We consider the Omega model with underlying Ornstein-Uhlenbeck type surplus process for an insurance company and obtain some useful results. Explicit expressions for the expected discounted penalty function at bankrup...We consider the Omega model with underlying Ornstein-Uhlenbeck type surplus process for an insurance company and obtain some useful results. Explicit expressions for the expected discounted penalty function at bankruptcy with a constant bankruptcy rate and linear bankruptcy rate are derived. Based on random observations of the surplus process, we examine the differentiability for the expected discounted penalty function at bankruptcy especially at zero. Finally, we give the Laplace transforms for occupation times as an important example of Li and Zhou [Adv. Appl. Probab., 2013, 45（4）： 1049-1067].展开更多
Prior research has shown adult diets rich in omega-3 long-chain polyunsaturated fatty acids (omega-3 LC-PUFAs) can improve adult metabolic health. Previous studies have also shown maternal overnutrition during pregnan...Prior research has shown adult diets rich in omega-3 long-chain polyunsaturated fatty acids (omega-3 LC-PUFAs) can improve adult metabolic health. Previous studies have also shown maternal overnutrition during pregnancy/lactation adversely affects metabolic functioning in adult offspring. The purpose of the current study was to investigate the interaction of these two metabolism regulating factors by assessing the effectiveness of a postweaning diet rich in omega-3 long chain-polyunsaturated fatty acids (omega-3 LC-PUFAs) to improve metabolic function in adult offspring whose mothers were fed a high-saturated fat “Western” diet during pregnancy/lactation. We compared metabolic function between offspring of three prenatal-lactation/postweaning diet lines of Sprague-Dawley rats: 1) offspring of mothers fed a high-saturated fat “Western” diet during pregnancy-lactation, then weaned to a high omega-3 LC-PUFA diet (Western/PUFA);2) offspring of mothers fed a control diet during pregnancy-lactation, then weaned to a high omega-3 LC-PUFA diet (Control/PUFA);and 3) offspring of mothers fed a Western diet during pregnancylactation, and postweaning (Western/Western). Fasting plasma insulin, triglycerides, and insulin resistance (HOMA-IR) of Western/PUFA animals were intermediate to those of Western/Western and Control/PUFA offspring, although these differences did not reach statistical significance. This suggests the metabolic benefits of an omega-3 LC-PUFA-rich diet are insufficient to overcome the deleterious effects of a high-saturated fat prenatal-lactation diet.展开更多
基金Acknowledgements The authors would like to thank the anonymous referees for valuable comments and suggestions to improve the earlier version of this paper. This work was supported by the National Natural Science Foundation of China （Grant Nos. 11401436, 11226204, 11171164, 11271385）, the Doctoral Fund Program of Tianjin Normal University （Grant No. 52XB1204）, and the MOE Youth Project in Humanities and Social Sciences （NO. 14YJCZH048）.
文摘We consider the Omega model with underlying Ornstein-Uhlenbeck type surplus process for an insurance company and obtain some useful results. Explicit expressions for the expected discounted penalty function at bankruptcy with a constant bankruptcy rate and linear bankruptcy rate are derived. Based on random observations of the surplus process, we examine the differentiability for the expected discounted penalty function at bankruptcy especially at zero. Finally, we give the Laplace transforms for occupation times as an important example of Li and Zhou [Adv. Appl. Probab., 2013, 45（4）： 1049-1067].
文摘Prior research has shown adult diets rich in omega-3 long-chain polyunsaturated fatty acids (omega-3 LC-PUFAs) can improve adult metabolic health. Previous studies have also shown maternal overnutrition during pregnancy/lactation adversely affects metabolic functioning in adult offspring. The purpose of the current study was to investigate the interaction of these two metabolism regulating factors by assessing the effectiveness of a postweaning diet rich in omega-3 long chain-polyunsaturated fatty acids (omega-3 LC-PUFAs) to improve metabolic function in adult offspring whose mothers were fed a high-saturated fat “Western” diet during pregnancy/lactation. We compared metabolic function between offspring of three prenatal-lactation/postweaning diet lines of Sprague-Dawley rats: 1) offspring of mothers fed a high-saturated fat “Western” diet during pregnancy-lactation, then weaned to a high omega-3 LC-PUFA diet (Western/PUFA);2) offspring of mothers fed a control diet during pregnancy-lactation, then weaned to a high omega-3 LC-PUFA diet (Control/PUFA);and 3) offspring of mothers fed a Western diet during pregnancylactation, and postweaning (Western/Western). Fasting plasma insulin, triglycerides, and insulin resistance (HOMA-IR) of Western/PUFA animals were intermediate to those of Western/Western and Control/PUFA offspring, although these differences did not reach statistical significance. This suggests the metabolic benefits of an omega-3 LC-PUFA-rich diet are insufficient to overcome the deleterious effects of a high-saturated fat prenatal-lactation diet.
