4.7 Article

Effect of Impaired B-Cell and CTL Functions on HIV-1 Dynamics

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Mathematics, Applied

Spatial dynamics of a viral infection model with immune response and nonlinear incidence

Tingting Zheng et al.

Summary: In this study, a viral dynamics model in heterogeneous environments is investigated, incorporating humoral immunity, cell-to-cell transmission, and degenerated diffusion. The well-posedness of the model is discussed, and the reproduction number R-0 for virus infection is calculated. Various properties of R-0 are obtained using the Kuratowski measure of noncompactness and the principle eigenvalue. The global dynamics of virus infection and the antibody response reproduction number R-(similar to) of the model are analyzed, and sufficient conditions for the global asymptotic stability of different infection steady states are obtained.

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (2023)

Article Mathematics, Applied

Steady-state bifurcation of FHN-type oscillator on a square domain

Chunrui Zhang et al.

Summary: This paper provides an explicit calculation formula for the normal forms of simple and double Turing bifurcations of reaction-diffusion equations defined on a square space, using the FHN model as an example. It also presents a method for determining the existence of spatially inhomogeneous steady-state solutions. The findings of this study offer a theoretical basis for understanding and predicting pattern formation in spatial multimode interactions.

NONLINEAR ANALYSIS-MODELLING AND CONTROL (2023)

Article Computer Science, Interdisciplinary Applications

Dynamic analysis of HIV model with a general incidence, CTLs immune response and intracellular delays

Chong Chen et al.

Summary: This study considers an HIV model with a general incidence, CTLs immune response, and intracellular delays. It is shown that the reproductive number R0 serves as a threshold for determining the global dynamics, regardless of the presence of time delay, using Lyapunov functions and LaSalle's invariance principle. Numerical simulations support these theoretical results. To effectively control the spread of HIV, a multi-pathways HIV-1 infection model without time delay is analyzed with three controls. Pontryagin's Maximum Principle provides the necessary conditions for optimal control, and the optimality system is numerically solved using the Euler procedure. Finally, numerical simulation demonstrates the role of the best treatment in controlling the severity of HIV.

MATHEMATICS AND COMPUTERS IN SIMULATION (2023)

Article Mathematics, Applied

Mathematical analysis of a delayed HIV infection model with saturated CTL immune response and immune impairment

Yan Yang et al.

Summary: In this study, an HIV infection model incorporating multiple factors is developed, and important conclusions regarding immune response and reproduction ratios are derived through analysis of model solutions and stability. The crucial role of immune status in determining the system dynamics is demonstrated, and parameter sensitivity analysis is conducted to illustrate the impact of parameter values on the system's thresholds.

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING (2022)

Article Physics, Multidisciplinary

Dynamical demeanour of SARS-CoV-2 virus undergoing immune response mechanism in COVID-19 pandemic

Jayanta Mondal et al.

Summary: COVID-19 is caused by an increase in the viral load of SARS-CoV-2 in the respiratory system. The infection primarily targets epithelial cells in the lower respiratory tract. Strong immune responses can lead to longer recovery times and less severe complications. A mathematical model was proposed to study the relationship between viral infection, immune response, and recovery.

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS (2022)

Article Mathematics, Applied

Modeling the cell-to-cell transmission dynamics of viral infection under the exposure of non-cytolytic cure

Mausumi Dhar et al.

Summary: High cell-to-cell infection rate leads to chronic infection in the host, while high non-cytolytic cure rate contributes to reducing viral load. A moderate cure rate under weak cell-to-cell transmission effectively reduces the level of infection.

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING (2021)

Article Mathematics, Applied

GLOBAL PROPERTIES OF A VIRUS DYNAMICS MODEL WITH SELF-PROLIFERATION OF CTLS

Cuicui Jiang et al.

Summary: A viral infection model with self-proliferation of cytotoxic T lymphocytes (CTLs) was proposed and its global dynamics were obtained. The study showed that an increase in the per capita self-proliferation rate of CTLs may lead to more severe infection outcomes, which could provide insights into the failure of immune therapy.

MATHEMATICS IN APPLIED SCIENCES AND ENGINEERING (2021)

Article Mathematics, Applied

VIRAL DYNAMICS OF HIV-1 WITH CTL IMMUNE RESPONSE

Aiping Wang et al.

Summary: This paper investigates an in-host model for the viral dynamics of HIV-1 infection and its interaction with the CTL immune response. Numerical simulations are used to study the impacts of key parameter values for CTL functions and viral budding rate on the HIV-1 viral load and CD4 count, supporting clinical evidence for differences between HIV-1 nonprogressors and progressors. The model is general enough to allow nonlinear forms for both viral infection and CTL response, with threshold parameters identified to determine the global dynamics and outcomes of the virus-target cell-CTL interactions.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B (2021)

Article Mathematics, Applied

Stability of general pathogen dynamic models with two types of infectious transmission with immune impairment

B. S. Alofi et al.

Summary: This paper investigates the global properties of two general models of pathogen infection with immune deficiency. By establishing Lyapunov functions, the global asymptotic stability for uninfected and infected steady states of the models is proven, and the relationship between the basic reproduction number and global asymptotic stability is established. Numerical simulations support the analytical results.

AIMS MATHEMATICS (2021)

Article Mathematics, Interdisciplinary Applications

Impact of B-cell impairment on virus dynamics with time delay and two modes of transmission

Ahmed M. Elaiw et al.

CHAOS SOLITONS & FRACTALS (2020)

Article Biology

GLOBAL PROPERTIES OF HIV DYNAMICS MODELS INCLUDING IMPAIRMENT OF B-CELL FUNCTIONS

A. M. Elaiw et al.

JOURNAL OF BIOLOGICAL SYSTEMS (2020)

Article Mathematics, Applied

Global stability of delay-distributed viral infection model with two modes of viral transmission and B-cell impairment

A. M. Elaiw et al.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2020)

Article Mathematics, Applied

Global analysis of a diffusive viral model with cell-to-cell infection and incubation period

Wei Wang et al.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2020)

Article Mathematics, Applied

Global stability of a delayed adaptive immunity viral infection with two routes of infection and multi-stages of infected cells

A. M. Elaiw et al.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2020)

Article Mathematical & Computational Biology

Global stability of an HIV infection model with saturated CTL immune response and intracellular delay

Jian Ren et al.

MATHEMATICAL BIOSCIENCES AND ENGINEERING (2020)

Article Mathematical & Computational Biology

Hopf bifurcation of an HIV-1 virus model with two delays and logistic growth*

Caixia Sun et al.

MATHEMATICAL MODELLING OF NATURAL PHENOMENA (2020)

Article Mathematics, Applied

Global stability for an age-structured multistrain virus dynamics model with humoral immunity

Tsuyoshi Kajiwara et al.

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING (2020)

Article Mathematics, Applied

Global dynamics of a reaction-diffusion virus infection model with humoral immunity and nonlinear incidence

Sitian Tang et al.

COMPUTERS & MATHEMATICS WITH APPLICATIONS (2019)

Article Mathematics, Interdisciplinary Applications

Dynamical Analysis of Multipathways and Multidelays of General Virus Dynamics Model

Angel G. Cervantes-Perez et al.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2019)

Article Physics, Multidisciplinary

Analysis of a diffusive virus infection model with humoral immunity, cell-to-cell transmission and nonlinear incidence

Yantao Luo et al.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2019)

Article Mathematical & Computational Biology

Threshold dynamics of an HIV-1 model with both viral and cellular infections, cell-mediated and humoral immune responses

Jiazhe Lin et al.

MATHEMATICAL BIOSCIENCES AND ENGINEERING (2019)

Article Mathematics, Interdisciplinary Applications

Dynamical analysis of a delayed reaction-diffusion virus infection model with logistic growth and humoral immune impairment

Hui Miao et al.

CHAOS SOLITONS & FRACTALS (2018)

Article Computer Science, Interdisciplinary Applications

Modeling the role of acquired immune response and antiretroviral therapy in the dynamics of HIV infection

Preeti Dubey et al.

MATHEMATICS AND COMPUTERS IN SIMULATION (2018)

Article Biology

EFFECTS OF ECLIPSE PHASE AND DELAY ON THE DYNAMICS OF HIV INFECTION

Saroj Kumar Sahani et al.

JOURNAL OF BIOLOGICAL SYSTEMS (2018)

Article Mathematics, Interdisciplinary Applications

Modeling the Adaptive Immunity and Both Modes of Transmission in HIV Infection

Khalid Hattaf et al.

COMPUTATION (2018)

Article Mathematics, Applied

Modeling and bifurcation analysis of a viral infection with time delay and immune impairment

P. Krishnapriya et al.

JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS (2017)

Article Chemistry, Multidisciplinary

Global Analysis for an HIV Infection Model with CTL Immune Response and Infected Cells in Eclipse Phase

Karam Allali et al.

APPLIED SCIENCES-BASEL (2017)

Article Mathematics, Applied

Analysis of time delay in viral infection model with immune impairment

P. Krishnapriya et al.

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING (2017)

Article Mathematics, Applied

Global stability of humoral immunity virus dynamics models with nonlinear infection rate and removal

A. M. Elaiw et al.

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS (2015)

Article Engineering, Multidisciplinary

Dynamics analysis of a delayed viral infection model with logistic growth and immune impairment

Zhixing Hu et al.

APPLIED MATHEMATICAL MODELLING (2014)

Article Mathematics, Applied

Global stability for an HIV-1 infection model with Beddington-DeAngelis incidence rate and CTL immune response

Cuifang Lv et al.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2014)

Article Engineering, Multidisciplinary

Global stability of in-host viral models with humoral immunity and intracellular delays

Shifei Wang et al.

APPLIED MATHEMATICAL MODELLING (2012)

Article Engineering, Multidisciplinary

Dynamics analysis of a delayed viral infection model with immune impairment

Shaoli Wang et al.

APPLIED MATHEMATICAL MODELLING (2011)

Review Mathematics, Applied

On Identifiability of Nonlinear ODE Models and Applications in Viral Dynamics

Hongyu Miao et al.

SIAM REVIEW (2011)

Article Immunology

Cell-to-cell HIV-1 spread and its implications for immune evasion

Nicola Martin et al.

CURRENT OPINION IN HIV AND AIDS (2009)

Article Biology

Parameter identifiability and estimation of HIV/AIDS dynamic models

Hulin Wu et al.

BULLETIN OF MATHEMATICAL BIOLOGY (2008)

Article Biology

A chronic viral infection model with immune impairment

Zhiping Wang et al.

JOURNAL OF THEORETICAL BIOLOGY (2007)

Article Biology

Human immunodeficiency virus evolution towards reduced replicative fitness in vivo and the development of AIDS

Dominik Wodarz et al.

PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES (2007)

Article Biology

Stability analysis of pathogen-immune interaction dynamics

A Murase et al.

JOURNAL OF MATHEMATICAL BIOLOGY (2005)

Article Biotechnology & Applied Microbiology

Hepatitis C virus dynamics and pathology: the role of CTL and antibody responses

D Wodarz

JOURNAL OF GENERAL VIROLOGY (2003)

Article Biology

Modeling plasma virus concentration during primary HIV infection

MA Stafford et al.

JOURNAL OF THEORETICAL BIOLOGY (2000)

Article Immunology

The role of antigen-independent persistence of memory cytotoxic T lymphocytes

D Wodarz et al.

INTERNATIONAL IMMUNOLOGY (2000)