One of the main goals of mathematical modeling related to medical applications is to obtain patient-specific parametrizations and model predictions. In clinical practice...
The purpose of the project is the development of an in vitro and in silico model for arthritis research in order to reduce the use of laboratory animals for in vivo...
For understanding the gait of quadruped animals, the measurement of ground contact positions and forces is of utmost importance. We are investigating novel designs for...
Changes in limb or joint anatomy (e.g., due to injury or surgery) may lead to functional impairment. Accurate measurement of skeletal kinematics provides the key to...
This project deals with spaces of manifold-valued curves and associated shape spaces, and is based on Riemannian tools for elastic shape analysis. We plan to study...
Computation of Treatments for Infertility Related Endocrinological Diseases
Infertility affects 12% to 15% of reproductive age couples in Europe, costs approximately 1 billion Euros per year, and experts agree that these figures will double in a...
Mathematical Modelling of Tuberculosis in Cameroon
Tuberculosis (TB) is a preventable and curable disease caused by Mycobacterium tuberculosis (Mtb) that most often affects the lungs. Mtb’s infection can remain latent...
Altered knee kinematics after posterior cruciate single-bundle reconstruction - a comprehensive prospective biomechanical in vivo analysis
Frontiers in Bioengineering and Biotechnology, Vol.12, 2024
Stephan Oehme, Philippe Moewis, Heide Boeth, Benjamin Bartek, Christoph von Tycowicz, Rainald Ehrig, Georg Duda, Tobias Jung
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PCL insufficient patients with increased translational and rotational passive knee joint laxity have no increased range of anterior–posterior and rotational tibiofemoral motion during level walking
Scientific Reports, 12(1), pp. 1-11, 2022
Stephan Oehme, Philippe Moewis, Heide Boeth, Benjamin Bartek, Annika Lippert, Christoph von Tycowicz, Rainald Ehrig, Georg Duda, Tobias Jung
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Mathematical Modelling and Simulation Provides Evidence for New Strategies of Ovarian Stimulation
Frontiers in Endocrinology, Vol.12, 2021
Sophie Fischer, Rainald Ehrig, Stefan Schäfer, Enrico Tronci, Toni Mancini, Marcel Egli, Fabian Ille, Tillmann H. C. Krüger, Brigitte Leeners, Susanna Röblitz
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Quantification of morning stiffness to assess disease activity and treatment effects in rheumatoid arthritis
Rheumatology, 60(11), pp. 5282-5291, 2021
Heide Boeth, Robert Biesen, Jeremias Hollnagel, Sandra Herrmann, Rainald Ehrig, Lorenzo Pelli, William R. Taylor, Georg Duda, Frank Buttgereit
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Macroscale mesenchymal condensation to study cytokine-driven cellular and matrix-related changes during cartilage degradation
Biofabrication, 12(4), 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
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Quantifying Asymmetry in Gait: A Weighted Universal Symmetry Index to Evaluate 3D Ground Reaction Forces
Frontiers in Bioengineering and Biotechnology, 2020
Sónia Alves, Rainald Ehrig, Peter C. Raffalt, Alwina Bender, Georg Duda, Alison N. Agres
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Combining in vitro simulation and in silico modelling towards a sophisticated human osteoarthritis model
Osteoarthritis and Cartilage, Vol.27, p. S183, 2019
Annemarie Lang, Lisa Fischer, Marie-Christin Weber, Timo Gaber, Rainald Ehrig, Susanna Röblitz, Frank Buttgereit
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In vitro and in silico modeling of cellular and matrix-related changes during the early phase of osteoarthritis
BioRxiv, 2019
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
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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
Rainald Ehrig, Markus O. Heller
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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
Toni Mancini, Federico Mari, Annalisa Massini, Igor Melatti, Ivano Salvo, Stefano Sinisi, Enrico Tronci, Rainald Ehrig, Susanna Röblitz, Brigitte Leeners
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In silico Methods - Computational Alternatives to Animal Testing
ALTEX, 35(1), pp. 126-128, 2018
Annemarie Lang, Andrea Volkamer, Laura Behm, Susanna Röblitz, Rainald Ehrig, Marlon Schneider, Lisbet Geris, Joerg Wichard, Frank Buttgereit
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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
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
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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)
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
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A Novel Approach to Quantify Morning Stiffness in Patients with Rheumatoid Arthritis
Annual European Congress of Rheumatology, EULAR 2015, Rome, 2015
Heide Boeth, Georg Duda, Daniel Hinzmann, Sandra Hermann, William R. Taylor, Rainald Ehrig, Tom Witaschek, Frank Buttgereit
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Interpretation of tibio-femoral kinematics critically depends upon the kinematic analysis approach
ISB 2015, 25th congress of the International Society of Biomechanics, Glasgow, 2015
Maryam Hajizadeh, Pascal Schütz, Renate List, Heide Boeth, Rainald Ehrig, Barbara Postolka, Michael A. R. Freeman, William R. Taylor
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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
Martin Krämer, Karl-Heinz Herrmann, Heide Boeth, Christoph von Tycowicz, Christian König, Stefan Zachow, Rainald Ehrig, Hans-Christian Hege, Georg Duda, Jürgen Reichenbach
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Objektive Quantifizierung der Morgensteifigkeit als Parameter für rheumatoide Arthritis im Metacarpophalangealgelenk
9. Jahrestagung der Deutschen Gesellschaft für Biomechanik (DGfB), Bonn, 2015
Heide Boeth, Georg Duda, Daniel Hinzmann, William R. Taylor, Rainald Ehrig, Tom Witaschek, Frank Buttgereit
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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)
Claudia Stötzel, Rainald Ehrig, H. Marike T. Boer, Julia Plöntzke, Susanna RöblitzPDF (ZIB-Report) BibTeX
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
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
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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
Philippe Moewis, Heide Boeth, Markus O. Heller, Caroline Yntema, Tobias Jung, Ralf Doyscher, Rainald Ehrig, Yanlin Zhong, William R. Taylor
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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
Heide Boeth, Georg Duda, Markus O. Heller, Rainald Ehrig, Ralf Doyscher, Tobias Jung, Philippe Moewis, Sven Scheffler, William R. Taylor
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Effective marker placement for functional identification of the centre of rotation at the hip
Gait & Posture, 36(3), pp. 482-486, 2012
Stefan Kratzenstein, Evgenios I. Kornaropoulos, Rainald Ehrig, Markus O. Heller, Berry M. Pöpplau, William R. Taylor
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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
William R. Taylor, Annika Fröhlich, Frank Buttgereit, Rainald Ehrig, Tom Witaschek, Georg Duda
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Targeted Marker Placement for the Functional Identification of the Hip Joint Centre
Transactions Vol. 36, 2011 Annual Meeting of the Orthopedic Society, 2011
William R. Taylor, Evgenios I. Kornaropoulos, Stefan Kratzenstein, Rainald Ehrig, F. Plank, Markus O. Heller
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The SCoRE residual: A quality index to assess the accuracy of joint estimations
Journal of Biomechanics, 44(7), pp. 1400-1404, 2011
Rainald Ehrig, Markus O. Heller, Stefan Kratzenstein, Georg Duda, Adam Trepczynski, William R. Taylor
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The medial-lateral force distribution in the ovine stifle joint during walking
Journal of Orthopaedic Research, 29(4), pp. 567-571, 2011
William R. Taylor, Berry M. Pöpplau, Christian König, Rainald Ehrig, Stefan Zachow, Georg Duda, Markus O. Heller
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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
Markus O. Heller, Stefan Kratzenstein, Rainald Ehrig, Georgi Wassilew, Georg Duda, William R. Taylor
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A Quantification of Accuracy in Estimating Joint Centers
17th Congress of the European Society of Biomechanics, 2010
Stefan Kratzenstein, Rainald Ehrig, Markus O. Heller, Georg Duda, William R. Taylor
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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
Stefan Kratzenstein, Markus O. Heller, Rainald Ehrig, Georgi Wassilew, Georg Duda, William R. Taylor
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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
Evgenios I. Kornaropoulos, William R. Taylor, Georg Duda, Rainald Ehrig, Georg Matziolis, Michael Müller, Georgi Wassilew, Patrick Asbach, Carsten Perka, Markus O. Heller
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The Hip Joint Centre can be determined to within 3 mm
17th Congress of the European Society of Biomechanics, 2010
Stefan Kratzenstein, Markus O. Heller, Rainald Ehrig, Georg Duda, William R. Taylor
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The Residual: A Reliable Measure of Accuracy in the Determination of Joint Centers
Transactions Vol. 35, 2010 Annual Meeting of the Orthopedic Society, 2010
Stefan Kratzenstein, Markus O. Heller, Rainald Ehrig, Georg Duda, William R. Taylor
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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
Evgenios I. Kornaropoulos, William R. Taylor, Georg Duda, Rainald Ehrig, Markus O. Heller
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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
Evgenios I. Kornaropoulos, William R. Taylor, Georg Duda, Rainald Ehrig, Georg Matziolis, Michael Müller, Georgi Wassilew, Patrick Asbach, Carsten Perka, Markus O. Heller
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Der Vergleich von nicht-invasiven Techniken zur Bestimmung der Hüftgelenksposition
Annual meeting of the German Society of Orthopaedics and Trauma Surgery, 2009
Stefan Kratzenstein, Markus O. Heller, Rainald Ehrig, Georg Duda, Jörg H. Schröder, William R. Taylor
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Die Bestimmung der Genauigkeit nicht-invasiver Techniken zur Ermittlung der Hüftgelenksposition in-vivo
6th annual meeting of the German Society for Biomechanics (DGfB), 2009
Stefan Kratzenstein, Markus O. Heller, Rainald Ehrig, Georg Duda, Jörg H. Schröder, William R. Taylor
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Frontal plane lower limb alignment using functionally determined joint centers and axes
International Conference on Computational Bioengineering, 2009
Evgenios I. Kornaropoulos, William R. Taylor, Georg Duda, Rainald Ehrig, Markus O. Heller
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Non-invasive Assessment of Skeletal Kinematics
Measurement and Sensing in Medicine and Health, 2009
William R. Taylor, Stefan Kratzenstein, Evgenios I. Kornaropoulos, Rainald Ehrig, Philippe Moewis, Markus O. Heller
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Reduction of the influence of skin marker artefacts using the optimal common shape technique
Annual meeting of the ESMAC 2009, 2009
Stefan Kratzenstein, William R. Taylor, Rainald Ehrig, Markus O. Heller
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Reproducibility of a functional approach to gait analysis
Annual meeting of the ESMAC 2009, 2009
William R. Taylor, Evgenios I. Kornaropoulos, Rainald Ehrig, Markus O. Heller, Georg Duda
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Design and calibration of load sensing orthopaedic implants
Journal Biomech. Eng., pp. 02109-1–02109–9, 2008
G. Bergmann, F. Graichen, A. Rohlmann, Alwina Bender, Rainald Ehrig, P. Westerhoff, B. Heinlein
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A Survey for Formal Methods for Determining Functional Joint Axes
Journal of Biomechanics, pp. 2150-2157, 2007
Rainald Ehrig, William R. Taylor, Georg Duda, Markus O. Heller
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A new model to predict in vivo human knee kinematics under physiological-like muscle activation
Journal of Biomechanics, pp. 45-53, 2007
Markus O. Heller, Christian König, F. Graichen, S. Hinterwimmer, Rainald Ehrig, G. Duda, William R. Taylor
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Simulation of Aerosol Formation in Gas-Liquid Contact Devices
Chem. Eng. Comm., Vol.194, pp. 565-577, 2007
A. Wix, Karlheinz Schaber, O. Ofenloch, Rainald Ehrig, Peter DeuflhardBibTeX
A New Approach for the Determination of Joint Axes
Proceedings of the 52th Annual Meeting of the Orthopedic Society, 2006
Rainald Ehrig, William R. Taylor, G. Duda, Markus O. Heller
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A Survey for Formal Methods for Determining the Centre of Ball Joints
Journal of Biomechanics, pp. 2798-2809, 2006
Rainald Ehrig, William R. Taylor, G. Duda, Markus O. Heller
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Die medio-laterale Kraftverteilung im Schafsknie
Deutscher Kongress für Orthpädie und Unfallchirurgie, Berlin, 2006
William R. Taylor, Christian König, A. Speirs, Rainald Ehrig, G. Duda, Markus O. Heller
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The Symmetrical Axis of Rotation Approach (SARA) for Determination of Joint Axes in Clinical Gait Analysis
1st Joint ESMAC-GCMAS Meeting, Amsterdam, 2006
William R. Taylor, Rainald Ehrig, G. Duda, Markus O. Heller
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The determination of joint axes
5. World Congress of Biomechanics, Munich, Journal of Biomechanics, pp. S571-S572, 2006
William R. Taylor, Rainald Ehrig, G. Duda, Markus O. Heller
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The medio-lateral force distribution in the sheep knee during walking
5. World Congress of Biomechanics, Munich, Journal of Biomechanics, p. S491, 2006
William R. Taylor, Christian König, A. Speirs, Rainald Ehrig, G. Duda, Markus O. Heller
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Tibio-femoral Joint Contact Forces in Sheep
Journal of Biomechanics, pp. 791-798, 2006
William R. Taylor, Rainald Ehrig, Markus O. Heller, H. Schell, P. Seebeck, G. Duda
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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
William R. Taylor, Rainald Ehrig, Markus O. Heller, H. Schell, P. Seebeck, G. Duda
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Muskuloskeletale Belastungen im Schafshinterlauf
Materialwissenschaft und Werkstofftechnik, pp. 775-780, 2005
Markus O. Heller, Georg Duda, Rainald Ehrig, H. Schell, P. Seebeck, William R. Taylor
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On the Influence of Soft Tissue Coverage in the Determination of Bone Kinematics using Bone Markers
Journal of Orthopedic Research, pp. 726-734, 2005
William R. Taylor, Rainald Ehrig, Markus O. Heller, H. Schell, P. Klein, G. Duda
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The Profile of Mechanical Loading is Independent of Fracture Fixation Principle
Proceedings of the 51th Annual Meeting of the Orthopedic Society, 2005
William R. Taylor, J.-P. Kassi, J. Schwarzkopf, Rainald Ehrig, H. Schell, G. Duda
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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
Markus O. Heller, G. Duda, Christian König, William R. Taylor, Rainald Ehrig, S. Hinterwimmer, H. Graichen
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Aerosolbildung in Gas/Flüssigkeits-Kontaktapparaten - Modellierungsstrategien und Simulation
Chemie Ingenieur Technik, 76(9), pp. 1358-1359, 2004
Karlheinz Schaber, Oliver Ofenloch, Rainald Ehrig, Peter DeuflhardBibTeX
Can Skin Markers Determine the Kinematics of Underlying Bones?
Proceedings of the 50th Annual Meeting of the Orthopedic Society, 2004
William R. Taylor, Rainald Ehrig, Markus O. Heller, H. Schell, G. Duda
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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)
Martin Schlegel, Wolfgang Marquardt, Rainald Ehrig, Ulrich Nowak
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Wie sind Osteosynthesesysteme und Defektzonen in vivo belastet?
68. Jahrestagung der Deutschen Gesellschaft für Unfallchirurgie in Verbindung mit dem Deutschen Orthopädenkongress, 2004
J.-P. Kassi, William R. Taylor, J. Schwarzkopf, H. Schell, G. Duda, Rainald EhrigBibTeX
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)
Rainald Ehrig, O. Ofenloch, Karlheinz Schaber, Peter DeuflhardPDF (ZIB-Report) BibTeX
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
Rainald Ehrig, Ulrich Nowak, Lars Oeverdieck, Peter DeuflhardBibTeX
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
Rainald Ehrig, Ulrich Nowak, Peter DeuflhardBibTeX
Modelling and simulation of aerosol formation in absorption processes
J. Aerosol Sci, Vol.29, pp. 579-580, 1998
Jens Koerber, Karlheinz Schaber, Rainald Ehrig, Peter DeuflhardBibTeX
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)
Ulrich Nowak, Rainald Ehrig, Lars Oeverdieck
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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))
Rainald Ehrig, Ulrich Nowak, Peter DeuflhardPDF BibTeX URN