Optimal Dose Distribution for Eradication of Heterogeneous Tumors

Volume and Heterogeneity Dependence of the Dose-Response Relationship for Head And Neck Tumours

“…However, in the clinic the opposite phenomenon is seen for some tumours: the dose-response curve becomes shallower as the tumour develops. This effect has been discussed previously (2,3,14). It was shown that also a small fraction of resistant cells can dominate the overall dose-response relationship of the tumour.…”

Optimization of the Dose Level for a Given Treatment Plan to Maximize the Complication-free Tumor Cure

“…=e − e ek − hnd − ind 2 [1] where P(D) is the probability of controlling the tumor or inducing a certain injury to an organ that is irradiated uniformly with a dose D, d=D/n is the dose per fraction and n is the number of fractions applied (2,5,8).…”

“…The new radiobiological procedure presented here estimates the probability of complication-free tumor control in radiation therapy, based on knowledge of the dose-response relations for tumors and surrounding normal tissues (1)(2)(3)(4). The evaluation assumes accurate delineation of the internal target volume and possible organs at risk.…”

On the Robustness of Global Optima and Stationary Solutions to Stochastic Mathematical Programs with Equilibrium Constraints, Part 2: Applications

“…The gEUD function is attractive from several points of view, not the least from the fact that it is convex if a ≥ 1, which is the case for organs. There are also other biologically based functions that have been used in IMRT, for example tumor control probability (TCP) (e.g., [10]), normal tissue complication probability (NTCP) (e.g., [57]), and P + ( [9]). Physically based objective functions are used in the clinic, whereas recent research focuses on biologically based functions.…”