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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2004, Volume 44, Number 12, Pages 2276–2295 (Mi zvmmf738)  

This article is cited in 48 scientific papers (total in 48 papers)

Mathematical modeling of regular contours of gene networks

G. V. Demidenkoa, N. A. Kolchanovb, V. A. Likhoshvaic, Yu. G. Matushkinb, S. I. Fadeeva

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Institute of cytology and genetics Siberian Branch of the Russian Academy of Sciences
c Ugra Research Institute of Information Technologies
References:
Received: 15.12.2003
Bibliographic databases:
Document Type: Article
UDC: 519.677.57
MSC: Primary 92B20; Secondary 34K60, 94C15, 05C90, 92D10
Language: Russian
Citation: G. V. Demidenko, N. A. Kolchanov, V. A. Likhoshvai, Yu. G. Matushkin, S. I. Fadeev, “Mathematical modeling of regular contours of gene networks”, Zh. Vychisl. Mat. Mat. Fiz., 44:12 (2004), 2276–2295; Comput. Math. Math. Phys., 44:12 (2004), 2166–2183
Citation in format AMSBIB
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\by G.~V.~Demidenko, N.~A.~Kolchanov, V.~A.~Likhoshvai, Yu.~G.~Matushkin, S.~I.~Fadeev
\paper Mathematical modeling of regular contours of gene networks
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2004
\vol 44
\issue 12
\pages 2276--2295
\mathnet{http://mi.mathnet.ru/zvmmf738}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2124970}
\zmath{https://zbmath.org/?q=an:1069.92001}
\transl
\jour Comput. Math. Math. Phys.
\yr 2004
\vol 44
\issue 12
\pages 2166--2183
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  • https://www.mathnet.ru/eng/zvmmf738
  • https://www.mathnet.ru/eng/zvmmf/v44/i12/p2276
  • This publication is cited in the following 48 articles:
    1. V. A. Denisyuk, I. I. Matveeva, “Svoistva reshenii odnogo klassa nelineinykh sistem differentsialnykh uravnenii s parametrom”, Chelyab. fiz.-matem. zhurn., 8:4 (2023), 483–501  mathnet  crossref
    2. V. P. Golubyatnikov, L. S. Minushkina, “On uniqueness of a cycle in one circular gene network model”, Siberian Math. J., 63:1 (2022), 79–86  mathnet  crossref  crossref  mathscinet
    3. G. V. Demidenko, “Metod resheniya odnoi biologicheskoi zadachi bolshoi razmernosti”, Sib. zhurn. industr. matem., 25:4 (2022), 42–53  mathnet  crossref
    4. D. A. Bratsun, M. D. Buzmakov, “Repressilyator s zapazdyvayuschei ekspressiei genov. Chast II. Stokhasticheskoe opisanie”, Kompyuternye issledovaniya i modelirovanie, 13:3 (2021), 587–609  mathnet  crossref
    5. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “On a mathematical model of the repressilator”, St. Petersburg Math. J., 33:5 (2022), 797–828  mathnet  crossref
    6. D. A. Ogorelova, F. Zh. Sadyrbaev, “Funktsiya Gompertsa v modeli gennykh regulyatornykh setei”, Materialy mezhdunarodnoi konferentsii po matematicheskomu modelirovaniyu v prikladnykh naukakh “International Conference on Mathematical Modelling in Applied Sciences — ICMMAS'19”. Belgorod, 20–24 avgusta 2019 g., Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 195, VINITI RAN, M., 2021, 88–96  mathnet  crossref
    7. Lakhova T.N., Kazantsev V F., Lashin S.A., Matushkin Yu.G., “The Finding and Researching Algorithm For Potentially Oscillating Enzymatic Systems”, Vavilovskii Zhurnal Genet. Sel., 25:3 (2021), 318–330  crossref  isi
    8. Glyzin S.D., Kolesov A.Yu., Rozov N.Kh., “A New Approach to Gene Network Modeling”, Autom. Control Comp. Sci., 54:7 (2020), 655–684  crossref  mathscinet  isi  scopus
    9. Neskorodov Ya.B., Mardanly S.G., Chuprov-Netochin R.N., “The Experience of Analyzing Biological Activity of Ursodeoxycholic Acid as Part of in Silico Prediction of the Gene Expression Profile”, Russ. J. Genet., 56:10 (2020), 1162–1179  crossref  isi
    10. Glyzin S.D. Kolesov A.Yu. Rozov N.Kh., International Conference on Computer Simulation in Physics and Beyond, Journal of Physics Conference Series, 1163, ed. Shchur L., IOP Publishing Ltd, 2019  crossref  isi
    11. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Novyi podkhod k modelirovaniyu gennykh setei”, Model. i analiz inform. sistem, 26:3 (2019), 365–404  mathnet  crossref
    12. N. V. Prytkov, A. L. Perezhogin, “Gamiltonova svyaznost grafov diagonalnoi reshetki”, Sib. elektron. matem. izv., 16 (2019), 2080–2089  mathnet  crossref
    13. G. V. Demidenko, I. A. Uvarova, Yu. A. Khazova, “On one system of ordinary differential equations of large dimension and a delay equation”, J. Appl. Industr. Math., 13:3 (2019), 447–459  mathnet  crossref  crossref  elib
    14. D. A. Bratsun, E. S. Lorgov, A. O. Poluyanov, “Repressilyator s zapazdyvayuschei ekspressiei genov. Chast I. Deterministskoe opisanie”, Kompyuternye issledovaniya i modelirovanie, 10:2 (2018), 241–259  mathnet  crossref
    15. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “An approach to modeling artificial gene networks”, Theoret. and Math. Phys., 194:3 (2018), 471–490  mathnet  crossref  crossref  mathscinet  isi  elib
    16. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Quasi-stable structures in circular gene networks”, Comput. Math. Math. Phys., 58:5 (2018), 659–679  mathnet  crossref  crossref  isi  elib
    17. Golubyatnikov V.P., Kazantsev Maxim Valer'evich, Kirillova N.E., Bukharina Tatyana Anatol'evna, Furman D.P., “Mathematical and Numerical Models of Two Asymmetric Gene Networks”, Sib. Electron. Math. Rep., 15 (2018), 1271–1283  mathnet  crossref  mathscinet  isi
    18. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Existence and Stability of the Relaxation Cycle in a Mathematical Repressilator Model”, Math. Notes, 101:1 (2017), 71–86  mathnet  crossref  crossref  mathscinet  isi  elib
    19. N. B. Ayupova, V. P. Golubyatnikov, M. V. Kazantsev, “On existence of a cycle in one asymmetric model of a molecular repressilator”, Num. Anal. Appl., 10:2 (2017), 101–107  mathnet  crossref  crossref  isi  elib
    20. Petrovskaya O.V., Petrovskiy E.D., Lavrik I.N., Ivanisenko V.A., “A Study of Structural Properties of Gene Network Graphs For Mathematical Modeling of Integrated Mosaic Gene Networks”, J. Bioinform. Comput. Biol., 15:2, SI (2017), 1650045  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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