Mathematical Model

mathematical model represents a topic that has garnered significant attention and interest. Mathematical Modeling of Cancer Progression - MDPI. 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. Similarly, a Review of Mathematical Models in Robotics - MDPI. Another key aspect involves, 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 ... Sensitivity Analysis of Mathematical Models - MDPI. 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.

These tasks are related to the problems of Sensitivity Analysis of mathematical ... Mathematical Modeling of Physical Reality: From Numbers to ... 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. We liberated nuclear ... Mathematical Model of a Nonlinear Power Transformer for Needs of Relay ....

In this work, a mathematical model of a three-phase nonlinear transformer is suggested. The model enables simulating the transformer operation with allowance for its nonlinearity and covers needs of the relay protection. Our model has been developed on the basis of a mathematical model with phase coordinates, where differential equations are composed by the Kirchhoff’s phase-voltage law ...

Simple Mathematical and Simulink Model of Stepper Motor. From another angle, this paper presents a simple mathematical and Simulink model of a two-phase hybrid stepper motor, where ignoring the permeance space harmonics of the hybrid stepper motor is regarded as the main physical assumption in this article. Moreover, the dq transformation method is adopted as the main mathematical approach for the derivation of the proposed model, where simple voltages, currents, and ... High Accuracy Modeling of Permanent Magnet Synchronous Motors Using ....

Permanent magnet synchronous machines (PMSMs) have garnered increasing interest because of their advantages such as high efficiency, high power density, wide speed range, and fast dynamics. They have been employed recently in several industrial applications including robotics and electric vehicles (EVs). However, PMSMs have highly nonlinear magnetic characteristics, especially interior PMSMs ... Fractional Order Mathematical Model for Predicting and ...

The fractional order in the mathematical model is used to describe memory effects, hereditary properties, and anomalous dynamics in systems in physics, epidemiology, and engineering. A Mathematical Model for Dynamic Electric Vehicles: Analysis and ... 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. Mathematical Modeling of the State of the Battery of Cargo ...