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Growth Patterns of Microscopic Brain Tumors | | Leonard M. Sander
; Thomas S. Deisboeck
; | | Date: |
18 Jun 2002 | | Subject: | Biological Physics; Pattern Formation and Solitons; Cell Behavior | physics.bio-ph nlin.PS q-bio.CB | | 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. | | Source: | arXiv, physics/0206066 | | Other source: | [GID 485727] pmid12513517 | | Services: | Forum | Review | PDF | Favorites | |
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