ArticleProceedings. Mathematical, physical, and engineering sciences2017
Identification of internal properties of fibres and micro-swimmers.
Article in Proceedings. Mathematical, physical, and engineering sciences, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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Who cites it
2 citing papers in PubMed.
- The asymptotic coarse-graining formulation of slender-rods, bio-filaments and flagella.Journal of the Royal Society, Interface · 2018Article
- The counterbend dynamics of cross-linked filament bundles and flagella.Journal of the Royal Society, Interface · 2017Article
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Authors and funding
4 authors.
Funding
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Abstract
In this paper, we address the identifiability of constitutive parameters of passive or active micro-swimmers. We first present a general framework for describing fibres or micro-swimmers using a bead-model description. Using a kinematic constraint formulation to describe fibres, flagellum or cilia, we find explicit linear relationship between elastic constitutive parameters and generalized velocities from computing contact forces. This linear formulation then permits one to address explicitly identifiability conditions and solve for parameter identification. We show that both active forcing and passive parameters are both identifiable independently but not simultaneously. We also provide unbiased estimators for generalized elastic parameters in the presence of Langevin-like forcing with Gaussian noise using a Bayesian approach. These theoretical results are illustrated in various configurations showing the efficiency of the proposed approach for direct parameter identification. The convergence of the proposed estimators is successfully tested numerically.
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