On the biologically effective dose (BED)-using convolution for calculating the effects of repair: I. Analytical considerations.
(2013) In Physics in Medicine and Biology 58(5). p.1507-1527- Abstract
- This work presents a new mathematical formulation of biologically effective dose (BED) for radiation therapy where effects of repair need to be considered. The formulation is based on the observation that the effects of repair, both during protracted irradiation and of incomplete repair between fractions, can be written using a convolution, i.e. [Formula: see text] where T is the total irradiation time, R(T)(t) is the absorbed dose rate as a function of time t and I(t) is the function describing repair. To validate this formulation, the previously published expressions for instant and protracted irradiation are first summarized. Then, by analytical derivation, it is shown that the new formulation gives identical results. The calculation of... (More)
- This work presents a new mathematical formulation of biologically effective dose (BED) for radiation therapy where effects of repair need to be considered. The formulation is based on the observation that the effects of repair, both during protracted irradiation and of incomplete repair between fractions, can be written using a convolution, i.e. [Formula: see text] where T is the total irradiation time, R(T)(t) is the absorbed dose rate as a function of time t and I(t) is the function describing repair. To validate this formulation, the previously published expressions for instant and protracted irradiation are first summarized. Then, by analytical derivation, it is shown that the new formulation gives identical results. The calculation of BED can thus be treated within one single mathematical framework, applicable in external beam therapy, brachytherapy, radionuclide therapy, or a combination of these treatment modalities. Moreover, the new formulation allows for a straightforward incorporation of different repair models and has the advantage of being numerically applicable. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/3559877
- author
- Gustafsson, Johan Ruben LU ; Nilsson, Per LU and Sjögreen Gleisner, Katarina LU
- organization
- publishing date
- 2013
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physics in Medicine and Biology
- volume
- 58
- issue
- 5
- pages
- 1507 - 1527
- publisher
- IOP Publishing
- external identifiers
-
- wos:000315191400022
- pmid:23403468
- scopus:84880957341
- pmid:23403468
- ISSN
- 1361-6560
- DOI
- 10.1088/0031-9155/58/5/1507
- language
- English
- LU publication?
- yes
- additional info
- The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Radiation Physics, Lund (013034000), Reconstructive Surgery (013240300)
- id
- d4b1532e-35c7-4535-90a8-f81f3591bc41 (old id 3559877)
- alternative location
- http://www.ncbi.nlm.nih.gov/pubmed/23403468?dopt=Abstract
- date added to LUP
- 2016-04-01 10:57:15
- date last changed
- 2022-03-20 01:32:37
@article{d4b1532e-35c7-4535-90a8-f81f3591bc41, abstract = {{This work presents a new mathematical formulation of biologically effective dose (BED) for radiation therapy where effects of repair need to be considered. The formulation is based on the observation that the effects of repair, both during protracted irradiation and of incomplete repair between fractions, can be written using a convolution, i.e. [Formula: see text] where T is the total irradiation time, R(T)(t) is the absorbed dose rate as a function of time t and I(t) is the function describing repair. To validate this formulation, the previously published expressions for instant and protracted irradiation are first summarized. Then, by analytical derivation, it is shown that the new formulation gives identical results. The calculation of BED can thus be treated within one single mathematical framework, applicable in external beam therapy, brachytherapy, radionuclide therapy, or a combination of these treatment modalities. Moreover, the new formulation allows for a straightforward incorporation of different repair models and has the advantage of being numerically applicable.}}, author = {{Gustafsson, Johan Ruben and Nilsson, Per and Sjögreen Gleisner, Katarina}}, issn = {{1361-6560}}, language = {{eng}}, number = {{5}}, pages = {{1507--1527}}, publisher = {{IOP Publishing}}, series = {{Physics in Medicine and Biology}}, title = {{On the biologically effective dose (BED)-using convolution for calculating the effects of repair: I. Analytical considerations.}}, url = {{http://dx.doi.org/10.1088/0031-9155/58/5/1507}}, doi = {{10.1088/0031-9155/58/5/1507}}, volume = {{58}}, year = {{2013}}, }