Stochastic modeling for dynamics of HIV-1 infection using cellular automata: A review

M Precharattana - Journal of bioinformatics and computational …, 2016 - World Scientific
Recently, the description of immune response by discrete models has emerged to play an
important role to study the problems in the area of human immunodeficiency virus type 1 …

[HTML][HTML] Dynamics of the HIV infection under antiretroviral therapy: A cellular automata approach

RER González, S Coutinho, RMZ dos Santos… - Physica A: Statistical …, 2013 - Elsevier
The dynamics of human immunodeficiency virus infection under antiretroviral therapy is
investigated using a cellular automata model where the effectiveness of each drug is self …

The 3-dimensional cellular automata for HIV infection

Y Mo, B Ren, W Yang, J Shuai - Physica A: Statistical Mechanics and its …, 2014 - Elsevier
The HIV infection dynamics is discussed in detail with a 3-dimensional cellular automata
model in this paper. The model can reproduce the three-phase development, ie, the acute …

[HTML][HTML] A model of partial differential equations for HIV propagation in lymph nodes

EBS Marinho, FS Bacelar, RFS Andrade - Physica A: Statistical Mechanics …, 2012 - Elsevier
A system of partial differential equations is used to model the dissemination of the Human
Immunodeficiency Virus (HIV) in CD4+ T cells within lymph nodes. Besides diffusion terms …

[HTML][HTML] Delay-induced bifurcations and chaos in a two-dimensional model for the immune response

JP Mendonca, I Gleria, ML Lyra - Physica A: Statistical Mechanics and its …, 2019 - Elsevier
We consider a two-dimensional dynamical system modeling the immune response to a
target population. We perform a detailed linear stability analysis to investigate possible …

Robustness of a cellular automata model for the HIV infection

PH Figueirêdo, S Coutinho, RMZ dos Santos - Physica A: Statistical …, 2008 - Elsevier
An investigation was conducted to study the robustness of the results obtained from the
cellular automata model which describes the spread of the HIV infection within lymphoid …

[HTML][HTML] Statistical behavior of time dynamics evolution of HIV infection

RER González, IAX Santos, MGP Nunes… - Physics Letters A, 2017 - Elsevier
We use the tools of the random matrix theory (RMT) to investigate the statistical behavior of
the evolution of human immunodeficiency virus (HIV) infection. By means of the nearest …

Dynamics of HIV Infection: An entropic–energetic view

RER González, PH Figueirêdo, S Coutinho - Physica A: Statistical …, 2020 - Elsevier
We propose a time-parametrized analogy between the thermodynamic behavior of a 3-level
energy system and the progression of the HIV infection described by the cell population …

HIV 感染–免疫动力学的元胞自动机模拟研究

莫有斌, 林海, 帅建伟 - Biophysics, 2014 - hanspub.org
自1981 年发现首例人类获得性免疫缺失综合症(艾滋病, AIDS) 至今已有30 多年,
然而人们至今未能找到治疗这种危及人类生命健康的可怕疾病的方法. 建立正确的艾滋病病毒 …

The dynamics of the HIV infection: a time-delay differential equation approach

FS Bacelar, RFS Andrade, RM Santos - arXiv preprint arXiv:1003.5992, 2010 - arxiv.org
In this work we introduce a differential equation model with time-delay that describes the
three-stage dynamics and the two time scales observed in HIV infection. Assuming that the …