Ocular Phenotype of Relaxin Gene Knockout (Rln(-/-)) Mice
CURRENT EYE RESEARCH
Authors: Hampel, Ulrike; Chinnery, Holly R.; Garreis, Fabian; Paulsen, Friedrich; de Iongh, Robb; Bui, Bang, V; Nguyen, Christine; Parry, Laura; Chen, Huei Leo
Abstract
Purpose: To test if relaxin deficiency affects ocular structure and function we investigated expression of relaxin (Rln) and RXFP receptors (Rxfp1, Rxfp2), and compared ocular phenotypes in relaxin gene knockout (Rln(-/-)) and wild type (Rln(+/+)) mice. Materials and Methods: Rln, Rxfp1 and Rxfp2 mRNA expression was detected in ocular tissues of Rln+/+ mice using RT-PCR. The eyes of 11 Rln(-/-) and 5 Rln(+/+) male mice were investigated. Corneal and retinal thickness was assessed using optical coherence tomography. Intraocular pressure was measured using a rebound tonometer. Retinal, choroidal and sclera morphology and thickness were evaluated histologically. Eyes were collected and fixed for immunofluorescence staining or used for RNA extraction to evaluate mRNA expression using real-time PCR. Results: Rln mRNA was expressed only in the retina, whereas Rxfp1 transcripts were detected in the retina, cornea and sclera/choroid. Rxfp2 was only present in the cornea. None of these genes were expressed in the lacrimal gland, eyelid or lens. Intraocular pressure was higher and central cornea of Rln(-/-) mice was significantly thicker and had significantly larger endothelial cells and a lower endothelial cell density than Rln(+/+) mice. Immunohistochemistry demonstrated no significant difference in AQP3 and AQP5 staining in the cornea or other regions between wildtype and Rln(-/-) mice. mRNA expression of Aqp4 was significantly higher in Rln(-/-) than in Rln(+/+) corneas, whereas Col1a2, Mmp9, Timp1 and Timp2 were significantly decreased. Expression of Aqp1, Aqp4, Aqp5, Vim and Tjp1 was significantly decreased in Rln(-/-) compared to Rln(+/+) uvea. No significant differences in these genes were detected in the retina. Retinal, choroidal and scleral thicknesses were not different and morphology appeared normal. Conclusion: The findings indicate that loss of Rln affects expression of several genes in the uvea and cornea and results in thicker corneas with altered endothelial cells. Many of the gene changes suggest alterations in extracellular matrix and fluid transport between cells.
Higher order Emden-Fowler type equations via uniform Haar Wavelet resolution technique
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Authors: Swati; Singh, Karanjeet; Verma, Amit K.; Singh, Mandeep
Abstract
A uniform Haar wavelet collocation based method is proposed for finding the numerical results for a class of third order nonlinear (Emden-Fowler type) singular differential equations with initial and boundary conditions. At the point of singularity, the coefficient of the such equation blows up, that causes difficulties in capturing the numerical solutions near the point of singularity. Haar wavelet approach handles this peculiar situation efficiently. The proposed method is employed to reduce the IVPs/BVPs into the system of algebraic equations and the nonlinearity is taken care by Newton-Raphson method. It is demonstrated that, the method is appropriate for both initial as well as boundary conditions as these conditions are taken care automatically. Some numerical examples have been illustrated in order to demonstrate the ease of implementation and applicability of the method. The L-2 norm and absolute errors further help to manifest the improvement of the findings with the increase in resolution J. We compare our results with other methods which exists in literature, e.g., variation iteration method (VIM), cubic B-spline method, Differential transformation method (DTM), Iterative decomposition method (IDM) and modified Adomian decomposition method (MADM). The second order convergence and error analysis of the proposed method is established to depict the accuracy and stability of the proposed method. (C) 2020 Elsevier B.V. All rights reserved.