Calibration of a Radiation Detector: Chromosome Dosimetry for Neutrons

Uncertainty on Radiation Doses Estimated by Biological and Retrospective Physical Methods

“…For Bayesian uncertainty assessment of the dose, three types of solutions can be identified from within the literature. Firstly, analytical expressions for simplified scenarios: The earliest prominent example of such a solution is the calibrative density for a Poisson distributed number of aberrations linked to the absorbed dose via a linear dose response without intercept (C = β = 0) using Gamma priors for dose and slope 84 . In this case, an analytical expression is derived that is proportional to the posterior.…”

A new inverse regression model applied to radiation biodosimetry

“…The method presented here for the Poisson model, using the gamma distribution as a mean prior, is exactly the same as the full Bayesian method of Groer & Pereira [ 9 ] for the simple case where f ( x , β )= βx . However for other dose–response curves both methods differ.…”

“…Because mixing a Poisson with a gamma produces an NB distribution, it can be shown that q s (x) in (3.3) is the probability that an NB random variable, with mean mf(x,β) and variance m 2 v(x,β) + mf(x,β), takes a value equal to s. The method presented here for the Poisson model, using the gamma distribution as a mean prior, is exactly the same as the full Bayesian method of Groer & Pereira [9] for the simple case where f(x, β) = βx. However for other dose-response curves both methods differ.…”

“…Bayesian approaches allow simple incorporation of prior information concerning the circumstances of the exposure. Groer & Pereira [ 9 ] were the first to investigate the use of Bayesian models in chromosome dosimetry, for neutron exposure, and since then several researchers have used Bayesian methods in radiation biodosimetry. For instance, Di Giorgio & Zaretzky [ 10 ] used a Bayesian approach to present the uncertainty on a biological dose estimate for a radiation overexposed patient in Latin America: a Poisson model with a Jeffrey's prior was used and it was further demonstrated that the Bayesian approach allows presentation of probabilities for dose ranges, which leads to a much more intuitive interpretation of the biological dosimetry results.…”

Análise bayesiana de dados citogenéticos

“…O problema estatístico fundamental em Toxicologia é obter uma relação funcional entre dose e res-posta, onde dose refere-se à concentração do agente suspeito ao qual o indivíduo é exposto e resposta é o fenómeno observado no indivíduo após a exposição. A solução que apresentaremos envolve técnicas Bayesianas como, por exemplo, em Bender et al (1988) e Groér & Pereira (1987). Nestes artigos considerou-se a distribuição de Poisson e modelos lineares, pois o interesse era em níveis de dose baixos (e, consequentemente, respostas baixas).…”