TY - GEN A1 - Moualeu-Ngangue, Dany Pascal A1 - Röblitz, Susanna A1 - Ehrig, Rainald A1 - Deuflhard, Peter T1 - Parameter Identification for a Tuberculosis Model in Cameroon N2 - A deterministic model of tuberculosis in sub-Saharan Africa in general and Cameroon in particular including lack of access to the treatment and weak diagnose capacity is designed and analyzed with respect to its transmission dynamics. The model includes both frequency- and density-dependent transmissions. It is shown that the model is mathematically well-posed and epidemiologically reasonable. Solutions are non-negative and bounded whenever the initial values are non-negative. A sensitivity analysis of model parameters is performed and most sensitive parameters of the model are identified using a state-of-the-art Gauss-Newton Method. In particular, parameters representing the proportion of individuals having access to medical facilities have a large impact on the dynamics of the disease. It has been shown that an increase of these parameter values over the time can significantly reduce the disease burden in the population within the next 15 years. T3 - ZIB-Report - 13-72 KW - Tuberculosis, parameter identification, sensitivity analysis, Gauss-Newton method, Nonlinear dynamical systems. Y1 - 2013 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-43087 SN - 1438-0064 ER - TY - GEN A1 - Moualeu-Ngangue, Dany Pascal A1 - Weiser, Martin A1 - Ehrig, Rainald A1 - Deuflhard, Peter T1 - Optimal control for a tuberculosis model with undetected cases in Cameroon N2 - This paper considers the optimal control of tuberculosis through education, diagnosis campaign and chemoprophylaxis of latently infected. A mathematical model which includes important components such as undiagnosed infectious, diagnosed infectious, latently infected and lost-sight infectious is formulated. The model combines a frequency dependent and a density dependent force of infection for TB transmission. Through optimal control theory and numerical simulations, a cost-effective balance of two different intervention methods is obtained. Seeking to minimize the amount of money the government spends when tuberculosis remain endemic in the Cameroonian population, Pontryagin's maximum principle is used to characterize the optimal control. The optimality system is derived and solved numerically using the forward-backward sweep method (FBSM). Results provide a framework for designing cost-effective strategies for diseases with multiple intervention methods. It comes out that combining chemoprophylaxis and education, the burden of TB can be reduced by 80 % in 10 years T3 - ZIB-Report - 13-73 KW - Tuberculosis KW - Optimal control KW - Nonlinear dynamical systems Y1 - 2013 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-43142 SN - 1438-0064 ER - TY - JOUR A1 - Plöntzke, Julia A1 - Berg, Mascha A1 - Ehrig, Rainald A1 - Leonhard-Marek, Sabine A1 - Müller, Kerstin-Elisabeth A1 - Röblitz, Susanna T1 - Model Based Exploration of Hypokalemia in Dairy Cows JF - Scientific Reports N2 - Hypokalemia, characterized by too low serum potassium levels, is a severe mineral disorder which can be life threatening. It is increasingly diagnosed in veterinarian healthcare and a topic of ongoing research. In this paper, we explore the different originating conditions of hypokalemia: reduced potassium intake, increased excretion, acid-base disturbances, or increased insulin, by using a dynamic mathematical model for potassium balance in non-lactating and lactating cows. Simulations are compared with literature. The results give insights into the network dynamics and point to scenarios on which experimental effort should be focused. Application of mathematical models can assist in experimental planning as well as the reduction, refinement and replacement of animal experiments. Y1 - 2022 U6 - https://doi.org/10.1038/s41598-022-22596-0 VL - 12, 19781 ER - TY - CHAP A1 - Mancini, Toni A1 - Mari, Federico A1 - Massini, Annalisa A1 - Melatti, Igor A1 - Salvo, Ivano A1 - Sinisi, Stefano A1 - Tronci, Enrico A1 - Ehrig, Rainald A1 - Röblitz, Susanna A1 - Leeners, Brigitte T1 - Computing Personalised Treatments through In Silico Clinical Trials. A Case Study on Downregulation in Assisted Reproduction T2 - Experimental Evaluation of Algorithms for Solving Problems with Combinatorial Explosion, Workshop of the Federated Logic Conference 2018 (FLoC 2018), Oxford N2 - In Silico Clinical Trials (ISCT), i.e., clinical experimental campaigns carried out by means of computer simulations, hold the promise to decrease time and cost for the safety and efficacy assessment of pharmacological treatments, reduce the need for animal and human testing, and enable precision medicine. In this paper we present a case study aiming at quantifying, by means of a multi-arm ISCT supervised by intelligent search, the potential impact of precision medicine approaches on a real pharmacological treatment, namely the downregulation phase of a complex clinical protocol for assisted reproduction. Y1 - 2018 U6 - https://doi.org/10.29007/g864 SP - 1 EP - 16 ER - TY - JOUR A1 - Moewis, Philippe A1 - Boeth, Heide A1 - Heller, Markus O. A1 - Yntema, Caroline A1 - Jung, Tobias A1 - Doyscher, Ralf A1 - Ehrig, Rainald A1 - Zhong, Yanlin A1 - Taylor, William R. T1 - Towards understanding knee joint laxity: Errors in non-invasive assessment of joint rotation can be corrected JF - Medical Engineering and Physics Y1 - 2014 U6 - https://doi.org/doi.org/10.1016/j.medengphy.2014.03.017 VL - 36 IS - 7 SP - 889 EP - 895 ER - TY - JOUR A1 - Heller, Markus O. A1 - Duda, Georg A1 - Ehrig, Rainald A1 - Schell, H. A1 - Seebeck, P. A1 - Taylor, William R. T1 - Muskuloskeletale Belastungen im Schafshinterlauf JF - Materialwissenschaft und Werkstofftechnik Y1 - 2005 IS - 36 SP - 775 EP - 780 ER - TY - CHAP A1 - Heller, Markus O. A1 - Duda, G. A1 - König, Christian A1 - Taylor, William R. A1 - Ehrig, Rainald A1 - Hinterwimmer, S. A1 - Graichen, H. T1 - Validation of a New Model of Human Knee Kinematics against in Vivo Data under Physiologic Neuromuscular Activation Patterns T2 - Proceedings of the 51th Annual Meeting of the Orthopedic Society Y1 - 2005 CY - Washington ER - TY - JOUR A1 - Heller, Markus O. A1 - Kratzenstein, Stefan A1 - Ehrig, Rainald A1 - Wassilew, Georgi A1 - Duda, Georg A1 - Taylor, William R. T1 - The weighted optimal common shape technique improves identification of the hip joint centre of rotation in vivo JF - Journal of Orthopedic Research Y1 - 2011 VL - 29 SP - 1470 EP - 5 ER - TY - JOUR A1 - Heller, Markus O. A1 - König, Christian A1 - Graichen, F. A1 - Hinterwimmer, S. A1 - Ehrig, Rainald A1 - Duda, G. A1 - Taylor, William R. T1 - A new model to predict in vivo human knee kinematics under physiological-like muscle activation JF - Journal of Biomechanics Y1 - 2007 SP - 45 EP - 53 ER - TY - JOUR A1 - Ehrig, Rainald A1 - Heller, Markus O. A1 - Kratzenstein, Stefan A1 - Duda, Georg A1 - Trepczynski, Adam A1 - Taylor, William R. T1 - The SCoRE residual: A quality index to assess the accuracy of joint estimations JF - Journal of Biomechanics Y1 - 2011 U6 - https://doi.org/10.1016/j.jbiomech.2010.12.009 VL - 44 IS - 7 SP - 1400 EP - 1404 ER - TY - CHAP A1 - Ehrig, Rainald A1 - Nowak, Ulrich A1 - Oeverdieck, Lars A1 - Deuflhard, Peter ED - H.-J. Bungartz, F. T1 - Advanced Extrapolation Methods for Large Scale Differential Algebraic Problems T2 - High Performance Scientific and Engineering Computing Y1 - 1999 VL - 8 SP - 233 EP - 244 PB - Springer Verlag ER - TY - JOUR A1 - Ehrig, Rainald A1 - Ofenloch, O. A1 - Schaber, Karlheinz A1 - Deuflhard, Peter T1 - Modelling and Simulation of Aerosol Formation by Heterogeneous Nucleation in Gas-Liquid Contact Devices JF - Chem.Eng.Sci. Y1 - 2002 VL - 57 IS - 7 SP - 1151 EP - 1163 ER - TY - JOUR A1 - Ehrig, Rainald A1 - Taylor, William R. A1 - Duda, G. A1 - Heller, Markus O. T1 - A Survey for Formal Methods for Determining the Centre of Ball Joints JF - Journal of Biomechanics Y1 - 2006 IS - 39 SP - 2798 EP - 2809 ER - TY - CHAP A1 - Ehrig, Rainald A1 - Taylor, William R. A1 - Duda, G. A1 - Heller, Markus O. T1 - A New Approach for the Determination of Joint Axes T2 - Proceedings of the 52th Annual Meeting of the Orthopedic Society Y1 - 2006 CY - Chicago ER - TY - JOUR A1 - Ehrig, Rainald A1 - Taylor, William R. A1 - Duda, Georg A1 - Heller, Markus O. T1 - A Survey for Formal Methods for Determining Functional Joint Axes JF - Journal of Biomechanics Y1 - 2007 SP - 2150 EP - 2157 ER - TY - CHAP A1 - Ehrig, Rainald A1 - Nowak, Ulrich A1 - Deuflhard, Peter ED - Khoroshevsky, V. T1 - Massively Parallel Simulation in Chemical Engineering by Extrapolation Algorithms T2 - Procs. 16th International Workshop on Distributed Data Processing, Novosibirsk, Russia Y1 - 1998 SP - 1 EP - 6 ER - TY - CHAP A1 - Kornaropoulos, Evgenios I. A1 - Taylor, William R. A1 - Duda, Georg A1 - Ehrig, Rainald A1 - Matziolis, Georg A1 - Müller, Michael A1 - Wassilew, Georgi A1 - Asbach, Patrick A1 - Perka, Carsten A1 - Heller, Markus O. T1 - An imageless method to quantify the mechanical femoral-tibial angle based on the functional determination of joint centers and axes T2 - Annual meeting of the ESMAC 2009 Y1 - 2009 CY - London ER - TY - JOUR A1 - Kornaropoulos, Evgenios I. A1 - Taylor, William R. A1 - Duda, Georg A1 - Ehrig, Rainald A1 - Matziolis, Georg A1 - Müller, Michael A1 - Wassilew, Georgi A1 - Asbach, Patrick A1 - Perka, Carsten A1 - Heller, Markus O. T1 - Frontal plane alignment: An imageless method to predict the mechanical femoral–tibial angle (mFTA) based on functional determination of joint centres and axes JF - Gait & Posture Y1 - 2010 U6 - https://doi.org/10.1016/j.gaitpost.2009.10.006 VL - 31 IS - 2 SP - 204 EP - 208 ER - TY - CHAP A1 - Kratzenstein, Stefan A1 - Taylor, William R. A1 - Ehrig, Rainald A1 - Heller, Markus O. T1 - Reduction of the influence of skin marker artefacts using the optimal common shape technique T2 - Annual meeting of the ESMAC 2009 Y1 - 2009 CY - London ER - TY - CHAP A1 - Kassi, J.-P. A1 - Taylor, William R. A1 - Schwarzkopf, J. A1 - Schell, H. A1 - Duda, G. A1 - Ehrig, Rainald T1 - Wie sind Osteosynthesesysteme und Defektzonen in vivo belastet? T2 - 68. Jahrestagung der Deutschen Gesellschaft für Unfallchirurgie in Verbindung mit dem Deutschen Orthopädenkongress Y1 - 2004 CY - Berlin ER - TY - CHAP A1 - Kratzenstein, Stefan A1 - Ehrig, Rainald A1 - Heller, Markus O. A1 - Duda, Georg A1 - Taylor, William R. T1 - A Quantification of Accuracy in Estimating Joint Centers T2 - 17th Congress of the European Society of Biomechanics Y1 - 2010 CY - Edinburgh ER - TY - CHAP A1 - Nowak, Ulrich A1 - Ehrig, Rainald A1 - Oeverdieck, Lars ED - Sloot, P. ED - Bubak, Marian ED - Hertzberger, B. T1 - Parallel Extrapolation Methods and Their Application in Chemical Engineering T2 - High-Performance Computing and Networking Y1 - 1998 VL - 1401 SP - 419 EP - 428 PB - Springer ER - TY - JOUR A1 - Koerber, Jens A1 - Schaber, Karlheinz A1 - Ehrig, Rainald A1 - Deuflhard, Peter T1 - Modelling and simulation of aerosol formation in absorption processes JF - J. Aerosol Sci Y1 - 1998 VL - 29 SP - 579 EP - 580 ER - TY - CHAP A1 - Kratzenstein, Stefan A1 - Heller, Markus O. A1 - Ehrig, Rainald A1 - Duda, Georg A1 - Schröder, Jörg H. A1 - Taylor, William R. T1 - Die Bestimmung der Genauigkeit nicht-invasiver Techniken zur Ermittlung der Hüftgelenksposition in-vivo T2 - 6th annual meeting of the German Society for Biomechanics (DGfB) Y1 - 2009 CY - Münster ER - TY - CHAP A1 - Kratzenstein, Stefan A1 - Heller, Markus O. A1 - Ehrig, Rainald A1 - Duda, Georg A1 - Schröder, Jörg H. A1 - Taylor, William R. T1 - Der Vergleich von nicht-invasiven Techniken zur Bestimmung der Hüftgelenksposition T2 - Annual meeting of the German Society of Orthopaedics and Trauma Surgery Y1 - 2009 CY - Berlin ER - TY - CHAP A1 - Kratzenstein, Stefan A1 - Heller, Markus O. A1 - Ehrig, Rainald A1 - Duda, Georg A1 - Taylor, William R. T1 - The Residual: A Reliable Measure of Accuracy in the Determination of Joint Centers T2 - Transactions Vol. 35, 2010 Annual Meeting of the Orthopedic Society Y1 - 2010 CY - New Orleans ER - TY - CHAP A1 - Kratzenstein, Stefan A1 - Heller, Markus O. A1 - Ehrig, Rainald A1 - Duda, Georg A1 - Taylor, William R. T1 - The Hip Joint Centre can be determined to within 3 mm T2 - 17th Congress of the European Society of Biomechanics Y1 - 2010 CY - Edinburgh ER - TY - CHAP A1 - Kratzenstein, Stefan A1 - Heller, Markus O. A1 - Ehrig, Rainald A1 - Wassilew, Georgi A1 - Duda, Georg A1 - Taylor, William R. T1 - A new approach for optimally reducing skin marker artifact allows determination of the hip joint center within 3mm T2 - Transactions Vol. 35, 2010 Annual Meeting of the Orthopedic Society Y1 - 2010 CY - New Orleans ER - TY - JOUR A1 - Schlegel, Martin A1 - Marquardt, Wolfgang A1 - Ehrig, Rainald A1 - Nowak, Ulrich T1 - Sensitivity analysis of linearly-implicit differential-algebraic systems by one-step extrapolation JF - Applied Numerical Mathematics Y1 - 2004 IS - 48 SP - 83 EP - 102 ER - TY - CHAP A1 - Taylor, William R. A1 - Ehrig, Rainald A1 - Duda, G. A1 - Heller, Markus O. T1 - The determination of joint axes T2 - 5. World Congress of Biomechanics, Munich, Journal of Biomechanics Y1 - 2006 IS - 39, Suppl. 1 SP - S571 EP - S572 ER - TY - JOUR A1 - Schaber, Karlheinz A1 - Koerber, Jens A1 - Ofenloch, O. A1 - Ehrig, Rainald A1 - Deuflhard, Peter T1 - Aerosol Formation in Gas-Liquid Contact Devices- Nucleation, Growth and Particle Dynamics JF - Chem.Eng.Sci. Y1 - 2002 VL - 57 SP - 4345 EP - 4356 ER - TY - JOUR A1 - Schaber, Karlheinz A1 - Ofenloch, Oliver A1 - Ehrig, Rainald A1 - Deuflhard, Peter T1 - Aerosolbildung in Gas/Flüssigkeits-Kontaktapparaten - Modellierungsstrategien und Simulation JF - Chemie Ingenieur Technik Y1 - 2004 VL - 76 IS - 9 SP - 1358 EP - 1359 ER - TY - JOUR A1 - Wix, A. A1 - Schaber, Karlheinz A1 - Ofenloch, O. A1 - Ehrig, Rainald A1 - Deuflhard, Peter T1 - Simulation of Aerosol Formation in Gas-Liquid Contact Devices JF - Chem. Eng. Comm. Y1 - 2007 VL - 194 SP - 565 EP - 577 ER - TY - CHAP A1 - Taylor, William R. A1 - Kassi, J.-P. A1 - Schwarzkopf, J. A1 - Ehrig, Rainald A1 - Schell, H. A1 - Duda, G. T1 - The Profile of Mechanical Loading is Independent of Fracture Fixation Principle T2 - Proceedings of the 51th Annual Meeting of the Orthopedic Society Y1 - 2005 CY - Washington ER - TY - JOUR A1 - Taylor, William R. A1 - Pöpplau, Berry M. A1 - König, Christian A1 - Ehrig, Rainald A1 - Zachow, Stefan A1 - Duda, Georg A1 - Heller, Markus O. T1 - The medial-lateral force distribution in the ovine stifle joint during walking JF - Journal of Orthopaedic Research Y1 - 2011 U6 - https://doi.org/10.1002/jor.21254 VL - 29 IS - 4 SP - 567 EP - 571 ER - TY - JOUR A1 - Boeth, Heide A1 - Duda, Georg A1 - Heller, Markus O. A1 - Ehrig, Rainald A1 - Doyscher, Ralf A1 - Jung, Tobias A1 - Moewis, Philippe A1 - Scheffler, Sven A1 - Taylor, William R. T1 - Anterior cruciate ligament-deficient patients with passive knee joint laxity have a decreased range of anterior-posterior motion during active movements JF - The American Journal of Sports Medicine Y1 - 2013 U6 - https://doi.org/10.1177/0363546513480465 VL - 41 IS - 5 SP - 1051 EP - 7 ER - TY - CHAP A1 - Taylor, William R. A1 - Ehrig, Rainald A1 - Duda, G. A1 - Heller, Markus O. T1 - The Symmetrical Axis of Rotation Approach (SARA) for Determination of Joint Axes in Clinical Gait Analysis T2 - 1st Joint ESMAC-GCMAS Meeting, Amsterdam Y1 - 2006 ER - TY - CHAP A1 - Taylor, William R. A1 - Ehrig, Rainald A1 - Heller, Markus O. A1 - Schell, H. A1 - Duda, G. T1 - Can Skin Markers Determine the Kinematics of Underlying Bones? T2 - Proceedings of the 50th Annual Meeting of the Orthopedic Society Y1 - 2004 CY - San Francisco ER - TY - JOUR A1 - Taylor, William R. A1 - Ehrig, Rainald A1 - Heller, Markus O. A1 - Schell, H. A1 - Klein, P. A1 - Duda, G. T1 - On the Influence of Soft Tissue Coverage in the Determination of Bone Kinematics using Bone Markers JF - Journal of Orthopedic Research Y1 - 2005 IS - 23 SP - 726 EP - 734 ER - TY - CHAP A1 - Taylor, William R. A1 - Ehrig, Rainald A1 - Heller, Markus O. A1 - Schell, H. A1 - Seebeck, P. A1 - Duda, G. T1 - Animal Models for Knee Injury Frequently Underestimate the Mechanical Conditions of the Clinical Situation T2 - Proceedings of the 51th Annual Meeting of the Orthopedic Society Y1 - 2005 CY - Washington ER - TY - JOUR A1 - Taylor, William R. A1 - Ehrig, Rainald A1 - Heller, Markus O. A1 - Schell, H. A1 - Seebeck, P. A1 - Duda, G. T1 - Tibio-femoral Joint Contact Forces in Sheep JF - Journal of Biomechanics Y1 - 2006 IS - 39 SP - 791 EP - 798 ER - TY - CHAP A1 - Taylor, William R. A1 - Kornaropoulos, Evgenios I. A1 - Ehrig, Rainald A1 - Heller, Markus O. A1 - Duda, Georg T1 - Reproducibility of a functional approach to gait analysis T2 - Annual meeting of the ESMAC 2009 Y1 - 2009 CY - London ER - TY - CHAP A1 - Taylor, William R. A1 - Kratzenstein, Stefan A1 - Kornaropoulos, Evgenios I. A1 - Ehrig, Rainald A1 - Moewis, Philippe A1 - Heller, Markus O. T1 - Non-invasive Assessment of Skeletal Kinematics T2 - Measurement and Sensing in Medicine and Health Y1 - 2009 CY - London ER - TY - CHAP A1 - Taylor, William R. A1 - Kornaropoulos, Evgenios I. A1 - Kratzenstein, Stefan A1 - Ehrig, Rainald A1 - Plank, F. A1 - Heller, Markus O. T1 - Targeted Marker Placement for the Functional Identification of the Hip Joint Centre T2 - Transactions Vol. 36, 2011 Annual Meeting of the Orthopedic Society Y1 - 2011 CY - Long Beach ER - TY - CHAP A1 - Taylor, William R. A1 - König, Christian A1 - Speirs, A. A1 - Ehrig, Rainald A1 - Duda, G. A1 - Heller, Markus O. T1 - The medio-lateral force distribution in the sheep knee during walking T2 - 5. World Congress of Biomechanics, Munich, Journal of Biomechanics Y1 - 2006 IS - 39, Suppl. 1 SP - S491 ER - TY - CHAP A1 - Taylor, William R. A1 - König, Christian A1 - Speirs, A. A1 - Ehrig, Rainald A1 - Duda, G. A1 - Heller, Markus O. T1 - Die medio-laterale Kraftverteilung im Schafsknie T2 - Deutscher Kongress für Orthpädie und Unfallchirurgie, Berlin Y1 - 2006 ER - TY - JOUR A1 - Kratzenstein, Stefan A1 - Kornaropoulos, Evgenios I. A1 - Ehrig, Rainald A1 - Heller, Markus O. A1 - Pöpplau, Berry M. A1 - Taylor, William R. T1 - Effective marker placement for functional identification of the centre of rotation at the hip JF - Gait & Posture Y1 - 2012 U6 - https://doi.org/http://dx.doi.org/10.1016/j.gaitpost.2012.04.011 VL - 36 IS - 3 SP - 482 EP - 486 ER - TY - CHAP A1 - Taylor, William R. A1 - Fröhlich, Annika A1 - Buttgereit, Frank A1 - Ehrig, Rainald A1 - Witaschek, Tom A1 - Duda, Georg ED - Kersting, Uwe ED - Morlock, Michael ED - Jirova-Enzmann, Daniela ED - Dremstrup, Kim T1 - Metacarpophalangeal joint stiffness is reduced in patients affected by rheumatoid arthritis after glucocorticoid medication T2 - Proceedings of the ESM-2012, Aalborg Y1 - 2012 SP - 39 PB - Department of Health Science and Technology, Aalborg University ER - TY - CHAP A1 - Kornaropoulos, Evgenios I. A1 - Taylor, William R. A1 - Duda, Georg A1 - Ehrig, Rainald A1 - Heller, Markus O. T1 - Frontal plane lower limb alignment using functionally determined joint centers and axes T2 - International Conference on Computational Bioengineering Y1 - 2009 ER - TY - CHAP A1 - Kornaropoulos, Evgenios I. A1 - Taylor, William R. A1 - Duda, Georg A1 - Ehrig, Rainald A1 - Heller, Markus O. T1 - An imageless method to quantify the Mechanical Femoral-Tibial Angle (MFTA) using functionally defined joint centers and axes. T2 - 6th Annual meeting of the German Society for Biomechanics (DGfB) Y1 - 2009 ER -