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Modelling Tumour Growth and Progression

  • Conference paper
Progress in Industrial Mathematics at ECMI 2002

Part of the book series: The European Consortium for Mathematics in Industry ((TECMI,volume 5))

Abstract

To develop the path that goes from the clinical experience to the laboratories and back to the clinic, research in cancer modelling need the establishment of strong interactions among different branches of science and a genuinely multidisciplinary approach. In fact, starting from very practical situations this path passes through progressive abstractions and simplification steps to gain insight into the complex phenomena occurring during tumour evolution and growth and this involves different research areas (see Fig. 1).

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References

  1. Adam J. and Bellomo N. Eds., A Survey of Models on Tumor Immune Systems Dynamics, (Birkhäuser, Boston, 1996 ).

    Google Scholar 

  2. L. Arlotti, N. Bellomo and E. De Angelis, Math. Models Methods Appl. Sci 12, 567–591 (2002).

    Article  MATH  Google Scholar 

  3. D. Ambrosi, N. Bellomo and L. Preziosi, J. Theor. Medicine 4, 51–65 (2002)

    Article  MATH  Google Scholar 

  4. D. Ambrosi, A. Gamba, E. Giraudo, G. Serini, L. Preziosi, and F. Bussolino, EMBO J. Biol 22, (2003).

    Google Scholar 

  5. L. Arlotti, A. Gamba and M. Lachowicz, J. Theor. Medicine 4, 39–50 (2002).

    Article  MATH  Google Scholar 

  6. D. Ambrosi and F. Mollica, Int. J. Eng. Sci, 40, 1297–1316 (2002).

    Article  MathSciNet  MATH  Google Scholar 

  7. A.R.A. Anderson, M.A.J. Chaplain, R.J. Steele, E.L. Newman and A. Thompson, J. Theor. Med 2, 129–154 (2000).

    Article  MATH  Google Scholar 

  8. D. Ambrosi and L. Preziosi, Math. Models Methods Appl. Sci 12, 737–754, (2002).

    Article  MathSciNet  MATH  Google Scholar 

  9. C.J.W. Breward, H.M. Byrne and C.E. Lewis, J. Math. Biol, 45, 125–152 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  10. N. Bellomo and E. De Angelis Eds., Math. Comp. Model, (2003).

    Google Scholar 

  11. N. Bellomo Ed., Math. Comp. Modelling 23 (1996).

    Google Scholar 

  12. A. Bertuzzi, A. Fasano, A. Gandolfi, Math. Biosci. 177–178, 103–125 (2002).

    MathSciNet  Google Scholar 

  13. H.M. Byrne, L. Preziosi, IMA J. Math. Appl. Med. Biol,in press.

    Google Scholar 

  14. N. Bellomo and M. Lo Schiavo, Lecture Notes on the Generalized Boltzmann Equation, World Scientific (2000).

    Google Scholar 

  15. C.Y. Chen, H.M. Byrne and J.R. King, J. Math. Biol 43, 191–220 (2001).

    Article  MathSciNet  MATH  Google Scholar 

  16. M.A.J. Chaplain, M. Ganesh and I.G. Graham, J. Math. Biol. 42,, 387–423 (2001).

    Article  MathSciNet  MATH  Google Scholar 

  17. M.A.J. Chaplain Ed., Math. Models Methods Appl. Sci, 9, (1999).

    Google Scholar 

  18. A. Deutsch, Math. Comp. Model 31,, 35–40 (2000).

    Google Scholar 

  19. E. De Angelis and L. Preziosi. Math. Models Methods Appl. Sci 10,, 379–407 (2000).

    MATH  Google Scholar 

  20. L. Preziosi

    Google Scholar 

  21. E. De Angelis and L. Mesin, Math. Models Methods Appl. Sci 11,, 1609–1631 (2001).

    Article  MathSciNet  MATH  Google Scholar 

  22. A. Farina and L. Preziosi, Int. J. Nonlinear Mech, 37, 485–491 (2001).

    Google Scholar 

  23. A. Gamba, D. Ambrosi, F. Bussolino, A. Coniglio, A. de Candia, S. Di Talia, E. Girando, G. Serini, and L. Preziosi, Phys. Rev. Lett 90, 118101, (2003).

    Google Scholar 

  24. L. Greller, F. Tobin, and G. Poste. Invasion and Metastasis 16, 177–208 (1996)

    Google Scholar 

  25. H.L. Hartwell, J.J. Hopfield, S. Leibner, and A.W. Murray. Nature, 402, c47 — c52 (1999).

    Article  Google Scholar 

  26. M.J. Holmes and B.D. Sleeman J. Theor. Biol. 63, 95–112 (2001).

    Google Scholar 

  27. T.L. Jackson and H.M. Byrne, Math. Biosci. 180, 307–328 (2002).

    Article  MathSciNet  MATH  Google Scholar 

  28. G. Helmlinger, M. Endo, N. Ferrara, L. Hlatky, and R.K. Jain. Nature, 405, 139–141 (2000).

    Article  Google Scholar 

  29. R. Kowalczyk, A. Gamba, and L. Preziosi, Continuous and Discrete Dynamical Systems. In press.

    Google Scholar 

  30. H. Levine, S. Pamuk, B. Sleeman, and M. Nilsen-Hamilton, Bull. Math. Biol 63, 801–863 (2001).

    Article  Google Scholar 

  31. H. Levine, B. Sleeman, and M. Nilsen-Hamilton, Math. Biosci 168, 77–115 (2000).

    Article  MathSciNet  MATH  Google Scholar 

  32. S.R. McDougall, A.R.A. Anderson, M.A.J. Chaplain, and J.A. Sherratt, Bull. Math. Biol. 64, 673–702 (2002).

    Article  Google Scholar 

  33. L. Preziosi Ed., Cancer Modelling and Simulation, Chapman Hall/CRC Press (2003).

    Google Scholar 

  34. J.A. Sherratt and M.A.J. Chaplain, J. Math. Biol 43, 291–312 (2001).

    Article  MathSciNet  MATH  Google Scholar 

  35. B.D. Sleeman Ed., J. Theor. Medicine, 4 (2002).

    Google Scholar 

  36. K. Swanson, E. Alvord and J. Murray, Cell Proliferation 33, 317–330 (2000).

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mathematics, Politecnico, Torino, Italy

    Luigi Preziosi

Authors
  1. Luigi Preziosi
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Editor information

Editors and Affiliations

  1. Latvia Science and Dialogue Centre, University of Latvia, Laukums Akademijas 1/1, 1524, Riga, Latvia

    Andris Buikis

  2. Vilnius Gediminas, Technical University, Akademijas lauk. 1, 2054, Vilnius, Lithuania

    Raimondas Čiegis

  3. Faculty of Mathematical Studies, University Southampton, SO17 1BJ, Southampton, UK

    Alistair D. Fitt

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© 2004 Springer-Verlag Berlin Heidelberg

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Preziosi, L. (2004). Modelling Tumour Growth and Progression. In: Buikis, A., Čiegis, R., Fitt, A.D. (eds) Progress in Industrial Mathematics at ECMI 2002. The European Consortium for Mathematics in Industry, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-09510-2_5

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  • DOI: https://doi.org/10.1007/978-3-662-09510-2_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07262-8

  • Online ISBN: 978-3-662-09510-2

  • eBook Packages: Springer Book Archive

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