在酸媒介癌症入侵模型中,波速选择和间歇间隙形成
Yuhui Chen1, Michael Dallaston2
1School of Mathematical Sciences, Queensland University of Technology, 2 George St, 4000, Brisbane, QLD, Australia.
Journal of mathematical biology
|December 22, 2025
概括
这项研究使用反应扩散系统来模拟瘤生长. 它揭示了入侵细胞创造了一个间隙,其大小取决于对数分解率,影响瘤入侵动态.
科学领域:
- 数学生物学 数学生物学
- 计算科学 计算科学
- 瘤微环境的动力学
背景情况:
- 反应扩散系统模拟细胞入侵和瘤生长.
- 瘤细胞通过局部环境酸化降解周围组织.
- 之前的模型探讨了具有不同参数的瘤生长动态.
研究的目的:
- 在模拟细胞入侵的双组分反应-扩散系统中分析移动波溶液.
- 为了研究初始条件对波行为的影响.
- 了解瘤生长模型中间歇性缺口的形成.
主要方法:
- 旅行波解决方案的数值计算.
- 在大降解速率的极限内进行非对称分析.
- 与扰乱的费舍尔-KPP (科尔莫戈罗夫-彼得罗夫斯基-皮斯库诺夫) 模型进行比较.
主要成果:
- 最初的条件决定了基于衰变速率的特定移动波解决方案的趋同.
- 较高的降解率导致间歇间隙形成.
- 间隙宽度与降解速度对数扩大.
结论:
- 间隙形成机制与费舍尔-KPP系统扰动有关.
- 瘤入侵前极速度主要由费舍尔-KPP动态控制.
- 对于差距大小的重大变化,需要降解速度的显著变化.
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