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Mathematical Modeling of Thrombin Generation and Wave Propagation: From Simple to Complex Models and Backwards

In: Trends in Biomathematics: Mathematical Modeling for Health, Harvesting, and Population Dynamics

Author

Listed:
  • Alexey Tokarev

    (Peoples’ Friendship University of Russia (RUDN University)
    Oncology and Immunology, Dmitry Rogachev National Research Center of Pediatric Hematology)

  • Nicolas Ratto

    (Peoples’ Friendship University of Russia (RUDN University)
    University Lyon 1, Institute Camille Jordan, UMR 5208 CNRS
    Universit de Lyon, Universit Lyon 1, Institute Camille Jordan, INRIA)

  • Vitaly Volpert

    (Peoples’ Friendship University of Russia (RUDN University)
    University Lyon 1, Institute Camille Jordan, UMR 5208 CNRS
    Universit de Lyon, Universit Lyon 1, Institute Camille Jordan, INRIA)

Abstract

Blood coagulation is an extremely complex biochemical system consisting of more than twenty proteins involved in more than a hundred chemical reactions. Correct functioning of this system is indispensable for normal hemostasis, thus its malfunctions lead to life threatening bleedings and thromboses. Huge efforts are directed to understand how this system is organized and controlled, how its response can be predicted, and what experimental methods should be used in patient diagnostics and treatment. Here, we briefly review mathematical modeling approaches existing in this field. We pay special attention to the transitions from simple to complex models and to the reduction of complex models back to simple ones, as such reduction actually provides possibility to understand the fundamental mechanisms of functioning of complex biological systems besides coagulation.

Suggested Citation

  • Alexey Tokarev & Nicolas Ratto & Vitaly Volpert, 2019. "Mathematical Modeling of Thrombin Generation and Wave Propagation: From Simple to Complex Models and Backwards," Springer Books, in: Rubem P. Mondaini (ed.), Trends in Biomathematics: Mathematical Modeling for Health, Harvesting, and Population Dynamics, pages 1-22, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-23433-1_1
    DOI: 10.1007/978-3-030-23433-1_1
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