Bend propagation in flagella. II. Incorporation of dynein cross-bridge kinetics into the equations of motion.
The cross-bridge formalism of T. Hill has been incorporated into the nonlinear differential equations describing planar flagellar motion in an external viscous medium. A stable numerical procedure for solution of these equations is presented. A self-consistent two-state diagram with curvature-dependent rate functions is sufficient to generate stable propagating waves with frequencies and amplitudes typical of sperm flagella. For a particular choice of attachment and detachment rate functions, reasonable variation of frequency and wave speed with increasing viscosity is also obtained. The method can easily be extended to study more realistic state diagrams.
17 references, click to expand
-
Computer simulation of movement-generating cross-bridges.Biophys J. 1976 Sep;16(9):1013-27 PMID: 963202
-
Computer simulation of flagellar movement. IV. Properties of an oscillatory two-state cross-bridge model.Biophys J. 1976 Sep;16(9):1029-41 PMID: 963203
-
Molecular mechanism for oscillation in flagella and muscle.Proc Natl Acad Sci U S A. 1975 Aug;72(8):3102-6 PMID: 1059095
-
Structural conformation of ciliary dynein arms and the generation of sliding forces in Tetrahymena cilia.J Cell Biol. 1978 Feb;76(2):261-77 PMID: 10605437
-
Some self-consistent two-state sliding filament models of muscle contraction.Biophys J. 1975 Apr;15(4):335-72 PMID: 1125390
-
Theoretical formalism for the sliding filament model of contraction of striated muscle. Part II.Prog Biophys Mol Biol. 1975;29(2):105-59 PMID: 1135417
-
Computer simulation of flagellar movement. III. Models incorporating cross-bridge kinetics.J Mechanochem Cell Motil. 1975;3(2):77-86 PMID: 1214108
-
A cross-bridge model of muscle contraction.Prog Biophys Mol Biol. 1978;33(1):55-82 PMID: 146885
-
A comparison of the effects of gentle heating, acetone, and the sulfhydryl reagent bis (4-fluoro-3-nitrophenyl) sulfone on the ATPase activity and pellet height response of tetrahymena cilia.J Supramol Struct. 1977;6(2):155-67 PMID: 20535
-
Direction of active sliding of microtubules in Tetrahymena cilia.Proc Natl Acad Sci U S A. 1977 May;74(5):2045-9 PMID: 266725
-
The structural basis of ciliary bend formation. Radial spoke positional changes accompanying microtubule sliding.J Cell Biol. 1974 Oct;63(1):35-63 PMID: 4424314
-
Theoretical formalism for the sliding filament model of contraction of striated muscle. Part I.Prog Biophys Mol Biol. 1974;28:267-340 PMID: 4617248
-
Model for bend propagation in flagella.J Theor Biol. 1971 Apr;31(1):1-24 PMID: 5576774
-
Effects of increased viscosity on the movements of some invertebrate spermatozoa.J Exp Biol. 1966 Aug;45(1):113-39 PMID: 6007962
-
Bend propagation in flagella. I. Derivation of equations of motion and their simulation.Biophys J. 1978 Jul;23(1):41-57 PMID: 667306
-
Is the 9+2 pattern of flagellar and ciliary axonemes an efficient arrangement for generating planar bending?J Mechanochem Cell Motil. 1977 Jun;4(2):101-11 PMID: 753898
-
Computer simulation of flagellar movement. V. oscillation of cross-bridge models with an ATP-concentration-dependent rate function.J Mechanochem Cell Motil. 1977 Sep;4(3):205-32 PMID: 753901
Contact
No. 2 Wenbo Road, Zhangqiu District, Jinan, Shandong
Qilu Normal University · Genelibs Bioinformatics Lab
750 Shunhua Rd, Jinan
2F, Bldg F, University Science Park
Tel: 0531-88819269
WeChat Official Account
Follow our WeChat subscription account for real-time updates and the latest in medical and biological research.
Business Email
E-mail: product@genelibs.com
Copyright © 2026.Genelibs Jinan Honghui Biotechnology Co., Ltd. 鲁ICP备20007159号-2
