3D-Printed Blood Vessels: The Tech Just Became Scalable with Mathematica and the Wolfram Language

"If there's a known algorithm, we want an optimal implementation; if there isn't, we want to invent one." - Greg Hurst of Wolfram Research took one of the company's mission statements very seriously. Thousands of existing algorithms couldn't solve a problem, so he created one.


Researchers at the University of Illinois at Urbana–Champaign and Wolfram Research have developed a novel 3D-printing method called bioprinting that uses isomalt, a type of sugar found in throat lozenges, to generate physiological vasculature. The interdisciplinary method combines mechanical engineering, computational geometry, materials science and theoretical computer science to expand existing bioprinting methods to any shape and size.

Applications of the sugary network structures include biomedical engineering, computer chip manufacturing, and oncology, owed to a computational approach of algorithmically determining printing sequences of the structures. The algorithm prevents the isomalt fiber networks from being destroyed during the printing process by controlling the direction of the robotic nozzle that extrudes isomalt—imagine navigating a maze of possibilities without crossing the same path twice within certain parameters.

Greg Hurst, developer at Wolfram Research, used the company's flagship program Mathematica to create the algorithm. "This problem spans many disciplines. Computational geometry is needed for collision detection, NP-complete graph problems—like finding cliques—need to be solved and sparse matrix solvers need to be invoked thousands of times throughout. With the Wolfram Language, I was able to hammer out fast code in a matter of weeks," said Hurst.
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