Real time simulation for computational surgery: a review

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Real time simulation for computational surgery: a review Elías Cueto1* and Francisco Chinesta2,3 *Correspondence: [email protected] 1 Aragón Institute of Engineering Research, Universidad de Zaragoza, Zaragoza, Spain Full list of author information is available at the end of the article

Abstract In this paper a non-exhaustive review is made on the existing literature for real-time simulation in the field of computational surgery. Many methods have been proposed so far to deal with the very astringent assumption of real-time response in the field, specially for simulators equipped with haptic peripherals. A special emphasis is made on techniques that respond to the so-called second generation of surgery simulators, that able to adequately model the mechanics of the problem. Techniques employing supercomputing facilities, notably those base upon parallel implementations on GPUs will be covered, while special attention will be paid to techniques based upon model order reduction, a promising technique in the field. Finally, some review is made on techniques able to give some insight in the so-called third generation of surgery simulators, i.e., that able to include physiological details into the simulation. Keywords: Numerical simulation; Computational surgery; Real time; Model order reduction

Introduction Computational surgery has been defined recently [1] as “the application of mathematics and algorithm design, enabling imaging, robotics, informatics, and simulation technologies, incorporating biological and physical principles, to improve surgery”. It has been since the early times of development of computers that their promising use in the field of medicine has been investigated [2,3]. With the irruption of endoscopical and minimally invasive procedures, on one side, and robot-operated surgery, on the other, training of surgeons has becoming a task in which computer simulation has acquired a preeminent role in recent years [4]. In essence, surgeons have begun to access organs during surgery in an indirect way, through a screen, and this needs for a period of intensive training to avoid costly errors. R. Satava [5] proposed some fifteen years ago a taxonomy of virtual anatomy that he divided into five different generations. The first generation was composed by systems representing accurately the geometry of the organs at a macroscopic level. The second generation would include an accurate description of the physical dynamics of the body. While it is still hard, more than a decade after, to find a real-time surgical simulator that incorporates accurate, state-of-the-art models for soft tissues at a continuum level, this taxonomy included three more generations. From the third to the fifth one, these virtual © 2014 Cueto and Chinesta; licensee Springer. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the origin