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Progress in Industrial Mathematics at ECMI 2008 pp 1061–1066Cite as

A General Model of Lung Tumour Motion

Part of the Mathematics in Industry book series (TECMI,volume 15)

Summary

A limiting factor for the effective delivery of radiotherapy to lung tumours is the tumour motion as the patient breathes. If the tumour position is known at all times then treatment parameters may be adjusted accordingly. We formulate a general approach to model the spatial relationship between an external respiratory signal and the tumour position. The model treats the tumour as a point mass attached to a spring-dashpot system driven by abdominal motion. We present the model and show results of numerical computations based on clinical data.

Keywords

  • Lung Tumour
  • Treatment Parameter
  • Tumour Motion
  • Tumour Position
  • Natural Length

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Author information

Authors and Affiliations

  1. Department of Mathematics & Statistics, University of Canterbury, 4800, Christchurch, 8140, New Zealand

    P. L. Wilson

  2. Department of Physics & Astronomy, University of Canterbury, 4800, Christchurch, 8140, New Zealand

    J. Meyer

Authors
  1. P. L. Wilson
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  2. J. Meyer
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Corresponding author

Correspondence to P. L. Wilson .

Editor information

Editors and Affiliations

  1. School of Mathematics, University of Southampton, Southampton, SO17 1BJ, United Kingdom

    Alistair D. Fitt

  2. Mathematical Institute, University of Oxford, St. Giles 24-29, Oxford, OX1 3LB, United Kingdom

    John Norbury

  3. Mathematical Institute, Ctr for Industrial & Applied Mathematics, University of Oxford, St. Giles 24-29, Oxford, OX1 3LB, United Kingdom

    Hilary Ockendon

  4. Dept. Engineering Mathematics, University of Bristol, University Walk, Bristol, BS8 1TR, United Kingdom

    Eddie Wilson

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Wilson, P.L., Meyer, J. (2010). A General Model of Lung Tumour Motion. In: Fitt, A., Norbury, J., Ockendon, H., Wilson, E. (eds) Progress in Industrial Mathematics at ECMI 2008. Mathematics in Industry(), vol 15. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12110-4_168

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