In this paper,the I-ring which satisfies almost descending chain conditions (shorten writting A. D. C. C) on principal left ideals is studied. Two main results are gaven: (1) I-ring which satisfies A. D.C. C on princi...In this paper,the I-ring which satisfies almost descending chain conditions (shorten writting A. D. C. C) on principal left ideals is studied. Two main results are gaven: (1) I-ring which satisfies A. D.C. C on principal left ideals is Boolen. (2) Ring with identity whose principal left ideals satisfy A. D. C. C and of which each element except identity is a left zero-divisor, is Boolean.These results generalize the results of [1],[2] and [3].展开更多
BACKGROUND The retrospective review of I-ring pupil expansion ring use is designed to examine the patient characteristics and associated surgical challenges in a clinical practice.The hypothesis is that I-ring provide...BACKGROUND The retrospective review of I-ring pupil expansion ring use is designed to examine the patient characteristics and associated surgical challenges in a clinical practice.The hypothesis is that I-ring provides a necessary additive tool in dealing with challenging cataract surgeries with small pupils.AIM To document the safety profile and use of I-ring pupil expansion ring in a clinical practice.METHODS A retrospective chart review of 12 consecutive cases within the same year(2016)of cataract surgeries employing I-ring pupil expansion ring(Beaver-Visitec,International)by a single surgeon at the same ambulatory surgical center was conducted.Demographic,pre-op,intra-op,and post-op data were recorded.Total number of cataract cases performed was also recorded.RESULTS 8 of 12 cases were planned I-ring cases.1 case was decided intraoperatively when femtosecond laser caused the pupil to shrink.The other 3 cases were also decided upon intraoperatively when pupil was deemed to be small.7 patients had IFIS from Flomax use.2 patients had pseudoexfoliation syndrome as the cause of small pupil.2 patients had narrow angles with brunescent cataracts.2 patients had pre-op partial zonular dehiscence.1 patient had 360o of posterior synechiae.2 cases had ruptured posterior capsule that required anterior vitrectomy.No complications were attributed to the pupil expansion ring.A total of 296 cataract surgeries were performed that year by the surgeon,making the rate of pupil ring use 4.1%.CONCLUSION Small pupil requiring pupil expansion ring during cataract surgery is often associated with other challenges,such as brunescent cataract,zonular weakness,and posterior synechiae in this series.I-ring helped to reduce at least one challenge in these difficult cases.展开更多
In the current work, we study two infectious disease models and we use nonlinear optimization and optimal control theory which helps to find strategies towards transmission control and to forecast the international sp...In the current work, we study two infectious disease models and we use nonlinear optimization and optimal control theory which helps to find strategies towards transmission control and to forecast the international spread of the infectious diseases. The relationship between epidemiology, mathematical modeling and computational tools lets us to build and test theories on the development and fighting with a disease. This study is motivated by the study of epidemiological models applied to infectious diseases in an optimal control perspective. We use the numerical methods to display the solutions of the optimal control problems to find the effect of vaccination on these models. Finally, global sensitivity analysis LHS Monte Carlo method using Partial Rank Correlation Coefficient (PRCC) has been performed to investigate the key parameters in model equations. This present work will advance the understanding about the spread of infectious diseases and lead to novel conceptual understanding for spread of them.展开更多
文摘In this paper,the I-ring which satisfies almost descending chain conditions (shorten writting A. D. C. C) on principal left ideals is studied. Two main results are gaven: (1) I-ring which satisfies A. D.C. C on principal left ideals is Boolen. (2) Ring with identity whose principal left ideals satisfy A. D. C. C and of which each element except identity is a left zero-divisor, is Boolean.These results generalize the results of [1],[2] and [3].
基金Supported by a research grant from Beaver-Visited International,the manufacturer of the I-ring
文摘BACKGROUND The retrospective review of I-ring pupil expansion ring use is designed to examine the patient characteristics and associated surgical challenges in a clinical practice.The hypothesis is that I-ring provides a necessary additive tool in dealing with challenging cataract surgeries with small pupils.AIM To document the safety profile and use of I-ring pupil expansion ring in a clinical practice.METHODS A retrospective chart review of 12 consecutive cases within the same year(2016)of cataract surgeries employing I-ring pupil expansion ring(Beaver-Visitec,International)by a single surgeon at the same ambulatory surgical center was conducted.Demographic,pre-op,intra-op,and post-op data were recorded.Total number of cataract cases performed was also recorded.RESULTS 8 of 12 cases were planned I-ring cases.1 case was decided intraoperatively when femtosecond laser caused the pupil to shrink.The other 3 cases were also decided upon intraoperatively when pupil was deemed to be small.7 patients had IFIS from Flomax use.2 patients had pseudoexfoliation syndrome as the cause of small pupil.2 patients had narrow angles with brunescent cataracts.2 patients had pre-op partial zonular dehiscence.1 patient had 360o of posterior synechiae.2 cases had ruptured posterior capsule that required anterior vitrectomy.No complications were attributed to the pupil expansion ring.A total of 296 cataract surgeries were performed that year by the surgeon,making the rate of pupil ring use 4.1%.CONCLUSION Small pupil requiring pupil expansion ring during cataract surgery is often associated with other challenges,such as brunescent cataract,zonular weakness,and posterior synechiae in this series.I-ring helped to reduce at least one challenge in these difficult cases.
文摘In the current work, we study two infectious disease models and we use nonlinear optimization and optimal control theory which helps to find strategies towards transmission control and to forecast the international spread of the infectious diseases. The relationship between epidemiology, mathematical modeling and computational tools lets us to build and test theories on the development and fighting with a disease. This study is motivated by the study of epidemiological models applied to infectious diseases in an optimal control perspective. We use the numerical methods to display the solutions of the optimal control problems to find the effect of vaccination on these models. Finally, global sensitivity analysis LHS Monte Carlo method using Partial Rank Correlation Coefficient (PRCC) has been performed to investigate the key parameters in model equations. This present work will advance the understanding about the spread of infectious diseases and lead to novel conceptual understanding for spread of them.
