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Multi-scale modeling of hemodynamics in the cardiovascular system

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Abstract

The human cardiovascular system is a closed-loop and complex vascular network with multi-scaled heterogeneous hemodynamic phenomena. Here, we give a selective review of recent progress in macro-hemodynamic modeling, with a focus on geometrical multi-scale modeling of the vascular network, micro-hemodynamic modeling of microcirculation, as well as blood cellular, subcellular, endothelial biomechanics, and their interaction with arterial vessel mechanics. We describe in detail the methodology of hemodynamic modeling and its potential applications in cardiovascular research and clinical practice. In addition, we present major topics for future study: recent progress of patient-specific hemodynamic modeling in clinical applications, micro-hemodynamic modeling in capillaries and blood cells, and the importance and potential of the multi-scale hemodynamic modeling.

Graphical Abstract

Here we give a selective review of recent progress in macro-hemodynamic modeling, with a focus on geometrical multi-scale modeling of the vascular network, micro-hemodynamic modeling of microcirculation, as well as blood cellular, subcellular, endothelial biomechanics, and their interaction with arterial vessel mechanics. We describe in detail the methodology of hemodynamic modeling and its potential applications in cardiovascular research and clinical practice. In addition, we present major topics for future study: recent progress of patient-specific hemodynamic modeling in clinical applications, micro-hemodynamic modeling in capillaries and blood cells, and the importance and potential of the multi-scale hemodynamic modeling.

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Acknowledgments

Hao Liu was partly supported by Grant-in-Aid for Scientific Research (Grant (B)17300141), JSPS and by Research and Development of the Next Generation Integrated Simulation of Living Matter, JST, a part of the Development and Use of the Next Generation Supercomputer Project of the MEXT, Japan. Fuyou Liang was supported by the National Natural Science Foundation of China (Grant 81370438) and the SJTU Medical Engineering Cross-cutting Research Foundation (Grant YG2012MS24). Ken-iti Tsubota was partly funded by a Grant-in-Aid for Challenging Exploratory Research (Grant 25630046), JSPS. He also thanks RIKEN for supporting the computing facilities essential for the completion of this study. Financial support provided by HKUST to JW is acknowledged.

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  1. Graduate School of Engineering, Chiba University, 1-33, Yayoi-cho, Inage-ku, Chiba, Japan

    Hao Liu, Takashi Fujiwara, Ken-iti Tsubota & Michiko Sugawara

  2. Shanghai Jiao Tong University and Chiba University International Cooperative Research Center (SJTU-CU ICRC), 800 Dongchuan Road, Minhang District, Shanghai, China

    Hao Liu & Fuyou Liang

  3. The Hong Kong University of Science and Technology (HKUST), Kowloon, Hong Kong, China

    Jasmin Wong & Wenjing Ye

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  1. Hao Liu
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Liu, H., Liang, F., Wong, J. et al. Multi-scale modeling of hemodynamics in the cardiovascular system. Acta Mech. Sin. 31, 446–464 (2015). https://doi.org/10.1007/s10409-015-0416-7

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