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Mathematical models for the effect of anti-vascular endothelial growth factor on visual acuity.
Journal of Mathematical Biology ( IF 2.2 ) Pub Date : 2020-09-24 , DOI: 10.1007/s00285-020-01544-4
David A Edwards 1 , Brooks Emerick 2 , Anna Georgieva Kondic 3 , Kristian Kiradjiev 4 , Christopher Raymond 1 , Maxim Zyskin 5
Affiliation  

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.



中文翻译:

抗血管内皮生长因子对视敏度影响的数学模型。

通过眼部注射提供的新血管性年龄相关性黄斑变性的护理治疗标准基于抗血管内皮生长因子(anti-VEGF)。对于某些患者,可能需要根据他们的反应迅速调整治疗过程。提出了跟踪浓度和对抗VEGF治疗反应的模型。具体重点是评估针对不同类型模型的分析解决方案的存在。基于ODE的模型和基于图的模型都说明了解决方案对各种生物学参数的依赖性,并允许根据实验数据测量患者特定的参数。基于PDE的模型具有扩散效应。结果与观察值一致,

更新日期:2020-09-24
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