Volumetric flow rate reconstruction in great vessels

Attila Lovas, Róbert Nagy, Péter Sótonyi, Brigitta Szilágyi

Research output: Contribution to journalArticle


We present a new algorithm to reconstruct the volumetric flux in the aorta. We study a simple 1D blood flow model without viscosity term and sophisticated material model. Using the continuity law, we could reduce the original inverse problem related to a system of PDEs to a parameter identification problem involving a Riccati-type ODE with periodic coefficients. We implemented a block-based optimization algorithm to recover the model parameters. We tested our method on real data obtained using CG-gated CT angiography imaging of the aorta. Local flow rate was calculated in 10 cm long aorta segments which are located 1 cm below the heart. The reconstructed volumetric flux shows a realistic wave-like behavior, where reflections from arteria iliaca can also be observed. Our approach is suitable for estimating the main characteristics of pulsatile flow in the aorta and thereby contributing to a more accurate description of several cardiovascular lesions.

Original languageEnglish
Pages (from-to)117-130
Number of pages14
JournalAnnales Mathematicae et Informaticae
Publication statusPublished - Jan 1 2019


  • Haemodynamics
  • One-dimensional modeling
  • Periodic Ricatti equation
  • Pulse wave propagation

ASJC Scopus subject areas

  • Computer Science(all)
  • Mathematics(all)

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