American Journal of Applied Mathematics and Statistics
ISSN (Print): 2328-7306 ISSN (Online): 2328-7292 Website: http://www.sciepub.com/journal/ajams Editor-in-chief: Mohamed Seddeek
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American Journal of Applied Mathematics and Statistics. 2017, 5(4), 115-118
DOI: 10.12691/ajams-5-4-1
Open AccessArticle

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

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References:

[1]  Jang S., Frometa-Castillo T., Pyakuryal A., Sio T.,et al., “The Statistical NTCP and TCP models in the Proton therapy”; Med. Phys. 43, 3451. 2016.
 
[2]  Report of AAPM TG 166, “The Use and QA of Biologically Related Models for Treatment Planning”. 2012.
 
[3]  Niemierko A., Goitein M., “Calculation of normal tissue complication probability and dose volume histogram reduction schemes for tissues with a critical element architecture”, Radiother Oncol. 20(3):166-176, 1991.
 
[4]  Gay H.A., Niemierko A., “A free program for calculation EUD-based NTCP and TCP in external beam radiotherapy”, PhysicaMedica 23, 115-125, 2007.
 
[5]  Marks L.B., Bentzen S.M., Deasy J.O., et al., “Radiation dose-volume effects in the lung”, Int J. Radiation Oncology Biol. Phys. Vol. 76 No. 3, Supplement, pp. S70-S76, 2010.
 
[6]  Mayo C., Martel M.K., Marks L.B.. et al., “Radiation dose-volume effects of optic nerves and 474 chiasm”, Int J. Radiation Oncology Biol. Phys. Vol. 76 No. 3, Supplement, pp. S28-S35, 475 2010.