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Markov Modelling of Mitochondrial BAK Activation Kinetics during Apoptosis

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Stochastic Algorithms: Foundations and Applications (SAGA 2009)

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Abstract

The molecular mechanism underlying mitochondrial BAK activation during apoptosis remains highly controversial. Two seemingly conflicting models known as the agonism model and the de-repressor model have been proposed. In the agonism model, BAK requires activator BH3 only proteins to initiate a series of events that results in cell apoptosis. In the de-repressor model the antagonism of pro-survival BCL-2 family proteins alone is sufficient for BAK activation kinetics to promote apoptosis. To gain a better understanding of the kinetic implications of these models and reconcile these opposing, but highly evidence-based theories, we have formulated Markov chain models which capture the molecular mechanisms underlying both the agonism and de-repressor models. Our results indicate that both pure agonism and dissociation are mutually exclusive mechanisms capable of initiating mitochondrial apoptosis by BAK activation.

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References

  1. Adams, J.M., Cory, S.: The bcl-2 protein family: arbiters of cell survival. Science 281, 1322–1326 (1998)

    Article  Google Scholar 

  2. Letai, A., et al.: Pharmacological manipulation of bcl-2 family members to control cell death. J. Clin. Invet. 115, 2648–2655 (2005)

    Article  Google Scholar 

  3. Green, D.R.: Apoptotic pathways: ten minutes to dead. Cell 121, 671–674 (2005)

    Article  Google Scholar 

  4. Scorrano, L., Korsmeyer, S.J.: Mechanisms of cytochrome c release by proapoptotic BCL-2 family members. Biochemical and Biophysical Research Communications 304, 437–444 (2003)

    Article  Google Scholar 

  5. Walensky, L.D., Pitter, K., Morash, J., Oh, K.J., Barbuto, S., et al.: A stapled BID BH3 helix directly binds and activates BAX. Mol. Cell 24(2), 199–210 (2006)

    Article  Google Scholar 

  6. Cheng, E.H., et al.: Bcl-2, Bcl-Xl sequestered BH3 domain only molecules preventing bax and Bak mediated mitochondrial apoptosis. Mol. Cell 8, 705–711 (2001)

    Article  Google Scholar 

  7. Grills, C., Crawford, N., Chacko, A., Johnston, P.G., O’Rourke, S.F.C., Fennell, D.A.: Dynamical systems analysis of mitochondrial BAK activativation kinetics predicts resistance to BH3 domains. PLoS ONE 3(8), 30–38 (2008)

    Article  Google Scholar 

  8. Oltersdorf, T., Elmore, S.W., Shoemaker, A.R., Armstrong, R.C., Augeri, D.J., et al.: An inhibitor of bcl-2 family proteins induces regression of solid tumours. Nature 435(7042), 677–681 (2005)

    Article  Google Scholar 

  9. Walensky, L.D., Kung, A.L., Escher, I., Malia, T.J., Barbuto, S., et al.: Activation of apoptosis in vivo by a hydrocarbon-stapled BH3 helix. Science 305(5689), 1466–1470 (2004)

    Article  Google Scholar 

  10. Chen, C., Cui, J., Lu, H., Wang, R., Zhang, S., et al.: Modeling of the role of a bax-activation switch in the mitochondrial apoptosis decision. Biophys. Journal 92(12), 4304–4315 (2007)

    Article  Google Scholar 

  11. Ghosh, S., Ghosh, P., Basu, K., Das, S., et al.: Modeling the stochastic dynamics of gene expression in single cells: A birth and death markov chain analysis. In: IEEE International Conference on Bioinformatics and Biomedicine (BIBM). IEEE, Los Alamitos (2007)

    Google Scholar 

  12. Asavathiratham, C., Roy, S., Lesieutre, B., Verghese, G.: The influence model. Control systems Magazine. IEEE 21(6), 52–64 (2001)

    Google Scholar 

  13. Gillespie, D.T.: Exact stochastic simulation of coupled chemical reactions. J. Phys. Chem. 81, 2340–2361 (1977)

    Article  Google Scholar 

  14. Stirzaker, D.: Stochastic Processes and Models. Oxford University Press, Oxford (2005)

    MATH  Google Scholar 

  15. Rudden, R.: Cancer Biology, 3rd edn. Oxford University Press, Oxford (1995)

    Google Scholar 

  16. Centre for Cancer Research and Cell Biology, http://www.qub.ac.uk/research-centres/CentreforCancerResearchCellBiology

  17. Willis, S.N., Fletcher, J.I., Kaufmann, T., van Delft, M.F., Chen, L., et al.: Apoptosis initiated when BH3 ligands engage multiple Bcl-2 homologs, not Bax or Bak. Science 315(5813), 856–859 (2007)

    Article  Google Scholar 

  18. Ruffolo, S.C., Shore, G.C.: BCL-2 selectively interacts with the BID-induced open conformer of BAK, inhibiting BAK auto-oligomerization. J. Biol. Chem. 278(27), 25039–25045 (2003)

    Article  Google Scholar 

  19. Falcke, M.: Deterministic and stochastic models of intracellular Ca2+ waves. New Journal of Physics 5, 96.1–96.28 (2003)

    Google Scholar 

  20. Kitano, H.: Computational systems biology. Nature 420, 206–210 (2002)

    Article  Google Scholar 

  21. Gonze, D., Halloy, J., Goldbeter, A.: Deterministic versus stochastic models for circadian rhythms. J. Biol. Phys. 28, 637–653 (2002)

    Article  Google Scholar 

  22. Srivastava, R., You, L., Summers, J., Yin, J.: Stochastic versus deterministic modeling of intracellular viral kinetics. J. Theor. Biol. 218, 309–321 (2002)

    Article  Google Scholar 

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© 2009 Springer-Verlag Berlin Heidelberg

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Grills, C., Fennell, D.A., Shearer, S.F.C. (2009). Markov Modelling of Mitochondrial BAK Activation Kinetics during Apoptosis. In: Watanabe, O., Zeugmann, T. (eds) Stochastic Algorithms: Foundations and Applications. SAGA 2009. Lecture Notes in Computer Science, vol 5792. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04944-6_16

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  • DOI: https://doi.org/10.1007/978-3-642-04944-6_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04943-9

  • Online ISBN: 978-3-642-04944-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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