Chapter 5. Some Mathematical Modelling Challenges and Approaches in Cancer

  1. Sylvia Nagl
  1. Philip K. Maini1 and
  2. Robert A. Gatenby2

Published Online: 16 MAY 2006

DOI: 10.1002/0470032898.ch5

Cancer Bioinformatics: From Therapy Design to Treatment

Cancer Bioinformatics: From Therapy Design to Treatment

How to Cite

Maini, P. K. and Gatenby, R. A. (2006) Some Mathematical Modelling Challenges and Approaches in Cancer, in Cancer Bioinformatics: From Therapy Design to Treatment (ed S. Nagl), John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/0470032898.ch5

Editor Information

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

Author Information

  1. 1

    Centre for Mathematical Biology, Mathematical Institute, 24-29 St. Giles', Oxford OX1 3LB, UK

  2. 2

    Department of Radiology, University of Arizona, College of Medicine, PO Box 245067, Tucson, AZ 85724-5067, USA

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:

  • complex tumour-host interaction;
  • multiscale modelling;
  • cellular automaton (CA) approach;
  • healthy functioning tissue;
  • aerobic glycolysis (‘Warburg effect’);
  • acid-mediated tumour invasion hypothesis;
  • hybrid cellular automata;
  • cancer dynamics

Summary

This chapter contains sections titled:

  • Introduction

  • Multiscale modelling

  • Tumour vascular modelling

  • Population models

  • Conclusion