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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제33권 제5호
- 발행연도
- 2015.1
- 수록면
- 559 - 578 (20page)
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Human Immune Deficiency Virus (or simply HIV) induces a persistent infection that leads to AIDS causing death in almost every infected individual. As HIV affects the immune system directly by attacking the CD4+ T cells, to exterminate the infection, the natural immune system produces virus-specific cytotoxic T lymphocytes(CTLs) that kills the infected CD4+ T cells. The reduced CD4+ T cell count produce reduced amount of cytokines to stimulate the production of CTLs to fight the invaders that weakens the body immunity succeeding to AIDS. In this paper, we introduce a mathematical model with discrete time-delay to represent this cell dynamics between CD4+ T cells and the CTLs under HIV infection. A modified functional form has been considered to describe the infection mechanism. Characteristics of the system are studied through mathematical analysis. Numerical simulations are carried out to illustrate the analytical findings.
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참고문헌 (39)
참고문헌 신청
AIDS epidemic update
R. M. Anderson / 1988 / The role of mathematical models in the study of HIV transmission and the epidemiology of AIDS / J. Acquir. Immune Defic. Syndr 1:241~256
R. A. Arnaout / 2000 / M. A. Nowak and D. Wodarz, HIV-1 dynamics revisited : biphasic decay by cytotoxic T lymphocyte killing? / Proc. Roy. Soc. Lond. B 265:1347~1354
M. Bachar. / 2004 / HIV treatment models with time delay / C. R. Biol 327:983~994
S. Bajaria. / 2004 / Predicting differential responses to structured treatment interruptions during HAART / Bull. Math. Biol 66:1093~1118
R. M. Anderson / 1988 / The role of mathematical models in the study of HIV transmission and the epidemiology of AIDS / J. Acquir. Immune Defic. Syndr 1:241~256
R. A. Arnaout / 2000 / M. A. Nowak and D. Wodarz, HIV-1 dynamics revisited : biphasic decay by cytotoxic T lymphocyte killing? / Proc. Roy. Soc. Lond. B 265:1347~1354
M. Bachar. / 2004 / HIV treatment models with time delay / C. R. Biol 327:983~994
S. Bajaria. / 2004 / Predicting differential responses to structured treatment interruptions during HAART / Bull. Math. Biol 66:1093~1118
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