05.13.18 (Mathematical modelling, calculating methods, and the program systems)
Birth date:
30.11.1957
E-mail:
Keywords:
mathematical models,
systems analysis,
identification,
immune system. infectious diseases.
Subject:
Mathematical Modelling in Biology.
Main publications:
G. A. Bocharov, G. I. Marchuk, A. A. Romanyukha, “Numerical solution by LMMs of stiff delay differential systems modelling an immune response”, Numerische Mathematik, 73 (1996), 131–148
G. A. Bocharov, F. A. Rihan, “Numerical Modelling in Biosciences Using Delay Differential Equations”, Journal of Computational and Applied Mathematics, 125 (2000), 183–199
G. I. Marchuk, V. Shutyaev, G. Bocharov, “Adjoint equations and analysis of complex systems: application to virus infection modeling”, Journal of Computational and Applied Mathematics, 184 (2005), 177–204
T. Luzyanina, D. Roose, G. Bocharov, “Estimation of parameters of a label-structured cell population balance model from CFSE histogram data”, Journal of Mathematical Biology, 59:5 (2009), 581–603
M. Yu. Khristichenko, Yu. M. Nechepurenko, D. S. Grebennikov, G. A. Bocharov, “Numerical analysis of stationary solutions of systems with delayed argument in mathematical immunology”, CMFD, 68:4 (2022), 686–703
N. V. Pertsev, G. A. Bocharov, K. K. Loginov, “Numerical simulation of dynamics of T-lymphocytes population
in the lymph node”, Sib. Zh. Ind. Mat., 25:4 (2022), 136–152
2021
3.
G. A. Bocharov, K. K. Loginov, N. V. Pertsev, V. A. Topchii, “Direct statistical modeling of HIV-1 infection based on a non-Markovian stochastic model”, Zh. Vychisl. Mat. Mat. Fiz., 61:8 (2021), 1245–1268; Comput. Math. Math. Phys., 61:8 (2021), 1229–1251
D. A. Zheltkov, R. M. Tretiakova, V. V. Zheltkova, G. A. Bocharov, “An efficient software implementation of numerical methods for solving stiff systems of delay differential equations”, Num. Meth. Prog., 21:1 (2020), 78–86
5.
A. V. Kim, G. A. Bocharov, “Minimax differential game with delay”, Russian Universities Reports. Mathematics, 25:132 (2020), 359–369
2019
6.
N. M. Bessonov, G. A. Bocharov, A. Bouchnita, V. A. Vol'pert, “Hybrid models in biomedical applications”, Computer Research and Modeling, 11:2 (2019), 287–309
7.
E. V. Sklyarova, Yu. M. Nechepurenko, G. A. Bocharov, “Numerical steady state analysis of the Marchuk–Petrov model of antiviral immune response”, Keldysh Institute preprints, 2019, 031, 26 pp.
8.
Yu. M. Nechepurenko, M. Yu. Khristichenko, D. S. Grebennikov, G. A. Bocharov, “Bistability analysis of virus infection models with delayed arguments”, Keldysh Institute preprints, 2019, 017, 26 pp.
V. V. Zheltkova, D. A. Zheltkov, G. A. Bocharov, “Modelling HIV infection: model identification and global sensitivity analysis”, Mat. Biolog. Bioinform., 14:1 (2019), 19–33
T. Luzyanina, G. Bocharov, “Markov chain Monte Carlo parameter estimation of the ODE compartmental cell growth model”, Mat. Biolog. Bioinform., 13:2 (2018), 376–391
A. L. Tasevich, G. A. Bocharov, V. A. Volpert, “Reaction-diffusion equations in immunology”, Zh. Vychisl. Mat. Mat. Fiz., 58:12 (2018), 2048–2059; Comput. Math. Math. Phys., 58:12 (2018), 1967–1976
G. A. Bocharov, Yu. M. Nechepurenko, M. Yu. Khristichenko, D. S. Grebennikov, “Optimal perturbations of systems with delayed argument for control of dynamics of infectious diseases based on multicomponent actions”, CMFD, 63:3 (2017), 392–417
G. A. Bocharov, Yu. M. Nechepurenko, M. Yu. Khristichenko, D. S. Grebennikov, “Control of models of virus infections with delayed variables, based on optimal disturbances”, Keldysh Institute preprints, 2017, 052, 28 pp.
G. A. Bocharov, G. I. Marchuk, “Applied problems of mathematical modeling in immunology”, Zh. Vychisl. Mat. Mat. Fiz., 40:12 (2000), 1905–1920; Comput. Math. Math. Phys., 40:12 (2000), 1830–1844
HIV process — differential game A. V. Kim, G. А. Bocharov International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko June 8, 2022 12:50
О работах Г. И. Марчука в области математической иммунологии G. A. Bocharov Междкнародная конференция, посвященная 90-летию со дня рождения Г. И. Марчука "Современные проблемы вычислительной математики и математического моделирования" June 8, 2015 18:30