Determination of an inflection point for a dosimetric analysis of unflattened beam using the first principle of derivatives by python code programming

Reports of Practical Oncology and Radiotherapy : Journal of Greatpoland Cancer Center in Poznań and Polish Society of Radiation Oncology
Ravindra ShendeSubash Macherla

Abstract

Practice of Unflattened or Flattening filter free (FFF) beam has become the high dose standard in radiotherapy (RT), such as stereotactic radio-surgery (SRS) and stereotactic radiotherapy (SRT). The removal of a flattening filter (FF) from the path of a photon beam alters the characteristics of FFF beam. Since the conventional route for dosimetric analysis of FF beam cannot be applied to FFF beam, the procedure of analyzing beam characteristics for FFF beam based on inflection points (IPs) is used. IP is a point where the concavity change observed corresponds to its change in sign (±) of the second derivative. The objective of the study is to determine IPs for dosimetric analysis of the FFF beam profile. In this study, IPs are determined through the python code programming based on the mathematical first principle of the derivative. They are compared with IPs estimated by the conventional graphical manual method using Microsoft Excel (MS). IPs and their dependent dosimetric parameters determined by both mathematical and graphical manual methods are compared. Percentage differences between the IPs determined by both methods, for 6MVFFF inline and crossline beam profile are found to be 2.7% and 0.8% respectively. Similarly, the a...Continue Reading

References

Mar 23, 2006·Physics in Medicine and Biology·Oleg N VassilievMichael T Gillin
Jul 29, 2006·Medical Physics·Falk PönischRadhe Mohan
Jun 5, 2007·International Journal of Radiation Oncology, Biology, Physics·Oleg N VassilievUwe Titt
Mar 28, 2008·Physics in Medicine and Biology·Jason Cashmore
Jul 14, 2009·Radiotherapy and Oncology : Journal of the European Society for Therapeutic Radiology and Oncology·Gabriele KraglDietmar Georg
Apr 28, 2011·Medical Physics·Dietmar GeorgBrendan McClean

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Citations

Jul 6, 2021·Medical Physics·Yong-Seok LeeYoung-Nam Kang

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