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 - 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 - JOUR A1 - Bergmann, G. A1 - Graichen, F. A1 - Rohlmann, A. A1 - Bender, Alwina A1 - Ehrig, Rainald A1 - Westerhoff, P. A1 - Heinlein, B. T1 - Design and calibration of load sensing orthopaedic implants JF - Journal Biomech. Eng. Y1 - 2008 SP - 02109 EP - 1–02109–9 ER - TY - JOUR 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 JF - Communications in Nonlinear Science and Numerical Simulation 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. Y1 - 2015 U6 - https://doi.org/10.1016/j.cnsns.2014.06.037 VL - 20 IS - 3 SP - 986 EP - 1003 ER -