Generative mathematical modelling to demonstrate virtual simulations of neovascular age related macular degeneration
Generative mathematical modelling to demonstrate virtual simulations of neovascular age related macular degeneration
复制标题
生成数学模型来演示新生血管性年龄相关性黄斑变性的虚拟模拟
作者：
D. Hoyle;T. Aslam
目的建立湿性年龄相关性黄斑变性（AMD）的生成数学模型，并模拟注射抗血管内皮生长因子对虚拟患者的影响。方法我们分离出黄斑变性的关键病理生理成分，包括黄斑水肿的发展和对抗血管内皮生长因子（VEGF）药物的反应。我们开发的数学模型，这些组件使用常数从已发表的生物实验确定。因此，我们结合了单独组件的数学模型，以达到黄斑水肿大小的演变及其对治疗的反应的端到端模型。结果我们提出了一系列的模拟基于我们的理想模型。首先，我们证明了理论上的变化，随着时间的推移，在湿性黄斑变性的黄斑水肿高度与抗VEGF干预。在最后的模拟中，我们通过使用我们现有的数学AMD模型模拟具有里程碑意义的研究的虚拟模型，展示了虚拟临床试验的强大可能性。结论使用我们的数学建模的基础上已知的病理和药理学过程，我们已经能够模拟的影响，玻璃体内注射抗VEGF剂对黄斑水肿的年龄相关性黄斑变性。随后，我们能够数学模拟一项主要的临床试验，其结果反映了临床研究的许多关键特征。我们预计，这里提出的生成模型可以发展成为一个有用的支持工具，在挑战提供最佳治疗湿性黄斑变性患者。
Purpose To develop a generative mathematical model of wet age-related macular degeneration (AMD) and model the impact of injections of anti-vascular endothelial growth factor to virtual patients with the condition. Methods We isolated key pathophysiological components of macular degeneration in terms of macular edema development and response to anti-vascular endothelial growth factor (VEGF) agents. We developed mathematical models for each of these components using constants determined from published biological experimentation. Consequently, we combined the mathematical models of the separate components to arrive at an end-to-end model of the evolution of macular edema size and its response to treatment. Results We present a series of simulations based upon our idealised model. Initially, we demonstrate the theoretical change in macular edema height in wet macular degeneration over time without and with anti-VEGF interventions. In our final simulation, we demonstrate the powerful possibilities of virtual clinical trials by simulating a virtual model of a landmark study using our existing mathematical AMD model. Conclusions Using our mathematical modelling based upon known pathological and pharmacological processes we have been able to model the effect of intravitreal injection of an anti-VEGF agent on macular edema from age related macular degeneration. We were subsequently able to mathematically simulate a major clinical trial with results that mirror many key features of the clinical established study. We anticipate that the generative model presented here can evolve to be a useful supportive tool in the challenge to deliver optimal therapy for patients with wet macular degeneration.
影响因子：
4.4
作者：
Martin, KRG;Quigley, HA;Hauswirth, WW
通讯作者：
Hauswirth, WW