But, in side-by-side models comparing tissue thicknesses of 100%, 75%, 50% and 25%, you can see there are problems with the two thinner options.
The engineers' findings are reported in a paper just published online by the Proceedings of the National Academy of Sciences. Corresponding authors are Ming-Chen Hsu, an associate professor of mechanical engineering at Iowa State; Thomas J.R. Hughes, the Peter O'Donnell Jr. Chair in Computational and Applied Mathematics and professor of aerospace engineering and engineering mechanics at Texas and its Oden Institute for Computational Engineering and Sciences; and Michael S. Sacks, the W. A. "Tex" Moncrief Jr. Chair in Simulation-Based Engineering and Sciences, professor of biomedical engineering and director of the Willerson Center for Cardiovascular Modeling and Simulation at Texas and the Oden Institute. Emily L. Johnson, a doctoral student in mechanical engineering and the Wind Energy Science, Engineering and Policy program at Iowa State, is the first author. (See sidebar for other co-authors.)
The engineers' comparison of the performance of thinner valve tissues was supported by grants from the National Institutes of Health.
Years and years of challenge
It's not easy to develop a predictive computational model of a heart valve in action, said Iowa State's Hsu, who has been modeling heart valves for more than five years.
There's constant contraction, pressure and flow. The valves are flexible. It's a highly dynamic system, with a lot of variables.
"We're really modeling the whole physiological system," Hsu said. "That's why it has taken several years to correctly model the blood flows, which can change from laminar to turbulent, the heart valves, which are very thin and nonlinear, and the multiphysics coupling, which can be numerically unstable."
This kind of modeling takes supercomputing power, Hsu said. The valves in this study were simulated using computing resources at the Texas Advanced Computing Center, with each cardiac cycle taking about two days to run on 144 processing cores.
But this is a problem worth the time and effort. Any time a replacement heart valve wears out, patients face another heart procedure. That makes avoiding leaflet flutter in a replacement valve a "crucial quality criterion," the engineers wrote.
Let's investigate the science, too
Hsu credits Johnson, a doctoral student in his lab who also works on wind turbine modeling, with helping him take his lab's work further in a new direction.
"My background is in computational methods," he said. "But students suggested we should look more at the science questions, too. We're not just developing computational tools anymore."
In this case, the computer models and resulting videos make the science easy to see and understand. (As Hsu says, "I think videos are the best way to show our results.")
When thrown open by a pumping heart, the thinner leaflets buckle in the middle and flutter in the blood flow. "It's like a flag flapping," Johnson said.
She said the engineers were able to quantify the flapping and found that thinner tissues had as high as 80 times more "flutter energy" than thicker tissues.
The resulting conclusions are clear as the engineers' views of the fluid-structure interactions inside a heartvalve:
"Considering the risks associated with such observed flutter phenomena, including blood damage and accelerated leaflet deterioration, this study demonstrates the potentially serious impact of introducing thinner, more flexible tissues into the cardiac system."
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