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Research of the ATPase’s rotation catalysis stochastic transition dynamics

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Abstract

In this paper, based on the structure of the ATPase and the master equation, we put forward a stochastic hopping model which describes the rotary four-state motor’s dynamics action. Finally, we obtained the relationship of the angle velocity ω, diffusion coefficient and the ATP’s concentration, and got a result which accords with the rotary motor’s biological mechanism.

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References

  1. Antes, I., Chandler, D., Wang, H., Oster, G. 2003. The unbinding of ATP from F1 ATPase. Biophys J 85, 695–706.

    Article  CAS  PubMed  Google Scholar 

  2. Gao, Y.Q., Yang, W., Karplus, M. 2005. A Structure-Based Model for Theory the Synthesis and Hydrolysis of ATP by F1-ATPase. Cell 123, 195–205.

    Article  CAS  PubMed  Google Scholar 

  3. Kagawa, R., Montgomery, M.G., Braig, K., Leslie, A.G., Walker, J.E. 2004. The structure of bovine F1-ATPase inhibited by ADP and beryllium fluoride. EMBO J 23, 2734–2744.

    Article  CAS  PubMed  Google Scholar 

  4. Kinosita K.J., Yasuda, R., Noji, H., Adachi, K. 2000. A rotary molecular motor that can work at near 100% efficiency. Phil Trans R Soc Lond B 55, 473–489.

    Article  Google Scholar 

  5. Ma, J., Flynn, T., Cui, Q., Leslie, A., Walker, J., Karplus, M. 2002. A Dynamic Analysis of the Rotation Mechanism in F1-ATPase. Structure 10, 921–931.

    Article  CAS  PubMed  Google Scholar 

  6. Muneyuki, E., Noji, H., Amano, T. 2000. F0F1-ATP synthase: general structural features of ATP-engine and a problem on free energy transduction. Biochimica et Biophysica Acta 1458, 467–481.

    Article  CAS  PubMed  Google Scholar 

  7. Oster, G., Wang, H.Y. 2000. Reverse engineering a protein: the mechanochemistry of ATP synthase. Biochim Biophys Acta 1458, 482–510.

    Article  CAS  PubMed  Google Scholar 

  8. Oster, G., Wang, H.Y. 1999. ATP synthase: two motors, two fuels. Structure 7, R67–R72.

    Article  CAS  PubMed  Google Scholar 

  9. Oster, G., Wang, H.Y. 2000. Why is the mechanical efficiency of F1-ATPase so high? Journal of Bioenergetics and Biomembranes 32, 459–469.

    Article  CAS  PubMed  Google Scholar 

  10. Paul, D.B. 1998. ATP synthase — past and future. Biochimica et Biophysica Acta 1365, 3–9.

    Article  Google Scholar 

  11. Rubinstein, J.L., Walker, J.E. 2002. ATP synthase from Saccharomyces cerevisiae: Location of the OSCP Subunit in the Peripheral Stalk Region. Journal of Molecular Biology 321, 613–619.

    Article  CAS  PubMed  Google Scholar 

  12. Wu, W.X., Zhan, Y., Zhao, T.J., Guan, R.H., Mei, J.P. 2003. Directed Motion of a molecular motor based on the four-state model with unequal substeps commun. Theor Phys 40, 9–14.

    CAS  Google Scholar 

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Correspondence to Yan Zheng.

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Zheng, Y., Yang, MJ., Wu, WX. et al. Research of the ATPase’s rotation catalysis stochastic transition dynamics. Interdiscip Sci Comput Life Sci 1, 229–234 (2009). https://doi.org/10.1007/s12539-009-0038-5

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  • DOI: https://doi.org/10.1007/s12539-009-0038-5

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