RESUMEN
We demonstrate the alignment-preserving transfer of parallel graphene nanoribbons (GNRs) onto insulating substrates. The photophysics of such samples is characterized by polarized Raman and photoluminescence (PL) spectroscopies. The Raman scattered light and the PL are polarized along the GNR axis. The Raman cross section as a function of excitation energy has distinct excitonic peaks associated with transitions between the one-dimensional parabolic subbands. We find that the PL of GNRs is intrinsically low but can be strongly enhanced by blue laser irradiation in ambient conditions or hydrogenation in ultrahigh vacuum. These functionalization routes cause the formation of sp3 defects in GNRs. We demonstrate the laser writing of luminescent patterns in GNR films for maskless lithography by the controlled generation of defects. Our findings set the stage for further exploration of the optical properties of GNRs on insulating substrates and in device geometries.
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Dermatitis Herpetiforme/dietoterapia , Dieta Sin Gluten , Inmunoglobulina A/metabolismo , Transglutaminasas/metabolismo , Adulto , Anciano , Niño , Dermatitis Herpetiforme/enzimología , Dermis/enzimología , Dermis/metabolismo , Femenino , Humanos , Cuidados a Largo Plazo , Masculino , Microscopía Fluorescente , Persona de Mediana Edad , Adulto JovenRESUMEN
Homozygosity for a nonsense mutation in the fucosyltransferase 2 (FUT2) gene (rs601338G>A) leads to the absence of ABH blood groups (FUT2 non-secretor status) in body fluids. As the secretor status has been shown to be a major determinant for the gut microbial spectrum, assumed to be important in the gut immune homeostasis, we studied the association of rs601338-FUT2 with celiac disease (CelD) and inflammatory bowel disease (IBD) in the Finnish population. Rs601338 was genotyped in CelD (n = 909), dermatitis herpetiformis (DH) (n = 116), ulcerative colitis (UC) (n = 496) and Crohn's disease (CD) (n = 280) patients and healthy controls (n = 2738). CelD showed significant genotypic [P = 0.0074, odds ratio (OR): 1.28] and recessive (P = 0.015, OR: 1.28) association with the rs601338-AA genotype. This was also found in the combined CelD+DH dataset (genotype association: P = 0.0060, OR: 1.28; recessive association: P < 0.011, OR: 1.28). The A allele of rs601338 showed nominal association with dominant protection from UC (P = 0.044, OR: 0.82) and UC+CD (P = 0.035, OR: 0.84). The frequency of non-secretors (rs601338-GG) in controls, CelD, DH, UC and CD datasets was 14.7%, 18%, 18.1%, 14.3% and 16.1%, respectively. No association was evident in the DH or CD datasets alone. In conclusion, FUT2 non-secretor status is associated with CelD susceptibility and FUT2 secretor status may also play a role in IBD in the Finnish population.
Asunto(s)
Enfermedad Celíaca/enzimología , Enfermedad Celíaca/genética , Fucosiltransferasas/genética , Enfermedades Inflamatorias del Intestino/enzimología , Enfermedades Inflamatorias del Intestino/genética , Alelos , Secuencia de Bases , Estudios de Casos y Controles , Colitis Ulcerosa/enzimología , Colitis Ulcerosa/genética , Enfermedad de Crohn/enzimología , Enfermedad de Crohn/genética , Cartilla de ADN/genética , Dermatitis Herpetiforme/enzimología , Dermatitis Herpetiforme/genética , Finlandia , Genes Recesivos , Estudios de Asociación Genética , Genotipo , Humanos , Polimorfismo de Nucleótido Simple , Factores de Riesgo , Galactósido 2-alfa-L-FucosiltransferasaRESUMEN
PURPOSE: To develop an automated method to detect breast masses on dedicated breast CT (BCT) volumes and to conduct a preliminary evaluation of its performance. This method can be used in a computer-aided detection (CADe) system for noncontrast enhanced BCT. METHODS: The database included patient images, which were acquired under an IRB-approved protocol. The database in this study consisted of 132 cases. 50 cases contained 58 malignant masses, and 23 cases contained 24 benign masses. 59 cases did not contain any biopsy-proven lesions. Each case consisted of an unenhanced CT volume of a single breast. First, each breast was segmented into adipose and glandular tissues using a fuzzy c-means clustering algorithm. The glandular breast regions were then sampled at a resolution of 2 mm. At each sampling step, a 3.5-cm(3) volume-of-interest was subjected to constrained region segmentation and 17 characteristic features were extracted, yielding 17 corresponding feature volumes. Four features were selected using step-wise feature selection and merged with linear discriminant analysis trained in the task of distinguishing between normal breast glandular regions and masses. Detection performance was measured using free-response receiver operating characteristic analysis (FROC) with leave-one-case-out evaluation. RESULTS: The feature selection stage selected features that characterized the shape and margin strength of the segmented region. CADe sensitivity per case was 84% (std = 4.2%) at 2.6 (std = 0.06) false positives per volume, or 6 × 10(-3) per slice (at an average of 424 slices per volume in this data set). CONCLUSIONS: This preliminary study demonstrates the feasibility of our approach for CADe for BCT.
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Algoritmos , Imagenología Tridimensional/métodos , Mamografía/métodos , Reconocimiento de Normas Patrones Automatizadas/métodos , Interpretación de Imagen Radiográfica Asistida por Computador/métodos , Tomografía Computarizada por Rayos X/métodos , Femenino , Humanos , Proyectos Piloto , Intensificación de Imagen Radiográfica/métodos , Reproducibilidad de los Resultados , Sensibilidad y EspecificidadRESUMEN
In coeliac disease, the intake of dietary gluten induces small-bowel mucosal damage and the production of immunoglobulin (Ig)A class autoantibodies against transglutaminase 2 (TG2). We examined the effect of coeliac patient IgA on the apical-to-basal passage of gluten-derived gliadin peptides p31-43 and p57-68 in intestinal epithelial cells. We demonstrate that coeliac IgA enhances the passage of gliadin peptides, which could be abolished by inhibition of TG2 enzymatic activity. Moreover, we also found that both the apical and the basal cell culture media containing the immunogenic gliadin peptides were able to induce the proliferation of deamidation-dependent coeliac patient-derived T cells even in the absence of exogenous TG2. Our results suggest that coeliac patient IgA could play a role in the transepithelial passage of gliadin peptides, a process during which they might be deamidated.
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Enfermedad Celíaca/inmunología , Células Epiteliales/inmunología , Gliadina/inmunología , Inmunoglobulina A/inmunología , Amidas/metabolismo , Secuencia de Aminoácidos , Autoanticuerpos/inmunología , Autoanticuerpos/metabolismo , Células CACO-2 , Enfermedad Celíaca/metabolismo , Proliferación Celular/efectos de los fármacos , Inhibidores Enzimáticos/farmacología , Células Epiteliales/metabolismo , Proteínas de Unión al GTP/antagonistas & inhibidores , Proteínas de Unión al GTP/inmunología , Proteínas de Unión al GTP/metabolismo , Gliadina/metabolismo , Gliadina/farmacología , Humanos , Inmunoglobulina A/metabolismo , Intestino Delgado/inmunología , Intestino Delgado/metabolismo , Intestino Delgado/patología , Fragmentos de Péptidos/inmunología , Fragmentos de Péptidos/metabolismo , Fragmentos de Péptidos/farmacología , Proteína Glutamina Gamma Glutamiltransferasa 2 , Transporte de Proteínas , Linfocitos T/inmunología , Linfocitos T/metabolismo , Transglutaminasas/antagonistas & inhibidores , Transglutaminasas/inmunología , Transglutaminasas/metabolismoRESUMEN
Currently the only treatment for coeliac disease is a lifelong gluten-free diet excluding food products containing wheat, rye and barley. There is, however, only scarce evidence as to harmful effects of rye in coeliac disease. To confirm the assumption that rye should be excluded from the coeliac patient's diet, we now sought to establish whether rye secalin activates toxic reactions in vitro in intestinal epithelial cell models as extensively as wheat gliadin. Further, we investigated the efficacy of germinating cereal enzymes from oat, wheat and barley to hydrolyse secalin into short fragments and whether secalin-induced harmful effects can be reduced by such pretreatment. In the current study, secalin elicited toxic reactions in intestinal Caco-2 epithelial cells similarly to gliadin: it induced epithelial cell layer permeability, tight junctional protein occludin and ZO-1 distortion and actin reorganization. In high-performance liquid chromatography and mass spectroscopy (HPLC-MS), germinating barley enzymes provided the most efficient degradation of secalin and gliadin peptides and was thus selected for further in vitro analysis. After germinating barley enzyme pretreatment, all toxic reactions induced by secalin were ameliorated. We conclude that germinating enzymes from barley are particularly efficient in the degradation of rye secalin. In future, these enzymes might be utilized as a novel medical treatment for coeliac disease or in food processing in order to develop high-quality coeliac-safe food products.
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Enfermedad Celíaca/inmunología , Grano Comestible/enzimología , Germinación , Glútenes/metabolismo , Glútenes/toxicidad , Mucosa Intestinal/efectos de los fármacos , Secale/química , Avena/enzimología , Células CACO-2 , Membrana Celular/efectos de los fármacos , Citoesqueleto/efectos de los fármacos , Impedancia Eléctrica , Gliadina/inmunología , Gliadina/metabolismo , Glútenes/inmunología , Hordeum/enzimología , Humanos , Mucosa Intestinal/citología , Proteínas de la Membrana/metabolismo , Ocludina , Pepsina A/metabolismo , Fragmentos de Péptidos/análisis , Fragmentos de Péptidos/metabolismo , Fragmentos de Péptidos/farmacología , Péptido Hidrolasas/metabolismo , Permeabilidad/efectos de los fármacos , Fosfoproteínas/metabolismo , Uniones Estrechas/efectos de los fármacos , Uniones Estrechas/metabolismo , Triticum/química , Triticum/enzimología , Tripsina/metabolismo , Proteína de la Zonula Occludens-1RESUMEN
We perform a systematic study of the resonant transmission of visible and near-infrared (NIR) light through a single subwavelength slit in a gold film when the parameters defining the structure are varied. We further examine the optical properties of a related nanostructure, a cross with subwavelength sized features. Focused ion beam (FIB) milling was used to fabricate nanoslits and crosses with linewidths ranging from 26 nm to 85 nm. The dimensions of the structure are found to affect strongly the transmittance spectrum. For example, as the slit becomes narrower the resonance is observed to both sharpen and shift significantly. Our observations are in good agreement with our earlier numerical calculations on the optical properties of nanoslits.
RESUMEN
Coeliac disease is an autoimmune-mediated disorder with both innate and adaptive immune components. The disease is triggered by dietary gluten, which provokes the development of a massive immune reaction leading to the destruction of the small-intestinal mucosal morphology and intestinal dysfunction. Besides the typical small-bowel symptoms extraintestinal manifestations may also arise in a subset of coeliac disease patients. In addition, gluten evokes the production of antibodies mainly targeting deamidated gluten peptides or transglutaminase 2. Although coeliac disease has traditionally been regarded as a T cell-mediated disorder, this review discusses the role of the gluten-induced disease-specific anti-transglutaminase 2-autoantibodies in the pathogenesis of the disease.
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Autoanticuerpos/inmunología , Enfermedad Celíaca/inmunología , Proteínas de Unión al GTP/inmunología , Transglutaminasas/inmunología , Autoanticuerpos/farmacología , Enfermedad Celíaca/inducido químicamente , Enfermedad Celíaca/patología , Proteínas de Unión al GTP/antagonistas & inhibidores , Glútenes/efectos adversos , Glútenes/inmunología , Humanos , Mucosa Intestinal/inmunología , Proteína Glutamina Gamma Glutamiltransferasa 2 , Transglutaminasas/antagonistas & inhibidoresRESUMEN
BACKGROUND: Coeliac disease is caused by dietary gluten, which triggers chronic inflammation of the small intestine in genetically predisposed individuals. In one quarter of the patients the disease manifests in the skin as dermatitis herpetiformis. Recently, a novel candidate gene, myosin IXB on chromosome 19p13, was shown to be associated with coeliac disease in the Dutch and Spanish populations. The same gene has previously been associated with inflammatory bowel disease, systemic lupus erythematosus and rheumatoid arthritis risk, making myosin IXB a potential shared risk factor in these inflammatory disorders. METHODS: In this study, previously reported myosin IXB variants were tested for genetic linkage and association with coeliac disease in 495 Hungarian and Finnish families and in an additional 270 patients and controls. RESULTS AND CONCLUSION: The results show significant linkage (logarithm of odds (LOD) 3.76, p = 0.00002) to 19p13 which supports the presence of a genuine risk factor for coeliac disease in this locus. Myosin IXB variants were not associated with coeliac disease in this study; however, weak evidence of association with dermatitis herpetiformis was found. The association could not explain the strong linkage seen in both phenotypes, indicating that the role of other neighbouring genes in the region cannot be excluded. Therefore, more detailed genetic and functional studies are required to characterise the role of the myosin IXB gene in both coeliac disease and dermatitis herpetiformis.
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Enfermedad Celíaca/genética , Dermatitis Herpetiforme/genética , Miosinas/genética , Alelos , Estudios de Casos y Controles , Enfermedad Celíaca/complicaciones , Cromosomas Humanos Par 19/genética , Dermatitis Herpetiforme/complicaciones , Femenino , Finlandia , Predisposición Genética a la Enfermedad , Variación Genética , Glútenes/efectos adversos , Haplotipos , Homocigoto , Humanos , Hungría , Enfermedades Inflamatorias del Intestino/genética , Desequilibrio de Ligamiento , Masculino , Factores de RiesgoRESUMEN
Wheat gliadin induces severe intestinal symptoms and small-bowel mucosal damage in coeliac disease patients. At present, the only effective treatment for the disease is a strict life-long gluten-free diet. In this study we investigated whether probiotics Lactobacillus fermentum or Bifidobacterium lactis can inhibit the toxic effects of gliadin in intestinal cell culture conditions. The ability of live probiotics to inhibit peptic-tryptic digested gliadin-induced damage to human colon cells Caco-2 was evaluated by measuring epithelial permeability by transepithelial resistance, actin cytoskeleton arrangements by the extent of membrane ruffling and expression of tight junctional protein ZO-1. B. lactis inhibited the gliadin-induced increase dose-dependently in epithelial permeability, higher concentrations completely abolishing the gliadin-induced decrease in transepithelial resistance. The same bacterial strain also inhibited the formation of membrane ruffles in Caco-2 cells induced by gliadin administration. Furthermore, it also protected the tight junctions of Caco-2 cells against the effects of gliadin, as evinced by the pattern of ZO-1 expression. We conclude thus that live B. lactis bacteria can counteract directly the harmful effects exerted by coeliac-toxic gliadin and would clearly warrant further studies of its potential as a novel dietary supplement in the treatment of coeliac disease.
Asunto(s)
Bifidobacterium , Gliadina/antagonistas & inhibidores , Mucosa Intestinal/efectos de los fármacos , Probióticos/farmacología , Células CACO-2 , Membrana Celular/efectos de los fármacos , Membrana Celular/metabolismo , Permeabilidad de la Membrana Celular/efectos de los fármacos , Impedancia Eléctrica , Células Epiteliales/efectos de los fármacos , Células Epiteliales/metabolismo , Gliadina/toxicidad , Humanos , Mucosa Intestinal/metabolismo , Limosilactobacillus fermentum , Proteínas de la Membrana/metabolismo , Fosfoproteínas/metabolismo , Uniones Estrechas/efectos de los fármacos , Triticum/química , Proteína de la Zonula Occludens-1RESUMEN
Coeliac disease is characterized by immunoglobulin-A (IgA)-class autoantibodies targeted against transglutaminase 2 (TG2), a multi-functional protein also with a role in angiogenesis. These antibodies are present in patient serum but are also found bound to TG2 below the epithelial basement membrane and around capillaries in the small intestinal mucosa. Based on these facts and the information that the mucosal vasculature of coeliac patients on a gluten-containing diet is disorganized, we studied whether the coeliac disease-specific autoantibodies targeted against TG2 would disturb angiogenesis. The effects of coeliac disease-specific autoantibodies on in vitro angiogenesis were studied in angiogenic cell cultures. The binding of the antibodies to cells, endothelial sprouting, migration of both endothelial and vascular mesenchymal cells, the integrity of the actin cytoskeleton in both cell types and the differentiation of vascular mesenchymal cells were recorded. In vitro, IgA derived from coeliac disease patients on a gluten-containing diet binds to surface TG2 on endothelial and vascular mesenchymal cells and this binding can be inhibited by the removal of TG2. In addition, coeliac disease-specific autoantibodies targeting TG2 disturb several steps of angiogenesis: endothelial sprouting and the migration of both endothelial and vascular mesenchymal cells. Furthermore, the autoantibodies cause disorganization of the actin cytoskeleton in both capillary cell types that account most probably for the defective cellular migration. We conclude that coeliac disease-specific autoantibodies recognizing TG2 inhibit angiogenesis in vitro. This disturbance of the angiogenic process could lead in vivo to the disruption of the mucosal vasculature seen in coeliac disease patients on a gluten-containing diet.
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Autoanticuerpos/fisiología , Enfermedad Celíaca/inmunología , Proteínas de Unión al GTP/inmunología , Neovascularización Patológica/inmunología , Transglutaminasas/inmunología , Células Cultivadas , Técnicas de Cocultivo , Células Endoteliales/inmunología , Endotelio Vascular/inmunología , Endotelio Vascular/patología , Humanos , Inmunoglobulina A/inmunología , Inmunoglobulina G/inmunología , Células Madre Mesenquimatosas/inmunología , Proteína Glutamina Gamma Glutamiltransferasa 2RESUMEN
Histone acetylation plays a key role in the regulation of gene expression. The chromatin structure and accessibility of genes to transcription factors is regulated by enzymes that acetylate and deacetylate histones. The Sin3A corepressor complex recruits histone deacetylases and in many cases represses transcription. Here, we report that SAP30L, a close homolog of Sin3-associated protein 30 (SAP30), interacts with several components of the Sin3A corepressor complex. We show that it binds to the PAH3/HID (Paired Amphipathic Helix 3/Histone deacetylase Interacting Domain) region of mouse Sin3A with residues 120-140 in the C-terminal part of the protein. We provide evidence that SAP30L induces transcriptional repression, possibly via recruitment of Sin3A and histone deacetylases. Finally, we characterize a functional nucleolar localization signal in SAP30L and show that SAP30L and SAP30 are able to target Sin3A to the nucleolus.
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Nucléolo Celular/metabolismo , Proteínas Nucleares/metabolismo , Proteínas Represoras/metabolismo , Animales , Línea Celular , Nucléolo Celular/química , Silenciador del Gen , Histona Desacetilasas/metabolismo , Humanos , Ratones , Proteínas Nucleares/análisis , Proteínas Nucleares/química , Señales de Clasificación de Proteína , Transporte de Proteínas , Complejo Correpresor Histona Desacetilasa y Sin3RESUMEN
BACKGROUND: Refractory sprue with malabsorption carries a risk of lymphoma. AIM: To examine whether a good clinical but poor histological response during a strict gluten-free diet predicts a poor outcome. METHODS: The study involved all coeliac patients who showed no histological recovery within 2 years on a strict gluten-free diet. Small intestinal biopsy and bone mineral density were investigated in 2001 and clinical features were followed up until 2005. The results were compared to those in 18 coeliac patients with a good histological recovery. RESULTS: Thirteen coeliac patients had persistent small intestinal villous atrophy despite maintaining gluten-free diet. All had demonstrated a good clinical response. Osteoporosis was found in 58% and 22% of the non-responders and responders, respectively (P = 0.04). In 2005, two of the non-responders had developed symptomatic refractory sprue, one died of lymphoma and one of carcinoid tumour, and one gastric adenocarcinoma was operated. None of the 18 controls had developed refractory sprue or malignancy. The frequency of histological non-responsive disease was 1.9%. CONCLUSIONS: Persistent villous atrophy in adult coeliac disease, even in the absence of symptoms, carries a risk of subsequent severe complications. The follow-up biopsy is important in detecting these individuals.
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Enfermedad Celíaca/dietoterapia , Intestino Delgado/patología , Linfoma/etiología , Adulto , Anciano , Atrofia , Enfermedad Celíaca/diagnóstico , Enfermedad Celíaca/patología , Femenino , Humanos , Mucosa Intestinal/patología , Linfoma/prevención & control , Persona de Mediana Edad , Atención al PacienteRESUMEN
The objective of this study was to compare the lesion detection performance of human observers between thin-section computed tomography images of the breast, with thick-section (>40 mm) simulated projection images of the breast. Three radiologists and six physicists each executed a two alterative force choice (2AFC) study involving simulated spherical lesions placed mathematically into breast images produced on a prototype dedicated breast CT scanner. The breast image data sets from 88 patients were used to create 352 pairs of image data. Spherical lesions with diameters of 1, 2, 3, 5, and 11 mm were simulated and adaptively positioned into 3D breast CT image data sets; the native thin section (0.33 mm) images were averaged to produce images with different slice thicknesses; average section thicknesses of 0.33, 0.71, 1.5 and 2.9 mm were representative of breast CT; the average 43 mm slice thickness served to simulate simulated projection images of the breast.The percent correct of the human observer's responses were evaluated in the 2AFC experiments. Radiologists lesion detection performance was significantly (p < 0.05) better in the case of thin-section images, compared to thick section images similar to mammography, for all but the 1 mm lesion diameter lesions. For example, the average of three radiologist's performance for 3 mm diameter lesions was 92% correct for thin section breast CT images while it was 67% for the simulated projection images. A gradual reduction in observer performance was observed as the section thickness increased beyond about 1 mm. While a performance difference based on breast density was seen in both breast CT and the projection image results, the average radiologist performance using breast CT images in dense breasts outperformed the performance using simulated projection images in fatty breasts for all lesion diameters except 11 mm. The average radiologist performance outperformed that of the average physicist observer, however trends in performance were similar. Human observers demonstrate significantly better mass-lesion detection performance on thin-section CT images of the breast, compared to thick-section simulated projection images of the breast.
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Neoplasias de la Mama/diagnóstico por imagen , Mama/patología , Procesamiento de Imagen Asistido por Computador/métodos , Mamografía/métodos , Variaciones Dependientes del Observador , Interpretación de Imagen Radiográfica Asistida por Computador/métodos , Tomografía Computarizada por Rayos X/métodos , Adulto , Anciano , Simulación por Computador , Femenino , Humanos , Imagenología Tridimensional/métodos , Persona de Mediana Edad , Reconocimiento Visual de Modelos , Análisis y Desempeño de TareasRESUMEN
The scintigraphic findings from eight patients who underwent splenectomy for splenomegaly secondary to diffuse large-cell lymphoma are described. Large focal photopenic areas were found in all cases, either solitary or multiple. The appearance is relatively typical for large-cell lymphoma, which should be strongly considered in a nontraumatized patient who presents with painful splenomegaly of unknown origin.
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Linfoma/diagnóstico por imagen , Neoplasias del Bazo/diagnóstico por imagen , Esplenomegalia/diagnóstico por imagen , Diagnóstico Diferencial , Humanos , Hígado/diagnóstico por imagen , Cintigrafía , Bazo/diagnóstico por imagen , Esplenectomía , Esplenomegalia/patología , Esplenomegalia/cirugía , Azufre , Tecnecio , Azufre Coloidal Tecnecio Tc 99mRESUMEN
We analyze the spectral properties of resonant transmission of light through a sub-wavelength slit in a metal film. We show that the enhanced transmission can be understood in terms of interfering surface-wave-like modes propagating in the slit. We characterize the effect of geometrical and material properties of the slit on the transmission spectrum. Furthermore, we show that the wavelength of the transmission resonance strongly depends on the surrounding medium. This effect may be utilized in sensors, imaging, and the detection of, e.g. biomolecules.
RESUMEN
Monte Carlo procedures using the SIERRA code (validated in a companion article) were used to investigate the scatter properties in mammography. The scatter to primary ratio (SPR) was used for quantifying scatter levels as a function of beam spectrum, position in the field, air gap, breast thickness, tissue composition, and the area of the field of view (FOV). The geometry of slot scan mammography was also simulated, and SPR values were calculated as a function of slot width. The influence of large air gaps (to 30 cm) was also studied in the context of magnification mammography. X-ray energy and tissue composition from 100% adipose to 100% glandular demonstrated little effect on the SPR. Air gaps over a range from 0 to 30 mm showed only slight effects. The SPR increased with increased breast thickness and with larger fields of view. Measurements from 82 mammograms provided estimates of the range of compressed breast thickness (median: 5.2 cm, 95% range: 2.4 cm to 7.9 cm) and projected breast area onto the film (left craniocaudal view, median: 146 cm2, 95% range: 58 cm2 to 298 cm2). SPR values for semicircular breast shapes, Mo/Mo spectra, and a 15 mm air gap were parametrized as a function of breast thickness and (semicircular) breast diameter. With the coefficients a = - 2.35452817439093, b = 22.3960980055927, and c = 8.85064260299289, the equation SPR= [a + b x (diameter in cm)--(-1.5) + c x (thickness in cm) --(-0.5)]-- -1 produces SPR data from 2 to 8 cm and from 3 to 30 cm breast diameters with an average error of about 1%.