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Uncertainties in Medical Processes Control

  • Conference paper
Coping with Uncertainty

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 581))

Abstract

Models describing diseases and pathologic processes in particular are considered. There are presented basic uncertainties arising in such systems. There is shown why is it so necessary to take into account these uncertainties.

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References

  1. Mathematical modelling in immunology and medicine.-Proc. of the IFIP TC-7 Working Conf., Moscow, USSR, 5–11 July 1982, Ed. by G.I. Marchuk, L.N. Belykh. Amsterdam, New York, Oxford: North-Holland, 1983.

    Google Scholar 

  2. Keener, J., Sneyd, J. Mathematical Physiology. New York: Springer Verlag,1998

    MATH  Google Scholar 

  3. Murray J.M. Mathematical Biology. New York: Springer-Verlag, 1989

    Google Scholar 

  4. V.P. Martsenyuk, On the Problem of Chemotherapy Scheme Search Based on Control Theory. Vol. 35/4 (2003)-Journal of Automation and Information Sciences

    Google Scholar 

  5. V.P. Martsenyuk, On Hopf Bifurcation and Periodic Solutions in G.I.Marchuk Model of Immune Protection-Vol. 35/8 (2003)-Journal of Automation and Information Sciences

    Google Scholar 

  6. V.P. Marzeniuk, Taking Into Account Delay in the Problem of Immune Protection of Organism, Nonlinear Analysis: Real World Applications, Vol 2/4 (2001), pp. 483–496.

    Article  MathSciNet  Google Scholar 

  7. A. G. Nakonechnyi, V. P. Martsenyuk, Controllability Problems for Differential Gompertzian Dynamic Equations, Cybernetics and Systems Analysis 40(2): 252–259, 2004

    Article  MATH  MathSciNet  Google Scholar 

  8. V. P. Martsenyuk, On Stability of Immune Protection Model with Regard for Damage of Target Organ: The Degenerate Liapunov Functionals Method, Cybernetics and Systems Analysis 40(1): 126–136, 2004

    Article  MATH  MathSciNet  Google Scholar 

  9. V.P. Marzeniuk, Qualitative analysis of human cells dynamics: stability, periodicity, bifurcations, control problems, Advances in Mathematics Researches, vol.5, 2003.-New York: Nova Science Publishers. pp. 137–200.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of System Analysis and Decision Making Theory, Kiev National University, Kiev, 01127, Ukraine

    A. G. Nakonechny

  2. Department of Medical Informatics, Ternopil Medical University, Ternopil, 46001, Ukraine

    V. P. Marzeniuk

Authors
  1. A. G. Nakonechny
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  2. V. P. Marzeniuk
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© 2006 Springer-Verlag Berlin Heidelberg

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Nakonechny, A.G., Marzeniuk, V.P. (2006). Uncertainties in Medical Processes Control. In: Coping with Uncertainty. Lecture Notes in Economics and Mathematical Systems, vol 581. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-35262-7_11

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