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Motivated by the papers of Mladenović and Piterbarg (2006), Krajka (2011), and Pereira and Tan (2017), we study the limit properties for the maxima from non stationary random fields subject to missing observations and obtain the weakly convergence and almost sure convergence results for these maxima. Some examples such as Gaussian random fields, chi-random fields, and Gaussian order statistics fields are given to illustrate the obtained results. [ABSTRACT FROM AUTHOR]

It is well known that dimethyl sulphoxide (DMSO) increases membrane permeability, which makes it widely used as a vehicle to facilitate drug delivery across biological membranes. However, the mechanism of how DMSO increases membrane permeability has not been well understood. Recently, molecular dynamics simulations have demonstrated that DMSO can induce water pores in biological membranes, but no direct experimental evidence is so far available to prove the simulation result. Using FluxOR Ti+ influx assay and intracellular Ca2+ imaging technique, we studied the effect of DMSO on Ti+ and Ca2+ permeation across cell membranes. Upon application of DMSO on CHO-K1 cell line, Ti+ influx was transiently increased in a dose-dependent manner. The increase in Ti+ permeability induced by DMSO was not changed in the presence of blockers for K+ channel and Na+-K+ ATPase, suggesting that Ti+ permeates through transient water pores induced by DMSO to enter into the cell. In addition, Ca2+ permeability was significantly increased upon application of DMSO, indicating that the transient water pores induced by DMSO were non-selective pores. Furthermore, similar results could be obtained from RAW264.7 macrophage cell line. Therefore, this study provided experimental evidence to support the prediction that DMSO can induce transient water pores in cell membranes, which in turn facilitates the transport of active substances across membranes. [ABSTRACT FROM AUTHOR]