February 24, 2026
Урюпин И. В., Vlasenko A., Экономика и математические методы 2024 Т. 60 № 2 С. 92–104
At present, in an unstable geopolitical situation, one of the most important tasks for the Russian Federation is the creation of advanced domestic aircraft that will not be inferior to its foreign counterparts. The cost of operating is the main criterion in the design of a new aircraft to ensure competitiveness in air transport systems. ...
Added: February 24, 2026
Урюпин И. В., Vlasenko A., Sukharev A., Экономика и математические методы 2025 Т. 61 № 4 С. 73–85
At present development of advanced civil aircraft is one of the key priorities in Russia. To become commercially successful advanced civil aircraft should provide competitive lifecycle costs. Accordingly, it requires balancing operational expenses and consumer-acceptable pricing during an aircraft design phase. However, price evaluation of a prospective aircraft with the analog method or the income ...
Added: February 24, 2026
Akaev A., Давыдова О. И., Korotayev A., Философия и общество 2025 № 4(117) С. 5–46
This article presents a comprehensive macroeconomic analysis of countries grouped into civilizational clusters based on a cultural-historical approach. The object of the study is the macroeconomic dynamics of states in the context of civilizational differences, and the subject is the model-based assessment and forecast of GDP growth rates for the period up to 2050. The ...
Added: February 24, 2026
Morozov D., Философский журнал 2026 Т. 19 № 1 С. 134–146
The article examines the status of philosophical prediction as a distinct type of historiosophical discourse. The specificity of such prediction is analyzed through the case study of N. A. Berdyaev's work “The New Middle Ages”, published in 1924. It presents a substantive vision of an impending era characterized by a revival of a religious worldview. The ...
Added: January 26, 2026
Nizomutdinov B., Olga G. Filatova, , in: Proceedings of the 2025 Communication Strategies in Digital Society Seminar (2025 ComSDS), 9 April 2025.: IEEE, 2025. P. 248–253.
The modern development of urban digital services greatly simplifies the interaction of citizens and authorities, making it urgent to find new approaches to analyze their effectiveness. The study examined user reviews of the Unified Map of St. Petersburg mobile application as a data source for evaluating the social effectiveness of electronic services. The main hypothesis ...
Added: January 13, 2026
A. V. Titova, S. D. Korolkov, V. V. Izmodenov, Lobachevskii Journal of Mathematics 2025 Vol. 46 No. 9 P. 4526–4533
The stability of the heliopause, the tangential discontinuity separating the solar wind from the interstellar medium, is influenced by various processes, including the Kelvin–Helmholtz instability. This study investigates the role of charge exchange collisions between protons and hydrogen (H) atoms in reduction of the Kelvin–Helmholtz growth rate at the heliopause. Using a two-dimensional gasdynamic model ...
Added: January 12, 2026
Андреева А. А., Utkin B., Grachev N. N. et al., В кн.: Шарыгинские чтения. Шестая международная научная конференция веду щих научных школ в области радиолокации, радионавигации и радио- электронных систем передачи информации.: Томск: Издательство Томского государственного университета систем управления и радиоэлектроники, 2024. С. 135–140.
A comparison of methods for constructing mathematical models of electrical contacts for studying the formation of contact radio interference is carried out. In particular, three main models of contact resistance control are considered, as well as their analysis and recommendations for their use in solving the problem of predicting contact radio interference are proposed. ...
Added: June 29, 2025
Silkina M., Razumovskaya A., Timur Kulagin et al., Biochimie 2025 Vol. 234 P. 48–61
Breast cancer remains a major challenge and new therapeutic approaches are needed for its treatment. Ferroptosis is considered a promising alternative cell death mechanism to eliminate resistant cancer cells. In previous works, we identified that lower IGFBP6 gene expression in tumor tissue corresponds to a worse prognosis for breast cancer patients and, at the same, time makes ...
Added: April 9, 2025
Razumovskaya A., Кулагин Т. А., Fatkulin A. et al., Биотехнология 2024 Т. 40 № 6 С. 74–83
To date, breast cancer is the most common oncological pathology among the female population both in Russia and worldwide. Previously, our laboratory team identified a significant prognostic marker for breast cancer, namely the ELOVL5 gene, the expression level of which in couple with the IGFBP6 gene allowed to predict the probability of breast cancer recurrence ...
Added: November 11, 2024
Болдырев К. А., Glushak A., Pisarev V. et al., Радиоактивные отходы 2024 № 3 С. 83–95
This article overviews global and Russian atomistic modelling experience in exploring the properties of clay and cement-based materials for the long-term safety assessment of high-level waste (HLW) repositories. It explains the general concept of molecular dynamics simulation providing some case studies solved based on it. It discusses the accuracy of the calculated parameters and coefficients, ...
Added: September 30, 2024
Shkurnikov M., Darya Averinskaya, Stekolshchikova E. et al., Biochimie 2024 Vol. 227 P. 77–85
Breast cancer recurrence is associated with the growth of disseminated cancer cells that separate from the primary tumor before surgical treatment and hormonal therapy and form a metastatic niche in distant organs. We previously demonstrated that IGFBP6 expression is associated with the risk of early relapse of luminal breast cancer. Knockdown of IGFBP6 in MDA-MB-231 breast cancer ...
Added: August 14, 2024
Alexandrov A. E., S. P. Borisov, Bunina L. V. et al., Российский технологический журнал 2023 Vol. 11 No. 3 P. 56–69
Objectives. The wear monitoring of metal structural elements of power plants-in particular, pipelines of nuclear power plants-is an essential means of ensuring safety during their operation. Monitoring the state of the pipeline by direct inspection requires a considerable amount of labor, as well as, in some cases, the suspension of power plant operation. In order ...
Added: March 21, 2024
IEEE, 2022.
This collection of scientific papers contains articles written based on reports given at the conference "4th International Conference on Control Systems, Mathematical Modeling, Automation and Energy Efficiency (SUMMA)". This conference took place in Lipetsk (Russia) on November 9-11, 2022.
The articles cover a wide range of topics corresponding to the following topics:
I. Industrial Applied Mathematics and ...
Added: February 15, 2024
IEEE, 2023.
Added: February 14, 2024
Урюпин И. В., Sukharev A., Власенко А. О., Информационные технологии и вычислительные системы 2023 № 3 С. 79–92
Transportation systems including air transportation play one of the most important roles in the economic and social development of any country. The effectiveness of the quality of control of such complex systems can be assessed according to various criteria, from the cost of developing infrastructure to the degree of satisfaction of the population with transport. ...
Added: January 12, 2024
Springer, 2023.
This volume gathers together selected peer-reviewed works presented at the BIOMAT 2022 International Symposium, which was virtually held on November 7-11, 2022, with an organization staff based in Rio de Janeiro, Brazil.
Topics touched on in this volume include infection spread in a population described by an agent-based approach; the study of gene essentiality via network-based ...
Added: November 7, 2023
Akaev A., Malkov S., Bilyuga S. et al., , in: Reconsidering the Limits to Growth. A Report to the Russian Association of the Club of Rome.: Springer, 2023. P. 253–307.
Akaev et al. outline their methodological approach to mathematical modeling of social self-organization and historical dynamics, which is used in the study of processes occurring in the world and in forecasting further world development. They describe basic equations (in the demographic, ecological, economic, technological, social, and political spheres) and the order of their use in ...
Added: October 5, 2023