SENSITIVITY ANALYSIS FOR THE OPTIMIZATION OF RADIOFREQUENCY ABLATION IN THE PRESENCE OF MATERIAL PARAMETER UNCERTAINTY
暂无分享,去创建一个
Inga Altrogge | Tim Kröger | Sabrina Haase | Robert M. Kirby | Tobias Preusser | R. Kirby | T. Preußer | T. Kröger | I. Altrogge | S. Haase
[1] N. Cutland,et al. On homogeneous chaos , 1991, Mathematical Proceedings of the Cambridge Philosophical Society.
[2] George E. Karniadakis,et al. Multi-element probabilistic collocation method in high dimensions , 2010, J. Comput. Phys..
[3] R. Fletcher. Practical Methods of Optimization , 1988 .
[4] I. Babuska,et al. Solution of stochastic partial differential equations using Galerkin finite element techniques , 2001 .
[5] Luc Soler,et al. Radiofrequency ablation of hepatic tumors: simulation, planning, and contribution of virtual reality and haptics , 2005, Computer methods in biomechanics and biomedical engineering.
[6] R. Ghanem,et al. Stochastic Finite Elements: A Spectral Approach , 1990 .
[7] Heinz-Otto Peitgen,et al. On the Modelling of Perfusion in the Simulation of RF-Ablation , 2005, SimVis.
[8] Tim Kröger,et al. Simulation of Radiofrequency Ablation Including Water Evaporation , 2009 .
[9] F. C. Donders,et al. Physiologie des Menschen , 1913, Nature.
[10] Martin Rumpf,et al. SIMULATION OF RADIO-FREQUENCY ABLATION USING COMPOSITE FINITE ELEMENT METHODS , 2004 .
[11] H. H. Pennes. Analysis of tissue and arterial blood temperatures in the resting human forearm. 1948. , 1948, Journal of applied physiology.
[12] S. Arrhenius. Über die Reaktionsgeschwindigkeit bei der Inversion von Rohrzucker durch Säuren , 1889 .
[13] E. Somersalo,et al. Statistical inverse problems: discretization, model reduction and inverse crimes , 2007 .
[14] Nicholas Zabaras,et al. A markov random field model of contamination source identification in porous media flow , 2006 .
[15] Xiang Ma,et al. An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations , 2009, J. Comput. Phys..
[16] O. Harth,et al. Wasserhaushalt, Stoff-, Flüssigkeitstransport , 1977 .
[17] Tony W H Sheu,et al. Three-dimensional analysis for radio-frequency ablation of liver tumor with blood perfusion effect , 2005, Computer methods in biomechanics and biomedical engineering.
[18] H. Najm,et al. A stochastic projection method for fluid flow II.: random process , 2002 .
[19] Robert Michael Kirby,et al. Application of Stochastic Finite Element Methods to Study the Sensitivity of ECG Forward Modeling to Organ Conductivity , 2008, IEEE Transactions on Biomedical Engineering.
[20] Xiang Ma,et al. An adaptive high-dimensional stochastic model representation technique for the solution of stochastic partial differential equations , 2010, J. Comput. Phys..
[21] Christof Büskens,et al. Towards Optimization of Probe Placement for Radio-Frequency Ablation , 2006, MICCAI.
[22] J Crezee,et al. The theoretical and experimental evaluation of the heat balance in perfused tissue. , 1994, Physics in medicine and biology.
[23] Peter Deuflhard,et al. A New Nonlinear Elliptic Multilevel FEM Applied to Regional Hyperthermia , 1998 .
[24] Dongbin Xiu,et al. High-Order Collocation Methods for Differential Equations with Random Inputs , 2005, SIAM J. Sci. Comput..
[25] F. Maltz,et al. Variance reduction in Monte Carlo computations using multi-dimensional hermite polynomials , 1979 .
[26] H. Peitgen,et al. HepaVision2 — a software assistant for preoperative planning in living-related liver transplantation and oncologic liver surgery , 2002 .
[27] Robert L. Galloway,et al. Optimizing Electrode Placement Using Finite-Element Models in Radiofrequency Ablation Treatment Planning , 2009, IEEE Transactions on Biomedical Engineering.
[28] Nicholas Zabaras,et al. Using Bayesian statistics in the estimation of heat source in radiation , 2005 .
[29] Heinz-Otto Peitgen,et al. Numerical Simulation of Radio Frequency Ablation with State Dependent Material Parameters in Three Space Dimensions , 2006, MICCAI.
[30] L. S. Hou,et al. Finite element approximations of stochastic optimal control problems constrained by stochastic elliptic PDEs , 2011 .
[31] Andreas Keese,et al. Numerical Solution of Systems with Stochastic Uncertainties : A General Purpose Framework for Stochastic Finite Elements , 2004 .
[32] R K Jain,et al. Blood flow and heat transfer in Walker 256 mammary carcinoma. , 1979, Journal of the National Cancer Institute.
[33] J Crezee,et al. Temperature uniformity during hyperthermia: the impact of large vessels. , 1992, Physics in medicine and biology.
[34] J. Lagendijk. The influence of bloodflow in large vessels on the temperature distribution in hyperthermia. , 1982, Physics in medicine and biology.
[35] R. Ghanem,et al. A stochastic projection method for fluid flow. I: basic formulation , 2001 .
[36] A. Chorin. Hermite expansions in Monte-Carlo computation , 1971 .
[37] D. Xiu,et al. Modeling Uncertainty in Steady State Diffusion Problems via Generalized Polynomial Chaos , 2002 .
[38] D. Xiu,et al. Modeling uncertainty in flow simulations via generalized polynomial chaos , 2003 .
[39] Lena Maier-Hein,et al. Computer-assisted trajectory planning for percutaneous needle insertions. , 2011, Medical physics.
[40] Jie Shen,et al. Efficient stochastic Galerkin methods for random diffusion equations , 2009, J. Comput. Phys..
[41] E. Polak,et al. Minimax optimization-based inverse treatment planning for interstitial thermal therapy. , 1998, International journal of hyperthermia : the official journal of European Society for Hyperthermic Oncology, North American Hyperthermia Group.
[42] M. Rumpf,et al. Composite finite elements for 3D image based computing , 2009 .
[43] John G. Webster,et al. Hepatic radiofrequency ablation with internally cooled probes: effect of coolant temperature on lesion size , 2003, IEEE Transactions on Biomedical Engineering.
[44] Robert Michael Kirby,et al. Estimation of Probability Density Functions for Parameter Sensitivity Analyses , 2008, SimVis.
[45] Ming Li,et al. Mixed variable optimization for radio frequency ablation planning , 2011, Medical Imaging.
[46] P. Wolf,et al. A Three-Dimensional Finite Element Model of Radiofrequency Ablation with Blood Flow and its Experimental Validation , 2000, Annals of Biomedical Engineering.
[47] G. Karniadakis,et al. Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures , 2006, SIAM J. Sci. Comput..
[48] N. Zabaras,et al. Stochastic inverse heat conduction using a spectral approach , 2004 .
[49] Luc Soler,et al. Optimal Trajectories Computation Within Regions of Interest for Hepatic RFA Planning , 2005, MICCAI.
[50] Dongbin Xiu,et al. The Wiener-Askey Polynomial Chaos for Stochastic Differential Equations , 2002, SIAM J. Sci. Comput..
[51] Robert Michael Kirby,et al. Stochastic Collocation for Optimal Control Problems with Stochastic PDE Constraints , 2012, SIAM J. Control. Optim..
[52] Christof Büskens,et al. Multiscale optimization of the probe placement for radiofrequency ablation. , 2007, Academic radiology.
[53] Nicholas Zabaras,et al. Hierarchical Bayesian models for inverse problems in heat conduction , 2005 .
[54] I. Babuska,et al. Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation , 2005 .
[55] Jangwoon Lee,et al. Error Estimates of Stochastic Optimal Neumann Boundary Control Problems , 2011, SIAM J. Numer. Anal..
[56] Wolfgang Hackbusch,et al. Multi-grid methods and applications , 1985, Springer series in computational mathematics.
[57] Hong Cao,et al. Three-dimensional finite-element analyses for radio-frequency hepatic tumor ablation , 2002, IEEE Trans. Biomed. Eng..
[58] Helmut Ermert,et al. Investigation of the influence of blood flow rate on large vessel cooling in hepatic radiofrequency ablation / Untersuchung des Einflusses der Blutflussgeschwindigkeit auf die Gefäßkühlung bei der Radiofrequenzablation von Lebertumoren , 2006, Biomedizinische Technik. Biomedical engineering.
[59] Elisabeth Ullmann,et al. Computational aspects of the stochastic finite element method , 2007 .
[60] Fabio Nobile,et al. A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data , 2008, SIAM J. Numer. Anal..
[61] Kemal Tuncali,et al. Pre- and Intra-operative Planning and Simulation of Percutaneous Tumor Ablation , 2000, MICCAI.
[62] A. Chorin. Gaussian fields and random flow , 1974, Journal of Fluid Mechanics.
[63] H. Rhim,et al. Intrahepatic recurrence after percutaneous radiofrequency ablation of hepatocellular carcinoma: analysis of the pattern and risk factors. , 2006, European journal of radiology.
[64] W. Meecham,et al. Use of the Wiener—Hermite expansion for nearly normal turbulence , 1968, Journal of Fluid Mechanics.
[65] H. F. Bowman,et al. Heat transfer and thermal dosimetry. , 1981, The Journal of microwave power.
[66] Luc Soler,et al. Trajectory optimization for the planning of percutaneous radiofrequency ablation of hepatic tumors , 2007, Computer aided surgery : official journal of the International Society for Computer Aided Surgery.