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Blood Flows in Vascular Networks: Numerical Results vs Experimental Data

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Trends in Biomathematics: Modeling, Optimization and Computational Problems

Abstract

The goal of this work is to compare the numerical results calculated by the 1D blood flow model with experimental data. In the first case the fluid flow in the network of silicone tubes is simulated. Numerical results are in good agreement with measured experimental data. We showed that neglecting tapered vessel form helps to save computational time without significant loss of results quality. In the second case the fluid flow in the bifurcation of carotid arteries is simulated. The model was not able to reproduce the experimental data because of fluid flow complexity. Boundary conditions at bifurcation node should be refined for this case.

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References

  1. N. Bessonov, A. Sequeira, S. Simakov et al., Methods of blood flow modelling. Math. Model. Nat. Phenom. 11(1), 1–25 (2016)

    Article  MathSciNet  Google Scholar 

  2. A. Danilov, Yu. Ivanov, R. Pryamonosov et al., Methods of graph network reconstruction in personalized medicine. Int. J. Numer. Meth. Biomed. Eng. 32(8), e02754 (2016)

    Google Scholar 

  3. T. Dobroserdova, S. Simakov, T. Gamilov et al., Patient-specific blood flow modelling for medical applications. MATEC Web Conf. 76(21), 05001 (2016)

    Google Scholar 

  4. E. Boileau, P. Nithiarasu, P.J. Blanco, A benchmark study of numerical schemes for one-dimensional arterial blood flow modelling. Int. J. Numer. Meth. Biomed. Eng. 31(10), e02732 (2015)

    Google Scholar 

  5. S. Simakov, A. Kholodov, Computational study of oxygen concentration in human blood under low frequency disturbances. Math. Models Comput. Simul. 1(2), 283295 (2009)

    Google Scholar 

  6. Yu.V. Vassilevski, V.Yu. Salamatova, S.S. Simakov, On the elasticity of blood vessels in one dimensional problems of hemodynamics. Comput. Math. Math. Phys. 55(9), 1567–1578 (2015)

    Article  MathSciNet  Google Scholar 

  7. Yu. Vassilevskii, S. Simakov, V. Salamatova et al., Numerical issues of modelling blood flow in networks of vessels with pathologies. Russ. J. Numer. Anal. Math. Model. 26(6), 605–622 (2011)

    MathSciNet  MATH  Google Scholar 

  8. Y.V. Vassilevski, A.A. Danilov, S.S. Simakov, Patient-specific anatomical models in human physiology. Russ. J. Numer. Anal. Math. Model. 30(3), 185–201 (2015)

    Article  MathSciNet  Google Scholar 

  9. J. Alastruey, A. Khir, K. Matthys et al., Pulse wave propagation in a model human arterial network: assessment of 1-D visco-elastic simulations against in vitro measurements. J. Biomech. 44(12), 2250–2258 (2011)

    Article  Google Scholar 

  10. N.S. Denisenko, A.P. Chupakhin, A.K. Khe, A.A. Cherevko et al., Experimental measurements and visualisation of a viscous fluid flow in Y-branching modelling the common carotid artery bifurcation with MR and Doppler ultrasound velocimetry. J. Phys. Conf. Ser. 722 (2016)

    Google Scholar 

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Acknowledgements

This work is supported by the Russian Science Foundation grant 14-31-00024. The authors are grateful to A.Chupakhin, N.Denisenko, A.Yanchenko for measured data used in Sect. 4 (the data obtained with support of RFBR 17-08-01736 grant).

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Dobroserdova, T.K., Cherevko, A.A., Sakharova, E.A. (2018). Blood Flows in Vascular Networks: Numerical Results vs Experimental Data. In: Mondaini, R. (eds) Trends in Biomathematics: Modeling, Optimization and Computational Problems. Springer, Cham. https://doi.org/10.1007/978-3-319-91092-5_23

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