Mathematical models for the effect of anti-vascular endothelial growth factor on visual acuity

Mathematical models for the effect of anti-vascular endothelial growth factor on visual acuity
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抗血管内皮生长因子对视力影响的数学模型

DOI:
10.1007/s00285-020-01544-4
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发表时间:
2020
影响因子:
1.9
通讯作者:
Zyskin, Maxim
Zyskin, Maxim
中科院分区:
数学4区
文献类型:
--
作者:
Edwards, David A;Emerick, Brooks;Georgieva Kondic, Anna;Kiradjiev, Kristian;Raymond, Christopher;Zyskin, Maxim

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新生血管性年龄相关性黄斑变性的标准治疗以抗血管内皮生长因子(抗VEGF)为基础,通过眼部注射给药。治疗过程可能需要根据某些患者的反应迅速修改。提出了跟踪抗VEGF治疗的浓度和响应的模型。具体重点是评估不同类型模型的分析解的存在。基于ODE的模型和基于地图的模型都说明了解决方案对各种生物参数的依赖性,并允许从实验数据测量患者特定的参数。基于偏微分方程的模型包含扩散效应。结果与观察值一致,并且可以为从业者提供一个框架,以了解治疗对有反应和无反应患者的疾病进展的影响。
The standard of care treatment for neovascular age-related macular degeneration, delivered as ocular injection, is based on anti-vascular endothelial growth factor (anti-VEGF). The course of treatment may need to be modified quickly for certain patients based on their response. Models that track both the concentration and the response to an anti-VEGF treatment are presented. The specific focus is to assess the existence of analytical solutions for the different types of models. Both an ODE-based model and a map-based model illustrate the dependence of the solution on various biological parameters and allow the measurement of patient-specific parameters from experimental data. A PDE-based model incorporates diffusive effects. The results are consistent with observed values, and could provide a framework for practitioners to understand the effect of the therapy on the progression of the disease in both responsive and non-responsive patients.
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
DOI: --
发表时间: 2017
期刊: PLoS ONE
影响因子: 3.7
作者:
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期刊: PloS one
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影响因子: --
作者:
Frenkel RE;Haji SA;La M;Frenkel MP;Reyes A
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