The establishment of pregnancy is a complex process that requires a well-coordinated interaction between the implanting conceptus and the maternal uterus. In pigs, the conceptus undergoes dramatic morphological and functional changes at the time of implantation and introduces various factors, including estrogens and cytokines, interleukin-1β2 (IL1B2), interferon-γ (IFNG), and IFN-δ (IFND), into the uterine lumen. In response to ovarian steroid hormones and conceptus-derived factors, the uterine endometrium becomes receptive to the implanting conceptus by changing its expression of cell adhesion molecules, secretory activity, and immune response. Conceptus-derived estrogens act as a signal for maternal recognition of pregnancy by changing the direction of prostaglandin (PG) F2α from the uterine vasculature to the uterine lumen. Estrogens also induce the expression of many endometrial genes, including genes related to growth factors, the synthesis and transport of PGs, and immunity. IL1B2, a pro-inflammatory cytokine, is produced by the elongating conceptus. The direct effect of IL1B2 on endometrial function is not fully understood. IL1B activates the expression of endometrial genes, including the genes involved in IL1B signaling and PG synthesis and transport. In addition, estrogen or IL1B stimulates endometrial expression of IFN signaling molecules, suggesting that estrogen and IL1B act cooperatively in priming the endometrial function of conceptus-produced IFNG and IFND that, in turn, modulate endometrial immune response during early pregnancy. This review addresses information about maternal-conceptus interactions with respect to endometrial gene expression in response to conceptus-derived factors, focusing on the roles of estrogen and IL1B during early pregnancy in pigs.

Female fertility is a highly regulated process involving the synchronized activities of multiple tissues. The underlying genomic regulation of the tissue synchronization is poorly understood. To understand this better we investigated the transcriptomes of the porcine ovary, endometrium, and oviduct at days 0, 3, 6, 9, 12, 15, or 18 of the oestrous cycle. We analysed the transcriptome profiles of the individual tissues and focus on the bridging genes shared by two or more tissues. The three tissue-networks were connected forming a triangular shape. We identified 65 bridging genes with a high level of connectivity to all other genes in the network. The expression levels showed negative correlations between the ovary and the other two tissues, and low correlations between endometrium and oviduct. The main functional annotations involved biosynthesis of steroid hormones, cell-to-cell adhesion, and cell apoptosis, suggesting that regulation of steroid hormone synthesis and tissue viability are major regulatory mechanisms.

Prostaglandins (PGs) are important lipid mediators regulating various reproductive processes in many species. In pigs, the expression pattern of PGE2 and PGF2α metabolic enzymes and the regulatory mechanism controlling PGE2 and PGF2α levels in the uterus during pregnancy are not completely understood. This study determined endometrial expression of the genes (PLA2G4A, PTGS1, PTGS2, PTGES, PTGES2, PTGES3, AKR1B1, CBR1, and HPGD) involved in PGE2 and PGF2α metabolism during the estrous cycle and pregnancy and measured levels of PGE2 and PGF2α in uterine endometrial tissues and uterine flushings at the time of conceptus implantation in pigs. Except PTGES3, expression of the genes studied changed in a pregnancy-stage-specific manner, and localization of PTGES, AKR1B1, CBR1, and HPGD mRNAs were cell-type specific in the uterine endometrium. Levels of both PGE2 and PGF2α in uterine endometrial tissues and uterine lumen were higher on Day 12 of pregnancy than those of the estrous cycle and affected by different morphology of spherical and filamentous conceptuses. Furthermore, we determined that endometrial expression of AKR1B1, known to encode a PGF2α synthase in other species, was increased by estrogen and interleukin-1beta and that AKR1B1 exhibited PGF2α synthase activity in the porcine uterine endometrium. These results in pigs indicate that the PGE2 and PGF2α metabolic enzymes are expressed stage specifically in the endometrium during pregnancy and regulate the abundance of PGE2 and PGF2α in the uterus at the time of implantation and that AKR1B1 may act as a major PGF synthase in the endometrium during early pregnancy.

Huffman, Park and Skoug obtained various results for the L p analytic Fourier-Feynman transform and the convolution of functionals in some Banach algebra S on classical Wiener space. Recently, Ahn studied L 1 analytic Fourier-Feynman transform theory for functionals in the Fresnel class F (B) of abstract Wiener space (B, ν).In this paper we first define an L p analytic Fourier-Feynman transform and a convolution of functionals on a product abstract Wiener space and establish various relationships between the Fourier-Feynman transform and convolution for functionals in the generalized Fresnel class F A 1 ,A 2 containing F (B). Also we obtain Parseval's relation for those functionals. Results of Huffman, Park, Skoug and Ahn are corollaries of our results.

Keywords:Change of scale transformation Conditional analytic Feynman w ϕ -integral Conditional analytic Wiener w ϕ -integral Conditional w ϕ -integral Simple formula for conditional w ϕ -integralIn this paper, using simple formulas for conditional w ϕ -integrals on C [0, t] with the conditioning functions X n and X n+1 , we evaluate the conditional analytic Wiener w ϕ -integrals of the function G r having the formfor F ∈ S wϕ which is a Banach algebra, and for Ψ = f + φ which need not be bounded or continuous, where f ∈ L p (R r ) and φ ∈M(R r ). And also, we establish several change of scale transformations for the conditional analytic Wiener w ϕ -integrals of G r with the conditioning functions X n and X n+1 .

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Prostaglandins (PGs) are involved in many reproductive activities including luteolysis, maternal recognition of pregnancy, endometrial gene expression, conceptus development, and parturition in domestic animals. However, mechanisms by which PGE2 and PGF2alpha are modulated in the uterine endometrium and expression of ABCC4 and SLCO2A1, responsible for efficient transport of PGs across the cell membrane, in the endometrium during the estrous cycle and pregnancy are not fully understood in pigs. Therefore, we determined expression of ABCC4 and SLCO2A1, genes involved in transport of PGE2 and PGF2alpha in the uterine endometrium during the estrous cycle and pregnancy in pigs. ABCC4 and SLCO2A1 mRNAs were expressed in the uterine endometrium, most abundantly on Day 12 of pregnancy and during late pregnancy. Expression of ABCC4 mRNA and protein was localized mainly to uterine luminal epithelial (LE) and glandular epithelial (GE) cells, and expression of SLCO2A1 mRNA and protein was expressed primarily in uterine LE and blood vessels. Expression of ABCC4 and SLCO2A1 mRNAs was also detected in conceptuses during early pregnancy. In addition, explant culture experiments showed that increasing doses of interleukin 1B (IL1B) with estrogen and progesterone increased levels of ABCC4 and SLCO2A1 mRNAs in the uterine endometrium. These results indicate that expression of genes responsible for transport of PGE2 and PGF2alpha are dynamically regulated in the uterine endometrium during pregnancy and that ABCC4 and SLCO2A1 play critical roles in supporting the establishment and maintenance of pregnancy by regulating PG transport at the maternal-fetal interface in pigs.

Huffman, Park and Skoug introduced a generalized Fourier-Feynman transform (GFFT) and a generalized convolution product (GCP) and they obtained the relationships between the GFFT and GCP for functionals in the Banach algebra S introduced by Cameron and Storvick. In this paper, we investigate various relationships among the GFFT, GCP and generalized first variation for functionals in S.