Interval observer for sequestered erythrocytes in malaria

Kwassi Holali Degue 1 Denis Efimov 2 Abderrahman Iggidr 3, 4
2 NON-A - Non-Asymptotic estimation for online systems
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189, Inria Lille - Nord Europe
Abstract : —For malaria patients, a usual observation problem consists in estimation of sequestered parasites Plasmodium falciparum from measurements of circulating ones. The model of an infected patient is rather uncertain, and for all rates (death, transition, recruitment and infection) in the model it is assumed that only intervals of admissible values are given. In addition, the measurements of the concentration of circulating parasites are subjected by a bounded noise, while some parameters, like the rate of infection of blood cells by merozoites, are completely unknown and highly time-varying. In order to evaluate the concentration of sequestered parasites, an interval observer is designed, which provides intervals of admissible value for that concentration, with the interval width proportional to the model uncertainty. Stability of the proposed observer can be verified by a solution of LMI. The efficiency of the observer is demonstrated in simulation for a model and for real measured data.
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Kwassi Holali Degue, Denis Efimov, Abderrahman Iggidr. Interval observer for sequestered erythrocytes in malaria. 2015. ⟨hal-01250447⟩

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