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Deng Q, Guo T, Qiu Z, Chen Y. A mathematical model for HIV dynamics with multiple infections: implications for immune escape. J Math Biol 2024; 89:6. [PMID: 38762831 DOI: 10.1007/s00285-024-02104-w] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/26/2023] [Revised: 12/15/2023] [Accepted: 04/25/2024] [Indexed: 05/20/2024]
Abstract
Multiple infections enable the recombination of different strains, which may contribute to viral diversity. How multiple infections affect the competition dynamics between the two types of strains, the wild and the immune escape mutant, remains poorly understood. This study develops a novel mathematical model that includes the two strains, two modes of viral infection, and multiple infections. For the representative double-infection case, the reproductive numbers are derived and global stabilities of equilibria are obtained via the Lyapunov direct method and theory of limiting systems. Numerical simulations indicate similar viral dynamics regardless of multiplicities of infections though the competition between the two strains would be the fiercest in the case of quadruple infections. Through sensitivity analysis, we evaluate the effect of parameters on the set-point viral loads in the presence and absence of multiple infections. The model with multiple infections predict that there exists a threshold for cytotoxic T lymphocytes (CTLs) to minimize the overall viral load. Weak or strong CTLs immune response can result in high overall viral load. If the strength of CTLs maintains at an intermediate level, the fitness cost of the mutant is likely to have a significant impact on the evolutionary dynamics of mutant viruses. We further investigate how multiple infections alter the viral dynamics during the combination antiretroviral therapy (cART). The results show that viral loads may be underestimated during cART if multiple-infection is not taken into account.
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Affiliation(s)
- Qi Deng
- School of Mathematics and Statistics, Nanjing University of Science and Technology, Nanjing, 210094, People's Republic of China
- Department of Mathematics, Wilfrid Laurier University, Waterloo, N2L 3C5, Canada
| | - Ting Guo
- Aliyun School of Big Data, Changzhou University, Changzhou, 213164, People's Republic of China
| | - Zhipeng Qiu
- School of Mathematics and Statistics, Nanjing University of Science and Technology, Nanjing, 210094, People's Republic of China
| | - Yuming Chen
- Department of Mathematics, Wilfrid Laurier University, Waterloo, N2L 3C5, Canada.
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2
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Lou E, Vérollet C, Winkler F, Zurzolo C, Valdebenito-Silva S, Eugenin E. Tunneling nanotubes and tumor microtubes-Emerging data on their roles in intercellular communication and pathophysiology: Summary of an International FASEB Catalyst Conference October 2023. FASEB J 2024; 38:e23514. [PMID: 38466151 DOI: 10.1096/fj.202302551] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/09/2023] [Accepted: 02/12/2024] [Indexed: 03/12/2024]
Abstract
In the past decade, there has been a steady rise in interest in studying novel cellular extensions and their potential roles in facilitating human diseases, including neurologic diseases, viral infectious diseases, cancer, and others. One of the exciting new aspects of this field is improved characterization and understanding of the functions and potential mechanisms of tunneling nanotubes (TNTs), which are actin-based filamentous protrusions that are structurally distinct from filopodia. TNTs form and connect cells at long distance and serve as direct conduits for intercellular communication in a wide range of cell types in vitro and in vivo. More researchers are entering this field and investigating the role of TNTs in mediating cancer cell invasion and drug resistance, cellular transfer of proteins, RNA or organelles, and intercellular spread of infectious agents, such as viruses, bacteria, and prions. Even further, the elucidation of highly functional membrane tubes called "tumor microtubes" (TMs) in incurable gliomas has further paved a new path for understanding how and why the tumor type is highly invasive at the cellular level and also resistant to standard therapies. Due to the wide-ranging and rapidly growing applicability of TNTs and TMs in pathophysiology across the spectrum of biology, it has become vital to bring researchers in the field together to discuss advances and the future of research in this important niche of protrusion biology.
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Affiliation(s)
- Emil Lou
- Division of Hematology, Oncology, and Transplantation, Department of Medicine, University of Minnesota, Minneapolis, Minnesota, USA
| | - Christel Vérollet
- Institut de Pharmacologie et Biologie Structurale (IPBS), Université de Toulouse, Centre National de la Recherche Scientifique, Université Toulouse III - Paul Sabatier (UPS), Toulouse, France
- International Research Laboratory (IRP) CNRS "IM-TB/HIV", Toulouse, France
- International Research Laboratory (IRP) CNRS "IM-TB/HIV", Buenos Aires, Argentina
| | - Frank Winkler
- Neurology Clinic and National Center for Tumor Diseases, University Hospital Heidelberg, Heidelberg, Germany
- Clinical Cooperation Unit Neurooncology, German Cancer Consortium (DKTK), German Cancer Research Center (DKFZ), Heidelberg, Germany
| | - Chiara Zurzolo
- Institut Pasteur, Université Paris Cité, CNRS UMR 3691, Membrane Traffic and Pathogenesis, Paris, France
- Department of Molecular Medicine and Medical Biotechnology, University of Naples Federico II, Naples, Italy
| | | | - Eliseo Eugenin
- Department of Neurobiology, The University of Texas Medical Branch (UTMB), Galveston, Texas, USA
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Valdebenito S, Ono A, Rong L, Eugenin EA. The role of tunneling nanotubes during early stages of HIV infection and reactivation: implications in HIV cure. NEUROIMMUNE PHARMACOLOGY AND THERAPEUTICS 2023; 2:169-186. [PMID: 37476291 PMCID: PMC10355284 DOI: 10.1515/nipt-2022-0015] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 11/04/2022] [Accepted: 11/30/2022] [Indexed: 07/22/2023]
Abstract
Tunneling nanotubes (TNTs), also called cytonemes or tumor microtubes, correspond to cellular processes that enable long-range communication. TNTs are plasma membrane extensions that form tubular processes that connect the cytoplasm of two or more cells. TNTs are mostly expressed during the early stages of development and poorly expressed in adulthood. However, in disease conditions such as stroke, cancer, and viral infections such as HIV, TNTs proliferate, but their role is poorly understood. TNTs function has been associated with signaling coordination, organelle sharing, and the transfer of infectious agents such as HIV. Here, we describe the critical role and function of TNTs during HIV infection and reactivation, as well as the use of TNTs for cure strategies.
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Affiliation(s)
- Silvana Valdebenito
- Department of Neurobiology, University of Texas Medical Branch (UTMB), Galveston, TX, USA
| | - Akira Ono
- Department of Microbiology & Immunology, University of Michigan Medical School, Ann Arbor, MI, USA
| | - Libin Rong
- Department of Mathematics, University of Florida, Gainesville, FL, USA
| | - Eliseo A. Eugenin
- Department of Neurobiology, University of Texas Medical Branch (UTMB), Galveston, TX, USA
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Rong SY, Guo T, Smith JT, Wang X. The role of cell-to-cell transmission in HIV infection: insights from a mathematical modeling approach. MATHEMATICAL BIOSCIENCES AND ENGINEERING : MBE 2023; 20:12093-12117. [PMID: 37501434 DOI: 10.3934/mbe.2023538] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 07/29/2023]
Abstract
HIV infection remains a serious global public health problem. Although current drug treatment is effective and can reduce plasma viral loads below the level of detection, it cannot eradicate the virus. The reasons for the low virus persistence despite long-term therapy have not been fully elucidated. In addition, multiple HIV infection, i.e., infection of a cell by multiple viruses, is common and can facilitate viral recombination and mutations, evading the immune system and conferring resistance to drug treatment. The mechanisms for multiple HIV infection formation and their respective contributions remain unclear. To answer these questions, we developed a mathematical modeling framework that encompasses cell-free viral infection and cell-to-cell spread. We fit sub-models that only have one transmission route and the full model containing both to the multi-infection data from HIV-infected patients, and show that the multi-infection data can only be reproduced if these two transmission routes are both considered. Computer simulations with the best-fitting parameter values indicate that cell-to-cell spread leads to the majority of multiple infection and also accounts for the majority of overall infection. Sensitivity analysis shows that cell-to-cell spread has reduced susceptibility to treatment and may explain low HIV persistence. Taken together, this work indicates that cell-to-cell spread plays a crucial role in the development of HIV multi-infection and low HIV persistence despite long-term therapy, and therefore has important implications for understanding HIV pathogenesis and developing more effective treatment strategies to control or even eliminate the disease.
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Affiliation(s)
| | - Ting Guo
- Aliyun School of Big Data, Changzhou University, Changzhou 213164, China
- Department of Mathematics, University of Florida, Gainesville, FL 32611, USA
| | - J Tyler Smith
- Department of Mathematics, University of Florida, Gainesville, FL 32611, USA
| | - Xia Wang
- School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, China
- Department of Mathematics, University of Florida, Gainesville, FL 32611, USA
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Guo T, Deng Q, Qiu Z, Rong L. HIV infection dynamics and viral rebound: Modeling results from humanized mice. J Theor Biol 2023; 567:111490. [PMID: 37054969 DOI: 10.1016/j.jtbi.2023.111490] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/12/2022] [Revised: 03/22/2023] [Accepted: 04/05/2023] [Indexed: 04/15/2023]
Abstract
Despite years of combined antiretroviral therapy (cART), HIV persists in infected individuals. The virus also rebounds after the cessation of cART. The sources contributing to viral persistence and rebound are not fully understood. When viral rebound occurs, what affects the time to rebound and how to delay the rebound remain unclear. In this paper, we started with the data fitting of an HIV infection model to the viral load data in treated and untreated humanized myeloid-only mice (MoM) in which macrophages serve as the target of HIV infection. By fixing the parameter values for macrophages from the MoM fitting, we fit a mathematical model including the infection of two target cell populations to the viral load data from humanized bone marrow/liver/thymus (BLT) mice, in which both CD4+ T cells and macrophages are the target of HIV infection. Data fitting suggests that the viral load decay in BLT mice under treatment has three phases. The loss of infected CD4+ T cells and macrophages is a major contributor to the first two phases of viral decay, and the last phase may be due to the latent infection of CD4+ T cells. Numerical simulations using parameter estimates from the data fitting show that the pre-ART viral load and the latent reservoir size at treatment cessation can affect viral growth rate and predict the time to viral rebound. Model simulations further reveal that early and prolonged cART can delay the viral rebound after cessation of treatment, which may have implications in the search for functional control of HIV infection.
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Affiliation(s)
- Ting Guo
- Aliyun School of Big Data, Changzhou University, Changzhou, 213164, China
| | - Qi Deng
- School of Science, Nanjing University of Science and Technology, Nanjing 210094, China
| | - Zhipeng Qiu
- Center for Basic Teaching and Experiment, Nanjing University of Science and Technology, Jiangyin 214443, China
| | - Libin Rong
- Department of Mathematics, University of Florida, Gainesville, FL 32611, USA.
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Xu J. Dynamic analysis of a cytokine-enhanced viral infection model with infection age. MATHEMATICAL BIOSCIENCES AND ENGINEERING : MBE 2023; 20:8666-8684. [PMID: 37161216 DOI: 10.3934/mbe.2023380] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/11/2023]
Abstract
Recent studies reveal that pyroptosis is associated with the release of inflammatory cytokines which can attract more target cells to be infected. In this paper, a novel age-structured virus infection model incorporating cytokine-enhanced infection is investigated. The asymptotic smoothness of the semiflow is studied. With the help of characteristic equations and Lyapunov functionals, we have proved that both the local and global stabilities of the equilibria are completely determined by the threshold $ \mathcal{R}_0 $. The result shows that cytokine-enhanced viral infection also contributes to the basic reproduction number $ \mathcal{R}_0 $, implying that it may not be enough to eliminate the infection by decreasing the basic reproduction number of the model without considering the cytokine-enhanced viral infection mode. Numerical simulations are carried out to illustrate the theoretical results.
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Affiliation(s)
- Jinhu Xu
- School of Sciences, Xi'an University of Technology, Xi'an 710048, China
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Towards a new combination therapy with vectored immunoprophylaxis for HIV: Modeling "shock and kill" strategy. Math Biosci 2023; 355:108954. [PMID: 36525996 DOI: 10.1016/j.mbs.2022.108954] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/15/2022] [Revised: 09/23/2022] [Accepted: 12/06/2022] [Indexed: 12/15/2022]
Abstract
Latently infected cells are considered as a major barrier to curing Human Immunodeficiency Virus (HIV) infection. Reactivation of latently infected cells followed by killing the actively infected cells may be a potential strategy ("shock and kill") to purge the latent reservoir. Based on vectored immunoprophylaxis (VIP) experiment that can elicit bNAbs, in this paper a mathematical model is formulated to explore the efficacy of "shock and kill" strategy with VIP. We derive the basic reproduction number R0 of the model and show that R0 completely determines the dynamics of the model: if R0<1, the disease-free equilibrium is globally asymptotically stable; if R0>1, the system is uniformly persistent. Numerical simulations suggest that the "shock and kill" strategy with VIP can effectively control HIV infection while this strategy cannot eradicate the reservoir without VIP although it can alleviate the HIV infection. To model the administration of drugs and vaccine more realistically, pharmacokinetics and pulse vaccination are incorporated into the model of ordinary differential equations. The resultants are described by impulsive differential equations. The thresholds are obtained for the frequency and strength of the vaccination to eliminate the viruses. Furthermore, the most appropriate times are numerically investigated for starting a short-term latency-reversing agents (LRAs) treatment relative to ART considering the toxicity of LRAs. The results show that LRAs treatment at the beginning of ART might be a better option. These results have important implications for the design of HIV cure-related clinical trials.
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Lee TJ, Vazquez JA, Rao ASRS. Mathematical modeling of impact of eCD4-Ig molecule in control and management of HIV within a host. MATHEMATICAL BIOSCIENCES AND ENGINEERING : MBE 2021; 18:6887-6906. [PMID: 34517562 DOI: 10.3934/mbe.2021342] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/13/2023]
Abstract
Eradication and eventually cure of the HIV virus from the infected individual should be the primary goal in all HIV therapy. This has yet to be achieved, however development of broadly neutralizing antibodies (bNabs) and eCD4-Ig and its related particles are promising therapeutic alternatives to eliminate the HIV virus from the host. Past studies have found superior protectivity and efficacy eradicating the HIV virus with the use of eCD4-Igs over bNabs, which has proposed the antibody-dependent cell-mediated cytotoxicity (ADCC) effect as one of the key-factors for antibody design. In this study, we evaluated the dynamics of the HIV virus, CD4 T-cells, and eCD4-Ig in humans using a gene-therapy approach which has been evaluated in primates previously. We utilized a mathematical model to investigate the relationship between eCD4-Ig levels, ADCC effects, and the neutralization effect on HIV elimination. In addition, a balance between ADCC and viral neutralization effect of eCD4-Ig has been investigated in order to understand the condition of which HIV eliminating antibodies needs to satisfy. Our analysis indicated some level of ADCC effect, which was missing from ART, was required for viral elimination. The results will be helpful in designing future drugs or therapeutic strategies.
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Affiliation(s)
- Tae Jin Lee
- Center for Biotechnology and Genomic Medicine, Medical College of Georgia, Augusta University, 1120 15th Street, Augusta, GA 30912, USA
| | - Jose A Vazquez
- Division of Infectious Diseases, Department of Medicine, Medical College of Georgia, Augusta University, 1120 15th Street, Augusta, GA 30912, USA
| | - Arni S R Srinivasa Rao
- Division of Infectious Diseases, Department of Medicine, Medical College of Georgia, Augusta University, 1120 15th Street, Augusta, GA 30912, USA
- Laboratory for Theory and Mathematical Modeling, Division of Infectious Diseases, Department of Medicine, Medical College of Georgia, Augusta University, 1120 15th Street, Augusta, GA 30912, USA
- Department of Mathematics, Augusta University, 1120 15th Street, Augusta, GA 30912, USA
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