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Bubbly vertex dynamics: a dynamical and geometrical model for epithelial tissues with curved cell shapes
- Publication Year :
- 2014
- Publisher :
- arXiv, 2014.
-
Abstract
- In order to describe two-dimensionally packed cells in epithelial tissues both mathematically and physically, there have been developed several sorts of geometrical models, such as the vertex model, the finite element model, the cell-centered model, the cellular Potts model. So far, in any case, pressures have not neatly been dealt with and curvatures of the cell boundaries have been even omitted through their approximations. We focus on these quantities and formulate them on the vertex model. Thus, a model with the curvatures is constructed and its algorithm is given for simulation. Its possible extensions and applications will also be discussed.<br />Comment: REVTex4.1, 25 pages in double column, 15 figures; revised explanations in Sec 2 with 3 figures (1 added, 2 revised), results unchanged, corrected typos, added references
- Subjects :
- Dynamics (mechanics)
Cellular Potts model
Mathematical analysis
Order (ring theory)
FOS: Physical sciences
Quantitative Biology - Tissues and Organs
Geometry
Condensed Matter - Soft Condensed Matter
Finite element method
Quantitative Biology::Cell Behavior
Biological Physics (physics.bio-ph)
FOS: Biological sciences
Vertex model
Cell Behavior (q-bio.CB)
Vertex (curve)
Quantitative Biology - Cell Behavior
Soft Condensed Matter (cond-mat.soft)
Physics - Biological Physics
Focus (optics)
Tissues and Organs (q-bio.TO)
Mathematics
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....88032f965ae43e368eae78372723b28c
- Full Text :
- https://doi.org/10.48550/arxiv.1405.3839