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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 0.1 Gy test data using the complete model (2.5) (green/solid line), and the simplified ones with a normal (blue/dotted line) and a gamma (red/dashed-dotted line) mean prior density; all with a uniform prior dose distribution. Blue and red curves are indistinguishable.
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RSPA20140588F5: Calibrative densities of the 0.1 Gy test data using the complete model (2.5) (green/solid line), and the simplified ones with a normal (blue/dotted line) and a gamma (red/dashed-dotted line) mean prior density; all with a uniform prior dose distribution. Blue and red curves are indistinguishable.

Mentions: To use the normal mean prior (4.1) in this calibration set for NB responses, there is a condition to be satisfied: . It is satisfied when x≤4.294 Gy. In this example, this is not a problem and it could be used as prior information about the dose, that is . For the range of the likely doses studied, the minimum value of the shape parameter of the mean prior gamma is 179.605, and consequently both gamma and normal mean priors are almost indistinguishable (red and blue curves in figure 5).Figure 5.


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 0.1 Gy test data using the complete model (2.5) (green/solid line), and the simplified ones with a normal (blue/dotted line) and a gamma (red/dashed-dotted line) mean prior density; all with a uniform prior dose distribution. Blue and red curves are indistinguishable.
© Copyright Policy - open-access
Related In: Results  -  Collection

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

RSPA20140588F5: Calibrative densities of the 0.1 Gy test data using the complete model (2.5) (green/solid line), and the simplified ones with a normal (blue/dotted line) and a gamma (red/dashed-dotted line) mean prior density; all with a uniform prior dose distribution. Blue and red curves are indistinguishable.
Mentions: To use the normal mean prior (4.1) in this calibration set for NB responses, there is a condition to be satisfied: . It is satisfied when x≤4.294 Gy. In this example, this is not a problem and it could be used as prior information about the dose, that is . For the range of the likely doses studied, the minimum value of the shape parameter of the mean prior gamma is 179.605, and consequently both gamma and normal mean priors are almost indistinguishable (red and blue curves in figure 5).Figure 5.

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