IOP PUBLISHING PHYSICS IN MEDICINE AND BIOLOGY
Phys. Med. Biol. 54 (2009) 187–206 doi:10.1088/0031-9155/54/2/002
Predicting the clonogenic survival of A549 cells after
modulated x-ray irradiation using the linear quadratic
model
Regina Bromley
1,3
, Lyn Oliver
1,3
, Ross Davey
2
, Rozelle Harvie
2
and Clive Baldock
3
1
Northern Sydney Cancer Centre, Radiation Oncology, Royal North Shore Hospital, Sydney,
NSW 2065, Australia
2
Department of Medical Oncology, Bill Walsh Cancer Research Laboratories,
Royal North Shore Hospital, Sydney, NSW 2065, Australia
3
Institute of Medical Physics, School of Physics, Sydney University, NSW 2006, Australia
Received 30 April 2008, in final form 6 November 2008
Published 16 December 2008
Online at stacks.iop.org/PMB/54/187
Abstract
In this study we present two prediction methods, mean dose and summed dose,
for predicting the number of A549 cells that will survive after modulated x-
ray irradiation. The prediction methods incorporate the dose profile from the
modulated x-ray fluence map applied across the cell sample and the linear
quadratic (LQ) model. We investigated the clonogenic survival of A549 cells
when irradiated using two different modulated x-ray fluence maps. Differences
between the measured and predicted surviving fraction were observed for
modulated x-ray irradiation. When the x-ray fluence map produced a steep
dose gradient across the sample, fewer cells survived in the unirradiated region
than expected. When the x-ray fluence map produced a less steep dose gradient
across the sample, more cells survived in the unirradiated region than expected.
Regardless of the steepness of the dose gradient, more cells survived in the
irradiated region than expected for the reference dose range of 1–10 Gy. The
change in the cell survival for the unirradiated regions of the two different dose
gradients may be an important factor to consider when predicting the number of
cells that will survive at the edge of modulated x-ray fields. This investigation
provides an improved method of predicting cell survival for modulated x-ray
radiation treatment. It highlights the limitations of the LQ model, particularly
in its ability to describe the biological response of cells irradiated under these
conditions.
Introduction
The aim of radiotherapy is to eliminate malignant cells while preserving normal tissues. The
ability to deliver a high enough dose to eliminate all malignant cells, or to achieve maximum
tumour control, is limited by the radiation dose the normal surrounding tissues and organs
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