Therapy discrimination via global sensitivity analysis of force-induced bone growth and adaptation

  • Maldonado S
  • Savchenko A
  • Findeisen R
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Abstract

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.

Author-supplied keywords

  • Bone formation
  • Bone functional adaptation
  • Bone remodeling
  • Convex relaxations
  • Rational/polynomial systems
  • Semidefinite programming
  • Sensitivity analysis

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