On the estimation of sequestered parasite population in falciparum malaria patients

Derdei Bichara 1 Nathalie Cozic 1 Abderrahman Iggidr 1, *
* Corresponding author
1 MASAIE - Tools and models of nonlinear control theory for epidemiology and immunology
LMAM - Laboratoire de Mathématiques et Applications de Metz, INRIA Nancy - Grand Est, IECL - Institut Élie Cartan de Lorraine
Abstract : 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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Submitted on : Sunday, September 22, 2013 - 11:26:43 PM
Last modification on : Monday, September 23, 2013 - 1:26:21 PM

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Derdei Bichara, Nathalie Cozic, Abderrahman Iggidr. On the estimation of sequestered parasite population in falciparum malaria patients. [Research Report] RR-8178, 2012, pp.22. <hal-00764375v3>

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