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Mathematical models have proven invaluable in unraveling the intricacies of this heterogeneity and its implications for cancer progression Mathematical modeling is a significant tool that can be employed to comprehend the dynamics of breast cancer progression and dissemination and to formulate novel therapeutic approaches By incorporating evolutionary principles, mathematical models can simulate the process of clonal expansion, diversification, and selection within tumors.

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The construction of a mathematical model of a complicated system is often associated with the evaluation of inputs’ (arguments, factors) influence on the output (response), the identification of important relationships between the variables used, and reduction of the model by decreasing the number of its inputs Currently, there are a variety of mathematical models for tumor growth and treatment. These tasks are related to the problems of sensitivity analysis of mathematical.

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In this paper, a mathematical simulation model of an electric vehicle traction battery has been developed, in which the battery was studied during the dynamic modes of its charge and discharge for heavy electric vehicles in various driving conditions—the conditions of the urban cycle and movement outside the city

In robotics, much emphasis is placed on mathematical modeling, as the creation, control, and optimization of robots for a wide field of work must be achieved precisely and adaptively The aim of this paper is to present a systematic and structured approach to the literature review of mathematical models in robotics, critically considering mathematical frameworks that influence and shape. In physics, we construct idealized mathematical models in order to explain various phenomena which we observe or create in our laboratories In this article, i recall how sophisticated mathematical models evolved from the concept of a number created thousands of years ago, and i discuss some challenges and open questions in quantum foundations and in the standard model

The model enables simulating the transformer operation with allowance for its nonlinearity and covers needs of the relay protection A mathematical model was created to study the power reserve of an electric vehicle, taking into account four driving cycles, in which the lengths of cycles and the forces acting on the electric vehicle are determined The calculation of the forces of resistance to movement was carried out taking into account the efficiency of the electric motor.