@inproceedings{TaylorKoenigSpeirsetal.2006, author = {Taylor, William R. and K{\"o}nig, Christian and Speirs, A. and Ehrig, Rainald and Duda, G. and Heller, Markus O.}, title = {The medio-lateral force distribution in the sheep knee during walking}, booktitle = {5. World Congress of Biomechanics, Munich, Journal of Biomechanics}, number = {39, Suppl. 1}, pages = {S491}, year = {2006}, language = {en} } @inproceedings{TaylorKoenigSpeirsetal.2006, author = {Taylor, William R. and K{\"o}nig, Christian and Speirs, A. and Ehrig, Rainald and Duda, G. and Heller, Markus O.}, title = {Die medio-laterale Kraftverteilung im Schafsknie}, booktitle = {Deutscher Kongress f{\"u}r Orthp{\"a}die und Unfallchirurgie, Berlin}, year = {2006}, language = {en} } @inproceedings{KornaropoulosTaylorDudaetal.2009, author = {Kornaropoulos, Evgenios I. and Taylor, William R. and Duda, Georg and Ehrig, Rainald and Heller, Markus O.}, title = {Frontal plane lower limb alignment using functionally determined joint centers and axes}, booktitle = {International Conference on Computational Bioengineering}, year = {2009}, language = {en} } @article{BergmannGraichenRohlmannetal.2008, author = {Bergmann, G. and Graichen, F. and Rohlmann, A. and Bender, Alwina and Ehrig, Rainald and Westerhoff, P. and Heinlein, B.}, title = {Design and calibration of load sensing orthopaedic implants}, journal = {Journal Biomech. Eng.}, pages = {02109 -- 1-02109-9}, year = {2008}, language = {en} } @article{MoualeuNgangueWeiserEhrigetal.2015, 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}, volume = {20}, journal = {Communications in Nonlinear Science and Numerical Simulation}, number = {3}, doi = {10.1016/j.cnsns.2014.06.037}, pages = {986 -- 1003}, year = {2015}, 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} }