A Model for the Generalised Dispersion of Synovial Fluids on Nutritional Transport with Joint Impacts of Electric and Magnetic Field

IF 1.9 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
B. R. Kumar, R. Vijayakumar, A. J. Rani
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引用次数: 1

Abstract

This work analyses the effect of electromagnetic fields on cartilaginous cells in human joints and the nutrients that flow from the synovial fluid to the cartilage. The perturbation approach and the generalised dispersion model is used to solve the governing equation of momentum and mass transfer. The dispersion coefficient increases with dimensionless time. It aids in grasping the level of nutritional transport to the synovial joint. Low-molecular-weight solutes have a lower concentration distribution at the same depth in articular cartilage than high-molecular-weight solutes. Thus, diffusion dominates nutrition transport for low-molecular-weight solutes, whereas a mechanical pumping action dominates nutrition transport for high-molecular-weight solutes. The report says that the cells in the centre of the cartilage surface receive more nutrients during imbibition and exudation than the cells on the periphery, and the earliest indications of cartilage degradation emerge in the uninflected regions. As a result, cartilage nutrition is considered necessary to joint mobility. It also predicts that, as the viscoelastic parameter increases, the concentration in the articular cartilage diminishes, resulting in the cartilage cells receiving less nutrition, which might lead to harmful effects. The dispersion coefficient and mean concentration for distinct factors, such as the Hartmann number, porous parameter, and viscoelastic parameters of gel formation, have been computed and illustrated through graphics.
电场和磁场联合作用下滑液营养转运的广义弥散模型
这项工作分析了电磁场对人类关节软骨细胞的影响,以及从滑液流到软骨的营养物质。采用摄动方法和广义色散模型求解动量和质量传递的控制方程。分散系数随无量纲时间的增加而增加。它有助于掌握滑膜关节的营养运输水平。在关节软骨中相同深度处,低分子量溶质的浓度分布低于高分子量溶质。因此,对于低分子量溶质,扩散主导营养运输,而对于高分子量溶质,机械泵送作用主导营养运输。报告称,软骨表面中心的细胞在吸收和渗出过程中比周围的细胞获得更多的营养,软骨退化的最早迹象出现在未吸收的区域。因此,软骨营养被认为是关节活动所必需的。它还预测,随着粘弹性参数的增加,关节软骨中的浓度减少,导致软骨细胞获得的营养减少,这可能会导致有害影响。计算了不同因素的分散系数和平均浓度,如Hartmann数、多孔参数和凝胶形成的粘弹性参数,并通过图形进行了说明。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Mathematical & Computational Applications
Mathematical & Computational Applications MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-
自引率
10.50%
发文量
86
审稿时长
12 weeks
期刊介绍: Mathematical and Computational Applications (MCA) is devoted to original research in the field of engineering, natural sciences or social sciences where mathematical and/or computational techniques are necessary for solving specific problems. The aim of the journal is to provide a medium by which a wide range of experience can be exchanged among researchers from diverse fields such as engineering (electrical, mechanical, civil, industrial, aeronautical, nuclear etc.), natural sciences (physics, mathematics, chemistry, biology etc.) or social sciences (administrative sciences, economics, political sciences etc.). The papers may be theoretical where mathematics is used in a nontrivial way or computational or combination of both. Each paper submitted will be reviewed and only papers of highest quality that contain original ideas and research will be published. Papers containing only experimental techniques and abstract mathematics without any sign of application are discouraged.
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