红细胞建模的一种新的双组分方法

IF 0.3 Q4 MATHEMATICS
L. Meacci, G. Buscaglia, F. Mut, R. Ausas, M. Primicerio
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引用次数: 0

摘要

这项工作包括提出一种计算建模方法来研究红细胞在缓慢瞬态过程中的正常和病理行为,这种过程不能伴随着纯粒子方法(需要非常小的时间步长)。基本模型,受到目前最好的模型的启发,认为细胞骨架是一个离散的非线性弹性结构。提出的工作的新颖之处在于将这种骨架与连续模型相结合,而不是更常见的脂质双分子层的离散模型(分子动力学,颗粒方法)。固体细胞骨架与双分子层的相互作用是一种二维流体,将通过采用先进的固体-固体粘附算法的粘附力来完成。当分子的尺寸(0.3 nm)比总尺寸(8000 nm)小得多的时候,对流体部分的连续处理可以很好地证明是合理的,并且可以导致更加稳定和精确的数值问题。在本文中,我们展示了一些数值模拟,展示了我们的方法如何描述RBC与外源体的相互作用,以及在没有外力的情况下RBC形状向其平衡配置的松弛。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A new two-component approach in modeling red blood cells
Abstract This work consists in the presentation of a computational modelling approach to study normal and pathological behavior of red blood cells in slow transient processes that can not be accompanied by pure particle methods (which require very small time steps). The basic model, inspired by the best models currently available, considers the cytoskeleton as a discrete non-linear elastic structure. The novelty of the proposed work is to couple this skeleton with continuum models instead of the more common discrete models (molecular dynamics, particle methods) of the lipid bilayer. The interaction of the solid cytoskeleton with the bilayer, which is a two-dimensional fluid, will be done through adhesion forces adapting e cient solid-solid adhesion algorithms. The continuous treatment of the fluid parts is well justified by scale arguments and leads to much more stable and precise numerical problems when, as is the case, the size of the molecules (0.3 nm) is much smaller than the overall size (≃ 8000 nm). In this paper we display some numerical simulations that show how our approach can describe the interaction of an RBC with an exogenous body as well as the relaxation of the shape of an RBC toward its equilibrium configuration in absence of external forces.
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来源期刊
CiteScore
1.30
自引率
0.00%
发文量
3
审稿时长
16 weeks
期刊介绍: Communications in Applied and Industrial Mathematics (CAIM) is one of the official journals of the Italian Society for Applied and Industrial Mathematics (SIMAI). Providing immediate open access to original, unpublished high quality contributions, CAIM is devoted to timely report on ongoing original research work, new interdisciplinary subjects, and new developments. The journal focuses on the applications of mathematics to the solution of problems in industry, technology, environment, cultural heritage, and natural sciences, with a special emphasis on new and interesting mathematical ideas relevant to these fields of application . Encouraging novel cross-disciplinary approaches to mathematical research, CAIM aims to provide an ideal platform for scientists who cooperate in different fields including pure and applied mathematics, computer science, engineering, physics, chemistry, biology, medicine and to link scientist with professionals active in industry, research centres, academia or in the public sector. Coverage includes research articles describing new analytical or numerical methods, descriptions of modelling approaches, simulations for more accurate predictions or experimental observations of complex phenomena, verification/validation of numerical and experimental methods; invited or submitted reviews and perspectives concerning mathematical techniques in relation to applications, and and fields in which new problems have arisen for which mathematical models and techniques are not yet available.
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