DR.Okunieff: Function that calculates TCP according Okunieff model

Description Usage Arguments Details Value References

Description

This function calculates the Tumor Control Probability according the Okunieff model.

Usage

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

Arguments

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

Details

This model is the equivalent of the logistic generalized linear model where the covariates and their coefficients have been reported as function of TD_{50} and γ_{50}. The original Okunieff formula is the following:

TCP=\frac{e^{\frac{D-TD_{50}}{k}}}{1+e^{\frac{D-TD_{50}}{k}}}

where k=γ_{50}/(4*TD_{50}) and so giving the final model as direct function of TD_{50} and γ_{50}:

TCP=\frac{1}{1+e^{4γ_{50}(1-\frac{D}{TD_{50}})}}

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

Value

A vector with TCP calculated according Munro/Gilbert/Kallman model.

References

Okunieff P, Morgan D, Niemierko A, Suit HD. Radiation dose-response of human tumors. Int J Radiat Oncol Biol Phys. 1995 Jul 15;32(4):1227-37. PubMed PMID: 7607946.


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