| Lattice and non-lattice models of tumour angiogenesis. | |
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MedLine Citation:
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PMID: 15522355 Owner: NLM Status: MEDLINE |
Abstract/OtherAbstract:
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In order to progress from the relatively harmless avascular state to the potentially lethal vascular state, solid tumours must induce the growth of new blood vessels from existing ones, a process called angiogenesis. The capillary growth centres around endothelial cells: there are several cell-based models of this process in the literature and these have reproduced some of the key microscopic features of capillary growth. The most common approach is to simulate the movement of leading endothelial cells on a regular lattice. Here, we apply a circular random walk model to the process of angiogenesis, and thus allow the cells to move independently of a lattice; the results display good agreement with empirical observations. We also run simulations of two lattice-based models in order to make a critical comparison of the different modelling approaches. Finally, non-lattice simulations are carried out in the context of a realistic model of tumour angiogenesis, and potential anti-angiogenic strategies are evaluated. |
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Authors:
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M J Plank; B D Sleeman |
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Publication Detail:
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Type: Journal Article; Research Support, Non-U.S. Gov't |
Journal Detail:
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Title: Bulletin of mathematical biology Volume: 66 ISSN: 0092-8240 ISO Abbreviation: Bull. Math. Biol. Publication Date: 2004 Nov |
Date Detail:
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Created Date: 2004-11-03 Completed Date: 2005-06-30 Revised Date: 2006-11-15 |
Medline Journal Info:
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Nlm Unique ID: 0401404 Medline TA: Bull Math Biol Country: United States |
Other Details:
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Languages: eng Pagination: 1785-819 Citation Subset: IM |
Affiliation:
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School of Mathematics, University of Leeds, Leeds LS2 9JT, UK. m.plank@math.canterbury.ac.nz |
Export Citation:
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APA/MLA Format Download EndNote Download BibTex |
| MeSH Terms | |
Descriptor/Qualifier:
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Angiogenesis Inhibitors Animals Capillaries / physiopathology Computer Simulation Endothelium, Vascular / physiopathology Humans Models, Biological Models, Cardiovascular* Neoplasms / blood supply*, pathology Neovascularization, Pathologic / pathology* Stochastic Processes |
| Chemical | |
Reg. No./Substance:
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0/Angiogenesis Inhibitors |
From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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