Mathematical modeling of the flagellated microplavuchtsov

 
PIIS004446690003539-3-1
DOI10.31857/S004446690003539-3
Publication type Article
Status Published
Authors
Affiliation: Institute for Safe Development Problems of the Russian Academy of Sciences
Address: Russian Federation, Moscow
Journal nameZhurnal vychislitelnoi matematiki i matematicheskoi fiziki
EditionVolume 58 Issue 11
Pages1876-1888
Abstract

  

Keywords
AcknowledgmentThe work of S.A. Karabasov was supported by the European Union in the framework of the project of Marie Curie, H2020-MSCA-IF ‑ 2015, grant 703526.
Received15.01.2019
Publication date15.01.2019
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1. Guasto J. S., Rusconi R. and Stocker R. Fluid Mechanics of Planktonic Microorganisms Annu. Rev. Fluid Mech. 44, 373 (2011).

2. Berke A. P., Turner L., Berg H. C. and Lauga E. Hydrodynamic Attraction of Swimming Microorganisms by Surfaces Phys. Rev. Lett. 101, 038102 (2008). Karabasov?

3. Li G. and Tang J. X. Accumulation of Microswimmers near a Surface Mediated by Collision and Rotational Brownian Motion Phys. Rev. Lett. 103, 078101 (2009)

4. Denissenko P., Kantsler V., Smith D. J. and Kirkman-Brown J. Human spermatozoa migration in microchannels reveals boundary-following navigation. Proc. Natl. Acad. Sci. USA 109, 8007 (2012).

5. Kantsler V., Dunkel J., Polin M. and Goldstein R. E. Ciliary contact interactions dominate surface scattering of swimming eukaryotes. Proc. Natl. Acad. Sci. USA 110, 187 (2013).

6. Liron N. The LGL (Lighthill-Gueron-Liron) Theorem – historical perspective and critique. Math Meth App Sci. 24, 17–18, (2001)

7. Landau L.D., Lifshits E. M. Gidrodinamika. Teoreticheskaya fizika: t.VI, 3-e izd., M., Nauka, 1986, 736 s.

8. Montenegro-Johnson T. D., Gadelha, H., Smith, D. J. Spermatozoa scattering by a microchannel feature: an elastohydrodynamic model, Royal Society Open Science 2, S. 140475–140475 (2015).

9. Bukatin A., Kukhtevich I., Stoop N., Dunkel N. J., Kantsler V. Bimodal rheotactic behavior reflects flagellar beat asymmetry in human sperm cells. Proc. Natl. Acad. Sci. USA 112 15904 (2015).

10. Rodenborn B., Chen C-H, Swinney H. L., Liu B. and Zhang H. P. Propulsion of microorganisms by a helical flagellum, Proc. Natl. Acad. Sci. USA 110, E338 (2013).

11. Brumley D.R., Wan K. Y., Polin M., Goldstein R. E. Flagellar synchronization through direct hydrodynamic interactions, eLife 3, e02750 (2014).

12. Alouges F., DeSimone A., Giraldi L., Zoppello M. Self-propulsion of slender micro-swimmers by curvature control: N-link swimmers. International Journal of Non-Linear Mechanics 56 (2013) 132–141.

13. Brezzi F., Fortin M. Mixed and hybrid finite element methods. Springer – Verlag, New York, 1991.

14. Huges T.J.R. The finite element method, New Jersy, Hrentice-Hall, 1987, 803p.

15. Drobyshevskij N. I. Modifitsirovannyj chetyrekhugol'nyj konechnyj ehlement dlya resheniya dvumernykh zadach nelinejnogo deformirovaniya konstruktsij, MTT, № 2, 1996, 152–162.

16. Zenkevich O. Metod konechnykh ehlementov v tekhnike, M., Mir, 1975, 539s.

17. Pissanetski S. Tekhnologiya razrezhennykh matrits. – M.: Mir, 1988, 410s.

18. Programma Intel® Math Kernel Library [ehlektronnyj resurs] – rezhim dostupa: https://software.intel.com/en-us/articles/intel-math-kernel-library-documentation/

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