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Mathematical Modeling of Tumor Malignancy in Bone Microenvironment

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Methods of Mathematical Oncology (MMDS 2020)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 370))

Abstract

We construct a multi-scaled mathematical model of tumor malignancy in bone microenvironment including tumor cells, osteoblasts, and ostoclasts underlined by NF-\(\kappa \)B family, RANKL, RNK, and OPG molecules. Pathways causing change of the amounts of osteoblasts, osteoclast, and cancer cells are analyzed via numerical simulations.

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Acknowledgement

The first and the third authors are supported by JSPS core-to-core research program and Kakenhi 16H06576.

Author information

Authors and Affiliations

  1. Graduate School of Engineering Science, Osaka University, Suita, Japan

    Naoya Hatanaka

  2. Graduate School of Biomedical Sciences, Nagasaki University, Nagasaki, Japan

    Mitsuru Futakuchi

  3. Center for Mathematical Modeling and Data Science, Osaka University, Suita, Japan

    Takashi Suzuki

Authors
  1. Naoya Hatanaka
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  2. Mitsuru Futakuchi
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  3. Takashi Suzuki
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Corresponding author

Correspondence to Takashi Suzuki .

Editor information

Editors and Affiliations

  1. Centre for Mathematical Modeling and Data Science, Osaka University, Toyonaka, Japan

    Takashi Suzuki

  2. Research Team MONC, Institut de Mathématiques de Bordeaux (CNRS UMR 5251), Talence, France

    Clair Poignard

  3. School of Mathematics and Statistics, MI, University of St Andrews, St Andrews, UK

    Mark Chaplain

  4. Quantitative Systems Biology Center, Vanderbilt University School of Medicine, Nashville, TN, USA

    Vito Quaranta

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Hatanaka, N., Futakuchi, M., Suzuki, T. (2021). Mathematical Modeling of Tumor Malignancy in Bone Microenvironment. In: Suzuki, T., Poignard, C., Chaplain, M., Quaranta, V. (eds) Methods of Mathematical Oncology. MMDS 2020. Springer Proceedings in Mathematics & Statistics, vol 370. Springer, Singapore. https://doi.org/10.1007/978-981-16-4866-3_16

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