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

Alexey Tokarev, Nicolas Ratto () and Vitaly Volpert ()
Additional contact information
Alexey Tokarev: Peoples’ Friendship University of Russia (RUDN University)
Nicolas Ratto: Peoples’ Friendship University of Russia (RUDN University)
Vitaly Volpert: Peoples’ Friendship University of Russia (RUDN University)

A chapter in Trends in Biomathematics: Mathematical Modeling for Health, Harvesting, and Population Dynamics, 2019, pp 1-22 from Springer

Abstract: 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.

Keywords: Blood coagulation; Blood diseases; Active media; Autowaves; Mathematical modeling; Detailed models; Phenomenological models; Reduced models (search for similar items in EconPapers)
Date: 2019
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-23433-1_1

Ordering information: This item can be ordered from
http://www.springer.com/9783030234331

DOI: 10.1007/978-3-030-23433-1_1

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().