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Brain Metastasis Response to Stereotactic Radio Surgery: A Mathematical Approach

Author

Listed:
  • 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
    Joint senior authors.)

  • 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
    Joint senior authors.)

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.

Suggested Citation

  • 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 & Víc, 2021. "Brain Metastasis Response to Stereotactic Radio Surgery: A Mathematical Approach," Mathematics, MDPI, vol. 9(7), pages 1-19, March.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:7:p:716-:d:524410
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    References listed on IDEAS

    as
    1. Paul T E Cusack, 2020. "The Human Brain," Biomedical Journal of Scientific & Technical Research, Biomedical Research Network+, LLC, vol. 31(3), pages 24261-24266, October.
    2. G Wayne Brodland & Jim H Veldhuis, 2012. "The Mechanics of Metastasis: Insights from a Computational Model," PLOS ONE, Public Library of Science, vol. 7(9), pages 1-11, September.
    3. Paul K Newton & Jeremy Mason & Kelly Bethel & Lyudmila A Bazhenova & Jorge Nieva & Peter Kuhn, 2012. "A Stochastic Markov Chain Model to Describe Lung Cancer Growth and Metastasis," PLOS ONE, Public Library of Science, vol. 7(4), pages 1-18, April.
    Full references (including those not matched with items on IDEAS)

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