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Stochastic Modeling of Viral Replication and Lysing CD4+TCells in the HIV Infection
G. Meenakshi1 , S. Saranya2
Section:Research Paper, Product Type: Isroset-Journal
Vol.5 ,
Issue.5 , pp.243-252, Oct-2018
CrossRef-DOI: https://doi.org/10.26438/ijsrmss/v5i5.243252
Online published on Oct 31, 2018
Copyright © G. Meenakshi , S. Saranya . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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IEEE Style Citation: G. Meenakshi , S. Saranya, “Stochastic Modeling of Viral Replication and Lysing CD4+TCells in the HIV Infection,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.5, pp.243-252, 2018.
MLA Style Citation: G. Meenakshi , S. Saranya "Stochastic Modeling of Viral Replication and Lysing CD4+TCells in the HIV Infection." International Journal of Scientific Research in Mathematical and Statistical Sciences 5.5 (2018): 243-252.
APA Style Citation: G. Meenakshi , S. Saranya, (2018). Stochastic Modeling of Viral Replication and Lysing CD4+TCells in the HIV Infection. International Journal of Scientific Research in Mathematical and Statistical Sciences, 5(5), 243-252.
BibTex Style Citation:
@article{Meenakshi_2018,
author = {G. Meenakshi , S. Saranya},
title = {Stochastic Modeling of Viral Replication and Lysing CD4+TCells in the HIV Infection},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {10 2018},
volume = {5},
Issue = {5},
month = {10},
year = {2018},
issn = {2347-2693},
pages = {243-252},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=933},
doi = {https://doi.org/10.26438/ijcse/v5i5.243252}
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v5i5.243252}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=933
TI - Stochastic Modeling of Viral Replication and Lysing CD4+TCells in the HIV Infection
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - G. Meenakshi , S. Saranya
PY - 2018
DA - 2018/10/31
PB - IJCSE, Indore, INDIA
SP - 243-252
IS - 5
VL - 5
SN - 2347-2693
ER -
Abstract :
The existing models of HIV infection are non-linear system of differential equations. Solving system of differential equations is very difficult task and also drawing inference is not easy. Therefore, an attempt has been made to estimate the HIV replication periodically using Markov processes in the condition of decay of CD_4^+ T cells. The proposed model is illustrated in this paper.
Key-Words / Index Term :
CD4+ T cell, HIV and Markov processes
References :
[1]. A. A. Rather and C. Subramanian, “Exponentiated Mukherjee-Islam distribution”, Journal of Statistics Applications & Probability, J. Stat. Appl. Pro. 7,No. 2, 357-361 (2018).
[2]. A. A. Rather, C. Subramanian, “Transmuted Mukherjee-Islam failure model”, Journal of Statistics Applications &Probability, J. Stat. Appl. Pro. 7,No. 2, 343-347 (2018).
[3]. Abu, MA Emeje Comparative Analysis of HIV/AIDS Control Strategies with Mathematical Models Journal of Scientific and Engineering Research, 2016, 3(4):442-448, (2016).
[4]. Areej Alshorman, Chathuri Samarasinghe, Wenlian Luand Libin Rong An HIV model with age-structured latently infected cellsJOURNAL OF BIOLOGICAL DYNAMICS, VOL.11,NO.S1,1922 (2017).
[5]. Esteban A.Hernande-Vargas, RichardH.Middleton (2013) Modeling the three stages in HIV infection 0022-5193/$ -seefrontmatter Crown Copyright & 2012 Published by Elsevier Ltd.All rights reserved.http://dx.doi.org/10.1016/j.jtbi.2012.11.028
[6]. Frank S. Heldt, Sascha Y. Kupke, Sebastian Dor Udo Reich & Timo Frensing (2015) Single-cell analysis and stochastic modellingunveil large cell-to-cell variability in influenza A virus infection NATURE COMMUNICATIONS 6:8938 DOI:10.1038/ncomms9938 |www.nature.com/naturecommunications.
[7]. Hernán Darío, Toro-Zapata, Enmanue Roa, VásquezyMónica, JhoanaMesa, Mazoz, (2017) Stochastic Model or the HIV Infection of Cd4+T Cells in Immune System Rev.Mate.Teor.Aplic. (ISSN print: 1409-2433; online: 2215-3373) Vol. 24(2): 287–313, July 2017
[8]. Joseph N. Inungu, Daudet InungaTshiswaka, Daryn Papen fuse (2017) Advances in HIV Prevention and Treatment: A Literature Review Inungu ygdz
[9]. Konstantina Palla, David Knowles, ZoubinGhahramani (2017) A Birth-Death Process for Feature Allocation Proceedings of the 34 th International Conference on Machine Learning, Sydney, Australia, PMLR 70, 2017. Copyright 2017by the author(s).
[10]. Leonid Shaikhet& Andrei Korobeinikov (2015) Stability of a stochastic model for HIV-1 dynamics with in a host Applicable Analysis, 2016Vol. 95, No. 6, 1228–1238. DOI:10.1080/00036811.2015.1058363
[11]. Monamorn Precharattana Stochastic modeling for dynamics of HIV-1 infectionUsing cellular automata: A review Journal of Bioinformatics and Computational Biology9.Vol. 14, No. 1 (2016) 1630001 (17 pages) #.c Imperial College Press (2016)
[12]. Myron S. Cohen, Nick Hellmann, Jay A. Levy, Kevin DeCock, and Joep Lange5 (2008). The spread, treatment, and prevention of HIV-1: evolution of a global pandemic J. Clin. Invest. 118:1244–1254 (2008). Doi: 10.1172/JCI34706.
[13]. O. Abu, A.M. Okutachi (2017)Deterministic and Stochastic Models to Simulate the Effects of Antiretroviral Therapy (ART) and Counseling on HIV/AIDS Transmission Dynamics in a Heterosexual Population. Journal of Scientific and Engineering Research, 2017, 4(9):111-121.
[14]. Susan Cassels, Samuel J. Clark, Martina Morris, (2012) Mathematical Models for HIV Transmission Dynamics: NIH Public Access Author ManuscriptJAcquir Immune DeficSyndr. Author manuscript; available in PMC 2012 July 01.
[15]. Tang Ning, Xu Tian-Tian, and Zeng Hao-Sheng (2013) Comparison between non-Markovian dynamics with and without rotating wave approximation 2013 Chinese Physical Society and IOP Publishing Ltd.
[16]. Waema R. Mbogo, Livingstone S. Luboobi, and John W. Odhiambo (2013) Stochastic Model for In-Host HIV Dynamics with therapeutic Intervention ISRN Biomathematics (2013)
[17]. Waema R. Mbogo, Livingstone S. Luboobi, and JohnW. Odhiambo (2013) Stochastic Model for In-Host HIV Dynamics with Therapeutic Intervention Hindawi Publishing CorporationISRN Biomathematics Volume 2013, ArticleID103708,11pageshttp://dx.doi.org/10.1155/2013/103708 .
[18]. Yan Wang and Daqing Jian (2017) Stationary Distribution and Extinction of a Stochastic Viral Infection ModelHindawiDiscrete Dynamics in Nature and SocietyVolume 2017, Article ID 6027509, 13 pages https://doi.org/10.1155/2017/6027509
[19]. Yanfeng Liang, David Greenhalgh, and XuerongMao (2016) A Stochastic Differential Equation Model for the Spread of HIV amongst People Who Inject Drugs Hindawi Publishing Corporation Computational and Mathematical Methods in Medicine Volume 2016, Article ID 6757928, 14 pages http://dx.doi.org/10.1155/2016/6757928
20. Yuan Yuan, Linda J.S. Allen (2011)Stochastic models for virus and immune system dynamics Contents lists available at SciVerse Science DirectMathematical BiosciencesJournal homepage: www.elsevier.com/locate/mbs.
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