Dynamical density functional theory based modelling of tissue dynamics: application to tumour growth
| Autor: | Hayder M. Al-Saedi, John P. Ward, Andrew J. Archer |
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| Rok vydání: | 2018 |
| Předmět: |
0301 basic medicine
Cell type Cell division Cells FOS: Physical sciences Pattern Formation and Solitons (nlin.PS) Condensed Matter - Soft Condensed Matter 01 natural sciences Models Biological 03 medical and health sciences Neoplasms 0103 physical sciences Humans Tumor growth Statistical physics 010306 general physics Condensed Matter - Statistical Mechanics Physics Statistical Mechanics (cond-mat.stat-mech) Dynamics (mechanics) Time evolution Nonlinear Sciences - Pattern Formation and Solitons Cell birth 030104 developmental biology Density distribution Soft Condensed Matter (cond-mat.soft) Density functional theory |
| DOI: | 10.48550/arxiv.1807.03261 |
| Popis: | 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. Comment: 18 pages, 12 figures |
| Databáze: | OpenAIRE |
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