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A polynomial approximation to an exponential growth function for calculating equilibrium dose in CT.

Victor J Weir1, Jie Zhang2

  • 1Baylor Scott and White Healthcare System, Medical Physics and Radiation Safety, Baylor Health Care System, 4004 Worth Street, Suite 200, Dallas, TX 75246, United States of America.

Physics in Medicine and Biology
|October 16, 2020
PubMed
Summary

We developed a polynomial method to estimate equilibrium dose in wide beam CT dosimetry, simplifying calculations for accurate dose measurements. This approach offers a practical alternative for clinical applications.

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Area of Science:

  • Medical Physics
  • Radiological Dosimetry
  • Computed Tomography

Background:

  • Accurate dose assessment in wide beam CT is crucial for patient safety.
  • The AAPM TG111 method relies on exponential growth functions, which can be complex to implement.
  • Approximating these functions can streamline dose calculations.

Purpose of the Study:

  • To propose and evaluate a polynomial approximation for equilibrium dose in wide beam CT dosimetry.
  • To simplify the calculation of equilibrium dose and length constants.
  • To provide a practical method for point dose measurements in CT scanners.

Main Methods:

  • Derived a polynomial formula for equilibrium dose by Taylor series expansion of the exponential growth function.
  • Obtained polynomial coefficients from point dose data fits.
  • Calculated equilibrium dose and length constants using the derived formula.
  • Validated the polynomial approximation against measured data on a GE Revolution CT scanner using various phantoms and beam widths.

Main Results:

  • The polynomial approximation formula incorporates up to 3rd order polynomial fits.
  • A length constant of [Formula: see text] was determined for various filters on the GE scanner.
  • The estimated equilibrium dose using the polynomial method showed good agreement (83.14%-90.38%) with the growth function fit.
  • Tables of equilibrium dose and length constants, along with fit plots, were presented.

Conclusions:

  • The proposed polynomial-based method provides a readily implementable approach for estimating equilibrium dose in wide beam CT.
  • This method simplifies dose calculations and can be practically applied for point dose measurements.
  • The findings contribute to improved accuracy and efficiency in CT dosimetry.