Computer simulation of flagellar movement. III. Models incorporating cross-bridge kinetics - PubMed (original) (raw)
- PMID: 1214108
Computer simulation of flagellar movement. III. Models incorporating cross-bridge kinetics
C J Brokaw et al. J Mechanochem Cell Motil. 1975.
Abstract
A computer simulation procedure is used to analyze the generation of propagated bending waves by flagellar models in which active sliding is generated by a cycle of cross-bridge activity. Two types of cross-bridge cycle have been examined in detail. In both cycles, cross-bridge attachment is followed immediately by a configurational change in the cross-bridge, which transfers energy to a stretched elastic element and generates a shearing force between the filaments. In the first model, which has cross-bridge behavior close to current ideas about cross-bridge behavior in muscle, cross-bridge attachment is proportional to curvature of the flagellum and detachment is an exponential decay process. The configurational change is equivalent to an angular deviation of pi/5 radians. In the second type of cross-bridge cycle, cross-bridge attachment occurs rapidly when a critical curvature is reached, and detachment occurs when a critical curvature in the opposite direction is reached. With this cycle, an unrealistically large angular deviation of the cross-bridges, equivalent to 3.0 radians, is required to obtain bending waves of normal amplitude. Both models generate bending wave patterns similar to those obtained in earlier work. However, the behavior of the second type of cross-bridge model more closely matches the actual behavior of flagella under experimental conditions: the chemical turnover rate per beat cycle remains constant as the viscosity is increased, and reduction in the number of active cross-bridges can cause a reduction in beat frequency, with little change in amplitude or wavelength.
Similar articles
- Computer simulation of flagellar movement. V. oscillation of cross-bridge models with an ATP-concentration-dependent rate function.
Brokaw CJ, Rintala D. Brokaw CJ, et al. J Mechanochem Cell Motil. 1977 Sep;4(3):205-32. J Mechanochem Cell Motil. 1977. PMID: 753901 - Models for oscillation and bend propagation by flagella.
Brokaw CJ. Brokaw CJ. Symp Soc Exp Biol. 1982;35:313-38. Symp Soc Exp Biol. 1982. PMID: 6223398 Review. - Computer simulation of flagellar movement VIII: coordination of dynein by local curvature control can generate helical bending waves.
Brokaw CJ. Brokaw CJ. Cell Motil Cytoskeleton. 2002 Oct;53(2):103-24. doi: 10.1002/cm.10067. Cell Motil Cytoskeleton. 2002. PMID: 12211108 - Computer simulation of flagellar movement. I. Demonstration of stable bend propagation and bend initiation by the sliding filament model.
Brokaw CJ. Brokaw CJ. Biophys J. 1972 May;12(5):564-86. doi: 10.1016/S0006-3495(72)86104-6. Biophys J. 1972. PMID: 5030565 Free PMC article. - Cross-bridge behavior in a sliding filament model for flagella.
Brokaw CJ. Brokaw CJ. Soc Gen Physiol Ser. 1975;30:165-79. Soc Gen Physiol Ser. 1975. PMID: 127383 Review. No abstract available.
Cited by
- Flagella-like beating of actin bundles driven by self-organized myosin waves.
Pochitaloff M, Miranda M, Richard M, Chaiyasitdhi A, Takagi Y, Cao W, De La Cruz EM, Sellers JR, Joanny JF, Jülicher F, Blanchoin L, Martin P. Pochitaloff M, et al. Nat Phys. 2022 Oct;18(10):1240-1247. doi: 10.1038/s41567-022-01688-8. Epub 2022 Aug 8. Nat Phys. 2022. PMID: 37396880 Free PMC article. - Modelling Motility: The Mathematics of Spermatozoa.
Gaffney EA, Ishimoto K, Walker BJ. Gaffney EA, et al. Front Cell Dev Biol. 2021 Jul 20;9:710825. doi: 10.3389/fcell.2021.710825. eCollection 2021. Front Cell Dev Biol. 2021. PMID: 34354994 Free PMC article. Review. - Instability-driven oscillations of elastic microfilaments.
Ling F, Guo H, Kanso E. Ling F, et al. J R Soc Interface. 2018 Dec 21;15(149):20180594. doi: 10.1098/rsif.2018.0594. J R Soc Interface. 2018. PMID: 30958229 Free PMC article. - The counterbend dynamics of cross-linked filament bundles and flagella.
Coy R, Gadêlha H. Coy R, et al. J R Soc Interface. 2017 May;14(130):20170065. doi: 10.1098/rsif.2017.0065. J R Soc Interface. 2017. PMID: 28566516 Free PMC article. - Steady dynein forces induce flutter instability and propagating waves in mathematical models of flagella.
Bayly PV, Dutcher SK. Bayly PV, et al. J R Soc Interface. 2016 Oct;13(123):20160523. doi: 10.1098/rsif.2016.0523. J R Soc Interface. 2016. PMID: 27798276 Free PMC article.
Publication types
MeSH terms
LinkOut - more resources
Research Materials
Miscellaneous