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arXiv · 0908.2449

Generalized calculus in radiobiology: Physical implications

O. Sotolongo-Grau·D. Rodriguez-Perez·J. C. Antoranz·Oscar Sotolongo-Costa
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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.

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BibTeXRIS

O. Sotolongo-Grau, D. Rodriguez-Perez, J. C. Antoranz, Oscar Sotolongo-Costa. 2009-08-17. Generalized calculus in radiobiology: Physical implications. https://arxiv.org/abs/0908.2449

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