IDEAS home Printed from https://ideas.repec.org/r/wop/safiwp/96-02-004.html
   My bibliography  Save this item

HIV-1 Dynamics In Vivo: Virion Clearance Rate, Infected Cell Lifespan, and Viral Generation Time

Citations

Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
as


Cited by:

  1. Varsha Dhankani & J Nathan Kutz & Joshua T Schiffer, 2014. "Herpes Simplex Virus-2 Genital Tract Shedding Is Not Predictable over Months or Years in Infected Persons," PLOS Computational Biology, Public Library of Science, vol. 10(11), pages 1-16, November.
  2. Dmitry Gromov & Ethan O. Romero-Severson, 2020. "Within-Host Phenotypic Evolution and the Population-Level Control of Chronic Viral Infections by Treatment and Prophylaxis," Mathematics, MDPI, vol. 8(9), pages 1-21, September.
  3. Cheng, Yan & Li, Mingtao & Zhang, Fumin, 2019. "A dynamics stochastic model with HIV infection of CD4+ T-cells driven by Lévy noise," Chaos, Solitons & Fractals, Elsevier, vol. 129(C), pages 62-70.
  4. Huang, Zaitang & Yang, Qigui & Cao, Junfei, 2011. "Complex dynamics in a stochastic internal HIV model," Chaos, Solitons & Fractals, Elsevier, vol. 44(11), pages 954-963.
  5. Tao Lu & Yangxin Huang & Min Wang & Feng Qian, 2014. "A refined parameter estimating approach for HIV dynamic model," Journal of Applied Statistics, Taylor & Francis Journals, vol. 41(8), pages 1645-1657, August.
  6. Jianwei Chen, 2010. "Modelling long‐term human immunodeficiency virus dynamic models with application to acquired immune deficiency syndrome clinical study," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 59(5), pages 805-820, November.
  7. Attaullah, & Jan, Rashid & Yüzbaşı, Şuayip, 2021. "Dynamical behaviour of HIV Infection with the influence of variable source term through Galerkin method," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
  8. Jiang, Daqing & Liu, Qun & Shi, Ningzhong & Hayat, Tasawar & Alsaedi, Ahmed & Xia, Peiyan, 2017. "Dynamics of a stochastic HIV-1 infection model with logistic growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 706-717.
  9. González, Ramón E.R. & Coutinho, Sérgio & Zorzenon dos Santos, Rita Maria & de Figueirêdo, Pedro Hugo, 2013. "Dynamics of the HIV infection under antiretroviral therapy: A cellular automata approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(19), pages 4701-4716.
  10. Yan, Ye & Kou, Chunhai, 2012. "Stability analysis for a fractional differential model of HIV infection of CD4+ T-cells with time delay," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(9), pages 1572-1585.
  11. Musharif Ahmed & Muhammad Aamer Saleem & Muhammad Zubair & Ijaz Mansoor Qureshi & Saad Zafar, 2022. "Stability analysis and memetic computation using differential evolution for in-host HIV model," Indian Journal of Pure and Applied Mathematics, Springer, vol. 53(1), pages 76-91, March.
  12. Sutimin, & Wijaya, Karunia Putra & Páez Chávez, Joseph & Tian, Tianhai, 2021. "An in-host HIV-1 infection model incorporating quiescent and activated CD4+ T cells as well as CTL response," Applied Mathematics and Computation, Elsevier, vol. 409(C).
  13. Heffernan, J.M. & Keeling, M.J., 2008. "An in-host model of acute infection: Measles as a case study," Theoretical Population Biology, Elsevier, vol. 73(1), pages 134-147.
  14. Martinez, V.M. & Barbosa, A.N. & Mancera, P.F.A. & Rodrigues, D.S. & Camargo, R.F., 2021. "A fractional calculus model for HIV dynamics: real data, parameter estimation and computational strategies," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
  15. Dubey, Preeti & Dubey, Uma S. & Dubey, Balram, 2018. "Modeling the role of acquired immune response and antiretroviral therapy in the dynamics of HIV infection," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 144(C), pages 120-137.
  16. Singh, Harendra, 2021. "Analysis of drug treatment of the fractional HIV infection model of CD4+ T-cells," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
  17. A. M. Elaiw & N. H. AlShamrani & E. Dahy & A. A. Abdellatif & Aeshah A. Raezah, 2023. "Effect of Macrophages and Latent Reservoirs on the Dynamics of HTLV-I and HIV-1 Coinfection," Mathematics, MDPI, vol. 11(3), pages 1-26, January.
  18. Bernhard Konrad & Naveen Vaidya & Robert Smith?, 2011. "Modelling Mutation to a Cytotoxic T-lymphocyte HIV Vaccine," Mathematical Population Studies, Taylor & Francis Journals, vol. 18(2), pages 122-149.
  19. Noura H. AlShamrani & Reham H. Halawani & Wafa Shammakh & Ahmed M. Elaiw, 2023. "Global Properties of HIV-1 Dynamics Models with CTL Immune Impairment and Latent Cell-to-Cell Spread," Mathematics, MDPI, vol. 11(17), pages 1-29, August.
  20. Jessica M Conway & Alan S Perelson & Jonathan Z Li, 2019. "Predictions of time to HIV viral rebound following ART suspension that incorporate personal biomarkers," PLOS Computational Biology, Public Library of Science, vol. 15(7), pages 1-26, July.
  21. 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.
  22. 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.
  23. Nazir, Ghazala & Shah, Kamal & Debbouche, Amar & Khan, Rahmat Ali, 2020. "Study of HIV mathematical model under nonsingular kernel type derivative of fractional order," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
  24. Arthur, Joseph & Attarian, Adam & Hamilton, Franz & Tran, Hien, 2018. "Nonlinear Kalman filtering for censored observations," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 155-166.
  25. Karen A Duca & Michael Shapiro & Edgar Delgado-Eckert & Vey Hadinoto & Abdul S Jarrah & Reinhard Laubenbacher & Kichol Lee & Katherine Luzuriaga & Nicholas F Polys & David A Thorley-Lawson, 2007. "A Virtual Look at Epstein–Barr Virus Infection: Biological Interpretations," PLOS Pathogens, Public Library of Science, vol. 3(10), pages 1-13, October.
  26. Yang, Junyuan & Wang, Xiaoyan, 2019. "Dynamics and asymptotical profiles of an age-structured viral infection model with spatial diffusion," Applied Mathematics and Computation, Elsevier, vol. 360(C), pages 236-254.
  27. Xu, Jinhu & Geng, Yan & Zhou, Yicang, 2017. "Global dynamics for an age-structured HIV virus infection model with cellular infection and antiretroviral therapy," Applied Mathematics and Computation, Elsevier, vol. 305(C), pages 62-83.
  28. Ulrich D Kadolsky & Becca Asquith, 2010. "Quantifying the Impact of Human Immunodeficiency Virus-1 Escape From Cytotoxic T-Lymphocytes," PLOS Computational Biology, Public Library of Science, vol. 6(11), pages 1-11, November.
  29. Miled El Hajji & Rahmah Mohammed Alnjrani, 2023. "Periodic Behaviour of HIV Dynamics with Three Infection Routes," Mathematics, MDPI, vol. 12(1), pages 1-23, December.
  30. Christian L Althaus & Beda Joos & Alan S Perelson & Huldrych F Günthard, 2014. "Quantifying the Turnover of Transcriptional Subclasses of HIV-1-Infected Cells," PLOS Computational Biology, Public Library of Science, vol. 10(10), pages 1-11, October.
  31. E Fabian Cardozo & Adriana Andrade & John W Mellors & Daniel R Kuritzkes & Alan S Perelson & Ruy M Ribeiro, 2017. "Treatment with integrase inhibitor suggests a new interpretation of HIV RNA decay curves that reveals a subset of cells with slow integration," PLOS Pathogens, Public Library of Science, vol. 13(7), pages 1-18, July.
  32. Nicola Bellomo & Richard Bingham & Mark A.J. Chaplain & Giovanni Dosi & Guido Forni & Damian A. Knopoff & John Lowengrub & Reidun Twarock & Maria Enrica Virgillito, 2020. "A multi-scale model of virus pandemic: Heterogeneous interactive entities in a globally connected world," LEM Papers Series 2020/16, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
  33. Arshad, Sadia & Defterli, Ozlem & Baleanu, Dumitru, 2020. "A second order accurate approximation for fractional derivatives with singular and non-singular kernel applied to a HIV model," Applied Mathematics and Computation, Elsevier, vol. 374(C).
  34. Prakash, M. & Rakkiyappan, R. & Manivannan, A. & Cao, Jinde, 2019. "Dynamical analysis of antigen-driven T-cell infection model with multiple delays," Applied Mathematics and Computation, Elsevier, vol. 354(C), pages 266-281.
  35. Nicole Mayer-Hamblett & Steve Self, 2001. "A Regression Modeling Approach for Describing Patterns of HIV Genetic Variation," Biometrics, The International Biometric Society, vol. 57(2), pages 449-460, June.
  36. 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.
  37. Mojaver, Aida & Kheiri, Hossein, 2015. "Mathematical analysis of a class of HIV infection models of CD4+ T-cells with combined antiretroviral therapy," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 258-270.
  38. Chávez, Joseph Páez & Wijaya, Karunia Putra & Pinto, Carla M.A. & Burgos-Simón, Clara, 2022. "A model for type I diabetes in an HIV-infected patient under highly active antiretroviral therapy," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
  39. Laura E Liao & Jonathan Carruthers & Sophie J Smither & CL4 Virology Team & Simon A Weller & Diane Williamson & Thomas R Laws & Isabel García-Dorival & Julian Hiscox & Benjamin P Holder & Catherine A , 2020. "Quantification of Ebola virus replication kinetics in vitro," PLOS Computational Biology, Public Library of Science, vol. 16(11), pages 1-15, November.
  40. Naik, Parvaiz Ahmad & Zu, Jian & Ghoreishi, Mohammad, 2020. "Estimating the approximate analytical solution of HIV viral dynamic model by using homotopy analysis method," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
  41. 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.
  42. 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.
  43. 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.
  44. Max A. Stafford & Yunzhen Cao & David D. Ho & Lawrence Corey & Crystal L. Mackall & Ronald E. Gress & Alan S. Perelson, 1999. "Modeling Plasma Virus Concentration and CD4+ T Cell Kinetics during Primary HIV Infection," Working Papers 99-05-036, Santa Fe Institute.
  45. Hana M Dobrovolny & Micaela B Reddy & Mohamed A Kamal & Craig R Rayner & Catherine A A Beauchemin, 2013. "Assessing Mathematical Models of Influenza Infections Using Features of the Immune Response," PLOS ONE, Public Library of Science, vol. 8(2), pages 1-20, February.
  46. Daniel Commenges & Anne Gégout‐Petit, 2009. "A general dynamical statistical model with causal interpretation," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 71(3), pages 719-736, June.
  47. Qi, Haokun & Meng, Xinzhu, 2021. "Mathematical modeling, analysis and numerical simulation of HIV: The influence of stochastic environmental fluctuations on dynamics," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 187(C), pages 700-719.
  48. 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).
  49. Marc Lavielle & Adeline Samson & Ana Karina Fermin & France Mentré, 2011. "Maximum Likelihood Estimation of Long-Term HIV Dynamic Models and Antiviral Response," Biometrics, The International Biometric Society, vol. 67(1), pages 250-259, March.
  50. Yu Shi & Zizhao Zhang & Weng Kee Wong, 2019. "Particle swarm based algorithms for finding locally and Bayesian D-optimal designs," Journal of Statistical Distributions and Applications, Springer, vol. 6(1), pages 1-17, December.
  51. Liu, Baisen & Wang, Liangliang & Nie, Yunlong & Cao, Jiguo, 2019. "Bayesian inference of mixed-effects ordinary differential equations models using heavy-tailed distributions," Computational Statistics & Data Analysis, Elsevier, vol. 137(C), pages 233-246.
  52. Wang, Jinliang & Guo, Min & Liu, Xianning & Zhao, Zhitao, 2016. "Threshold dynamics of HIV-1 virus model with cell-to-cell transmission, cell-mediated immune responses and distributed delay," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 149-161.
  53. Precharattana, Monamorn & Triampo, Wannapong, 2014. "Modeling dynamics of HIV infected cells using stochastic cellular automaton," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 407(C), pages 303-311.
  54. Hulin Wu & A. Adam Ding, 1999. "Population HIV-1 Dynamics In Vivo: Applicable Models and Inferential Tools for Virological Data from AIDS Clinical Trials," Biometrics, The International Biometric Society, vol. 55(2), pages 410-418, June.
IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.