African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 245

Review

Age and space structured tumour invasion: A theoretical mathematical formulation

Shashi Kant
  • Shashi Kant
  • O/o RG and CC, Ministry of Home Affairs, Govt. of India, 2/A Man Singh, Road, New Delhi-11, India
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Shashi Kant
  • Shashi Kant
  • O/o RG and CC, Ministry of Home Affairs, Govt. of India, 2/A Man Singh, Road, New Delhi-11, India
  • Google Scholar


  •  Accepted: 20 July 2011
  •  Published: 31 August 2013

Abstract

 

In this article, the mathematical model used originally proposed by Bruce and co-workers was reviewed and extended. By assuming spherical symmetry of tumour, there were mathematical expressions in the form of partial differential equations along with some suitable conditions for density of proliferating tumor cells, quiescent tumor cells, surrounding tissue macromolecule (MM) and concentration of matrix degradative enzyme (MDE) and oxygen.

 

Key words: Mathematical modeling, tumour invasion, partial differential equations.