In this paper, we construct a fully homomorphic encryption (FHE) scheme over integers with the message space ZQ for any prime Q. Even for the binary case Q = 2, our decryption circuit has a smaller degree than that of the previous scheme; the multiplicative degree is reduced from O(λ(log λ)) to O(λ), where λ is the security parameter. We also extend our FHE scheme to a batch FHE scheme.

background: linoleic acid (la) is a polyunsaturated fatty acid present in high concentrations in follicular fluid, when added to maturation culture media, it affects oocyte competence.objective: in the present study, we investigated effect of linoleic acid supplementation on in vitro maturation, embryo development and apoptotic related gene expression in ovinematerials and methods: the experime...

Background: It is important to protect oocytes and embryos from oxidative stress in the culture medium. Melatonin has been shown to be a direct free radical scavenger. Therefore, effect of melatonin during in vitro oocyte maturation (IVM), fertilization and embryo development of mouse oocytes was evaluated. Materials and Methods: Oocytes from supper-ovulated mouse were divided to two groups: cu...

in traditional medicine, mentha spicata is widely used for many diseases, especially in  digestive system. it has anti-androgenic effects thus can be used by women experiencing polycystic ovary syndrome (pcos). also, it has shown to possess antioxidant properties. although beneficial, studies have shown its detrimental effect on some tissues. the present study was carried out to determine the e...

This paper analyzes the stability of a coexistence equilibrium point of a model for competition between two stage-structured populations. In this model, for each population, competition for resources may affect any one of the following population parameters: reproduction, juvenile survival, maturation rate, or adult survival. The results show that the competitive strength of a population is aff...

We present a model that considers the maturation of the antibody population following primary antigen presentation as a global optimization problem [TT99]. The trade-off that emerges from our model describes the balance between the safety of mutations that lead to local improvements in affinity and the necessity of the system to undergo global reconfigurations in the antibody’s shape in order t...

In most models of population dynamics, changes in population due to birth or harvesting are assumed to be time-independent, but many species reproduce or are caught only during a single period of the year. In this paper a single species stage-structured model with density-dependent maturation rate, birth pulse and harvesting pulse is formulated. Using the discrete dynamical system determined by...

Background: Dendritic cells (DC) induce tumor or pathogen-specific T cell responses in humans. Several laboratories have developed culture systems, including maturation factors for human DC from peripheral blood monocytes. We comprehensively compared standard maturation stimulus, an autologous monocyte-conditioned medium (MCM), with heparin for their ability to promote uniformly mature DC that ...