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Articles

Optimal applicator placement in hepatic radiofrequency ablation on the basis of rare data

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Pages 431-440 | Received 11 Jun 2009, Accepted 08 Sep 2009, Published online: 10 Dec 2009

References

  • Antontsev , SN and Chipot , M . 1994 . The thermistor problem: existence, smoothness, uniqueness, blowup . SIAM J Math Anal , 25 ( 4 ) : 1128 – 1156 .
  • Beer , M and Liebscher , M . 2008 . Designing robust structures – a nonlinear simulation based approach . Comput Struct , 86 ( 10 ) : 1102 – 1122 .
  • Berjano , EJ . 2006 . Theoretical modelling for radiofrequency ablation: state-of-the-art and challenges for the future . Biomed Eng Online , 5 : 24
  • Bourquain , H , Schenk , A , Link , F , Preim , B , Prause , G and Peitgen , H-O . 2002 . HepaVision2: a software assistant for preoperative planning in living-related liver transplantation and oncologic liver surgery . Comput Assist Radiol Surg , : 341 – 346 .
  • Deuflhard , P , Weiser , M and Seebaß , M . 2000 . A new nonlinear elliptic multilevel FEM applied to regional hyperthermia . Comput Vis Sci , 3 ( 3 ) : 115 – 120 .
  • Dubois , D and Prade , H . 1997 . The three semantics of fuzzy sets . Fuzzy Set Syst , 90 ( 2 ) : 141 – 150 .
  • Ebanks , BR . 1983 . On measures of fuzziness and their representations . J Math Anal Appl , 94 (1) : 24 – 37 .
  • Fetz , T , Oberguggenberger , M , Jager , J , Koll , D , Krenn , G , Lessmann , H and Stark , R . 1999 . Fuzzy models in geotechnical engineering and construction management . Comput-Aided Civ Inf , 14 ( 2 ) : 93 – 106 .
  • Freitag , S , Graf , W , Pannier , S and Sickert , JU . 2008 . “ Reliability of structures under consideration of uncertain time-dependent material behavior ” . In Soft methods for handling variability and imprecision , Edited by: Dubois , D , Lubiano , AA , Prade , H , Gil , MA , Grzegorzewski , P and Hryniewicz , O . Vol. 48 , 383 – 390 . Berlin : Springer .
  • Gersem , HD , Moens , D , Desmet , W and Vandepitte , D . 2005 . A fuzzy finite element procedure for the calculation of uncertain frequency response functions of damped structures: part 2 – numerical case studies . J Sound Vib , 288 ( 3 ) : 463 – 486 .
  • Haykin , S . 1999 . Neural networks: a comprehensive foundation , New York : Prentice Hall .
  • Johnson , C . 2009 . Numerical solution of partial differential equations by the finite element method , Dover : Dover Publications, Inc .
  • Krätschmer , V . 2001 . A unified approach to fuzzy random variables . Fuzzy Set Syst , 123 ( 1 ) : 1 – 9 .
  • Kröger , T , Altrogge , I , Preusser , T , Pereira , PL , Schmidt , D , Weihusen , A and Peitgen , H-O . 2006 . “ Numerical simulation of radio frequency ablation with state dependent material parameters in three space dimensions ” . In Proceedings of the MICCAI , Springer LNCS, Vol. 4191 380 – 388 .
  • Leekwijck , WV and Kerre , EE . 1999 . Defuzzification: criteria and classification . Fuzzy Set Syst , 108 ( 2 ) : 159 – 178 .
  • Liu , F . 2002 . An entropic regularization method for solving systems of fuzzy linear inequalities . Int J Math Math Sci , 32 (10) : 579 – 585 .
  • Miklavčič , D , Pavšelj , N and Hart , FX . 2006 . Electric properties of tissues , Wiley Encyclopedia of Biomedical Engineering New York, NY, USA : John Wiley and Sons .
  • Möller , B and Beer , M . 2004 . Fuzzy randomness – uncertainty in civil engineering and computational mechanics , Berlin : Springer .
  • Möller , B and Beer , M . 2008 . Engineering computation under uncertainty – capabilities of non-traditional models . Comput Struct , 86 ( 10 ) : 1024 – 1041 .
  • Möller , B and Reuter , U . 2007 . Uncertainty forecasting in engineering , Berlin : Springer .
  • Möller , B , Beer , M , Graf , W , Hoffmann , A and Sickert , JU . 2000 . “ Fuzzy based reliability assessment of structures ” . In IASS-IACM 2000 – Proceedings of the 4th International Colloquium on Computation of Shell & Spatial Structures, Chania, Greece Edited by: Papadrakakis , M , Samartin , A and Onate , E . 13 CD-ROM
  • Möller , B , Beer , M , Graf , W and Sickert , JU . 2006 . Time-dependent reliability of textile strengthened RC structures under consideration of fuzzy randomness . Comput Struct , 84 ( 8–9 ) : 585 – 603 .
  • Mooibroek , J and Lagendijk , JJ . 1991 . A fast and simple algorithm for the calculation of convective heat transfer by large vessels in three-dimensional inhomogeneous tissues . IEEE Trans Biomed Eng , 38 ( 5 ) : 490 – 501 .
  • Muhanna , R and Mullen , R . 1999 . Formulation of fuzzy finite element methods for solid mechanics problems . Comput-Aided Civ Inf , 14 ( 2 ) : 107 – 117 .
  • Pal , NR and Bezdek , JC . 1994 . Measuring fuzzy uncertainty . IEEE Trans Fuzzy Syst , 2 ( 29 ) : 107 – 118 .
  • Pannier , S , Graf , W , Müllerschön , H and Liebscher , M . 2008a . “ Simulation of metal forming processes under consideration of imprecise probabilities ” . In Proceedings of the 7th German LS-DYNA Forum, Bamberg C-III-37
  • Pannier , S , Sickert , J-U and Graf , W . 2008b . Optimization under consideration of uncertain input quantities . Proc Appl Math Mech , 8 ( 1 ) : 10781 – 10782 .
  • Pennes , HH . 1948 . Analysis of tissue and arterial blood temperatures in a resting human forearm . J Appl Physiol , 1 ( 2 ) : 93 – 122 .
  • Roggan , A . 1997 . Dosimetrie thermischer Laseranwendungen in der Medizin Edited by: Müller , GJ and Berlien , HP . Hrsg. Fortschritte in der Lasermedizin; Vol. 16
  • Rommelfanger , H . 1988 . Fuzzy decision support-systeme , Berlin : Springer .
  • Selle , D , Preim , B , Schenk , A and Peitgen , H-O . 2002 . Analysis of vasculature for liver surgical planning . IEEE Trans Med Imaging , 21 ( 11 ) : 1344 – 1357 .
  • Sheu , TW , Chou , C , Tsai , S and Liang , P . 2005 . Three-dimensional analysis for radio-frequency ablation of liver tumor with blood perfusion effect . Comput Methods Biomech Biomed Eng , 8 ( 4 ) : 229 – 240 .
  • Simpson , T , Poplinski , J , Koch , PN and Allen , J . 2001 . Metamodels for computer-based engineering design: survey and recommendations . Eng Comput , 17 ( 2 ) : 129 – 150 .
  • Stein , T . 2000 . Untersuchungen zur Dosimetrie der hochfrequenzstrominduzierten interstitiellen Thermotherapie in bipolarer Technik Edited by: Müller , GJ and Berlien , HP . Hrsg. Fortschritte in der Lasermedizin; Vol. 22
  • Tungjitkusolmun , S , Staelin , ST , Haemmerich , D , Tsai , JZ , Webster , JG , Lee , FTJ , Mahvi , D and Vorperian , V . 2002 . Three-dimensional finite-element analyses for radio-frequency hepatic tumor ablation . IEEE Trans Biomed Eng , 49 ( 1 ) : 3 – 9 .
  • Villard , C , Soler , L and Gangi , A . 2005 . Radiofrequency ablation of hepatic tumors; simulation, planning, and contribution of virtual reality and haptics . Comput Methods Biomed Eng , 8 ( 4 ) : 215 – 227 .
  • Welp C. 2005. Simulationsbasierte Untersuchung der hochfrequenten Thermoablation bei Lebertumoren [Ruhr-Universität Bochum Ph.D. thesis]
  • Wu , D and Mendel , JM . 2007 . Uncertainty measures for interval type-2 fuzzy sets . Inform Sci , 177 ( 23 ) : 5378 – 5393 .
  • Zadeh , L . 1965 . Fuzzy sets . Inform Control , 8 : 338 – 353 .
  • Zimmermann , HJ . 1992 . Fuzzy set theory and its applications , Boston : Kluwer .

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