Systems of Equations: The Explanation of Biomedical Phenomena (II). Dynamic Interdependencies

  • Pedro J. Gutiérrez Diez
  • Irma H. Russo
  • Jose Russo
Chapter

Abstract

On the basis of the results provided in the previous chapter, this chapter analyzes the dynamic aspects of the interdependencies that, from the mathematical perspective, exist between the involved bio-entities in a biomedical phenomena. Using cancer research as a reference point, the relationships between initial conditions in variables and parameters, dynamics, stability and steady states are explained and discussed in detail, both from the theoretical and empirical points of view. The advantages and disadvantages of the different mathematical models of the dynamic biomedical interdependencies are also analyzed, with emphasis on the importance of the assumed hypotheses on the discrete or continuous nature of time.

Keywords

Leukemia Eisen 

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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Pedro J. Gutiérrez Diez
    • 1
  • Irma H. Russo
    • 2
  • Jose Russo
    • 3
  1. 1.University of ValladolidValladolidSpain
  2. 2.Fox Chase Cancer CenterPhiladelphiaUSA
  3. 3.Lab. Breast Cancer ResearchFox Chase Cancer CenterPhiladelphiaUSA

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