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 Author ID: kuznetsov.vladimir-a Published as: Kuznetsov, V. A.; Kuznetsov, Vladimir A.; Kuznetsov, V.
 Documents Indexed: 20 Publications since 1982
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#### Co-Authors

 11 single-authored 2 Chaplain, Mark A. J. 2 Knott, Gary D. 2 Senko, Oleg V. 1 Alekseeva, E. I. 1 Borisova, Ludmilla R. 1 Ivshina, A. V. 1 James, Z. H. 1 Kadchenko, Sergeĭ Ivanovich 1 Kuznetsova, A. V. 1 Makalkin, Iliya A. 1 Maleko, E. M. 1 Matzavinos, Anastasios 1 1 Perelson, Alan S. 1 Pickalov, Valery V. 1 Plyshevskaya, Tat’yana Konstantinovna 1 Stepanova, L. A. 1 Taylor, Mark Alan 1 Velikikh, A. S.
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#### Serials

 2 Ukrainian Mathematical Journal 2 Mathematical and Computer Modelling 2 Theory of Stochastic Processes 1 Bulletin of Mathematical Biology 1 Cybernetics 1 Signal Processing 1 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 1 Journal of Biological Systems 1 EURASIP Journal on Applied Signal Processing 1 Mathematical Medicine and Biology 1 Vestnik MaGU. Matematika
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#### Fields

 14 Biology and other natural sciences (92-XX) 8 Probability theory and stochastic processes (60-XX) 5 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 1 History and biography (01-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX)

#### Citations contained in zbMATH Open

10 Publications have been cited 329 times in 257 Documents Cited by Year
Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis. Zbl 0789.92019
Kuznetsov, Vladimir A.; Makalkin, Iliya A.; Taylor, Mark A.; Perelson, Alan S.
1994
Mathematical modelling of the spatio-temporal response of cytotoxic $$T$$-lymphocytes to a solid tumour. Zbl 1061.92038
Matzavinos, Anastasios; Chaplain, Mark A. J.; Kuznetsov, Vladimir A.
2004
Modeling tumor regrowth and immunotherapy. Zbl 1004.92021
Kuznetsov, V. A.; Knott, G. D.
2001
Spatio-temporal dynamics of the immune system response to cancer. Zbl 0926.92022
Chaplain, M. A. J.; Kuznetsov, V. A.; James, Z. H.; Stepanova, L. A.
1998
Distribution associated with stochastic processes of gene expression in a single eukaryotic cell. Zbl 0997.92031
2001
Mathematical modeling of the development of dormant tumors and immune stimulation of their growth. Zbl 0673.92003
Kuznetsov, V. A.
1987
Family of skewed distributions associated with the gene expression and proteome evolution. Zbl 1144.62355
2003
The computer-aided study of dynamics in the system primary tumor, cytotoxic lymphocytes, metastases. Zbl 0841.92014
Kuznetsov, V. A.; Alekseeva, E. I.
1996
Analysis of the evolving proteomes: predictions of the number of protein domains in natureand the number of genes in eukaryotic organisms. Zbl 1113.92310
Kuznetsov, Vladimir A.; Pickalov, Valery V.; Senko, Oleg V.; Knott, Gary D.
2002
The limiting distribution of the mutual winding angles of particles in a Brownian stochastic flow with Lyapunov zero top exponent. Zbl 1363.60111
Kuznetsov, V. A.
2016
The limiting distribution of the mutual winding angles of particles in a Brownian stochastic flow with Lyapunov zero top exponent. Zbl 1363.60111
Kuznetsov, V. A.
2016
Mathematical modelling of the spatio-temporal response of cytotoxic $$T$$-lymphocytes to a solid tumour. Zbl 1061.92038
Matzavinos, Anastasios; Chaplain, Mark A. J.; Kuznetsov, Vladimir A.
2004
Family of skewed distributions associated with the gene expression and proteome evolution. Zbl 1144.62355
2003
Analysis of the evolving proteomes: predictions of the number of protein domains in natureand the number of genes in eukaryotic organisms. Zbl 1113.92310
Kuznetsov, Vladimir A.; Pickalov, Valery V.; Senko, Oleg V.; Knott, Gary D.
2002
Modeling tumor regrowth and immunotherapy. Zbl 1004.92021
Kuznetsov, V. A.; Knott, G. D.
2001
Distribution associated with stochastic processes of gene expression in a single eukaryotic cell. Zbl 0997.92031
2001
Spatio-temporal dynamics of the immune system response to cancer. Zbl 0926.92022
Chaplain, M. A. J.; Kuznetsov, V. A.; James, Z. H.; Stepanova, L. A.
1998
The computer-aided study of dynamics in the system primary tumor, cytotoxic lymphocytes, metastases. Zbl 0841.92014
Kuznetsov, V. A.; Alekseeva, E. I.
1996
Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis. Zbl 0789.92019
Kuznetsov, Vladimir A.; Makalkin, Iliya A.; Taylor, Mark A.; Perelson, Alan S.
1994
Mathematical modeling of the development of dormant tumors and immune stimulation of their growth. Zbl 0673.92003
Kuznetsov, V. A.
1987
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#### Cited by 524 Authors

 9 Khajanchi, Subhas 8 Bunimovich-Mendrazitsky, Svetlana 8 d’Onofrio, Alberto 6 Banerjee, Sandip 6 Chaplain, Mark A. J. 6 Cheke, Robert A. 6 Malinzi, Joseph 5 Dong, Yueping 5 Ledzewicz, Urszula 5 López, Álvaro G. 5 Sanjuán, Miguel A. F. 5 Schättler, Heinz Michael 5 Seoane, Jesús M. 5 Takeuchi, Yasuhiro 4 Kassara, Khalid 4 Rihan, Fathalla A. 4 Sardanyés, Josep 4 Sibanda, Precious 4 Tan, Yuanshun 4 Tang, Biao 4 Wei, Hsiu-Chuan 4 Xiao, Yanni 4 Yang, Jin 3 Bi, Ping 3 Byrne, Helen Mary 3 de Pillis, L. G. 3 Duarte, Jorge 3 Eladdadi, Amina 3 Foryś, Urszula 3 Jang, Sophia R.-J. 3 Januário, Cristina 3 Kartal, Senol 3 Kuang, Yang 3 Kuznetsov, Vladimir A. 3 Levy, Doron 3 Liu, Zijian 3 Mambili-Mamboundou, Hermane 3 Moore, Helen 3 Ozturk, Ilhan 3 Pang, Liuyong 3 Raïssi, Nadia 3 Sabir, Soukaina 3 Wu, Jianhong 3 Xu, Jianxin 3 Yafia, Radouane 3 Zhang, Xinan 3 Zhao, Zhong 2 Abdeen, Mostafa A. M. 2 Agrawal, Tanuja 2 Ahn, Inkyung 2 Amini, Behrooz 2 Andersen, Morten 2 Arabameri, Abazar 2 Arshad, Sadia 2 Asemani, Davud 2 Balcı, Ercan 2 Bhattacharyya, Rakhi 2 Bodnar, Marek 2 Bramson, Jonathan L. 2 Bratus, Alexander S. 2 Burić, Nikola I. 2 Caravagna, Giulio 2 Cattani, Carlo 2 Cho, Giphil 2 Ciancio, Armando 2 Das, Parthasakha 2 Das, Pritha 2 Das, Samhita 2 Delitala, Marcello 2 Depillis, Lisette 2 Earn, David J. D. 2 Eftimie, Raluca 2 Elmouki, Ilias 2 Ferraro, Mario 2 Fister, K. Renee 2 Ghosh, Dibakar 2 Gu, Weiqing 2 Hajati, Jamshid 2 He, Danhua 2 Head, Tiffany 2 Hillen, Thomas 2 Hu, Xiaochuan 2 Huang, Gang 2 Javed, Sana 2 Jia, Yunfeng 2 Jung, Il Hyo 2 Kim, Kwangsu 2 Knott, Gary D. 2 Ko, Wonlyul 2 Lakshmanan, Shanmugam 2 Li, Dongxi 2 Li, Xuefang 2 Lolas, Georgios 2 Lorenzi, Tommaso 2 Macfarlane, Fiona R. 2 Mahasa, Khaphetsi Joseph 2 Maples, Kenny 2 Miyazaki, Rinko 2 Mukhopadhyay, Banibrata 2 Murugan, Anand ...and 424 more Authors
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#### Cited in 64 Serials

 32 Journal of Theoretical Biology 18 Mathematical Biosciences 16 Bulletin of Mathematical Biology 15 Applied Mathematics and Computation 12 Mathematical and Computer Modelling 11 Chaos, Solitons and Fractals 10 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 9 Discrete and Continuous Dynamical Systems. Series B 8 Journal of Mathematical Biology 8 Journal of Biological Systems 8 Computational & Mathematical Methods in Medicine 7 Mathematical Modelling of Natural Phenomena 7 International Journal of Biomathematics 6 Chaos 5 Mathematical Biosciences and Engineering 4 Applied Mathematical Modelling 4 Journal of Biological Dynamics 3 Computational and Applied Mathematics 3 Communications in Nonlinear Science and Numerical Simulation 3 Nonlinear Analysis. Real World Applications 3 Advances in Difference Equations 3 International Journal of Applied and Computational Mathematics 2 Journal of the Franklin Institute 2 Journal of Mathematical Analysis and Applications 2 Mathematical Methods in the Applied Sciences 2 Physica A 2 Biometrics 2 Journal of Optimization Theory and Applications 2 Mathematics and Computers in Simulation 2 Physica D 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Computational Statistics and Data Analysis 2 Mathematical Problems in Engineering 2 Functional Differential Equations 2 Abstract and Applied Analysis 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Journal of Applied Mathematics 2 Discrete and Continuous Dynamical Systems. Series S 1 Applicable Analysis 1 International Journal of Control 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Optimal Control Applications & Methods 1 Systems & Control Letters 1 Information and Computation 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Communications in Statistics. Simulation and Computation 1 SIAM Journal on Applied Mathematics 1 Journal of Computer and Systems Sciences International 1 Topological Methods in Nonlinear Analysis 1 Complexity 1 Journal of Mathematical Chemistry 1 Mathematical Population Studies 1 Journal of Vibration and Control 1 Differential Equations and Dynamical Systems 1 Fractional Calculus & Applied Analysis 1 Mathematical and Computer Modelling of Dynamical Systems 1 Discrete Dynamics in Nature and Society 1 International Journal of Applied Mathematics and Computer Science 1 International Journal of Computational Methods 1 Nonlinear Analysis. Hybrid Systems 1 Symmetry 1 Journal of Nonlinear Dynamics 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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#### Cited in 23 Fields

 245 Biology and other natural sciences (92-XX) 97 Ordinary differential equations (34-XX) 42 Dynamical systems and ergodic theory (37-XX) 29 Partial differential equations (35-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 23 Systems theory; control (93-XX) 18 Numerical analysis (65-XX) 16 Probability theory and stochastic processes (60-XX) 10 Statistics (62-XX) 7 Computer science (68-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Operator theory (47-XX) 3 Real functions (26-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX)