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Dynamical density functional theory based modelling of tissue dynamics: application to tumour growth

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journal contribution
posted on 30.07.2018, 13:47 by Hayder M. Al-Saedi, Andrew ArcherAndrew Archer, John WardJohn Ward
We present a theoretical framework based on an extension of dynamical density functional theory (DDFT) for describing the structure and dynamics of cells in living tissues and tumours. DDFT is a microscopic statistical mechanical theory for the time evolution of the density distribution of interacting many-particle systems. The theory accounts for cell pair-interactions, different cell types, phenotypes and cell birth and death processes (including cell division), in order to provide a biophysically consistent description of processes bridging across the scales, including describing the tissue structure down to the level of the individual cells. Analysis of the model is presented for a single species and a two-species cases, the latter aimed at describing competition between tumour and healthy cells. In suitable parameter regimes, model results are consistent with biological observations. Of particular note, divergent tumour growth behaviour, mirroring metastatic and benign growth characteristics, are shown to be dependent on the cell pair-interaction parameters.

Funding

Hayder Al-Saedi acknowledges the Iraqi Ministry of Higher Education and Scientific Research for financial support.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Physical Review E

Citation

AL-SAEDI, H.M., ARCHER, A.J. and WARD, J.P., 2018. Dynamical density functional theory based modelling of tissue dynamics: application to tumour growth. Physical Review E, 98 (2), 022407.

Publisher

© American Physical Society

Version

AM (Accepted Manuscript)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Acceptance date

26/06/2018

Publication date

2018-08-20

Notes

This paper was published in the journal Physical Review E and the definitive published version is available at https://doi.org/10.1103/PhysRevE.98.022407.

ISSN

1539-3755

Language

en

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