A Model of Transport and Transformation of Biogenic Elements in the Coastal System and Its Numerical Implementation

Gushchin, V. A.; Сухинов, А. И.; Nikitina, A. V.; Chistyakov, A. E.; Semenyakina, Alena

doi:10.1134/s0965542518080092

Cited by 45 publications

(8 citation statements)

References 22 publications

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“…The majority of modern vaccines are evaluated by titers of antigen-specific antibodies in the serum or on mucous membranes after vaccination. However, the response rate of immune memory cells was found to be more important [87]. A bottleneck was noted in the function of the most efficient component of the immune system; i.e., the rate of T-cell migration to lymph nodes may be limited by the throughput capacity of venules with a high endothelium [88].…”

Section: Discussionmentioning

confidence: 99%

A Continuous Model of Three Scenarios of the Infection Process with Delayed Immune Response Factors

Perevaryukha

2021

BIOPHYSICS

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The course of an infection was modeled as a controlled nonlinear process. Understanding the substantial differences observed in the trajectory of the disease caused by the new coronavirus SARS-CoV-2 is of critical importance at the moment. Numerous factors have been considered to explain the fact that symptoms vary highly among different people and the infection transmission rate varies among local populations. Virus replication within the host cell and the development of an immune response to virus antigens in the body are two interdependent processes, which have aftereffects and depend on the preexisting states of the cell and virus populations. Different scenarios with the same input parameters are necessary to consider for modeling the properties of the states. The efficiency of the immune response is the most important factor, including the time it takes to develop defense responses from three levels of the immune system, which is a complex system of the body. A computational description of infection scenarios was proposed on the basis of a delay differential equation with two values of the time lag. In the new model, transitions between phases of infectious disease depend on the initial virus dose and the delayed immune response to infection. A variation in the dose of the virus and response time can lead to a transition from an acute phase of the disease with overt symptoms to a chronic phase or fatal outcome. Asymptomatic transmission of viral infection was calculated and described in the model as a situation where the virus is rapidly and efficiently suppressed after a short replication phase, while still persisting in the body in minor amounts. An analysis of the model behavior is consistent with the theory that the initial number of virions can affect the quality of the immune response. The reasons that high individual differences are observed in the trajectory of COVID-19 disease and the formation of types of the immune response to coronavirus are still poorly understood. Known trajectories of hepatitis C virus (HCV) infection were used as a basis for model scenarios.

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Section: Discussionmentioning

confidence: 99%

A Continuous Model of Three Scenarios of the Infection Process with Delayed Immune Response Factors

Perevaryukha

2021

BIOPHYSICS

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“…The following boundary conditions are used for the system of equations (1-6) [9][10][11]:  at the input:…”

Section: Fig 1 Expedition Researches On the «Deneb» 2017mentioning

confidence: 99%

Numerical Modeling of Hydrodynamic Processes in the Taganrog Bay of the Azov Sea

Chistyakov¹,

Filina²,

Litvinov³

2020

cmit-journal

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This paper covers the creation and numerical realization of proposed mathematical model of hydrodynamical processes in shallow water based on contemporary information technology and new computational methods that allow improve the prediction accuracy of the environmental situation using the example of the Taganrog Bay in the Azov Sea basin. The proposed mathematical hydrodynamics model takes into account surges, dynamically reconstructed geometry, elevation of the level and coastline, wind currents and friction against the bottom, Coriolis force, turbulent exchange, evaporation, river flow, deviation of the pressure field value from the hydrostatic approximation, the salinity and temperature impact. The discretization of the mathematical model of hydrodynamics was performed using the splitting schemes for physical processes. The constructed discrete analogs possess the properties of conservatism, stability, and convergence. Numerical algorithms are also proposed for solving the arising SLAEs that improve the accuracy of predictive modeling. The practical significance of this research is software implementation of the developed model and the determination of limits and prospects of its application. The experimental software development was based on a graphics accelerator for mathematical simulation the possible scenarios of shallow water ecosystems in consideration the environmental factors influence. The decomposition methods taking into account the CUDA architecture specifications were used at parallel implementation for computationally labors diffusion-convection problems.

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“…Using the developed SC, we researched the mechanism of suffocation areas in shallow waters [32]. Simulation results of possible scenarios for the development of the Azov Sea ecosystem (changes in the concentration of pelengas commercial fish) are given in Fig.…”

Section: Approximation Of the Biological Kinetics Problemmentioning

confidence: 99%

Mathematical modeling of nonlinear effects in dynamic of interacting plankton and fish populations of Azov Sea

Сухинов¹,

Sidoryakina²,

Nikitina³

et al. 2019

Computational Mathematics and Information Technologies

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Paper covers the research of nonlinear effects in population dynamics of the pelengas commercial fish of the Azov Sea at low and high size taking into account the Allee effect, competition for resources, taxis, catching, spatial distribution of biogenic matter and detritus based on a multispecies model of plankton and fish interaction. Discrete analogue of developed model problem of water ecology, included in a software complex, were calculated using schemes of second order of accuracy taking into account the partial filling of computational cells. The system of grid equations of large dimension, arising at discretization, has been solved on the basis of a two-layer variational type methodthe minimum corrections method having the maximum convergence rate. Effective parallel algorithms were developed for numerical implementation of biological kinetics problem and oriented on NVIDIA Tesla K80 graphics accelerator with the data storage format modification. Due to it, the reproduction processes of biogeocenose populations have been analyzed in real and accelerated time.

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A Model of Transport and Transformation of Biogenic Elements in the Coastal System and Its Numerical Implementation

Cited by 45 publications

References 22 publications

A Continuous Model of Three Scenarios of the Infection Process with Delayed Immune Response Factors

A Continuous Model of Three Scenarios of the Infection Process with Delayed Immune Response Factors

Numerical Modeling of Hydrodynamic Processes in the Taganrog Bay of the Azov Sea

Mathematical modeling of nonlinear effects in dynamic of interacting plankton and fish populations of Azov Sea

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