[Does cataract surgery increase the risk of exudative age-related macular degeneration? Results from a large retrospective case-control study]

BACKGROUND: Many epidemiological studies indicate a positive correlation between cataract surgery and the subsequent progression of age-related macular degeneration (AMD). Such a correlation would have far-reaching consequences. However, in epidemiological studies it is difficult to determine the significance of a single risk factor, such as cataract surgery. PATIENTS AND METHODS: We performed a retrospective case-control study of patients with new onset exudative age-related macular degeneration to determine if cataract surgery was a predisposing factor. A total of 1496 eyes were included in the study: 984 cases with new onset of exudative AMD and 512 control eyes with early signs of age-related maculopathy. Lens status (phakic or pseudophakic) was determined for each eye. RESULTS: There was no significant difference in lens status between study and control group (227/984 [23.1 %] vs. 112/512 [21.8 %] pseudophakic, p = 0.6487; OR = 1.071; 95 % CI = 0.8284-1.384). In cases with bilateral pseudophakia (n = 64) no statistically significant difference of the interval between cataract surgery in either eye and the onset of exudative AMD in the study eye was found (225.9 +/- 170.4 vs. 209.9 +/- 158.2 weeks, p = 0.27). CONCLUSIONS: Our results provide evidence that cataract surgery is not a major risk factor for the development of exudative AMD.

Numerical solutions of elliptic inverse problems via the equation error method

To estimate a parameter in an elliptic boundary value problem, the method of equation error chooses the value that minimizes the error in the PDE and boundary condition (the solution of the BVP having been replaced by a measurement). The estimated parameter converges to the exact value as the measured data converge to the exact value, provided Tikhonov regularization is used to control the instability inherent in the problem. The error in the estimated solution can be bounded in an appropriate quotient norm; estimates can be derived for both the underlying (infinite-dimensional) problem and a finite-element discretization that can be implemented in a practical algorithm. Numerical experiments demonstrate the efficacy and limitations of the method.

Problems in the classical calculus of variations

This dissertation concerns convergence analysis for nonparametric problems in the calculus of variations and sufficient conditions for weak local minimizer of a functional for both nonparametric and parametric problems. Newton's method in infinite-dimensional space is proved to be well-defined and converges quadratically to a weak local minimizer of a functional subject to certain boundary conditions. Sufficient conditions for global converges are proposed and a well-defined algorithm based on those conditions is presented and proved to converge. Finite element discretization is employed to achieve an implementable line-search-based quasi-Newton algorithm and a proof of convergence of the discretization of the algorithm is included. This work also proposes sufficient conditions for weak local minimizer without using the language of conjugate points. The form of new conditions is consistent with the ones in finite-dimensional case. It is believed that the new form of sufficient conditions will lead to simpler approaches to verify an extremal as local minimizer for well-known problems in calculus of variations.

The potential effect of population development, smoking and antioxidant supplementation on the future epidemiology of age-related macular degeneration in Switzerland

BACKGROUND: Due to the predicted age shift of the population an increase in the number of patients with late AMD is expected. At present smoking represents the only modifiable risk factor. Supplementation of antioxidants in patients at risk is the sole effective pharmacological prevention. The aim of this study is to estimate the future epidemiological development of late AMD in Switzerland and to quantify the potential effects of smoking and antioxidants supplementation. METHODS: The modelling of the future development of late AMD cases in Switzerland was based on a meta-analysis of the published data on AMD-prevalence and on published Swiss population development scenarios until 2050. Three different scenarios were compared: low, mean and high. The late AMD cases caused by smoking were calculated using the "population attributable fraction" formula and data on the current smoking habits of the Swiss population. The number of potentially preventable cases was estimated using the data of the Age-Related Eye Disease Study (AREDS). RESULTS: According to the mean population development scenario, late AMD cases in Switzerland will rise from 37 200 cases in 2005 to 52 500 cases in 2020 and to 93 200 cases in 2050. Using the "low" and the "high" scenarios the late AMD cases may range from 49 500 to 56 000 in 2020 and from 73 700 to 118 400 in 2050, respectively. Smoking is responsible for approximately 7 % of all late AMD cases, i. e., 2600 cases in 2005, 3800 cases in 2020, 6600 cases in 2050 ("mean scenario"). With future antioxidant supplementation to all patients at risk another 3100 cases would be preventable until 2020 and possibly 23 500 cases until 2050. CONCLUSION: Due to age shift in the population a 2.5-fold increase in late AMD cases until 2050 is expected, representing a socioeconomic challenge. Cessation of smoking and supplementation of antioxidants to all patients at risk has the potential to reduce this number. Unfortunately, public awareness is low. These data may support health-care providers and public opinion leaders when developing public education and prevention strategies.

The Age-Hardening of Duralumin

The development of wrought alloys of aluminum to which high strength and ductility can be imparted by heat treatment began with the work of Wilm and Claesser in Germany, 1905­-1911. During this time an alloy was developed which was later commercially produced in that country under the tradename of duralumin. The need for strong, light alloys for aircraft during the World War greatly hastened the development of duralumin.

The Age Hardening of Copper with Manganese Silicide.

The increase in hardness is attributed to the manganese silicide being precipitated from solid solution and deposited between crystal planes. The subsequent softening which occurs on prolonging the period of reheating is believed to be due to an agglomeration of the dispersed hardening agent.

The Age Hardening of Silver with Copper-Silicide

The successful application of the phenomenon of pre­cipitation hardening to aluminum and copper has indicated the possibility of hardening all metals in the same way. The phenomenon of age hardening was discoveredin 1911, and since that time much research has been car­ried on in all parts of the world on various alloy sys­tems.