scholarly journals Mathematical modeling of the magnetic field of red blood cells in narrow capillaries

2019 ◽  
Vol 315 ◽  
pp. 042019
Author(s):  
A V Kopyltsov
Keyword(s):  
Mathematical Modeling ◽  
Magnetic Field ◽  
Red Blood Cells ◽  
Blood Cells ◽  
The Magnetic Field

MATHEMATICAL MODELING OF TEMPERATURE EFFECT ON THE FAN CHART OF MAGNETOABSORPTION SPECTRUM IN SEMICONDUCTORS

2019 ◽  
pp. 104-115
Author(s):  
G. Gulyamov ◽  
U. I. Erkaboev ◽  
A. G. Gulyamov
Keyword(s):  
Mathematical Modeling ◽  
Magnetic Field ◽  
Temperature Dependence ◽  
Density Of States ◽  
Landau Levels ◽  
Joint Density ◽  
Narrow Gap ◽  
Narrow Gap Semiconductors ◽  
Dispersion Law ◽  
The Magnetic Field

The article considers the oscillations of interband magneto-optical absorption in semiconductors with the Kane dispersion law. We have compared the changes in oscillations of the joint density of states with respect to the photon energy for different Landau levels in parabolic and non-parabolic zones. An analytical expression is obtained for the oscillation of the combined density of states in narrow-gap semiconductors. We have calculated the dependence of the maximum photon energy on the magnetic field at different temperatures. A theoretical study of the band structure showed that the magnetoabsorption oscillations decrease with an increase in temperature, and the photon energies nonlinearly depend on a strong magnetic field. The article proposes a simple method for calculating the oscillation of joint density of states in a quantizing magnetic field with the non-quadratic dispersion law. The temperature dependence of the oscillations joint density of states in semiconductors with non-parabolic dispersion law is obtained. Moreover, the article studies the temperature dependence of the band gap in a strong magnetic field with the non-quadratic dispersion law. The method is applied to the research of the magnetic absorption in narrow-gap semiconductors with nonparabolic dispersion law. It is shown that as the temperature increases, Landau levels are washed away due to thermal broadening and density of states turns into a density of states without a magnetic field. Using the mathematical model, the temperature dependence of the density distribution of energy states in strong magnetic fields is considered. It is shown that the continuous spectrum of the density of states, measured at the temperature of liquid nitrogen, at low temperatures turns into discrete Landau levels. Mathematical modeling of processes using experimental values of the continuous spectrum of the density of states makes it possible to calculate discrete Landau levels. We have created the three-dimensional fan chart of magneto optical oscillations of semiconductors with considering for the joint density of energy states. For a nonquadratic dispersion law, the maximum frequency of the absorbed light and the width of the forbidden band are shown to depend nonlinearly on the magnetic field. Modeling the temperature  dependence allowed us to determine the Landau levels in semiconductors in a wide temperature spectrum. Using the proposed model, the experimental results obtained for narrow-gap semiconductors are analyzed. The theoretical results are compared with experimental results.

Mathematical modeling of the nonlinear electrodynamics effect of signal delay in the magnetic field of pulsars

2015 ◽  
Vol 55 (11) ◽  
pp. 1857-1866 ◽  
Author(s):  
M. G. Gapochka ◽  
M. M. Denisov ◽  
I. P. Denisova ◽  
N. V. Kalenova ◽  
A. F. Korolev
Keyword(s):  
Mathematical Modeling ◽  
Magnetic Field ◽  
Nonlinear Electrodynamics ◽  
Signal Delay ◽  
The Magnetic Field

Disaggregation of stacked red blood cells under strong pulse magnetic field

2015 ◽  
Vol 117 (17) ◽  
pp. 17D156 ◽  
Author(s):  
Do-Guwn Hwang ◽  
Hyeji Park ◽  
Woori Kim ◽  
Jinyoung Lee ◽  
Hyun Sook Lee
Keyword(s):  
Magnetic Field ◽  
Red Blood Cells ◽  
Blood Cells ◽  
Pulse Magnetic Field

scholarly journals Effect of Size on Magnetic Polyelectrolyte Microcapsules Behavior: Biodistribution, Circulation Time, Interactions with Blood Cells and Immune System

Pharmaceutics ◽  
2021 ◽  
Vol 13 (12) ◽  
pp. 2147
Author(s):  
Roman Verkhovskii ◽  
Alexey Ermakov ◽  
Olga Sindeeva ◽  
Ekaterina Prikhozhdenko ◽  
Anastasiia Kozlova ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Blood Flow ◽  
Blood Cells ◽  
Circulatory System ◽  
Drug Carriers ◽  
Fine Tuning ◽  
Circulation Time ◽  
Polyelectrolyte Microcapsules ◽  
The Magnetic Field

Drug carriers based on polyelectrolyte microcapsules remotely controlled with an external magnetic field are a promising drug delivery system. However, the influence of capsule parameters on microcapsules’ behavior in vivo is still ambiguous and requires additional study. Here, we discuss how the processes occurring in the blood flow influence the circulation time of magnetic polyelectrolyte microcapsules in mouse blood after injection into the blood circulatory system and their interaction with different blood components, such as WBCs and RBCs. The investigation of microcapsules ranging in diameter 1–5.5 μm allowed us to reveal the dynamics of their filtration by vital organs, cytotoxicity, and hemotoxicity, which is dependent on their size, alongside the efficiency of their interaction with the magnetic field. Our results show that small capsules have a long circulation time and do not affect blood cells. In contrast, the injection of large 5.5 μm microcapsules leads to fast filtration from the blood flow, induces the inhibition of macrophage cell line proliferation after 48 h, and causes an increase in hemolysis, depending on the carrier concentration. The obtained results reveal the possible directions of fine-tuning microcapsule parameters, maximizing capsule payload without the side effects for the blood flow or the blood cells.

scholarly journals Accounting of the magnetic field of the power supply system of a power-capacitive technical object

2020 ◽  
Vol 8 (6) ◽  
pp. 130-142
Author(s):  
A. T. Tarlanov ◽  
Z. M. Kurbanismailov
Keyword(s):  
Mathematical Modeling ◽  
Magnetic Field ◽  
Power Supply ◽  
Electromagnetic Compatibility ◽  
Field Vector ◽  
Observation Point ◽  
Magnetic Field Vector ◽  
Specific Power ◽  
Technical Object ◽  
The Magnetic Field

The paper shows the approach and the result of taking into account the mutual influence of on-board subsystems of a complex technical object along the DC power supply circuits. Technical objects are understood as a mobile, energy-intensive vehicle, such as an aircraft, a surface or submarine vessel, or a railway locomotive with strong magnetic fields. The aim of the work is to create a simple and intuitive tool for mathematical modeling of the magnetic field vector at an arbitrarily specified observation point. The task is being solved in order to improve the accuracy of magnetic measurements on board, in particular, in navigation problems. On-board DC networks are considered, to which the approach of mathematical modeling is applied. The disadvantages of commercial programs of a similar purpose are noted. The binding of the objects under consideration to the general coordinate system is described. An analytical algorithm for calculating the magnetic field vector from the on-board cable network with a pronounced 3D trajectory is shown. Examples of visualization of the simulation results are given. An algorithm for calculating the induction vector based on the Biot-Savard law is considered. The algorithm for the analytical solution of the problem is described in detail. A specific power cable of the on-board network is considered. The cable is given by a set of straight conductors with current. The ways of future improvement of the created product with the transition from one observation point to the field map in a given three-dimensional zone of arbitrary position, volume and orientation are outlined. The obtained result is considered as an element of the procedure for achieving electromagnetic compatibility of energy-intensive and highly sensitive subsystems of a modern complex technical object.

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