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Numerical Simulation of the Inhibitory Effect of Angiostatin on Metastatic Tumor Angiogenesis and Microenvironment

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Abstract

The present work formulates and analyzes the inhibitory effect of anti-angiogenic factor angiostatin excreted by the primary tumor on metastatic tumor angiogenesis, blood perfusion, and interstitial fluid flow in the tumor microenvironment by means of a numerical experiment. The simulation results demonstrate that angiostatin has an obvious impact on the morphology, growth rate, and the number of branches of microvascular network inside and outside the metastatic tumor, and angiostatin has the capacity to regulate and inhibit the formation of new blood vessels. Heterogeneous blood perfusion, widespread interstitial hypertension, and low convection within the metastatic tumor have obviously improved under the inhibitory effect of angiostatin, which are consistent with physiological observed facts. The simulation results may provide beneficial information and theoretical models for clinical research of anti-angiogenic therapy strategies.

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Acknowledgements

This research has been supported by a grant provided by the National Natural Science Foundation of China (51106099), Innovation Program of Shanghai Municipal Education Commission (12YZ109) and National Natural Science Foundation of China Cultivate project (12XGQ04).

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Authors and Affiliations

  1. School of Medical Instrument and Food Engineering, University of Shanghai for Science and Technology, Shanghai, 200093, China

    Gaiping Zhao, Wentao Yan & Wenjie Cai

  2. School of Energy and Power Engineering, University of Shanghai for Science and Technology, Shanghai, 200093, China

    Eryun Chen

  3. Fudan University Shanghai Cancer Center, Shanghai, 200032, China

    Xiaoli Yu

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  1. Gaiping Zhao
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  2. Wentao Yan
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  3. Eryun Chen
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  4. Xiaoli Yu
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  5. Wenjie Cai
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Correspondence to Gaiping Zhao.

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Zhao, G., Yan, W., Chen, E. et al. Numerical Simulation of the Inhibitory Effect of Angiostatin on Metastatic Tumor Angiogenesis and Microenvironment. Bull Math Biol 75, 274–287 (2013). https://doi.org/10.1007/s11538-012-9805-2

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  • DOI: https://doi.org/10.1007/s11538-012-9805-2

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