Several Inequalities Involving Two Simplexes and Interior Points

This article establishes several new geometric inequalities, which refer to the lengthes of the edges of a simplex and interior point, height, lateral area, and the circumradius of another simplex.

Inequalities for inscribed simplexes

The problem on the geometrc inequalities involving an n-dimensional simplex and its inscribed simplex is studied. An inequality is established, which reveals that the difference between the squared circumradius of the n-dimensional simplex and the squared distance between its circumcenter and barycenter times the squared circumradius of its inscribed simplex is not less than the 2(n-1)th power of n times its squared inradius, and is equal to when the simplex is regular and its inscribed siplex is a tangent point one. Deduction from this inequality reaches a generalization of n-dimensional Euler inequality indicating that the circumradius of the simplex is not less than the n-fold inradius. Another inequality is derived to present the relationship between the circumradius of the n-dimensional simplex and the circumradius and inradius of its pedal simplex.

Herpes simplex keratitis:A brief clinical overview

The aim of our minireview is to provide a brief overview of the diagnosis,clinical aspects,treatment options,management,and current literature available regarding herpes simplex keratitis(HSK).This type of corneal viral infection is caused by the herpes simplex virus(HSV),which can affect several tissues,including the cornea.One significant aspect of HSK is its potential to cause recurrent episodes of inflammation and damage to the cornea.After the initial infection,the HSV can establish a latent infection in the trigeminal ganglion,a nerve cluster near the eye.The virus may remain dormant for extended periods.Periodic reactivation of the virus can occur,leading to recurrent episodes of HSK.Factors triggering reactivation include stress,illness,immunosuppression,or trauma.Recurrent episodes can manifest in different clinical patterns,ranging from mild epithelial involvement to more severe stromal or endothelial disease.The severity and frequency of recurrences vary among individuals.Severe cases of HSK,especially those involving the stroma and leading to scarring,can result in vision impairment or even blindness in extreme cases.The cornea's clarity is crucial for good vision,and scarring can compromise this,potentially leading to visual impairment.The management of HSK involves not only treating acute episodes but also implementing long-term strategies to prevent recurrences and attempt repairs of corneal nerve endings via neurotization.Antiviral medications,such as oral Acyclovir or topical Ganciclovir,may be prescribed for prophylaxis.The immune response to the virus can contribute to corneal damage.Inflammation,caused by the body's attempt to control the infection,may inadvertently harm the corneal tissues.Clinicians should be informed about triggers and advised on measures to minimize the risk of reactivation.In summary,the recurrent nature of HSK underscores the importance of both acute and long-term management strategies to preserve corneal health and maintain optimal visual function.

Study on Joint Method of 3D Acoustic Emission Source Localization Simplex and Grid Search Scanning

Acoustic emission(AE)source localization is a fundamental element of rock fracture damage imaging.To improve the efficiency and accuracy of AE source localization,this paper proposes a joint method comprising a three-dimensional(3D)AE source localization simplex method and grid search scanning.Using the concept of the geometry of simplexes,tetrahedral iterations were first conducted to narrow down the suspected source region.This is followed by a process of meshing the region and node searching to scan for optimal solutions,until the source location is determined.The resulting algorithm was tested using the artificial excitation source localization and uniaxial compression tests,after which the localization results were compared with the simplex and exhaustive methods.The results revealed that the localization obtained using the proposed method is more stable and can be effectively avoided compared with the simplex localization method.Furthermore,compared with the global scanning method,the proposed method is more efficient,with an average time of 10%–20%of the global scanning localization algorithm.Thus,the proposed algorithm is of great significance for laboratory research focused on locating rupture damages sustained by large-sized rock masses or test blocks.

Interleukin 1βreceptor and synaptic dysfunction in recurrent brain infection with Herpes simplex virus type-1

Several experimental evidence suggests a link between brain Herpes simplex virus type-1 infection and the occurrence of Alzheimer’s disease.However,the molecular mechanisms underlying this association are not completely understood.Among the molecular mediators of synaptic and cognitive dysfunction occurring after Herpes simplex virus type-1 infection and reactivation in the brain neuroinflammatory cytokines seem to occupy a central role.Here,we specifically reviewed literature reports dealing with the impact of neuroinflammation on synaptic dysfunction observed after recurrent Herpes simplex virus type-1 reactivation in the brain,highlighting the role of interleukins and,in particular,interleukin 1βas a possible target against Herpes simplex virus type-1-induced neuronal dysfunctions.

Bilateral meibomian gland morphological alterations in unilateral herpes simplex keratitis based on artificial intelligence analysis

AIM:To explore whether unilateral herpes simplex keratitis(HSK)can cause morphological changes of bilateral meibomian glands(MGs)based on artificial intelligence(AI)analytical system.METHODS:In the retrospective study,29 patients with unilateral HSK and 29 participants matched in terms of age and sex were included as control group.Meibographic images of the upper eyelid using Keratograph 5M and assessed ocular surface parameters including tear meniscus height and tear break-up time.MG density and vagueness values were automatically analyzed and calculated using an AI analytical system.We compared the differences between the affected and the contralateral unaffected eyes in HSK patients,and the normal control eyes.We employed either the paired t-test or the Wilcoxon signed-rank test to compare significant difference between the affected and unaffected eyes in HSK patients or between the HSK group and control group.RESULTS:The MG density was 0.19±0.09 in the HSKaffected eye and 0.18±0.07 in contralateral unaffected eye,which had no significant difference(P=0.616).The MG density between the affected eye with HSK and the normal control group was statistically significant(P=0.028).There was a significant difference in MG density between the contralateral unaffected eye and the normal control group(P=0.012).However,no significant difference in vagueness value was observed between the eye with HSK and the control group or between HSK eye and contralateral eye.CONCLUSION:The MG density between the HSKaffected eye and the contralateral unaffected eye don’t significantly differ,whereas there is a significant decrease in the HSK group compared to that of the normal participants.Unilateral HSV keratitis may suffer from bilateral changes of MG morphology indicating bilateral dry eye.Therefore,the fellow eye of patients with unilateral HSK should be considered a potential case of MG dysfunction,necessitating early treatment for bilateral dry eye in the clinic.

Recurrent herpes infection showing a new facial phenotype:A case report

BACKGROUND Facial herpes is a common form of the herpes simplex virus-1 infection and usually presents as vesicles near the mouth,nose,and periocular sites.In contrast,we observed a new facial symptom of herpes on the entire face without vesicles.CASE SUMMARY A 33-year-old woman with a history of varicella infection and shingles since an early age presented with sarcoidosis of the entire face and neuralgia without oral lesions.The patient was prescribed antiviral treatment with valacyclovir and acyclovir cream.One day after drug administration,facial skin lesions and neurological pain improved.Herpes simplex without oral blisters can easily be misdiagnosed as pimples upon visual examination in an outpatient clinic.CONCLUSION As acute herpes simplex is accompanied by neuralgia,prompt diagnosis and prescription are necessary,considering the pathological history and health conditions.

Black Garlic as an Antiviral for Herpes Simplex Virus-2 in Lung Cells

Allicin, an antioxidant, is known for providing garlic with its unique fragrance and taste, as well as for its antimicrobial properties. Black garlic, a fermented form of garlic, contains higher levels of antioxidants than fresh garlic. Antioxidants play a vital role in alleviating cellular stress during viral infections. Viral infections result in oxidative stress through the production of reactive oxidative species (ROS). A prolonged state of oxidative stress can result in cell death, DNA damage, and disease progression. In this study, black garlic extract (BGE) is evaluated for its ability to mitigate cytopathic effects and oxidative stress caused by herpes simplex virus-2 (HSV-2) infections in vitro. Antiviral assays were performed to determine the percent of viral inhibition resulting from treatment with the BGE. ROS-GloTM H2O2 assays were then completed to measure the post-infection ROS levels of BGE-treated virus and cells. The results thus far suggest that BGE may inhibit viral infection and decrease levels of oxidative stress.

HISP-1 Inhibits HSV-1 Infection in Cultured Vero Cells

Herpes simplex virus-1 (HSV-1) remains a leading cause of viral disease worldwide and is spread by direct contact with infected lesions. There is no vaccine against HSV-1 infections and there remains a need to identify therapeutics that could reduce the spread. In this study various hispolon compounds were analyzed to determine their antiviral potential against HSV-1 infections in cultured Vero cells. To determine the effects on infectivity and possible mechanisms of inhibition, the following assays were conducted. In vitro cytotoxicity assays were conducted to determine the effect of the compounds on cell viability and the maximum non-cytotoxic concentrations. Antiviral assays measured cell viability, percent inhibition of infection following treatment with the compounds, and the effect on the viral infection cycle. These effects were visualized using inverted light and fluorescent microscopy. Of the 24 hispolons tested, only hispolon pyrazole-1 (HISP-1) demonstrated antiviral effects. HISP-1 was demonstrated to effect early stages in HSV-1 infection in cultured Vero cells (attachment, penetration, and post-penetration). In silico modeling analyses were conducted to analyze the interactions between HISP-1 and viral glycoprotein D (gD). HISP-1 is safe at concentrations tested and is effective in inhibiting infection of HSV-1 in cultured cells. HISP-1 has potential for therapeutic use as an antiviral against HSV-1 infection, could work in synergy with other antivirals that work be a different modality, and could be developed as a component of a topical agent to reduce the spread of HSV-1 infections.

Management strategies for common viral infections in pediatric renal transplant recipients

Viral infections have been considered as a major cause of morbidity and mortality after kidney transplantation in pediatric cohort.Children are at high risk of acquiring virus-related complications due to immunological immaturity and the enhanced alloreactivity risk that led to maintenance of high immunosuppressive regimes.Hence,prevention,early detection,and prompt treatment of such infections are of paramount importance.Among all viral infections,herpes viruses(herpes simplex virus,varicella zoster virus,Epstein-Barr virus,cytomegalovirus),hepatitis B and C viruses,BK polyomavirus,and respiratory viruses(respiratory syncytial virus,parainfluenza virus,influenza virus and adenovirus)are common in kidney transplant recipients.These viruses can cause systemic disease or allograft dysfunction affecting the clinical outcome.Recent advances in technology and antiviral therapy have improved management strategies in screening,monitoring,adoption of prophylactic or preemptive therapy and precise treatment in the immunocompromised host,with significant impact on the outcome.This review discusses the etiology,screening and monitoring,diagnosis,prevention,and treatment of common viral infections in pediatric renal transplant recipients.

Possible viral agents to consider in the differential diagnosis of blepharoconjunctivitis

BACKGROUND Blepharoconjunctivitis poses a diagnostic challenge due to its diverse etiology,including viral infections.Blepharoconjunctivits can be acute or chronic,selflimiting,or needing medical therapy.AIM To review possible viral agents crucial for accurate differential diagnosis in cases of blepharoconjunctivitis.METHODS The PubMed database was searched for records relating to viral blepharoconjunctivitis.The search string generated was“("virally"[All Fields]OR"virals"[All Fields]OR"virology"[MeSH Terms]OR"virology"[All Fields]OR"viral"[All Fields])AND"Blepharoconjunctivitis"[All Fields]".RESULTS A total of 24 publications were generated from the search string.Reference lists from each relevant article were also searched for more information and included in this review.Viral etiologies such as adenovirus,herpes simplex virus(HSV),varicella-zoster virus(VZV),and Epstein-Barr virus(EBV)are frequently implicated.Adenoviral infections manifest with follicular conjunctivitis and preauricular lymphadenopathy,often presenting as epidemic keratoconjunctivitis.HSV and VZV infections can result in herpetic keratitis and may exhibit characteristic dendritic corneal ulcers.EBV,although less common,can cause unilateral or bilateral follicular conjunctivitis,particularly in immunocompromised individuals.Other potential viral agents,such as enteroviruses and molluscum contagiosum virus,should also be considered,especially in pediatric cases.CONCLUSION Prompt recognition of these viral etiologies is essential for appropriate management and prevention of complications.Thus,a thorough understanding of the clinical presentation,epidemiology,and diagnostic modalities is crucial for accurate identification and management of viral blepharoconjunctivitis.

Role of viruses in periodontitis:An extensive review of herpesviruses,human immunodeficiency virus,coronavirus-19,papillomavirus and hepatitis viruses

Periodontitis is the inflammation of the supporting structures around the dentition.Several microbial agents,mostly bacteria,have been identified as causative factors for periodontal disease.On the other hand,oral cavity is a rich reservoir for viruses since it contains a wide variety of cell types that can be targeted by viruses.Traditionally,the focus of research about the oral flora has been on bacteria because the most widespread oral diseases,like periodontitis and dental caries,are outcomes of bacterial infection.However,recently and especially after the emergence of coronavirus disease 2019,there is a growing tendency toward including viruses also into the scope of oral microbiome investigations.The global high prevalence of periodontitis and viral infections may point out to a concomitant or synergistic effect between the two.Although the exact nature of the mechanism still is not clearly understood,this could be speculated through the manipulation of the immune system by viruses;hence facilitating the furthermore colonization of the oral tissues by bacteria.This review provides an extensive and detailed update on the role of the most common viruses including herpes family(herpes simplex,varicella-zoster,Epstein-Barr,cytomegalovirus),Human papillomaviruses,Human immunodeficiency virus and severe acute respiratory syndrome coronavirus 2 in the initiation,progression and prognosis of periodontitis.

傣药“雅解”:宾蒿、傣百解及竹叶兰的生物活性及其解毒机制

傣药“雅解”是傣族传统医学中最具特色的药物和治疗方法。其中,宾蒿(Clerodendrum chinense var.simplex)、傣百解(Marsdenia tenacissima)和竹叶兰(Arundina graminifolia)作为3种常见的“雅解”被广泛使用。本研究使用石油醚、乙酸乙酯、正丁醇或水依次萃取3种“雅解”的乙醇提取物获得各极性部位,并制备3种“雅解”的水煎剂。经测定3种“雅解”的总黄酮质量分数为22.41~586.39 mg/g,高于总多酚质量分数(2.76~28.66 mg/g)。3种“雅解”的提取物均可清除DPPH、·OH和ABTS自由基,其中对ABTS自由基的清除率高于其他自由基(IC50>380μg/mL)。它们对大肠杆菌、铜绿假单胞菌和金黄色葡萄球菌的抑制作用较弱。此外,3种“雅解”具有一定的抗炎作用,在60μg/mL的质量浓度下即可显著下调脂多糖刺激巨噬细胞产生的NO、肿瘤坏死因子-α、白细胞介素-1β和白细胞介素-6。综上所述,本研究通过现代科学手段初步揭示了3种“雅解”的解毒作用机理,为“雅解”的进一步优化与研究奠定了基础。

Continuous-discontinuous element method for three-dimensional thermal cracking of rocks

Thermal cracking of rocks can significantly affect the durability of underground structures in engineering practices such as geothermal energy extraction,storage of nuclear waste and tunnelling in freezeethaw cycle induced areas.It is a scenario of strong coupled thermomechanical process involving discontinuity behaviours of rocks.In this context,a numerical model was proposed to investigate the thermal cracking of rocks,in a framework of the continuous-discontinuous element method(CDEM)for efficiently capturing the initiation and propagation of multiple cracks.A simplex integration strategy was adopted to account for the influences of temperature-dependent material properties.Several benchmark tests were considered and the obtained results were compared with analytical solutions and numerical results from the literature.The results show that the fracture degree of the cases when considering temperature-dependent material parameters had 10%differences approximately compared with the cases with constant parameters.

Autoimmune complications and clinical outcomes of herpes simplex encephalitis in children: A case series

Objective:To report the neurologic prognosis and autoimmune complications of 16 cases of childhood herpes simplex virus encephalitis.Methods:The study was conducted atŞanlıurfa Training and Research Hospital,Turkey from June 2017 to August 2019.The study included 16 pediatric patients aged between 6 months and 17 years(median age 77.7 months)who were diagnosed with herpes simplex virus type 1 encephalitis by pediatric infectious disease and pediatric neurology clinics.Patients were followed using patient records,and interviews at the pediatric neurology clinic or via the telephone.Clinical and demographic data,received therapies,neurologic prognosis and complications were evaluated.Results:Patients with and without autoimmune encephalitis were compared in terms of age,sex,symptom duration before treatment,initial cerebrospinal fluid protein,glucose,red blood count and white blood count but no significant difference was found.Autoimmune complications were seen in four patients.N-methyl-D-aspartate encephalitis was observed in three patients and choreoathetosis was seen in one patient.The average follow-up period was 48.3 months.Twenty-five percent of the patients were receiving multiple antiepileptic drug(AED)treatment,43.8%were receiving single AED treatment and 31.3%were not receiving AED treatment at the end of the follow-up.Motor disability was observed in 12.5%and drug-resistant epilepsy was observed in 6.3%who had autoimmune complications.Conclusions:Seizures and movement disorders were controlled with immunotherapy and autoantibodies should be studied routinely.Treatment should be started early upon recognition of autoimmune complications through follow-up by measuring autoantibody levels and clinical examination results.Effective prevention and curative treatment modalities are needed to avoid herpes simplex virus encephalitis complications.

TLE orbit determination using simplex method

Two-Line Element(TLE)datasets are the only orbital data source of Earth-orbiting space objects for many civil users for their research and applications.The datasets have uneven qualities that may affect the reliability of the propagated positions of space objects using a single TLE.The least squares approach to use multiple TLEs also suffers from the poor quality of some TLEs,and reliable error information cannot be available.This paper proposes a simplex algorithm to estimate an optimal TLE from multiple TLEs and obtain the uncertainty of each element.It is a derivative-free technique that can deal with various orbit types.Experiments have demonstrated that using the TLE estimated from the simplex method is more reliable,stable,and effective than those from the batch least squares method.As an application example,the optimal TLE and its uncertainty are used for predicting the fallen area,keeping the actual fallen site in the prediction areas.

Antiviral activity of mangiferin from the rhizome of Anemarrhena asphodeloides against herpes simplex virus type 1

Objective:To evaluate the antiviral activity of pure compounds against herpes simplex virus type 1(HSV-1)from the rhizome of Anemarrhena asphodeloides.Methods:Bioassay-guided isolation was conducted to separate the active compound and its chemical structure was elucidated by spectral analysis.In vitro antiviral efficacy of active compound was detected by Cell Counting Kit-8 assay,plaque reduction assay,and fluorescence observation.RT-PCR was used to determine the viral load and the cytokine-related gene expression after HSV-1 infection.In vivo study was also conducted to further determine antiviral efficacy of an active compound against HSV-1.Results:An active compound was isolated and elucidated as mangiferin.Mangiferin significantly inhibited the replication of HSV-1 in Vero cells with a half maximal inhibitory concentration(IC_(50))of 64.0 mg/L.Time-of-addition and time-of-removal assays demonstrated that mangiferin could effectively inhibit the replication of HSV-1 in the early stage(8 h).UL12,UL42,and UL54 gene expression levels of HSV-1 in the 64 mg/L mangiferin-treated group were markedly reduced as compared with the HSV-1 group(P<0.01).Fluorescence observation showed that mangiferin attenuated the mitochondrial damage maintainingΔΨm induced by HSV-1 in Vero cells.The expression of inflammatory factors TNF-α,IL-1β,and IL-6 was remarkably increased in the virus-infected group as compared with that in the normal group(P<0.05),the levels of these inflammatory factors dropped after treatment with mangiferin.Mangiferin significantly decreased the viral load and attenuated the HSV-1-induced up-regulation of TNF-α,IL-1β,and IL-6.The relative protection rate of HSV-1-infected mice could reach up to55.5%when the concentration of mangiferin was 4 g/kg.Conclusions:Mangiferin exhibits promising antiviral activity against HSV-1 in vitro and in vivo and could be a potential antiviral agent for HSV-1.

Optimal Design of Aperture Illuminations for Microwave Power Transmission with Annular Collection Areas

This work presents an optimal design method of antenna aperture illumination for microwave power transmission with an annular collection area.The objective is to maximize the ratio of the power radiated on the annular collection area to the total transmitted power.By formulating the aperture amplitude distribution through a summation of a special set of series,the optimal design problem can be reduced to finding the maximum ratio of two real quadratic forms.Based on the theory of matrices,the solution to the formulated optimization problem is to determine the largest characteristic value and its associated characteristic vector.To meet security requirements,the peak radiation levels outside the receiving area are considered to be extra constraints.A hybrid grey wolf optimizer and Nelder–Mead simplex method is developed to deal with this constrained optimization problem.In order to demonstrate the effectiveness of the proposed method,numerical experiments on continuous apertures are conducted;then,discrete arrays of isotropic elements are employed to validate the correctness of the optimized results.Finally,patch arrays are adopted to further verify the validity of the proposed method.

Optimization of a Single Flash Geothermal Power Plant Powered by a Trans-Critical Carbon Dioxide Cycle Using Genetic Algorithm and Nelder-Mead Simplex Method

The usage of renewable energies,including geothermal energy,is expanding rapidly worldwide.The low efficiency of geothermal cycles has consistently highlighted the importance of recovering heat loss for these cycles.This paper proposes a combined power generation cycle(single flash geothermal cycle with trans-critical CO_(2) cycle)and simulates in the EES(Engineering Equation Solver)software.The results show that the design parameters of the proposed system are significantly improved compared to the BASIC single flash cycle.Then,the proposed approach is optimized using the genetic algorithm and the Nelder-Mead Simplex method.Separator pressure,steam turbine output pressure,and CO_(2) turbine inlet pressure are three assumed variable parameters,and exergy efficiency is the target parameter.In the default operating mode,the system exergy efficiency was 32%,increasing to 39%using the genetic algorithm and 37%using the Nelder-Mead method.

Malignant form of hidroacanthoma simplex:A case report

BACKGROUND This paper presents a case of malignant hidroacanthoma simplex(HAS)and review the literature of previous cases to summarize the histopathological and immunohistochemical features and display the dermoscopic features of malignant HAS.CASE SUMMARY We present an 88-year-old Asian female with malignant HAS.The diagnosis was made according to the histopathological and immunohistochemical results after biopsy.Previous case reports of malignant HAS were retrieved from PubMed to characterize the histopathological and immunohistochemical features.We also display the dermoscopic features of malignant HAS that have not been reported.CONCLUSION Our findings demonstrate that prompt surgical treatment is an effective strategy for malignant HAS.Histopathology and immunohistochemistry are valuable diagnostic tools.This is the first case report to display the dermoscopic features of malignant HAS,and we speculate that dermoscopy may contribute to the diagnosis of malignant HAS.