Mathematical models have proven invaluable in unraveling the intricacies of this heterogeneity and its implications for cancer progression. By incorporating evolutionary principles, mathematical models can simulate the process of clonal expansion, diversification, and selection within tumors.
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. The state of a lithium-ion battery is modeled based on operational factors ...
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.
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 ...
Medical problems can be described by establishing mathematical formulas and systems of equations in order to analyze and predict medical problems, thus abstracting and formalizing real problems [4, 5, 6]. Therefore, the study of medical problems based on mathematical models has great potential and development prospects.
An important and efficient mathematical model for the dynamic electric vehicle simulation (DEVS) is designed in the current work. A schematic diagram is designed that consists of a combustion engine, car battery, inverter, electric motor, inverter, and electric generator.
In this paper, we construct and propose a new mathematical model to study the dynamics of economic growth, corruption, unemployment, and inflation. The proposed model includes several relationships between these social and economic factors that have been studied and presented by economists. The mathematical model has several equilibrium points that are related to different socioeconomic ...
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 ...
When catastrophe theory is applied to the experimental modeling of catastrophe phenomena, it is impossible to know in advance the corresponding relationship and mapping form between the parameters of the actual catastrophe mathematical model and the parameters of the canonical catastrophe mathematical model. This gives rise to the problem in which the process of experimental modeling cannot be ...
This study presents an extended approach to compartmental modeling of infectious disease spread, focusing on regional heterogeneity within affected areas.
