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POD for real-time simulation of hyperelastic soft biological tissue using the point collocation method of finite spheres

  • The point collocation method of finite spheres (PCMFS) is used to model the hyperelastic response of soft biological tissue in real time within the framework of virtual surgery simulation. The proper orthogonal decomposition (POD) model order reduction (MOR) technique was used to achieve reduced-order model of the problem, minimizing computational cost. The PCMFS is a physics-based meshfree numerical technique for real-time simulation of surgical procedures where the approximation functions are applied directly on the strong form of the boundary value problem without the need for integration, increasing computational efficiency. Since computational speed has a significant role in simulation of surgical procedures, the proposed technique was able to model realistic nonlinear behavior of organs in real time. Numerical results are shown to demonstrate the effectiveness of the new methodology through a comparison between full and reduced analyses for several nonlinear problems. It is shown that the proposed technique was able to achieve good agreement with the full model; moreover, the computational and data storage costs were significantly reduced.

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Document Type:Article
Author: Suleiman Banihani, Timon RabczukORCiDGND, Thakir Almomani
DOI (Cite-Link):https://doi.org/10.1155/2013/386501Cite-Link
URN (Cite-Link):https://nbn-resolving.org/urn:nbn:de:gbv:wim2-20170413-31203Cite-Link
Parent Title (English):Mathematical Problems in Engineering
Date of Publication (online):2017/04/13
Year of first Publication:2013
Release Date:2017/04/13
Publishing Institution:Bauhaus-Universität Weimar
Institutes:Fakultät Bauingenieurwesen / Institut für Strukturmechanik
GND Keyword:Chirurgie; Finite-Elemente-Methode
Dewey Decimal Classification:000 Informatik, Informationswissenschaft, allgemeine Werke / 000 Informatik, Wissen, Systeme
BKL-Classification:44 Medizin / 44.65 Chirurgie
54 Informatik / 54.80 Angewandte Informatik
Licence (German):License Logo Creative Commons 4.0 - Namensnennung (CC BY 4.0)