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Self-consistent tumor control probability and normal tissue complication probability models based on generalized EUDa).

Publication ,  Journal Article
Zhou, S-M; Das, SK; Wang, Z; Sun, X; Dewhirst, M; Yin, F-F; Marks, LB
Published in: Med Phys
July 2007

Traditional methods to compute the tumor control probability (TCP) or normal tissue complication probability (NTCP) typically require a heterogeneous radiation dose distribution to be converted into a simple uniform dose distribution with an equivalent biological effect. Several power-law type dose-volume-histogram reduction schemes, particularly Niemierko's generalized equivalent uniform dose model [Med. Phys. 26, 1000 (1999)], have been proposed to achieve this goal. In this study, we carefully examine the mathematical outcome of these schemes. We demonstrate that (1) for tumors, with each tumor cell independently responding to local radiation dose, a closed-form analytical solution for tumor survival fraction and TCP can be obtained; (2) for serial structured normal tissues, an exponential power-law form relating survival to functional sub-unit (FSU) radiation is required, and a closed-form analytical solution for the related NTCP is provided; (3) in the case of a parallel structured normal tissue, when NTCP is determined solely by the number of the surviving FSUs, a mathematical solution is available only when there is a non-zero threshold dose and/or a finite critical dose defining the radiotherapy response. Some discussion is offered for the partial irradiation effect on normal tissues in this category; (4) for normal tissues with alternative architectures, where the radiation response of FSU is inhomogeneous, there is no exact global mathematical solution for SF or NTCP within the available schemes. Finally, numerical fits of our models to some experimental data are also presented.

Duke Scholars

Published In

Med Phys

DOI

EISSN

2473-4209

Publication Date

July 2007

Volume

34

Issue

7

Start / End Page

2807 / 2815

Location

United States

Related Subject Headings

  • Probability
  • Nuclear Medicine & Medical Imaging
  • Neoplasms
  • Models, Theoretical
  • Models, Biological
  • Humans
  • Dose-Response Relationship, Radiation
  • 5105 Medical and biological physics
  • 4003 Biomedical engineering
  • 1112 Oncology and Carcinogenesis
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Zhou, S.-M., Das, S. K., Wang, Z., Sun, X., Dewhirst, M., Yin, F.-F., & Marks, L. B. (2007). Self-consistent tumor control probability and normal tissue complication probability models based on generalized EUDa). Med Phys, 34(7), 2807–2815. https://doi.org/10.1118/1.2740010
Zhou, Su-Min, Shiva K. Das, Zhiheng Wang, Xuejun Sun, Mark Dewhirst, Fang-Fang Yin, and Lawrence B. Marks. “Self-consistent tumor control probability and normal tissue complication probability models based on generalized EUDa).Med Phys 34, no. 7 (July 2007): 2807–15. https://doi.org/10.1118/1.2740010.
Zhou S-M, Das SK, Wang Z, Sun X, Dewhirst M, Yin F-F, et al. Self-consistent tumor control probability and normal tissue complication probability models based on generalized EUDa). Med Phys. 2007 Jul;34(7):2807–15.
Zhou, Su-Min, et al. “Self-consistent tumor control probability and normal tissue complication probability models based on generalized EUDa).Med Phys, vol. 34, no. 7, July 2007, pp. 2807–15. Pubmed, doi:10.1118/1.2740010.
Zhou S-M, Das SK, Wang Z, Sun X, Dewhirst M, Yin F-F, Marks LB. Self-consistent tumor control probability and normal tissue complication probability models based on generalized EUDa). Med Phys. 2007 Jul;34(7):2807–2815.

Published In

Med Phys

DOI

EISSN

2473-4209

Publication Date

July 2007

Volume

34

Issue

7

Start / End Page

2807 / 2815

Location

United States

Related Subject Headings

  • Probability
  • Nuclear Medicine & Medical Imaging
  • Neoplasms
  • Models, Theoretical
  • Models, Biological
  • Humans
  • Dose-Response Relationship, Radiation
  • 5105 Medical and biological physics
  • 4003 Biomedical engineering
  • 1112 Oncology and Carcinogenesis