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Mathematical analysis of some multi-dimensional tissue-growth models

Published online by Cambridge University Press:  01 September 2004

J. R. KING  and
S. J. FRANKS
J. R. KING
Affiliation:
Centre for Mathematical Medicine, School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD, UK email: pmzsjf@maths.nottingham.ac.uk
S. J. FRANKS
Affiliation:
Centre for Mathematical Medicine, School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD, UK email: pmzsjf@maths.nottingham.ac.uk
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Abstract

Mathematical models for the growth of nutrient-rich tissue are presented and a number of properties of the resulting models outlined. The focus is on obtaining broadly applicable results for the simplest appropriate formulations by using matched-asymptotic, moving-boundary and thin-film approaches; the relevance of the results to a variety of specific biological applications will be addressed elsewhere, as will the inclusion of additional physical phenomena.

Type
Papers
Information
European Journal of Applied Mathematics , Volume 15 , Issue 3 , June 2004 , pp. 273 - 295
Copyright
2004 Cambridge University Press

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