dorsal/arxiv
View SchemaGrowth Patterns of Microscopic Brain Tumors
| Authors | Leonard M. Sander, Thomas S. Deisboeck |
|---|---|
| Categories | |
| ArXiv ID | physics/0206066 |
| URL | https://arxiv.org/abs/physics/0206066 |
| DOI | 10.1103/PhysRevE.66.051901 |
Abstract
Highly malignant brain tumors such as Glioblastoma Multiforme (GBM) form complex growth patterns in vitro in which invasive cells organize in tenuous branches. Here, we formulate a chemotaxis model for this sort of growth. A key element controlling the pattern is homotype attraction, i.e., the tendency for invasive cells to follow pathways previously explored. We investigate this in two ways: we show that there is an intrinsic instability in the model, which leads to branch formation. We also give a discrete description for the expansion of the invasive zone, and a continuum model for the nutrient supply. The results indicate that both, strong heterotype chemotaxis and strong homotype chemo-attraction are required for branch formation within the invasive zone. Our model thus can give a way to assess the importance of the various processes, and a way to explore and analyze transitions between different growth regimes.
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"abstract": "Highly malignant brain tumors such as Glioblastoma Multiforme (GBM) form\ncomplex growth patterns in vitro in which invasive cells organize in tenuous\nbranches. Here, we formulate a chemotaxis model for this sort of growth. A key\nelement controlling the pattern is homotype attraction, i.e., the tendency for\ninvasive cells to follow pathways previously explored. We investigate this in\ntwo ways: we show that there is an intrinsic instability in the model, which\nleads to branch formation. We also give a discrete description for the\nexpansion of the invasive zone, and a continuum model for the nutrient supply.\nThe results indicate that both, strong heterotype chemotaxis and strong\nhomotype chemo-attraction are required for branch formation within the invasive\nzone. Our model thus can give a way to assess the importance of the various\nprocesses, and a way to explore and analyze transitions between different\ngrowth regimes.",
"arxiv_id": "physics/0206066",
"authors": [
"Leonard M. Sander",
"Thomas S. Deisboeck"
],
"categories": [
"physics.bio-ph",
"nlin.PS",
"q-bio.CB"
],
"doi": "10.1103/PhysRevE.66.051901",
"title": "Growth Patterns of Microscopic Brain Tumors",
"url": "https://arxiv.org/abs/physics/0206066"
},
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