Groupe de modeleurs
Département de Biométrie Médicale de l'Université de Tübingen

deutsch English
A notre sujet

Recherche
Influenza
Maladies émergentes
Variole
Rougeole
Poliomyélite
Paludisme
Onchocercose
Filarioses
  Introduction
  Eradicabilité
       Summary
       Graph de persistence
       Insecuritées
       Limitation et contr&ehat;le
       Limitation
       Facilitation
  Model
  Dispersion
  Glossary
Leishmaniose
Haemophilus
Pneumocoques
Autres

Méthodes

Publications

Relations publiques

Impressum

Facilitation

Facilitation


Facilitation is based on positive feedback which is rarely observed in nature. In filariases, it occurs, for example, if vectors possess a cibarial armature, a tooth-like chitin structure which lacerates ingested Mf. At low microfilariae densities, this cibarial armature substantially reduces the proportion of surviving microfilariae. At high Mf densities, however, the cibarial armature might be inefficient because it is masked by a few Mf promoting the survival of the others

As a result, we obtain a profile as shown above: the proportion of surviving microfilaria in the fly increases with increasing microfilarial density in the human skin. Another example of facilitation in filariasis is parasite-induced immunosuppression.

Figure above: Fitting a facilitated and a non-regulated relationship to the same data leads to an intersection between both curves. This intersection is an unstable equilibrium, called breakpoint, i.e. a parasite density below which infection cannot persist. The trivial equilibrium (the infection-free state) is in this case stable. Without external influences, the system tends towards the infection-free state state (gray arrow). Facilitation processes 'facilitate' the eradicability of an infection, because they destabilize the endemic state and stabilize the infection-free state.

The endemic equilibrium must be provided by an associated limitation process leading to a second intersection between both curves (see figure below). Starting from the infection-free state, this leads to equilibriae in the following order:

Elimination (stable) - Breakpoint (unstable) - Endemic state (stable).

Facilitation + Limitation

This figure has important implications for the control of an infection: will the intervention be cancelled while the parasite density still exceeds the value of the breakpoint, then, the system will tend back to the stable equilibrium of the endemic state (gray arrow pointing upwards). If, on the other hand, the intervention will be continued until the parasite density underruns the value of a breakpoint, then, the infection will go extinct without further efforts, because the systems tends by itself towards the stable infection-free state (gray arrow pointing downwards). See also Persistence graphs.

Further reading: Duerr HP, Dietz K, Eichner M, 2005. Determinants of the eradicability of filarial infections: a conceptual approach. Trends in Parasitology 21: 88-96. Abstract at PubMed

Related pages: Limitation, Eradicability of onchocerciasis, Limitation & Control.

Responsable de cette page: Dr. H.-P. Duerr
Webmaster: Prof. Dr. M. Eichner (dernière modification de cette page: 13 juli 2009)
Traduit en français par: Claire Le Roux, Université de Valenciennes et du Hainaut Cambraisis (UVHC), Institut des Sciences et Techniques (ISTV), France
Avertissement: L'Université Eberhard Karl de Tübingen, le Centre Hospitalier Universitaire de Tübingen, le Département de Biométrie Médicale (IMB), ainsi que les auteurs de cette page déclinent toute responsabilité pour le contenu des pages auxquelles cette page renvoie

Vous êtes le éme visiteur de notre site.