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Modelling the cell cycle and cell movement in multicellular tumour spheroids

Modelling the cell cycle and cell movement in multicellular tumour spheroids
Modelling the cell cycle and cell movement in multicellular tumour spheroids
This paper analyses a recent mathematical model of avascular tumour spheroid growth which accounts for both cell cycle dynamics and chemotactic driven cell movement. The model considers cells to exist in one of two compartments: proliferating and quiescent, as well as accounting for necrosis and apoptosis. One particular focus of this paper is the behaviour created when proliferating and quiescent cells have different chemotactic responses to an extracellular nutrient supply. Two very different steady-state behaviours are identified corresponding to those cases where proliferating cells move either more quickly or more slowly than quiescent cells in response to a gradient in the extracellular nutrient supply. The case where proliferating cells move more rapidly leads to the commonly accepted spheroid structure of a thin layer of proliferating cells surrounding an inner quiescent core. In the case where proliferating cells move more slowly than quiescent cells the model predicts an interesting structure of a thin layer of quiescent cells surrounding an inner core of proliferating and quiescent cells. The sensitivity of this tumour structure to the cell cycle model parameters is also discussed. In particular variations in the steady-state size of the tumour and the types of transient behaviour are explored. The model reveals interesting transient behaviour with sharply delineated regions of proliferating and quiescent cells.
0092-8240
1147-1165
Tindall, M.J.
c9bcfff9-902d-43f9-8d16-4ab49e73b789
Please, C.P.
118dffe7-4b38-4787-a972-9feec535839e
Tindall, M.J.
c9bcfff9-902d-43f9-8d16-4ab49e73b789
Please, C.P.
118dffe7-4b38-4787-a972-9feec535839e

Tindall, M.J. and Please, C.P. (2007) Modelling the cell cycle and cell movement in multicellular tumour spheroids. Bulletin of Mathematical Biology, 69 (4), 1147-1165. (doi:10.1007/s11538-006-9110-z).

Record type: Article

Abstract

This paper analyses a recent mathematical model of avascular tumour spheroid growth which accounts for both cell cycle dynamics and chemotactic driven cell movement. The model considers cells to exist in one of two compartments: proliferating and quiescent, as well as accounting for necrosis and apoptosis. One particular focus of this paper is the behaviour created when proliferating and quiescent cells have different chemotactic responses to an extracellular nutrient supply. Two very different steady-state behaviours are identified corresponding to those cases where proliferating cells move either more quickly or more slowly than quiescent cells in response to a gradient in the extracellular nutrient supply. The case where proliferating cells move more rapidly leads to the commonly accepted spheroid structure of a thin layer of proliferating cells surrounding an inner quiescent core. In the case where proliferating cells move more slowly than quiescent cells the model predicts an interesting structure of a thin layer of quiescent cells surrounding an inner core of proliferating and quiescent cells. The sensitivity of this tumour structure to the cell cycle model parameters is also discussed. In particular variations in the steady-state size of the tumour and the types of transient behaviour are explored. The model reveals interesting transient behaviour with sharply delineated regions of proliferating and quiescent cells.

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Published date: May 2007

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Local EPrints ID: 146631
URI: http://eprints.soton.ac.uk/id/eprint/146631
ISSN: 0092-8240
PURE UUID: 6b4e54a3-41a3-4c9c-a3af-766910797f43

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Date deposited: 03 Jun 2010 13:49
Last modified: 09 Jan 2022 02:13

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Contributors

Author: M.J. Tindall
Author: C.P. Please

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