On the estimation of sequestered parasite population in falciparum malaria patients

The aim of this paper is to give an estimation of total parasite burden of the patient and the rate of infection in a malaria's intra-host model by using control theory tools. More precisely, we use an auxiliary system called observer whose solutions tend exponentially to those of the original model. This observer uses only the available measurable data that are the values of peripheral infected erythrocytes and provides estimates of the sequestered ones that cannot be measured by clinical methods. Therefore this allows to estimate the total parasite burden within a malaria patient. Moreover the constructed observer does not use the generally unknown infection rate parameter $\beta$. We also derive a simple method to estimate this parameter $\beta$. We apply this estimation method using real data that have been collected when malaria was used as therapy for neurosyphilis by the US Public Health Service.

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Source https://inria.hal.science/hal-00764375
Author Bichara, Derdei, Cozic, Nathalie, Iggidr, Abderrahman
Maintainer CCSD
Last Updated May 9, 2026, 15:30 (UTC)
Created May 9, 2026, 15:30 (UTC)
Identifier Report N°: RR-8178
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Tools and models of nonlinear control theory for epidemiology and immunology (MASAIE) ; Laboratoire de Mathématiques et Applications de Metz (LMAM) ; Université Paul Verlaine - Metz (UPVM)-Centre National de la Recherche Scientifique (CNRS)-Université Paul Verlaine - Metz (UPVM)-Centre National de la Recherche Scientifique (CNRS)-Centre Inria de l'Université de Lorraine ; Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Institut Élie Cartan de Lorraine (IECL) ; Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS)-Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS)
creator Bichara, Derdei
date 2012-12-12T00:00:00
harvest_object_id 73bc58d0-133e-46bb-9c6a-a5770fbc432c
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-11-04T00:00:00
set_spec type:REPORT