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Modeling Tumor Vasculature pp 151–165Cite as

A Cell-Based Model of Endothelial Cell Migration, Proliferation, and Maturation in Corneal Angiogenesis

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Abstract

In this chapter, we present a cell-based model of angiogenesis that operates at the molecular, cellular, and tissue levels. In this new modeling framework, each endothelial cell is regarded as a viscoelastic spring and thus the vasculature is modeled as a spring network. Endothelial cells (ECs) located at the sprout tip lead the extension of blood vessels, and the endothelial cell proliferative activity is regulated by vascular endothelial growth factor (VEGF) and angiopoietins. This angiogenesis model allows for a detailed study of the relative roles of EC migration, proliferation, and maturation during blood vessel development.

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Authors and Affiliations

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

    Trachette L. Jackson

  2. Department of Mathematics, Central Michigan University, Mount Pleasant, MI, 48859, USA

    Xiaoming Zheng

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  1. Trachette L. Jackson
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  2. Xiaoming Zheng
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Correspondence to Xiaoming Zheng .

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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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Jackson, T.L., Zheng, X. (2012). A Cell-Based Model of Endothelial Cell Migration, Proliferation, and Maturation in Corneal Angiogenesis. In: Jackson, T.L. (eds) Modeling Tumor Vasculature. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0052-3_7

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