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Using Qualitative Description for the Dynamic Analysis of Virus Inflection

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Simulated Evolution and Learning (SEAL 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4247))

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Abstract

A method based on qualitative description is introduced to analyze the dynamic system of viral infection, and to predict the qualitative behaviors of the system by describing qualitative states and the transition between the states. The algorithm of building qualitative states is presented and then the qualitative states graph can be created from the dynamic model of viral infection. The reasoning algorithm is given to accomplish the transitions between the qualitative states. The qualitative trends of the state variables and their relative positions of the viral infection model are obtained, and then the corresponding transition graph of these qualitative states is gained. The qualitative simulation of the system is also given without precise formulation of the model.

Supported by Key Project of Natural Science Foundation of China (60434010).

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References

  1. Pereson, A.S.: Modelling Viral and Immune System Dynamics. Nature Reviews 2, 228–236 (2002)

    Google Scholar 

  2. ChenXi, S., Hailin, F., Yue, W., Jinfeng, F.: Qualitative prediction in Virus entry based on feedback. In: Proceeding of Asia Simulation Conference, vol. 2, pp. 1343–1347 (2005)

    Google Scholar 

  3. Bernard, O., Gouze, J.-l.: Transient behavior of biological loop models, with application to the Droop model. Math. Biosci. 127, 19–43 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  4. Rust, M.J., Lakadamyali, M.: Assembly of endocytic machinery around individual influenza viruses during viral entry. Nature structural & molecular biology 11, 567–573 (2004)

    Article  Google Scholar 

  5. Perko, L.: Differential Equations and Dynamical Systems. Springer, Berlin (1991)

    MATH  Google Scholar 

  6. Sacks, E.: Automatic systems perspective on qualitative simulation. Artificial Intelligence 42, 349–362 (1990)

    Article  MATH  Google Scholar 

  7. de Jong, H., Gouze, J.-l., Hernandez, C.: Qualitative Simulation of Genetic Regulatory Networks Using Piecewise-Linear Models. Bulletin of Mathematical Biology. 66, 301–340 (2004)

    Article  MathSciNet  Google Scholar 

  8. Volterra, V.: Variations and fluctuations in the numbers of coexisting animal species, vol. 22, pp. 1923–1940. Springer, Berlin (1978)

    Google Scholar 

  9. Gouze, J.L.: Positive and Negative Circuits in Dynamical Systems. J. Biol. Syst. 6, 11–15 (1998)

    Article  MATH  Google Scholar 

  10. Kuipers, B.: Qualitative Reasoning. MIT Press, Cambridge (1994)

    Google Scholar 

  11. Perelson, A.s., Neumann, et al.: HIV-1 dynamics in vivo: virion clearance rate, infected cell life-span, and viral generation time. Science 271, 1582–1586 (1996)

    Article  Google Scholar 

  12. Ho, D.D., Deumann, A.U., Perelson, et al.: Rapid turnover of plasma virions and CD4 lymphocytes in HIV-1 infection. Nature 373, 123–126 (1996)

    Article  Google Scholar 

  13. Bernard, O., Gouze, J.-L.: Global qualitative description of a class of nonlinear dynamical systems. Artificial Intelligence 136, 29–59 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  14. Kuipers, B.: Qualitative Simulation. Encyclopedia of Physical Science and technology, 3rd edn., pp. 287–300. Academic Press, London (2001)

    Google Scholar 

  15. Bernard, O., Gouze, J.L.: Transient behavior of biological models as a tool of qualitative validation-Aplication to the Droop model and to a N-P-Z model. J. Biol. Syst. 4, 303–314 (1996)

    Article  Google Scholar 

  16. Phogat, S.K., Dimitrov, D.S.: Cell biology of virus entry: a review of selected topics from the 3rd International Frederick meeting. Biochimica et Biophysica Acta 1614, 85–88 (2003)

    Article  Google Scholar 

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© 2006 Springer-Verlag Berlin Heidelberg

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Feng, H., Shao, C., Wang, Z. (2006). Using Qualitative Description for the Dynamic Analysis of Virus Inflection. In: Wang, TD., et al. Simulated Evolution and Learning. SEAL 2006. Lecture Notes in Computer Science, vol 4247. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11903697_81

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  • DOI: https://doi.org/10.1007/11903697_81

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-47331-2

  • Online ISBN: 978-3-540-47332-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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