title: Identification of internal properties of fibres and micro-swimmers.
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.
authors.affiliation: Institut de Mécanique des Fluides de Toulouse (IMFT) , Université de Toulouse , CNRS , INPT , UPS , Allée du Pr. Camille Soula , 31400 Toulouse , France.
authors.forename: Franck
authors.identifier: 0000-0003-0349-4221
authors.initials: F
authors.lastname: Plouraboué
authors.affiliation: Institut de Mécanique des Fluides de Toulouse (IMFT) , Université de Toulouse , CNRS , INPT , UPS , Allée du Pr. Camille Soula , 31400 Toulouse , France.
authors.forename: E Ibrahima
authors.initials: EI
authors.lastname: Thiam
authors.affiliation: Institut de Mécanique des Fluides de Toulouse (IMFT) , Université de Toulouse , CNRS , INPT , UPS , Allée du Pr. Camille Soula , 31400 Toulouse , France.
authors.forename: Blaise
authors.initials: B
authors.lastname: Delmotte
authors.affiliation: Institut de Mécanique des Fluides de Toulouse (IMFT) , Université de Toulouse , CNRS , INPT , UPS , Allée du Pr. Camille Soula , 31400 Toulouse , France.
authors.forename: Eric
authors.initials: E
authors.lastname: Climent
keywords: Stokesflows; active filament; bead models; fibre dynamics; parameter identification