Optimization of polymer valve leaflets for heart valve prosthesis in silico

Abstract

Introduction:
The leaflet geometry is crucial for both the efficiency and longevity of a valve prosthesis. Synthetic leaflets made from polymeric materials present opportunities for advanced optimization but require more resources during design and development. In this context, the concept of utilizing modern numerical analysis methods combined with mathematical optimization appears to be a promising and viable solution.
Materials and Methods:
The 3D model generation was automatically based on five parameters. The stress-strain state of the leaflet models was calculated using the finite element method. The optimization criteria included the values of maximum principal stress, geometric area of the orifice in the open state, orifice area of the prosthesis in the closed state, and an indicator of leaflet geometry asymmetry during prosthesis closure. Optimization was performed using the NSGA2 genetic algorithm.
Results:
The optimization time varied significantly depending on the optimizer parameters and ranged from 18 to 27 hours. The analysis of the optimizer's convergence demonstrated a minimization of target functions by 80% within the first 30 iterations. As a result of the study, an optimal prosthesis model was obtained, ensuring a geometric orifice area in the open state of 415 mm², a maximum principal stress value of 0.68 MPa, a leaflet geometry asymmetry indicator of 0, and an orifice area of the prosthesis in the closed state of 0 with the specified material model.

Speaker

Evgeny Ovcharenko
Federal State Budgetary Institution "Research Institute of Complex Issues of Cardiovascular Diseases"
Russia

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