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Hull-Nye D, Meadows T, Smith? SR, Schwartz EJ. Key Factors and Parameter Ranges for Immune Control of Equine Infectious Anemia Virus Infection. Viruses 2023; 15:v15030691. [PMID: 36992401 PMCID: PMC10058099 DOI: 10.3390/v15030691] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/14/2023] [Revised: 02/28/2023] [Accepted: 03/03/2023] [Indexed: 03/09/2023] Open
Abstract
Equine Infectious Anemia Virus (EIAV) is an important infection in equids, and its similarity to HIV creates hope for a potential vaccine. We analyze a within-host model of EIAV infection with antibody and cytotoxic T lymphocyte (CTL) responses. In this model, the stability of the biologically relevant endemic equilibrium, characterized by the coexistence of long-term antibody and CTL levels, relies upon a balance between CTL and antibody growth rates, which is needed to ensure persistent CTL levels. We determine the model parameter ranges at which CTL and antibody proliferation rates are simultaneously most influential in leading the system towards coexistence and can be used to derive a mathematical relationship between CTL and antibody production rates to explore the bifurcation curve that leads to coexistence. We employ Latin hypercube sampling and least squares to find the parameter ranges that equally divide the endemic and boundary equilibria. We then examine this relationship numerically via a local sensitivity analysis of the parameters. Our analysis is consistent with previous results showing that an intervention (such as a vaccine) intended to control a persistent viral infection with both immune responses should moderate the antibody response to allow for stimulation of the CTL response. Finally, we show that the CTL production rate can entirely determine the long-term outcome, regardless of the effect of other parameters, and we provide the conditions for this result in terms of the identified ranges for all model parameters.
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Affiliation(s)
- Dylan Hull-Nye
- Department of Mathematics, Washington State University, Pullman, WA 99164, USA
| | - Tyler Meadows
- Department of Mathematics and Statistics, Queen’s University, Kingston, ON K7L 3N6, Canada
| | - Stacey R. Smith?
- Department of Mathematics, Faculty of Medicine, The University of Ottawa, Ottawa, ON K1N 6N5, Canada
| | - Elissa J. Schwartz
- Department of Mathematics and Statistics, School of Biological Sciences, Washington State University, Pullman, WA 99164, USA
- Correspondence:
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Modelling Mutation in Equine Infectious Anemia Virus Infection Suggests a Path to Viral Clearance with Repeated Vaccination. Viruses 2021; 13:v13122450. [PMID: 34960718 PMCID: PMC8706554 DOI: 10.3390/v13122450] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/18/2021] [Revised: 12/01/2021] [Accepted: 12/02/2021] [Indexed: 11/20/2022] Open
Abstract
Equine infectious anemia virus (EIAV) is a lentivirus similar to HIV that infects horses. Clinical and experimental studies demonstrating immune control of EIAV infection hold promise for efforts to produce an HIV vaccine. Antibody infusions have been shown to block both wild-type and mutant virus infection, but the mutant sometimes escapes. Using these data, we develop a mathematical model that describes the interactions between antibodies and both wild-type and mutant virus populations, in the context of continual virus mutation. The aim of this work is to determine whether repeated vaccinations through antibody infusions can reduce both the wild-type and mutant strains of the virus below one viral particle, and if so, to examine the vaccination period and number of infusions that ensure eradication. The antibody infusions are modelled using impulsive differential equations, a technique that offers insight into repeated vaccination by approximating the time-to-peak by an instantaneous change. We use impulsive theory to determine the maximal vaccination intervals that would be required to reduce the wild-type and mutant virus levels below one particle per horse. We show that seven boosts of the antibody vaccine are sufficient to eradicate both the wild-type and the mutant strains. In the case of a mutant virus infection that is given infusions of antibodies targeting wild-type virus (i.e., simulation of a heterologous infection), seven infusions were likewise sufficient to eradicate infection, based upon the data set. However, if the period between infusions was sufficiently increased, both the wild-type and mutant virus would eventually persist in the form of a periodic orbit. These results suggest a route forward to design antibody-based vaccine strategies to control viruses subject to mutant escape.
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Schwartz EJ, Vaidya NK, Dorman KS, Carpenter S, Mealey RH. Dynamics of lentiviral infection in vivo in the absence of adaptive immune responses. Virology 2017; 513:108-113. [PMID: 29055819 DOI: 10.1016/j.virol.2017.09.023] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/08/2017] [Revised: 09/25/2017] [Accepted: 09/26/2017] [Indexed: 11/25/2022]
Abstract
Understanding the dynamics of acute viral infection is crucial for developing strategies to prevent and control infection. In this study, lentiviral dynamics in a host without adaptive immunity were examined in order to determine kinetic parameters of infection and quantify the effect of neutralizing antibodies in preventing infection, using mathematical modeling of data from equine infectious anemia virus (EIAV) infection of horses with severe combined immunodeficiency (SCID). Estimated parameters were used to calculate the basic reproductive number and virus doubling time and found that the rate that antibodies neutralized virus was ~18 times greater than the virus clearance rate. These results establish EIAV replication kinetics in SCID horses and the minimal efficacy of antibodies that blocked infection. Furthermore, they indicate that EIAV is at most mildly cytopathic. This study advances our understanding of EIAV infection and may have important implications for the control of other viral infections, including HIV.
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Affiliation(s)
- Elissa J Schwartz
- School of Biological Sciences, Washington State University, Pullman, WA 99164, USA; Department of Mathematics and Statistics, Washington State University, Pullman, WA 99164, USA.
| | - Naveen K Vaidya
- Department of Mathematics and Statistics, San Diego State University, San Diego, CA 92182, USA
| | - Karin S Dorman
- Department of Statistics, Iowa State University, Ames, IA 50011, USA; Department of Genetics, Development and Cell Biology, Iowa State University, Ames, IA 50011, USA
| | - Susan Carpenter
- Department of Animal Science, Iowa State University, Ames, IA 50011, USA
| | - Robert H Mealey
- Department of Veterinary Microbiology and Pathology, Washington State University, Pullman, WA 99164, USA
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HIV Dynamics With Immune Responses: Perspectives From Mathematical Modeling. CURRENT CLINICAL MICROBIOLOGY REPORTS 2016. [DOI: 10.1007/s40588-016-0049-z] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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Allen LJ, Schwartz EJ. Free-virus and cell-to-cell transmission in models of equine infectious anemia virus infection. Math Biosci 2015; 270:237-48. [DOI: 10.1016/j.mbs.2015.04.001] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/01/2014] [Revised: 03/26/2015] [Accepted: 04/02/2015] [Indexed: 12/13/2022]
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Antibody escape kinetics of equine infectious anemia virus infection of horses. J Virol 2015; 89:6945-51. [PMID: 25878104 DOI: 10.1128/jvi.00137-15] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/02/2015] [Accepted: 03/25/2015] [Indexed: 11/20/2022] Open
Abstract
Lentivirus escape from neutralizing antibodies (NAbs) is not well understood. In this work, we quantified antibody escape of a lentivirus, using antibody escape data from horses infected with equine infectious anemia virus. We calculated antibody blocking rates of wild-type virus, fitness costs of mutant virus, and growth rates of both viruses. These quantitative kinetic estimates of antibody escape are important for understanding lentiviral control by antibody neutralization and in developing NAb-eliciting vaccine strategies.
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Issel CJ, Cook RF, Mealey RH, Horohov DW. Equine infectious anemia in 2014: live with it or eradicate it? Vet Clin North Am Equine Pract 2014; 30:561-77. [PMID: 25441114 DOI: 10.1016/j.cveq.2014.08.002] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022] Open
Abstract
In the absence of an effective vaccine, the success of the test and removal approach for the control of equine infectious anemia (EIA) cannot be overstated, at least in those areas where testing has been traditionally routine. This article addresses 4 main aspects: what has been learned about EIA virus, host control of its replication, and inapparent carriers; international status regarding the control of EIA; diagnostic and laboratory investigation; and reducing the spread of blood-borne infections by veterinarians. An attempt is made to put these issues into practical contemporary perspectives for the equine practitioner.
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Affiliation(s)
- Charles J Issel
- Department of Veterinary Science, Maxwell H. Gluck Equine Research Center, University of Kentucky, Lexington, KY 40546, USA.
| | - R Frank Cook
- Department of Veterinary Science, Maxwell H. Gluck Equine Research Center, University of Kentucky, Lexington, KY 40546, USA
| | - Robert H Mealey
- Department of Veterinary Microbiology and Pathology, College of Veterinary Medicine, Washington State University, PO Box 647040, Pullman, WA 99164-7040, USA
| | - David W Horohov
- Department of Veterinary Science, Maxwell H. Gluck Equine Research Center, University of Kentucky, Lexington, KY 40546, USA
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Schwartz EJ, Smith RJ. Identifying the Conditions Under Which Antibodies Protect Against Infection by Equine Infectious Anemia Virus. Vaccines (Basel) 2014; 2:397-421. [PMID: 26344625 PMCID: PMC4494265 DOI: 10.3390/vaccines2020397] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/26/2013] [Revised: 04/04/2014] [Accepted: 04/16/2014] [Indexed: 11/16/2022] Open
Abstract
The ability to predict the conditions under which antibodies protect against viral infection would transform our approach to vaccine development. A more complete understanding is needed of antibody protection against lentivirus infection, as well as the role of mutation in resistance to an antibody vaccine. Recently, an example of antibody-mediated vaccine protection has been shown via passive transfer of neutralizing antibodies before equine infectious anemia virus (EIAV) infection of horses with severe combined immunodeficiency (SCID). Viral dynamic modeling of antibody protection from EIAV infection in SCID horses may lead to insights into the mechanisms of control of infection by antibody vaccination. In this work, such a model is constructed in conjunction with data from EIAV infection of SCID horses to gain insights into multiple strain competition in the presence of antibody control. Conditions are determined under which wild-type infection is eradicated with the antibody vaccine. In addition, a three-strain competition model is considered in which a second mutant strain may coexist with the first mutant strain. The conditions that permit viral escape by the mutant strains are determined, as are the effects of variation in the model parameters. This work extends the current understanding of competition and antibody control in lentiviral infection, which may provide insights into the development of vaccines that stimulate the immune system to control infection effectively.
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Affiliation(s)
- Elissa J Schwartz
- School of Biological Sciences and Department of Mathematics, Washington State University, Pullman, WA 99164, USA.
| | - Robert J Smith
- Department of Mathematics and Faculty of Medicine, University of Ottawa, Ottawa, ON K1N 6N5, Canada.
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Ciupe SM, Schwartz EJ. Understanding virus-host dynamics following EIAV infection in SCID horses. J Theor Biol 2014; 343:1-8. [PMID: 24252283 DOI: 10.1016/j.jtbi.2013.11.003] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/29/2013] [Revised: 11/07/2013] [Accepted: 11/08/2013] [Indexed: 11/18/2022]
Abstract
We develop a mathematical model for the interaction between two competing equine infectious anemia virus strains and neutralizing antibodies. We predict that elimination of one or both virus strains depends on the initial antibody levels, the strength of antibody mediated neutralization, and the persistence of antibody over time. We further show that the ability of a subdominant, neutralization resistant virus to dominate the infection transiently or permanently is dependent on the antibody-mediated neutralization effect. Finally, we determine conditions for persistence of both virus strains. We fit our models to virus titers from horses (foals) with severe combined immunodeficiency to estimate virus-host parameters and to validate analytical results.
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Affiliation(s)
- Stanca M Ciupe
- Department of Mathematics, Virginia Tech, Blacksburg, VA 24060, United States.
| | - Elissa J Schwartz
- School of Biological Sciences and Department of Mathematics, Washington State University, Pullman, WA 99164, United States
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Schwartz EJ, Pawelek KA, Harrington K, Cangelosi R, Madrid S. Immune Control of Equine Infectious Anemia Virus Infection by Cell-Mediated and Humoral Responses. ACTA ACUST UNITED AC 2013. [DOI: 10.4236/am.2013.48a023] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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