Description Usage Arguments Details Value References
This function calculates the Tumor Control Probability according the Okunieff model.
1 | DR.Okunieff(doses, TD50 = 45, gamma50 = 1.5, a = 1)
|
doses |
Either a |
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 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.
A vector with TCP calculated according Munro/Gilbert/Kallman model.
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.
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