dorsal/arxiv
View SchemaA modelling approach towards Epidermal homoeostasis control
| Authors | Gernot Schaller, Michael Meyer-Hermann |
|---|---|
| Categories | |
| ArXiv ID | physics/0507059 |
| URL | https://arxiv.org/abs/physics/0507059 |
| DOI | 10.1016/j.jtbi.2007.03.023 |
| Journal | Journal of Theoretical Biology 247, 554-573, (2007) |
Abstract
In order to grasp the features arising from cellular discreteness and individuality, in large parts of cell tissue modelling agent-based models are favoured. The subclass of off-lattice models allows for a physical motivation of the intercellular interaction rules. We apply an improved version of a previously introduced off-lattice agent-based model to the steady-state flow equilibrium of skin. The dynamics of cells is determined by conservative and drag forces,supplemented with delta-correlated random forces. Cellular adjacency is detected by a weighted Delaunay triangulation. The cell cycle time of keratinocytes is controlled by a diffusible substance provided by the dermis. Its concentration is calculated from a diffusion equation with time-dependent boundary conditions and varying diffusion coefficients. The dynamics of a nutrient is also taken into account by a reaction-diffusion equation. It turns out that the analysed control mechanism suffices to explain several characteristics of epidermal homoeostasis formation. In addition, we examine the question of how {\em in silico} melanoma with decreased basal adhesion manage to persist within the steady-state flow-equilibrium of the skin.Interestingly, even for melanocyte cell cycle times being substantially shorter than for keratinocytes, tiny stochastic effects can lead to completely different outcomes. The results demonstrate that the understanding of initial states of tumour growth can profit significantly from the application of off-lattice agent-based models in computer simulations.
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"abstract": "In order to grasp the features arising from cellular discreteness and\nindividuality, in large parts of cell tissue modelling agent-based models are\nfavoured. The subclass of off-lattice models allows for a physical motivation\nof the intercellular interaction rules. We apply an improved version of a\npreviously introduced off-lattice agent-based model to the steady-state flow\nequilibrium of skin. The dynamics of cells is determined by conservative and\ndrag forces,supplemented with delta-correlated random forces. Cellular\nadjacency is detected by a weighted Delaunay triangulation. The cell cycle time\nof keratinocytes is controlled by a diffusible substance provided by the\ndermis. Its concentration is calculated from a diffusion equation with\ntime-dependent boundary conditions and varying diffusion coefficients. The\ndynamics of a nutrient is also taken into account by a reaction-diffusion\nequation. It turns out that the analysed control mechanism suffices to explain\nseveral characteristics of epidermal homoeostasis formation. In addition, we\nexamine the question of how {\\em in silico} melanoma with decreased basal\nadhesion manage to persist within the steady-state flow-equilibrium of the\nskin.Interestingly, even for melanocyte cell cycle times being substantially\nshorter than for keratinocytes, tiny stochastic effects can lead to completely\ndifferent outcomes. The results demonstrate that the understanding of initial\nstates of tumour growth can profit significantly from the application of\noff-lattice agent-based models in computer simulations.",
"arxiv_id": "physics/0507059",
"authors": [
"Gernot Schaller",
"Michael Meyer-Hermann"
],
"categories": [
"physics.bio-ph"
],
"doi": "10.1016/j.jtbi.2007.03.023",
"journal_ref": "Journal of Theoretical Biology 247, 554-573, (2007)",
"title": "A modelling approach towards Epidermal homoeostasis control",
"url": "https://arxiv.org/abs/physics/0507059"
},
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