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Identification of internal properties of fibres and micro-swimmers

Plouraboué, Franck and Thiam, E. Ibrahima and Delmotte, Blaise and Climent, Éric Identification of internal properties of fibres and micro-swimmers. (2017) Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, 473 (2197). 20160517. ISSN 1364-5021

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Official URL: http://dx.doi.org/10.1098/rspa.2016.0517

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.

Item Type:Article
Additional Information:Thanks to The Royal Society. The definitive version is available at http://rspa.royalsocietypublishing.org/ The original PDF of the article can be found at http://rspa.royalsocietypublishing.org/content/473/2197/20160517
HAL Id:hal-01440259
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National des Etudes Spatiales - CNES (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
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Deposited By: Franck PLOURABOUE
Deposited On:19 Jan 2017 09:30

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