Computer simulation of flagellar movement. V. oscillation of cross-bridge models with an ATP-concentration-dependent rate function - PubMed (original) (raw)
- PMID: 753901
Computer simulation of flagellar movement. V. oscillation of cross-bridge models with an ATP-concentration-dependent rate function
C J Brokaw et al. J Mechanochem Cell Motil. 1977 Sep.
Abstract
A stochastic computational method developed for analysis of two-state cross-bridge models was extended and used to compute the oscillatory movement generated by three-state cross-bridge models containing a rate function proportional to ATP concentration. Only one of the possible three-state models appears satisfactory; with this model, the frequency of oscillation, at constant amplitude, responds to changes in both ATP concentration and viscosity in the same way as real flagella. In this model, ATP binding causes cross-bridge detachment, which is rate limiting at low ATP concentrations; while at high ATP concentrations a transition between two attached states limits the rate of cross-bridge detachment. Since this model agrees with observations on actomyosin ATPase kinetics, the data on flagellar oscillation frequency support the idea that the movement-generating mechanisms of flagella and muscle are similar.
Similar articles
- Computer simulation of flagellar movement. IV. Properties of an oscillatory two-state cross-bridge model.
Brokaw CJ. Brokaw CJ. Biophys J. 1976 Sep;16(9):1029-41. doi: 10.1016/S0006-3495(76)85753-0. Biophys J. 1976. PMID: 963203 Free PMC article. - Computer simulation of flagellar movement. III. Models incorporating cross-bridge kinetics.
Brokaw CJ, Rintala DR. Brokaw CJ, et al. J Mechanochem Cell Motil. 1975;3(2):77-86. J Mechanochem Cell Motil. 1975. PMID: 1214108 - 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. - 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. - Computer simulation of flagellar movement IX. Oscillation and symmetry breaking in a model for short flagella and nodal cilia.
Brokaw CJ. Brokaw CJ. Cell Motil Cytoskeleton. 2005 Jan;60(1):35-47. doi: 10.1002/cm.20046. Cell Motil Cytoskeleton. 2005. PMID: 15573415
Cited by
- Analysis of unstable modes distinguishes mathematical models of flagellar motion.
Bayly PV, Wilson KS. Bayly PV, et al. J R Soc Interface. 2015 May 6;12(106):20150124. doi: 10.1098/rsif.2015.0124. J R Soc Interface. 2015. PMID: 25833248 Free PMC article. - Equations of interdoublet separation during flagella motion reveal mechanisms of wave propagation and instability.
Bayly PV, Wilson KS. Bayly PV, et al. Biophys J. 2014 Oct 7;107(7):1756-72. doi: 10.1016/j.bpj.2014.07.064. Biophys J. 2014. PMID: 25296329 Free PMC article. - Ciliary motion modeling, and dynamic multicilia interactions.
Gueron S, Liron N. Gueron S, et al. Biophys J. 1992 Oct;63(4):1045-58. doi: 10.1016/S0006-3495(92)81683-1. Biophys J. 1992. PMID: 19431847 Free PMC article. - Simulations of three-dimensional ciliary beats and cilia interactions.
Gueron S, Liron N. Gueron S, et al. Biophys J. 1993 Jul;65(1):499-507. doi: 10.1016/S0006-3495(93)81062-2. Biophys J. 1993. PMID: 8369453 Free PMC article. - Weakly-coupled models for motor enzyme function.
Brokaw CJ. Brokaw CJ. J Muscle Res Cell Motil. 1995 Jun;16(3):197-211. doi: 10.1007/BF00121129. J Muscle Res Cell Motil. 1995. PMID: 7559993