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Cell-Based Models of Tumor Angiogenesis

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Book cover Modeling Tumor Vasculature

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Abstract

Cells are a natural unit of abstraction for tissue morphogenesis. Cell-based theoretical models provide a platform for determining key elements of cell behavior responsible for multicellular and tissue-level phenomena, and for integrating molecular and tissue/organ scales. This chapter reviews a limited selection of recent developments in cell-based modeling approaches to angiogenesis. We offer an introduction to building a cell-based model with an emphasis on model validation, and illustrate this model building process in tumor angiogenesis using the cellular Potts model.

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Notes

  1. 1.

    Recently, it is also called Glazier-Graner-Hogeweg model, or GGH (Glazier et al. 2007; Swat et al. 2009). A CPM open source modeling environment named CompuCell3D is available online at http://www.compucell3d.org (Swat et al. 2009).

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Authors and Affiliations

  1. Theoretical Division, MS B284, Los Alamos National Laboratory, Los Alamos, NM, 87545, USA

    Yi Jiang

  2. Theoretical Division, Los Alamos National Laboratory, Theoretical Biology and Biophysics Group, T-082, Los Alamos, NM, 87545, USA

    Amy L. Bauer

  3. Department of Mathematics, University of Michigan, Ann Arbor, MI, 48109, USA

    Trachette L. Jackson

Authors
  1. Yi Jiang
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  2. Amy L. Bauer
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  3. Trachette L. Jackson
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Correspondence to Yi Jiang .

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Editors and Affiliations

  1. Dept. Mathematics, University of Michigan, 530 Church Street, Ann Arbor, Michigan, 48109, USA

    Trachette L. L. Jackson

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Jiang, Y., Bauer, A.L., Jackson, T.L. (2012). Cell-Based Models of Tumor Angiogenesis. In: Jackson, T.L. (eds) Modeling Tumor Vasculature. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0052-3_6

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