Farkas József Z, Smith Gary T, Webb Glenn F
Division of Computing Science and Mathematics, University of Stirling, Stirling, FK9 4LA, UK.
Math Biosci Eng. 2018 Oct 1;15(5):1203-1224. doi: 10.3934/mbe.2018055.
We quantify a recent five-category CT histogram based classification of ground glass opacities using a dynamic mathematical model for the spatial-temporal evolution of malignant nodules. Our mathematical model takes the form of a spatially structured partial differential equation with a logistic crowding term. We present the results of extensive simulations and validate our model using patient data obtained from clinical CT images from patients with benign and malignant lesions.
我们使用一个针对恶性结节时空演变的动态数学模型,对最近基于五分类CT直方图的磨玻璃影分类方法进行了量化。我们的数学模型采用带有逻辑拥挤项的空间结构偏微分方程形式。我们展示了大量模拟的结果,并使用从患有良性和恶性病变患者的临床CT图像中获取的患者数据验证了我们的模型。