Temporal stability of node-based internal bone adaptation simulations.

M E Levenston

doi:10.1016/s0021-9290(96)00149-2

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Temporal stability of node-based internal bone adaptation simulations.

M E Levenston

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Abstract

Jacobs et al. (1995, J. Biomechanics 28, 449-459) introduced a new implementation of the remodeling theory developed by Beaupre et al. (1990, J. Orthop. Res. 8, 651-661) that eliminates certain spurious spatial instabilities of previous implementations. Due to the highly nonlinear, coupled nature of multi-dimensional adaptation simulations, direct stability analyses of this method are not practical. In this manuscript, a linearized stability analysis was used to derive an expression for the critical time step for the stability of a simple model problem. In addition to accurately predicting the temporal response of the single degree-of-freedom problem, the analysis provided a conservative estimate of the critical time step for a more realistic, multiple degree-of-freedom adaptation simulation.

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Adaptation, Physiological Bone Remodeling Bone and Bones Computer Simulation Humans Models, Biological Time Factors Journal Article Research Support, U.S. Gov't, Non-P.H.S.

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M E Levenston. 1997. Temporal stability of node-based internal bone adaptation simulations.. https://doi.org/10.1016/s0021-9290(96)00149-2

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