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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

Observed means (dots), plus/minus twice their standard errors (error bars), and predicted means (solid line) of the number of micronuclei for NB fitting, based on the data in table 5, omitting the 0.1 Gy test data. (Online version in colour.)
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RSPA20140588F4: Observed means (dots), plus/minus twice their standard errors (error bars), and predicted means (solid line) of the number of micronuclei for NB fitting, based on the data in table 5, omitting the 0.1 Gy test data. (Online version in colour.)

Mentions: The appropriate dose–response curve, i.e. the regression model, is again a linear-quadratic model with intercept, f(x,β)=β2x2+β1x+β0 (figure 4). Table 6 shows the BIC values for the four different models studied in this work. Note how these values support the use of the NB model.Figure 4.


A new inverse regression model applied to radiation biodosimetry.

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

Observed means (dots), plus/minus twice their standard errors (error bars), and predicted means (solid line) of the number of micronuclei for NB fitting, based on the data in table 5, omitting the 0.1 Gy test data. (Online version in colour.)
© Copyright Policy - open-access
Related In: Results  -  Collection

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

RSPA20140588F4: Observed means (dots), plus/minus twice their standard errors (error bars), and predicted means (solid line) of the number of micronuclei for NB fitting, based on the data in table 5, omitting the 0.1 Gy test data. (Online version in colour.)
Mentions: The appropriate dose–response curve, i.e. the regression model, is again a linear-quadratic model with intercept, f(x,β)=β2x2+β1x+β0 (figure 4). Table 6 shows the BIC values for the four different models studied in this work. Note how these values support the use of the NB model.Figure 4.

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