The efficacy study of trinity permeation synergism on anti-aging

Background:More and more consumers are paying attention to skin rejuvenation.However,there is a lack of a non-invasive and efficient solution.Objective:To evaluate the efficacy of a trinity permeation synergism(TPS),which consists of a firming essence,an atomizer and a photoelectric penetrator,for facial anti-aging efficacy.Material and methods:In this work,in vitro cell experiments and human efficacy study were used to evaluate the firming and anti-wrinkle effects.Cell experiments were used to verify the effect of the firming essence on the cell proliferation,migration,and anti-inflammation in keratinocytes(HaCaT),and on the gene expression levels of type I and type III collagen(Col-1 and Col-3)and type I matrix metalloproteinase(MMP-1)in human skin fibroblasts(HSF).After in vitro test,60 women aged 35–60 years were enrolled in the randomized test,of which 30 subjects were randomly selected to be the experimental group and treated with the TPS system,while the left 30 subjects were treated with the firming essence only considered as control.After 28 days,skin elasticity,skin redness value,and skin wrinkles were measured to evaluate the efficacy of the TPS system.Results:Cell experiments showed that the firming essence can significantly improve the proliferation and the migration of HaCaT cells.It also promoted the expression level of Col-1 and Col-3 gene,and inhibited the expression level of MMP-1 gene in HSF cells.After confirming the efficacy of firming essence,the efficacy benefit of the TPS was further studied.The 28-day tests show that combined use firming essence with atomizer and penetrator can significantly increase skin elasticity,reduce skin hemoglobin value and skin wrinkles on Day 28.Moreover,all the mentioned improvements are significantly better than that in the control group.Conclusion:Through efficient delivery in the whole process,TPS boosts the efficacy of active components in the firming essence.TPS offers an efficient,non-invasive,and convenient way for enhanced facial rejuvenation efficacy.

THE OPTIMAL REINSURANCE-INVESTMENT PROBLEM CONSIDERING THE JOINT INTERESTS OF AN INSURER AND A REINSURER UNDER HARA UTILITY

This paper focuses on an optimal reinsurance and investment problem for an insurance corporation which holds the shares of an insurer and a reinsurer.Assume that the insurer can purchase reinsurance from the reinsurer,and that both the insurer and the reinsurer are allowed to invest in a risk-free asset and a risky asset which are governed by the Heston model and are distinct from one another.We aim to find the optimal reinsuranceinvestment strategy by maximizing the expected Hyperbolic Absolute Risk Aversion(HARA)utility of the insurance corporation’s terminal wealth,which is the weighted sum of the insurer’s and the reinsurer’s terminal wealth.The Hamilton-Jacobi-Bellman(HJB)equation is first established.However,this equation is non-linear and is difficult to solve directly by any ordinary method found in the existing literature,because the structure of this HJB equation is more complex under HARA utility.In the present paper,the Legendre transform is applied to change this HJB equation into a linear dual one such that the explicit expressions of optimal investment-reinsurance strategies for-1≤ρi≤1 are obtained.We also discuss some special cases in a little bit more detail.Finally,numerical analyses are provided.

RIGIDITY RESULTS FOR SELF-SHRINKING SURFACES IN R^(4)

In this paper,we give some rigidity results for complete self-shrinking surfaces properly immersed in R^(4) under some assumptions regarding their Gauss images.More precisely,we prove that this has to be a plane,provided that the images of either Gauss map projection lies in an open hemisphere or S^(2)(1/2–√)∖S^(-1)+(1/2–√).We also give the classification of complete self-shrinking surfaces properly immersed in R^(4) provided that the images of Gauss map projection lies in some closed hemispheres.As an application of the above results,we give a new proof for the result of Zhou.Moreover,we establish a Bernstein-type theorem.

Certain Curvature Conditions on P-Sasakian Manifolds Admitting a Quater-Symmetric Metric Connection

The authors consider a quarter-symmetric metric connection in a P-Sasakian manifold and study the second order parallel tensor in a P-Sasakian manifold with respect to the quarter-symmetric metric connection. Then Ricci semisymmetric P-Sasakian manifold with respect to the quarter-symmetric metric connection is considered. Next the authors study ξ-concircularly flat P-Sasakian manifolds and concircularly semisymmetric P-Sasakian manifolds with respect to the quarter-symmetric metric connection. Furthermore, the authors study P-Sasakian manifolds satisfying the condition Z(ξ,Y)·S=0,where Z,S are the concircular curvature tensor and Ricci tensor respectively with respect to the quarter-symmetric metric connection. Finally, an example of a 5-dimensional P-Sasakian manifold admitting quarter-symmetric metric connection is constructed.