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American Journal of Applied Mathematics and Statistics. 2017, 5(4), 115-118
DOI: 10.12691/AJAMS-5-4-1
Original Research

The Statistical Models Project (SMp) Normal Tissue Complication Probability (NTCP) Model and Parameters

Terman Frometa-Castillo1,

1Oncology Hospital of Santiago of Cuba, 6134 N Oakley Ave Unit 2, Chicago, IL, USA

Pub. Date: November 07, 2017

Cite this paper

Terman Frometa-Castillo. The Statistical Models Project (SMp) Normal Tissue Complication Probability (NTCP) Model and Parameters. American Journal of Applied Mathematics and Statistics. 2017; 5(4):115-118. doi: 10.12691/AJAMS-5-4-1

Abstract

We provide the most current results of the statistical models project (SMp) related to probabilistic-mechanistic NTCP models for evaluating radiation injury (RI), and discuss some problems of the current radiobiological concepts and models, The SMp NTCP models in function of dose of reference (Dref) were formulated. The SMp (Dref) were used two QUANTEC studies. The SMp will provide of less complex and advantageous models and parameters. Given their unquestionable common elements with the Lyman-Kutcher-Burman (LKB) and sigmoid models derived from logistic functions, they will be applicable; and according to negative remarks pointed out, the well-established, clinically validated, NTCP models in clinical radiobiology, even the SMp NTCP models could replace to these. Until date for fitting real datasets concerning radiation injuries have been used mathematical models that have some similarities with the probabilistic models. All datasets, which have been fitted with mathematical models that have similarities with probabilistic functions (PFs) can also be fitted with PFs.

Keywords

NTCP, LKB model, sigmoid models, stochastic effects, QUANTEC

Copyright

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

References

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