Brain Metastasis Response to Stereotactic Radio Surgery: A Mathematical Approach
Odelaisy León-Triana, Julián Pérez-Beteta , David Albillo, Ana Ortiz de Mendivil, Luis Pérez-Romasanta, Estanislao Arana, Víctor M Pérez-García
Mathematics (2020, submitted)
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.