2021
Sophie Fischer, Rainald Ehrig, Stefan Schäfer, Enrico Tronci, Toni Mancini, Marcel Egli, Fabian Ille, Tillmann H. C. Krüger, Brigitte Leeners, Susanna Röblitz	Mathematical modelling and simulation provides evidence for new strategies of ovarian stimulation	Frontiers in Bioengineering and Biotechnology, 2021	BibTeX DOI
Heide Boeth, Robert Biesen, Jeremias Hollnagel, Sandra Herrmann, Rainald M. Ehrig, Lorenzo Pelli, William R. Taylor, Georg N. Duda, Frank Buttgereit	Quantification of morning stiffness to assess disease activity and treatment effects in rheumatoid arthritis	Rheumatology, 2021 (accepted for publication)	BibTeX DOI
2020
Marie-Christin Weber, Lisa Fischer, Alexandra Damerau, Igor Ponomarev, Moritz Pfeiffenberger, Timo Gaber, Sebastian Götschel, Jens Lang, Susanna Röblitz, Frank Buttgereit, Rainald Ehrig, Annemarie Lang	Macroscale mesenchymal condensation to study cytokine-driven cellular and matrix-related changes during cartilage degradation	Biofabrication, 12(4), 2020	BibTeX DOI
Julia Plöntzke, Mascha Berg, Rainald Ehrig, Sabine Leonhard-Marek, Kerstin-Elisabeth Müller, Susanna Röblitz	Model based exploration of hypokalemia in dairy cows	Biology Direct, 2020 (under review)	BibTeX
Sónia Alves, Rainald Ehrig, Peter C. Raffalt, Alwina Bender, Georg N. Duda, Alison N. Agres	Quantifying Asymmetry in Gait: A Weighted Universal Symmetry Index to Evaluate 3D Ground Reaction Forces	Frontiers in Bioengineering and Biotechnology, 2020	BibTeX
2019
Annemarie Lang, Lisa Fischer, Marie-Christin Weber, Timo Gaber, Rainald Ehrig, Susanna Röblitz, Frank Buttgereit	Combining in vitro simulation and in silico modelling towards a sophisticated human osteoarthritis model	Osteoarthritis and Cartilage, Vol.27, p. S183, 2019	BibTeX DOI
Marie-Christin Weber, Lisa Fischer, Alexandra Damerau, Igor Ponomarev, Moritz Pfeiffenberger, Timo Gaber, Sebastian Götschel, Jens Lang, Susanna Röblitz, Frank Buttgereit, Rainald Ehrig, Annemarie Lang	In vitro and in silico modeling of cellular and matrix-related changes during the early phase of osteoarthritis	BioRxiv, 2019	BibTeX DOI
Rainald Ehrig, Markus O. Heller	On intrinsic equivalences of the finite helical axis, the instantaneous helical axis, and the SARA approach. A mathematical perspective.	Journal of Biomechanics, Vol.84, pp. 4-10, 2019	BibTeX DOI
2018
Toni Mancini, Federico Mari, Annalisa Massini, Igor Melatti, Ivano Salvo, Stefano Sinisi, Enrico Tronci, Rainald Ehrig, Susanna Röblitz, Brigitte Leeners	Computing Personalised Treatments through In Silico Clinical Trials. A Case Study on Downregulation in Assisted Reproduction	Experimental Evaluation of Algorithms for Solving Problems with Combinatorial Explosion, Workshop of the Federated Logic Conference 2018 (FLoC 2018), Oxford, pp. 1-16, 2018	BibTeX DOI
Annemarie Lang, Andrea Volkamer, Laura Behm, Susanna Röblitz, Rainald Ehrig, Marlon Schneider, Lisbet Geris, Joerg Wichard, Frank Buttgereit	In silico Methods - Computational Alternatives to Animal Testing	ALTEX, 35(1), pp. 126-128, 2018	BibTeX DOI
2017
Michael Hengartner, Tillmann H. C. Krüger, Kirsten Geraedts, Enrico Tronci, Toni Mancini, Fabian Ille, Marcel Egli, Susanna Röblitz, Rainald Ehrig, Lanja Saleh, Katharina Spanaus, Cordula Schippert, Yuanyuan Zhang, Brigitte Leeners	Negative affect is unrelated to fluctuations in hormone levels across the menstrual cycle: evidence from a multisite observational study across two successive cycles	Journal of Psychosomatic Research, Vol.99, pp. 21-27, 2017	BibTeX DOI
2016
Rainald Ehrig, Thomas Dierkes, Stefan Schäfer, Susanna Röblitz, Enrico Tronci, Toni Mancini, Ivano Salvo, Vadim Alimguzhin, Federico Mari, Igor Melatti, Annalisa Massini, Tillmann H. C. Krüger, Marcel Egli, Fabian Ille, Brigitte Leeners	An integrative approach for model driven computation of treatments in reproductive medicine	BIOMAT - Proceedings of the 15th International Symposium on Mathematical and Computational Biology, Rorkee, India, 2016 (preprint available as ZIB-Report 16-04)	PDF (ZIB-Report) BibTeX
2015
Heide Boeth, Georg N. Duda, Daniel Hinzmann, Sandra Hermann, William R. Taylor, Rainald Ehrig, Tom Witaschek, Frank Buttgereit	A Novel Approach to Quantify Morning Stiffness in Patients with Rheumatoid Arthritis	Annual European Congress of Rheumatology, EULAR 2015, Rome, 2015	BibTeX
Maryam Hajizadeh, Pascal Schütz, Renate List, Heide Boeth, Rainald Ehrig, Barbara Postolka, Michael A. R. Freeman, William R. Taylor	Interpretation of tibio-femoral kinematics critically depends upon the kinematic analysis approach	ISB 2015, 25th congress of the International Society of Biomechanics, Glasgow, 2015	BibTeX
Martin Krämer, Karl-Heinz Herrmann, Heide Boeth, Christoph von Tycowicz, Christian König, Stefan Zachow, Rainald Ehrig, Hans-Christian Hege, Georg N. Duda, Jürgen Reichenbach	Measuring 3D knee dynamics using center out radial ultra-short echo time trajectories with a low cost experimental setup	ISMRM (International Society for Magnetic Resonance in Medicine), 23rd Annual Meeting 2015, Toronto, Canada, 2015	BibTeX
Heide Boeth, Georg N. Duda, Daniel Hinzmann, William R. Taylor, Rainald Ehrig, Tom Witaschek, Frank Buttgereit	Objektive Quantifizierung der Morgensteifigkeit als Parameter für rheumatoide Arthritis im Metacarpophalangealgelenk	9. Jahrestagung der Deutschen Gesellschaft für Biomechanik (DGfB), Bonn, 2015	BibTeX
Dany Pascal Moualeu-Ngangue, Martin Weiser, Rainald Ehrig, Peter Deuflhard	Optimal control for a tuberculosis model with undetected cases in Cameroon	Communications in Nonlinear Science and Numerical Simulation, 20(3), pp. 986-1003, 2015 (preprint available as ZIB-Report 13-73)	PDF (ZIB-Report) BibTeX DOI
Dany Pascal Moualeu-Ngangue, Susanna Röblitz, Rainald Ehrig, Peter Deuflhard	Parameter Identification in a Tuberculosis Model for Cameroon	PLOS ONE, 2015 (preprint available as ZIB-Report 13-72)	PDF (ZIB-Report) BibTeX DOI
2014
Claudia Stötzel, Rainald Ehrig, H. Marike T. Boer, Julia Plöntzke, Susanna Röblitz	Exploration of different wave patterns in a model of the bovine estrous cycle by Fourier analysis	BIOMAT - Proceedings of the 14th International Symposium on Mathematical and Computational Biology, Bedlewo, Poland, 2014 (preprint available as ZIB-Report 16-02)	PDF (ZIB-Report) BibTeX
Toni Mancini, Ivano Salvo, Federico Mari, Igor Melatti, Annalisa Massini, Stefano Sinisi, Enrico Tronci, Francesco Davi, Thomas Dierkes, Rainald Ehrig, Susanna Röblitz, Brigitte Leeners, Tillmann H. C. Krüger, Marcel Egli, Fabian Ille	Patient-Specific Models from Inter-Patient Biological Models and Clinical Records	Proceedings of the 14th Conference on Formal Methods in Computer-Aided Design (FMCAD 2014), pp. 207-214, 2014	BibTeX
Philippe Moewis, Heide Boeth, Markus O. Heller, Caroline Yntema, Tobias Jung, Ralf Doyscher, Rainald Ehrig, Yanlin Zhong, William R. Taylor	Towards understanding knee joint laxity: Errors in non-invasive assessment of joint rotation can be corrected	Medical Engineering and Physics, 36(7), pp. 889-895, 2014	BibTeX DOI
2013
Heide Boeth, Georg N. Duda, Markus O. Heller, Rainald Ehrig, Ralf Doyscher, Tobias Jung, Philippe Moewis, Sven Scheffler, William R. Taylor	Anterior cruciate ligament-deficient patients with passive knee joint laxity have a decreased range of anterior-posterior motion during active movements	The American Journal of Sports Medicine, 41(5), pp. 1051-7, 2013	BibTeX DOI
2012
Stefan Kratzenstein, Evgenios I. Kornaropoulos, Rainald Ehrig, Markus O. Heller, Berry M. Pöpplau, William R. Taylor	Effective marker placement for functional identification of the centre of rotation at the hip	Gait & Posture, 36(3), pp. 482-486, 2012	BibTeX DOI
William R. Taylor, Annika Fröhlich, Frank Buttgereit, Rainald Ehrig, Tom Witaschek, Georg N. Duda	Metacarpophalangeal joint stiffness is reduced in patients affected by rheumatoid arthritis after glucocorticoid medication	Proceedings of the ESM-2012, Aalborg, Uwe Kersting, Michael Morlock, Daniela Jirova-Enzmann, Kim Dremstrup (Eds.), p. 39, 2012	BibTeX
2011
William R. Taylor, Evgenios I. Kornaropoulos, Stefan Kratzenstein, Rainald Ehrig, F. Plank, Markus O. Heller	Targeted Marker Placement for the Functional Identification of the Hip Joint Centre	Transactions Vol. 36, 2011 Annual Meeting of the Orthopedic Society, 2011	BibTeX
Rainald Ehrig, Markus O. Heller, Stefan Kratzenstein, Georg N. Duda, Adam Trepczynski, William R. Taylor	The SCoRE residual: A quality index to assess the accuracy of joint estimations	Journal of Biomechanics, 44(7), pp. 1400-1404, 2011	BibTeX DOI
William R. Taylor, Berry M. Pöpplau, Christian König, Rainald Ehrig, Stefan Zachow, Georg N. Duda, Markus O. Heller	The medial-lateral force distribution in the ovine stifle joint during walking	Journal of Orthopaedic Research, 29(4), pp. 567-571, 2011	BibTeX DOI
Markus O. Heller, Stefan Kratzenstein, Rainald Ehrig, Georgi Wassilew, Georg N. Duda, William R. Taylor	The weighted optimal common shape technique improves identification of the hip joint centre of rotation in vivo	Journal of Orthopedic Research, Vol.29, pp. 1470-5, 2011	BibTeX
2010
Stefan Kratzenstein, Rainald Ehrig, Markus O. Heller, Georg N. Duda, William R. Taylor	A Quantification of Accuracy in Estimating Joint Centers	17th Congress of the European Society of Biomechanics, 2010	BibTeX
Stefan Kratzenstein, Markus O. Heller, Rainald Ehrig, Georgi Wassilew, Georg N. Duda, William R. Taylor	A new approach for optimally reducing skin marker artifact allows determination of the hip joint center within 3mm	Transactions Vol. 35, 2010 Annual Meeting of the Orthopedic Society, 2010	BibTeX
Evgenios I. Kornaropoulos, William R. Taylor, Georg N. Duda, Rainald Ehrig, Georg Matziolis, Michael Müller, Georgi Wassilew, Patrick Asbach, Carsten Perka, Markus O. Heller	Frontal plane alignment: An imageless method to predict the mechanical femoral–tibial angle (mFTA) based on functional determination of joint centres and axes	Gait & Posture, 31(2), pp. 204-208, 2010	BibTeX DOI
Stefan Kratzenstein, Markus O. Heller, Rainald Ehrig, Georg N. Duda, William R. Taylor	The Hip Joint Centre can be determined to within 3 mm	17th Congress of the European Society of Biomechanics, 2010	BibTeX
Stefan Kratzenstein, Markus O. Heller, Rainald Ehrig, Georg N. Duda, William R. Taylor	The Residual: A Reliable Measure of Accuracy in the Determination of Joint Centers	Transactions Vol. 35, 2010 Annual Meeting of the Orthopedic Society, 2010	BibTeX
2009
Evgenios I. Kornaropoulos, William R. Taylor, Georg N. Duda, Rainald Ehrig, Markus O. Heller	An imageless method to quantify the Mechanical Femoral-Tibial Angle (MFTA) using functionally defined joint centers and axes.	6th Annual meeting of the German Society for Biomechanics (DGfB), 2009	BibTeX
Evgenios I. Kornaropoulos, William R. Taylor, Georg N. Duda, Rainald Ehrig, Georg Matziolis, Michael Müller, Georgi Wassilew, Patrick Asbach, Carsten Perka, Markus O. Heller	An imageless method to quantify the mechanical femoral-tibial angle based on the functional determination of joint centers and axes	Annual meeting of the ESMAC 2009, 2009	BibTeX
Stefan Kratzenstein, Markus O. Heller, Rainald Ehrig, Georg N. Duda, Jörg H. Schröder, William R. Taylor	Der Vergleich von nicht-invasiven Techniken zur Bestimmung der Hüftgelenksposition	Annual meeting of the German Society of Orthopaedics and Trauma Surgery, 2009	BibTeX
Stefan Kratzenstein, Markus O. Heller, Rainald Ehrig, Georg N. Duda, Jörg H. Schröder, William R. Taylor	Die Bestimmung der Genauigkeit nicht-invasiver Techniken zur Ermittlung der Hüftgelenksposition in-vivo	6th annual meeting of the German Society for Biomechanics (DGfB), 2009	BibTeX
Evgenios I. Kornaropoulos, William R. Taylor, Georg N. Duda, Rainald Ehrig, Markus O. Heller	Frontal plane lower limb alignment using functionally determined joint centers and axes	International Conference on Computational Bioengineering, 2009	BibTeX
William R. Taylor, Stefan Kratzenstein, Evgenios I. Kornaropoulos, Rainald Ehrig, Philippe Moewis, Markus O. Heller	Non-invasive Assessment of Skeletal Kinematics	Measurement and Sensing in Medicine and Health, 2009	BibTeX
Stefan Kratzenstein, William R. Taylor, Rainald Ehrig, Markus O. Heller	Reduction of the influence of skin marker artefacts using the optimal common shape technique	Annual meeting of the ESMAC 2009, 2009	BibTeX
William R. Taylor, Evgenios I. Kornaropoulos, Rainald Ehrig, Markus O. Heller, Georg N. Duda	Reproducibility of a functional approach to gait analysis	Annual meeting of the ESMAC 2009, 2009	BibTeX
2008
G. Bergmann, F. Graichen, A. Rohlmann, A. Bender, Rainald Ehrig, P. Westerhoff, B. Heinlein	Design and calibration of load sensing orthopaedic implants	Journal Biomech. Eng., pp. 02109-1–02109–9, 2008	BibTeX
2007
Rainald Ehrig, William R. Taylor, Georg N. Duda, Markus O. Heller	A Survey for Formal Methods for Determining Functional Joint Axes	Journal of Biomechanics, pp. 2150-2157, 2007	BibTeX
Markus O. Heller, Christian König, F. Graichen, S. Hinterwimmer, Rainald Ehrig, G. Duda, William R. Taylor	A new model to predict in vivo human knee kinematics under physiological-like muscle activation	Journal of Biomechanics, pp. 45-53, 2007	BibTeX
A. Wix, Karlheinz Schaber, O. Ofenloch, Rainald Ehrig, Peter Deuflhard	Simulation of Aerosol Formation in Gas-Liquid Contact Devices	Chem. Eng. Comm., Vol.194, pp. 565-577, 2007	BibTeX
2006
Rainald Ehrig, William R. Taylor, G. Duda, Markus O. Heller	A New Approach for the Determination of Joint Axes	Proceedings of the 52th Annual Meeting of the Orthopedic Society, 2006	BibTeX
Rainald Ehrig, William R. Taylor, G. Duda, Markus O. Heller	A Survey for Formal Methods for Determining the Centre of Ball Joints	Journal of Biomechanics, pp. 2798-2809, 2006	BibTeX
William R. Taylor, Christian König, A. Speirs, Rainald Ehrig, G. Duda, Markus O. Heller	Die medio-laterale Kraftverteilung im Schafsknie	Deutscher Kongress für Orthpädie und Unfallchirurgie, Berlin, 2006	BibTeX
William R. Taylor, Rainald Ehrig, G. Duda, Markus O. Heller	The Symmetrical Axis of Rotation Approach (SARA) for Determination of Joint Axes in Clinical Gait Analysis	1st Joint ESMAC-GCMAS Meeting, Amsterdam, 2006	BibTeX
William R. Taylor, Rainald Ehrig, G. Duda, Markus O. Heller	The determination of joint axes	5. World Congress of Biomechanics, Munich, Journal of Biomechanics, pp. S571-S572, 2006	BibTeX
William R. Taylor, Christian König, A. Speirs, Rainald Ehrig, G. Duda, Markus O. Heller	The medio-lateral force distribution in the sheep knee during walking	5. World Congress of Biomechanics, Munich, Journal of Biomechanics, p. S491, 2006	BibTeX
William R. Taylor, Rainald Ehrig, Markus O. Heller, H. Schell, P. Seebeck, G. Duda	Tibio-femoral Joint Contact Forces in Sheep	Journal of Biomechanics, pp. 791-798, 2006	BibTeX
2005
William R. Taylor, Rainald Ehrig, Markus O. Heller, H. Schell, P. Seebeck, G. Duda	Animal Models for Knee Injury Frequently Underestimate the Mechanical Conditions of the Clinical Situation	Proceedings of the 51th Annual Meeting of the Orthopedic Society, 2005	BibTeX
Markus O. Heller, Georg Duda, Rainald Ehrig, H. Schell, P. Seebeck, William R. Taylor	Muskuloskeletale Belastungen im Schafshinterlauf	Materialwissenschaft und Werkstofftechnik, pp. 775-780, 2005	BibTeX
William R. Taylor, Rainald Ehrig, Markus O. Heller, H. Schell, P. Klein, G. Duda	On the Influence of Soft Tissue Coverage in the Determination of Bone Kinematics using Bone Markers	Journal of Orthopedic Research, pp. 726-734, 2005	BibTeX
William R. Taylor, J.-P. Kassi, J. Schwarzkopf, Rainald Ehrig, H. Schell, G. Duda	The Profile of Mechanical Loading is Independent of Fracture Fixation Principle	Proceedings of the 51th Annual Meeting of the Orthopedic Society, 2005	BibTeX
Markus O. Heller, G. Duda, Christian König, William R. Taylor, Rainald Ehrig, S. Hinterwimmer, H. Graichen	Validation of a New Model of Human Knee Kinematics against in Vivo Data under Physiologic Neuromuscular Activation Patterns	Proceedings of the 51th Annual Meeting of the Orthopedic Society, 2005	BibTeX
2004
Karlheinz Schaber, Oliver Ofenloch, Rainald Ehrig, Peter Deuflhard	Aerosolbildung in Gas/Flüssigkeits-Kontaktapparaten - Modellierungsstrategien und Simulation	Chemie Ingenieur Technik, 76(9), pp. 1358-1359, 2004	BibTeX
William R. Taylor, Rainald Ehrig, Markus O. Heller, H. Schell, G. Duda	Can Skin Markers Determine the Kinematics of Underlying Bones?	Proceedings of the 50th Annual Meeting of the Orthopedic Society, 2004	BibTeX
Martin Schlegel, Wolfgang Marquardt, Rainald Ehrig, Ulrich Nowak	Sensitivity analysis of linearly-implicit differential-algebraic systems by one-step extrapolation	Applied Numerical Mathematics, pp. 83-102, 2004 (preprint available as ZIB-Report 02-38)	PDF (ZIB-Report) BibTeX
J.-P. Kassi, William R. Taylor, J. Schwarzkopf, H. Schell, G. Duda, Rainald Ehrig	Wie sind Osteosynthesesysteme und Defektzonen in vivo belastet?	68. Jahrestagung der Deutschen Gesellschaft für Unfallchirurgie in Verbindung mit dem Deutschen Orthopädenkongress, 2004	BibTeX
2002
Karlheinz Schaber, Jens Koerber, O. Ofenloch, Rainald Ehrig, Peter Deuflhard	Aerosol Formation in Gas-Liquid Contact Devices- Nucleation, Growth and Particle Dynamics	Chem.Eng.Sci., Vol.57, pp. 4345-4356, 2002	BibTeX
Rainald Ehrig, O. Ofenloch, Karlheinz Schaber, Peter Deuflhard	Modelling and Simulation of Aerosol Formation by Heterogeneous Nucleation in Gas-Liquid Contact Devices	Chem.Eng.Sci., 57(7), pp. 1151-1163, 2002 (preprint available as ZIB-Report 01-15)	PDF (ZIB-Report) BibTeX
2000
Rainald Ehrig, Ulrich Nowak	Algorithmen- und Softwareoptimierung für die Satellitenbahn- und Schwerefeldmodellierung	ZIB-Report 00-01	PDF BibTeX URN
1999
Rainald Ehrig, Ulrich Nowak, Lars Oeverdieck, Peter Deuflhard	Advanced Extrapolation Methods for Large Scale Differential Algebraic Problems	High Performance Scientific and Engineering Computing, F. H.-J. Bungartz (Ed.), Springer Verlag, pp. 233-244, 1999	BibTeX
1998
Rainald Ehrig, Ulrich Nowak, Peter Deuflhard	Massively Parallel Simulation in Chemical Engineering by Extrapolation Algorithms	Procs. 16th International Workshop on Distributed Data Processing, Novosibirsk, Russia, V. Khoroshevsky (Ed.), pp. 1-6, 1998	BibTeX
Jens Koerber, Karlheinz Schaber, Rainald Ehrig, Peter Deuflhard	Modelling and simulation of aerosol formation in absorption processes	J. Aerosol Sci, Vol.29, pp. 579-580, 1998	BibTeX
Ulrich Nowak, Rainald Ehrig, Lars Oeverdieck	Parallel Extrapolation Methods and Their Application in Chemical Engineering	High-Performance Computing and Networking, P. Sloot, Marian Bubak, B. Hertzberger (Eds.), pp. 419-428, Vol.1401, Lecture Notes in Computer Science, 1998 (preprint available as ZIB-Report SC-97-69)	PDF (ZIB-Report) BibTeX
1997
Rainald Ehrig, Peter Deuflhard	GMERR - an Error Minimizing Variant of GMRES	ZIB-Report SC-97-63	PDF BibTeX URN
Rainald Ehrig, Ulrich Nowak, Peter Deuflhard	Massively Parallel Linearly-Implicit Extrapolation Algorithms as a Powerful Tool in Process Simulation.	ZIB-Report SC-97-43 (Appeared in: E. H. D'Hollander, G. R. Joubert, F. J. Peters, U. Trottenberg (eds.), Advances in Parallel Computing, Vol. 12: Parallel Computing: Fundamentals, Applications and New Directions, Elsevier, pp.517-524 (1998))	PDF BibTeX URN
1996
Rainald Ehrig, Ulrich Nowak, Peter Deuflhard	Highly scalable parallel linearly-implicit extrapolation algorithms	ZIB-Report TR-96-11	PDF BibTeX URN