CRITICAL CHARACTERISTICS CALCULATIUONS OF THE DISTRIBUTIONS OF ANTICANCER THERAPY CONVENTIONAL INDICATORS ( MEDIAN SURVIVAL, TUMOR GROWTH INHIBITION) AND EVALUATION OF THEIR SIGNIFICANCE BASED ON THE PROBABILITY DISTRIBUION DENSITY FUNCTIONS MODELING

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Abstract

Critical parameters of the distributions rates of inhibition of tumor growth (ITG) indices and increasing median survival (IMS), which are adopted in pre-clinical practice for evaluation of the anticancer potential of original substances were accurately ascertained in experiments in vivo . Under the package Mathematica 9, software modules were created which allowed to assess the statistical reliability of the ITG indicator at the levels of 70% and 90 %, and the IMS rate at the levels of 50 % and 75 %, to calculate the mathematical expectation and confidence intervals for ITG and IMS indicators at any level of the effect, to compare the effectiveness of several drugs based on mathematical expectations and confidence intervals calculated for their ITG and IMS indicators in case of close location of the corresponding formal values, and carry out priori tests on the significance of ITG and IMS taking into account the main influencing factors: variation of parameters in experimental groups and size of experimental and control groups.

About the authors

V. N. Aldobaev

Research Center for Toxicology and Hygiene Regulation of Bio preparations” – affiliated to the National Research Center «Institute of Immunology», Federal Medical-Biological Agency of Russia

Author for correspondence.
Email: noemail@neicon.ru
Russian Federation

A. A. Maslikov

«Dubna University»

Email: noemail@neicon.ru
Russian Federation

L. A. Eremenko

Research Center for Toxicology and Hygiene Regulation of Bio preparations” – affiliated to the National Research Center «Institute of Immunology», Federal Medical-Biological Agency of Russia

Email: noemail@neicon.ru
Russian Federation

A. A. Mazanova

Research Center for Toxicology and Hygiene Regulation of Bio preparations” – affiliated to the National Research Center «Institute of Immunology», Federal Medical-Biological Agency of Russia

Email: noemail@neicon.ru
Russian Federation

References

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  2. Гмурман В.Е. Теория вероятностей и математическая статистика: Учебное пособие для вузов. 7-е изд., стереотип. М.: ВШ; 2001.
  3. Jackman S. Bayesian Analysis for the Social Sciences, Wiley; 2009: 507.

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Copyright (c) 2017 Aldobaev V.N., Maslikov A.A., Eremenko L.A., Mazanova A.A.



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