IDEAS home Printed from https://ideas.repec.org/a/adp/jctcmi/v1y2017i5p78-83.html
   My bibliography  Save this article

On Discretization Method for Optimization Control Model for The Treatment of Pathogenic Induced HIV Infection

Author

Listed:
  • Bassey E

    (Department of Mathematics/Statistics, Cross River University of Technology, Nigeria)

  • SU Ufoaroh

    (Department of Electronic and Computer Engineering, Nnamdi Azikiwe University, Nigeria)

Abstract

Informed by the lack of definite approach for parametric estimation for the dynamics of dual infectious diseases, this article articulates a basic five-dimensional (5D) - mathematical model. Formulation of the model is presented as a problem of optimization control dynamics of Pathogen-Induced HIV infections. Used as a therapeutic treatment - reverse transcriptase inhibitor, the study aimed at maximizing target functional based control system; that is, to maximize the total number of CD4+ T-cells and minimize the cost of treatment (RTI). Transformation of the model was carried out using ordinary differential equations and analysis performed by a numerical method solved on the basis of a special discretization method called AVK method.

Suggested Citation

  • Bassey E & SU Ufoaroh, 2017. "On Discretization Method for Optimization Control Model for The Treatment of Pathogenic Induced HIV Infection," Current Trends in Clinical & Medical Imaging, Juniper Publishers Inc., vol. 1(5), pages 78-83, April.
    • Handle: RePEc:adp:jctcmi:v:1:y:2017:i:5:p:78-83
    DOI: 10.19080/CTCMI.2017.01.555571
    as

    Download full text from publisher

    File URL: https://juniperpublishers.com/ctcmi/pdf/CTCMI.MS.ID.555571.pdf
    Download Restriction: no
    File URL: https://juniperpublishers.com/ctcmi/CTCMI.MS.ID.555571.php
    Download Restriction: no
    File URL: https://libkey.io/10.19080/CTCMI.2017.01.555571?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. David D. Ho & Avidan U. Neumann & Alan S. Perelson & Wen Chen & John M. Leonard & Martin Markowitz, 1995. "Rapid Turnover of Plasma Virions and CD4 Lymphocytes in HIV-1 Infection," Working Papers 95-01-002, Santa Fe Institute.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Cai, Liming & Li, Xuezhi, 2009. "Stability and Hopf bifurcation in a delayed model for HIV infection of CD4+T cells," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 1-11.
    2. Nicolas Rapin & Ole Lund & Massimo Bernaschi & Filippo Castiglione, 2010. "Computational Immunology Meets Bioinformatics: The Use of Prediction Tools for Molecular Binding in the Simulation of the Immune System," PLOS ONE, Public Library of Science, vol. 5(4), pages 1-14, April.
    3. Cong Han & Kathryn Chaloner, 2004. "Bayesian Experimental Design for Nonlinear Mixed-Effects Models with Application to HIV Dynamics," Biometrics, The International Biometric Society, vol. 60(1), pages 25-33, March.
    4. Singh, Harendra, 2021. "Analysis of drug treatment of the fractional HIV infection model of CD4+ T-cells," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    5. Rob J De Boer, 2012. "Which of Our Modeling Predictions Are Robust?," PLOS Computational Biology, Public Library of Science, vol. 8(7), pages 1-5, July.
    6. A. Adam Ding & Hulin Wu, 2000. "A Comparison Study of Models and Fitting Procedures for Biphasic Viral Dynamics in HIV-1 Infected Patients Treated with Antiviral Therapies," Biometrics, The International Biometric Society, vol. 56(1), pages 293-300, March.
    7. Iraj Hosseini & Feilim Mac Gabhann, 2012. "Multi-Scale Modeling of HIV Infection in vitro and APOBEC3G-Based Anti-Retroviral Therapy," PLOS Computational Biology, Public Library of Science, vol. 8(2), pages 1-17, February.
    8. Rebecca M. D'Amato & Richard T. D'Aquila & Lawrence M. Wein, 2000. "Management of Antiretroviral Therapy for HIV Infection: Analyzing When to Change Therapy," Management Science, INFORMS, vol. 46(9), pages 1200-1213, September.
    9. Hillmann, Andreas & Crane, Martin & Ruskin, Heather J., 2017. "HIV models for treatment interruption: Adaptation and comparison," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 483(C), pages 44-56.
    10. Wein, Lawrence M. & D'Amato, Rebecca M. & Perelman, Alan S., 1947-, 1997. "Mathematical considerations of antiretroviral therapy aimed at HIV-1 eradication or maintenance of low viral loads," Working papers WP 3939-97., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    11. Mélanie Prague & Daniel Commenges & Julia Drylewicz & Rodolphe Thiébaut, 2012. "Treatment Monitoring of HIV-Infected Patients based on Mechanistic Models," Biometrics, The International Biometric Society, vol. 68(3), pages 902-911, September.
    12. Guo, Wenjuan & Zhang, Qimin, 2021. "Explicit numerical approximation for an impulsive stochastic age-structured HIV infection model with Markovian switching," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 86-115.
    13. Benjamin P Holder & Philippe Simon & Laura E Liao & Yacine Abed & Xavier Bouhy & Catherine A A Beauchemin & Guy Boivin, 2011. "Assessing the In Vitro Fitness of an Oseltamivir-Resistant Seasonal A/H1N1 Influenza Strain Using a Mathematical Model," PLOS ONE, Public Library of Science, vol. 6(3), pages 1-11, March.
    14. Yangxin Huang & Dacheng Liu & Hulin Wu, 2006. "Hierarchical Bayesian Methods for Estimation of Parameters in a Longitudinal HIV Dynamic System," Biometrics, The International Biometric Society, vol. 62(2), pages 413-423, June.
    15. Jeremie Guedj & Rodolphe Thiébaut & Daniel Commenges, 2011. "Joint Modeling of the Clinical Progression and of the Biomarkers' Dynamics Using a Mechanistic Model," Biometrics, The International Biometric Society, vol. 67(1), pages 59-66, March.
    16. Sun, Hongquan & Li, Jin, 2020. "A numerical method for a diffusive virus model with general incidence function, cell-to-cell transmission and time delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    17. Huang, Yangxin, 2008. "Long-term HIV dynamic models incorporating drug adherence and resistance to treatment for prediction of virological responses," Computational Statistics & Data Analysis, Elsevier, vol. 52(7), pages 3765-3778, March.
    18. Commenges, D. & Jolly, D. & Drylewicz, J. & Putter, H. & Thiébaut, R., 2011. "Inference in HIV dynamics models via hierarchical likelihood," Computational Statistics & Data Analysis, Elsevier, vol. 55(1), pages 446-456, January.
    19. Gumel, A.B. & Twizell, E.H. & Yu, P., 2000. "Numerical and bifurcation analyses for a population model of HIV chemotherapy," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 54(1), pages 169-181.
    20. Xinyu Zhang & Hua Liang & Anna Liu & David Ruppert & Guohua Zou, 2016. "Selection Strategy for Covariance Structure of Random Effects in Linear Mixed-effects Models," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 43(1), pages 275-291, March.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:adp:jctcmi:v:1:y:2017:i:5:p:78-83. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Robert Thomas (email available below). General contact details of provider: .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.