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Simulation Study of HIV Temporal Patterns Using Bayesian Methodology

Conference paper
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Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 296)

Abstract

Viral load values and CD4\(^{+}\)T cells count are markers currently evaluated in the clinical follow-up of HIV/AIDS patients. In this context, it is relevant to develop methods that provide a more complete temporal description of these markers, e.g. in between clinical appointments. To this end, we combine a mathematical model and a Bayesian methodology to estimate trajectories from a set of observed values. Also, we construct a variation band containing the most central trajectories for one patient, by exploring the range of values in the a posteriori distributions. The methods are illustrated with simulated data.

Keywords

Bayesian statistics Human immunodeficiency virus (HIV) Mathematical models Nonlinear programming Parameter estimation 

Notes

Acknowledgements

This work was partially funded by the Foundation for Science and Technology, FCT, through national (MEC) and European structural (FEDER) funds, in the scope of UID/MAT/04106/2019 (CIDMA/UA), UID/CEC/00127/2019 (IEETA/UA) and UID/MAT/00144/2019 (CMUP/UP) projects. Diana Rocha acknowledges the FCT grant (ref. SFRH/BD/107889/2015). This work was also partially funded by Portugal 2020 under the Competitiveness and Internationalization Operational Program, and by the European Regional Development Fund through project SOCA-Smart Open Campus (CENTRO-01-0145-FEDER-000010).

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Center for R&D in Mathematics and Applications (CIDMA)University of Aveiro (UA)AveiroPortugal
  2. 2.CEMAT and Department of Mathematics, ISTUniversity of LisbonLisbonPortugal
  3. 3.School of Engineering, Polytechnic of PortoPortoPortugal
  4. 4.Centre of Mathematics of the University of Porto - CMUPPortoPortugal
  5. 5.Centre of Mathematics of the University of Porto - CMUPPortoPortugal
  6. 6.Center for R&D in Mathematics and Applications (CIDMA)University of Aveiro (UA)AveiroPortugal
  7. 7.Institute of Electronics and Informatics Engineering of Aveiro, IEETA, UAAveiroPortugal

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