Garon M-L, Dorfman A L, Racine J, Koenekoop R K, Little J M, Lachapelle P
Department of Ophthalmology (D-164), McGill University - Montreal Children's Hospital Research Institute, 2300 Tupper Street, Montreal, QC, H3H 1P3, Canada.
Doc Ophthalmol. 2014 Aug;129(1):9-16. doi: 10.1007/s10633-014-9446-x. Epub 2014 Jun 4.
With progressively brighter stimuli, the amplitude of the b-wave of the human photopic electroretinogram (ERG) first increases to a maximal value (Vmax) and then decreases to finally reach a plateau, a phenomenon known as the photopic hill (PH). A mathematical model combining a Gaussian (G) and a logistic (L) growth function was previously proposed to fit this unusual luminance-response curve, where the G and L functions were suggested to represent, respectively, the OFF and ON retinal pathway contributions to the building of the PH.
The PHs of patients presenting stationary diseases affecting specifically the ON (3 CSNB-1) or OFF (4 CPCPA) retinal pathways as well as patients affected with retinitis pigmentosa (14 RP) of different stages or etiology were analyzed using this mathematical model and compared to the PHs of a group of 28 normal subjects.
The PH of the CSNB-1 patients had a much larger contribution from the G function compared to normal subjects, whereas the opposite was observed for the CPCPA patients. On the other hand, analysis of data from RP patients revealed variable G-L contributions to the building of their PH.
In this study, we confirm the previous claim that the luminance-response function of the photopic ERG b-wave can be decomposed into a Gaussian function and a logistic growth function representing, respectively, the OFF and ON retinal pathways. Furthermore, our findings suggest that this mathematical decomposition could be useful to further segregate and potentially follow the progression of retinopathies such as RP.
随着刺激强度逐渐增强,人类明视觉视网膜电图(ERG)的b波振幅首先增加至最大值(Vmax),然后下降,最终达到平稳状态,这一现象被称为明视觉峰值(PH)。此前曾提出一种结合高斯(G)函数和逻辑(L)增长函数的数学模型来拟合这种异常的亮度-反应曲线,其中G函数和L函数分别被认为代表视网膜OFF和ON通路对PH形成的贡献。
使用该数学模型分析了患有特异性影响ON(3例先天性静止性夜盲症1型,CSNB-1)或OFF(4例完全性先天性静止性夜盲症,CPCPA)视网膜通路的静止性疾病的患者以及不同阶段或病因的视网膜色素变性(RP,14例)患者的PH,并与28名正常受试者的PH进行比较。
与正常受试者相比,CSNB-1患者的PH中G函数的贡献要大得多,而CPCPA患者则相反。另一方面,对RP患者数据的分析显示,G-L函数对其PH形成的贡献各不相同。
在本研究中,我们证实了先前的观点,即明视觉ERG的b波亮度-反应函数可以分解为分别代表视网膜OFF和ON通路的高斯函数和逻辑增长函数。此外,我们的研究结果表明,这种数学分解可能有助于进一步区分并潜在地追踪诸如RP等视网膜病变的进展。