DR.Goitein: Function that calculates NTCP according Goitein (Bentzen)...
In kbolab/moddicom: Package for handling DICOM RT files

Description Usage Arguments Details Value References

This function calculates the Normal Tissue Complication Probability according the Goitein (Bentzen) model.

1	DR.Goitein(doses, TD50 = 45, gamma50 = 1.5, a = 1)

`doses`	Either a `dvhmatrix` class object or a vector with nominal doses
`TD50`	The value of dose that gives the 50% of probability of outcome
`gamma50`	The slope of dose/response curve at 50% of probability
`a`	Value for parallel-serial correlation in radiobiological response

This model is similar to Lyman model but it is function of logarithm of the Dose. Starting from the implementation of Lyman model:

NTCP=1/√{2π}\int_{-∞}^{t}exp(-x^2/2)dx

where:

v=\frac{V}{V_{ref}}

t=(log(D)-TD_{50}(v))/(m*TD_{50}(v))

TD(v)=TD(1)*v-n

In previous equations V is the irradiated fraction volume and V_{ref} is the referenced volume for the given outcome, m is another way to describe the slope of dose-response curve (see following lines). In the moddicom implementation the parameters to be set in the model are TD_{50} and γ_{50}. The model has been coded by adapting the original formula using these parameters in this way:

t=(log(EUD)-TD_{50})/(m*TD_{50})

with:

m=\frac{1}{γ_{50}√{2π}}

D can be either the nominal dose or the EUD as calculated by DVH.eud function.

A vector with NTCP(s) calculated according Goitein model.

Shipley WU, Tepper JE, Prout GR Jr, Verhey LJ, Mendiondo OA, Goitein M, Koehler AM, Suit HD. Proton radiation as boost therapy for localized prostatic carcinoma. JAMA. 1979 May 4;241(18):1912-5. PubMed PMID: 107338.

Bentzen SM, Tucker SL. Quantifying the position and steepness of radiation dose-response curves. Int J Radiat Biol. 1997 May;71(5):531-42. Review. PubMed PMID: 9191898.

kbolab/moddicom documentation built on Nov. 29, 2020, 9:11 p.m.