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,
Elisabet González-Del Portillo,
Manuel Llorente,
Natalia Carballo,
Estanislao Arana,
Víctor M. Pérez-García
Affiliations
Odelaisy León-Triana
Mathematical Oncology Laboratory (MOLAB), Department of Mathematics and Instituto de Matemática Aplicada a la Ciencia y la Ingeniería, Universidad de Castilla-La Mancha, Avda. Camilo José Cela, 3, 13071 Ciudad Real, Spain
Julián Pérez-Beteta
Mathematical Oncology Laboratory (MOLAB), Department of Mathematics and Instituto de Matemática Aplicada a la Ciencia y la Ingeniería, Universidad de Castilla-La Mancha, Avda. Camilo José Cela, 3, 13071 Ciudad Real, Spain
David Albillo
Radiology Unit, MD Anderson Cancer Center, 28033 Madrid, Spain
Ana Ortiz de Mendivil
Department of Radiation Oncology, Sanchinarro University Hospital, HM Hospitales, 28015 Madrid, Spain
Luis Pérez-Romasanta
Radiation Oncology Service, Salamanca University Hospital, 37007 Salamanca, Spain
Elisabet González-Del Portillo
Radiation Oncology Service, Salamanca University Hospital, 37007 Salamanca, Spain
Manuel Llorente
MD Anderson Cancer Center, 28033 Madrid, Spain
Natalia Carballo
MD Anderson Cancer Center, 28033 Madrid, Spain
Estanislao Arana
Fundación Instituto Valenciano de Oncología, 46009 Valencia, Spain
Víctor M. Pérez-García
Mathematical Oncology Laboratory (MOLAB), Department of Mathematics and Instituto de Matemática Aplicada a la Ciencia y la Ingeniería, Universidad de Castilla-La Mancha, Avda. Camilo José Cela, 3, 13071 Ciudad Real, Spain
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 the side effects of treatment. No mathematical model-based quantitative biomarkers have been determined for estimating prognosis. As a first step toward that goal, we describe a mathematical model of growth and response of brain metastasis to stereotactic radio surgery. The mathematical model incorporates some biological mechanisms involved in BM growth and response to SRS and allows the observed dynamics to be accurately described.
