Comparison of efficency of translation between a deformable swimmer versus a rigid body in a bounded fluid domain: Consequences for subcellular transport

Journal of Biological Physics

Volumn 32, Issue 2, 2006, Pages 97-115

  González García, José S ^a   Delgado, Joaquín ^a  

^a DEPARTAMENTO DE QUÍMICA   (Mexico)

Author keywords

Microswimming; Organelle transport; Stokes fluids

Indexed keywords

MOLECULAR MOTOR;

ARTICLE; CELL MOTION; CELL ORGANELLE; CELL TRANSPORT; CYTOLOGY; HYDRODYNAMICS; MATHEMATICAL COMPUTING; OSCILLATION; PRIORITY JOURNAL; RIGIDITY; SWIMMING;

EID: 33750471158     PISSN: 00920606     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10867-006-9003-2     Document Type: Article

References (31)

1. Beretier-Hahn, J.: Behavior of Mitochondria in the Living Cell, Intl. Rev. Cytol. 122 (1990), 1-63.
2. Bereiter-Hahn J.: Intracellular Motility of Mitochondria: Role of the Inner Compartment in Migration and Shape Changes of Mitochondria in XTH-Cells, J. Cell Sci. 30 (1978), 99-115.
3. Nakata, T. et al.: Visualization of the Dynamics of Synaptic Vesicle Plasma Membrane Proteins in Living Axons, J. Cell. Biol. 140 (1998), 659-674.
4. Alberts, B. et al.: Molecular Biology of the Cell. Garland Pub. Inc., NY & London, 1994.
5. Verhey, K.J.: Motors and Membrane Trafficking. In: Schliwa, M. (ed.), Molecular Motors, Wiley-Vch., Germany, (2003), pp. 377-410.
6. Magnasco, M.O.: Forced Thermal Ratchets, Phys. Rev. Lett. 71 (1993),1477-81.
7. Giardini, P.A. et al.: Compression Forces Generated by Actin Comet Tails on Lipid Vesicles, Proc. Natl. Acad. Sci. USA. 100 (2003), 6493-98.
8. Blake, J. R.: Self Propulsion Due to Oscillations on the Surface of a Cylinder at Low Reynolds Number, Bull. Austral. Math. Soc. 3 (1971), 255-264.
9. Blake, J. R.: Infinite Models for Ciliary Propulsion, J. Fluid Mech. 49 (1971), 209-218.
10. Shapere, A. and Wilczek, F.: Geometry of Self-Propulsion at Low Reynolds Number, J. Fluid Mech. 198 (1989), 557-585.
11. Alexander Chapman, et al.: Low Reynolds Number Swimming in Two Dimensions. In: Joaquín Delgado (ed.), III International Symposium on Hamiltonian Systems and Celestial Mechanics, Pátzcuaro, Michoacán, México, World Scientific, Singapore, 2000, pp. 32-62.
12. Taylor, G. I.: Analysis of the Swimming of Microscopic Organisms, Proc. R. Soc. London, Ser. A 209 (1951), 447-461.
13. Reynolds, A. J.: The Swimming of Minute Organisms, J. Fluid Mech. 23 (1965), 241-260.
14. Tuck, E. O.: A Note on the Swimming Problem, J. Fluid Mech. 31 (1968), 305-308.
15. Childress, S.: Mechanics of Swimming and Flying, Cambridge University Press, Cambridge, U.K., 1981, Chap. 3.
16. Lighthill, J.: On the Aquirming Motion of Nearly Spherical Deformable Bodies Through Liquids at Very Low Reynolds Number, Commun. Pure Appl. Math. 5 (1952), 109-118.
17. Happel, J. and Brenner, H.: Low Reynolds Number Hidrodynamics, Martinus Nijhoff Pub., Dordrecht, Netherlands, 1986.
18. Koiller, J. and Delgado, J.: On efficiency Calculations for Nonholonomic Locomotion Problems: An Application to Microswimming, Rep. Math. Phys. 42 (1998), 165-83.
19. Koiller, J. et al.: Problems and Progress in Microswimming, J. Nonlinear Sci. 6 (1996), 507-41.
20. Milne-Thomson, L.M.: Theoretical Hydrodynamics. Dover, NY, USA, 1996.
21. Jeffery, G.B.: Plane Stress and Plain Strain in Bipolar Coordinates, Phil. Trans. Roy. Soc. London Ser. A. 221 (1921), 265-93.
22. Delgado, J. and González-García José S.: Evaluation of Spherical Shapes Swimming Efficiency at Low Reynolds Number with Application to Some Biological Problems, Physica D. 168-169 (2002), 365-378.
23. Finn, M.D. and Cox, S.M.: Stokes Flow in a Mixer with Changing Geometry, Journal of Engineering Mathematics. 41 (2001), 75-99.
24. Astumian, D.R. and Bier, M.: Mechanochemical Coupling of the Motion of Molecular Motors to ATP Hydrolysis, Biophys. J. 70 (1996), 637-53.
25. Taylor, G.I.: The Action of Weaving Cylindrical Tails in Propelling Microscopic Organisms, Proc. Roy. Soc. Lond. Ser A. 211 (1951), 225-39.
26. Vogel, S.: Life in Moving Fluids. Princeton Univ. Press, Princeton, N.J., USA, 1994
27. González-García José, S.: Evaluación Teórica de la Micronatación Como Mecanismo de movimiento subcelular, Ph.D. thesis. Universidad Nacional Autónoma de México. México, D.F., 2004.
28. Shapere, A. and Wilczek, F.: Efficiencies of Self-Propulsion at Low Reynolds Number, J. Fluid Mech. 198 (1989), 587-99.
29. Astumian, D.R. and Derényi, I.: Fluctuation Driven Transport and Models of Molecular Motors and Pumps, Eur. Biophys. J. 27 (1998), 474-89.
30. Pianka, E.R.: Evolutionary Ecology. Addison-Wesley, NY, USA, 1999.
31. Avron, J.E., Gat, O. and Kenneth, O.: Optimal Swimming at Low Reynolds Numbers, Phys. Rev. Lett. 93 (2004), 186001.