DOI QR코드

DOI QR Code

산발적인 데이터를 이용한 HIV 변이모델의 파라미터 추정

Parameter Estimation of an HIV Model with Mutants using Sporadically Sampled Data

  • 김석균 (고려대학교 전기전자전파공학과) ;
  • 김정수 (서울과학기술대학교 제어계측공학과) ;
  • 윤태웅 (고려대학교 전기전자전파공학부)
  • 투고 : 2011.05.20
  • 심사 : 2011.06.20
  • 발행 : 2011.08.01

초록

The HIV (Human Immunodeficiency Virus) causes AIDS (Acquired Immune Deficiency Syndrome). The process of infection and mutation by HIV can be described by a 3rd order state equation. For this HIV model that includes the dynamics of the mutant virus, we present a parameter estimation scheme using two state variables sporadically measured, out of the three, by employing a genetic algorithm. It is assumed that these non-uniformly sampled measurements are subject to random noises. The effectiveness of the proposed parameter estimation is demonstrated by simulations. In addition, the estimated parameters are used to analyze the equilibrium points of the HIV model, and the results are shown to be consistent with those previously obtained.

키워드

과제정보

연구 과제 주관 기관 : 연구재단

참고문헌

  1. M. A. Nowak and C. R. Bangham, "Population dynamics of immune responses to persistent viruses," Science, vol. 272, no. 5258, pp. 74-79, 1996. https://doi.org/10.1126/science.272.5258.74
  2. M. A. Nowak, S. Bonhoeffer, G. M. Shaw, and R. M. May, "Anti-viral drug treatment: dynamics of resistance in free virus and infected cell populations," Journal of Theoretical Biology, vol. 184, pp. 203-217, 1997. https://doi.org/10.1006/jtbi.1996.0307
  3. X. Xia, "Estimation of HIV/AIDS parameters" Automatica, vol. 39, pp. 1983-1988, 2003. https://doi.org/10.1016/S0005-1098(03)00220-6
  4. X. Xia and C. H. Moog, "Identifiability of nonlinear systems with applications to HIV/AIDS models," IEEE Transaction on Automatic Control, vol. 48, no. 2, pp. 330-336, 2003. https://doi.org/10.1109/TAC.2002.808494
  5. S.-K. Kim, C.-N. Kim, and T.-W. Yoon, "Output feedback parameter estimation for a HIV model with mutants," Proc. of Modelling, Identification, and Control 2011, pp. 399-405, 2011.
  6. R. A. Filter, X. Xia, and C. M. Gray "Dynamic HIV/AIDS parameter estimation with application to a vaccine readiness study in southern africa," IEEE Transaction on Biomedical Engineering, vol. 52, no. 5, pp. 784-791, 2005. https://doi.org/10.1109/TBME.2005.844274
  7. C. Houck, J. Joins, and M. Kay, "A genetic algorithm for function optimization: a matlab implementation," NCSU-IE, TR95-09, 1995.
  8. P. P. Menon, J. Kim, D. G. Bates, and I. Postlethwalte, "Clearance of nonlinear flight control laws using hybrid evolutionary optimization," IEEE Transaction on Evolutionary Computation, vol. 10, no. 6, pp. 689-699, 2006. https://doi.org/10.1109/TEVC.2006.873220
  9. "Optimization Toolbox User's Guide," ver.2, The MathWorks, 2000.
  10. H. Bock, "Recent advances in parameter identification for ordinary differential equations," Progress in Scientific Computing, vol. 2, pp. 95-121, 1983.
  11. K.-R. Cho, S.-W. Baek, and D.-W. Lee, "Fitness change of mission scheduling algorithm using genetic theory according to the control constants," Journal of Institute of Control, Robotics and Systems (in Korean), vol. 16, no. 6, June 2010. https://doi.org/10.5302/J.ICROS.2010.16.6.572