Radiotherapy Biological Tumor Control Probability Integral Equation Model with Analytic Determination

The research objective was to obtain a fast/simple analytic solution for previously published Radiotherapy Tumor Control Probability (TCP) Integral Model by other authors. Finding, firstly, is new/simpler Function than Poisson distribution of survival clonogens which developed from classical biological model algebraic/numerically modified equation. Solution obtained this alternative based on Binomial equation approximation literature. Result, thus, its use developing fast/analytic the 2D [ α and β modelling parameters ] Cumulative TCP. Gaussian Normal convolution implemented with into integral sort longer/programming numerical methods determine an analytical expression. As complete result, formulation TCP Erf functions obtained. Applications radiotherapy treatment planning optimization improvements models are explained.