TY - JOUR
T1 - Analysis of angiogenesis using in vitro experiments and stochastic growth models
AU - Niemistö, Antti
AU - Dunmire, Valerie
AU - Yli-Harja, Olli
AU - Zhang, Wei
AU - Shmulevich, Ilya
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2005/12
Y1 - 2005/12
N2 - The global properties of vascular networks grown with an in vitro angiogenesis assay are compared quantitatively, using automated image analysis, with the global properties of networks obtained with discrete, stochastic growth models. The model classes that are investigated are invasion percolation and diffusion limited aggregation. By matching global properties to experimental data, one can infer which model classes and parameters are most reflective of angiogenesis in experimental cells. This sheds light on large-scale emergent properties of angiogenesis from a systems perspective. It is found that invasion percolation is better than diffusion limited aggregation at matching experimental data. We also present evidence that the distribution of the lengths of real tubule complexes follows a power law.
AB - The global properties of vascular networks grown with an in vitro angiogenesis assay are compared quantitatively, using automated image analysis, with the global properties of networks obtained with discrete, stochastic growth models. The model classes that are investigated are invasion percolation and diffusion limited aggregation. By matching global properties to experimental data, one can infer which model classes and parameters are most reflective of angiogenesis in experimental cells. This sheds light on large-scale emergent properties of angiogenesis from a systems perspective. It is found that invasion percolation is better than diffusion limited aggregation at matching experimental data. We also present evidence that the distribution of the lengths of real tubule complexes follows a power law.
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U2 - 10.1103/PhysRevE.72.062902
DO - 10.1103/PhysRevE.72.062902
M3 - Article
C2 - 16485992
AN - SCOPUS:33244471289
SN - 1539-3755
VL - 72
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 6
M1 - 062902
ER -