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Título
Optimal designs for compartmental models with correlated observations
Autor(es)
Assunto
Bioassays
Biokinetic models
Design efficiencies
Initial deposition factors
Radioactivity retention
Ensayos biológicos
Modelos compartimentales biocinéticos
Diseños eficientes
IDF
Retención de radiactividad
Fecha de publicación
2005-12
Editor
Taylor and Francis (Abingdon, Gran Bretaña)
Citación
López-Fidalgo, J., Rodríguez-Díaz, J. M., Sánchez León, J. G. y Santos Martín, M. T. (2005, Diciembre). Optimal designs for compartmental models with correlated observations. "Journal of applied statistics", 32 (10), 1075-1088.
Resumen
The flow of internally deposited radioisotope particles inside the body of people exposed to inhalation, ingestion, injection or other ways is usually evaluated using compartmental models (see Sánchez and López-Fidalgo, (2003, and López-Fidalgo and Sánchez, 2005). The International Commission on Radiological Protection (ICRP, 1994) describes the model of the human respiratory tract, represented by two main regions. One of these, the thoracic region (lungs) is divided into different compartments. The retention in the lungs is given by a large combination of ratios of exponential sums depending on time. The aim of this work is to provide optimal times for making bioassays when there has been an accidental radioactivity intake and there is interest in estimating it. In this paper, a large two parameter model is studied and a simplified model is proposed in order to obtain optimal designs in a more suitable way. Local c-optimal designs for the main parameters are obtained using the results of López-Fidalgo and Rodríguez-Díaz, 2004). Efficiencies for all the computed designs are provided and compared.
Descrição
El objetivo del estudio es proveer óptimos tiempos para realizar bioensayos cuando ha habido una entrada accidental de radioactividad.
URI
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