Structural Derivative Model for Tissue Radiation Response

Journal Title: JOURNAL OF ADVANCES IN PHYSICS - Year 2017, Vol 13, Issue 4

Abstract

By means of a recently-proposed metric or structural derivative, called scale-q-derivative approach,we formulate differential equation that models the cell death by a radiation exposure in tumor treatments. The considered independent variable here is the absorbed radiation dose D instead of usual time. The survival factor, FS, for radiation damaged cell obtained here is in agreement with the literature on the maximum entropy principle, as it was recently shown and also exhibits an excellent agreement with the experimental data. Moreover, the well-known linear and quadratic models are obtained. With this approach, we give a step forward and suggest other expressions for survival factors that are dependent on the complex tumor structure.

Authors and Affiliations

Jose Weberszpil, Oscar Sotolongo-Costa

Keywords

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  • EP ID EP653345
  • DOI 10.24297/jap.v13i4.5980
  • Views 72
  • Downloads 0

How To Cite

Jose Weberszpil, Oscar Sotolongo-Costa (2017). Structural Derivative Model for Tissue Radiation Response. JOURNAL OF ADVANCES IN PHYSICS, 13(4), 4779-4785. https://europub.co.uk./articles/-A-653345