Non-extensive radiobiology

Journal Article · Mon Mar 14 04:00:00 EDT 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3573620· OSTI ID:21506988

Sotolongo-Grau, O; Rodriguez-Perez, D ^[1]; Antoranz, J C ^[1]; Sotolongo-Costa, O ^[2]

---

1. UNED, Departamento de Fisica Matematica y de Fluidos (Spain)
2. UH, Catedra de Sistemas Complejos Henri Poincare (Cuba)

The expression of survival factors for radiation damaged cells is based on probabilistic assumptions and experimentally fitted for each tumor, radiation and conditions. Here we show how the simplest of these radiobiological models can be derived from the maximum entropy principle of the classical Boltzmann-Gibbs expression. We extend this derivation using the Tsallis entropy and a cutoff hypothesis, motivated by clinical observations. A generalization of the exponential, the logarithm and the product to a non-extensive framework, provides a simple formula for the survival fraction corresponding to the application of several radiation doses on a living tissue. The obtained expression shows a remarkable agreement with the experimental data found in the literature, also providing a new interpretation of some of the parameters introduced anew. It is also shown how the presented formalism may have direct application in radiotherapy treatment optimization through the definition of the potential effect difference, simply calculated between the tumour and the surrounding tissue.

• OSTI ID: 21506988
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1305; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

63 RADIATION, THERMAL, AND OTHER ENVIRON. POLLUTANT EFFECTS ON LIVING ORGS. AND BIOL. MAT.
ANIMAL CELLS
BIOLOGICAL EFFECTS
BIOLOGICAL RADIATION EFFECTS
BIOLOGY
CALCULATION METHODS
DISEASES
DOSES
ENTROPY
HYPOTHESIS
IONIZATION
MEDICINE
NEOPLASMS
NUCLEAR MEDICINE
OPTIMIZATION
PHYSICAL PROPERTIES
PROBABILISTIC ESTIMATION
PROBABILITY
RADIATION DOSES
RADIATION EFFECTS
RADIOBIOLOGY
RADIOLOGY
RADIOTHERAPY
SURVIVAL CURVES
THERAPY
THERMODYNAMIC PROPERTIES