@incollection{MuellerVeggianKopsQuinetal.2007, author = {M{\"u}ller-Veggian, Mattea and Kops, Elena Rota and Quin, Peng and Herzog, Hans}, title = {MRI Based Attenuation Correction for Brain PET Images}, series = {Advances in medical engineering / [3rd RPT - Remagener Physiktage together with the Second Scientific Workshop of Medical Robotics, Navigation and Visualization ... Remagen ... 7.-9. M{\"a}rz 2007]. Thorsten M. Buzug (ed.) Part 1.}, booktitle = {Advances in medical engineering / [3rd RPT - Remagener Physiktage together with the Second Scientific Workshop of Medical Robotics, Navigation and Visualization ... Remagen ... 7.-9. M{\"a}rz 2007]. Thorsten M. Buzug (ed.) Part 1.}, publisher = {Springer}, address = {Berlin}, isbn = {978-3-540-68763-4}, doi = {10.1007/978-3-540-68764-1_15}, pages = {93 -- 97}, year = {2007}, abstract = {This work describes a procedure to yield attenuation maps from MR images which are used for the absorption correction (AC) of brain PET data. Such an approach could be mandatory for future combined PET and MRI scanners, which probably do not include a transmission facility. T1-weighted MR images were segmented into brain tissue, bone, soft tissue, and sinus; attenuation coefficients corresponding to elemental composition and density as well as to 511 keV photon energy were respectively assigned. Attenuation maps containing up to four compartments were created and forward projected into sinograms with attenuation factors which then were used for AC during reconstruction of FDG-PET data. The commonly used AC based on a radioactive (68Ge) transmission scan served as reference. The reconstructed radioactivity values obtained with the MRI-based AC were about 20\% lower than those obtained with PET-based AC if the skull was not taken into account. Considering the skull the difference was still about 10\%. Our investigations demonstrate the feasibility of a MRI-based AC, but revealed also the necessity of a satisfying delineation of bone thickness which tends to be underestimated in our first approach of T1-weighted MR image segmentation.}, language = {en} } @incollection{Weber1998, author = {Weber, Hans-Joachim}, title = {Applied physics of compressible and incompressible fluids}, series = {Critical care nephrology / [Hrsg.:] Claudio Ronco and Rinaldo Bellomo}, booktitle = {Critical care nephrology / [Hrsg.:] Claudio Ronco and Rinaldo Bellomo}, publisher = {Springer}, address = {Dordrecht}, isbn = {978-94-010-6306-7}, pages = {63 -- 84}, year = {1998}, language = {en} } @incollection{Dikta1998, author = {Dikta, Gerhard}, title = {Fundamentals of applied probability and basic statistics}, series = {Critical care nephrology / [Hrsg.:] Claudio Ronco and Rinaldo Bellomo}, booktitle = {Critical care nephrology / [Hrsg.:] Claudio Ronco and Rinaldo Bellomo}, publisher = {Springer}, address = {Dordrecht}, isbn = {978-94-010-6306-7}, pages = {51 -- 61}, year = {1998}, language = {en} } @incollection{Bialonski2016, author = {Bialonski, Stephan}, title = {Are interaction clusters in epileptic networks predictive of seizures?}, series = {Epilepsy: The Intersection of Neurosciences, Biology, Mathematics, Engineering, and Physics}, booktitle = {Epilepsy: The Intersection of Neurosciences, Biology, Mathematics, Engineering, and Physics}, publisher = {CRC Press}, isbn = {978-143983886-0}, pages = {349 -- 355}, year = {2016}, language = {en} } @incollection{BialonskiLehnertz2013, author = {Bialonski, Stephan and Lehnertz, Klaus}, title = {From time series to complex networks: an overview}, series = {Recent Advances in Predicting and Preventing Epileptic Seizures: Proceedings of the 5th International Workshop on Seizure Prediction}, booktitle = {Recent Advances in Predicting and Preventing Epileptic Seizures: Proceedings of the 5th International Workshop on Seizure Prediction}, isbn = {978-981-4525-36-7}, doi = {10.1142/9789814525350_0010}, pages = {132 -- 147}, year = {2013}, abstract = {The network approach towards the analysis of the dynamics of complex systems has been successfully applied in a multitude of studies in the neurosciences and has yielded fascinating insights. With this approach, a complex system is considered to be composed of different constituents which interact with each other. Interaction structures can be compactly represented in interaction networks. In this contribution, we present a brief overview about how interaction networks are derived from multivariate time series, about basic network characteristics, and about challenges associated with this analysis approach.}, language = {en} } @incollection{TranStaat2015, author = {Tran, Thanh Ngoc and Staat, Manfred}, title = {Uncertainty multimode failure and shakedown analysis of shells}, series = {Direct methods for limit and shakedown analysis of structures / eds. Paolo Fuschi ...}, booktitle = {Direct methods for limit and shakedown analysis of structures / eds. Paolo Fuschi ...}, publisher = {Springer}, address = {Cham}, isbn = {978-3-319-12927-3 (print) ; 978-3-319-12928-0 (online)}, doi = {10.1007/978-3-319-12928-0_14}, pages = {279 -- 298}, year = {2015}, abstract = {This paper presents a numerical procedure for reliability analysis of thin plates and shells with respect to plastic collapse or to inadaptation. The procedure involves a deterministic shakedown analysis for each probabilistic iteration, which is based on the upper bound approach and the use of the exact Ilyushin yield surface. Probabilistic shakedown analysis deals with uncertainties originated from the loads, material strength and thickness of the shell. Based on a direct definition of the limit state function, the calculation of the failure probability may be efficiently solved by using the First and Second Order Reliability Methods (FORM and SORM). The problem of reliability of structural systems (series systems) is handled by the application of a special technique which permits to find all the design points corresponding to all the failure modes. Studies show, in this case, that it improves considerably the FORM and SORM results.}, language = {en} } @incollection{TranStaat2014, author = {Tran, Thanh Ngoc and Staat, Manfred}, title = {Shakedown analysis of Reissner-Mindlin plates using the edge-based smoothed finite element method}, series = {Direct methods for limit states in structures and materials / Dieter Weichert ; Alan Ponter, ed.}, booktitle = {Direct methods for limit states in structures and materials / Dieter Weichert ; Alan Ponter, ed.}, publisher = {Springer}, address = {Dordrecht [u.a.]}, isbn = {978-94-007-6826-0 (Print) 978-94-007-6827-7 (Online)}, doi = {10.1007/978-94-007-6827-7_5}, pages = {101 -- 117}, year = {2014}, abstract = {This paper concerns the development of a primal-dual algorithm for limit and shakedown analysis of Reissner-Mindlin plates made of von Mises material. At each optimization iteration, the lower bound of the shakedown load multiplier is calculated simultaneously with the upper bound using the duality theory. An edge-based smoothed finite element method (ES-FEM) combined with the discrete shear gap (DSG) technique is used to improve the accuracy of the solutions and to avoid the transverse shear locking behaviour. The method not only possesses all inherent features of convergence and accuracy from ES-FEM, but also ensures that the total number of variables in the optimization problem is kept to a minimum compared with the standard finite element formulation. Numerical examples are presented to demonstrate the effectiveness of the present method.}, language = {en} } @incollection{StaatHeitzer2003, author = {Staat, Manfred and Heitzer, Michael}, title = {Probabilistic limit and shakedown problems}, series = {Numerical methods for limit and shakedown analysis. Deterministic and probabilistic problems}, volume = {15}, booktitle = {Numerical methods for limit and shakedown analysis. Deterministic and probabilistic problems}, editor = {Staat, Manfred and Heitzer, Michael}, publisher = {John von Neumann Institute for Computing (NIC)}, address = {J{\"u}lich}, isbn = {3-00-010001-6}, pages = {217 -- 268}, year = {2003}, language = {en} } @incollection{TranTranMatthiesetal.2017, author = {Tran, N. T. and Tran, Thanh Ngoc and Matthies, M. G. and Stavroulakis, G. E. and Staat, Manfred}, title = {Shakedown Analysis Under Stochastic Uncertainty by Chance Constrained Programming}, series = {Advances in Direct Methods for Materials and Structures}, booktitle = {Advances in Direct Methods for Materials and Structures}, publisher = {Springer}, address = {Cham}, isbn = {978-3-319-59810-9}, doi = {10.1007/978-3-319-59810-9_6}, pages = {85 -- 103}, year = {2017}, abstract = {In this paper we propose a stochastic programming method to analyse limit and shakedown of structures under uncertainty condition of strength. Based on the duality theory, the shakedown load multiplier formulated by the kinematic theorem is proved actually to be the dual form of the shakedown load multiplier formulated by static theorem. In this investigation a dual chance constrained programming algorithm is developed to calculate simultaneously both the upper and lower bounds of the plastic collapse limit and the shakedown limit. The edge-based smoothed finite element method (ES-FEM) with three-node linear triangular elements is used for structural analysis.}, language = {en} } @incollection{KnottSofroniaGerressenetal.2014, author = {Knott, Thomas C. and Sofronia, Raluca E. and Gerressen, Marcus and Law, Yuen and Davidescu, Arjana and Savii, George G. and Gatzweiler, Karl-Heinz and Staat, Manfred and Kuhlen, Torsten W.}, title = {Preliminary bone sawing model for a virtual reality-based training simulator of bilateral sagittal split osteotomy}, series = {Biomedical simulation : 6th International Symposium, ISBMS 2014, Strasbourg, France, October 16-17, 2014 : proceedings (Lecture notes in computer science : vol. 8789)}, booktitle = {Biomedical simulation : 6th International Symposium, ISBMS 2014, Strasbourg, France, October 16-17, 2014 : proceedings (Lecture notes in computer science : vol. 8789)}, publisher = {Springer}, address = {Cham}, isbn = {978-3-319-12057-7 (Online)}, doi = {10.1007/978-3-319-12057-7_1}, pages = {1 -- 10}, year = {2014}, abstract = {Successful bone sawing requires a high level of skill and experience, which could be gained by the use of Virtual Reality-based simulators. A key aspect of these medical simulators is realistic force feedback. The aim of this paper is to model the bone sawing process in order to develop a valid training simulator for the bilateral sagittal split osteotomy, the most often applied corrective surgery in case of a malposition of the mandible. Bone samples from a human cadaveric mandible were tested using a designed experimental system. Image processing and statistical analysis were used for the selection of four models for the bone sawing process. The results revealed a polynomial dependency between the material removal rate and the applied force. Differences between the three segments of the osteotomy line and between the cortical and cancellous bone were highlighted.}, language = {en} }