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We investigate the regularity of the free boundary for the Signorini problem in R n + 1 . It is known that regular points are ( n - 1 ) -dimensional and C ∞ . However, even for C ∞ obstacles φ , the set of non-regular (or degenerate) points could be very large-e.g. with infinite H n - 1 measure. The only two assumptions under which a nice structure result for degenerate points has been established are when φ is analytic, and when Δ φ 0 . Finally, we construct some new examples of free boundaries with degenerate points.We consider the Fröhlich Hamiltonian in a mean-field limit where many bosonic particles weakly couple to the quantized phonon field. DMX-5084 chemical structure For large particle numbers and a suitably small coupling, we show that the dynamics of the system is approximately described by the Landau-Pekar equations. These describe a Bose-Einstein condensate interacting with a classical polarization field, whose dynamics is effected by the condensate, i.e., the back-reaction of the phonons that are created by the particles during the time evolution is of leading order.We describe a simple and fast technique to perform ultrasound differential phase contrast (DPC) imaging in arbitrarily thick scattering media. Although configured in a reflection geometry, DPC is based on transmission imaging and is a direct analog of optical differential interference contrast. DPC exploits the memory effect and works in combination with standard pulse-echo imaging, with no additional hardware or data requirements, enabling complementary phase contrast (in the transverse direction) without any need for intensive numerical computation. We experimentally demonstrate the principle of DPC using tissue phantoms with calibrated speed-of-sound inclusions.While facial coverings reduce the spread of SARS-CoV-2 by viral filtration, masks capable of viral inactivation by heating can provide a complementary method to limit transmission. Inspired by reverse-flow chemical reactors, we introduce a new virucidal face mask concept driven by the oscillatory flow of human breath. The governing heat and mass transport equations are solved to evaluate virus and CO2 transport. Given limits imposed by the kinetics of SARS-CoV-2 thermal inactivation, human breath, safety, and comfort, heated masks may inactivate SARS-CoV-2 to medical-grade sterility. We detail one design, with a volume of 300 ml at 90°C that achieves a 3-log reduction in viral load with minimal impedance within the mask mesh, with partition coefficient around 2. This is the first quantitative analysis of virucidal thermal inactivation within a protective face mask, and addresses a pressing need for new approaches for personal protective equipment during a global pandemic.Steroid cell tumours are rare type of sex cord-stromal tumour of the ovary, with the average age at diagnosis during the fourth decade of life. A 2-year-old girl presented with virilisation, precocious pseudopuberty and Cushing syndrome. Her morning cortisol level was elevated and there was left lower abdominal mass found in radiological examination. An explorative laparotomy followed by a left salpingo-oophorectomy was performed. Histopathological examination revealed an encapsulated solid yellow-tan tumour composed of polygonal cells arranged in nests/lobes, containing numerous vascular channels, with abundant, clear-to-granular eosinophilic cytoplasm, severe nuclear pleomorphism and no Reinke crystals present consistent with an ovarian steroid cell tumour (NOS). The tumours cells were diffusely positive with calretinin, weak focal positive for inhibin, melan-A, pankeratin, chromogranin and negative for AFP, HMB-45 and androgen receptors. Following the tumour removal, blood pressure regressed to normal. The patient was discharged and advised for outpatient care.Gastroesophageal adenocarcinomas have a high risk of brain metastases. Patients with oesophageal cancer often present with symptoms of gastrointestinal (GI) obstruction and bleeding. On the other hand, high-dose steroids are used to supress brain oedema in cases of brain tumour, resulting in a drastic rise in appetite. Parenteral nutrition appears to reduce the appetite of humans, so it can be used in palliative patients who receive hypocaloric food to combat hunger. A man, 53 years old with intracranial metastasis space-occupying lesions (SOL) from oesophageal adenocarcinoma and cachexia, received 3x10 mg dexamethasone followed by tapering. Acute upper GI bleeding occurred during hospitalisation; thus, enteral feeding was delayed, and intravenous feeding was otherwise given. After two weeks of hospitalisation, we found that there was a decrease in hunger, change in clinical condition, tolerance to food, and functional ability.Hyperimmunoglobulin E syndrome (HIES) is a rare multisystem syndrome that affects musculoskeletal system, connective tissue, and immune system. Immune dysregulation in hyperimmunoglobulin E syndrome often accompanied by autoimmune diseases, such as systemic lupus erythematosus. While the role of IgG autoantibody is well known in the pathogenesis of systemic lupus erythematosus, other subtypes of autoantibodies, IgE in particular, are now known to be involved in autoimmune process. A female with known elevated IgE was diagnosed with adult onset HIES. Atypical chest pain and otherwise normal cardiac imaging studies prompted her for further lab testings. Positive antinuclear antibody immunofluorescence test and elevated anti ds-DNA led to SLE diagnosis. Lack of characteristic clinical manifestations complicates establishing HIES while showing the extent to which IgE elevation could be related to SLE.

Despite Human Immunodeficiency Virus (HIV) being a major global health burden, no currently available therapy can eliminate it. One of the major challenges in developing treatment is the presence of latent HIV reservoirs. On the other hand, development of Clustered Regularly Interspaced Palindromic Repeats-Cas9 (CRISPR-Cas9) has made genome editing possible and thus can be used to address HIV latency and successfully treat HIV. This literature review aims to identify and appraise existing CRISPR-Cas9 strategies that address HIV treatment, particularly during latency.

The PubMed Database was used to retrieve relevant articles. This review included articles that mentioned the use of CRISPR-Cas9 as a treatment for HIV and are written in English and/or Indonesian language.

The included studies (n = 17) showed that the CRISPR-Cas9 system can be utilized to disrupt the HIV-1 genome to inhibit viral reproduction and virulence. This system can be further optimized by combining several CRISPR-Cas9 systems. However, the use of CRISPR-Cas9 may cause HIV resistance, particularly to its guide RNA.

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