Experimental design strategy for the Weibull dose response model

1988 ◽  
Vol 53 (1-4) ◽  
pp. 333-349 ◽  
Author(s):  
K.A. Dassel ◽  
J.O. Rawlings
2021 ◽  
Vol 1 (1) ◽  
pp. 49-58
Author(s):  
Mårten Schultzberg ◽  
Per Johansson

AbstractRecently a computational-based experimental design strategy called rerandomization has been proposed as an alternative or complement to traditional blocked designs. The idea of rerandomization is to remove, from consideration, those allocations with large imbalances in observed covariates according to a balance criterion, and then randomize within the set of acceptable allocations. Based on the Mahalanobis distance criterion for balancing the covariates, we show that asymptotic inference to the population, from which the units in the sample are randomly drawn, is possible using only the set of best, or ‘optimal’, allocations. Finally, we show that for the optimal and near optimal designs, the quite complex asymptotic sampling distribution derived by Li et al. (2018), is well approximated by a normal distribution.


2021 ◽  
Vol 16 (1) ◽  
Author(s):  
Irina Kapitanova ◽  
Sharmi Biswas ◽  
Sabrina Divekar ◽  
Eric J. Kemmerer ◽  
Robert A. Rostock ◽  
...  

Abstract Background Brachial plexopathy is a potentially serious complication from stereotactic body radiation therapy (SBRT) that has not been widely studied. Therefore, we compared datasets from two different institutions and generated a brachial plexus dose–response model, to quantify what dose constraints would be needed to minimize the effect on normal tissue while still enabling potent therapy for the tumor. Methods Two published SBRT datasets were pooled and modeled from patients at Indiana University and the Richard L. Roudebush Veterans Administration Medical Center from 1998 to 2007, as well as the Karolinska Institute from 2008 to 2013. All patients in both studies were treated with SBRT for apically located lung tumors localized superior to the aortic arch. Toxicities were graded according to Common Terminology Criteria for Adverse Events, and a probit dose response model was created with maximum likelihood parameter fitting. Results This analysis includes a total of 89 brachial plexus maximum point dose (Dmax) values from both institutions. Among the 14 patients who developed brachial plexopathy, the most common complications were grade 2, comprising 7 patients. The median follow-up was 30 months (range 6.1–72.2) in the Karolinska dataset, and the Indiana dataset had a median of 13 months (range 1–71). Both studies had a median range of 3 fractions, but in the Indiana dataset, 9 patients were treated in 4 fractions, and the paper did not differentiate between the two, so our analysis is considered to be in 3–4 fractions, one of the main limitations. The probit model showed that the risk of brachial plexopathy with Dmax of 26 Gy in 3–4 fractions is 10%, and 50% with Dmax of 70 Gy in 3–4 fractions. Conclusions This analysis is only a preliminary result because more details are needed as well as additional comprehensive datasets from a much broader cross-section of clinical practices. When more institutions join the QUANTEC and HyTEC methodology of reporting sufficient details to enable data pooling, our field will finally reach an improved understanding of human dose tolerance.


1998 ◽  
Vol 31 (8) ◽  
pp. 73-78 ◽  
Author(s):  
R. Takors ◽  
D. Weuster-Botz ◽  
W. Wiechert ◽  
C. Wandrey

AIChE Journal ◽  
2005 ◽  
Vol 51 (6) ◽  
pp. 1773-1781 ◽  
Author(s):  
Sébastien Issanchou ◽  
Patrick Cognet ◽  
Michel Cabassud

2010 ◽  
Vol 25 (1) ◽  
pp. 38-41 ◽  
Author(s):  
Menachem Ben-Ezra ◽  
Yuval Palgi ◽  
Amit Shrira ◽  
Dina Sternberg ◽  
Nir Essar

AbstractIntroduction:Exposure to prolonged war stress is understudied. While there is debate regarding the empirical data of the dose-response model for post-traumatic stress disorder (PTSD), little is known about how weekly changes in external stress influences the level of PTSD symptoms. The purpose of this study was to measure the relation between objective external stress and PTSD symptoms across time, and thus, gain a deeper understating of the dose-response model.Hypothesis:The study hypothesis postulates that the more severe the external stressor, the more severe the exhibition of traumatic symptoms.Methods:Thirteen special army administrative staff (SAAS) members from the Rambam Medical Center in Haifa attended seven intervention meetings during the war. These personnel answered a battery of questionnaires regarding demographics and PTSD symptoms during each session. A non-parametric test was used in order to measure the changes in PTSD symptoms between sessions. Pearson correlations were used in order to study the relationship between the magnitude of external stressors and the severity of PTSD symptoms.Results:The results suggested that there was a significant relationship between the magnitude of external stressors and the severity of PTSD symptoms. These results are in line with the dose-response model.Conclusions:The results suggest that a pattern of decline in PTSD symptoms confirm the dose-response model for PTSD.


2007 ◽  
Vol 48 (2) ◽  
pp. 135-147 ◽  
Author(s):  
Daniela K. Nitcheva ◽  
Walter W. Piegorsch ◽  
R.Webster West

2017 ◽  
Vol 50 (2) ◽  
pp. 31-36 ◽  
Author(s):  
Duayne Strydom ◽  
Ralf R. Küsel ◽  
Ian K. Craig
Keyword(s):  

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