Division of Neurosurgery and Neurooncology, Kusatsu General Hospital, Yabase 1660, Kusatsu, Shiga, 525-8585, Japan.
J Neurooncol. 2011 Apr;102(2):303-10. doi: 10.1007/s11060-010-0319-1. Epub 2010 Aug 5.
Meningiomas sometimes appear to stop growing after attaining a large size. Commonly used exponential growth models do not reflect this phenomenon. We attempted to find the best curve to simulate their growth. Fifty-two patients with meningioma were followed up for 3.1-21.7 years (mean 7.5 years) with four or more imaging studies each. Thirty-one patients had asymptomatic tumors. The other 21 patients with residual or recurrent tumor were followed up after surgery. Time-volume curves for each tumor were plotted. Nonlinear regression analyses were performed against power, exponential, logistic, and Gompertzian curves. Time-volume curves corresponded to the Gompertzian and logistic growth curves better than to power or exponential curves. When simulating time-volume curves with Gompertzian curves, the majority of benign meningiomas began to slow their growth before patient age of 80 years. Twenty-three of 31 asymptomatic meningiomas had already passed the inflection point before diagnosis. In contrast, this happened less frequently in symptomatic tumors. Especially, all six atypical meningiomas continued to grow quasi-exponentially. Sigmoid curves that approach a plateau were better descriptors of the growth of benign meningiomas than were curves of unlimited growth. However, atypical meningiomas were unlikely to slow their growth.
脑膜瘤有时在达到较大体积后似乎停止生长。常用的指数生长模型不能反映这一现象。我们试图寻找最佳曲线来模拟它们的生长。52 例脑膜瘤患者随访 3.1-21.7 年(平均 7.5 年),每个患者均进行了 4 次或更多次影像学研究。31 例患者肿瘤无症状。另外 21 例患者为残余或复发性肿瘤,在手术后进行了随访。绘制每个肿瘤的时间-体积曲线。对幂、指数、逻辑和戈珀茨曲线进行非线性回归分析。时间-体积曲线与戈珀茨曲线和逻辑增长曲线的拟合程度优于幂或指数曲线。当使用戈珀茨曲线模拟时间-体积曲线时,大多数良性脑膜瘤在 80 岁之前开始减缓生长。在诊断前,31 例无症状脑膜瘤中有 23 例已经过了拐点。相比之下,症状性肿瘤中这种情况较少见。特别是,所有 6 例非典型脑膜瘤仍在近乎指数式地持续生长。接近平台的 S 形曲线比无限制生长的曲线更能描述良性脑膜瘤的生长。然而,非典型脑膜瘤不太可能减缓其生长。