A Two-phase mixture model of platelet aggregation.

IF 0.8 4区 数学 Q4 BIOLOGY
Jian Du, Aaron L Fogelson
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引用次数: 14

Abstract

We present a two-phase model of platelet aggregation in coronary-artery-sized blood vessels. The model tracks the number densities of three platelet populations as well as the concentration of a platelet activating chemical. Through the formation of elastic bonds, activated platelets can cohere with one another to form a platelet thrombus. Bound platelets in a thrombus move in a velocity field different from that of the bulk fluid. Stresses produced by the elastic bonds act on the bound platelet material. Movement of the bound platelet material and that of the background fluid are coupled through an interphase drag and an incompressibility constraint. The relative motion between bound platelets and the background fluid permits intraclot transport of individual platelets and activating chemical, allows the bound platelet density to reach levels much higher than the platelet density in the bulk blood, and allows thrombus formation to occur on a physiological timescale, all of which were precluded by our earlier single phase model. Computational results from the two-phase model indicate that through complicated fluid-structure interactions, the platelet thrombus can develop significant spatial inhomogeneities and that the amount of intraclot flow may greatly affect the growth, density, and stability of a thrombus.

血小板聚集的两相混合模型。
我们提出了一个两阶段的模型血小板聚集在冠状动脉大小的血管。该模型跟踪三种血小板种群的数量密度以及血小板激活化学物质的浓度。通过弹性键的形成,活化的血小板可以相互粘附形成血小板血栓。血栓中结合的血小板运动的速度场不同于大块液体的速度场。弹性键产生的应力作用于被束缚的血小板材料。结合的血小板材料的运动和背景流体的运动通过相间阻力和不可压缩性约束耦合。结合血小板和背景液之间的相对运动允许单个血小板和激活化学物质在腔内运输,允许结合血小板密度达到远高于散装血液中血小板密度的水平,并允许血栓形成在生理时间尺度上发生,所有这些都被我们早期的单相模型所排除。两相模型的计算结果表明,通过复杂的流体-结构相互作用,血小板血栓会产生明显的空间不均匀性,而血栓内流量的大小可能会极大地影响血栓的生长、密度和稳定性。
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
CiteScore
2.20
自引率
0.00%
发文量
15
审稿时长
>12 weeks
期刊介绍: Formerly the IMA Journal of Mathematics Applied in Medicine and Biology. Mathematical Medicine and Biology publishes original articles with a significant mathematical content addressing topics in medicine and biology. Papers exploiting modern developments in applied mathematics are particularly welcome. The biomedical relevance of mathematical models should be demonstrated clearly and validation by comparison against experiment is strongly encouraged. The journal welcomes contributions relevant to any area of the life sciences including: -biomechanics- biophysics- cell biology- developmental biology- ecology and the environment- epidemiology- immunology- infectious diseases- neuroscience- pharmacology- physiology- population biology
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