title: A new inverse regression model applied to radiation biodosimetry.
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.
authors: Centre for Radiation, Chemical and Environmental Hazards, Public Health England , Chilton, Oxfordshire OX11 0RQ, UK ; Departament de Matemàtiques , Universitat Autònoma de Barcelona , Bellaterra, Barcelona 08193, Spain.
authors: Manuel
authors: M
authors: Higueras
authors: Departament de Matemàtiques , Universitat Autònoma de Barcelona , Bellaterra, Barcelona 08193, Spain.
authors: Pedro
authors: P
authors: Puig
authors: Centre for Radiation, Chemical and Environmental Hazards, Public Health England , Chilton, Oxfordshire OX11 0RQ, UK.
authors: Elizabeth A
authors: EA
authors: Ainsbury
authors: Centre for Radiation, Chemical and Environmental Hazards, Public Health England , Chilton, Oxfordshire OX11 0RQ, UK.
authors: Kai
authors: K
authors: Rothkamm
keywords: Bayesian calibration; Hermite distribution; biological dosimetry; calibrative density; compound Poisson distribution; radiotherapy