Zobrazeno 1 - 10
of 64
pro vyhledávání: '"Alexander S. Bratus"'
Publikováno v:
Mathematics, Vol 12, Iss 20, p 3291 (2024)
This paper presents a novel approach to modeling the repertoire of the immune system and its adaptation in response to the evolutionary dynamics of pathogens associated with their genetic variability. It is based on application of a dynamic programmi
Externí odkaz:
https://doaj.org/article/fbe637c12a3e4b35b0f65402b5e06238
Autor:
Alexander S. Bratus, Nicholas Leslie, Michail Chamo, Dmitry Grebennikov, Rostislav Savinkov, Gennady Bocharov, Daniil Yurchenko
Publikováno v:
Mathematics, Vol 10, Iss 19, p 3557 (2022)
Pancreatic cancer represents one of the difficult problems of contemporary medicine. The development of the illness evolves very slowly, happens in a specific place (stroma), and manifests clinically close to a final stage. Another feature of this pa
Externí odkaz:
https://doaj.org/article/8450090afe374780a13e4b854a9f4903
Publikováno v:
Trends in Biomathematics: Chaos and Control in Epidemics, Ecosystems, and Cells ISBN: 9783030732400
This chapter focuses on the extremal properties of replicator systems’ fitness landscapes. We discuss a mathematical interpretation of Fisher’s theorem of natural selection and analyze cases that lie beyond its predictions. For general replicator
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1cf6881d64d5999ab8ffe59b9b73faf9
https://doi.org/10.1007/978-3-030-73241-7_5
https://doi.org/10.1007/978-3-030-73241-7_5
A principle of evolutionary adaptation is applied to the Lotka--Volterra models, in particular to the food webs. We present a relatively simple computational algorithm of optimization with respect to a given criterion. This algorithm boils down to a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::34177779f361b8303fbaf73103853128
Publikováno v:
Journal of mathematical biology. 82(3)
In this paper, we discuss the fitness landscape evolution of permanent replicator systems using a hypothesis that the specific time of evolutionary adaptation of the system parameters is much slower than the time of internal evolutionary dynamics. In
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2c9d173bc554ba7ac73da1d9311be999
https://pubmed.ncbi.nlm.nih.gov/33544189
https://pubmed.ncbi.nlm.nih.gov/33544189
Consider a mathematical model of evolutionary adaptation of fitness landscape and mutation matrix as a reaction to population changes. As a basis, we use an open quasispecies model, which is modified to include explicit death flow. We assume that evo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ce2f419464126a923c2a785d5abfa08a
Publikováno v:
Trends in Biomathematics: Modeling Cells, Flows, Epidemics, and the Environment ISBN: 9783030463052
In this paper, we examine the process of fitness landscape evolution of permanent replicator systems. The central hypothesis of this study is that the specific time of the evolutionary adaptation of the system parameters is much slower than the time
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7052e8b7356b6abefe6956c711a453a7
https://doi.org/10.1007/978-3-030-46306-9_1
https://doi.org/10.1007/978-3-030-46306-9_1
Autor:
Sergei Drozhzhin, Alexander S. Bratus
Publikováno v:
Moscow University Computational Mathematics and Cybernetics. 42:133-137
Variations in elements of a replicator system are considered with the aim of increasing the adaptiveness mean value (mean fitness). To solve this problem, we propose an algorithm such that it is reduced to a linear programming problem at each step. A
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8704824f597cd337fcf485568058c291
https://doi.org/10.3103/s0278641918030044
https://doi.org/10.3103/s0278641918030044
Publikováno v:
Mathematical Biosciences
Mathematical Biosciences, Elsevier, 2017, 294, pp.110-119. ⟨10.1016/j.mbs.2017.10.011⟩
Mathematical Biosciences, 2017, 294, pp.110-119. ⟨10.1016/j.mbs.2017.10.011⟩
Mathematical Biosciences, Elsevier, 2017, 294, pp.110-119. ⟨10.1016/j.mbs.2017.10.011⟩
Mathematical Biosciences, 2017, 294, pp.110-119. ⟨10.1016/j.mbs.2017.10.011⟩
International audience; In this paper, we study a dynamic optimization problem for a general nonlinear mathematical model for therapy of a lethal form of cancer. The model describes how the populations of cancer and normal cells evolve under the infl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::34b196e73d3c63d0b657245084bb8f4a
https://doi.org/10.1016/j.mbs.2017.10.011
https://doi.org/10.1016/j.mbs.2017.10.011
Publikováno v:
Vehicle System Dynamics. 56:621-637
This paper discusses the initiative of implementing a GPU-based numerical algorithm for studying various phenomena associated with dynamics of a high-speed railway transport. The proposed n...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aced2eceb3203999f4b69106719ec404
https://doi.org/10.1080/00423114.2017.1397704
https://doi.org/10.1080/00423114.2017.1397704