On the concentration profile of a growth inhibitory factor in multicell spheroids

M.A. J. Chaplain; N. F. Britton

doi:10.1016/0025-5564(93)90072-I

On the concentration profile of a growth inhibitory factor in multicell spheroids

M.A. J. Chaplain, N. F. Britton

Applied Mathematics

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29 Citations (Scopus)

Abstract

A mathematical model is presented for the production of a growth inhibitory factor (GIF) within a multicell spheroid. The main assumption of the model is that the GIF is produced by cells within the spheroid in some prescribed nonlinear, spatially dependent manner. Given that the diffusion of the GIF is known to take place over a much shorter time scale than that of spheroid growth, the steady-state profile of the GIF in various spheroids of differing radii is examined and theoretical results are compared with actual experimental data.

Original language	English
Pages (from-to)	233-245
Number of pages	13
Journal	Mathematical Biosciences
Volume	115
Issue number	2
DOIs	https://doi.org/10.1016/0025-5564(93)90072-I
Publication status	Published - 1993

Keywords

Growth inhibitory factors
Multicell spheroids

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10.1016/0025-5564(93)90072-I

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abstract = "A mathematical model is presented for the production of a growth inhibitory factor (GIF) within a multicell spheroid. The main assumption of the model is that the GIF is produced by cells within the spheroid in some prescribed nonlinear, spatially dependent manner. Given that the diffusion of the GIF is known to take place over a much shorter time scale than that of spheroid growth, the steady-state profile of the GIF in various spheroids of differing radii is examined and theoretical results are compared with actual experimental data.",

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AU - Chaplain, M.A. J.

AU - Britton, N. F.

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N2 - A mathematical model is presented for the production of a growth inhibitory factor (GIF) within a multicell spheroid. The main assumption of the model is that the GIF is produced by cells within the spheroid in some prescribed nonlinear, spatially dependent manner. Given that the diffusion of the GIF is known to take place over a much shorter time scale than that of spheroid growth, the steady-state profile of the GIF in various spheroids of differing radii is examined and theoretical results are compared with actual experimental data.

AB - A mathematical model is presented for the production of a growth inhibitory factor (GIF) within a multicell spheroid. The main assumption of the model is that the GIF is produced by cells within the spheroid in some prescribed nonlinear, spatially dependent manner. Given that the diffusion of the GIF is known to take place over a much shorter time scale than that of spheroid growth, the steady-state profile of the GIF in various spheroids of differing radii is examined and theoretical results are compared with actual experimental data.

KW - Growth inhibitory factors

KW - Multicell spheroids

U2 - 10.1016/0025-5564(93)90072-I

DO - 10.1016/0025-5564(93)90072-I

M3 - Article

SN - 0025-5564

VL - 115

SP - 233

EP - 245

JO - Mathematical Biosciences

JF - Mathematical Biosciences

IS - 2

ER -

On the concentration profile of a growth inhibitory factor in multicell spheroids

Abstract

Keywords

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