@misc{MoualeuNgangueWeiserEhrigetal.2013, author = {Moualeu-Ngangue, Dany Pascal and Weiser, Martin and Ehrig, Rainald and Deuflhard, Peter}, title = {Optimal control for a tuberculosis model with undetected cases in Cameroon}, issn = {1438-0064}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-43142}, year = {2013}, abstract = {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}, language = {en} } @article{HellerDudaEhrigetal.2005, author = {Heller, Markus O. and Duda, Georg and Ehrig, Rainald and Schell, H. and Seebeck, P. and Taylor, William R.}, title = {Muskuloskeletale Belastungen im Schafshinterlauf}, journal = {Materialwissenschaft und Werkstofftechnik}, number = {36}, pages = {775 -- 780}, year = {2005}, language = {en} } @inproceedings{HellerDudaKoenigetal.2005, author = {Heller, Markus O. and Duda, G. and K{\"o}nig, Christian and Taylor, William R. and Ehrig, Rainald and Hinterwimmer, S. and Graichen, H.}, title = {Validation of a New Model of Human Knee Kinematics against in Vivo Data under Physiologic Neuromuscular Activation Patterns}, booktitle = {Proceedings of the 51th Annual Meeting of the Orthopedic Society}, address = {Washington}, year = {2005}, language = {en} } @article{HellerKratzensteinEhrigetal.2011, author = {Heller, Markus O. and Kratzenstein, Stefan and Ehrig, Rainald and Wassilew, Georgi and Duda, Georg and Taylor, William R.}, title = {The weighted optimal common shape technique improves identification of the hip joint centre of rotation in vivo}, volume = {29}, journal = {Journal of Orthopedic Research}, pages = {1470 -- 5}, year = {2011}, language = {en} } @article{HellerKoenigGraichenetal.2007, author = {Heller, Markus O. and K{\"o}nig, Christian and Graichen, F. and Hinterwimmer, S. and Ehrig, Rainald and Duda, G. and Taylor, William R.}, title = {A new model to predict in vivo human knee kinematics under physiological-like muscle activation}, journal = {Journal of Biomechanics}, pages = {45 -- 53}, year = {2007}, language = {en} } @article{EhrigHellerKratzensteinetal.2011, author = {Ehrig, Rainald and Heller, Markus O. and Kratzenstein, Stefan and Duda, Georg and Trepczynski, Adam and Taylor, William R.}, title = {The SCoRE residual: A quality index to assess the accuracy of joint estimations}, volume = {44}, journal = {Journal of Biomechanics}, number = {7}, doi = {10.1016/j.jbiomech.2010.12.009}, pages = {1400 -- 1404}, year = {2011}, language = {en} } @article{EhrigTaylorDudaetal.2006, author = {Ehrig, Rainald and Taylor, William R. and Duda, G. and Heller, Markus O.}, title = {A Survey for Formal Methods for Determining the Centre of Ball Joints}, journal = {Journal of Biomechanics}, number = {39}, pages = {2798 -- 2809}, year = {2006}, language = {en} } @inproceedings{EhrigTaylorDudaetal.2006, author = {Ehrig, Rainald and Taylor, William R. and Duda, G. and Heller, Markus O.}, title = {A New Approach for the Determination of Joint Axes}, booktitle = {Proceedings of the 52th Annual Meeting of the Orthopedic Society}, address = {Chicago}, year = {2006}, language = {en} } @article{EhrigTaylorDudaetal.2007, author = {Ehrig, Rainald and Taylor, William R. and Duda, Georg and Heller, Markus O.}, title = {A Survey for Formal Methods for Determining Functional Joint Axes}, journal = {Journal of Biomechanics}, pages = {2150 -- 2157}, year = {2007}, language = {en} } @inproceedings{KornaropoulosTaylorDudaetal.2009, author = {Kornaropoulos, Evgenios I. and Taylor, William R. and Duda, Georg and Ehrig, Rainald and Matziolis, Georg and M{\"u}ller, Michael and Wassilew, Georgi and Asbach, Patrick and Perka, Carsten and Heller, Markus O.}, title = {An imageless method to quantify the mechanical femoral-tibial angle based on the functional determination of joint centers and axes}, booktitle = {Annual meeting of the ESMAC 2009}, address = {London}, year = {2009}, language = {en} } @article{KornaropoulosTaylorDudaetal.2010, author = {Kornaropoulos, Evgenios I. and Taylor, William R. and Duda, Georg and Ehrig, Rainald and Matziolis, Georg and M{\"u}ller, Michael and Wassilew, Georgi and Asbach, Patrick and Perka, Carsten and Heller, Markus O.}, title = {Frontal plane alignment: An imageless method to predict the mechanical femoral-tibial angle (mFTA) based on functional determination of joint centres and axes}, volume = {31}, journal = {Gait \& Posture}, number = {2}, doi = {10.1016/j.gaitpost.2009.10.006}, pages = {204 -- 208}, year = {2010}, language = {en} } @inproceedings{KratzensteinTaylorEhrigetal.2009, author = {Kratzenstein, Stefan and Taylor, William R. and Ehrig, Rainald and Heller, Markus O.}, title = {Reduction of the influence of skin marker artefacts using the optimal common shape technique}, booktitle = {Annual meeting of the ESMAC 2009}, address = {London}, year = {2009}, language = {en} } @inproceedings{KassiTaylorSchwarzkopfetal.2004, author = {Kassi, J.-P. and Taylor, William R. and Schwarzkopf, J. and Schell, H. and Duda, G. and Ehrig, Rainald}, title = {Wie sind Osteosynthesesysteme und Defektzonen in vivo belastet?}, booktitle = {68. Jahrestagung der Deutschen Gesellschaft f{\"u}r Unfallchirurgie in Verbindung mit dem Deutschen Orthop{\"a}denkongress}, address = {Berlin}, year = {2004}, language = {en} } @inproceedings{KratzensteinEhrigHelleretal.2010, author = {Kratzenstein, Stefan and Ehrig, Rainald and Heller, Markus O. and Duda, Georg and Taylor, William R.}, title = {A Quantification of Accuracy in Estimating Joint Centers}, booktitle = {17th Congress of the European Society of Biomechanics}, address = {Edinburgh}, year = {2010}, language = {en} } @inproceedings{KratzensteinHellerEhrigetal.2009, author = {Kratzenstein, Stefan and Heller, Markus O. and Ehrig, Rainald and Duda, Georg and Schr{\"o}der, J{\"o}rg H. and Taylor, William R.}, title = {Die Bestimmung der Genauigkeit nicht-invasiver Techniken zur Ermittlung der H{\"u}ftgelenksposition in-vivo}, booktitle = {6th annual meeting of the German Society for Biomechanics (DGfB)}, address = {M{\"u}nster}, year = {2009}, language = {en} } @inproceedings{KratzensteinHellerEhrigetal.2009, author = {Kratzenstein, Stefan and Heller, Markus O. and Ehrig, Rainald and Duda, Georg and Schr{\"o}der, J{\"o}rg H. and Taylor, William R.}, title = {Der Vergleich von nicht-invasiven Techniken zur Bestimmung der H{\"u}ftgelenksposition}, booktitle = {Annual meeting of the German Society of Orthopaedics and Trauma Surgery}, address = {Berlin}, year = {2009}, language = {en} } @inproceedings{KratzensteinHellerEhrigetal.2010, author = {Kratzenstein, Stefan and Heller, Markus O. and Ehrig, Rainald and Duda, Georg and Taylor, William R.}, title = {The Residual: A Reliable Measure of Accuracy in the Determination of Joint Centers}, booktitle = {Transactions Vol. 35, 2010 Annual Meeting of the Orthopedic Society}, address = {New Orleans}, year = {2010}, language = {en} } @inproceedings{KratzensteinHellerEhrigetal.2010, author = {Kratzenstein, Stefan and Heller, Markus O. and Ehrig, Rainald and Duda, Georg and Taylor, William R.}, title = {The Hip Joint Centre can be determined to within 3 mm}, booktitle = {17th Congress of the European Society of Biomechanics}, address = {Edinburgh}, year = {2010}, language = {en} } @inproceedings{KratzensteinHellerEhrigetal.2010, author = {Kratzenstein, Stefan and Heller, Markus O. and Ehrig, Rainald and Wassilew, Georgi and Duda, Georg and Taylor, William R.}, title = {A new approach for optimally reducing skin marker artifact allows determination of the hip joint center within 3mm}, booktitle = {Transactions Vol. 35, 2010 Annual Meeting of the Orthopedic Society}, address = {New Orleans}, year = {2010}, language = {en} } @inproceedings{TaylorEhrigDudaetal.2006, author = {Taylor, William R. and Ehrig, Rainald and Duda, G. and Heller, Markus O.}, title = {The determination of joint axes}, booktitle = {5. World Congress of Biomechanics, Munich, Journal of Biomechanics}, number = {39, Suppl. 1}, pages = {S571 -- S572}, year = {2006}, language = {en} }