论文标题
估计胶质母细胞瘤浸润程度
Estimating the extent of glioblastoma invasion
论文作者
论文摘要
胶质母细胞瘤多形是一种恶性脑肿瘤，预后不良。已经有许多尝试以对流扩散反应方程的形式通过部分微分方程对肿瘤神经胶质瘤细胞的侵袭进行建模。这些模型的患者参数化及其通过实验数据的验证很困难，因为通常缺少时间序列测量值。临床兴趣也在于特定MRI/DTI扫描而不是预测性估计的实际（不可见）肿瘤程度。因此，我们提出了一种定制的方法来估计给定MRI/DTI扫描时胶质母细胞瘤（GBM）侵袭的程度。基本动力学可以源自设备GBM模型，属于广泛的对流扩散反应方程。通过Fisher-KPP方程的分析解决方案引入了定时化，这是被考虑的模型类中最简单的模型。我们在存在不均匀扩散系数和实际3D DTI-DATASET的情况下研究了1D和2D的适用性。
Glioblastoma Multiforme is a malignant brain tumor with poor prognosis. There have been numerous attempts to model the invasion of tumorous glioma cells via partial differential equations in the form of advection-diffusion-reaction equations. The patient-wise parametrisation of these models, and their validation via experimental data has been found to be difficult, as time sequence measurements are generally missing. Also the clinical interest lies in the actual (invisible) tumor extent for a particular MRI/DTI scan and not in a predictive estimate. Therefore we propose a stationalised approach to estimate the extent of glioblastoma (GBM) invasion at the time of a given MRI/DTI scan. The underlying dynamics can be derived from an instationary GBM model, falling into the wide class of advection-diffusion-reaction equations. The stationalisation is introduced via an analytical solution of the Fisher-KPP equation, the simplest model in the considered model class. We investigate the applicability in 1D and 2D, in the presence of inhomogeneous diffusion coefficients and on a real 3D DTI-dataset.
