A LATS biosensor screen identifies VEGFR as a regulator of the Hippo pathway in angiogenesis.

The Hippo pathway is a central regulator of tissue development and homeostasis, and has been reported to have a role during vascular development. Here we develop a bioluminescence-based biosensor that monitors the activity of the Hippo core component LATS kinase. Using this biosensor and a library of small molecule kinase inhibitors, we perform a screen for kinases modulating LATS activity and identify VEGFR as an upstream regulator of the Hippo pathway. We find that VEGFR activation by VEGF triggers PI3K/MAPK signaling, which subsequently inhibits LATS and activates the Hippo effectors YAP and TAZ. We further show that the Hippo pathway is a critical mediator of VEGF-induced angiogenesis and tumor vasculogenic mimicry. Thus, our work offers a biosensor tool for the study of the Hippo pathway and suggests a role for Hippo signaling in regulating blood vessel formation in physiological and pathological settings.

Natural cytotoxicity receptor 1 in mouse uNK cell maturation and function.

Early and midgestational decidua of mice genetically ablated for expression of the natural killer (NK) cell natural cytotoxicity receptor (NCR; Ncr1Gfp/Gfp mice) shows restricted angiogenesis and atypically small uterine (u)NK cells. We hypothesized that NCR1 inactivation disturbs maturation and angiokine production by uterine natural killer (uNK) cells. Using histological and morphometric approaches, we observed that Ncr1Gfp/Gfp but not control C57BL/6 (B6) implantation sites sustain immature, non-granulated uNK cells into midpregnancy. Mouse uNK cells can be subclassified by their reactivity with Dolichos biflorus agglutinin (DBA) lectin; DBA+ uNK cells with greater Ncr1 expression were investigated. DBA+ uNK cells from Ncr1Gfp/Gfp mice show delayed maturation as indicated by shorter diameters and fewer cytoplasmic granules. Granules in mature Ncr1Gfp/Gfp uNK cells are ultrastructurally abnormal and abundance of granule-associated proteins (perforin, granzyme) and of cytoplasmic proteins (vascular endothelial growth factor; placental growth factor) differs from controls. Leukocyte-leukocyte conjugate formation in gestation day 6.5 and 8.5 intact Ncr1Gfp/Gfp decidua was less frequent than in B6; however, this difference involved leukocytes other than DBA+ uNK cells. These studies strongly support roles for NCR1 and its ligands in normal pregnancy promotion.

Diffusion Tensor Imaging of White Matter in Children Born from Preeclamptic Gestations.

BACKGROUND AND PURPOSE: Individuals born from pregnancies complicated by preeclampsia have an elevated risk for cognitive impairment. Deviations in maternal plasma angiokines occur for prolonged intervals before clinical signs of preeclampsia. We hypothesized that fetal brain vascular and nervous tissue development become deviated during maternal progression toward preeclampsia and that such deviations would be detectable by MR imaging. MATERIALS AND METHODS: In this pilot study, 10 matched (gestational and current ages) pairs (5 boys/5 girls, 7-10 years of age) from preeclampsia or control pregnancies were examined by using diffusion tensor MR imaging. An unbiased voxel-based analysis was conducted on fractional anisotropy and mean diffusivity parametric maps. Six brain ROIs were identified for subsequent analysis by tractography (middle occipital gyrus, caudate nucleus and precuneus, cerebellum, superior longitudinal fasciculus, and cingulate gyrus). RESULTS: Statistical differences were present between groups for fractional anisotropy in the caudate nucleus (offspring from preeclamptic gestation > controls), volume of the tract for the superior longitudinal fasciculus (offspring from preeclamptic gestation > controls) and the caudate nucleus (offspring from preeclamptic gestation > controls), and for parallel diffusivity of the cingulate gyrus (offspring from preeclamptic gestation > controls). CONCLUSIONS: These novel preliminary results along with previous results from the same children that identified altered cerebral vessel calibers and increased regional brain volumes justify fully powered MR imaging studies to address the impact of preeclampsia on human fetal brain development.

Brain Structural and Vascular Anatomy Is Altered in Offspring of Pre-Eclamptic Pregnancies: A Pilot Study.

BACKGROUND AND PURPOSE: Pre-eclampsia is a serious clinical gestational disorder occurring in 3%-5% of all human pregnancies and characterized by endothelial dysfunction and vascular complications. Offspring born of pre-eclamptic pregnancies are reported to exhibit deficits in cognitive function, higher incidence of depression, and increased susceptibility to stroke. However, no brain imaging reports exist on these offspring. We aimed to assess brain structural and vascular anatomy in 7- to 10-year-old offspring of pre-eclamptic pregnancies compared with matched controls. MATERIALS AND METHODS: Offspring of pre-eclamptic pregnancies and matched controls (n = 10 per group) were recruited from an established longitudinal cohort examining the effects of pre-eclampsia. Children underwent MR imaging to identify brain structural and vascular anatomic differences. Maternal plasma samples collected at birth were assayed for angiogenic factors by enzyme-linked immunosorbent assay. RESULTS: Offspring of pre-eclamptic pregnancies exhibited enlarged brain regional volumes of the cerebellum, temporal lobe, brain stem, and right and left amygdalae. These offspring displayed reduced cerebral vessel radii in the occipital and parietal lobes. Enzyme-linked immunosorbent assay analysis revealed underexpression of the placental growth factor among the maternal plasma samples from women who experienced pre-eclampsia. CONCLUSIONS: This study is the first to report brain structural and vascular anatomic alterations in the population of offspring of pre-eclamptic pregnancies. Brain structural alterations shared similarities with those seen in autism. Vascular alterations may have preceded these structural alterations. This pilot study requires further validation with a larger population to provide stronger estimates of brain structural and vascular outcomes among the offspring of pre-eclamptic pregnancies.

Sildenafil (Viagra®) blocks inflammatory injury in LPS-induced mouse abortion: A potential prophylactic treatment against acute pregnancy loss?

INTRODUCTION: Recurrent pregnancy losses (RPL) are common women's health issues. Inflammatory and thrombotic events have been associated with RPL including excessive production of cytokines, in particular TNF-α. However, mechanisms behind gestational losses are not yet fully understood. Sildenafil inhibits phosphodiesterase Type-5 (PDE5). This drug increases intracellular cyclic guanosine monophosphate, having vasodilatory and, more recently described, anti-inflammatory properties. PDE5 is present in murine and human uterus and placenta. Sildenafil is already used clinically for treatment of human fetal growth restriction (FGR). Our objective was to determine if Sildenafil alone or in combination with Heparin had protective effects in pregnant Swiss albino challenged to abort by lipopolysaccharide (LPS). METHODS: Treatments (Sildenafil (50 mg/kg/day), Heparin (500 IU/Kg/day) or Sildenafil + Heparin at the same doses) were initiated the morning of copulation plug detection (gestational day (gd0)). On the 15th day of pregnancy, an intra-peritoneal injection of LPS (100 µg/kg) was administered. Untreated, pregnant mice challenged by LPS served as controls. RESULTS: Assessments at 48 h after LPS revealed that Sildenafil + Heparin prevented fetal loss. Early assessments at 2 h after LPS indicated that the pretreatments prevented induction of inflammatory cytokine production (TNF-α, IL-1ß/NF-κß) and preserved placental histopathology. DISCUSSION: Combined Sildenafil + Heparin therapy was superior to either treatment alone in most analyses. The known safety of Sildenafil and Heparin in human pregnancy suggests that usage of these combined agents may be of value for treatment of patients with impending pregnancy loss or prophylactically in women with a history of recurrent miscarriages.

Impact of placental growth factor deficiency on early mouse implant site angiogenesis.

Effects of placental growth factor (PGF), an angiokine product of fetal trophoblasts and maternal decidual cells, on early decidual angiogenesis are undefined. We used whole-mount immunofluorescence analyses to compare uterus and gestation day 4.5-9.5 mouse implantation sites that differed genetically in fetal or maternal PGF deficiency. Implant site number and embryonic development were similar in Pgf(-/-) and Pgf(+/+) females although Pgf(-/-) lymphatic vessels were anomalous. Correct, fine branching angiogenesis of anti-mesometrial vessels required both conceptus and maternal PGF; correct mesometrial branching angiogenesis depended solely upon conceptus PGF. Thus, PGF is non-redundant for optimizing branching angiogenesis in early decidua.

Uterine natural killer cells pace early development of mouse decidua basalis.

Pregnancy involves progressive relationship changes between conceptus-derived trophoblasts and maternal decidual vessels and leukocytes. Uterine natural killer (uNK) cells, the dominant leukocytes in early human and mouse decidua, have late gestational cardio-protective roles through mid-gestational initiation of decidual spiral arterial modification. The earlier gestational functions of uNK cells are unknown. Comparisons of gestation days (GD) 6.5-9.5 implant sites from allogeneically mated alymphoid or normal BALB/c mice (Rag2(-/-)Il2rg(-/-); NK-T-B- versus +/+) by whole mount immunohistochemistry revealed delays in Rag2(-/-)Il2rg(-/-) uterine lumen closure, trophoblast invasion and conceptus development. Also delayed were onset of mesometrial angiogenesis and pruning of neo-vascular networks in decidua basalis. This phenotype was fully reversed in BALB/c-Rag2(-/-)Il2rg(-/-) pregnancies that followed adoptive Rag2(-/-) (NK+B-T-) marrow transfer. These data suggest that uNK cells coordinate GD-appropriate phases of decidual angiogenesis, which in turn paces progressive changes in early implant sites that support normal fetal growth. Similar roles for human CD56(bright) decidual NK cells could explain the importance of CD56(bright) decidual NK cell activation to pregnancy success.

IFPA Meeting 2013 Workshop Report III: maternal placental immunological interactions, novel determinants of trophoblast cell fate, dual ex vivo perfusion of the human placenta.

Workshops are an important part of the IFPA annual meeting as they allow for discussion of specialised topics. At IFPA meeting 2013 there were twelve themed workshops, three of which are summarized in this report. These workshops related to various aspects of placental biology but collectively covered areas of placental function, cell turnover and immunology: 1) immunology; 2) novel determinants of placental cell fate; 3) dual perfusion of human placental tissue.

Receptors for non-MHC ligands contribute to uterine natural killer cell activation during pregnancy in mice.

INTRODUCTION: Activated uterine natural killer (uNK) cells are abundant in early human and mouse decidual basalis. In mice, distinct uNK cell subsets support early endothelial tip cell induction, the pruning of new vessels and initiation of spiral arterial modification. While genetic studies indicate that NK/uNK cell activation via receptors recognizing Class I MHC-derived peptides promotes human pregnancy, roles for other activation receptors expressed by NK cells, such as the aryl hydrocarbon receptor (AHR) and natural cytotoxicity receptors (NCR) are undefined in human or mouse pregnancies. METHODS: Expression of AHR and NCR1 (ortholog of human NKp46) by gestation day (gd)10.5 mouse uNK cell subsets was measured by quantitative real-time RT-PCR. Early implantation sites from mice lacking expression of either receptor were examined histologically. RESULTS: Gd10.5 uNK cell subsets, separated by reactivity to Dolichos biflorus agglutinin lectin, differed in relative transcript abundance for Ahr and Ncr1. Quantitative histology revealed that, in comparison to C57BL/6 controls, implant sites from gd10.5 Ahr(-/-) and gd6.5-12.5 UkCa:B6.Ncr1(Gfp/Gfp) mice had normal uNK cell abundance but the uNK cells were smaller than normal and unable to trigger spiral arterial remodeling. Whole mount immunohistochemistry comparisons of viable, gd6.5-8.5 Ncr1(Gfp/Gfp) and C57BL/6 implant sites revealed deficits in implant site angiogenesis and conceptus growth in Ncr1(Gfp/Gfp). DISCUSSION: In mice, activation of AHR and of NCR1 by endogenous, as yet undefined ligands, contributes to uNK cell activation/maturation and angiogenic functions during early to mid-gestation pregnancy. MHC-independent activation of uNK cells also likely makes critical contributions to human pregnancy success.

IFPA Meeting 2011 workshop report II: Angiogenic signaling and regulation of fetal endothelial function; placental and fetal circulation and growth; spiral artery remodeling.

Workshops are an important part of the IFPA annual meeting as they allow for discussion of specialized topics. At IFPA meeting 2011 there were twelve themed workshops, three of which are summarized in this report. These workshops related to vascular systems and circulation in the mother, placenta and fetus, and were divided in to 1) angiogenic signaling and regulation of fetal endothelial function; 2) placental and fetal circulation and growth; 3) spiral artery remodeling.

IFPA Meeting 2011 workshop report III: Placental immunology; epigenetic and microRNA-dependent gene regulation; comparative placentation; trophoblast differentiation; stem cells.

Workshops are an important part of the IFPA annual meeting as they allow for discussion of specialised topics. At IFPA meeting 2011 there were twelve themed workshops, five of which are summarized in this report. These workshops related to various aspects of placental biology: 1) immunology; 2) epigenetics; 3) comparative placentation; 4) trophoblast differentiation; 5) stem cells.

Circulatory and renal consequences of pregnancy in diabetic NOD mice.

OBJECTIVES: Women with diabetes have elevated gestational risks for severe hemodynamic complications, including preeclampsia in mid- to late pregnancy. This study employed continuous, chronic radiotelemetry to compare the hemodynamic patterns in non-obese diabetic (NOD) mice who were overtly diabetic or normoglycemic throughout gestation. We hypothesized that overtly diabetic, pregnant NOD mice would develop gestational hypertension and provide understanding of mechanisms in progression of this pathology. STUDY DESIGN: Telemeter-implanted, age-matched NOD females with and without diabetes were assessed for six hemodynamic parameters (mean, systolic, diastolic, pulse pressures, heart rate and activity) prior to mating, over pregnancy and over a 72 h post-partum interval. Urinalysis, serum biochemistry and renal histopathology were also conducted. RESULTS: Pregnant, normoglycemic NOD mice had a hemodynamic profile similar to other inbred strains, despite insulitis. This pattern was characterized by an interval of pre-implantation stability, post implantation decline in arterial pressure to mid gestation, and then a rebound to pre-pregnancy baseline during later gestation. Overtly diabetic NOD mice had a blood pressure profile that was normal until mid-gestation then become mildly hypotensive (-7 mmHg, P < 0.05), severely bradycardic (-80 bpm, P < 0.01) and showed signs of acute kidney injury. Pups born to diabetic dams were viable but growth restricted, despite their mothers' failing health, which did not rebound post-partum (-10% pre-pregnancy pressure and HR, P < 0.05). CONCLUSIONS: Pregnancy accelerates circulatory and renal pathologies in overtly diabetic NOD mice and is characterized by depressed arterial pressure from mid-gestation and birth of growth-restricted offspring.

Circulating CD56+ cells of diabetic women show deviated homing potential for specific tissues during and following pregnancy.

BACKGROUND: Human uterine natural killer (uNK) cells, the dominant lymphocytes in early pregnancy decidua, are important for spiral arterial remodelling. uNK cells are thought to arise from circulating CD56(bright) NK cells that egress into decidualizing endometrium. Both incomplete spiral arterial modification and aberrant NK cell function have been linked with pre-eclampsia, a syndrome that is more prevalent in diabetic women. Since previous in vitro studies have shown that changes in decidual endothelium induced by type 1 diabetes (T1D) reduce its interactions with circulating leucocytes, we hypothesized that diabetes additionally has direct effects on circulating CD56(+) NK cells that impair their decidual homing potential. METHODS: Serial blood samples were collected from control, T1D and T2D pregnant women throughout and after pregnancy. In vitro adhesion under shear forces was used to assay the functional capacity of circulating leucocytes and of CD56(+) cells to adhere to endothelium in cryostat sections of gestation day (gd) 7 normal mouse decidua, pancreas and lymph node. RESULTS: Fewer CD56(+) cells from diabetic compared with control women adhered to normal decidual endothelium. The CD56(+) cell/total cell adhesion ratio was also lower in diabetics. More diabetic CD56(+) cells adhered to pancreatic endothelium and their proportion was greater than for controls. Neither absolute nor proportional adhesion of CD56(+) cells to lymph node endothelium differed between diabetics and controls. CONCLUSIONS: The CD56(+) cell adhesion patterns of T1D and T2D women differ from those of non-diabetic women and support the hypothesis that diabetes impairs mechanisms that could be used by CD56(+) cells for egress into decidua.

Interferon gamma contributes to preimplantation embryonic development and to implantation site structure in NOD mice.

BACKGROUND: Pre-eclampsia, a syndrome usually accompanied by incomplete spiral arterial modification, occurs at an increased frequency in diabetic women. Hyperglycemia in non-obese type 1 diabetic (NOD) mice impairs gestational spiral arterial remodeling despite high local levels of interferon gamma (Ifng), the triggering cytokine in mice. Pregnancies in NOD.Ifng(-/-) mice were assessed to investigate this issue. METHODS: Fecundity was assessed using the breeding history, flushing of preimplantation embryos and histological and morphometric studies of implantation sites in normoglycemic (n-) and hyperglycemic (d-) females of NOD.Ifng(-/-) and NOD genotypes. RESULTS: NOD.Ifng(-/-) but not NOD mice are mostly infertile. In NOD.Ifng(-/-), copulation often does not result in a post-implantation pregnancy. Defective fertilization and delayed preimplantation development limit n-NOD.Ifng(-/-) fertility, and both mechanisms are exacerbated by hyperglycemia. At mid-gestation, implantation sites in n-NOD.Ifng(-/-) and n-NOD mice are histologically similar. However, in d-NOD.Ifng(-/-), there is minimal development of spiral arteries, hypertrophy of the myometrial region containing uterine Natural Killer (uNK) cells and a deficit in cytoplasmic granule formation in the uNK cells. CONCLUSIONS: Ifng contributes to the success of fertilization and to the rate of preimplantation mouse embryo development in normogylcemic and hyperglycemic pregnancies. A physiological role for this cytokine in human preimplantation development merits investigation.

Fetal-placental hypoxia does not result from failure of spiral arterial modification in mice.

OBJECTIVES: To determine if fetal-placental hypoxia is a primary outcome of defective spiral artery remodeling. STUDY DESIGN: Pregnancies in Rag2(-/-)Il2rg(-/-) double knock-out mice, which fail to undergo normal physiological spiral arterial remodeling, were compared to syngeneic BALB/c control pregnancies. Mice at gestation day (gd)6, 8, 10, 12 and 18 were infused with Hypoxyprobe-1 before euthanasia to enable detection of cellular hypoxia by immunohistochemistry. RESULTS: In implantation sites of both phenotypes, trophoblast cells were reactive to Hypoxyprobe-1. No major differences were observed between the phenotypes in decidua or placenta at any gd or in gd18 fetal brain, lung, heart, liver or intestine or in maternal heart, brain, liver or spleen. Maternal kidneys from BALB/c were significantly hypoxic to Rag2(-/-)Il2rg(-/-) kidneys. CONCLUSIONS: In mice, lack of pregnancy-associated spiral artery remodeling does not impair oxygen delivery to the conceptus, challenging the concept that deficient spiral arterial remodeling leads to fetal hypoxia in human gestational complications such as preeclampsia and fetal growth restriction. The isolated hypoxic response of normal kidney has revealed that renal lymphocytes may have unique, tissue-specific regulatory actions on vasoconstriction that are pregnancy independent.

Orphan receptor kinase ROR2 is expressed in the mouse uterus.

OBJECTIVE: Wingless-type mouse mammary tumor virus integration site family, member 5A (WNT5A), is expressed in mouse decidua and is thought to play an important role in decidualization. We examined expression of the receptor for WNT5A, receptor tyrosine kinase-like orphan receptor 2 (ROR2), in the uteri of cycling and pregnant mice. STUDY DESIGN: Reverse transcription (RT)-PCR and immunohistochemistry were performed. RESULTS: RT-PCR revealed that transcripts for Ror2, Wnt3a, Wnt5a and inhibitor of WNT signaling, Dickkopf homolog 1 (Dkk1), were present in the pregnant uterus. Immunohistochemistry revealed that in the virgin uterus, ROR2 is expressed in stromal cells and on the basal side of uterine gland and endometrial epithelial cells. During pregnancy, both the luminal and basal side of uterine gland epithelial cells expressed ROR2, stromal cell expression of ROR2 became more frequent and ROR2 expressing uterine Natural Killer (NK) cells and cells lining the maternal vascular space emerged. Immunofluorescence imaging and flow cytometry revealed that although uterine NK cells expressed ROR2, NK cells of the spleen were ROR2 negative. CONCLUSION: The expression of ROR2 by endometrial epithelial cells may suggest WNT signaling has roles in uterine epithelial cell polarity or implantation. Expression of ROR2 by uterine NK cells may suggest WNT signaling regulates uterine NK cell functions such angiogenesis and regulation of trophoblast migration. In summary, our results show that ROR2 expression by maternal uterine cells is influenced by pregnancy.

Cellular and molecular events in early and mid gestation porcine implantation sites: a review.

Commercial, North American pork breeds (Sus scrofa) experience significant loss of genetically-normal conceptuses during the peri-implantation (attachment) period and at mid-gestation (day 50 to 90 of the 114 day porcine gestation interval). Although exact causes for these losses are not defined, asynchronous in-utero development and deficits in vascularization of the endometrium and placenta appear to be involved. Understanding of normal maternal-fetal dialogue is critical to develop breeding or therapeutic strategies that improve fetal health and overall litter size in commercial pigs. The non-invasive, epitheliochorial porcine placenta permits investigation of maternal or fetal compartments without cross contaminating cells. We developed and use protocols to capture single, homogenous populations of porcine cells (endometrial lymphocytes, dendritic or endothelial cells) from histological sections using laser capture microdissection (LCM), a powerful tool for study of gene expression that reflects the in vivo environment. These data are compared with gene expression in biopsies of endometrium and of trophoblast from the same, attachment sites. Here we review justifications for selection of the genes we have studied and our published and in progress work. These data provide new insights into the roles of the endometrial immune environment in the regulation of the success and failure of porcine conceptuses.

DBA-lectin reactivity defines natural killer cells that have homed to mouse decidua.

During normal mouse pregnancy, abundant numbers of uterine natural killer (uNK) cells differentiate at implantation sites and contribute to early, post-implantation endometrial angiogenesis and to spiral arterial modification. Mouse uNK cells are confidently recognized by light microscopy in tissue sections stained with special protocols. Classically, mouse uNK cells were identified as lymphocytes containing Periodic Acid Schiff's (PAS) reactive cytoplasmic granules. More recently, Dolichos biflorus lectin (DBA) reactions which stain not only the cytoplasmic granules but also the uNK cell membranes have been widely adopted. No lymphocytes in any tissues of virgin mice or external to the uterus of pregnant mice have DBA lectin reactivity equivalent to that of uNK cells; however, some uNK cells are now recognized as DBA-. Here, we describe a PAS/DBA lectin double staining protocol and assess the coincident staining of C57Bl/6J uNK cells from gestation day (gd)6, the first day of uNK cell abundance, to gd12, the day when Tunel+ nuclear senecence appears widely in uNK cells before their numerical decline. For these gd, PAS+ DBA- and PAS+DBA+ cells but not PAS-DBA+ cells were identified. Dual positive cells increased from 47% at gd6 to 85% at gd12. Transplantation of normal bone marrow into alymphoid mice who were subsequently mated revealed the uterus repopulated by doubly reactive PAS+DBA+ uNK cells (>95%). Thus, in normal pregnancies, most uNK cells appear to arise from progenitor cells that have homed to the uterus.

NK cells detect changes in adaptive immunity within mouse decidua from gestation day eight.

Viable human CD56+ CD16- peripheral blood Natural Killer (NK) cells show specific in vitro binding under shear forces to ligands expressed by endothelial cells in cryostat sections of gestation day (gd)7 mouse decidua basalis. In serial assays, numbers of cells adhering to gd7 tissue are constant for men but have cyclical variation for fertile women, suggesting a brief gain in functional decidual homing potential of this NK cell subset during the menstrual cycle. Regardless of gender, numbers of adhering cells from an individual donor, increase dramatically when the substrate is decidua basalis from a later gestational timepoint. Here, we report that human blood CD56+ CD16- NK cells which adhere as single cells over gd7 decidua basalis, adhere as large clusters over gd8 and gd9 tissues, suggestive of antigen recognition and lymphocyte activation. We asked which cells within mouse decidua basalis trigger this response in CD56+ CD16- cells. Using decidua from mice transgenic for myeloid dendritic cell (mDC) expression of enhanced yellow fluorescent protein (eYFP), we found cluster formation was independent of mDC contact. Use of decidua from alymphoid mice showed clustering behavior required substrate lymphocytes. By use of decidua containing NK cells but lacking T and B cells, decidual T and/or B lymphocytes were identified as the cells altered after gd7 in a manner that activates CD56+ CD16- cell clustering. This timepoint is just prior to mouse spiral arterial modification and its detection by these indicator cells implicates adaptive, decidual immune responses in the regulation of NK cell function.