Linear quadratic and tumour control probability modelling in external beam radiotherapy

The standard linear-quadratic (LQ) survival model for external beam radiotherapy is reviewed with particular emphasis on studying how different schedules of radiation treatment planning may be affected by different tumour repopulation kinetics. The LQ model is further examined in the context of tumo...

Full description

Saved in:
Bibliographic Details
Published in:Journal of mathematical biology 2009-04, Vol.58 (4-5), p.799-817
Main Authors: O'Rourke, S. F. C, McAneney, H, Hillen, T
Format: Article
Language:English
Subjects:
Applications of Mathematics
BED
Cell Cycle
Computer Simulation
fractionation
Humans
Linear Models
Linear quadratic
Mathematical and Computational Biology
Mathematical Concepts
Mathematics
Mathematics and Statistics
Models, Biological
Models, Statistical
Neoplasms - pathology
Neoplasms - radiotherapy
Radiobiology - statistics & numerical data
radiotherapy
Radiotherapy Planning, Computer-Assisted - statistics & numerical data
Repopulation
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The standard linear-quadratic (LQ) survival model for external beam radiotherapy is reviewed with particular emphasis on studying how different schedules of radiation treatment planning may be affected by different tumour repopulation kinetics. The LQ model is further examined in the context of tumour control probability (TCP) models. The application of the Zaider and Minerbo non-Poissonian TCP model incorporating the effect of cellular repopulation is reviewed. In particular the recent development of a cell cycle model within the original Zaider and Minerbo TCP formalism is highlighted. Application of this TCP cell-cycle model in clinical treatment plans is explored and analysed.
ISSN:0303-6812
1432-1416
DOI:10.1007/s00285-008-0222-y