Mathematical model predicts response to radiotherapy of grade II gliomas

Optimal radiation fractionation for low-grade gliomas: Insights from a mathematical model

“…In this paper we want to study the problem of therapy planning from a mathematical point of view taking as a basis the models of Pérez-García et al [24] and Pérez-Romasanta et al [26]. To do so, we will pose a precise optimization problem and study how should radiation doses be distributed to get the best tumor control while keeping toxicity at the same levels as with the standard treatment.…”

Mathematical models for low-grade gliomas predict alternative radiotherapy fractionations with improved survival

“…[6,7] we have studied the response of the mathematical model given by Eqs. (1) and (2) and have compared the outcome to the known clinical phenomenology.…”

“…[6,7] are very promising, it is not possible to test this kind of hypotheses in real patients without previous experimental validation.…”

“…In this abstract I will summarize our results on a mathematical model able to describe the known phenomenology of the response of LGGs to radiotherapy, and its application to develop novel treatment schemes [6][7][8][9].…”

Optimal control of a two-equation model of radiotherapy

“…After the action of radiation, they are not able to repair the DNA damage. Therefore, they die after some time that depends on t p and the 118 ENRIQUE FERNÁNDEZ-CARA, JUAN LÍMACO AND LAURENT PROUVÉE amount of mitosis cycles that they are able to complete, denoted k in this paper (for more details, see [21]).…”