Real‐time simulation of surgery by reduced‐order modeling and X‐FEM techniques

Niroomandi, Siamak; Alfaro, Icíar; González, David; Cueto, Elías; Chinesta, Francisco

doi:10.1002/cnm.1491

Cited by 71 publications

(66 citation statements)

References 45 publications

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“…It is now clear that the use of model reduction seems to be an appealing alternative for reaching such performances. However, techniques based on the use of POD, POD with interpolation (PODI), even combined with asymptotic numerical methods to avoid the computation of the tangent stiffness matrix [28,54], exhibit serious difficulties to fulfil such requirements as discussed in [60][61][62][63].…”

Section: Surgery Simulatorsmentioning

confidence: 99%

PGD-Based Computational Vademecum for Efficient Design, Optimization and Control

Chinesta

Leygue²,

Bordeu³

et al. 2013

Arch Computat Methods Eng

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280

291

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. to face the challenges posed by current ICT technologies. Despite the impressive progress attained by simulation capabilities and techniques, some challenging problems remain today intractable. These problems, that are common to many branches of science and engineering, are of different nature. Among them, we can cite those related to highdimensional problems, which do not admit mesh-based approaches due to the exponential increase of degrees of freedom. We developed in recent years a novel technique, called Proper Generalized Decomposition (PGD). It is based on the assumption of a separated form of the unknown field and it has demonstrated its capabilities in dealing with highdimensional problems overcoming the strong limitations of classical approaches. But the main opportunity given by this technique is that it allows for a completely new approach for classic problems, not necessarily high dimensional. Many challenging problems can be efficiently cast into a multidimensional framework and this opens new possibilities to solve old and new problems with strategies not envisioned until now. For instance, parameters in a model can be set as additional extra-coordinates of the model. In a PGD framework, the resulting model is solved once for life, in order to obtain a general solution that includes all the solutions for every possible value of the parameters, that is, a sort of computational vademecum. Under this rationale, optimization of complex problems, uncertainty quantification, simulation-based control and real-time simulation are now at hand, even in highly complex scenarios, by combining an off-line stage in which the general PGD solution, the vademecum, is computed, and an on-line phase in which, even on deployed, handheld, platforms such as smartphones or tablets, real-time response is obtained as a result of our queries.

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Section: Surgery Simulatorsmentioning

confidence: 99%

PGD-Based Computational Vademecum for Efficient Design, Optimization and Control

Chinesta

Leygue²,

Bordeu³

et al. 2013

Arch Computat Methods Eng

Self Cite

280

291

View full text Add to dashboard Cite

show abstract

“…Other hy perelastic models have also been used. Niroomandi et al (43) used a simpler Saint Venant-Kirchhoff hyperelastic model. Bryant and McDonnell (44) created a 2D axisymmetric model to compare various isotropic and a couple of transversely isotropic constitutive models of the cornea.…”

Section: Materials Modelsmentioning

confidence: 99%

“…Niroomandi et al (43) presented a novel numerical technique for actual surgery simulation using an extended FEM (X-FEM). The X-FEM enhances standard FE by defining additional degrees of freedom, in this case, for fracture opening (those interested in further theory of the X-FEM can refer to the work of Belytschko et al (52) , among others).…”

Section: Surgerymentioning

confidence: 99%

Finite element modelling of cornea mechanics: a review

Nejad

Foster

Gongal

2014

Arquivos Brasileiros De Oftalmologia

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The cornea is a transparent tissue in front of the eye that refracts light and facilitates vision. A slight change in the geometry of the cornea remarkably affects the optical power. Because of this sensitivity, biomechanical study of the cornea can reveal much about its performance and function. In vivo and in vitro studies have been conducted to investigate the mechanics of the cornea and determine its characteristics. Numerical techniques such as the finite element method (FEM) have been extensively implemented as effective and noninvasive methods for analyzing corneal mechanics and possible disorders. This article reviews the use of FEM for assessing the mechanical behavior of the cornea. Different applications of FEM in corneal disease studies, surgical predictions, impact simulations, and clinical applications have been reviewed. Some suggestions for the future of this type of modeling in the area of corneal mechanics are also discussed.

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“…For a detailed description of how resection could be simulated under MOR settings, we refer the interested reader to our former work [19]. For the sake of simplicity, we focus on the simulation of the interaction of surgical tools and organ, without the presence of cuts.…”

Section: Simulation Of Liver Palpationmentioning

confidence: 99%

“…This basis is determined after constructing the correlation matrix of the results obtained by solving similar problems to the one at hand (the so-called snapshots of the system). These snapshots could be obtained, for instance, by simulating different points of contact between surgical tools and organ, as in [18,19]. These snapshots allow to extract the basis to simulate, in a Galerkin framework, for instance, situations different to the original ones (a new point of contact, not considered initially, for instance).…”

mentioning

confidence: 99%

Real-time in silico experiments on gene regulatory networks and surgery simulation on handheld devices

et al. 2014

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Simulation of all phenomena taking place in a surgical procedure is a formidable task that involves, when possible, the use of supercomputing facilities over long time periods. However, decision taking in the operating room needs for fast methods that provide an accurate response in real time. To this end, Model Order Reduction (MOR) techniques have emerged recently in the field of Computational Surgery to help alleviate this burden. In this paper, we review the basics of classical MOR and explain how a technique recently developed by the authors and coined as Proper Generalized Decomposition could make real-time feedback available with the use of simple devices like smartphones or tablets. Examples are given on the performance of the technique for problems at different scales of the surgical procedure, form gene regulatory networks to macroscopic soft tissue deformation and cutting.

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Real‐time simulation of surgery by reduced‐order modeling and X‐FEM techniques

Cited by 71 publications

References 45 publications

PGD-Based Computational Vademecum for Efficient Design, Optimization and Control

PGD-Based Computational Vademecum for Efficient Design, Optimization and Control

Finite element modelling of cornea mechanics: a review

Real-time in silico experiments on gene regulatory networks and surgery simulation on handheld devices

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