[go: up one dir, main page]
More Web Proxy on the site http://driver.im/ Skip to main content
Springer Nature Link
Log in

Hemodynamic Solution Computation and Pathological Analysis in the Circle of Willis

  • Systems-Level Quality Improvement
  • Published:
Journal of Medical Systems Aims and scope Submit manuscript

Abstract

Hemodynamic indexes will change significantly compared to the normal range of many vascular diseases, therefore it is necessary to establish hemodynamic computation model. Blood circulation is periodically forced huge fluid flow network, the heart is generator of the entire fluid network, based on this hemodynamic characteristics, the circle of Willis’s structure is simplified from the perspective of network and hemodynamics. According to hemodynamic equations and circuit graph theory, models blood flow network of the periodically forced hemodynamic equation, obtains the approximate solution of the harmonic waves form based on averaging computation. We apply this model in the network of the circle of Willis, which may help explain the development processes of cerebral circulation disease. The simulation results show that computing results consistent with the clinical observation of blood flow changes in cerebral infarction.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
£29.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (United Kingdom)

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2

Similar content being viewed by others

References

  1. Hillen, B., Hoogstraten, H. W., and Post, L., A mathematical model of the flow in the circle of Willis. J. Biomech. 19(3):187–194, 1986.

    Article  CAS  PubMed  Google Scholar 

  2. Jou, L. D., Lee, D. H., and Mawad, M. E., Cross-flow at the anterior communicating artery and its implication in cerebral aneurysm formation. J. Biomech. 43(11):2189–2195, 2010.

    Article  PubMed  Google Scholar 

  3. Šutalo, I. D., Bui, A. V., Ahmed, S., Liffman, K., and Manasseh, R., Modeling of flow through the circle of Willis and cerebral vasculature to assess the effects of changes in the peripheral small cerebral vasculature on the inflows. Engineering Applications of Computational Fluid Mechanics 8(4):609–622, 2014.

    Article  Google Scholar 

  4. Ursino, M., and Giannessi, M., A model of cerebrovascular reactivity including the Circle of Willis and cortical anastomoses. Journal Annals of Biomedical Engineering 38(3):955–974, 2010.

    Article  PubMed  Google Scholar 

  5. Blanco, P. J., Watanabe, S. M., Passos, M. A. R. F., Lemos, P. A., and Feijoo, R. A., An anatomically detailed arterial network model for one-dimensional computational hemodynamics. IEEE Trans. Biomed. Eng. 62(2):736–753.

  6. Sui, J. X., Yang, L., and Shi, H. Z., Hemodynamic assessment and computation on vertebral artery stenosis. Technol. Health Care 23(s1):S83–S88, 2015.

    Article  PubMed  Google Scholar 

  7. Gonzalo Domínguez, M., Hernández, C., Ruisoto, P. et al., Morphological and Volumetric Assessment of Cerebral Ventricular System with 3D Slicer Software. J. Med. Syst. 40:154, 2016.

    Article  PubMed  Google Scholar 

  8. Sui, J., Yang, L., and Hu, Y., Complex fluid network optimization and control integrative design based on nonlinear dynamic model. Chaos, Solitons Fractals 89:20–26, 2015.

    Article  Google Scholar 

  9. Koroleva, O. I., and Krstic, M., Averaging analysis of periodically forced fluid networks. Automatica 41(1):129–135, 2005.

    Google Scholar 

  10. Yang, L., Sui, J., Li, S., and Shi, H., Nonlinear hemodynamic difference equation control modelling with constraints and medication of cerebrovascular disease. Journal of Difference Equations and Applications 23(1–2):42–54, 2017.

    Article  Google Scholar 

  11. Sui, J., Yang, L., Li, S., and Shi, H., Blood circulation diseases treatment based on decentralized adaptive control. J. Intell. Fuzzy Syst. 33(5):2851–2860, 2017.

    Article  Google Scholar 

  12. Zhang, X., and Wang, W., The pulse harmonic spectral analysis - Chinese medicine pulse-taking research new method. Chinese Journal of Integrated Traditional and Western Medicine 15(12):743–745, 1995.

    CAS  PubMed  Google Scholar 

Download references

Acknowledgements

The work is supported by Natural Science Foundation of Shandong Province (ZR2016FM25).

Author information

Authors and Affiliations

  1. School of Information and Electronic Engineering, Shandong Technology and Business University, Yantai, China

    Jinxue Sui & Li Yang

  2. Key Laboratory of Sensing Technology and Control in Universities of Shandong, Yantai, China

    Jinxue Sui & Li Yang

  3. Shandong Co-Innovation Center of Future Intelligent Computing, Yantai, China

    Jinxue Sui & Li Yang

  4. School of Mathematics and Information Sciences, Yantai University, Yantai, China

    Xinguang Zhang

  5. Yantaishan Hospital, Yantai, China

    Hongzhi Shi

  6. University of Western Australia, Perth, WA, Australia

    Ya Hu

Authors
  1. Jinxue Sui
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Li Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Xinguang Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Hongzhi Shi
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Ya Hu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to Jinxue Sui or Li Yang.

Ethics declarations

Conflict of interest

Jinxue Sui has received research grants from Natural Science Foundation of Shandong Province (Grant: ZR2016FM25). Jinxue Sui, Li Yang, Xinguang Zhang, Hongzhi Shi and Ya Hu declare that they have no conflict of interest.

Human and animal rights

This article does not contain any studies with human participants or animals performed by any of the authors.

Additional information

This article is part of the Topical Collection on Systems-Level Quality Improvement

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sui, J., Yang, L., Zhang, X. et al. Hemodynamic Solution Computation and Pathological Analysis in the Circle of Willis. J Med Syst 42, 178 (2018). https://doi.org/10.1007/s10916-018-1032-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s10916-018-1032-4

Keywords

Search

Navigation