Identification of mechanical properties of artificial aortic valve by Kalman Filter

  • Ryfa, Arkadiusz (Silesian University of Technology)
  • Rojczyk, Marek (Silesian University of Technology)
  • Bigaj, Karolina (Silesian University of Technology)
  • Krysiński, Tomasz (Silesian University of Technology)
  • Buliński, Zbigniew (Silesian University of Technology)
  • Caban, Szymon (Silesian University of Technology)
  • Golda, Adam (Municipal Hospital No 4)
  • Smolka, Grzegorz (Medical University of Silesia)
  • Janas, Adam (American Heart of Poland)
  • Adamczyk, Wojciech (Silesian University of Technology)

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The paper describes an inverse algorithm that allows for retrieving mechanical properties i.e. equivalent Young’s modulus for an bioprosthetic aortic valve under in vitro conditions. Aortic valve consists of three leaflets that move periodically so that valve opens or close. This is repeated at hearts rate i.e. around 80 bpm. This means that within 0.8 seconds the whole cycle is completed. Knowing mechanical properties is crucial in medical diagnostic and for patients treatments since the mechanical properties of valve influence the leaflet distortion. Thus, the valve stiffness can be treated as an indicator that describe rate of valve leaflets calcification. For presented study the information on the valve movement is gathered with the use of high speed camera. Several points on the valve are tracked with a certain time step. The information on location of those points is an input data to the inverse algorithm. Since the analysed process is non-stationary there is a lot of input data available. For this reason the Kalman Filter [1] is used. Kalman Filter allows for sequential analysis of the movement and thus makes model less computationally expensive. The paper presents initially performed numerical experiment with simulated data, influence of imposed measurement errors on the results quality and retrieval of equivalent Young’s modulus for measured data.