메뉴 건너뛰기




Volumn 6, Issue 1, 2012, Pages

Fractional modeling dynamics of HIV and CD4 + T-cells during primary infection

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CD4+ T LYMPHOCYTE; GENERALIZED EULER METHOD; HUMAN IMMUNODEFICIENCY VIRUS 1 INFECTION; METHODOLOGY; MOLECULAR DYNAMICS; NONHUMAN; PRIMARY INFECTION; PRIORITY JOURNAL; STATISTICAL ANALYSIS; VIRUS PARTICLE;

EID: 84855251920     PISSN: None     EISSN: 17534631     Source Type: Journal    
DOI: 10.1186/1753-4631-6-1     Document Type: Article
Times cited : (161)

References (22)
  • 1
    • 0036297271 scopus 로고    scopus 로고
    • Mathematical analysis of delay differential equation models of HIV-1 infection
    • 10.1016/S0025-5564(02)00099-8, 12047922
    • Nelson PW, Perelson AS. Mathematical analysis of delay differential equation models of HIV-1 infection. Mathematical Biosciences 2002, 179:73-94. 10.1016/S0025-5564(02)00099-8, 12047922.
    • (2002) Mathematical Biosciences , vol.179 , pp. 73-94
    • Nelson, P.W.1    Perelson, A.S.2
  • 2
    • 33644556174 scopus 로고    scopus 로고
    • Mathematical analysis of the global dynamics of a model for HIV infection of CD4+ T cells
    • 10.1016/j.mbs.2005.12.026, 16466751
    • Liancheng Wang L, Li YM. Mathematical analysis of the global dynamics of a model for HIV infection of CD4+ T cells. Mathematical Biosciences 2006, 200:44-57. 10.1016/j.mbs.2005.12.026, 16466751.
    • (2006) Mathematical Biosciences , vol.200 , pp. 44-57
    • Liancheng Wang, L.1    Li, Y.M.2
  • 3
    • 0034108662 scopus 로고    scopus 로고
    • A delay-differential equation model of HIV infection of CD4+ T -cells
    • 10.1016/S0025-5564(00)00006-7, 10804258
    • Culshaw RV, Ruan S. A delay-differential equation model of HIV infection of CD4+ T -cells. Mathematical Biosciences 2000, 165:27-39. 10.1016/S0025-5564(00)00006-7, 10804258.
    • (2000) Mathematical Biosciences , vol.165 , pp. 27-39
    • Culshaw, R.V.1    Ruan, S.2
  • 4
    • 1542617059 scopus 로고    scopus 로고
    • On the behavior of solutions in viral dynamical models
    • 10.1016/j.biosystems.2003.11.004, 15026192
    • Tuckwell HC, Frederic YMW. On the behavior of solutions in viral dynamical models. Bio Systems 2004, 73:157-161. 10.1016/j.biosystems.2003.11.004, 15026192.
    • (2004) Bio Systems , vol.73 , pp. 157-161
    • Tuckwell, H.C.1    Frederic, Y.M.W.2
  • 6
    • 12344294500 scopus 로고    scopus 로고
    • On a mathematical model of a human root dentin
    • 10.1016/j.dental.2004.01.004, 15681010
    • Petrovic LM, Spasic DT, Atanackovic TM. On a mathematical model of a human root dentin. Dental Materials 2005, 21:125-128. 10.1016/j.dental.2004.01.004, 15681010.
    • (2005) Dental Materials , vol.21 , pp. 125-128
    • Petrovic, L.M.1    Spasic, D.T.2    Atanackovic, T.M.3
  • 8
    • 0027457101 scopus 로고
    • Dynamics of HIV infection of CD4+ T cells
    • 10.1016/0025-5564(93)90043-A, 8096155
    • Perelson AS, Kirschner DE, Boer RD. Dynamics of HIV infection of CD4+ T cells. Mathematical Biosciences 1993, 114:81-125. 10.1016/0025-5564(93)90043-A, 8096155.
    • (1993) Mathematical Biosciences , vol.114 , pp. 81-125
    • Perelson, A.S.1    Kirschner, D.E.2    Boer, R.D.3
  • 9
    • 1542617059 scopus 로고    scopus 로고
    • On the behavior of solutions in viral dynamical models
    • 10.1016/j.biosystems.2003.11.004, 15026192
    • Tuckwell HC, Frederic YMW. On the behavior of solutions in viral dynamical models. Bio Systems 2004, 73:157-161. 10.1016/j.biosystems.2003.11.004, 15026192.
    • (2004) Bio Systems , vol.73 , pp. 157-161
    • Tuckwell, H.C.1    Frederic, Y.M.W.2
  • 10
    • 34447528803 scopus 로고    scopus 로고
    • Modeling within host HIV-1 dynamics and the evolution of drug resistance: Trade offs between viral enzyme function and drug susceptibility
    • 10.1016/j.jtbi.2007.04.014, 2265667, 17532343
    • Rong L, Gilchrist MA, Feng Z, Perelson AS. Modeling within host HIV-1 dynamics and the evolution of drug resistance: Trade offs between viral enzyme function and drug susceptibility. Journal of Theoretical biology 2007, 247:804-818. 10.1016/j.jtbi.2007.04.014, 2265667, 17532343.
    • (2007) Journal of Theoretical biology , vol.247 , pp. 804-818
    • Rong, L.1    Gilchrist, M.A.2    Feng, Z.3    Perelson, A.S.4
  • 11
    • 67549148317 scopus 로고    scopus 로고
    • A fractional-order differential equation model of HIV infection of CD4+ T cells
    • Haiping YD. A fractional-order differential equation model of HIV infection of CD4+ T cells. Mathematical and Computer Modelling 2009, 50:386-392.
    • (2009) Mathematical and Computer Modelling , vol.50 , pp. 386-392
    • Haiping, Y.D.1
  • 12
    • 0034108662 scopus 로고    scopus 로고
    • A delay-differential equation model of HIV infection of CD4+ T-cells
    • Culshaw RV, Ruan S. A delay-differential equation model of HIV infection of CD4+ T-cells. Mathematical Bioscience 2000, 165:27-39.
    • (2000) Mathematical Bioscience , vol.165 , pp. 27-39
    • Culshaw, R.V.1    Ruan, S.2
  • 14
    • 38049021511 scopus 로고    scopus 로고
    • On the solution of the fractional nonlinear Schrödinger equation
    • Rida SZ, El-Sherbiny HM, Arafa AAM. On the solution of the fractional nonlinear Schrödinger equation. Physics Letters A 2008, 372:553-558.
    • (2008) Physics Letters A , vol.372 , pp. 553-558
    • Rida, S.Z.1    El-Sherbiny, H.M.2    Arafa, A.A.M.3
  • 22
    • 74149085984 scopus 로고    scopus 로고
    • An algorithm for the numerical solution of differential equations of fractional order
    • Zaid MO, Momani S. An algorithm for the numerical solution of differential equations of fractional order. Journal of Applied Mathematics & Informatics 2008, 26:15-27.
    • (2008) Journal of Applied Mathematics & Informatics , vol.26 , pp. 15-27
    • Zaid, M.O.1    Momani, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.