Theoretical problems related to the attachment of microtubules to kinetochores (original) (raw)

Abstract

A possible model is analyzed for the maintenance of attachment of a shortening microtubule (MT) to a kinetochore. In this model it is assumed that a MT is inserted and held in a sleeve or channel of the outer layer of a kinetochore while subunits are lost from the MT tip through the central layer of the kinetochore. A second problem considered is the elementary bioenergetics of MT growth and shortening, as associated with the presence or absence of a GTP cap on the MT ends. The free-energy source is the hydrolysis of GTP in solution. The third problem discussed is the kinetics of capture of a centrosomal MT by a target (e.g., a kinetochore).

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Selected References

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  1. Carlier M. F., Hill T. L., Chen Y. Interference of GTP hydrolysis in the mechanism of microtubule assembly: an experimental study. Proc Natl Acad Sci U S A. 1984 Feb;81(3):771–775. doi: 10.1073/pnas.81.3.771. [DOI] [PMC free article] [PubMed] [Google Scholar]
  2. Carlier M. F., Pantaloni D. Kinetic analysis of guanosine 5'-triphosphate hydrolysis associated with tubulin polymerization. Biochemistry. 1981 Mar 31;20(7):1918–1924. doi: 10.1021/bi00510a030. [DOI] [PubMed] [Google Scholar]
  3. Chen Y. D., Hill T. L. Monte Carlo study of the GTP cap in a five-start helix model of a microtubule. Proc Natl Acad Sci U S A. 1985 Feb;82(4):1131–1135. doi: 10.1073/pnas.82.4.1131. [DOI] [PMC free article] [PubMed] [Google Scholar]
  4. Chen Y., Hill T. L. Use of Monte Carlo calculations in the study of microtubule subunit kinetics. Proc Natl Acad Sci U S A. 1983 Dec;80(24):7520–7523. doi: 10.1073/pnas.80.24.7520. [DOI] [PMC free article] [PubMed] [Google Scholar]
  5. Hill T. L., Carlier M. F. Steady-state theory of the interference of GTP hydrolysis in the mechanism of microtubule assembly. Proc Natl Acad Sci U S A. 1983 Dec;80(23):7234–7238. doi: 10.1073/pnas.80.23.7234. [DOI] [PMC free article] [PubMed] [Google Scholar]
  6. Hill T. L., Chen Y. Phase changes at the end of a microtubule with a GTP cap. Proc Natl Acad Sci U S A. 1984 Sep;81(18):5772–5776. doi: 10.1073/pnas.81.18.5772. [DOI] [PMC free article] [PubMed] [Google Scholar]
  7. Hill T. L. Introductory analysis of the GTP-cap phase-change kinetics at the end of a microtubule. Proc Natl Acad Sci U S A. 1984 Nov;81(21):6728–6732. doi: 10.1073/pnas.81.21.6728. [DOI] [PMC free article] [PubMed] [Google Scholar]
  8. Hill T. L., Kirschner M. W. Bioenergetics and kinetics of microtubule and actin filament assembly-disassembly. Int Rev Cytol. 1982;78:1–125. [PubMed] [Google Scholar]
  9. Hill T. L. Phase-change kinetics for a microtubule with two free ends. Proc Natl Acad Sci U S A. 1985 Jan;82(2):431–435. doi: 10.1073/pnas.82.2.431. [DOI] [PMC free article] [PubMed] [Google Scholar]
  10. Mitchison T., Kirschner M. Dynamic instability of microtubule growth. Nature. 1984 Nov 15;312(5991):237–242. doi: 10.1038/312237a0. [DOI] [PubMed] [Google Scholar]
  11. Mitchison T., Kirschner M. Microtubule assembly nucleated by isolated centrosomes. Nature. 1984 Nov 15;312(5991):232–237. doi: 10.1038/312232a0. [DOI] [PubMed] [Google Scholar]
  12. NICKLAS R. B. CHROMOSOME VELOCITY DURING MITOSIS AS A FUNCTION OF CHROMOSOME SIZE AND POSITION. J Cell Biol. 1965 Apr;25:SUPPL–SUPPL:135. doi: 10.1083/jcb.25.1.119. [DOI] [PMC free article] [PubMed] [Google Scholar]
  13. Neidl C., Engel J. Exchange of ADP, ATP and 1: N6-ethenoadenosine 5'-triphosphate at G-actin. Equilibrium and kinetics. Eur J Biochem. 1979 Nov 1;101(1):163–169. doi: 10.1111/j.1432-1033.1979.tb04228.x. [DOI] [PubMed] [Google Scholar]