Brain Metastasis Response to Stereotactic Radio Surgery: A Mathematical Approach
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 (ste...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-03-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/7/716 |
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| author | 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 |
| author_facet | 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 |
| author_sort | Odelaisy León-Triana |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T12:53:01Z |
| format | Article |
| id | doaj.art-366f372369c04ecc911249264b188db0 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T12:53:01Z |
| publishDate | 2021-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-366f372369c04ecc911249264b188db02023-11-21T12:05:41ZengMDPI AGMathematics2227-73902021-03-019771610.3390/math9070716Brain Metastasis Response to Stereotactic Radio Surgery: A Mathematical ApproachOdelaisy León-Triana0Julián Pérez-Beteta 1David Albillo2Ana Ortiz de Mendivil3Luis Pérez-Romasanta4Elisabet González-Del Portillo5Manuel Llorente6Natalia Carballo7Estanislao Arana8Víctor M. Pérez-García9Mathematical 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, SpainMathematical 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, SpainRadiology Unit, MD Anderson Cancer Center, 28033 Madrid, SpainDepartment of Radiation Oncology, Sanchinarro University Hospital, HM Hospitales, 28015 Madrid, SpainRadiation Oncology Service, Salamanca University Hospital, 37007 Salamanca, SpainRadiation Oncology Service, Salamanca University Hospital, 37007 Salamanca, SpainMD Anderson Cancer Center, 28033 Madrid, SpainMD Anderson Cancer Center, 28033 Madrid, SpainFundación Instituto Valenciano de Oncología, 46009 Valencia, SpainMathematical 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, SpainBrain 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.https://www.mdpi.com/2227-7390/9/7/716brain metastasismathematical modelingmathematical oncologyordinary differential equationstereotactic radio surgery |
| spellingShingle | 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 Brain Metastasis Response to Stereotactic Radio Surgery: A Mathematical Approach Mathematics brain metastasis mathematical modeling mathematical oncology ordinary differential equation stereotactic radio surgery |
| title | Brain Metastasis Response to Stereotactic Radio Surgery: A Mathematical Approach |
| title_full | Brain Metastasis Response to Stereotactic Radio Surgery: A Mathematical Approach |
| title_fullStr | Brain Metastasis Response to Stereotactic Radio Surgery: A Mathematical Approach |
| title_full_unstemmed | Brain Metastasis Response to Stereotactic Radio Surgery: A Mathematical Approach |
| title_short | Brain Metastasis Response to Stereotactic Radio Surgery: A Mathematical Approach |
| title_sort | brain metastasis response to stereotactic radio surgery a mathematical approach |
| topic | brain metastasis mathematical modeling mathematical oncology ordinary differential equation stereotactic radio surgery |
| url | https://www.mdpi.com/2227-7390/9/7/716 |
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