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Computational Simulations of Fractional Flow Reserve Variability

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Numerical Mathematics and Advanced Applications ENUMATH 2015

Abstract

Fractional flow reserve (FFR) is the golden standard for making decision on surgical treatment of coronary vessels with multiple stenosis. Clinical measurements of FFR require expensive invasive procedure with endovascular ultrasound probe. In this work a method of FFR simulation is considered. It is based on modelling 1D haemodynamics in patient-specific coronary vessels network reconstructed from CT scans. In contrast to our previous studies we used explicit minimum oscillating 2nd order characteristic method for internal nodes and 2nd order approximation of compatibility conditions for discretization of boundary conditions in junctions. The model is applied for simulating the change of FFR due to variability of the vessels elasticity and autoregulation response rate.

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References

  1. E. Boileau, P. Nithiarasu, One-dimensional modelling of the coronary circulation. application to noninvasive quantification of fractional flow reserve (FFR). Comput. Exp. Biomed. Sci.: Methods Appl. 21, 137–155 (2015)

    Google Scholar 

  2. T.M. Gamilov, P.Y. Kopylov, R.A. Pryamonosov, S.S. Simakov, Virtual fractional flow reserve assessment in patient-specific coronary networks by 1D hemodynamic model. RJNAMM 30 (5), 269–276 (2015)

    MathSciNet  MATH  Google Scholar 

  3. W.F. Ganong, Review of Medical Physiology (Appleton and Lange, Stamford, 1999)

    Google Scholar 

  4. K.M. Magometov, A.S. Kholodov, Grid Characteristic Numerical Methods (Nauka, Moscow, 1988), pp. 103–104. In Russian

    Google Scholar 

  5. P.D. Morris, D. Ryan, A.C. Morton et al., Virtual fractional flow reserve from coronary angiography: modeling the significance of coronary lesions. Results from the VIRTU-1 (VIRTUal fractional flow reserve from coronary angiography) study. JACC: Cardiovasc. Interv. 6 (2), 149–157 (2013)

    Google Scholar 

  6. R. Sala, C. Rossel, P. Encinas, P. Lahiguera, Continuum of pulse wave velocity from young elite athletes to uncontrolled older patients with resistant hypertension. J. Hypertens. 28, 19.216 (2010)

    Article  Google Scholar 

  7. S.S. Simakov, T.M. Gamilov, Y.N. Soe, Computational study of blood flow in lower extremities under intense physical load. RJNAMM 28 (5), 485–504 (2013)

    MathSciNet  MATH  Google Scholar 

  8. Yu.V. Vassilevski, A.A. Danilov, T.M. Gamilov et al., Patient-specific anatomical models in human physiology. RJNAMM 30 (3), 185–201 (2015)

    MathSciNet  Google Scholar 

  9. M.A. Vis, P.H. Bovendeerd, P. Sipkema, N. Westerhof, Effect of ventricular contraction, pressure, and wall stretch on vessels at different locations in the wall. Am. J. Physiol. Heart Circ. Physiol. 272, H2963–H2975 (1997)

    Google Scholar 

  10. C.K. Zarins, C.A. Taylor, J.K. Min, Computed fractional flow Reserve (FFTCT) derived from coronary CT angiography. J. Cardiovasc. Trans. Res. 6 (5), 708–714 (2013)

    Article  Google Scholar 

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Acknowledgements

The research was supported by Russian Science Foundation (RSF) grant 14-31-00024.

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Correspondence to Timur Gamilov .

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© 2016 Springer International Publishing Switzerland

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Gamilov, T., Kopylov, P., Simakov, S. (2016). Computational Simulations of Fractional Flow Reserve Variability. In: Karasözen, B., Manguoğlu, M., Tezer-Sezgin, M., Göktepe, S., Uğur, Ö. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2015. Lecture Notes in Computational Science and Engineering, vol 112. Springer, Cham. https://doi.org/10.1007/978-3-319-39929-4_48

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