Interval observer for sequestered erythrocytes in malaria

Kwassi Holali Degue (1) , Denis Efimov (2) , Abderrahman Iggidr (3, 4)

1 Départment de Génie Electrique [Montreal]
2 NON-A - Non-Asymptotic estimation for online systems
3 Inria Nancy - Grand Est
4 IECL - Institut Élie Cartan de Lorraine

—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.

Mots clés: uncertain parameters; age-structured models; interval observer; observers; Intra-host epidemic models

Domaines: Automatique / Robotique; Maladies infectieuses; Santé publique et épidémiologie

Kwassi Holali Degue, Denis Efimov, Abderrahman Iggidr. Interval observer for sequestered erythrocytes in malaria. 2015. ⟨hal-01250447⟩