An application of compound Poisson modelling to biological dosimetry

Puig, Pedro; Barquinero, Joan Francesc

doi:10.1098/rspa.2010.0384

Cited by 26 publications

(27 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…18 The poisson over-dispersion of foci counts is not unexpected if we consider c-H2AX foci formation as a compound Poisson process that involve the energy deposition and the induction of DNA damage and its repair. 19 The interaction between the EGFR and the DNA repair can occur not only by a direct interaction between EGFR and DNA-PK, but also through another pathway in which the EGFR does not need to be translocated to the nucleus, by phosphatidylionitol 3-kinase (PI3K)-Akt or MAPK. 11 The different binding affinity of the two mAbs could be an important determinant in the alternative translocation pathway.…”

Section: Discussionmentioning

confidence: 99%

Radiosensitization induced by the anti-epidermal growth factor receptor monoclonal antibodies cetuximab and nimotuzumab in A431 cells

González

Barquinero

Lee

et al. 2012

Cancer Biology & Therapy

Self Cite

View full text Add to dashboard Cite

Epidermal growth factor receptors (EGFR) are overexpressed in a wide range of malignancies including head and neck, colon, and breast cancers. It has been identified that carcinomas with high expression levels of EGFR are more resistant to radiotherapy. Therefore, inhibiting nuclear translocation of EGFR to increase the radiosensitivity of malignant cells expressing EGFR offers the potential for increasing the therapeutic index of radiotherapy. The purpose of the present study was to quantify and to compare the radiosensitizing properties of the well-known anti-EGFR antibodies, cetuximab and nimotuzumab in human epidermoid A431 overexpressing EGFR cells. Cells were treated with two concentrations of the antibodies and then irradiated with a single dose of 4 Gy. The results indicated that the two antibodies induced radiosensitization increasing the percentage of dead/dying cells and the yield of γ-H2AX foci 24 h after irradiation. Whereas cetuximab exhibited a significant increase in radiosensitization at the highest concentration, the effects of nimotuzumab were more modest. A correlation between γ-H2AX foci signals and dead/dying cells was observed. The disparity in modulation of radiation-induced DNA damage by the two antibodies could be associated with the level of their respective intrinsic cytotoxic properties. Overall, the findings highlight the potential therapeutic benefit of combination therapy with anti-EGFR antibodies and radiotherapy for relevant carcinomas.

show abstract

Section: Discussionmentioning

confidence: 99%

Radiosensitization induced by the anti-epidermal growth factor receptor monoclonal antibodies cetuximab and nimotuzumab in A431 cells

González

Barquinero

Lee

et al. 2012

Cancer Biology & Therapy

Self Cite

View full text Add to dashboard Cite

show abstract

“…Example Consider a compound Poisson distribution where the compounding distribution takes a finite range of values, 0, 1, 2 and 3. It leads to a third‐order univariate Hermite distribution (Puig & Barquinero, ) that can be represented as a linear combination of three independent Poisson random variables X 1 +2 X 2 +3 X 3 , with E ( X i )= λ i . Its probabilities, p k = p ( X = k ), can be calculated using the recursive relation

p_{k} = (p_{k - 1} λ_{1} + 2 p_{k - 2} λ_{2} + 3 p_{k - 3} λ_{3}) / k,

where

p_{0} = \exp (- λ_{1} - λ_{2} - λ_{3})

and p −1 = p −2 =0.…”

Section: Some Lower Bounds For the Zero Probabilitymentioning

confidence: 99%

“…The last two data sets come from an experiment where the counts of chromosome aberrations (dicentrics) can be modelled by a physical mechanism leading to compound‐Poisson distributions (Puig & Barquinero, ). Therefore,

\overset{f_{0}}{true}

could be appropriate, obtaining estimations with relative errors of 24% (0.405 Gy) and 5% (0.600 Gy).…”

Section: Examples Of Application and Simulationsmentioning

confidence: 99%

Non‐parametric Estimation of the Number of Zeros in Truncated Count Distributions

Puig¹,

Kokonendji

2017

Scandinavian J Statistics

Self Cite

View full text Add to dashboard Cite

We present some lower bounds for the probability of zero for the class of count distributions having a log‐convex probability generating function, which includes compound and mixed‐Poisson distributions. These lower bounds allow the construction of new non‐parametric estimators of the number of unobserved zeros, which are useful for capture‐recapture models, or in areas like epidemiology and literary style analysis. Some of these bounds also lead to the well‐known Chao's and Turing's estimators. Several examples of application are analysed and discussed.

show abstract

“…It is demonstrated in Section S.1 of the online appendix that the distribution of X is, in fact, a general stuttering Poisson distribution , i.e., a Poisson‐stopped sum of nonnegative discrete random variables. Special cases of this distribution have, for example, been used to model bulk arrivals in queuing theory and the number of radiation‐induced chromosome defects . For the case where there is a fixed maximum cluster size

N > 1

, the distribution of X has been called the N th‐order (univariate) Hermite distribution .…”

Section: Model Developmentmentioning

confidence: 99%

QMRA for Drinking Water: 2. The Effect of Pathogen Clustering in Single‐Hit Dose‐Response Models

Nilsen

Wyller

2016

Risk Analysis

View full text Add to dashboard Cite

Spatial and/or temporal clustering of pathogens will invalidate the commonly used assumption of Poisson-distributed pathogen counts (doses) in quantitative microbial risk assessment. In this work, the theoretically predicted effect of spatial clustering in conventional "single-hit" dose-response models is investigated by employing the stuttering Poisson distribution, a very general family of count distributions that naturally models pathogen clustering and contains the Poisson and negative binomial distributions as special cases. The analysis is facilitated by formulating the dose-response models in terms of probability generating functions. It is shown formally that the theoretical single-hit risk obtained with a stuttering Poisson distribution is lower than that obtained with a Poisson distribution, assuming identical mean doses. A similar result holds for mixed Poisson distributions. Numerical examples indicate that the theoretical single-hit risk is fairly insensitive to moderate clustering, though the effect tends to be more pronounced for low mean doses. Furthermore, using Jensen's inequality, an upper bound on risk is derived that tends to better approximate the exact theoretical single-hit risk for highly overdispersed dose distributions. The bound holds with any dose distribution (characterized by its mean and zero inflation index) and any conditional dose-response model that is concave in the dose variable. Its application is exemplified with published data from Norovirus feeding trials, for which some of the administered doses were prepared from an inoculum of aggregated viruses. The potential implications of clustering for dose-response assessment as well as practical risk characterization are discussed.

show abstract

An application of compound Poisson modelling to biological dosimetry

Cited by 26 publications

References 21 publications

Radiosensitization induced by the anti-epidermal growth factor receptor monoclonal antibodies cetuximab and nimotuzumab in A431 cells

Radiosensitization induced by the anti-epidermal growth factor receptor monoclonal antibodies cetuximab and nimotuzumab in A431 cells

Non‐parametric Estimation of the Number of Zeros in Truncated Count Distributions

QMRA for Drinking Water: 2. The Effect of Pathogen Clustering in Single‐Hit Dose‐Response Models

Contact Info

Product

Resources

About