DOI: 10.1017/s0022112088002125. On the viscous deformation of biological cells under anisotropic surface tension

On the viscous deformation of biological cells under anisotropic surface tension

10.1017/s0022112088002125

Crossref journal-article

Cambridge University Press (CUP)

Journal of Fluid Mechanics (56)

Abstract

A fluid-mechanical approach for the cleavage of biological cells is presented. The equations of motion were combined with concentration and orientation distribution balances, for active contractile filaments on the cell surface, to provide a dynamic evolution of interfacial forces and deformation. The resulting flow and the simultaneously developing surface-tension anisotropy provided a mechanism that facilitates the generation of a contractile ring at the cell equator: a major organelle in the establishment of cell furrow and the ultimate cleavage. The moving-boundary problem was solved numerically using boundary-integral representation for the Stokes equations which was modified to incorporate the anisotropic interfacial tensions.

Bibliography

Zinemanas, D., & Nir, A. (1988). On the viscous deformation of biological cells under anisotropic surface tension. Journal of Fluid Mechanics, 193, 217â241.

Authors 2

Daniel Zinemanas (first)
Avinoam Nir (additional)

References 48 Referenced 30

Akkas, N. 1981 J. Biomech. 14,621. (10.1016/0021-9290(81)90088-9)
Waxman, A. M. 1984 Stud. Appl. Maths 66,189.
Youngren, G. K. & Acrivos, A. 1975 J. Fluid Mech. 69,377. (10.1017/S0022112075001486)
Greenspan, H. P. 1978 J. Theor. Biol. 70,135. (10.1176/ajp.135.3.381-a)
Rappaport, R. & Ebstein, R. P. 1965 J. Exp. Zool. 158,373. (10.1002/jez.1401580311)
Pujara, P. & Lardner, T. J. 1979 J. Biomech. 12,293. (10.1016/0021-9290(79)90071-X)
Lanir, Y. 1983 J. Biomech. 16,1. (10.1016/0021-9290(83)90041-6)
Butschli, O. 1876 Abh. Senckenberg. naturf. Ges., Frankf. M. 10,232.
Akkas, N. 1980 J. Biomech. 13,977. (10.1016/0021-9290(80)90043-3)
Hiramoto, Y. 1968 22nd Symp. Soc. Expl Biol., p.311.
Ladyzhenskaya, D. A. 1969 The Mathematical Theory of Viscous Incompressible Flow ,2nd edn. Gordon and Breach.
Schroeder, T. E. 1981a In Cytoskeletal Elements and Plasma Membrane Organization (ed G. Poste & G. K. Nicolson ), p.169.Elsevier.
Goody, R. S. & Holmes, K. C. 1983 Biochim Biophys Acta 726,13. (10.1016/0304-4173(83)90009-5)
Geller, A. S. , Lee, A. S. & Leal, L. G. 1986 J. Fluid Mech. 169,27. (10.1017/S0022112086000538)
Conrad, G. W. & Rappaport, R. 1981 In Mitosis/Cytokinesis (ed. A. M. Zimmerman & A. Forer ), p.365.Academic. (10.1016/B978-0-12-781240-3.50020-2)
Aris, R. 1962 Vector, Tensors and the Basic Equations of Fluid Mechanics .Prentice-Hall.
Higdon, J. J. L. 1985 J. Fluid Mech. 159,195. (10.1017/S0022112085003172)
Waxman, A. M. 1981 J. Non Newtonian Fluid Mech. 9,235. (10.1016/0377-0257(81)85003-3)
Beams, H. W. & Evans, T. C. 1940 Biol. Bull. 79,188. (10.2307/1537838)
Greenspan, H. P. 1977b Stud. Appl. Maths 57,45. (10.1002/sapm197757145)
Evans, E. A. & Skalak, R. 1979 Mechanics and Thermodynamics of Biomembranes .CRC.
Hiramoto, Y. 1956 Expl Cell. Res. 11,630. (10.1016/0014-4827(56)90171-9)
Zinemanas, D. & Nir, A. 1987 In The Biomechanics of Cell Division (ed. N. Akkas ), p.281.Plenum. (10.1007/978-1-4684-1271-0_14)
Lee, S. H. & Leal, L. G. 1982 J. Colloid Interface Sci.87,81. (10.1016/0021-9797(82)90373-3)
Rallison, J. M. & Acrivos, A. 1978 J. Fluid Mech. 89,191. (10.1017/S0022112078002530)
Schroeder, T. E. 1987 In The Biomechanics of Cell Division (ed. N. Akkas ), p.209.Plenum. (10.1007/978-1-4684-1271-0_11)
White, J. G. & Borisy, G. G. 1983 J. Theor. Biol. 101,289. (10.1016/0022-5193(83)90342-9)
Greenspan, H. P. 1977a J. Theor. Biol. 65,79. (10.1016/0022-5193(77)90078-9)
Youngren, G. K. & Acrivos, A. 1976 J. Fluid Mech. 76,433. (10.1017/S0022112076000724)
Schroeder, T. E. 1981b Expl Cell. Res. 134,231. (10.1016/0014-4827(81)90480-8)
Sapir, T. & Nir, A. 1985 Physico. Hydrodyn. 6,803.
Koppel, D. E. , Oliver, J. M. & Berlin, R. D. 1982 J. Cell. Biol. 93,950. (10.1083/jcb.93.3.950)
Karasiewicz, J. 1981 In Mitosis/Cytokinesis (ed. A. M. Zimmerman & A. Forer ), p.419.Academic. (10.1016/B978-0-12-781240-3.50022-6)
Levich, V. G. & Krylov, V. S. 1969 Ann. Rev. Fluid Mech. 1,293. (10.1146/annurev.fl.01.010169.001453)
Rappaport, R. 1978 J. Exp. Zool. 206,1. (10.1002/jez.1402060102)
Adin Mann, J. 1984 Surf. Colloid Sci. 13,145. (10.1007/978-1-4615-7972-4_4)
Leal, L. G. & Hinch, E. J. 1971 J. Fluid Mech. 46,685. (10.1017/S0022112071000788)
Hiramoto, Y. 1978 Dev. Grow. Diff. 13,191. (10.1007/BF01909920)
Edidin, N. 1977 Ann. Rev. Biophys. Bioengng 3,179. (10.1146/annurev.bb.03.060174.001143)
Schroeder, T. E. 1975 In Molecules and Cell Movement (ed. S. Inoue & E. R. Stephens ), p.305.NY:Raven.
Cox, R. G. 1969 J. Fluid Mech. 37,601. (10.1017/S0022112069000759)
Sapir, T. 1984 Surface tension driven motion of interfaces. M.Sc. thesis, Technion.
Barthes-Biesel, D. & Sgaier, H. 1985 J. Fluid Mech. 160,119. (10.1017/S002211208500341X)
Schroeder, T. E. 1973 Proc. Natn. Acad. Sci. USA 70,1688. (10.1073/pnas.70.6.1688)
Hiram, Y. & Nir, A. 1983 J. Colloid Interface Sci. 95,462. (10.1016/0021-9797(83)90206-0)
Spek, J. 1918 Arch. f. Entw. Mech. 44,5. (10.1007/BF02638242)
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Dates

Type	When
Created	19 years, 4 months ago (April 21, 2006, 2:16 p.m.)
Deposited	2 months ago (June 21, 2025, 2:39 a.m.)
Indexed	2 months ago (June 21, 2025, 3:10 a.m.)
Issued	37 years ago (Aug. 1, 1988)
Published	37 years ago (Aug. 1, 1988)
Published Online	19 years, 4 months ago (April 21, 2006)
Published Print	37 years ago (Aug. 1, 1988)

Funders 0

None

BibTeX

@article{Zinemanas_1988, title={On the viscous deformation of biological cells under anisotropic surface tension}, volume={193}, ISSN={1469-7645}, url={http://dx.doi.org/10.1017/s0022112088002125}, DOI={10.1017/s0022112088002125}, journal={Journal of Fluid Mechanics}, publisher={Cambridge University Press (CUP)}, author={Zinemanas, Daniel and Nir, Avinoam}, year={1988}, month=aug, pages={217–241} }

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