1991
DOI: 10.1016/0360-3016(91)90173-2
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Histogram reduction method for calculating complication probabilities for three-dimensional treatment planning evaluations

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Cited by 499 publications
(230 citation statements)
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“…Lyman–Kutcher–Burman (LKB) methodology was used to determine the predicted rectal toxicity rates for each beam arrangement 32. The LKB model describes the normal tissue complication probability (NTCP) after uniform radiation of a fractional volume ( v ) of normal tissue to a dose ( D ) using the equation:NTCP=12italicπfalse∫tex22dx,wheret=gEUDTD50m·TD50, TD 50 is the dose at which there is a 50% probability of developing a specified grade and type of rectal complication after uniform whole‐organ irradiation, m models the slope of the dose–response curve for this specific toxicity.…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…Lyman–Kutcher–Burman (LKB) methodology was used to determine the predicted rectal toxicity rates for each beam arrangement 32. The LKB model describes the normal tissue complication probability (NTCP) after uniform radiation of a fractional volume ( v ) of normal tissue to a dose ( D ) using the equation:NTCP=12italicπfalse∫tex22dx,wheret=gEUDTD50m·TD50, TD 50 is the dose at which there is a 50% probability of developing a specified grade and type of rectal complication after uniform whole‐organ irradiation, m models the slope of the dose–response curve for this specific toxicity.…”
Section: Methodsmentioning
confidence: 99%
“…The LKB model describes the normal tissue complication probability (NTCP) after uniform radiation of a fractional volume ( v ) of normal tissue to a dose ( D ) using the equation:NTCP=12italicπfalse∫tex22dx,wheret=gEUDTD50m·TD50, TD 50 is the dose at which there is a 50% probability of developing a specified grade and type of rectal complication after uniform whole‐organ irradiation, m models the slope of the dose–response curve for this specific toxicity. The term gEUD is the generalized equivalent uniform dose which accounts for the fact that the rectum does not receive a uniform dose during treatment and is calculated according to the Kutcher–Burman histogram dose reduction method,32 gEUD=][1Nvoxelsfalse∑i=1NvoxelsDi1/nn,where N voxels is the number of voxels, D i is the dose to the i th voxel, and n is the volume effect factor, which models how the tolerance dose changes as the fractional volume of the rectum irradiated changes. To evaluate a minimum of grade 2 rectal toxicity, QUANTEC‐recommended parameters were used 33.…”
Section: Methodsmentioning
confidence: 99%
“…( 13 ) The cell survival probability is given by: S=exp(E) where the biological effect of radiation effect E can be expressed as: E=nd(α+βd) …”
Section: Methodsmentioning
confidence: 99%
“…The effective volume method of Kutcher et al (10) was used to generate effective doses and volumes that apply Lyman's (11) theory with Burman et al's (12) parameterization to calculate normal tissue complication probabilities (NTCP). Classically, this model is written as follows: MJX-TeXAtom-ORDNTCP=MJX-TeXAtom-ORD12πtexp(t22)dt, where, for effective volume v,t=(DTD50(v))/(m×TD50(v)) and TD50(v)=TD50(1)×vn …”
Section: Methodsmentioning
confidence: 99%