Arciero Julia, Fry Brendan, Albright Amanda, Mattingly Grace, Scanlon Hannah, Abernathy Mandy, Siesky Brent, Vercellin Alice Verticchio, Harris Alon
Department of Mathematical Sciences, Indiana University-Purdue University, Indianapolis, IN 46202, USA.
Department of Mathematics and Statistics, Metropolitan State University of Denver, Denver, CO 80204, USA.
Photonics. 2021 Oct;8(10). doi: 10.3390/photonics8100409. Epub 2021 Sep 23.
Impaired blood flow and oxygenation contribute to many ocular pathologies, including glaucoma. Here, a mathematical model is presented that combines an image-based heterogeneous representation of retinal arterioles with a compartmental description of capillaries and venules. The arteriolar model of the human retina is extrapolated from a previous mouse model based on confocal microscopy images. Every terminal arteriole is connected in series to compartments for capillaries and venules, yielding a hybrid model for predicting blood flow and oxygenation throughout the retinal microcirculation. A metabolic wall signal is calculated in each vessel according to blood and tissue oxygen levels. As expected, a higher average metabolic signal is generated in pathways with a lower average oxygen level. The model also predicts a wide range of metabolic signals dependent on oxygen levels and specific network location. For example, for high oxygen demand, a threefold range in metabolic signal is predicted despite nearly identical PO2 levels. This whole-network approach, including a spatially nonuniform structure, is needed to describe the metabolic status of the retina. This model provides the geometric and hemodynamic framework necessary to predict ocular blood flow regulation and will ultimately facilitate early detection and treatment of ischemic and metabolic disorders of the eye.
血流和氧合受损会导致包括青光眼在内的多种眼部疾病。在此,我们提出了一个数学模型,该模型将基于图像的视网膜小动脉异质性表征与毛细血管和小静脉的房室描述相结合。人类视网膜的小动脉模型是根据之前基于共聚焦显微镜图像的小鼠模型推断而来的。每个终末小动脉与毛细血管和小静脉的房室串联连接,从而产生一个用于预测整个视网膜微循环中血流和氧合的混合模型。根据血液和组织氧水平计算每个血管中的代谢壁信号。正如预期的那样,在平均氧水平较低的通路中会产生较高的平均代谢信号。该模型还预测了一系列依赖于氧水平和特定网络位置的代谢信号。例如,对于高氧需求,尽管PO2水平几乎相同,但预测代谢信号有三倍的范围。需要这种包括空间不均匀结构的全网络方法来描述视网膜的代谢状态。该模型提供了预测眼部血流调节所需的几何和血流动力学框架,并最终将有助于眼部缺血和代谢紊乱的早期检测和治疗。