Models of CT dose profiles in Banach space; with applications to CT Dosimetry

TL;DR

This paper develops mathematical models for CT dose profiles in Banach space, combining scatter and primary components, and demonstrates their application to dosimetry with experimental validation on a 64-slice scanner.

Contribution

It introduces a novel mathematical framework for modeling CT dose profiles in Banach space and applies it to practical dosimetry measurements, linking different chamber types.

Findings

Models accurately fit data from O-arm system

Pencil and farmer chambers yield equivalent dosimetry results

Preliminary experimental data supports the models' validity

Abstract

This paper consists of two parts.In the first part, the scatter components of computed tomograpahy dose profiles are modeled using various functions including the solution to Riccati's differential equation. These scatter functions are combined with primary components such as a trapezoidal function and a constructed function that uses the analytic continuation of Heaviside step function. A mathematical theory is developed in Banach space. The modeled function is used to accurately fit data from the O-arm cone beam imaging system. In a second part of the paper, an approach to dosimtery is developed that shows that the results obtained from the use of a pencil shaped ion chamber is equivalent to that from a farmer chamber. This result is verified by presenting some preliminary experimental data measured in a 64 slice Siemens Sensation scanner.