Identifying and discriminating plausible treatment targets for remodeling related bone disorders is a difficult task often involving medical studies and clinical experiments. We propose to apply a global sensitivity analysis approach to a mathematical model describing the process of force-induced bone growth and adaptation. The considered sensitivity analysis approach finds an outer bound on the set of possible steady states for regions of parameters and inputs/stimuli. The outer bounding is achieved by a reformulation as a feasibility problem, which is convexified and solved via a semidefinite program. In this work, besides the application of this method to the bone growth and adaptation model, we improve the outer bounds by using a smarter multidimensional bisection algorithm. The results obtained allow for structure discrimination between different treatment therapies with a preferable counteractive effect in relation to the severity degree of the bone loss condition. © 2010 IEEE.
CITATION STYLE
Maldonado, S., Savchenko, A., & Findeisen, R. (2010). Therapy discrimination via global sensitivity analysis of force-induced bone growth and adaptation. In Proceedings of the IEEE International Conference on Control Applications (pp. 499–505). https://doi.org/10.1109/CCA.2010.5611067
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