氧分布对肿瘤坏死区域的影响：一个多相模型
On impact of oxygen distribution on tumor necrotic region: A Multiphase Model
AI总结：
本研究构建多相数学模型，采用基于SIMPLE算法的有限差分法模拟，探究非均匀氧分布对肿瘤坏死核心形成的影响及坏死核心对肿瘤生长的作用，为临床预测疾病阶段提供参考。
摘要：
背景与目的：在体内环境中，靠近血管的组织相较于远离血管的组织氧供应更充足，因此生物组织中会出现非均匀的氧分布。本研究的目的是探究非均匀氧供应对坏死核心形成的影响，同时考察坏死核心对肿瘤生长的作用。方法：本研究采用基于多相数学模型的数学方法开展研究，为模拟该模型，采用了基于压力耦合方程组半隐式方法（SIMPLE）算法的有限差分数值方法。结果：从初始时刻起，坏死核心就开始在氧浓度较低的肿瘤边界处形成。研究表明，坏死核心的位置会随通过肿瘤边界的氧供应情况发生变化。结果预测，当肿瘤边界的氧供应不均衡时，肿瘤会出现不对称生长。同时研究还提示，坏死核心尺寸较大的肿瘤，其生长速度慢于坏死核心尺寸较小的肿瘤。结论：所构建的模型能够模拟体内和体外环境下的肿瘤生长情况。本研究揭示了坏死核心的位置、形态以及坏死核心对肿瘤生长的影响，这些信息将有助于临床医生和医疗从业者预测疾病的发展阶段。
英文摘要：
Background and Objective: In an in-vivo situation, the tissue near the blood vessels is rich in oxygen supply compared to the one far from blood vessels. Hence, non-uniform oxygen distribution is observed in biological tissues. Our objective is to explore the influence of non-uniform oxygen supply in the development of necrotic core and, also to examine the effects of necrotic core on tumor growth. Methods: The research is processed through a mathematical approach based on the multiphase mathematical model. To simulate the model, a finite difference numerical method based on the Semi-Implicit Method for Pressure-Linked Equations (SIMPLE) algorithm is adopted. Results: The necrotic core starts to form at the boundary of the tumor with lower oxygen concentration from the initial time. Investigations reveal that the position of the necrotic core varies depending on the oxygen supply through the tumor boundary. The results predict asymmetrical tumor growth under unequal oxygen supply at tumor boundaries. Also, it is hinted that a tumor with a larger size of necrotic core grows slowly as compared to a tumor containing a smaller size of necrotic core. Conclusions: The formulated model has the potential to cast the situation of the tumor growth in an in-vivo and in-vitro situations. This study provides an idea about the location and shape of the necrotic core and the impact of the necrotic core on tumor growth. This information will be beneficial to the clinicians and medical practitioners in predicting the stage of the disease.
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