Mathematical modelling of nutrient-limited tissue growth

International Series of Numerical Mathematics

Volumn 154, Issue , 2007, Pages 273-282

  King, J R ^a   Franks, S J ^b  

^a UNIVERSITY OF NOTTINGHAM   (United Kingdom)

^b HEALTH AND SAFETY LABORATORY   (United Kingdom)

Author keywords

Buckling instability; Singular perturbation methods; Tissue growth

Indexed keywords

EID: 85093902822     PISSN: 03733149     EISSN: 22966072     Source Type: Book Series    
DOI: 10.1007/978-3-7643-7719-9_27     Document Type: Chapter

References (6)

1. L.J. Cummings, S.D. Howison, J.R. King, Two-dimensional Stokes and Hele-Shaw flows with free surfaces. Euro. J. Appl. Math. 10 (1999), 635–680.
2. P.D. Howell, Extensional thin layer flows. D. Phil Thesis, University of Oxford, 1994.
3. S.J. Franks, J.R. King, Interactions between a uniformly proliferating tumour and its surroundings: uniform material properties. Math. Med. Biol. 20 (2003), 47–89.
4. J.R. King, S.J. Franks, Mathematical analysis of some multi-dimensional tissue-growth models. Euro. J. Appl. Math. 15 (2004), 273–295.
5. J.P. Ward, J.R. King, Mathematical model ling of avascular-tumour growth. IMA J. Math. Appl. Med. Biol. 14 (1997), 39–69.
6. J.P. Ward, J.R. King, Mathematical modelling of avascular-tumour growth II: Model ling growth saturation. IMA J. Math. Appl. Med. Biol. 16 (1999), 171–211.