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Computational and Mathematical Methods in Medicine
Volume 2014 (2014), Article ID 182935, 7 pages
Research Article

Impact of Dose and Sensitivity Heterogeneity on TCP

1Medical Radiation Physics, Stockholm University, 106 91 Stockholm, Sweden
2Department of Oncology and Pathology, Karolinska Institutet, P.O. Box 260, 171 76 Stockholm, Sweden

Received 15 January 2014; Accepted 15 April 2014; Published 12 May 2014

Academic Editor: Chris Bauch

Copyright © 2014 Kristin Wiklund et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This present paper presents an analytical description and numerical simulations of the influence of macroscopic intercell dose variations and intercell sensitivity variations on the probability of controlling the tumour. Computer simulations of tumour control probability accounting for heterogeneity in dose and radiation sensitivity were performed. An analytical expression for tumor control probability accounting for heterogeneity in sensitivity was also proposed and validated against simulations. The results show good agreement between numerical simulations and the calculated TCP using the proposed analytical expression for the case of a heterogeneous dose and sensitivity distributions. When the intratumour variations of dose and sensitivity are taken into account, the total dose required for achieving the same level of control as for the case of homogeneous distribution is only slightly higher, the influence of the variations in the two factors taken into account being additive. The results of this study show that the interplay between cell or tumour variation in the sensitivity to radiation and the inherent heterogeneity in dose distribution is highly complex and therefore should be taken into account when predicting the outcome of a given treatment in terms of tumor control probability.