Free boundary value problems associated with the growth and development of multicellular spheroids

H. M. Byrne; M. A. J. Chaplain

doi:10.1017/S0956792597003264

Free boundary value problems associated with the growth and development of multicellular spheroids

H. M. Byrne, M. A. J. Chaplain

Research output: Contribution to journal › Article › peer-review

152 Citations (Scopus)

Abstract

In this paper 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.

Original language	English
Pages (from-to)	639-658
Number of pages	20
Journal	European Journal of Applied Mathematics
Volume	8
Issue number	6
DOIs	https://doi.org/10.1017/S0956792597003264
Publication status	Published - 1998

Keywords

Avascular tumour
Multicell spheroids

Access to Document

10.1017/S0956792597003264

Cite this

@article{78411ed20f6f4bb98895cf233fb8a744,

title = "Free boundary value problems associated with the growth and development of multicellular spheroids",

abstract = "In this paper 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.",

keywords = "Avascular tumour, Multicell spheroids",

author = "Byrne, {H. M.} and Chaplain, {M. A. J.}",

note = "dc.publisher: Cambridge University Press ",

year = "1998",

doi = "10.1017/S0956792597003264",

language = "English",

volume = "8",

pages = "639--658",

journal = "European Journal of Applied Mathematics",

issn = "1469-4425",

publisher = "Cambridge University Press",

number = "6",

}

TY - JOUR

T1 - Free boundary value problems associated with the growth and development of multicellular spheroids

AU - Byrne, H. M.

AU - Chaplain, M. A. J.

N1 - dc.publisher: Cambridge University Press

PY - 1998

Y1 - 1998

N2 - In this paper 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.

AB - In this paper 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.

KW - Avascular tumour

KW - Multicell spheroids

U2 - 10.1017/S0956792597003264

DO - 10.1017/S0956792597003264

M3 - Article

SN - 1469-4425

VL - 8

SP - 639

EP - 658

JO - European Journal of Applied Mathematics

JF - European Journal of Applied Mathematics

IS - 6

ER -

Free boundary value problems associated with the growth and development of multicellular spheroids

Abstract

Keywords

Access to Document

Fingerprint

Cite this