Modeling of the HIV-1 life cycle in productively infected cells to predict novel therapeutic targets

O Shcherbatova, D Grebennikov, I Sazonov… - Pathogens, 2020 - mdpi.com
There are many studies that model the within-host population dynamics of Human
Immunodeficiency Virus Type 1 (HIV-1) infection. However, the within-infected-cell …

Global dynamics of an age–space structured hiv/aids model with viral load-dependent infection and conversion rates

P Wu, Z Feng, X Zhang - Journal of Computational and Applied …, 2022 - Elsevier
Distinguished from the existing HIV/AIDS epidemic models, we formulate a model by
considering three-age-structured, spacial diffusion, viral load-dependent infection and …

Markov chain-based stochastic modelling of HIV-1 life cycle in a CD4 T cell

I Sazonov, D Grebennikov, A Meyerhans, G Bocharov - Mathematics, 2021 - mdpi.com
Replication of Human Immunodeficiency Virus type 1 (HIV) in infected CD4+ T cells
represents a key driver of HIV infection. The HIV life cycle is characterised by the …

Modelling the dynamics of virus infection and immune response in space and time

G Bocharov, A Meyerhans, N Bessonov… - … Journal of Parallel …, 2019 - Taylor & Francis
Spreading of viral infection in the tissues such as lymph nodes or spleen depends on virus
multiplication in the host cells, their transport and on the immune response. Reaction …

Dynamical analysis and optimal control of an age-since infection HIV model at individuals and population levels

P Wu, Z He, A Khan - Applied Mathematical Modelling, 2022 - Elsevier
To study the impact of HIV infection at the individual level on the transmission of HIV/AIDS at
the population level, in this paper, we formulate a multi-scale HIV model coupled with a two …

Mathematical modeling reveals that the administration of EGF can promote the elimination of lymph node metastases by PD-1/PD-L1 blockade

MA Benchaib, A Bouchnita, V Volpert… - … in bioengineering and …, 2019 - frontiersin.org
In the advanced stages of cancers like melanoma, some of the malignant cells leave the
primary tumor and infiltrate the neighboring lymph nodes (LNs). The interaction between …

Mechanisms for Cell-to-cell and Cell-free Spread of HIV-1 in Cellular Automata Models

PJ Giabbanelli, C Freeman, JA Devita… - Proceedings of the …, 2019 - dl.acm.org
Several discrete simulation models have been created to study the spread of human
immunodeficiency virus type 1 (HIV-1) within a human body. This is motivated both by the …

Modelling stochastic and deterministic behaviours in virus infection dynamics

I Sazonov, D Grebennikov, M Kelbert… - … Modelling of Natural …, 2017 - mmnp-journal.org
Many human infections with viruses such as human immunodeficiency virus type 1 (HIV--1)
are characterized by low numbers of founder viruses for which the random effects and …

Mathematical immunology: from phenomenological to multiphysics modelling

GA Bocharov, DS Grebennikov… - Russian Journal of …, 2020 - degruyter.com
Mathematical immunology is the branch of mathematics dealing with the application of
mathematical methods and computational algorithms to explore the structure, dynamics …

Building a model and assessing the level of morbidity during the epidemic

A Kubegenova, A Gumarova… - … on Information and …, 2023 - ieeexplore.ieee.org
The article discusses the effectiveness, methods, and mathematical models of measures to
control the spread of the human immunodeficiency virus (HIV) in Kazakhstan. Data were …