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Consolidated mathematical growth Model of Breast Cancer CoMBreC
Ch. 3. P. 19–42.
Ella Y Tyuryumina
This paper is devoted to mathematical modelling of the progression considering stages of breast cancer. Given the relation between primary tumor (PT) and metastases (MTS), the problem of discovering breast cancer (BC) process seems to be twofold: firstly, it is im- portant to describe the whole natural history of BC to understand the process as a whole; secondly, it is necessary to predict the period of a clinical MTS manifestation. In order to understand growth processes of BC on each stage CoMBreC was proposed as a new research tool. The CoMBreC is threefold: CoMPaS (stages I-II), CoM-III (stage III) and CoM-IV (stage IV). A new model rests on exponential growth model and complementing formulas. For the first time, it allows us to calculate different growth periods of PT and MTS in patients with/without lymph nodes MTS: 1) non-visible period for PT; 2) non- visible period for MTS; 3) visible period for MTS. Calculations via CoMBreC correspond to survival data considering stage of BC. It may help to improve predicting accuracy of BC process using an original mathematical model referred to CoMBreC and corresponding software. Consequently, thesis concentrated on: 1) modelling the whole natural history of PT and MTS in patients with/without lymph nodes MTS; 2) developing adequate and precise CoMBreC that reflects relations between PT and MTS; 3) analysing the CoMBreC scope of application. The CoMBreC was implemented to iOS application as a new predictive tool: 1) is a solid foundation to develop future studies of BC models; 2) does not require any expensive diagnostic tests; 3) is the first predictor of survival in breast cancer that makes forecast using only current patient data.
Publication based on the results of:
In book
Issue 6. , EasyChair, 2018.
Aczel B., Szaszi B., Clelland H. et al., Nature 2026 Vol. 652 P. 135–142
The same dataset can be analysed in different justifiable ways to answer the same research question, potentially challenging the robustness of empirical science. ...
Added: January 27, 2026
Springer Publishing Company, 2025.
The three-volume set LNCS 14476-14478 constitutes the post conference proceedings of the 4th International Conference on Numerical Computations: Theory and Algorithms, NUMTA 2023, held in Pizzo Calabro, Italy, during June 14–20, 2023.
The 45 full papers presented in this book together with 60 short papers were carefully reviewed and selected from 170 submissions.
The papers focus on ...
Added: November 23, 2025
Dvoinin A., Информация и образование: границы коммуникаций 2025 Т. 25 № 17 С. 125–127
The article discusses problems of applying statistical methods in pedagogical research: the lack of informative indicators, template types of analysis, fabrication of calculations, p-hacking and others. ...
Added: August 19, 2025
Maillard J. P., Mihalchenko A., Novikov D. et al., Physical Review D - Particles, Fields, Gravitation and Cosmology 2024 Vol. 109 No. 2 Article 023523
We present a signal-foreground separation algorithm for filtering observational data to extract spectral distortions of the cosmic microwave background (CMB). Our linear method, called the least response method (LRM), is based on the idea of simultaneously minimizing the response to all possible foregrounds with poorly defined spectral shapes and random noise while maintaining a constant ...
Added: April 26, 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
Ишанхонов А. Ю., Pshichenko D., Можаровский Е. А. et al., Программные системы и вычислительные методы 2024 № 4 С. 140–150
The role of Large Language Models (LLM) in new generation integrated development environments (IDEs). Tools such as GitHub Copilot, IntelliCode and Alice Code Assistant are explored in the context of their use in programming. The authors examine how LLMs enable the automation of key development tasks, including code autocompletion, error detection, refactoring, and code generation, ...
Added: March 10, 2025
Pshichenko D., Znanstvena misel 2024 No. 96 P. 38–42
The article analyzes the application of artificial intelligence (AI) models for forecasting market volatility (MV). Examples of algorithms such as recurrent neural networks (RNN), long short-term memory (LSTM) networks, and regression methods are studied, demonstrating their effectiveness in processing time series and identifying complex data patterns. The importance of integrating machine learning (ML), as a ...
Added: March 10, 2025
Кузнецов И. А., Бобунов А. Ю., Бушуев С. А. et al., Конкурентоспособность в глобальном мире: экономика, наука, технологии 2024 № 9 С. 56–61
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Added: March 10, 2025
Mustafina N. I., Plaksin M. A., Mikisheva P. A., Proceedings of the Institute for System Programming of the RAS 2024 Vol. 36 No. 2 P. 47–58
The article discusses the issues of planning and resource management in the process of testing
software systems. The paper presents the ACC analysis method used at Google to optimize the distribution of
efforts for testing different parts of the system. Extending the method by adding a fourth characteristic - actors
(roles of system users) – allows for a ...
Added: February 17, 2025
Krivonosov M., Nazarenko T., Ushakov V. et al., Technologies 2025 Vol. 13 No. 1 Article 13
This paper introduces a novel approach for classifying multidimensional physiological and clinical data using Synolitic Graph Neural Networks (SGNNs). SGNNs are particularly good forto addressing the challenges posed by high-dimensional datasets, particularly in healthcare, where traditional mMachine lLearning and Artificial Intelligence methods often struggles to find global optima due to the “curse of dimensionality”. To ...
Added: December 23, 2024
Kishankumar Bhimani, Saradva K., Системы и средства информатики 2024 Vol. 34 No. 4 P. 115–136
An increasing number of domains in science and industry rely on the intensive use of data. In such domains, obtaining new knowledge is almost impossible without the use of modern methods of data analysis and visualization. A typical example is the domain of human resource (HR) management. This paper proposes an approach to the application ...
Added: December 9, 2024
Aaij R., Abdelmotteleb A. S., Abellan Beteta C. et al., Physical Review D - Particles, Fields, Gravitation and Cosmology 2024 Vol. 110 No. 7 Article 072002
A sample of 𝑝𝑝 collision data, corresponding to an integrated luminosity of 5.5 fb−1 and collected by the LHCb experiment during LHC Run 2, is used to measure the ratio of the lifetime of the Ξ−𝑏 baryon to that of the Λ0𝑏 baryon, 𝑟𝜏 ≡𝜏Ξ−𝑏/𝜏Λ0𝑏. The value 𝑟𝜏 =1.076 ±0.013 ±0.006 is obtained, where the first uncertainty is statistical and the second systematic. This value is averaged with the corresponding value ...
Added: December 6, 2024
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
P. A. Bespalov, O. N. Savina, Жаравина П. Д., Solar-Terrestrial Physics, Россия 2024 Vol. 10 No. 3 P. 81–90
threshold condition has been estab-lished for excitation of VLF electromagnetic radiation with a chorus structure of the dynamic spectrum in the daytime magnetosphere using the BPA (Beam Pulse Amplifier) mechanism for amplifying short noise elec-tromagnetic pulses. The kappa distribution was used as a model function of the electron velocity distribution in the magnetosphere. Calculations performed ...
Added: October 13, 2024
Bespalov P. A., Savina O., Жаравина П. Д., Солнечно-земная физика 2024 Т. 10 № 3 С. 88–96
A threshold condition has been estab-lished for excitation of VLF electromagnetic radiation with a chorus structure of the dynamic spectrum in the daytime magnetosphere using the BPA (Beam Pulse Amplifier) mechanism for amplifying short noise elec-tromagnetic pulses. The kappa distribution was used as a model function of the electron velocity distribution in the magnetosphere. Calculations ...
Added: October 13, 2024
Derezovskiy I., Shaimov N., Lomazova I. A. et al., Proceedings of the Institute for System Programming of the RAS 2024 Vol. 36 No. 4 P. 155–168
This paper proposes a method to visualize models of acyclic processes based on merging DirectlyFollows Graphs (DFG) and Sankey diagrams. DFG is a popular graphical model to visualize discrete process models, while Sankey diagrams are used to represent flows of any kind. Our approach, based on flow diagrams, allows us to highlight individual cases or ...
Added: October 3, 2024
Manivelan S. V., Srinivasan S., Thamilmaran K. et al., Chaos 2024 Vol. 34 No. 9 Article 091102
In this article, we present evidence of a distinct class of extreme events that occur during the transient chaotic state within network modeling using the Brusselator with a mutually coupled star network. We analyze the phenomenon of transient extreme events in the network by focusing on the lifetimes of chaotic states. These events are identified ...
Added: September 19, 2024
Zair-Bek S. I., Mertsalova T., В кн.: Большие данные в образовании: DATA-ANTHROPO для политик и практик развития.: Наука, 2022. Гл. 3 С. 75–100.
В статье рассматриваются современные подходы к управлению сферой образования на основе данных. Описываются возможности и ограничения управленческих действий при работе с данными и, наоборот, специфика и ограничения работы с данными для принятия управленческих решений. Для раскрытия поставленных задач используется метод анализа кейсов управленческих ситуаций и кейсы корректного и недостаточно корректного использования данных для планирования и ...
Added: September 12, 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
Slastnikov S., Zhukova L., Semichasnov I., Информационные технологии и вычислительные системы 2024 № 1 С. 97–108
In this article, we present a web service designed for searching, extracting, and analyzing data from social networks and messengers, demonstrating its application for studying communities within the "VKontakte" social network. The web service enables the identification of typical user profiles within communities, the assessment of emotional sentiment in posts and comments, as well as ...
Added: August 12, 2024