dorsal/arxiv
View SchemaA stochastic model for wound healing
| Authors | Thomas Callaghan, Evgeniy Khain, Leonard M. Sander, Robert M. Ziff |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0507035 |
| URL | https://arxiv.org/abs/q-bio/0507035 |
| DOI | 10.1007/s10955-006-9022-1 |
Abstract
We present a discrete stochastic model which represents many of the salient features of the biological process of wound healing. The model describes fronts of cells invading a wound. We have numerical results in one and two dimensions. In one dimension we can give analytic results for the front speed as a power series expansion in a parameter, p, that gives the relative size of proliferation and diffusion processes for the invading cells. In two dimensions the model becomes the Eden model for p near 1. In both one and two dimensions for small p, front propagation for this model should approach that of the Fisher-Kolmogorov equation. However, as in other cases, this discrete model approaches Fisher-Kolmogorov behavior slowly.
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"abstract": "We present a discrete stochastic model which represents many of the salient\nfeatures of the biological process of wound healing. The model describes fronts\nof cells invading a wound. We have numerical results in one and two dimensions.\nIn one dimension we can give analytic results for the front speed as a power\nseries expansion in a parameter, p, that gives the relative size of\nproliferation and diffusion processes for the invading cells. In two dimensions\nthe model becomes the Eden model for p near 1. In both one and two dimensions\nfor small p, front propagation for this model should approach that of the\nFisher-Kolmogorov equation. However, as in other cases, this discrete model\napproaches Fisher-Kolmogorov behavior slowly.",
"arxiv_id": "q-bio/0507035",
"authors": [
"Thomas Callaghan",
"Evgeniy Khain",
"Leonard M. Sander",
"Robert M. Ziff"
],
"categories": [
"q-bio.CB"
],
"doi": "10.1007/s10955-006-9022-1",
"title": "A stochastic model for wound healing",
"url": "https://arxiv.org/abs/q-bio/0507035"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "65a21843-a7e3-4c8c-96bb-fb2df889c60b",
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"type": "Model",
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