Practical identifiability of HIV dynamics models.

@article{Guedj2007PracticalIO,
  title={Practical identifiability of HIV dynamics models.},
  author={J{\'e}r{\'e}mie Guedj and Rodolphe Thi{\'e}baut and Daniel Commenges},
  journal={Bulletin of mathematical biology},
  year={2007},
  volume={69 8},
  pages={2493-513}
}
We study the practical identifiability of parameters, i.e., the accuracy of the estimation that can be hoped, in a model of HIV dynamics based on a system of non-linear Ordinary Differential Equations (ODE). This depends on the available information such as the schedule of the measurements, the observed components, and the measurement precision. The number of patients is another way to increase it by introducing an appropriate statistical "population" framework. The impact of each improvement… CONTINUE READING

From This Paper

Figures, tables, and topics from this paper.
17 Citations
45 References
Similar Papers

Citations

Publications citing this paper.
Showing 1-10 of 17 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 45 references

Maximum Likelihood Estimation in dynamical models of HIV

  • J. Guedj, R. Thibaut, D. Commenges
  • Biometrics ( in press) .
  • 2007
Highly Influential
14 Excerpts

Description and use of lsode, the livermore solver for ordinary differential equations

  • K. Radhakrishnan, A. C. Hindmarsh
  • LLNL Report UCR-ID-113855 Livermore, CA 4. 28
  • 1993
Highly Influential
4 Excerpts

Qualitative and quantitative identifiability analysis of nonlinear chemical kinetic models

  • S. Vajda, H. Rabitz, E. Walter, Y. Lecourtier
  • Chemical Engineering Communication 83, 191–219.
  • 1989
Highly Influential
4 Excerpts

General equivalence theory for optimum designs (approximate theory)

  • J. Kiefer
  • Annals of Statistics 2, 849–879.
  • 1974
Highly Influential
8 Excerpts

Theory of Optimal Experiments

  • V. V. Fedorov
  • Academic Press.
  • 1972
Highly Influential
7 Excerpts

A bayesian approach for estimating antiviral efficacy in HIV dynamic models

  • Y. Huang, H. Wu
  • Journal of Applied Statistics 33, 155– 174.
  • 2006
Highly Influential
4 Excerpts

Similar Papers

Loading similar papers…