Brain Metastasis Response to Stereotactic Radio Surgery: A Mathematical Approach
O. León-Triana, J. Pérez-Beteta, D. Albillo, A. Ortiz de Mendivil, L.A. Pérez-Romasanta, E. González del Portillo, M. Llorente, N. Carballo, E. Arana, V.M. Pérez-García
Mathematics 9(7) 716 (2021)
Brain metastases (BMs) are cancer cells that spread to the brain from primary tumors in other organs. Up to 35\% of adult cancer patients develop BMs. The treatment of BM patients who have well-controlled extracranial disease and a small number of lesions consists of localized doses of radiation (Stereotactic Radio Surgery - SRS). Estimating prognosis among BM patients may allow treatments to be chosen that balance durability of intracranial tumor control with quality of life and side effects of treatment. No mathematical-model-based quantitative biomarkers have been developed for prognosis estimation. As a first step towards that task in this work we put forward a mathematical model of growth and response of brain metastasis to stereotactic radio surgery. The mathematical model incorporates a few biological mechanisms involved in BM growth and response to SRS and allows to describe accurately the different observed dynamics.