Nonlinear diffusion of a growth inhibitory factor in multi cell spheroids

M. A. J. Chaplain; D. L. Benson; P. K. Maini

doi:10.1016/0025-5564(94)90029-9

Nonlinear diffusion of a growth inhibitory factor in multi cell spheroids

M. A. J. Chaplain, D. L. Benson, P. K. Maini

Applied Mathematics

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

27 Citations (Scopus)

Abstract

A mathematical model is presented for the production of a growth inhibitory factor (GIF) within a multicell spheroid. The model is based on the assumption that the GIF diffuses within the spheroid in a nonlinear spatially dependent manner. This is in contrast with previous models, in which the nonlinearity was assumed in the production team. The results of the new model are compared with those of previous models and with experimental data.

Original language	English
Pages (from-to)	1-13
Number of pages	13
Journal	Mathematical Biosciences
Volume	121
Issue number	1
DOIs	https://doi.org/10.1016/0025-5564(94)90029-9
Publication status	Published - 1994

Keywords

Growth inhibitory factors
Multicell spheroids
Mathematical modelling

Access to Document

10.1016/0025-5564(94)90029-9

Cite this

@article{06de251ae866468f975d578527118a2e,

title = "Nonlinear diffusion of a growth inhibitory factor in multi cell spheroids",

abstract = "A mathematical model is presented for the production of a growth inhibitory factor (GIF) within a multicell spheroid. The model is based on the assumption that the GIF diffuses within the spheroid in a nonlinear spatially dependent manner. This is in contrast with previous models, in which the nonlinearity was assumed in the production team. The results of the new model are compared with those of previous models and with experimental data.",

keywords = "Growth inhibitory factors, Multicell spheroids, Mathematical modelling",

author = "Chaplain, {M. A. J.} and Benson, {D. L.} and Maini, {P. K.}",

year = "1994",

doi = "10.1016/0025-5564(94)90029-9",

language = "English",

volume = "121",

pages = "1--13",

journal = "Mathematical Biosciences",

issn = "0025-5564",

publisher = "Elsevier Inc.",

number = "1",

}

TY - JOUR

T1 - Nonlinear diffusion of a growth inhibitory factor in multi cell spheroids

AU - Chaplain, M. A. J.

AU - Benson, D. L.

AU - Maini, P. K.

PY - 1994

Y1 - 1994

N2 - A mathematical model is presented for the production of a growth inhibitory factor (GIF) within a multicell spheroid. The model is based on the assumption that the GIF diffuses within the spheroid in a nonlinear spatially dependent manner. This is in contrast with previous models, in which the nonlinearity was assumed in the production team. The results of the new model are compared with those of previous models and with experimental data.

AB - A mathematical model is presented for the production of a growth inhibitory factor (GIF) within a multicell spheroid. The model is based on the assumption that the GIF diffuses within the spheroid in a nonlinear spatially dependent manner. This is in contrast with previous models, in which the nonlinearity was assumed in the production team. The results of the new model are compared with those of previous models and with experimental data.

KW - Growth inhibitory factors

KW - Multicell spheroids

KW - Mathematical modelling

U2 - 10.1016/0025-5564(94)90029-9

DO - 10.1016/0025-5564(94)90029-9

M3 - Article

SN - 0025-5564

VL - 121

SP - 1

EP - 13

JO - Mathematical Biosciences

JF - Mathematical Biosciences

IS - 1

ER -

Nonlinear diffusion of a growth inhibitory factor in multi cell spheroids

Abstract

Keywords

Access to Document

Fingerprint

Cite this