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Matematicheskoe modelirovanie, 2000, Volume 12, Number 3, Pages 75–96 (Mi mm851)  

This article is cited in 10 scientific papers (total in 11 papers)

Mathematical models and computer experiment

Threshold activation of blood coagulation and thrombus growth under flow conditions

A. L. Chulichkova, A. V. Nikolaevb, A. I. Lobanovc, G. T. Guriaa

a Scientific Centre for Haematology RAMS
b Bogomolets Institute of Physiology
c Moscow Institute of Physics and Technology
Abstract: Mathematical model of intravascular thrombus formation under blood flow conditions is formulated. Analysis revealed that under certain critical conditions blood is converted from liquid to polymerized state in a threshold manner. Critical conditions of blood coagulation activation were numerically determined. Localized and disseminated clot formation phenomena are found. Probable medical applications are discussed.
Received: 15.11.1999
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Language: Russian
Citation: A. L. Chulichkov, A. V. Nikolaev, A. I. Lobanov, G. T. Guria, “Threshold activation of blood coagulation and thrombus growth under flow conditions”, Mat. Model., 12:3 (2000), 75–96
Citation in format AMSBIB
\Bibitem{ChuNikLob00}
\by A.~L.~Chulichkov, A.~V.~Nikolaev, A.~I.~Lobanov, G.~T.~Guria
\paper Threshold activation of blood coagulation and thrombus growth under flow conditions
\jour Mat. Model.
\yr 2000
\vol 12
\issue 3
\pages 75--96
\mathnet{http://mi.mathnet.ru/mm851}
\zmath{https://zbmath.org/?q=an:1027.76702}
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  • https://www.mathnet.ru/eng/mm851
  • https://www.mathnet.ru/eng/mm/v12/i3/p75
  • This publication is cited in the following 11 articles:
    1. A. A. Aksenov, S. V. Zhluktov, M. D. Kalugina, V. S. Kashirin, A. I. Lobanov, D. V. Shaurman, “Redutsirovannaya matematicheskaya model svertyvaniya krovi s uchetom pereklyucheniya aktivnosti trombina kak osnova otsenki vliyaniya gemodinamicheskikh effektov i ee realizatsiya v pakete FlowVision”, Kompyuternye issledovaniya i modelirovanie, 15:4 (2023), 1039–1067  mathnet  crossref
    2. Melnikova A.A., Derugina N.N., “The Dynamics of the Autowave Front in a Model of Urban Ecosystems”, Mosc. Univ. Phys. Bull., 73:3 (2018), 284–292  crossref  isi  scopus
    3. A. I. Lobanov, “Nauchnye i pedagogicheskie shkoly Aleksandra Sergeevicha Kholodova”, Kompyuternye issledovaniya i modelirovanie, 10:5 (2018), 561–579  mathnet  crossref
    4. Andrei V. Chernov, “O suschestvovanii ravnovesiya po Neshu v differentsialnoi igre, svyazannoi s ellipticheskimi uravneniyami: monotonnyi sluchai”, MTIP, 7:3 (2015), 48–78  mathnet
    5. Andrei V. Chernov, “O suschestvovanii $\varepsilon$-ravnovesiya v differentsialnykh igrakh, svyazannykh s ellipticheskimi uravneniyami, upravlyaemymi mnogimi igrokami”, MTIP, 6:1 (2014), 91–115  mathnet
    6. Rukhlenko A.S., Dudchenko O.A., Zlobina K.E., Guriya G.T., “Porogovaya aktiva- tsiya vnutrisosudistogo svertyvaniya krovi vsledstvie povysheniya pristenochno- go kasatelnogo napryazheniya”, Trudy Moskovskogo fiziko-tekhnicheskogo instituta, 4:2-14 (2012), 192–201  elib
    7. Rukhlenko A.S., Zlobina K.E., Guriya G.T., “Gidrodinamicheskaya aktivatsiya svertyvaniya krovi v stenozirovannykh sosudakh. teoreticheskii analiz”, Kompyuternye issledovaniya i modelirovanie, 4:1 (2012), 155–183 Hydrodynamical activation of blood coagulation in stenosed vessels. theoretical analysis  elib
    8. Nikolaev, AV, “Experimental research on fibrin clot permeability with albumin present”, Moscow University Physics Bulletin, 64:3 (2009), 324  crossref  mathscinet  adsnasa  isi  elib  scopus
    9. Ataullakhanov, FI, “Mathematical modeling and computer simulation in blood coagulation”, Pathophysiology of Haemostasis and Thrombosis, 34:2–3 (2005), 60  crossref  isi  scopus
    10. N. B. Petrovskaya, “Vybor vesovykh koeffitsientov v zadache approksimatsii gradienta metodom naimenshikh kvadratov”, Matem. modelirovanie, 16:5 (2004), 83–93  mathnet  mathscinet
    11. A. I. Lobanov, T. K. Starozhilova, V. I. Zarnitsyna, F. I. Ataullakhanov, “Sravnenie dvukh matematicheskikh modelei dlya opisaniya prostranstvennoi dinamiki protsessa svertyvaniya krovi”, Matem. modelirovanie, 15:1 (2003), 14–28  mathnet  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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