Generalized calculus in radiobiology: Physical implications
Abstract
Non-extensive statistical physics has allowed to generalize mathematical functions such as exponential and logarithms. The same framework is used to generalize sum and product so that the operations allow a more fluid way to work with mathematical expressions emerging from non-additive formulation of statistical physics. In this work we employ the generalization of the exponential, logarithm and product to obtain a formula for the survival fraction corresponding to the application of several radiation doses on a living tissue. Also we provide experimental recommendations to determine the universal characteristics of living tissues in interaction with radiation. These results have a potential application in radiobiology and radiation oncology.
Cite
@article{arxiv.0908.2449,
title = {Generalized calculus in radiobiology: Physical implications},
author = {O. Sotolongo-Grau and D. Rodriguez-Perez and J. C. Antoranz and Oscar Sotolongo-Costa},
journal= {arXiv preprint arXiv:0908.2449},
year = {2009}
}
Comments
To be submmited for publication