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 and Víctor M. Pérez-García
Additional contact information
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

Mathematics, 2021, vol. 9, issue 7, 1-19

Abstract: 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.

Keywords: brain metastasis; mathematical modeling; mathematical oncology; ordinary differential equation; stereotactic radio surgery (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/7/716/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/7/716/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:9:y:2021:i:7:p:716-:d:524410

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().