An autowave model of the bifurcation behavior of transformed cells in response to polysaccharide

Generalov, E. A.; Левашова, Н. Т.; Sidorova, A. E.; Chumakov, P. M.; Yakovenko, L. V.

doi:10.1134/s0006350917050086

Cited by 14 publications

(6 citation statements)

References 15 publications

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“…При участии Dectin-1 и TLR-6 происходит не только увеличение выработки цитокинов, но и активация макрофагов, нейтрофилов, моноцитов, Т-клеток и дендритных клеток, что, в конечном итоге, приводит к повышенной противомикробной и противовирусной активности этих клеток, что и было обнаружено в опыте по противовирусной активности HTLP [92].…”

Section: генералов и дрunclassified

Molecular basis of biological activity of polysaccharides in COVID-19 associated conditions

et al. 2022

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The review considers the main molecular biological features of the COVID-19 causative agent, the SARS-CoV-2 virus: life cycle, viral cell penetration strategies, interactions of viral proteins with human proteins, cytopathic effects. We also analyze pathological conditions that occur both during the course of the COVID-19 disease and after virus elimination. A brief review of the biological activities of polysaccharides isolated from various sources is given, and possible molecular biological mechanisms of these activities are considered. Data analysis shows that polysaccharides are a class of biological molecules with wide potential for use in the treatment of both acute conditions in COVID-19 and post-COVID syndrome.

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Section: генералов и дрunclassified

Molecular basis of biological activity of polysaccharides in COVID-19 associated conditions

et al. 2022

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“…This paper discusses the inverse problem of numerical recovering of the initial condition for a nonlinear singularly perturbed reaction-diffusion-advection equation with data on the position of a reaction front, measured in an experiment with a delay relative to the initial time. Problems for equations of this type arise in gas dynamics [1], chemical kinetics [2][3][4][5][6], nonlinear wave theory [7], biophysics [8][9][10][11][12], medicine [13][14][15][16], ecology [17][18][19] and other fields of science [20]. A feature of this type of problem is the presence of multiscale processes.…”

Section: Introductionmentioning

confidence: 99%

Inverse Problem of Recovering the Initial Condition for a Nonlinear Equation of the Reaction–Diffusion–Advection Type by Data Given on the Position of a Reaction Front with a Time Delay

et al. 2021

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In this paper, approaches to the numerical recovering of the initial condition in the inverse problem for a nonlinear singularly perturbed reaction–diffusion–advection equation are considered. The feature of the formulation of the inverse problem is the use of additional information about the value of the solution of the equation at the known position of a reaction front, measured experimentally with a delay relative to the initial moment of time. In this case, for the numerical solution of the inverse problem, the gradient method of minimizing the cost functional is applied. In the case when only the position of the reaction front is known, the method of deep machine learning is applied. Numerical experiments demonstrated the possibility of solving such kinds of considered inverse problems.

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“…Problems for nonlinear singularly perturbed reaction-diffusion-advection equations arise in gas dynamics [1], combustion theory [2], chemical kinetics [3][4][5][6][7][8][9][10], nonlinear wave theory [11], biophysics [12][13][14][15][16], medicine [17][18][19][20], ecology [21][22][23][24][25], finance [26] and other fields of science [27]. A specific feature of problems of this type is the presence of processes of different scales.…”

Section: Introductionmentioning

confidence: 99%

Inverse Problem for an Equation of the Reaction-Diffusion-Advection Type with Data on the Position of a Reaction Front: Features of the Solution in the Case of a Nonlinear Integral Equation in a Reduced Statement

et al. 2021

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The paper considers the features of numerical reconstruction of the advection coefficient when solving the coefficient inverse problem for a nonlinear singularly perturbed equation of the reaction-diffusion-advection type. Information on the position of a reaction front is used as data of the inverse problem. An important question arises: is it possible to obtain a mathematical connection between the unknown coefficient and the data of the inverse problem? The methods of asymptotic analysis of the direct problem help to solve this question. But the reduced statement of the inverse problem obtained by the methods of asymptotic analysis contains a nonlinear integral equation for the unknown coefficient. The features of its solution are discussed. Numerical experiments demonstrate the possibility of solving problems of such class using the proposed methods.

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An autowave model of the bifurcation behavior of transformed cells in response to polysaccharide

Cited by 14 publications

References 15 publications

Molecular basis of biological activity of polysaccharides in COVID-19 associated conditions

Molecular basis of biological activity of polysaccharides in COVID-19 associated conditions

Inverse Problem of Recovering the Initial Condition for a Nonlinear Equation of the Reaction–Diffusion–Advection Type by Data Given on the Position of a Reaction Front with a Time Delay

Inverse Problem for an Equation of the Reaction-Diffusion-Advection Type with Data on the Position of a Reaction Front: Features of the Solution in the Case of a Nonlinear Integral Equation in a Reduced Statement

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