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A new inverse regression model applied to radiation biodosimetry.

Higueras M, Puig P, Ainsbury EA, Rothkamm K - Proc. Math. Phys. Eng. Sci. (2015)

Bottom Line: 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.We provide R and SAS codes which reproduce these examples.

View Article: PubMed Central - PubMed

Affiliation: 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.

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.

No MeSH data available.


Related in: MedlinePlus

Calibrative densities of the 1.5 Gy test data calculated from a normal (blue/dotted line) and a gamma (red/dashed-dotted line) mean prior with non-informative prior dose distribution, and for a gamma mean prior with informative prior dose distribution (green/solid line). Red and blue curves are indistinguishable.
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RSPA20140588F2: Calibrative densities of the 1.5 Gy test data calculated from a normal (blue/dotted line) and a gamma (red/dashed-dotted line) mean prior with non-informative prior dose distribution, and for a gamma mean prior with informative prior dose distribution (green/solid line). Red and blue curves are indistinguishable.

Mentions: Figure 2 shows the plot of the three densities of the estimated dose for the data test. Note how these results incorporate the real dose (1.5 Gy) and show the similarities found using both mean priors. Note that the gamma mean prior is moderately more conservative.Figure 2.


A new inverse regression model applied to radiation biodosimetry.

Higueras M, Puig P, Ainsbury EA, Rothkamm K - Proc. Math. Phys. Eng. Sci. (2015)

Calibrative densities of the 1.5 Gy test data calculated from a normal (blue/dotted line) and a gamma (red/dashed-dotted line) mean prior with non-informative prior dose distribution, and for a gamma mean prior with informative prior dose distribution (green/solid line). Red and blue curves are indistinguishable.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4309124&req=5

RSPA20140588F2: Calibrative densities of the 1.5 Gy test data calculated from a normal (blue/dotted line) and a gamma (red/dashed-dotted line) mean prior with non-informative prior dose distribution, and for a gamma mean prior with informative prior dose distribution (green/solid line). Red and blue curves are indistinguishable.
Mentions: Figure 2 shows the plot of the three densities of the estimated dose for the data test. Note how these results incorporate the real dose (1.5 Gy) and show the similarities found using both mean priors. Note that the gamma mean prior is moderately more conservative.Figure 2.

Bottom Line: 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.We provide R and SAS codes which reproduce these examples.

View Article: PubMed Central - PubMed

Affiliation: 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.

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.

No MeSH data available.


Related in: MedlinePlus