# Computational construction and design optimization of a novel tri-tube heart valve

## TL;DR

This paper presents a computational method to design and optimize a new type of heart valve with three tubes, using simulations to improve its performance.

## Contribution

A novel tri-tube heart valve design is proposed with a computational framework for optimizing leaflet geometry using finite-element simulations and multi-objective optimization.

## Key findings

- An optimal design with tube diameter 16 mm and leaflet height 11 mm was identified using a multi-objective genetic algorithm.
- Steady flow simulations revealed washout effects behind leaflets for a near-optimal design using particle tracking.
- The methodology reduces the design space by combining diastolic geometry optimization with washout analysis.

## Abstract

A finite-element-based algorithm for the in silico construction of a novel tri-tube heart valve was developed to facilitate optimization of the leaflet geometry. An anisotropic hyperelastic model fitted to high-strain rate planar equibiaxial tension and compression data was used to approximate the nonlinear and anisotropic material behavior of biologically-engineered tubes and simulate valve closure under steady back pressure and steady forward flow. Four metrics were considered to evaluate valve performance in simulated closure: coaptation area, regurgitation area, pinwheel index, and prolapse area. Response surfaces revealed competing objectives between metrics for a valve of target 24 mm diameter in terms of two design parameters, tube diameter and leaflet height. A multi-objective genetic algorithm determined an intermediate tube diameter and leaflet height (16 mm and 11 mm, respectively) of the design space as optimal. Additionally, steady flow simulations were performed using two-way fluid–structure interaction with selected designs to examine washout behind leaflets with particle tracking. One design close to the optimal point for valve closure indicated washout for particles initially distributed behind leaflets. Though comprehensive valve design optimization requires flow analysis over multiple valve cycles to capture all effects associated with flow, this methodology based on diastolic state geometry optimization followed by steady washout analysis reduces the space of design variables for further optimization.

The online version contains supplementary material available at 10.1007/s10237-025-01956-5.