Loughborough University
Leicestershire, UK
LE11 3TU
+44 (0)1509 263171
Loughborough University

Loughborough University Institutional Repository

Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/34191

Title: Dynamical density functional theory based modelling of tissue dynamics: application to tumour growth
Authors: Al-Saedi, Hayder M.
Archer, Andrew J.
Ward, John P.
Issue Date: 2018
Publisher: © American Physical Society
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.
Abstract: 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.
Description: 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.
Sponsor: Hayder Al-Saedi acknowledges the Iraqi Ministry of Higher Education and Scientific Research for financial support.
Version: Accepted for publication
DOI: 10.1103/PhysRevE.98.022407
URI: https://dspace.lboro.ac.uk/2134/34191
Publisher Link: https://doi.org/10.1103/PhysRevE.98.022407
ISSN: 1539-3755
Appears in Collections:Published Articles (Maths)

Files associated with this item:

File Description SizeFormat
1807.03261v1.pdfAccepted version2.2 MBAdobe PDFView/Open


SFX Query

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.