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

M A 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 Chaplain, N F Britton

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

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)	233-43
Number of pages	11
Journal	Mathematical Biosciences
Volume	115
Issue number	2
DOIs	https://doi.org/10.1016/0025-5564(93)90072-I
Publication status	Published - Jun 1993

Keywords

Animals
Cell Division
Cell Physiological Phenomena
Cells
Feedback
Growth Inhibitors
Humans
Mathematics
Mitosis
Models, Biological
Neoplasms

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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.",

keywords = "Animals, Cell Division, Cell Physiological Phenomena, Cells, Feedback, Growth Inhibitors, Humans, Mathematics, Mitosis, Models, Biological, Neoplasms",

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AU - Britton, N F

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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 - Animals

KW - Cell Division

KW - Cell Physiological Phenomena

KW - Cells

KW - Feedback

KW - Growth Inhibitors

KW - Humans

KW - Mathematics

KW - Mitosis

KW - Models, Biological

KW - Neoplasms

UR - https://www.scopus.com/pages/publications/0027195897

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

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

M3 - Article

C2 - 8507991

SN - 0025-5564

VL - 115

SP - 233

EP - 243

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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