A new inverse regression model applied to radiation biodosimetry
Higueras Hernáez, Manuel (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Puig i Casado, Pere (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Ainsbury, Elizabeth Ann (Public Health England. Centre for Radiation, Chemical and Environmental Hazards)
Rothkamm, Kai (Public Health England. Centre for Radiation, Chemical and Environmental Hazards)

Date:	2015
Abstract:	Biological dosimetry based on chromosome aberration scoring in peripheral blood lymphocytes enables timely assessment of the ionizing radiation dose absorbed by an individual. Here, new Bayesian-type count data inverse regression methods are introduced for situations where responses are Poisson or two-parameter compound Poisson distributed. Our Poisson models are calculated in a closed form, by means of Hermite and negative binomial (NB) distributions. For compound Poisson responses, complete and simplified models are provided. The simplified models are also expressible in a closed form and involve the use of compound Hermite and compound NB distributions. Three examples of applications are given that demonstrate the usefulness of these methodologies in cytogenetic radiation biodosimetry and in radiotherapy. We provide R and SAS codes which reproduce these examples.
Grants:	Ministerio de Economía y Competitividad MTM2012-31118
Rights:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Bayesian calibration ; Biological dosimetry ; Radiotherapy ; Calibrative density ; Compound Poisson distribution ; Hermite distribution
Published in:	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 471, issue 2174 (Feb. 2015) , art. 20140588, ISSN 1471-2946

DOI: 10.1098/rspa.2014.0588
PMID: 25663804

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