Mathematical model of glioma evolution and treatmente by chemo and radiotherapy

ALEJANDRO SOBA; EMMANUEL LUJÁN; CECILIA SUÁREZ; KATHIUSKA DÍAZ; GUILLERMO MARSHALL

Mar del Plata

Congreso; Congreso Argentino de Bioinformática y Biología Computacional; 2018

Asociación Argentina de Bioinformática y Biología Computacional

Gliomas are the primary brain tumors most common in adults and, among them, glioblastoma multiforme is the most aggressive one, specially due to its great invasive capacity and high recurrence rate. Its mean estimated survival is of 15 months even with present combined therapies of surgeryand Stupp protocol (temozolomide plus fractionated radiotherapy). This sets a challenge to present neurooncology, and the necessity of a personalized and interdisciplinary therapeutic approach. In the last decades, several mathematical models of solid tumor growth and treatment have been developed based on reaction-diffusion equations that have proved to be of clinical relevance. In a previous work,we have presented a patient-specific glioma growth numerical model of this type [1]. In this work, we included the effect of a chemotherapy with temozolomide and a fractionated radiotherapy, by means of correspondent loss terms. Radiotherapy follows a linear-quadratic model that estimates the effect of total dosage (fractionated in time) of gamma radiation through the survival probability of the tumor cell subjected to it. For chemotherapy, a log-kill hypothesis with tissue-sensitivity heterogeneity was considered. Our theoretical results were compared with previous ones from bibliography.