Chapter 4. Mathematical Models of Cancer

  1. Sylvia Nagl
  1. Manish Patel and
  2. Sylvia Nagl

Published Online: 16 MAY 2006

DOI: 10.1002/0470032898.ch4

Cancer Bioinformatics: From Therapy Design to Treatment

Cancer Bioinformatics: From Therapy Design to Treatment

How to Cite

Patel, M. and Nagl, S. (2006) Mathematical Models of Cancer, in Cancer Bioinformatics: From Therapy Design to Treatment (ed S. Nagl), John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/0470032898.ch4

Editor Information

  1. Department of Oncology, Royal Free and University College Medical School, Rowland Hill Street, London NW3 2PF, UK

Author Information

  1. Department of Oncology, Royal Free and University College Medical School, Rowland Hill Street, London NW3 2PF, UK

Publication History

  1. Published Online: 16 MAY 2006
  2. Published Print: 27 JAN 2006

ISBN Information

Print ISBN: 9780470863046

Online ISBN: 9780470032893

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Keywords:

  • modelling and simulation;
  • mathematical models and solid tumour dynamics;
  • L-systems, P-systems and cellular automata;
  • Gompertz function;
  • multicellular tumour spheroid;
  • Ordinary differential equations (ODE) and partial differential equations (PDE);
  • tumour cord modelling;
  • visualization-oriented approach;
  • Response modelling;
  • dynamic pathway models

Summary

This chapter contains sections titled:

  • Growth models

  • A very brief tour of cellular automata

  • Angiogenesis models

  • Treatment response models

  • Dynamic pathways models

  • Other models

  • Simulations of complex biological systems

  • Concluding remarks