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

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28 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

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10.1016/0025-5564(94)90029-9

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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.",

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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

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VL - 121

SP - 1

EP - 13

JO - Mathematical Biosciences

JF - Mathematical Biosciences

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Nonlinear diffusion of a growth inhibitory factor in multi cell spheroids

Abstract

Keywords

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