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Matem. Mod., 2014, Volume 26, Number 11, Pages 105–122 (Mi mm3548)  

This article is cited in 3 scientific papers (total in 3 papers)

Numerical simulation of ultradian oscillations in p53-Mdm2-network under stress conditions

O. F. Voropaevaab, S. R. Senchukovac, K. V. Brodtb, K. E. Garbuzovb, A. V. Melnitchenkob, A. A. Starikovab

a Institute of Computational Technologies, Siberian Branch of the Russian Academy of Sciences
b Novosibirsk State University
c Institute of Regional Pathology and Pathomorphology, Siberian Branch of the Russian Academy of Medical Sciences

Abstract: The numerical analysis of the solutions of the equations system describing the dynamics of concentrations of proteins p53 and Mdm2 in their interaction has been executed. A detailed numerical investigation of the p53-Mdm2-network in the basal and stress conditions was carried out. Calculations showed that the mathematical model predicts a threat of uncontrolled apoptosis and also the possibility of excessive suppression of apoptosis, which increases the risk of tumors. We studied in detail the mechanism of control of the system under stress conditions.

Keywords: p53-induced apoptosis, p53-Mdm2-network, delay differential equation, numerical simulation, Andronov–Hopf bifurcation.

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English version:
Mathematical Models and Computer Simulations, 2015, 7:3, 281–293

Bibliographic databases:

UDC: 519.6; 519.8; 51-7; 616
Received: 30.09.2013

Citation: O. F. Voropaeva, S. R. Senchukova, K. V. Brodt, K. E. Garbuzov, A. V. Melnitchenko, A. A. Starikova, “Numerical simulation of ultradian oscillations in p53-Mdm2-network under stress conditions”, Matem. Mod., 26:11 (2014), 105–122; Math. Models Comput. Simul., 7:3 (2015), 281–293

Citation in format AMSBIB
\Bibitem{VorSenBro14}
\by O.~F.~Voropaeva, S.~R.~Senchukova, K.~V.~Brodt, K.~E.~Garbuzov, A.~V.~Melnitchenko, A.~A.~Starikova
\paper Numerical simulation of ultradian oscillations in p53-Mdm2-network under stress conditions
\jour Matem. Mod.
\yr 2014
\vol 26
\issue 11
\pages 105--122
\mathnet{http://mi.mathnet.ru/mm3548}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3541384}
\elib{https://elibrary.ru/item.asp?id=23421448}
\transl
\jour Math. Models Comput. Simul.
\yr 2015
\vol 7
\issue 3
\pages 281--293
\crossref{https://doi.org/10.1134/S2070048215030102}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84930675972}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. L. A. Prokudina, “Vliyanie vneshnego vozdeistviya na razvitie vozmuschenii v oregonatore s diffuziei”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 7:2 (2015), 50–55  mathnet  elib
    2. O. F. Voropaeva, S. D. Senotrusova, “Perekhod ot uravneniya s zapazdyvaniem k sisteme obyknovennykh differentsialnykh uravnenii v modeli seti onkomarkerov”, Matem. modelirovanie, 29:9 (2017), 135–154  mathnet  elib
    3. O. F. Voropaeva, S. D. Senotrusova, Yu. I. Shokin, “Deregulyatsiya p53-zavisimykh mikroRNK: rezultaty matematicheskogo modelirovaniya”, Matem. biologiya i bioinform., 12:1 (2017), 151–175  mathnet  crossref
  • Математическое моделирование
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