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

M A Chaplain, N F Britton

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)233-43
Number of pages11
JournalMathematical Biosciences
Volume115
Issue number2
Publication statusPublished - Jun 1993

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mathematical models
cells
Theoretical Models
Mathematical models
Time Scales
Radius
Profile
growth inhibitory factor
Intercellular Signaling Peptides and Proteins
Experimental Data
Mathematical Model
Growth
Dependent
Cell
Model

Keywords

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

Cite this

On the concentration profile of a growth inhibitory factor in multicell spheroids. / Chaplain, M A; Britton, N F.

In: Mathematical Biosciences, Vol. 115, No. 2, 06.1993, p. 233-43.

Research output: Contribution to journalArticle

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