Computer modelling of ciliary motility

• Autorzy: Krivovichev G. V. , Tregoubov V. P.
• Języki publikacji: EN

Abstrakty

EN

This article is devoted to mathematical modelling of motility of a single cilium. After some simplifications, a mechanical model of a cilium as well as a mathematical model of the mechanism of ciliary motility were proposed. These models are based on the hypothesis which was formulated earlier.

Słowa kluczowe

EN

ciliary motility; cilium; mucociliary transport; mathematical modelling

PL

ruchliwość rzęs; migawka; modelowanie matematyczne

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Acta of Bioengineering and Biomechanics
• Rocznik: 2008
• Tom: Vol. 10, nr 3
• Strony: 61--64
• Opis fizyczny: Bibliogr. 8 poz., rys.

Twórcy

autor

Krivovichev G. V.

autor

Tregoubov V. P.

• Department of Modelling of the Electromechanical and Computer Systems, Faculty of Applied Mathematics - Processes of Control, Saint-Petersburg State University, Russia,

Bibliografia

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• [2] SMITH D.J., GAFFNEY E.A., BLAKE J.R., A viscoelastic traction layer model of muco-ciliary transport, Bulletin of Mathematical Biology, 2007, 69, 289–327.
• [3] ALBERTS B., JOHNSON A., LEWIS J., RAFF M., ROBERTS K., WALTER P., Molecular biology of the cell, 3rd edition, Garland, New York, 1994.
• [4] RIKMENSPOEL R., RUDD W.G., The contractile mechanism In cilia, Biophysical Journal, 1973, 13, 955–993.
• [5] MURASE M., The dynamics of cellular motility, John Wiley & Sons, New York, 1992.
• [6] DILLON R.H., FAUCI L.J., An integrative model of internal axoneme mechanics and external fluid dynamics in ciliary beating, Journal of Theoretical Biology, 2000, 207, 415–430.
• [7] TREGOUBOV V.P., TOKIN I.B., SOKOLOFF A.B., Hypotheses and modelling of ciliary motility, Acta of Bioengineering and Biomechanics, 1999, 1 (Suppl. 1), Wrocław, 515–518.
• [8] PRESS W.H., TEUKOLSKY S.A., VETTERLING W.T., FLANNERY B.P., Numerical recipes in C: The art of scientific computing, Cambridge University Press, Cambridge, 1992.