Modeling and steering magneto-elastic micro-swimmers inspired by the motility of sperm cells

Autori

  • Marta Zoppello Università degli Studi di Padova
  • Antonio De Simone Scuola Internazionale di Studi Superiori Avanzati (SISSA)
  • François Alouges École Polytechnique CNRS
  • Laetitia Giraldi INRIA Sophia Antipolis Méditerranée

DOI:

https://doi.org/10.1478/AAPP.96S3A12

Parole chiave:

Application of nonlinear analysis and design, Modeling biological systems

Abstract

Controlling artificial devices that mimic the motion of real microorganisms, is attracting increasing interest, both from the mathematical point of view and applications. A model for a magnetically driven slender micro-swimmer, mimicking a sperm cell is presented, supported by two examples showing how to steer it. Using the well known Resistive Force Theory (RTF) approach to describe the hydrodynamic forces, the micro-swimmer can be described by a driftless affiine control system where the control is an external magnetic field. Moreover we discuss through at first an asymptotic analysis and them by numerical simulations how to realize different kind of paths.

Biografie autore

  • Marta Zoppello, Università degli Studi di Padova
    Dipartimento di Matematica "Tullio Levi Civita"
  • Antonio De Simone, Scuola Internazionale di Studi Superiori Avanzati (SISSA)
    Via Bonomea 265, 34136 Trieste
  • François Alouges, École Polytechnique CNRS
    Route de Saclay, 91128 Palaiseau
  • Laetitia Giraldi, INRIA Sophia Antipolis Méditerranée
    Route des Lucioles 2004, 06902 Valbonne
Trinacria

Dowloads

Pubblicato

2018-11-30

Fascicolo

Vol 96, SUPPL NO 3 (2018): M.M.SE.OR.2017

Sezione

M.M.SE.OR. 2017 (Conference Proceedings)

Licenza

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