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A CONSISTENT DATA FUSION APPROACH FOR UNCERTAINTY QUANTIFICATION IN RIGID MUSCULOSKELETAL SIMULATION

Sorbonne University, Université de technologie de Compiègne, CNRS, UMR 7338, Biomechanics and Bioengineering, Centre de recherche Royallieu, CS 60 319, 60203 Compiègne Cedex, France

E-mail Address: tien-tuan.dao@utc.fr

Corresponding author.

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MARIE-CHRISTINE HO BA THO

Sorbonne University, Université de technologie de Compiègne, CNRS, UMR 7338, Biomechanics and Bioengineering, Centre de recherche Royallieu, CS 60 319, 60203 Compiègne Cedex, France

E-mail Address: hobatho@utc.fr

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https://doi.org/10.1142/S0219519417500622Cited by:3 (Source: Crossref)

Abstract

Uncertainty quantification in rigid musculoskeletal modeling is essential to analyze the risks related to the simulation outcomes. Data fusion from multiple sources is a potential solution to reduce data uncertainties. This present study aimed at proposing a new data fusion rule leading to a more consistent and coherent data for uncertainty quantification. Moreover, a new uncertainty representation was developed using imprecise probability approach. A biggest maximal coherent subsets (BMCS) operator was defined to fuse interval-valued data ranges from multiple sources. Fusion-based probability-box structure was developed to represent the data uncertainty. Case studies were performed for uncertainty propagation through inverse dynamics and static optimization algorithms. Hip joint moment and muscle force estimation were computed under effect of the uncertainties of thigh mass and muscle properties. Respective p-boxes of these properties were generated. Regarding the uncertainty propagation analysis, correlation coefficients showed a very good value ( $R = 1$ ) for the proposed fusion operator according to classical operators. Muscle force variation of the rectus femoris was computed. Peak-to-peak (i.e., difference between maximal values) rectus femoris forces showed deviations of 55N and 40N for the first and second peaks, respectively. The development of the new fusion operator and fusion-based probability-box leads to a more consistent uncertainty quantification. This allows the estimation of risks associated with the simulation outcomes under input data uncertainties for rigid musculoskeletal modeling and simulation.

Keywords:

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