dorsal/arxiv
View SchemaNetwork formation of tissue cells via preferential attraction to elongated structures
| Authors | Andras Szabo, Erica D. Perryn, Andras Czirok |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0612035 |
| URL | https://arxiv.org/abs/q-bio/0612035 |
| DOI | 10.1103/PhysRevLett.98.038102 |
Abstract
Vascular and non-vascular cells often form an interconnected network in vitro, similar to the early vascular bed of warm blooded embryos. Our time-lapse recordings show that the network forms by extending sprouts, i.e., multicellular linear segments. To explain the emergence of such structures, we propose a simple model of preferential attraction to stretched cells. Numerical simulations reveal that the model evolves into a quasi-stationary pattern containing linear segments, which interconnect above the critical volume fraction of 0.2. In the quasi-stationary state the generation of new branches offset the coarsening driven by surface tension. In agreement with empirical data, the characteristic size of the resulting polygonal pattern is density-independent within a wide range of volume fractions.
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"abstract": "Vascular and non-vascular cells often form an interconnected network in\nvitro, similar to the early vascular bed of warm blooded embryos. Our\ntime-lapse recordings show that the network forms by extending sprouts, i.e.,\nmulticellular linear segments. To explain the emergence of such structures, we\npropose a simple model of preferential attraction to stretched cells. Numerical\nsimulations reveal that the model evolves into a quasi-stationary pattern\ncontaining linear segments, which interconnect above the critical volume\nfraction of 0.2. In the quasi-stationary state the generation of new branches\noffset the coarsening driven by surface tension. In agreement with empirical\ndata, the characteristic size of the resulting polygonal pattern is\ndensity-independent within a wide range of volume fractions.",
"arxiv_id": "q-bio/0612035",
"authors": [
"Andras Szabo",
"Erica D. Perryn",
"Andras Czirok"
],
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"q-bio.CB"
],
"doi": "10.1103/PhysRevLett.98.038102",
"title": "Network formation of tissue cells via preferential attraction to elongated structures",
"url": "https://arxiv.org/abs/q-bio/0612035"
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