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Zbl 0906.92016
Byrne, H.M.; Chaplain, M.A.J.
Free boundary value problems associated with the growth and development of multicellular spheroids. (English)
[J] Eur. J. Appl. Math. 8, No.6, 639-658 (1997). ISSN 0956-7925; ISSN 1469-4425/e

Summary: A generalized model for the growth of avascular tumours is presented. The formulation leads naturally to the incorporation of free boundaries which define the outer tumour surface explicitly and various inner surfaces implicitly. A combination of numerical simulations, asymptotic analysis and perturbation techniques is used to study the model and yields results, which agree well with experimentally-observed phenomena.

MSC 2000:: *92C50 Medical appl. of mathematical biology
35R35 Free boundary problems for PDE
35Q80 Appl. of PDE in areas other than physics
92C15 Developmental biology, etc.

Keywords: growth of avascular tumours; outer tumour surface; inner surfaces

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Zentralblatt MATH Berlin [Germany]