Full-scale, three-dimensional simulation of early-stage tumor growth: The onset of malignancy
Full-scale, three-dimensional simulation of early-stage tumor growth: The onset of malignancy
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DOI：
10.1016/j.cma.2016.07.010
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发表时间：
2017-02
影响因子：
7.2
通讯作者：
Jiangping Xu;G. Vilanova;H. Gómez
中科院分区：
文献类型：
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作者：
Jiangping Xu;G. Vilanova;H. Gómez
恶性肿瘤有能力通过称为肿瘤血管生成的复杂过程触发新血管向它们生长。这些新血管为癌细胞提供了足够的生长营养，并提供了逃离原发肿瘤并侵入其他组织的手段。本文提出了一个三维模型，旨在预测如何肿瘤及其相关的血管生长在恶性肿瘤的发病。我们模型的细胞生长方程是使用相场方法推导出来的。我们使用标准的反应扩散方程来模拟化学品的传输。该模型明确地解析了肿瘤诱导的脉管系统，考虑了直径高达1.25 μ m的毛细血管。我们提出了一个合适的计算方法的基础上等几何分析。我们提出了几个数值例子来测试模型，包括宏观模拟（101厘米3）从人类结肠的组织病理学图像的几何形状。所提出的模型自然地预测血管生成开关。我们的计算显示了肿瘤和血管生长的真实模式。
Malignant tumors have the ability to trigger the growth of new vasculature towards them through a complex process called tumor angiogenesis. These new blood vessels provide cancerous cells with sufficient nutrients for growth and a means to escape the primary tumor and invade other tissues. This paper proposes a three-dimensional model that aims at predicting how the tumor and its associated vasculature grow during the onset of malignancy. The cellular growth equations of our model are derived using the phase-field method. We use standard reaction–diffusion equations to model the transport of chemicals. The model resolves the tumor-induced vasculature explicitly, considering capillaries with a diameter of up to∼ 25 μ m. We propose a suitable computational method based on isogeometric analysis. We present several numerical examples to test the model, including a macroscopic simulation (∼ 1 cm 3) on a geometry taken from a histopathological image of a human colon. The proposed model naturally predicts the angiogenic switch. Our computations show realistic patterns of tumor and vascular growth.