The purpose of the work was to develop a model of maintaining balance in accordance with the parameters of the human body, which ensures the function of maintaining the body's balance in space. The key indicator of stable balance is the center of mass (CM) of the human body. The stability of the posture is ensured by the projection of the center of mass (CM) within the support area. The article describes two models that assess the displacement of the CM projection relative to the support area. The principle of operation of the models is based on pendulum motion in the sagittal plane (forward-backward movements) and the frontal plane (lateral movements). The model includes a comprehensive visualization of the CM projection on the support area in real time, as well as a quantitative assessment of stability by counting the percentage of time spent in the support area. The model provides a more comprehensive understanding of the mechanisms involved in maintaining equilibrium.
Keywords: balance maintenance mechanisms, modeling, biomechanics, and the center of mass
The work is devoted to the study of the effect of electrical pulses on the processes of cisplatin transport through the plasma membrane. Technical devices based on the application of this technology are used to increase cellular uptake of cytotoxic agents within certain cancer treatment strategies. This article presents the results of mathematical modeling performed using computer methods that allow us to study the influence of different pulse parameters (amplitude, duration, frequency) on the efficiency of cisplatin transport. Numerical experiments using various difference schemes and mathematical models that take into account the physical properties of the plasma membrane have been performed. The results obtained allow us to better understand the mechanisms of the impact of electrical impulses on the processes of cisplatin transport, which may be of practical importance for the development of new methods of drug delivery and cancer treatment.
Keywords: mathematical modeling, software package, electroporation, cisplastin transport, plasma membrane, computational experiment