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  1. 2025

  2. Mathematical and Numerical Modeling of the Pluripotency Gene Network Dynamics

    Golubyatnikov, V. P. & Tatarinova, E. A., 18 Mar 2025, In: Numerical Analysis and Applications. 18, 1, p. 36-43 8 p.

    Research output: Contribution to journal › Article › peer-review

  3. 2024

  4. On Nonlocal Oscillations in 3D Models of Circular Gene Networks

    Glubokikh, A. V. & Golubyatnikov, V. P., Jun 2024, In: Journal of Applied and Industrial Mathematics. 18, 2, p. 246-252 7 p., 7.

    Research output: Contribution to journal › Article › peer-review

  5. Hidden attractors and nonlocal oscillations in gene networks models

    Golubyatnikov, V. P., Ayupova, N. B., Bondarenko, N. E. & Glubokikh, A. V., 1 Apr 2024, In: Russian Journal of Numerical Analysis and Mathematical Modelling. 39, 2, p. 75-81 7 p.

    Research output: Contribution to journal › Article › peer-review

  6. Numerical and Mathematical Modeling of a Gene Network with Nonlinear Degradation of the Components

    Golubyatnikov, V. P., Kirillova, N. E. & Minushkina, L. S., Mar 2024, In: Numerical Analysis and Applications. 17, 1, p. 1-7 7 p.

    Research output: Contribution to journal › Article › peer-review

  7. О спрятанном аттракторе одной несимметричной модели генной сети

    Golubyatnikov, V. P. & Sitnyakovskaya, E. A., 2024, In: Mathematical Notes of NEFU. 31, 2, p. 3-13 11 p., 1.

    Research output: Contribution to journal › Article › peer-review

  8. 2023

  9. The central regulatory circuit in the gene network controlling the morphogenesis of Drosophila mechanoreceptors: an in silico analysis

    Bukharina, T. A., Golubyatnikov, V. P. & Furman, D. P., Dec 2023, In: Vavilovskii Zhurnal Genetiki i Selektsii. 27, 7, p. 746-754 9 p.

    Research output: Contribution to journal › Article › peer-review

  10. Central Regulatory Circuit of the Drosophila Mechanoreceptor Morphogenesis System: Effects of Mutations

    Furman, D. P., Bukharina, T. A. & Golubyatnikov, V. P., Sept 2023, In: Journal of Applied and Industrial Mathematics. 17, 3, p. 535-543 9 p.

    Research output: Contribution to journal › Article › peer-review

  11. On Oscillations in a Gene Network with Diffusion

    Golubyatnikov, V., Ayupova, N. & Kirillova, N., Apr 2023, In: Mathematics. 11, 8, 1951.

    Research output: Contribution to journal › Article › peer-review

  12. 2022

  13. Стратификации и слоения в фазовых портретах моделей генных сетей

    Golubyatnikov, V. P., Akinshin, A. A., Ayupova, N. B. & Minushkina, L. S., Dec 2022, In: Vavilovskii Zhurnal Genetiki i Selektsii. 26, 8, p. 758-764 7 p., 4.

    Research output: Contribution to journal › Article › peer-review

  14. On Uniqueness of a Cycle in One Circular Gene Network Model

    Golubyatnikov, V. P. & Minushkina, L. S., Jan 2022, In: Siberian Mathematical Journal. 63, 1, p. 79-86 8 p.

    Research output: Contribution to journal › Article › peer-review

  15. 2021

  16. On Conditions for the Existence of Cycles in Two Models of a Circadian Oscillator of Mammals

    Golubyatnikov, V. P., Podkolodnaya, O. A., Podkolodnyy, N. L., Ayupova, N. B., Kirillova, N. E. & Yunosheva, E. V., Nov 2021, In: Journal of Applied and Industrial Mathematics. 15, 4, p. 597-608 12 p.

    Research output: Contribution to journal › Article › peer-review

  17. On a Cycle in a 5-Dimensional Circular Gene Network Model

    Ayupova, N. B. & Golubyatnikov, V. P., Aug 2021, In: Journal of Applied and Industrial Mathematics. 15, 3, p. 376-383 8 p., 2.

    Research output: Contribution to journal › Article › peer-review

  18. Non-Uniqueness of Cycles in Piecewise-Linear Models of Circular Gene Networks

    Golubyatnikov, V. P. & Gradov, V. S., Feb 2021, In: Siberian Advances in Mathematics. 31, 1

    Research output: Contribution to journal › Article › peer-review

  19. On uniqueness and stability of a cycle in one gene network

    Golubyatnikov, V. P. & Minushkina, L. S., 2021, In: Siberian Electronic Mathematical Reports. 18, 1, p. 464-473 10 p., 32.

    Research output: Contribution to journal › Article › peer-review

  20. Фазовые портреты моделей двух генных сетей

    Golubyatnikov, V. P. & Kirillova, N. E., 2021, In: Mathematical Notes of NEFU. 28, 1, p. 3-11 9 p., 1.

    Research output: Contribution to journal › Article › peer-review

  21. 2020

  22. Limit cycles in models of circular gene networks regulated by negative feedback loops

    Likhoshvai, V. A., Golubyatnikov, V. P. & Khlebodarova, T. M., 14 Sept 2020, In: BMC Bioinformatics. 21, Suppl 11, p. 255 15 p., 255.

    Research output: Contribution to journal › Article › peer-review

  23. Mathematical and Numerical Models of the Central Regulatory Circuit of the Morphogenesis System of Drosophila

    Bukharina, T. A., Akinshin, A. A., Golubyatnikov, V. P. & Furman, D. P., 1 May 2020, In: Journal of Applied and Industrial Mathematics. 14, 2, p. 249-255 7 p.

    Research output: Contribution to journal › Article › peer-review

  24. On Cycles in Models of Functioning of Circular Gene Networks

    Golubyatnikov, V. P. & Kirillova, N. E., 1 May 2020, In: Journal of Mathematical Sciences (United States). 246, 6, p. 779-787 9 p.

    Research output: Contribution to journal › Article › peer-review

  25. 2019

  26. Structure of the Phase Portrait of a Piecewise-Linear Dynamical System

    Ayupova, N. B. & Golubyatnikov, V. P., 1 Oct 2019, In: Journal of Applied and Industrial Mathematics. 13, 4, p. 606-611 6 p.

    Research output: Contribution to journal › Article › peer-review

  27. Monotonicity of the Poincaré Mapping in Some Models of Circular Gene Networks

    Golubyatnikov, V. P. & Minushkina, L. S., 1 Jul 2019, In: Journal of Applied and Industrial Mathematics. 13, 3, p. 472-479 8 p.

    Research output: Contribution to journal › Article › peer-review

  28. 2018

  29. Piecewise Linear Dynamical System Modeling Gene Network with Variable Feedback

    Golubyatnikov, V. P. & Kazantsev, M. V., 1 Apr 2018, In: Journal of Mathematical Sciences (United States). 230, 1, p. 46-54 9 p.

    Research output: Contribution to journal › Article › peer-review

  30. Mathematical and numerical models of two asymmetric gene networks

    Golubyatnikov, V. P., Kazantsev, M. V. E., Kirillova, N. E., Bukharina, T. A. E. & Furman, D. P., 1 Jan 2018, In: Сибирские электронные математические известия. 15, p. 1271-1283 13 p.

    Research output: Contribution to journal › Article › peer-review

  31. 2017

  32. A three-cell model of the initial stage of development of a proneural cluster

    Ayupova, N. B. & Golubyatnikov, V. P., 1 Apr 2017, In: Journal of Applied and Industrial Mathematics. 11, 2, p. 168-173 6 p.

    Research output: Contribution to journal › Article › peer-review

  33. On the existence of a cycle in an asymmetric model of a molecular repressilator

    Ayupova, N. B., Golubyatnikov, V. P. & Kazantsev, M. V., 1 Apr 2017, In: Numerical Analysis and Applications. 10, 2, p. 101-107 7 p.

    Research output: Contribution to journal › Article › peer-review

ID: 3443971