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Compound processes as models for clumped parasite data.

Dominik Heinzmann1, A D Barbour, Paul R Torgerson

  • 1Institute of Mathematics, University of Zurich, Winterthurerstrasse 190, 8057 Zurich, Switzerland. dominik.heinzmann@math.uzh.ch

Mathematical Biosciences
|September 1, 2009
PubMed
Summary
This summary is machine-generated.

This study models hydatid cyst acquisition in sheep, caused by Echinococcus granulosus. A clumped infection process, rather than single ingestions, more accurately describes parasite transmission, indicating heterogeneous infection rates.

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Area of Science:

  • Veterinary Parasitology
  • Epidemiology
  • Mathematical Modeling

Background:

  • Hydatid cysts in sheep are caused by Echinococcus granulosus, a significant veterinary concern.
  • Understanding parasite acquisition dynamics is crucial for effective control strategies.

Purpose of the Study:

  • To compare clumped infection processes against single ingestions for modeling hydatid cyst acquisition in sheep.
  • To identify the most accurate statistical model for describing Echinococcus granulosus transmission patterns.

Main Methods:

  • Comparison of simple and mixed Poisson incidence processes.
  • Evaluation of different clump size distributions, including zero-truncated negative binomial.
  • Analysis of two distinct sheep population datasets.

Main Results:

  • A clump-based infection process provided a more accurate description of hydatid cyst acquisition than single ingestions.
  • A mixed Poisson incidence process with a zero-truncated negative binomial distribution for clump sizes offered an adequate fit.
  • Parameter estimates were plausible, and infection rates/clump size distributions were comparable across datasets.

Conclusions:

  • Sheep populations exhibit heterogeneous susceptibility to Echinococcus granulosus infection.
  • Parasite acquisition is characterized by aggregated clump sizes, suggesting non-uniform exposure.
  • The proposed model adequately describes the complex dynamics of hydatid cyst transmission in sheep.