dorsal/arxiv
View SchemaA mass conserved reaction-diffusion system captures properties of cell polarity
| Authors | Mikiya Otsuji, Shuji Ishihara, Carl Co, Kozo Kaibuchi, Atsushi Mochizuki, Shinya Kuroda |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0608025 |
| URL | https://arxiv.org/abs/q-bio/0608025 |
| DOI | 10.1371/journal.pcbi.0030108 |
Abstract
Various molecules exclusively accumulate at the front or back of migrating eukaryotic cells in response to a shallow gradient of extracellular signals. Directional sensing and signal amplification highlight the essential properties in the migrating cells, known as cell polarity. In addition to these, such properties of cell polarity involve unique determination of migrating direction (uniqueness of axis) and localized gradient sensing at the front edge (localization of sensitivity), both of which may be required for smooth migration. Here we provide the mass conservation system based on the reaction-diffusion system with two components, where the mass of the two components is always conserved. Using two models belonging to this mass conservation system, we demonstrate through both numerical simulation and analytical approximations that the spatial pattern with a single peak (uniqueness of axis) can be generally observed and that the existent peak senses a gradient of parameters at the peak position, which guides the movement of the peak. We extended this system with multiple components, and we developed a multiple-component model in which cross-talk between members of the Rho family of small GTPases is involved. This model also exhibits the essential properties of the two models with two components. Thus, the mass conservation system shows properties similar to those of cell polarity, such as uniqueness of axis and localization of sensitivity, in addition to directional sensing and signal amplification.
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"abstract": "Various molecules exclusively accumulate at the front or back of migrating\neukaryotic cells in response to a shallow gradient of extracellular signals.\nDirectional sensing and signal amplification highlight the essential properties\nin the migrating cells, known as cell polarity. In addition to these, such\nproperties of cell polarity involve unique determination of migrating direction\n(uniqueness of axis) and localized gradient sensing at the front edge\n(localization of sensitivity), both of which may be required for smooth\nmigration. Here we provide the mass conservation system based on the\nreaction-diffusion system with two components, where the mass of the two\ncomponents is always conserved. Using two models belonging to this mass\nconservation system, we demonstrate through both numerical simulation and\nanalytical approximations that the spatial pattern with a single peak\n(uniqueness of axis) can be generally observed and that the existent peak\nsenses a gradient of parameters at the peak position, which guides the movement\nof the peak. We extended this system with multiple components, and we developed\na multiple-component model in which cross-talk between members of the Rho\nfamily of small GTPases is involved. This model also exhibits the essential\nproperties of the two models with two components. Thus, the mass conservation\nsystem shows properties similar to those of cell polarity, such as uniqueness\nof axis and localization of sensitivity, in addition to directional sensing and\nsignal amplification.",
"arxiv_id": "q-bio/0608025",
"authors": [
"Mikiya Otsuji",
"Shuji Ishihara",
"Carl Co",
"Kozo Kaibuchi",
"Atsushi Mochizuki",
"Shinya Kuroda"
],
"categories": [
"q-bio.CB"
],
"doi": "10.1371/journal.pcbi.0030108",
"title": "A mass conserved reaction-diffusion system captures properties of cell polarity",
"url": "https://arxiv.org/abs/q-bio/0608025"
},
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